3*o - 1/3*o**3.
-o*(o - 2)*(o + 2)/3
Suppose 5*c = -0*x + 4*x + 33, 0 = -4*x + 12. Factor -21*n + 18*n - c*n**2 + 15*n - 3.
-3*(n - 1)*(3*n - 1)
Let f(t) be the first derivative of 0*t + 0*t**2 - 1/10*t**4 - 1/15*t**6 + 4/25*t**5 + 0*t**3 + 12. Determine w so that f(w) = 0.
0, 1
Let m(l) be the third derivative of l**7/105 - 17*l**6/300 + 7*l**5/50 - 11*l**4/60 + 2*l**3/15 - 136*l**2. Solve m(n) = 0.
2/5, 1
Let t(k) be the second derivative of -1/30*k**5 - 11*k - 1/6*k**4 - 2/3*k**2 + 1/45*k**6 + 5/9*k**3 + 0. Determine x so that t(x) = 0.
-2, 1
Let g(r) be the third derivative of -1/4*r**5 + 0 + 1/24*r**6 + 5/8*r**4 - 5/6*r**3 + 6*r**2 + 0*r. Suppose g(b) = 0. Calculate b.
1
Let v(n) be the second derivative of -n**8/1344 + n**7/168 - n**6/72 - n**4 - 11*n. Let z(f) be the third derivative of v(f). Determine o so that z(o) = 0.
0, 1, 2
Suppose -20/9 - 10/9*f**2 - 6*f = 0. What is f?
-5, -2/5
Let z(p) be the first derivative of 21*p**4 + 188*p**3/3 + 68*p**2 + 32*p - 56. Factor z(f).
4*(f + 1)*(3*f + 2)*(7*f + 4)
Let n(b) be the third derivative of 0 + 47/175*b**7 + 0*b**3 + 14/25*b**5 - 41/75*b**6 + 21*b**2 - 3/56*b**8 + 0*b - 4/15*b**4. Solve n(c) = 0.
0, 2/3, 4/5, 1
Let w = -1354/5 - -274. Let d(i) be the first derivative of -16/3*i**3 + 2*i**2 + 6*i**4 + 2/3*i**6 + 0*i - 1 - w*i**5. Factor d(a).
4*a*(a - 1)**4
Let k(x) be the second derivative of 2*x**2 - x**3 + 0*x**4 + 0 + 19*x + 1/10*x**5. Determine z so that k(z) = 0.
-2, 1
Let u(l) be the third derivative of l**6/660 + l**5/330 - 17*l**4/132 + 5*l**3/11 - 95*l**2 - 2*l. What is i in u(i) = 0?
-5, 1, 3
Let n(g) be the second derivative of 2/27*g**3 + 0*g**2 - 1/189*g**7 - g + 0 + 1/30*g**5 - 5/54*g**4 + 1/135*g**6. What is i in n(i) = 0?
-2, 0, 1
Suppose 222*k**3 + 0 + 14*k**5 + 172/3*k - 1822/3*k**4 + 314*k**2 = 0. Calculate k.
-1/3, -2/7, 0, 1, 43
Find r such that 0*r - 2/3*r**4 + 10/3*r**3 - 4*r**2 + 0 = 0.
0, 2, 3
Let a be 585/182*(5 + (-3)/15). Factor 72/7*w + 3/7*w**3 - 33/7*w**2 + a.
3*(w - 6)**2*(w + 1)/7
Let -1225 + 91*b + 17*b - 30*b - b**2 + 23*b - 31*b = 0. What is b?
35
Let p(f) be the second derivative of 8/15*f**6 - 1/3*f**3 + 4/21*f**7 - 5/6*f**4 + 20*f + 1/10*f**5 + f**2 + 0. Factor p(z).
2*(z + 1)**3*(2*z - 1)**2
Let h(s) be the first derivative of 0*s + 0*s**2 - 1/10*s**4 - 3 + 2/15*s**3. What is k in h(k) = 0?
0, 1
Let d be -3 + 2 + 5 - -9. Let z(x) = -5*x**3 + 13*x**2 - 21*x + 13. Let f(c) = -2*c**3 + 6*c**2 - 10*c + 6. Let h(w) = d*f(w) - 6*z(w). Factor h(b).
4*b*(b - 1)*(b + 1)
Let k(v) = v**3 + v**2 + 2. Let p(m) = 2*m**3 + 8*m**2 + 22*m - 16. Let q(j) = -4*k(j) + p(j). Factor q(r).
-2*(r - 4)*(r - 1)*(r + 3)
Suppose -7*c - 19 - 9 = 0. Let j be ((-52)/(-91))/(c/(-14)). Suppose -4/9*u - 2/9*u**j + 0 = 0. What is u?
-2, 0
Suppose -70 = 18*k - 124. Factor 0*y**2 - 3*y**k + 3/2*y**4 - 3/2 + 3*y.
3*(y - 1)**3*(y + 1)/2
Let v(k) = -6*k**2 + 54*k - 99. Let z(g) = -21*g**2 + 189*g - 348. Let l(m) = 18*v(m) - 5*z(m). Find q, given that l(q) = 0.
2, 7
Suppose 2*q + i = -2*q + 10, 5*i = q - 13. Suppose 0 = k + 1 - 3, -h - 3 = -q*k. Suppose 0*n**h + 1/2*n**4 + 0 - 3/2*n**2 + n = 0. Calculate n.
-2, 0, 1
Let d be ((-1)/(-9))/((-80)/(-60)). Let u(l) be the second derivative of -d*l**4 + 10*l + 1/12*l**3 + 0 + 1/40*l**5 + 0*l**2. Factor u(i).
i*(i - 1)**2/2
Factor -6/5*g**2 + 12/5 - g - 1/5*g**3.
-(g - 1)*(g + 3)*(g + 4)/5
Suppose 1/5*v**2 + 17/5*v + 6 = 0. Calculate v.
-15, -2
Let v(d) = 6*d - 37 + 97 + 57 + 47. Let g be v(-27). Determine l so that 0 + 2/15*l - 4/15*l**g + 2/15*l**3 = 0.
0, 1
Suppose -8*m = 4*h - 6*m - 22, h - 5*m = 0. Let l(s) be the third derivative of 1/150*s**h + 2/15*s**3 + 1/20*s**4 + 0*s + 6*s**2 + 0. Factor l(t).
2*(t + 1)*(t + 2)/5
Let g(w) be the second derivative of 2/7*w**2 - 1/126*w**4 + 17*w + 0 + 1/63*w**3. Solve g(x) = 0 for x.
-2, 3
Let t = -366 + 368. Let o(l) be the first derivative of 3 + 24/5*l**t - 15/4*l**4 - l**3 - 12/5*l. Determine s so that o(s) = 0.
-1, 2/5
Let p be ((-24)/200)/((-3)/10). Find k, given that 0 + p*k**4 - 2/5*k**3 + 0*k + 2/5*k**5 - 2/5*k**2 = 0.
-1, 0, 1
Suppose -3*g**3 - 3/8*g + 0 - 27/8*g**2 = 0. What is g?
-1, -1/8, 0
Let f(l) be the third derivative of 1/10*l**5 + 28*l**2 + 0 + 0*l - 5/12*l**4 + 2/3*l**3. Factor f(c).
2*(c - 1)*(3*c - 2)
Suppose 6*o + 8*o = 266. Factor 15 - 9*r**2 + 9 + 3*r**4 + r**2 - o*r**2 - 21*r**3 + 21*r.
3*(r - 8)*(r - 1)*(r + 1)**2
Let j(q) = -3*q - 6. Let z be j(-5). Let k(l) = l**2 - 7*l - 8. Let r be k(z). Factor -3*g**4 + 4*g**3 + 2 + 4*g**4 + r*g**2 + 5*g**5 - 9*g - 6*g**4 - 7*g**4.
(g - 1)**3*(g + 1)*(5*g - 2)
Solve -60*h - 34*h**3 - 55*h**2 + 71*h**3 - 32*h**3 = 0 for h.
-1, 0, 12
Let l(b) = -14*b - 44. Let p be l(-4). Suppose -21*v = -17*v - p, 0 = -4*x + v + 5. Find m such that -2/3*m**x - 1/3*m**3 + 8/3 + 4/3*m = 0.
-2, 2
Factor -7/4*t**3 + 3/4*t**5 - 5/4*t**4 - 4*t + 1 + 21/4*t**2.
(t - 1)**3*(t + 2)*(3*t - 2)/4
Let r(s) be the second derivative of -s**7/8820 - s**6/1260 - s**5/420 + 17*s**4/12 - 30*s. Let v(o) be the third derivative of r(o). Factor v(u).
-2*(u + 1)**2/7
Let q(t) be the second derivative of t**4/3 + 10*t**3/3 + 8*t**2 + 18*t. Find m, given that q(m) = 0.
-4, -1
Let m(l) be the first derivative of -27*l**4/4 + 15*l**3 - 21*l**2/2 + 3*l - 55. Factor m(v).
-3*(v - 1)*(3*v - 1)**2
Let b(f) = -3*f**3 - f**2 + f + 2. Let n be b(-1). Suppose -5*k = -n*l + 1, 0*k = 2*l + 2*k - 6. Factor 3/2*p**3 + 3/4*p**5 + 0*p**l - 9/4*p**4 + 0*p + 0.
3*p**3*(p - 2)*(p - 1)/4
Let h = 87 + -85. Solve 10*z**2 - 8*z**2 + 25*z + 5 + 18*z**2 + 15*z**3 + 15*z**h = 0.
-1, -1/3
Suppose -27 = 16*f - 25*f. Let m(u) be the second derivative of -f*u - 1/22*u**4 + 0 - 5/33*u**3 - 2/11*u**2. Factor m(b).
-2*(b + 1)*(3*b + 2)/11
Let d(x) = 31*x**2 + 944*x - 939. Let j(f) = -56*f**2 - 1889*f + 1879. Let i(o) = -11*d(o) - 6*j(o). Factor i(b).
-5*(b - 189)*(b - 1)
Let h(o) = -11*o**2 - 10. Let c be h(5). Let m = 289 + c. Determine j, given that 0 + j**m + 1/2*j**2 + 5/4*j**3 + 0*j + 1/4*j**5 = 0.
-2, -1, 0
Factor 90 - 90 - 10*o + 2*o**2 + 0*o**2.
2*o*(o - 5)
Let v(b) be the first derivative of -b**6/150 + 4*b**5/75 - b**4/6 + 4*b**3/15 + b**2 + 5*b + 24. Let w(i) be the second derivative of v(i). Factor w(r).
-4*(r - 2)*(r - 1)**2/5
Factor -2/3*n + 0 - 16*n**4 - 32/3*n**5 - 2/3*n**3 + 4*n**2.
-2*n*(n + 1)**2*(4*n - 1)**2/3
Factor 73*t - 3*t**2 + 0*t**2 - t**2 + 60*t - 9*t.
-4*t*(t - 31)
Let f(r) be the third derivative of r**5/100 - 2*r**3/5 + 8*r**2 - 5. Factor f(m).
3*(m - 2)*(m + 2)/5
Let b(t) be the first derivative of -2*t**3/27 + 10*t**2 - 450*t + 551. Suppose b(c) = 0. What is c?
45
Let u(a) be the first derivative of a**5/15 + a**4/2 - a**3/3 - 10*a**2/3 - 4*a - 44. Let u(y) = 0. What is y?
-6, -1, 2
Suppose -1305*q**3 + 563*q**2 - 1056*q + 4*q**4 + 484 + 1209*q**3 + 101*q**2 = 0. What is q?
1, 11
Let g = -1335/7 + 191. Let b = 207/7 - 29. Factor -2/7*w**5 + g + b*w**3 - 4/7*w**2 - 2/7*w + 2/7*w**4.
-2*(w - 1)**3*(w + 1)**2/7
Let j(t) be the first derivative of -t**5/10 - 11*t**4/4 - 26*t**3 - 189*t**2/2 - 243*t/2 + 319. What is g in j(g) = 0?
-9, -3, -1
Let v(c) be the second derivative of 1/72*c**4 + 1/15*c**5 + 8*c - 1/3*c**2 + 0 - 2/9*c**3 + 1/60*c**6. Suppose v(j) = 0. Calculate j.
-2, -1, -2/3, 1
What is j in 24/7*j**2 - 20/7*j**3 + 20/7*j - 22/7 - 2/7*j**4 = 0?
-11, -1, 1
Let m(j) be the second derivative of -j**6/480 - j**5/24 - 25*j**4/96 - 12*j**2 - 32*j. Let p(z) be the first derivative of m(z). Suppose p(b) = 0. What is b?
-5, 0
Let x(k) = -5*k**5 - 17*k**4 - 7*k**3 + 5*k**2 + 10*k + 2. Let i(d) = d**4 + d**3 + 5*d**2 - 1. Let q(m) = -2*i(m) - x(m). Solve q(a) = 0 for a.
-2, -1, 0, 1
Let c(d) = 24*d + 19. Let a be c(-3). Let k = a + 55. Solve 0*t**k + 1/2*t**3 - 1/2*t - 1/4 + 1/4*t**4 = 0.
-1, 1
Factor 3/2*g**2 + 21/2 + 12*g.
3*(g + 1)*(g + 7)/2
Let v(i) = -i**3 + i. Let z be v(-2). Suppose -z*j = -3*j - 24. Factor u + 8 - 6*u**3 + 6*u**2 + 2*u**4 - j - 3*u.
2*u*(u - 1)**3
Let h(r) be the third derivative of -r**7/42 + 19*r**6/24 - 33*r**5/4 + 315*r**4/8 - 90*r**3 + 473*r**2. Let h(x) = 0. Calculate x.
1, 3, 12
Let u(c) be the second derivative of -1/4*c**4 - 11*c + 0 + 0*c**2 - 3/80*c**5 - 1/2*c**3. Let u(w) = 0. What is w?
-2, 0
Let h(y) be the second derivative of y**5/140 