w be 4/6*(-429)/66*11/(-143). Suppose -2*f + 16 = 2*f. Determine b so that -1/3*b + 5/3*b**2 - 2/3 + w*b**3 - b**f = 0.
-1, -2/3, 1
Let o(w) = -9*w + 97. Let a be o(10). Let a + 14 - 1 + 103*i**2 + 100*i - 10*i**3 + 2*i**2 - 35*i**4 = 0. What is i?
-1, -2/7, 2
Let n be ((-297)/36 + 2)*(-112)/210. Factor 0 - 3*h - 1/3*h**3 + n*h**2.
-h*(h - 9)*(h - 1)/3
Let m(a) be the first derivative of -81/2*a**2 - 9*a**3 - 81*a - 3/4*a**4 - 42. Factor m(j).
-3*(j + 3)**3
Suppose -5*j = -b + 40, -3*b + 118 = -4*j - 24. Let v = 52 - b. Factor 56*y**2 - 12 - 6 - 12*y**3 - 28*y - v + 4.
-4*(y - 4)*(y - 1)*(3*y + 1)
Let z be 16380/(-420) - (5 + -44). Factor 192/5*x**3 + z + 48/5*x**4 + 0*x**2 + 3/5*x**5 + 0*x.
3*x**3*(x + 8)**2/5
Let k = -20/13741 + 41263/27482. Determine f so that -k - f**3 - f + 7/2*f**2 = 0.
-1/2, 1, 3
Let v = 2054968 - 591830011/288. Let r = v + 3/32. Determine b so that 35/9*b**4 - 1/9 - 11/9*b - 34/9*b**2 + r*b**5 - 14/9*b**3 = 0.
-1, -1/5, 1
Let h = 485/217 + 64/651. Suppose h*c**4 + 0 - 7/3*c**2 + 1/3*c - 1/3*c**3 = 0. What is c?
-1, 0, 1/7, 1
Let j(h) be the first derivative of 6*h**5/55 + 123*h**4/11 + 478*h**3/11 + 474*h**2/11 - 2884. Determine u, given that j(u) = 0.
-79, -2, -1, 0
Let y(p) be the second derivative of 13/36*p**4 + 0 + 5/6*p**3 - 117*p + 1/3*p**2. Determine u so that y(u) = 0.
-1, -2/13
Let d(i) be the first derivative of 15/4*i**4 + 53 + 75*i - 35/3*i**3 - 215/2*i**2. Factor d(h).
5*(h - 5)*(h + 3)*(3*h - 1)
Determine t, given that -60*t**4 + 632*t**3 - 4*t**2 + 59*t**4 - 9*t**2 - 647*t**3 + 14 + 15*t = 0.
-14, -1, 1
Let p(w) = w**2 + 14*w - 30. Let c be p(-16). Find n, given that 2*n**4 - 19399*n - c*n**3 + 19399*n = 0.
0, 1
Factor 3/7*r**2 + 0 - 33/7*r**3 - 36/7*r**4 + 0*r.
-3*r**2*(r + 1)*(12*r - 1)/7
Let d(m) = -108*m**3 - 1144*m**2 - 1148*m + 4. Let h(y) = -136*y**3 - 1145*y**2 - 1149*y + 5. Let k(t) = 5*d(t) - 4*h(t). Determine s, given that k(s) = 0.
-1, 0, 286
Suppose 2*d + p = 5, 6 = -0*d + 2*d + 2*p. Determine n, given that 48*n + 106*n**4 + 15*n**d - 111*n**4 - 20*n**3 + 42*n = 0.
-3, 0, 2
Let k(t) = 10*t**2 + 31*t - 80. Let s = -125 + 119. Let g(z) = -5*z**2 - 16*z + 40. Let l(d) = s*k(d) - 11*g(d). Factor l(w).
-5*(w - 2)*(w + 4)
Let t = -1632 - -1245. Let w = -385 - t. Find q, given that 6*q**3 - 2*q**5 + 0 + 2/3*q**4 - 4/3*q + w*q**2 = 0.
-1, 0, 1/3, 2
Let f(j) be the third derivative of j**7/6300 + 13*j**6/3600 - 7*j**5/600 + 25*j**4/8 + 157*j**2. Let d(t) be the second derivative of f(t). Factor d(w).
(w + 7)*(2*w - 1)/5
Factor 69*a**2 + 351 - 837/2*a - 3/2*a**3.
-3*(a - 39)*(a - 6)*(a - 1)/2
Let j be (-2)/((-10)/55) + -8. Let -6510 - 18188*u**2 + 1162*u**j - 7162*u**2 + 6193*u + 13307*u + 1510 + 9823*u**3 = 0. What is u?
10/13
Suppose 6717/5*q**2 + 19039/5*q + 161/5*q**3 + 1/5*q**4 + 12482/5 = 0. Calculate q.
-79, -2, -1
Suppose 0 = -3*i - 5*t - 91, -t = -32007*i + 32012*i + 5. Let m be ((-6)/(-10))/((-2)/(-5)). Solve m*p**i - 3/2*p**2 + 0 + 0*p = 0.
0, 1
Let z(r) = -11*r**4 + 2*r**3 + 123*r**2 - 2*r. Let m(n) = -300*n**4 + 55*n**3 + 3320*n**2 - 55*n. Let a(s) = -2*m(s) + 55*z(s). Factor a(o).
-5*o**2*(o - 5)*(o + 5)
Let y = 4/805 + 318/805. Let r(v) be the second derivative of -1/10*v**4 - 26*v + 0*v**2 - y*v**3 + 0. Factor r(k).
-6*k*(k + 2)/5
Let h(f) be the second derivative of -1/12*f**4 + 1/210*f**7 + 1/150*f**6 - 1/15*f**3 - 6*f - 3/100*f**5 + 0*f**2 + 1. Suppose h(a) = 0. What is a?
-1, 0, 2
Let g(v) be the second derivative of v**5/200 + 41*v**4/15 + 6724*v**3/15 + 2*v - 358. Find n, given that g(n) = 0.
-164, 0
Let r be 102147/(-316)*3/(-1558). Let w = r - -3/328. Factor 2/19*f**3 + 0 - w*f**2 + 10/19*f.
2*f*(f - 5)*(f - 1)/19
Let s(z) be the first derivative of 3*z**4 - 32*z**3/3 - 30*z**2 - 16*z + 1073. Solve s(h) = 0 for h.
-1, -1/3, 4
Let l(d) be the second derivative of -d**2 + 1/5*d**5 + 1/3*d**4 - 1/15*d**6 - 1/3*d**3 + 45*d + 2 - 1/21*d**7. Factor l(s).
-2*(s - 1)**2*(s + 1)**3
Factor z - 964*z**2 - 41*z - 960*z**2 - 100 + 1929*z**2.
5*(z - 10)*(z + 2)
What is u in -190/3*u**3 - 228*u**2 + 42*u**4 + 376/3*u - 16 = 0?
-2, 2/9, 2/7, 3
Let h(x) be the third derivative of -95/12*x**4 - 6 + 3*x**2 + 0*x + 185/6*x**3 + 1/12*x**5. Factor h(z).
5*(z - 37)*(z - 1)
Let o(x) be the first derivative of -296*x**5/5 + 361*x**4 - 1892*x**3/3 + 318*x**2 + 108*x + 3548. Suppose o(a) = 0. Calculate a.
-9/74, 1, 3
Let v(b) be the third derivative of 0*b**3 - 1/75*b**5 + 0 + 1/60*b**4 - 2*b + 1/300*b**6 - 34*b**2. Factor v(x).
2*x*(x - 1)**2/5
Let k(c) = 8*c**3 + 16*c**2 - 116*c + 248. Let p(z) = -46 - 21 + 17*z**2 + 225 + 89 - 117*z + 5*z**3. Let u(a) = -2*k(a) + 3*p(a). Factor u(j).
-(j - 7)**2*(j - 5)
Factor 16*b**3 + 146*b**2 + 216*b**2 + 752*b - 4*b**4 + 364 + 21*b**2 + 25*b**2.
-4*(b - 13)*(b + 1)**2*(b + 7)
Let y be (-31)/7 + 1/(-4)*(-138 + 118). Let u = -9 + 9. Factor u - 10/7*v**2 - 2/7*v**4 - y*v - 8/7*v**3.
-2*v*(v + 1)**2*(v + 2)/7
Let n(i) = -2*i**4 + 18*i**3 + 12*i**2 - 18*i - 15. Let k(r) be the first derivative of -r**5/5 + 37. Let u(m) = -5*k(m) + n(m). Factor u(q).
3*(q - 1)*(q + 1)**2*(q + 5)
Let x(s) be the second derivative of -7*s**6/40 - 13*s**5/10 - 13*s**4/8 + 3*s**3 + 32*s**2 - s - 19. Let p(z) be the first derivative of x(z). Solve p(h) = 0.
-3, -1, 2/7
Let z(s) be the second derivative of -s**5/90 + 7*s**3/27 - 2*s**2/3 - 309*s + 1. Find u, given that z(u) = 0.
-3, 1, 2
Find l such that -2*l**2 + 387*l**3 - 192*l**3 + 24 + 2*l**2 + 26*l - 197*l**3 = 0.
-3, -1, 4
Let j = -1002 + 1018. Let d be ((-10)/8)/((-40)/j). Solve 3/4*b**4 + 0*b**2 - 1/4*b**5 + 0*b - d*b**3 + 0 = 0 for b.
0, 1, 2
Suppose 8*v - 3*v = 3*f + 84, -3*v - 3*f + 36 = 0. What is q in v*q**4 + 144 + 22*q**5 - 27*q**5 - 15*q**2 - 144 + 5*q**3 = 0?
-1, 0, 1, 3
Factor 5*i**4 + 15*i**3 + 154*i + 18*i**3 + 16*i**2 - 166*i.
i*(i + 1)*(i + 6)*(5*i - 2)
Let c(x) be the first derivative of -1/5*x**4 - 96/5*x**2 + 4*x**3 + 176/5*x + 40. Find t, given that c(t) = 0.
2, 11
Let z(m) be the second derivative of m**6/60 - 11*m**5/40 + 3*m**4/8 + 11*m**3/12 - 5*m**2/2 - 14*m - 217. Factor z(r).
(r - 10)*(r - 1)**2*(r + 1)/2
Let m(n) be the third derivative of n**8/240 + 51*n**7/350 + 713*n**6/600 + 931*n**5/300 + 5*n**4/2 - 32*n**3/15 + 8064*n**2. Suppose m(g) = 0. What is g?
-16, -4, -1, 1/7
Let d(j) = j**2 + 935*j - 210. Let g(z) = -z**2 - 312*z + 69. Let y(p) = -2*d(p) - 7*g(p). Let y(c) = 0. What is c?
-63, 1/5
Let i(g) be the second derivative of -g**4/6 - 2*g**3/3 + 35*g**2 - 1176*g. Find r, given that i(r) = 0.
-7, 5
Let k = -11184/139 + 67243/834. Factor 0 - k*n**4 - 1/2*n - 1/6*n**3 + 5/6*n**2.
-n*(n - 1)**2*(n + 3)/6
Solve -248*t**3 + 73*t**5 + 277*t + 630 + 662*t - 142*t**5 + 32*t**3 + 66*t**5 + 48*t**4 + 42*t**2 = 0 for t.
-1, 5, 6, 7
Let d(u) = -9*u**2 + 33*u + 60. Let b(y) = 12*y**2 + 1 - 98*y - 11*y**2 + 97*y. Let r(a) = -6*b(a) - d(a). Solve r(f) = 0.
-2, 11
Let t(b) = 2*b**4 - b**3 - b**2. Let n(g) = -41*g**4 - 9*g**3 + 273*g**2 - 392*g. Let l(p) = -4*n(p) - 84*t(p). Factor l(u).
-4*u*(u - 14)**2*(u - 2)
Let q(w) = -2*w**3 + w**2 + w - 2. Let m(n) = 14*n**3 - 10*n**2 - 6*n + 12. Let g be (-9)/(-7) - (1 - (-10)/(-14)). Let o(f) = g*m(f) + 6*q(f). Factor o(r).
2*r**2*(r - 2)
Let z(n) be the second derivative of -4 - 7/6*n**3 + 13/12*n**4 + 9*n + 0*n**2 - 1/4*n**5 - 1/30*n**6. Find v, given that z(v) = 0.
-7, 0, 1
Let w = 17 - -5. Suppose -w*n + 2 = -21*n. Let f(x) = x**2 + 3*x + 3. Let k(i) = 4*i + 2. Let y(z) = n*f(z) - 3*k(z). Solve y(s) = 0 for s.
0, 3
Let w(t) = 5*t**2 - 156*t - 353. Let f(n) = -n**2 - 4*n - 1. Let u(k) = 7*f(k) + w(k). Factor u(d).
-2*(d + 2)*(d + 90)
Let h(m) be the third derivative of m**5/30 + 11*m**4/4 - 78*m**3 - 9*m**2 - 76. Solve h(z) = 0.
-39, 6
Let u(y) be the first derivative of -y**5/10 + 1065*y**4 - 4536900*y**3 + 9663597000*y**2 - 10291730805000*y + 6061. Factor u(p).
-(p - 2130)**4/2
Suppose -44*z = -187 - 473. Let y(q) be the third derivative of z*q**2 - 1/30*q**6 + 0*q**7 + 0*q**5 + 1/84*q**8 + 0*q + 0*q**4 + 0 + 0*q**3. Factor y(i).
4*i**3*(i - 1)*(i + 1)
Let s = 169323/4 - 507965/12. Factor f**2 - 2/3*f + 0 - f**4 + 1/3*f**3 + s*f**5.
f*(f - 2)*(f - 1)**2*(f + 1)/3
Suppose 7*n**5 + 857*n**4 + 67*n**3 - 2157*n**2 + 432 - 113*n**4 + 868*n + 14*n**4 + 128*n**3 - 103*n**2