u(i) be the second derivative of -i**7/1260 - i**6/180 + i**4/9 + 2*i**3/3 + 3*i**2 + 7*i + 1. Let m(x) be the second derivative of u(x). Factor m(o).
-2*(o - 1)*(o + 2)**2/3
Find z, given that -722/9*z - 130321/9 - 1/9*z**2 = 0.
-361
Solve -1/8*n**2 + 209/8 - n = 0 for n.
-19, 11
Let z(a) = -5*a**2 + 4*a + 15. Let h(r) = -27*r**2 + 21*r + 75. Let y be 1*5*((-64)/40 + 2). Let l(j) = y*h(j) - 11*z(j). Factor l(t).
(t - 5)*(t + 3)
Let z = -560159/30 - -18672. Let c(g) be the second derivative of 1/15*g**3 + 0 - 16*g - z*g**4 - 1/50*g**5 + 1/5*g**2. Factor c(j).
-2*(j - 1)*(j + 1)**2/5
Let r(i) be the third derivative of i**8/28 + 16*i**7/105 - 7*i**6/5 - 28*i**5/3 - 19*i**4/2 + 24*i**3 + 279*i**2. Let r(x) = 0. Calculate x.
-3, -1, 1/3, 4
Let b(d) be the second derivative of 2*d**6/15 + 39*d**5/5 + 37*d**4/3 - 26*d**3 - 76*d**2 - 818*d. Solve b(m) = 0 for m.
-38, -1, 1
Let h(l) be the third derivative of 46*l + 0 - 37/6*l**3 - 1/24*l**4 + 1/120*l**6 + 37/60*l**5 - 3*l**2. Find g, given that h(g) = 0.
-37, -1, 1
Let l = 2078/27 - 8285/108. What is t in -1/4 - 1/4*t**4 - 1/2*t**3 + l*t + 1/2*t**2 + 1/4*t**5 = 0?
-1, 1
Let c(v) be the first derivative of -192 - 1/8*v**4 + 10*v + 3/2*v**3 - 6*v**2. Suppose c(a) = 0. Calculate a.
2, 5
Let l be 10/390 + 11984059/18915. Factor -l*u + 102*u**2 - 21/5*u**3 + 864/5.
-3*(u - 12)**2*(7*u - 2)/5
Let p(b) be the third derivative of -3*b**4/8 - 59*b**3/6 + 271*b**2. Let v be p(-7). Factor -4/5*m**v + 0*m - 4/5 + 8/5*m**2 + 0*m**3.
-4*(m - 1)**2*(m + 1)**2/5
Let n be (-3*(-6)/(-27))/(-6). Let x(q) be the second derivative of -2/27*q**3 + n*q**4 + 0 - 2/3*q**2 + 1/45*q**5 + 15*q. Factor x(u).
4*(u - 1)*(u + 1)*(u + 3)/9
Let m(z) = 56*z**4 + 180*z**3 + 160*z**2. Let g(l) = l**5 - l**3. Let i(x) = -4*g(x) - m(x). Suppose i(q) = 0. Calculate q.
-10, -2, 0
Suppose -133*f - 168*f - 2460 - 531*f + 20*f**2 - 24*f**2 = 0. What is f?
-205, -3
Let f(c) = -147*c**2 - 168*c - 16. Let m(r) be the first derivative of 368*r**3/3 + 210*r**2 + 40*r + 7. Let q(w) = 12*f(w) + 5*m(w). Let q(y) = 0. Calculate y.
-1, -2/19
Suppose -5*b - 6392 = -9*b. Factor -3*l**2 - 1831 - 678 - b - 27*l + 249*l.
-3*(l - 37)**2
Suppose 132 = -7*b + 13*b. Suppose -b*h = -15*h - 14. Factor 0 + 128/19*d**3 - 96/19*d**h + 18/19*d.
2*d*(8*d - 3)**2/19
Suppose 15*z + 1351 = 1126. Let o be z + (-9 - -21) - 66/(-20). Factor -1/5*u + o*u**2 + 0 - 1/10*u**3.
-u*(u - 2)*(u - 1)/10
Let f(o) be the second derivative of -200*o**2 - 2/5*o**6 - 53*o**4 - 160*o**3 + 0 - 38/5*o**5 - 233*o. Determine u, given that f(u) = 0.
-5, -2, -2/3
Let h = -153495 - -1687123/11. Let k = -1314/11 - h. Find y such that -k*y + 2/11*y**4 + 0 + 2/11*y**3 - 8/11*y**2 = 0.
-2, -1, 0, 2
Let g(u) be the second derivative of -13/5*u**6 - 143*u**4 - 639/20*u**5 - 1/14*u**7 + 0 - 242*u**3 - 88*u + 0*u**2. Factor g(r).
-3*r*(r + 2)**2*(r + 11)**2
Suppose -4*f - g = -220, -50 = -f + 3*g + 5. Let d be -4 - (-11)/(f/35). Suppose 23/2*q**d + 9/2*q**2 + 0 + 1/2*q + 15/2*q**4 = 0. Calculate q.
-1, -1/3, -1/5, 0
Suppose 0 = 10*i - 49*i - 21*i. Let l(q) be the third derivative of i*q + 25/63*q**3 + 0 + 1/630*q**5 + 5*q**2 - 5/126*q**4. Find w such that l(w) = 0.
5
Let a(c) = 11*c**2 + 23*c + 12. Let t(v) = 5*v**2 + 11*v + 6. Let r(k) = 4*a(k) - 9*t(k). Let g be r(-5). Solve -131*h + 23 + g*h**2 + 159*h + 1 = 0.
-6, -1
Factor 116808 - 17062 - 19045 + 34899 + 696*w**2 + 31620*w + 4*w**3.
4*(w + 4)*(w + 85)**2
Let q = -21145/111 + 7110/37. Factor -q - 4/3*n + 1/3*n**2.
(n - 5)*(n + 1)/3
Let v(r) be the first derivative of r**3/3 - 3*r**2/2 - 176*r - 182. Let d be v(-12). Factor 0*c**3 + 8/7*c + 12/7*c**2 + 0 - 4/7*c**d.
-4*c*(c - 2)*(c + 1)**2/7
Let g = -993340 - -993342. Factor -78/5*r - 2/5*r**g - 76/5.
-2*(r + 1)*(r + 38)/5
Let t(k) be the third derivative of -k**7/420 + 3*k**6/80 + 3*k**5/8 - 113*k**4/48 + 5*k**3 - 324*k**2 - 11*k. Let t(a) = 0. Calculate a.
-5, 1, 12
Let i(j) be the first derivative of j**5/5 + 51*j**4/4 - 281*j**3/3 - 51*j**2/2 + 280*j - 6476. What is x in i(x) = 0?
-56, -1, 1, 5
Let x(t) be the first derivative of 4*t**5/5 - 2*t**4 - 12*t**3 + 4*t**2 + 32*t + 327. Let x(v) = 0. What is v?
-2, -1, 1, 4
Let p be (6/(-7))/(15/((-3360)/64)). Let r(c) be the first derivative of -2/15*c**5 + 0*c**2 + 1/27*c**6 - 2/27*c**3 + 0*c + 1/6*c**4 + p. Factor r(t).
2*t**2*(t - 1)**3/9
Let h be (4/(-3) + 2)/((-2)/(-6)). Suppose -47 = -h*c - 3*x + 80, -2*x = 2*c - 122. Determine d so that c*d + 7*d**2 + 4 + 192 - 3*d**2 = 0.
-7
Let a = 152463/35 - 4356. Let c(y) be the first derivative of -15/28*y**4 - 21 - 6/7*y**2 + 0*y + a*y**5 + 8/7*y**3. Let c(j) = 0. What is j?
0, 1, 2
Factor -18/5 + 1479/5*z**2 + 4431/5*z.
3*(z + 3)*(493*z - 2)/5
Suppose -16*l = -474 + 186. Let y be (l/(-70))/((-141)/940). Factor y - 3/7*i**2 + 0*i.
-3*(i - 2)*(i + 2)/7
Let f(c) be the third derivative of 69/10*c**5 + 16*c**3 + 0 - 5*c**2 + 2/35*c**7 - 41/40*c**6 - c - 20*c**4. Factor f(j).
3*(j - 4)**2*(j - 2)*(4*j - 1)
Let x(o) be the second derivative of o**4/78 - 43*o**3/39 + 82*o**2/13 + o + 4144. Suppose x(m) = 0. Calculate m.
2, 41
Let o(j) be the third derivative of 3/16*j**4 - 13/40*j**5 + 0*j**3 + 0 + 4*j**2 - 2*j + 169/960*j**6. Suppose o(u) = 0. What is u?
0, 6/13
Let u be ((-630)/(-72) - 8)/((-1 + -2)*7/(-20)). Let u*s - 6/7*s**2 + 0 + 1/7*s**3 = 0. Calculate s.
0, 1, 5
Let y(s) be the second derivative of -1/72*s**4 - 5/3*s**2 + 1 - 4*s - 7/12*s**3. Determine c, given that y(c) = 0.
-20, -1
Let m(u) be the first derivative of -u**5/25 + 659*u**4/20 + u**3/15 - 659*u**2/10 - 8993. Solve m(f) = 0 for f.
-1, 0, 1, 659
Suppose 0 = -380*j + 385*j + 5. Let k(l) = -5*l**2 + 119*l + 124. Let q(s) = -s - 1. Let z(m) = j*k(m) - 4*q(m). Factor z(u).
5*(u - 24)*(u + 1)
Let n(h) = -3*h**3 - 69*h**2 - 183*h - 72. Let q(u) = -u**3 - 35*u**2 - 91*u - 37. Let k be 12/4*(-3 + (-5 - -11)). Let w(f) = k*q(f) - 4*n(f). Factor w(x).
3*(x - 15)*(x + 1)**2
Let v = -457772 + 4119956/9. Find z, given that v*z**4 + 2/3*z**3 - 4*z**2 + 0 + 0*z - 2/9*z**5 = 0.
-2, 0, 3
Let y(o) be the second derivative of o**4/24 + 35*o**3/12 + 153*o**2/2 - 20*o - 15. Find l such that y(l) = 0.
-18, -17
Let q = 60 - 56. Suppose -24 = -2*h - 5*i, -h - 5 = -q*i + 9. Factor 2*b + 3*b**2 - 57*b**3 + 2*b**5 + 53*b**3 - 3*b**h.
2*b*(b - 1)**2*(b + 1)**2
Let l(u) = u**2. Let x = 177 + -195. Let j(b) = -10*b**2 + 18*b - 17. Let i(p) = x*l(p) - 2*j(p). Determine o so that i(o) = 0.
1, 17
Suppose -2*k + 4*l - 297 + 325 = 0, -3*l - 24 = -3*k. What is g in g**4 + 1/5*g - g**k + 0 - 1/5*g**3 = 0?
-1, 0, 1/5, 1
Let u = 22 + -17. Factor -30 + 42*o**2 - 25*o**2 - u*o - 12*o**2.
5*(o - 3)*(o + 2)
Solve -975/2*v + 33*v**4 - 99*v**3 - 3/2*v**5 - 966*v**2 + 1521 = 0 for v.
-3, -2, 1, 13
Let d(m) = m**2 - m + 1. Let f(j) = -j**2 - 3*j - 1. Let b be f(-1). Let g(k) = -6 + 24 - 7 + 45*k**2 + 19 - 35*k. Let r(p) = b*g(p) - 30*d(p). Factor r(u).
5*u*(3*u - 1)
Let g(l) be the second derivative of -l**4/84 + 85*l**3/7 - 509*l**2/14 + 15*l - 45. Factor g(f).
-(f - 509)*(f - 1)/7
Suppose 96 + 46*b**2 + 13*b**2 + 0*b**2 - 2*b**3 - 3*b**4 - 3*b**2 + b**4 + 152*b = 0. Calculate b.
-4, -2, -1, 6
Let y(j) be the third derivative of j**7/840 - 5*j**6/96 - 47*j**5/40 - 25*j**4/3 - 68*j**3/3 + 1447*j**2. Factor y(u).
(u - 34)*(u + 1)*(u + 4)**2/4
Let n = 1222377 + -6111883/5. Suppose -162/5*u + n*u**2 + 0 = 0. What is u?
0, 81
Let w = 2171813/319385 - -1/63877. Suppose 12/5 + 2*u**3 + 106/15*u - 2/15*u**4 + w*u**2 = 0. Calculate u.
-1, 18
Suppose 4*p - 2*n = 8, -5*p + 4*n = -15 + 5. Factor 989 - 4*r**p - 6*r + 3*r - 941 - r.
-4*(r - 3)*(r + 4)
Let z = 28737 - 28737. Factor 14/3*g**3 + 2*g**2 + 10/3*g**4 + z*g + 0 + 2/3*g**5.
2*g**2*(g + 1)**2*(g + 3)/3
Suppose 4*y + 19 = 5*x, 2*y - 2*x + 257 = 251. Let g(j) be the second derivative of 26*j + 0 - 1/2*j**2 + 1/48*j**y - 1/8*j**3. Factor g(k).
(k - 4)*(k + 1)/4
Let p(i) = 2*i**3 + 9*i**2 + 3*i - 1. Let c be p(-4). Let h(o) = 4*o - 48. Let j be h(14). Solve -6*k**2 - 3*k + 7 + 1 - j - c*k**3 = 0.
-1, 0
Let n be (6/4)/((-10 + 2)/((-32)/8))*4. Let 6*f - 4 + 1/2*f**n - 3*f**2 = 0. Calculate f.
2
Let p = -157859 + 157863. Find k such that -1/3*k**p + 4/3*k + 0 - 4/3*k**3 + 1/3*k**2 = 0.
-4, -1, 0, 1
Let w(y) = 735*y - 3. Let u be w(1). Let -4*