-2*w**3*(w - 2)/7
Let f(t) = -5*t**4 + t**3 + 30*t**2 + 22*t + 2. Let r(o) = -51*o**4 + 9*o**3 + 300*o**2 + 219*o + 21. Let y(j) = 21*f(j) - 2*r(j). Solve y(k) = 0.
-2, -1, 0, 4
Suppose -2*g + 212 = 2*u, u + 3*u - 3*g = 389. Let d = -101 + u. Determine o so that 8*o**2 + d - 61/2*o**4 + 19/2*o**3 - 30*o**5 - 2*o = 0.
-1, -2/3, 0, 1/4, 2/5
Let l = 10117/5 + -2023. Find w such that -4/5*w**2 + 2/5*w**5 + 4/5*w**4 + 0*w**3 + 0 - l*w = 0.
-1, 0, 1
Suppose d - 5*v = 0, d + 1 = 3*v + 3. Let u(j) be the second derivative of 3/10*j**d + 0 + 0*j**4 + 3/2*j**2 - j**3 - 1/10*j**6 - 6*j. Factor u(c).
-3*(c - 1)**3*(c + 1)
Let n(t) be the third derivative of -t**7/105 - 3*t**6/20 - 4*t**5/15 + 11*t**2 + 1. Let n(f) = 0. Calculate f.
-8, -1, 0
Let f(g) be the third derivative of 1/40*g**6 + 0*g**3 + 1/48*g**4 + 0*g + 1/30*g**5 + 1/672*g**8 + 1/105*g**7 + 10*g**2 + 0. Let f(z) = 0. Calculate z.
-1, 0
Find k such that -16/3 + 4/9*k - 16/9*k**3 + 34/9*k**2 + 2/9*k**4 = 0.
-1, 2, 3, 4
Let d(w) be the first derivative of -w**4/18 + 4*w**3/9 + 7*w**2/9 + 116. Factor d(m).
-2*m*(m - 7)*(m + 1)/9
Suppose 3*b - 3 = 6. Let a(c) = -c**3 + 33*c**2 + 154*c - 222. Let m be a(37). Solve 3*j + m - 3/2*j**2 - 3/2*j**b = 0 for j.
-2, 0, 1
Let g(y) be the second derivative of 0 - 1/12*y**4 - 9*y + 2/3*y**3 - 2*y**2. Solve g(j) = 0 for j.
2
Let z(l) be the third derivative of -2/105*l**7 + 1/3*l**4 + 0*l**3 + 25*l**2 + 1/15*l**5 - 1/15*l**6 + 0*l + 0. Factor z(q).
-4*q*(q - 1)*(q + 1)*(q + 2)
Suppose w = 3*w - 40. Let t be (-9)/((-36)/(-16)) + w. Solve 2*y**4 + t + y**5 - 4*y**2 + y - 7 - 2*y**3 - 7 + 0*y = 0 for y.
-2, -1, 1
Let t(f) be the second derivative of f**6/60 + f**5/8 - f**4/8 - 13*f**3/12 + 5*f**2/2 - 16*f. Factor t(w).
(w - 1)**2*(w + 2)*(w + 5)/2
Let q(n) = -n**3 + 8*n**2 - 7*n + 2. Let o be q(7). Factor 12*x**2 + 200*x**4 - 2*x**o - 80*x**5 + 36*x**3 - 121*x**3.
-5*x**2*(x - 2)*(4*x - 1)**2
Let x(i) = 7*i**2 + 54*i + 44. Let n(s) = 5*s**2 + 54*s + 43. Let f(d) = 4*n(d) - 5*x(d). Factor f(y).
-3*(y + 2)*(5*y + 8)
Let j(b) be the third derivative of 0*b**4 + 1/80*b**6 + 0*b**3 + 0 - 1/140*b**7 + 0*b**5 - 14*b**2 + 0*b. Find f, given that j(f) = 0.
0, 1
Find j such that 2/3*j**4 + 0*j**2 + 0 - 5/6*j**3 + 0*j = 0.
0, 5/4
Let 49/4*i**2 - 23/4*i**3 - 3 - 17/4*i + 3/4*i**4 = 0. What is i?
-1/3, 1, 3, 4
Suppose -2*u + 0 + 14 = 2*r, 3*r = 2*u + 6. Find m, given that -4/5*m**2 + 2/5*m**r + 0 - 2/5*m**3 + 0*m = 0.
-1, 0, 2
Let f(c) = -4*c + 0 + 3 - 5 + 6. Let n be f(-4). Let 29*z**2 + 2 + 12*z - n*z**2 + 1 = 0. What is z?
-1, -1/3
Suppose -2*u**4 - 8*u**4 + 2*u**3 + 34*u**2 - 14*u + 6*u + 8*u - 2*u**5 - 24*u = 0. Calculate u.
-4, -3, 0, 1
Factor -1/2*s**2 + s + 2 - 1/4*s**3.
-(s - 2)*(s + 2)**2/4
Let u(p) be the first derivative of -2/15*p**3 - 32/5*p - 8/5*p**2 + 4. Let u(h) = 0. What is h?
-4
Let h(q) be the third derivative of -q**9/12096 + q**7/1008 - q**5/15 - 11*q**2. Let x(m) be the third derivative of h(m). Factor x(a).
-5*a*(a - 1)*(a + 1)
Let m(j) be the second derivative of j**6/180 - j**5/10 + 3*j**4/4 - 2*j**3 + 3*j. Let z(h) be the second derivative of m(h). Solve z(f) = 0.
3
Let j be (140/(-343))/(((-182)/147)/13). Factor 9/7*r**3 + j*r**2 - 24/7 + 12/7*r.
3*(r + 2)**2*(3*r - 2)/7
Let p be (-1576)/(-985) - (-8)/10*8/16. Solve -14/5*t**3 + 54/5*t**p - 48/5*t - 8/5 = 0.
-1/7, 2
Let i(h) be the first derivative of -h**5/12 + 15*h**4/8 + 13*h**2 - 41. Let w(m) be the second derivative of i(m). What is x in w(x) = 0?
0, 9
Let j(x) be the second derivative of 5*x**4/12 - 5*x**3 - 135*x**2/2 - 10*x + 4. Let j(q) = 0. What is q?
-3, 9
Let z(v) be the second derivative of -v**8/1680 + v**7/210 - v**6/90 + 11*v**4/4 - 33*v. Let s(r) be the third derivative of z(r). Find h, given that s(h) = 0.
0, 1, 2
Let r be 12/5*(-1375)/(-1210). Factor 4/11*t - 2/11 + r*t**2.
2*(3*t + 1)*(5*t - 1)/11
Suppose 24*u = -33*u + 228. Suppose 1/3 + 2/3*m**3 + m**u - 4/3*m**2 - 2/3*m**5 + 0*m = 0. What is m?
-1, -1/2, 1
Suppose 7*z - 174 = z. Suppose z - 13 = 2*l. Factor 30*o**3 - 18*o**2 - 6*o**4 + 6*o**5 - l*o**4 - 4*o**5.
2*o**2*(o - 3)**2*(o - 1)
Let s(v) be the first derivative of v**5/120 - v**3/3 - 5*v**2/2 + 3. Let p(g) be the second derivative of s(g). Determine z, given that p(z) = 0.
-2, 2
Let f(x) = -x**3 + 8*x**2 - 8*x + 17. Let i be f(7). Solve -6 + 5*c - 4 + i*c - 5*c**2 = 0 for c.
1, 2
Let f(n) be the second derivative of n**6/225 - 2*n**5/75 + n**4/45 + 4*n**3/45 - n**2/5 + n - 3. Solve f(g) = 0 for g.
-1, 1, 3
Let c(q) = 2*q**2 + 56*q - 3838. Let i be c(32). Factor -14/5 + 16/5*o - 2/5*o**i.
-2*(o - 7)*(o - 1)/5
Let 3607 + 13883 + 534*r + 1306 + 3*r**2 + 4438 + 529 = 0. What is r?
-89
Let v(d) be the third derivative of 0*d - d**2 + 0 + 5/24*d**4 + 1/60*d**5 + 2/3*d**3. Factor v(b).
(b + 1)*(b + 4)
Suppose -3*h + 7 = -3*v - 8, -2*v + h - 5 = 0. Let l be v/4 - 4/(-9). Factor 0*z**4 + 4/9 + 2/9*z**5 - l*z**2 - 8/9*z**3 + 2/3*z.
2*(z - 2)*(z - 1)*(z + 1)**3/9
Let d(x) be the first derivative of -1/8*x**3 + 3 + 1/16*x**4 + 0*x**2 - 8*x. Let k(s) be the first derivative of d(s). Factor k(n).
3*n*(n - 1)/4
Let a(q) be the second derivative of 0*q**2 - 1/5*q**5 - 9*q - 4/3*q**4 + 10/3*q**3 + 0. Suppose a(w) = 0. Calculate w.
-5, 0, 1
Let t(x) be the first derivative of -3 + 25/2*x**2 - 5/3*x**3 + 0*x. Factor t(u).
-5*u*(u - 5)
Suppose 2*i - 14 = -4. Suppose i*x + z = 21, 5*x = -2*z - 10 + 27. Find n, given that -3*n**3 - 8*n**2 + 8*n**4 + 2*n**3 + n**3 - 4*n + 4*n**x = 0.
-1, 0, 1
What is w in -15 + 5*w**3 - 95/3*w**2 + 55*w = 0?
1/3, 3
Let i be 0*(-6)/36*2/(-4). Let c(n) = -n**3 - n**2 + n + 3. Let o be c(0). Factor -3*g**2 - 2*g + 11*g + i*g**2 - 3*g**2 + g**o.
g*(g - 3)**2
Let m(r) be the second derivative of -r**7/630 + r**6/90 - 9*r**2 + 27*r. Let u(g) be the first derivative of m(g). Factor u(a).
-a**3*(a - 4)/3
Let a(v) = -v**3 + v**2 + v. Let o(z) = -2*z + 5. Let p be o(2). Let q(j) = 46*j**3 + 74*j**2 + 18*j - 12. Let l(i) = p*q(i) + 2*a(i). Factor l(f).
4*(f + 1)**2*(11*f - 3)
Factor -10/3*i + 2 + 2/3*i**3 + 2/3*i**2.
2*(i - 1)**2*(i + 3)/3
Let o = -60 + 44. Let u be (2/14)/(o/(-96)). Factor -4/7 - 2/7*m**2 - u*m.
-2*(m + 1)*(m + 2)/7
Let u be (2 - -2)*(3 - 2). Suppose g + 4 - 14 = -u*a, -5*g = 3*a - 16. Factor 3*h**5 - 7*h**5 + 4*h - 8*h**g + 7*h**4 + h**4 + 0*h**4.
-4*h*(h - 1)**3*(h + 1)
Let c = -63 + 66. Let w(j) be the first derivative of -2/3*j**c + j**4 - j**2 + 0*j + 5. Factor w(u).
2*u*(u - 1)*(2*u + 1)
Let n(j) = j**5 - 2*j**4 + j**2 - j - 1. Let y(m) = -52*m**5 - 265*m**4 + 354*m**3 - 139*m**2 + 16*m - 2. Let u(k) = -2*n(k) + y(k). Let u(r) = 0. Calculate r.
-6, 0, 1/3, 1/2
Suppose 4*d = -z + 16, 9*z - d = 6*z + 9. Let k = 327/2 + -159. What is q in 3/2*q**5 + 3/2*q**2 - 3/2*q**z - k*q**3 + 3*q + 0 = 0?
-1, 0, 1, 2
Let h(n) = n**4 - 2*n**3 + 1. Let r(k) = 5*k**5 - 38*k**4 - 89*k**3 + 1020*k**2 - 900*k + 2. Let w(a) = -2*h(a) + r(a). Factor w(m).
5*m*(m - 6)**2*(m - 1)*(m + 5)
Let l(g) be the first derivative of -g**3/7 + 183*g**2/7 - 11163*g/7 - 16. Factor l(m).
-3*(m - 61)**2/7
Let f(k) = -k**3 + 6*k**2 + 7*k + 8. Let m be f(7). Let x(w) = 4*w - 28. Let s be x(m). Let -21/2*t**3 + 12*t**2 - 49/2*t**s + 0 - 2*t = 0. What is t?
-1, 0, 2/7
Suppose -4*l = 4*k, -l - 6 = -k - k. Solve 0*o**3 - 3*o**3 + o**4 + 9*o**3 + 9*o**k = 0 for o.
-3, 0
Let c(b) = -24*b**2 - 232*b - 340. Let m(f) = 5*f**2 + 47*f + 68. Let u(s) = -3*c(s) - 14*m(s). Solve u(l) = 0.
-17, -2
Let y(w) be the first derivative of -2*w**2 + 31 - 8/5*w**5 + 2/3*w**6 + 0*w + 0*w**4 + 8/3*w**3. Factor y(q).
4*q*(q - 1)**3*(q + 1)
Let t be 3 + 1 + 186/54 + -7. Let u(n) be the third derivative of 0*n - 1/6*n**4 - 4*n**2 + 0 - 1/45*n**5 - t*n**3. What is a in u(a) = 0?
-2, -1
Factor 7*h + 4*h**2 + 1/3*h**3 - 98/3.
(h - 2)*(h + 7)**2/3
Let x(u) = 11*u**2 - 92*u - 100. Let q(b) = 35*b**2 - 275*b - 300. Let f(p) = -3*q(p) + 10*x(p). Factor f(l).
5*(l - 20)*(l + 1)
Let c(l) = l**2 + 4*l - 19. Let k be c(-7). Solve 38*p**2 - 75*p**2 - 2*p**4 + 39*p**k = 0 for p.
-1, 0, 1
Suppose -6*r + 27 - 3 = 0. Factor p**5 - 2*p**r + 16*p**2 - 6 - p - 8*p**3 + 17*p - 26.
(p - 2)**3*(p + 2)**2
Suppose -2*b + 2*f + 2*f = 0, 0 = -3*f + 9. Let k be (1 - 1)/2 - (b - 10). Factor -12/5*z**3 + 0 - 3/5*z**k - 3*z**2 - 6/5*z.
-3