0.
-2, 0, 1
Let z(j) be the first derivative of 11*j**3/2 + j**2/2 - 36. What is u in z(u) = 0?
-2/33, 0
Solve -20/3*p - 2/3*p**2 - 50/3 = 0.
-5
Solve 0 - 5/6*c**2 + 5/6*c = 0 for c.
0, 1
Let z(q) be the third derivative of -q**10/75600 + q**9/60480 + q**8/4032 + q**7/2520 - q**5/60 + 4*q**2. Let s(p) be the third derivative of z(p). Factor s(a).
-a*(a - 2)*(a + 1)*(2*a + 1)
Let o(l) be the second derivative of 7*l**6/10 - 12*l**5/5 + 11*l**4/4 - l**3 - 9*l. Suppose o(r) = 0. Calculate r.
0, 2/7, 1
Let h(o) be the second derivative of o**4/8 + 3*o**3 + 27*o**2 + 2*o. Factor h(d).
3*(d + 6)**2/2
Suppose 5*n - 3 = 2. Let p = n - -1. What is i in 2*i**p + 0*i**3 + 2*i**4 + 2*i**3 + 2*i**3 = 0?
-1, 0
Let t be (-80)/(-14) - (-2)/7. Let y(q) be the second derivative of -1/30*q**t + 0*q**2 + 1/12*q**4 + 0 + 1/18*q**3 - 1/60*q**5 - 2*q. What is o in y(o) = 0?
-1, -1/3, 0, 1
Let x(g) = 33*g**3 + 152*g**2 + 38*g + 2. Let r(t) = 32*t**3 + 153*t**2 + 37*t + 3. Let w(b) = -2*r(b) + 3*x(b). Let w(f) = 0. What is f?
-4, -2/7, 0
Suppose 3*c = 10 + 5. Factor 2*z + 0*z - z**4 + z**2 - 3*z**3 - 31*z**c + 32*z**5.
z*(z - 2)*(z - 1)*(z + 1)**2
Let n(r) be the second derivative of -r**8/168 - 2*r**7/105 - r**6/60 - r**2/2 + 3*r. Let v(w) be the first derivative of n(w). Solve v(d) = 0.
-1, 0
Suppose -5*t = -2*j - 12 - 15, j + 4*t = 19. Let c be j/5 + 32/60. Factor 0 + c*b**2 + 0*b + 1/3*b**3.
b**2*(b + 1)/3
Find t such that -2*t - 21*t**2 + 22*t**2 + 3*t - 4*t + 2 = 0.
1, 2
Let f be 3*1*2*-1. Let x(k) = -9*k**4 - 3*k**3 - k**2 - 7*k. Let u(s) = 4*s**4 + s**3 + 3*s. Let b = -116 + 101. Let p(o) = b*u(o) + f*x(o). Factor p(n).
-3*n*(n - 1)*(n + 1)*(2*n - 1)
Let k(w) be the third derivative of -w**5/480 + w**4/96 - w**3/48 + 4*w**2. Factor k(z).
-(z - 1)**2/8
Let -1/5*i**2 - 2/5*i + 3/5 = 0. Calculate i.
-3, 1
Let h = 275/238 + 19/34. Factor -h*q - 18/7 - 2/7*q**2.
-2*(q + 3)**2/7
Suppose 3 = 3*m, 4*f - 2*m - 3 + 9 = 0. Let n be 0/(-2) - 0/f. Factor -2/7*c**4 + n*c + 0*c**3 + 2/7*c**2 + 0.
-2*c**2*(c - 1)*(c + 1)/7
Suppose -8 - 2 = 2*v, 2*s + 3*v = -5. Determine c, given that -4*c**5 - 2*c**3 + 6*c**s - 3*c**4 + 5*c**4 - 2*c**2 = 0.
-1, 0, 1
Let g = -4778/27 - -177. Let h(t) be the third derivative of 0*t - 1/36*t**4 - 1/540*t**6 + t**2 + g*t**3 + 0 + 1/90*t**5. Factor h(v).
-2*(v - 1)**3/9
Suppose -5*i + 0*l - 2*l = -9, 0 = -5*l - 15. Factor -1/4*x + 0 + 0*x**2 + 1/4*x**i.
x*(x - 1)*(x + 1)/4
Let h(s) be the third derivative of -s**5/240 - s**4/48 - s**3/24 - 8*s**2. Factor h(u).
-(u + 1)**2/4
Let y(c) be the second derivative of -c**4/42 + c**3/7 - 2*c**2/7 + 10*c. Factor y(n).
-2*(n - 2)*(n - 1)/7
Let s be (-474)/(-30) - 1/(-5). Let t be 33/44*s/27. Suppose -t*n**3 + 0*n - 2/9*n**2 + 0 - 2/9*n**4 = 0. What is n?
-1, 0
Let m = -1459/5 + 292. Determine j, given that 0 + 1/5*j - m*j**2 = 0.
0, 1
Let d(m) be the first derivative of 0*m**2 - 1/20*m**4 + 0*m - 1/15*m**3 - 3. Factor d(c).
-c**2*(c + 1)/5
Let q be -1*(-1 - (2 - 1)). Suppose 2*y + 1 + 5 = -q*o, -o = 5. Factor 2*p - 3*p**y + p**3 - 7*p**3 - p**2.
-2*p*(p + 1)*(3*p - 1)
Let m(p) be the second derivative of p**4/36 + p**3/6 - 2*p**2/3 + 4*p. Suppose m(q) = 0. What is q?
-4, 1
Let x(j) = -64*j**3 + 229*j**2 + 129*j + 16. Let q(g) = -32*g**3 + 115*g**2 + 65*g + 8. Let s(n) = -5*q(n) + 3*x(n). Factor s(o).
-2*(o - 4)*(4*o + 1)**2
Let y = -40 - -42. Let w(h) be the third derivative of 0 + 0*h - 3*h**y - 1/3*h**3 - 1/30*h**5 + 1/6*h**4. Let w(j) = 0. What is j?
1
Let d(q) be the third derivative of q**6/90 + q**5/45 - 25*q**2. Factor d(b).
4*b**2*(b + 1)/3
Let h(u) be the second derivative of -u**7/11340 + u**6/1620 - 5*u**4/12 + u. Let v(i) be the third derivative of h(i). Factor v(t).
-2*t*(t - 2)/9
Let o(h) be the third derivative of -h**7/840 + h**5/80 + h**4/48 + h**2. Factor o(p).
-p*(p - 2)*(p + 1)**2/4
Let k(p) be the third derivative of p**10/302400 + p**9/241920 - p**8/80640 + p**5/12 + 4*p**2. Let d(u) be the third derivative of k(u). Factor d(j).
j**2*(j + 1)*(2*j - 1)/4
Let p(h) be the third derivative of 0*h - 1/18*h**3 - 1/144*h**4 + 0 + 1/720*h**6 + 1/180*h**5 + h**2. Find s such that p(s) = 0.
-2, -1, 1
Let t = 19975 - 99489/5. Let f = -77 + t. What is u in 3/5*u**2 + f - 1/5*u**3 - 3/5*u = 0?
1
Let j(n) be the second derivative of 2/33*n**3 + 0 + 4*n - 1/11*n**2 - 1/66*n**4. Factor j(t).
-2*(t - 1)**2/11
Let r(v) be the second derivative of -v**8/16800 + v**7/6300 + v**6/1800 - v**5/300 - v**4/6 - 2*v. Let u(p) be the third derivative of r(p). Solve u(z) = 0.
-1, 1
Suppose -11*a - 16 = -15*a. Determine m, given that 0 + 0*m**3 + 2/9*m**2 - 2/9*m**a + 0*m = 0.
-1, 0, 1
Factor 79 - 40 + 4*p**2 - 47 - 4*p.
4*(p - 2)*(p + 1)
Let q(f) be the second derivative of f**4/48 - f**3/12 + f**2/8 + 5*f. Factor q(j).
(j - 1)**2/4
Suppose -u + 4*m - 23 = 0, 4*m + 5 - 42 = 3*u. Let w = u + 11. Factor 1/2 + 0*x**2 + x - x**3 - 1/2*x**w.
-(x - 1)*(x + 1)**3/2
Let y be 2*-2*1/(-8) - 0. Determine i so that -3/2*i**3 - 1/2*i**4 + 0 - 3/2*i**2 - y*i = 0.
-1, 0
Let g(l) be the first derivative of l**5/150 - l**4/30 + 5*l**2/2 - 5. Let h(x) be the second derivative of g(x). Factor h(o).
2*o*(o - 2)/5
Let a(q) be the second derivative of -q**7/840 + q**6/240 + q**5/20 + 7*q**4/12 + 7*q. Let p(z) be the third derivative of a(z). Factor p(o).
-3*(o - 2)*(o + 1)
Factor 8*p**4 - 45*p**2 + 6*p**3 - 3 + 7*p**4 + 12 + 12*p + 3.
3*(p - 1)**2*(p + 2)*(5*p + 2)
Let j(b) be the third derivative of b**5/40 - 5*b**4/16 + b**3 + 20*b**2. Factor j(p).
3*(p - 4)*(p - 1)/2
Let s(y) be the second derivative of -y**7/21 + 11*y**6/60 - y**5/40 - 13*y**4/24 + 5*y**3/12 + y**2/2 - 6*y. Determine h so that s(h) = 0.
-1, -1/4, 1, 2
Let y be 18/(-54) + 2/6. Let z(d) be the first derivative of 27/4*d**4 + 12/5*d**5 + y*d**2 - 2 + 0*d + 2*d**3. Find f such that z(f) = 0.
-2, -1/4, 0
Factor 1/8*g + 1/4*g**4 - 1/4*g**2 - 1/8*g**5 + 0*g**3 + 0.
-g*(g - 1)**3*(g + 1)/8
Let j(k) be the first derivative of 0*k + 3/8*k**4 + 1/18*k**6 - 4 + 1/12*k**2 - 7/30*k**5 - 5/18*k**3. Factor j(d).
d*(d - 1)**3*(2*d - 1)/6
Let h(m) be the first derivative of -2/45*m**5 - 8/9*m - 1/3*m**4 - 2 - 4/3*m**2 - 26/27*m**3. Factor h(g).
-2*(g + 1)**2*(g + 2)**2/9
Suppose 0 = -14*z + 16 + 40. Factor -6*t + z*t**2 + 0 - 2/3*t**3.
-2*t*(t - 3)**2/3
Let j(n) = 3*n**5 - 7*n**4 - 5*n**3 + 5*n**2 - 5*n - 5. Let v(y) = -8*y**5 + 20*y**4 + 14*y**3 - 14*y**2 + 14*y + 14. Let a(i) = -14*j(i) - 5*v(i). Factor a(o).
-2*o**4*(o + 1)
Let r = -10 - -10. Suppose r*s = s. Solve 0*b**4 + s + 1/4*b + 1/4*b**5 + 0*b**2 - 1/2*b**3 = 0.
-1, 0, 1
Factor 2/13*q**3 - 30/13*q**2 + 54/13*q - 2.
2*(q - 13)*(q - 1)**2/13
Suppose 3*h - 10 = -2*h. Suppose -20*s = -7*s. Let s*o**h - 2/9*o**3 + 2/9*o**4 + 0*o + 0 = 0. Calculate o.
0, 1
Let d = -13421/4 - -3336. Let k = -19 - d. Determine y, given that -k*y**2 + 0 + 1/4*y = 0.
0, 1
Let p be (6 - 5) + (-1255)/1620. Let k = p - -2/81. Determine o, given that -o - k + 1/4*o**2 + o**3 = 0.
-1, -1/4, 1
Let c = -12 - -14. Let p(r) be the second derivative of 0*r**c - 1/27*r**4 + 1/27*r**3 + 1/90*r**5 + 0 - r. Find s, given that p(s) = 0.
0, 1
Let t be (-1*1)/((-2)/(-6)). Let g(h) = -2*h - 2. Let q be g(t). Determine y so that -6*y**4 - 15*y**q - 4*y**4 - 4*y**2 + 9*y**3 + 11*y**3 = 0.
0, 2/5
Let k(l) be the third derivative of l**7/2520 + l**6/540 + l**5/360 - l**3 - 4*l**2. Let v(o) be the first derivative of k(o). Factor v(b).
b*(b + 1)**2/3
Suppose 2*n = -5*j - 3, 3*j + 4*n - 2 = j. Let o be j/6*(-9)/6. Factor -1/4*t**4 - o*t**3 + 0 + 1/4*t**2 + 1/4*t.
-t*(t - 1)*(t + 1)**2/4
Let q(t) be the first derivative of -9*t**4 - 28*t**3/3 + 4*t**2 - 4. Factor q(s).
-4*s*(s + 1)*(9*s - 2)
Let h(v) be the first derivative of -2*v**3/51 + 2*v/17 + 15. Solve h(z) = 0.
-1, 1
Suppose -5*n + 3*o - 1 = -12, -3*o + 1 = -2*n. Suppose 4*f + 12 = 0, -2*f - 2*f + 24 = n*l. Suppose 4*j + 1/2 + 8*j**3 + 5/2*j**4 + l*j**2 = 0. What is j?
-1, -1/5
Find p such that 0*p**2 + 0*p**3 + 0*p + 4/7*p**4 + 0 + 2/7*p**5 = 0.
-2, 0
Let s(c) be the third derivative of c**8/112 - c**7/70 - 3*c**6/20 - 22*c**2. Determine y so that s(y) = 0.
-2, 0, 3
Let f(j) be the second derivative of -j**5/30 + 3*j**2/2 - j. Let d(n) be the first derivative of f(n). Factor d(h).
-2*h**2
Let b(f) = -f**4 - 6*f