 - 102*(-312)/1008. Let -16/7 + 8/7*i - 10/7*i**3 - b*i**4 + 2/7*i**5 + 20/7*i**2 = 0. What is i?
-2, -1, 1, 2
Let x = -113 + 163. Solve x*i**4 - 6*i**3 + 51*i**4 + 8*i - 103*i**4 = 0 for i.
-2, 0, 1
Let u(p) be the second derivative of 169*p**7/294 + 26*p**6/15 + 111*p**5/70 + p**4/3 + p**3/42 - 42*p. Find g such that u(g) = 0.
-1, -1/13, 0
Let j be (71 + -75)/(1/30)*72/(-600). Determine h, given that 3/5*h**2 + 15*h + j = 0.
-24, -1
Let s(q) = q**2 + 1455*q + 2909. Let i be s(-2). Factor 2 + 26/3*f + 44/3*f**2 + 2/3*f**5 + 14/3*f**4 + 12*f**i.
2*(f + 1)**4*(f + 3)/3
Suppose -22*g + 20*g = 20, -54 = 4*v + 5*g - 16. Factor 4/3 + 2/3*d**2 - 8/3*d**v - 1/3*d**5 - 2*d**4 + 3*d.
-(d - 1)*(d + 1)**3*(d + 4)/3
Let m(u) be the first derivative of u**3 + 5697*u**2/2 + 5694*u - 10822. Determine t so that m(t) = 0.
-1898, -1
Suppose -667 = -5*a - 3*v + 161, 3*v = 3. Suppose -32 = -a*z + 161*z. What is n in 73/2*n**2 - 43/2*n**3 - 28*n + 11/2*n**4 + z - 1/2*n**5 = 0?
1, 4
Suppose 161 = 37*b + 50. Factor -9567 + 12*o**2 - 15*o + 3*o**b + 9567.
3*o*(o - 1)*(o + 5)
Let x be 3 + -17 - (-9 - -3). Let u be x/(-48)*-4 + 10/6. Factor -v**2 - u + 17/4*v.
-(v - 4)*(4*v - 1)/4
Let y(m) be the second derivative of m**5/5 + 35*m**4/3 - 304*m**3/3 + 312*m**2 - 488*m. Factor y(i).
4*(i - 2)**2*(i + 39)
Let g(i) = -i**3 + 4*i**2 + 14*i - 29. Let u be g(4). Suppose -21*h + u*h = 30. Let 6*n**h + 2*n**4 + 8/3 + 16/3*n - 14/3*n**2 - 34/3*n**3 = 0. What is n?
-1, -2/3, 1
Let h(i) be the second derivative of -i**7/189 - 4*i**6/27 - 49*i**5/30 - 26*i**4/3 - 20*i**3 + 2*i + 2432. Find k, given that h(k) = 0.
-6, -5, -3, 0
Let u(b) = -b - 1. Let p be u(-3). Let l = 10562 - 10556. Determine q, given that q**2 - 4*q**2 - 66*q**3 + l*q**p + 72*q**3 = 0.
-1/2, 0
Let z(k) be the second derivative of k**5/70 - 11*k**4/42 + 31*k**3/21 - 3*k**2 + 894*k. Let z(m) = 0. Calculate m.
1, 3, 7
Let v be ((-451)/110 - (-2 - 2)) + (-74949)/(-415). Factor 1/2*w**2 + v + 19*w.
(w + 19)**2/2
Let b = -58 + 395. Let h = -94 + b. Determine d so that -11*d**3 + 12*d + 24*d**2 + 26*d**3 + 246*d**4 - h*d**4 = 0.
-2, -1, 0
Let d be 75/1425*(-76)/(-2). Factor 3/2*j**3 + d*j**4 - 10*j**2 + 0 + 25/4*j + 1/4*j**5.
j*(j - 1)**2*(j + 5)**2/4
Let q(v) be the third derivative of 5*v**8/336 - 2*v**7/7 - 79*v**6/24 + 595*v**5/6 - 875*v**4/2 + 2500*v**3/3 - 2*v**2 + 79*v + 5. Solve q(f) = 0 for f.
-10, 1, 10
Let h = -1263839/9 - -140427. Let -2/9*v**2 + 16/9 + h*v = 0. What is v?
-2, 4
Let h = 1217/1080 - 1/540. Let a be (-3)/(63/(-2)) - (-1080)/36288. Determine p, given that p**2 + 0 + h*p - a*p**3 = 0.
-1, 0, 9
Suppose 148*g - 143*g = 240. Factor 256*x + 452*x**2 - g + 18*x**3 + 4*x**3 - 2*x**3 - 128.
4*(x + 1)*(x + 22)*(5*x - 2)
Let a(d) be the second derivative of -4*d**6/75 - 51*d**5/50 + 41*d**4/6 - 16*d**3/5 + 1972*d. Suppose a(r) = 0. Calculate r.
-16, 0, 1/4, 3
Suppose -2*j + 4*t + 22 = 0, -5*j + 73 = -5*t + t. Suppose 22*q - j*q = 20. Let 0*s + 12/11*s**3 + 2/11*s**q + 10/11*s**2 + 0 = 0. What is s?
-5, -1, 0
What is i in -2/5*i**2 + 54/5*i - 52/5 = 0?
1, 26
Let u(r) be the first derivative of 0*r**2 + 8/9*r**3 - 70 + 1/15*r**5 + 1/2*r**4 + 0*r. Factor u(v).
v**2*(v + 2)*(v + 4)/3
Let o(p) = 9*p**2 + 2*p - 3. Let j be o(2). Let f = j + -33. Determine i, given that -60*i + 46*i + 12*i**2 + f*i**3 - 12 + 12*i**3 - 2*i**5 = 0.
-2, -1, 1, 3
Let m(n) be the second derivative of 1 - 1/12*n**4 + 0*n**2 + 2/3*n**3 - 18*n. Factor m(i).
-i*(i - 4)
Let g(b) = 45*b - 18. Let o(z) = -2*z**2 - 11 - 9 + 45*z + 1 + 3*z**2. Let u(f) = -5*g(f) + 6*o(f). Let u(s) = 0. Calculate s.
-8, 1/2
Let r(d) be the third derivative of 3*d**2 + 1/90*d**5 - 8*d + 0 - d**4 + 36*d**3. Factor r(n).
2*(n - 18)**2/3
What is m in -2*m**3 - 518*m + 250*m**2 - m**3 - 134*m**2 - 598 + m**3 - 38 = 0?
-1, 6, 53
Factor 549081/2*v**2 + 1853*v**4 + 0*v - 2748369/4*v**3 - 5/4*v**5 + 0.
-v**2*(v - 741)**2*(5*v - 2)/4
Let d be -52 + 59 + 92/(-16). Let i(t) be the second derivative of d*t**3 + 9/8*t**2 + 0 - 6*t + 3/16*t**4. Factor i(k).
3*(k + 3)*(3*k + 1)/4
Let h(m) be the first derivative of 11*m**3/24 + 41*m**2/8 - 26*m - 2584. Determine b, given that h(b) = 0.
-104/11, 2
Suppose -48*s + 35*s**3 + 4100757*s**2 + 3*s**4 + 13*s**3 - 4100676*s**2 - 84 = 0. Calculate s.
-14, -2, -1, 1
Suppose -2*i + 2*h = 2*i - 26, 4*h = -4*i + 44. Let y be 15/(-40)*2 - (-22)/i. Factor -j - j - j**2 + y*j - j.
-j*(j + 1)
Let d(o) be the third derivative of -115*o - 10/21*o**3 - 1/420*o**6 + 13/84*o**4 - 1/105*o**5 + o**2 + 0. Factor d(h).
-2*(h - 2)*(h - 1)*(h + 5)/7
Let l(a) be the second derivative of -2*a**7/63 + 2*a**6/9 - 2*a**5/5 + 9*a + 5. Factor l(d).
-4*d**3*(d - 3)*(d - 2)/3
Let y(j) = -j**3 - 164*j**2 + 185*j + 5. Let t(v) = 83*v**2 + 4*v**3 - 3*v**3 + 368 - 92*v - 370. Let s(a) = 5*t(a) + 2*y(a). Factor s(w).
3*w*(w - 1)*(w + 30)
Suppose -2098*b + 5*m = -2103*b - 10, -4*b + 27 = -3*m. Let r(k) be the first derivative of -10/3*k**b + 10*k**2 + 6 + 40*k - 5/4*k**4. Factor r(z).
-5*(z - 2)*(z + 2)**2
Suppose 17*m = 243 - 56. Factor 276*z - 3015 + 11*z**2 + 6*z**2 + m*z**2 - 31*z**2 - 3333.
-3*(z - 46)**2
Let n(s) be the first derivative of s**5 + 5*s**4/2 - 140*s**3/3 + 115*s**2 - 105*s + 461. Factor n(u).
5*(u - 3)*(u - 1)**2*(u + 7)
Solve -30*z**2 - 3/7*z**5 - 60/7*z**3 + 72/7*z**4 + 9*z + 138/7 = 0 for z.
-1, 1, 2, 23
Let p(j) = j**3 + 2*j**2 + 3*j + 5. Let g be p(-2). Let r be (18/27)/(g/(-3)). Suppose -6*q**r - 5*q**2 + 6*q**2 + 10*q = 0. Calculate q.
0, 2
Suppose -2*o + 3*i - 7*i = -52, -68 = -2*o + 4*i. Let o*g - 34 + 1 - 17*g**2 - 5 + 12*g**2 - 2 = 0. Calculate g.
2, 4
Let m(f) be the third derivative of -f**5/90 - 95*f**4/36 - 123*f**2 - f - 34. Determine q so that m(q) = 0.
-95, 0
Solve -1/4*c**2 + 0 - 31/4*c = 0 for c.
-31, 0
Solve 14 + 71/3*s + 37/3*s**2 + 2*s**3 = 0.
-3, -2, -7/6
Let s(o) be the first derivative of -2*o**3/9 - 47*o**2/3 - 140*o - 5226. Factor s(d).
-2*(d + 5)*(d + 42)/3
Let k(z) be the first derivative of 7*z**4/30 - 4*z**3/45 - 28*z**2/15 + 16*z/15 + 1227. Solve k(p) = 0 for p.
-2, 2/7, 2
Let z(a) = 59*a + 63. Let v be z(-1). Let q(c) be the third derivative of -1/20*c**6 + 1/6*c**5 - 4*c**2 + 0*c + 0*c**3 - 1/6*c**v + 0. Factor q(f).
-2*f*(f - 1)*(3*f - 2)
Let a(r) = 2*r - 5. Let u be a(4). Let d be 3 - (u + -1 + 1). Factor 3 - 403*k + d*k**2 - k**2 + 405*k.
-(k - 3)*(k + 1)
Suppose 4*g = u + 18, -2*g + 2*u = 26 - 38. Let y be g*104/192 - (-2)/(-12). Factor 0*p**y + 0 + 3/7*p - 3/7*p**3.
-3*p*(p - 1)*(p + 1)/7
Let c(o) be the third derivative of -o**5/80 - 45*o**4/8 - 2025*o**3/2 + 1083*o**2. Factor c(q).
-3*(q + 90)**2/4
Let d(w) = -3*w**2 + 15*w - 8. Suppose 39 - 7 = z. Let g(n) = -3*n**2 - 67*n + 25*n + z*n - 7 + 25*n. Let j(u) = 5*d(u) - 4*g(u). Factor j(h).
-3*(h - 4)*(h - 1)
Let i(c) be the second derivative of -c**4/3 - 1948*c**3/3 - 474338*c**2 - 19*c - 16. Suppose i(y) = 0. Calculate y.
-487
Let r = 753 + -261. Suppose -9*a = -510 + r. Find q such that 34*q + 62/5*q**a + 10 + 6/5*q**3 = 0.
-5, -1/3
Let z(h) be the second derivative of 1/165*h**6 + 1/55*h**5 + 8*h - 1/22*h**4 - 8/33*h**3 - 1 - 4/11*h**2. Determine o so that z(o) = 0.
-2, -1, 2
Let v(h) = -5*h**2 + 36*h - 7. Let k be v(7). Let s(o) be the third derivative of k*o + 1/72*o**4 - 1/135*o**5 + 1/54*o**3 - 14*o**2 + 0. Factor s(p).
-(p - 1)*(4*p + 1)/9
Let 32/9*y**5 - 28/3 - 958/9*y**3 - 16/3*y**4 - 604/3*y**2 - 730/9*y = 0. What is y?
-3, -2, -1/4, 7
Let r**2 - 13*r + 547 - 1065 + 660 - 51*r - 9*r = 0. What is r?
2, 71
Suppose 0 = -4*t + 36, 0*j - 3*t + 118 = -j + 91. Factor 0*l + j + 2/13*l**2 + 6/13*l**3.
2*l**2*(3*l + 1)/13
Determine d so that -411*d**3 + 20*d**4 - 30067*d**2 - 186*d**3 + 29975*d**2 + 60*d = 0.
-2/5, 0, 1/4, 30
Let d be (-18*16/(-4320))/(7/756). Factor -5*b**2 - d + 12*b.
-(5*b - 6)**2/5
Let s(x) be the third derivative of -x**6/420 - 71*x**5/210 - 325*x**4/28 + 507*x**3 - 825*x**2. Determine h so that s(h) = 0.
-39, 7
Let r = -38608 + 38611. Factor -2/3*u**5 - 10*u**r + 0 - 8/3*u - 26/3*u**2 - 14/3*u**4.
-2*u*(u + 1)**3*(u + 4)/3
Let w = 1704/1415 - -112/283. Let z(y) be the first derivative of 0*y**2 + 28 + 1/3*y**6 + 0*y - 1/2*y**4 + 8/3*y**3 - w*y**5. Factor z(u).
2*u**2*(u - 4)*(u - 1)*(u + 1)
Let i(y) be the second derivative of -2