*a + 0 = 32. Suppose 0 = -9*x + a*x. Find n, given that x*n + 0 + 2*n**2 - 1/2*n**3 = 0.
0, 4
Factor 3/7*d**3 - 24/7 + 6*d - 3*d**2.
3*(d - 4)*(d - 2)*(d - 1)/7
Let n(b) be the first derivative of b**4/4 - 2*b**3 - 7*b**2/2 + 2*b + 5. Let t be n(7). Factor 3*k**3 + 3*k - 2*k - 6*k**t + 3*k**2 - k**4 + 0*k**3.
-k*(k - 1)**3
Let o = -57 + 60. Suppose -13*w - o = -3. Find y such that 0 + 0*y + w*y**2 - 1/5*y**3 - 1/5*y**4 = 0.
-1, 0
Suppose 3*n = 3*n + 8*n. Let a(b) be the second derivative of -1/12*b**4 + 2*b - 1/30*b**6 + n*b**3 + 0 - 1/10*b**5 + 0*b**2. Factor a(c).
-c**2*(c + 1)**2
Suppose 24*s - 174 + 126 = 0. Let d(w) be the first derivative of 9 + 1/3*w**s + 2/45*w**3 + 8/15*w. Let d(i) = 0. Calculate i.
-4, -1
Let l(j) be the third derivative of 9*j**6/10 + 107*j**5/20 - 5*j**4/8 - 3*j**3 + 66*j**2. Find d, given that l(d) = 0.
-3, -2/9, 1/4
Let k(l) = -l**3 - 4*l**2 + 37*l + 42. Let u be k(-8). Factor 0 - 15/2*d**u - 5/2*d**3 - 5*d.
-5*d*(d + 1)*(d + 2)/2
Let r(q) = -2*q**3 + 0 - 11*q + 5*q**2 + 1 + q**3. Let x(c) = 4 - 3 + 2*c - c. Let m(h) = -r(h) - 3*x(h). What is s in m(s) = 0?
1, 2
Let x(v) be the first derivative of -16 - 4/9*v**3 + 0*v + 2/3*v**2. Let x(f) = 0. Calculate f.
0, 1
Let u(z) be the third derivative of z**6/40 - 9*z**5/20 - 21*z**4/8 - 11*z**3/2 - 4*z**2 - 40. Let u(m) = 0. Calculate m.
-1, 11
Let b(d) = -4*d**3 + 2*d**2 - 2*d. Let j be b(1). Let w be 102/40 - (j - 152/(-32)). Factor 1/5*a**3 + 27/5*a - w*a**2 - 27/5.
(a - 3)**3/5
Let l be 14/(-6)*(484/(-77) + 6). Factor 10/9*w - l - 2/9*w**3 - 2/9*w**2.
-2*(w - 1)**2*(w + 3)/9
Let o(b) be the third derivative of b**5/20 - 5*b**4/4 - 11*b**3/2 - 90*b**2 + 2. Factor o(y).
3*(y - 11)*(y + 1)
Let x be (1125/60)/(-25)*-2*1. Find q such that 0 - 3*q**4 + 0*q**3 + 3/2*q**5 + 3*q**2 - x*q = 0.
-1, 0, 1
Let m(p) be the third derivative of p**6/360 - p**5/30 + 11*p**4/72 - p**3/3 - p**2 - 108*p. Solve m(x) = 0.
1, 2, 3
Let d(v) be the third derivative of -v**8/336 + v**6/60 - v**4/24 + 20*v**2 - 13*v. Find c, given that d(c) = 0.
-1, 0, 1
Let j be ((-3)/4)/(21/(-112)). Find t, given that -1/2 - 51/4*t**2 - 19/4*t + 20*t**j - 2*t**3 = 0.
-2/5, -1/4, 1
Let h = 12 + -3. Factor 3*u**2 - 54*u - h + 42*u - 6*u**2.
-3*(u + 1)*(u + 3)
Let n(m) be the first derivative of -m**6/60 + 3*m**5/10 - 9*m**4/4 + 9*m**3 - 3*m**2/2 - 9. Let p(b) be the second derivative of n(b). Factor p(v).
-2*(v - 3)**3
Factor 67*f**2 - 12*f**2 - 21*f**2 - 19*f**2 - 20*f**3 + 5*f**4.
5*f**2*(f - 3)*(f - 1)
Solve -5/2 + 21/4*c - 3*c**2 + 1/4*c**3 = 0.
1, 10
Let w(t) be the first derivative of 4/11*t - 2/11*t**3 - 1/11*t**2 + 2/55*t**5 - 10 + 1/22*t**4. Let w(u) = 0. What is u?
-2, -1, 1
Let w(h) be the second derivative of -h**8/6720 + h**7/1120 - h**6/480 + h**5/480 + 8*h**3/3 + 25*h. Let q(d) be the second derivative of w(d). Solve q(c) = 0.
0, 1
Let b(j) = -4*j**2 + 8*j + 14. Let d(p) = 0 - 15 + 5*p**2 - 2*p + p - 7*p. Let o(l) = -7*b(l) - 6*d(l). Find h, given that o(h) = 0.
-2
Let k = 85 - 81. Factor 25*f**2 - 4 - 3 + k + 24*f - 70*f**2.
-3*(3*f - 1)*(5*f - 1)
Let x(s) be the second derivative of -s**4/42 - 5*s**3/3 - 34*s**2/7 - 9*s - 31. Factor x(l).
-2*(l + 1)*(l + 34)/7
Determine c, given that 6/5*c**4 + 4/5*c**2 + 18/5*c - 2 - 4*c**3 + 2/5*c**5 = 0.
-5, -1, 1
Let d(a) be the third derivative of a**6/280 + 4*a**5/35 - 5*a**4/8 + 9*a**3/7 + 464*a**2. Factor d(j).
3*(j - 1)**2*(j + 18)/7
Let f(g) be the first derivative of -4*g**5 - 36*g**4 - 188*g**3/3 + 144*g**2 + 64*g + 362. Suppose f(k) = 0. What is k?
-4, -1/5, 1
Let o(v) = 2*v**3 + 68*v**2 + 74*v + 4. Let a(d) = d**3 - d**2 + 1. Let w(q) = 4*a(q) - o(q). Factor w(t).
2*t*(t - 37)*(t + 1)
Let c be 54/14 + (-19)/(-133). Suppose -20 + 80*o + 32*o**5 + 40 + 28*o**c - 28 + 338*o**3 - 204*o**4 - 266*o**2 = 0. Calculate o.
1/4, 1, 2
Let s(x) be the third derivative of 7*x**5/180 + 5*x**4/18 - x**3/6 - 90*x**2. Find r, given that s(r) = 0.
-3, 1/7
Let v(t) be the second derivative of 0 + 0*t**4 - 2/7*t**2 - 1/70*t**5 - 11*t + 1/7*t**3. Solve v(u) = 0.
-2, 1
Let v = 208 + -415/2. Let b(l) be the first derivative of 0*l**3 + 0*l - 3 - v*l**2 + 1/4*l**4. Suppose b(u) = 0. What is u?
-1, 0, 1
Let l(y) = -5*y**3 - 709*y**2 - 33135*y - 519103. Let c(j) = -15*j**3 - 2126*j**2 - 99405*j - 1557312. Let i(g) = 4*c(g) - 11*l(g). Solve i(o) = 0.
-47
Let m(l) = -l**2 - 8*l - 10. Let p = -4 - 2. Let t be m(p). Let 33/4*k - 3/2 + 39/2*k**3 - 21/2*k**4 - 18*k**t + 9/4*k**5 = 0. Calculate k.
2/3, 1
Let h(u) = u**3 - u + 1. Let g(v) = -6*v**3 + 6*v - 7. Let j(o) = -9*o - 4. Let c be j(-1). Let i(k) = c*g(k) + 35*h(k). Factor i(f).
5*f*(f - 1)*(f + 1)
Let x(p) be the third derivative of p**8/672 - p**7/105 + p**6/120 + p**5/30 - p**4/16 + 111*p**2. Determine t, given that x(t) = 0.
-1, 0, 1, 3
Suppose -7*t = -0 - 21. Solve -16*u**t + 10*u**4 - 3*u**5 + 0*u**5 + 5*u**4 - 6*u + 21*u**2 - 11*u**3 = 0.
0, 1, 2
Let d(x) = 5*x**3 - 52*x**2 - 55*x - 2. Let c(q) = -10*q**3 + 105*q**2 + 110*q + 5. Let i(m) = 2*c(m) + 5*d(m). Determine v, given that i(v) = 0.
-1, 0, 11
Let h(f) = -5*f**2 - 4*f. Suppose 0 = -0*r + 2*r - 6. Let s(l) be the second derivative of -l**4/3 - l**3/2 + 10*l. Let d(u) = r*h(u) - 4*s(u). Factor d(a).
a**2
Let s be (4 + (-66)/12)*(-8)/6. Determine u so that 25 - s*u - u**2 - 18*u - 4*u**2 = 0.
-5, 1
Let b(s) be the first derivative of 14*s**3/9 - 131*s**2/3 - 76*s/3 - 119. Factor b(z).
2*(z - 19)*(7*z + 2)/3
Let o(k) be the second derivative of k**5/20 - 19*k**4/12 + 33*k**3/2 - 81*k**2/2 + 111*k. Find r such that o(r) = 0.
1, 9
Suppose -3*q - 4 = -2*q. Let v be (-70)/(-72) - q/(-18). Solve v*c - 3/2*c**2 - 3/4*c**3 + 3/2 = 0 for c.
-2, -1, 1
Let z = -36 + 10. Let v = -24 - z. Factor -10*l**3 + l**2 + 5*l**4 + 4*l**v + 3*l**2 - 3*l**2.
5*l**2*(l - 1)**2
Let u(l) be the third derivative of -l**6/1020 + l**5/85 + 5*l**4/68 - 100*l**3/51 + 268*l**2. What is m in u(m) = 0?
-4, 5
Let v = 74/69 - -6/23. Let d be (-385)/(-245) + 6/14. Solve d*q**3 + 4/3 + v*q**2 - 14/3*q = 0 for q.
-2, 1/3, 1
Let b be (-1)/21 - (-1 - 6/(-9)). Suppose -10*f = 13*f - 46. Find y such that 2/7*y - 4/7 - b*y**3 + 4/7*y**f = 0.
-1, 1, 2
Suppose 17*r - 5*r + 2*r = 28. Factor -9*q + 0 + 9*q**r - 3*q**3 + 1/3*q**4.
q*(q - 3)**3/3
Factor -79*y + 58*y**2 - 10*y + 2*y**4 + 24 - 23*y**3 - 11*y + 3*y**3 + 36*y.
2*(y - 6)*(y - 2)*(y - 1)**2
Find t such that 3*t**3 - 58*t**2 + 28*t**2 - 4*t + t**4 + 30*t**2 = 0.
-2, 0, 1
Let c = 2212 - 2210. Find z, given that -8*z**3 - c*z**2 - 14/3*z**4 + 4/3*z + 0 = 0.
-1, 0, 2/7
Let n(g) be the second derivative of -8*g - 1/5*g**2 - 1/30*g**4 + 2/15*g**3 + 0. Factor n(f).
-2*(f - 1)**2/5
Let n(p) be the first derivative of p**5/15 - 5*p**4/6 + 13*p**3/9 + 10*p**2 + 12*p - 11. Suppose n(i) = 0. Calculate i.
-1, 6
Let r(g) be the first derivative of -10 + 8/21*g**3 - 1/7*g**4 + 0*g**2 + 0*g. Factor r(w).
-4*w**2*(w - 2)/7
Let v be -5 + 2 - (0 + -6). Let p be (-3)/(3 + 3768/(-1252)). What is o in -4*o**v - 313*o + 4*o**5 + p*o = 0?
-1, 0, 1
Let o(h) = 5*h**2 + 4*h - 24. Let a be o(4). Let b be (-54)/a*20/(-6). Solve -5*k + 5/2*k**3 - b*k**2 + 0 = 0 for k.
-1, 0, 2
Let r(t) be the third derivative of -1/420*t**5 + 39*t**2 + 0 + 0*t**3 + 0*t + 1/42*t**4. Factor r(l).
-l*(l - 4)/7
Let y(l) be the third derivative of 1/350*l**7 + 0*l**3 + 1/600*l**6 - 1/100*l**5 + 0*l + 0 + 23*l**2 - 1/60*l**4 + 1/1680*l**8. Let y(q) = 0. Calculate q.
-2, -1, 0, 1
Let j = 10/113 + 196/339. Factor -8/3*c - j - 2*c**2.
-2*(c + 1)*(3*c + 1)/3
Let n(x) be the third derivative of x**9/20160 + x**8/8960 + x**4/6 - 20*x**2. Let l(a) be the second derivative of n(a). Suppose l(t) = 0. What is t?
-1, 0
Let c(g) = 60*g**2 - 658*g + 146. Let d(n) = -24*n**2 + 263*n - 59. Let w(m) = 5*c(m) + 12*d(m). Solve w(i) = 0 for i.
1/6, 11
Suppose -5*j = -2*v - 628, 0 = -j + 5*v - v + 122. Let p be (-1)/((-7)/(j/8)). Factor -3/2*b - p - 1/4*b**2.
-(b + 3)**2/4
Let x be (23 - (4 - -23)) + (13/3 - -1). Solve 0*b + 0 - x*b**2 - 2/3*b**3 = 0.
-2, 0
Suppose 9 = 7*r - 5. Find b, given that 17*b**r - 4*b**2 - 4*b**3 - 5*b**2 = 0.
0, 2
Suppose -4*g + 5 + 3 = 0. Let -2 + 7*v + 2 - g*v + 5*v**2 = 0. What is v?
-1, 0
Let s = 3 - -7. Suppose 8*x = 3*x + s. Factor 4*a + 0*a + 2*a**2 - x*a.
2*a*(a + 1)
Let q(k) be the s