2/5, 12
Determine a so that -10/3*a**2 - 35/2*a**4 + 0 - 25/6*a**5 - 20*a**3 + 0*a = 0.
-2, -1/5, 0
Suppose -2*l - 3*q + 13 = 0, 2*l + 5*q - 25 = -3*l. Suppose -u = -5 + l. Factor 3*c + 84*c**3 + 57*c**4 - 6 + 57*c**2 + 12*c**5 + 0 + 9*c**u.
3*(c + 1)**3*(c + 2)*(4*c - 1)
Suppose 120*r + 60 - 801 = -127*r. Factor 6*v**2 - 3/2*v**r - 9/2*v + 0.
-3*v*(v - 3)*(v - 1)/2
Let d(h) = -h**3 - 2*h**2 - 3*h + 6. Let i be d(0). Suppose -2*k = i*p - p - 21, -2*k - 2*p = -12. Suppose 2/3*z - 1/3*z**2 - 1/3*z**k + 0 = 0. What is z?
-2, 0, 1
Let b(p) = p - 18. Let u be b(21). Let -2*w - 4*w**2 - 12*w**3 + 10*w**u + 8*w = 0. What is w?
-3, 0, 1
Factor 607 - 270 - 144*m - 33 - 2*m**2 - 2*m**2.
-4*(m - 2)*(m + 38)
Let q(i) be the first derivative of 2*i**6 - 28*i**5/5 - 81*i**4 - 452*i**3/3 - 84*i**2 - 24. Suppose q(y) = 0. Calculate y.
-3, -1, -2/3, 0, 7
Factor -2/3*v**2 - 10/3 - 4*v.
-2*(v + 1)*(v + 5)/3
Let n(b) be the third derivative of -b**6/120 + b**5/40 - 4*b**3/3 + 7*b**2. Let r(j) be the first derivative of n(j). What is z in r(z) = 0?
0, 1
Let f(h) be the first derivative of 0*h - 5/4*h**4 - 11 + 10/3*h**3 + 0*h**2. Factor f(z).
-5*z**2*(z - 2)
Let u(b) be the first derivative of b**4/2 + 10*b**3/3 - 44*b**2 + 120*b + 603. Factor u(c).
2*(c - 3)*(c - 2)*(c + 10)
Let g(i) = 10*i**2 + 60*i - 536. Let f(l) = -2*l**2 - 12*l + 107. Let k(a) = -28*f(a) - 6*g(a). Determine y so that k(y) = 0.
-11, 5
Let b(u) be the second derivative of 21*u**5/20 + 5*u**4/4 - 8*u**3 + 6*u**2 - 5*u + 2. Let b(s) = 0. What is s?
-2, 2/7, 1
Let n(i) be the second derivative of -1/50*i**6 + 3/25*i**5 + 0 + 11*i + 0*i**2 - 3/20*i**4 + 0*i**3. Suppose n(q) = 0. What is q?
0, 1, 3
Let o(q) be the second derivative of -q**5/210 - q**4/84 + 2*q**3/21 + 2*q**2 - 10*q. Let g(b) be the first derivative of o(b). Factor g(h).
-2*(h - 1)*(h + 2)/7
Let i(a) be the second derivative of a**8/13440 + a**7/420 + a**6/30 + 4*a**5/15 - 2*a**4/3 + 10*a. Let x(y) be the third derivative of i(y). Solve x(q) = 0.
-4
Let x(s) be the third derivative of 0*s + 1/12*s**4 + 1/30*s**5 - 13*s**2 + 0 - 2/3*s**3. What is a in x(a) = 0?
-2, 1
Let b be (-20)/(-18)*(-2844)/(-790). What is p in 1/9*p**5 - 1/9*p**2 - 1/3*p**b + 0*p + 0 + 1/3*p**3 = 0?
0, 1
Let u(s) be the second derivative of -s**7/2520 - s**6/360 + s**4/4 - 8*s. Let t(z) be the third derivative of u(z). Factor t(l).
-l*(l + 2)
Let m(q) = 2*q**2 + 15*q - 75. Let l be m(-11). Let n(h) be the third derivative of -3*h**l + 0*h**3 + 0*h + 0 + 0*h**4 + 1/210*h**5. Solve n(a) = 0 for a.
0
Let 95*a + 722/3 + 1/3*a**3 - 12*a**2 = 0. What is a?
-2, 19
Let d = -3 - -5. Suppose 0*f - 27 = -3*f - 4*w, 0 = 4*f - 3*w - 11. Factor -a**4 - 4*a**3 - 3*a**3 + 6*a**3 + a**f + a**d.
a**2*(a - 1)**2*(a + 1)
Let m be -5 - (5 + (-204)/18). Factor -m*b + 1/3*b**2 + 4/3.
(b - 2)**2/3
Let t(f) = 2*f**2 + 16*f + 30. Let z(m) be the second derivative of -m**2/2 - 11*m. Let x(b) = t(b) - 2*z(b). Factor x(r).
2*(r + 4)**2
Let a be 224/36 - 2/9. Factor -o**2 + 0*o**2 + a*o**2 + 10 + 15*o.
5*(o + 1)*(o + 2)
Let x(k) be the first derivative of -4*k**5/15 - 5*k**4/3 + 4*k**3/9 + 10*k**2/3 - 769. Factor x(t).
-4*t*(t - 1)*(t + 1)*(t + 5)/3
Suppose 4*y = 4*l, 0*y = -5*l - y + 30. Let c(g) be the second derivative of 0 - 1/12*g**4 + 1/2*g**3 + 0*g**2 + l*g. Factor c(z).
-z*(z - 3)
Factor 4*b**3 + 168/11*b**2 + 2/11*b**5 - 24/11*b**4 + 98/11*b + 0.
2*b*(b - 7)**2*(b + 1)**2/11
Let c be -4 + 368/60 + -20 + 18. Factor -c*t**3 + 0*t + 0 - 4/15*t**2.
-2*t**2*(t + 2)/15
Let q(p) be the first derivative of -23*p**4/2 - 88*p**3/3 + 4*p**2 - 412. Factor q(r).
-2*r*(r + 2)*(23*r - 2)
Let t(c) be the first derivative of c**3/6 + 5*c**2/2 - 11*c/2 - 106. Let t(x) = 0. What is x?
-11, 1
Suppose 2*y = -4*y - 84. Let g = -14 - y. Solve 1/4*l**2 - 1/2*l + g = 0.
0, 2
Let u(t) be the third derivative of -t**6/40 - t**5/2 - 27*t**4/8 - 9*t**3 - 102*t**2. Factor u(j).
-3*(j + 1)*(j + 3)*(j + 6)
Let o(u) = 12*u**4 + 35*u**3 - u**2 - 24*u + 11. Let j(w) = -4*w**4 - 12*w**3 + 8*w - 4. Let a(z) = 11*j(z) + 4*o(z). Let a(s) = 0. What is s?
-2, -1, 0, 1
Suppose -268*v + 2 = -267*v. What is p in -3/2*p - 3/4*p**v - 3/4 = 0?
-1
Factor 35912/7*o - 536/7*o**2 + 2/7*o**3 + 0.
2*o*(o - 134)**2/7
Let g be 65/30 + 1/(-6). Let s = g + 0. Suppose 3*a**2 - 4*a**4 + 3*a**3 - a**5 + a**4 - s*a**5 = 0. Calculate a.
-1, 0, 1
Suppose 8*m - 132 = -14*m. Let z(j) be the first derivative of -1/3*j**2 + 0*j + 0*j**3 + 1/6*j**4 - m. Find h such that z(h) = 0.
-1, 0, 1
Factor 0 + 2/3*x**3 + 50/3*x**2 + 0*x.
2*x**2*(x + 25)/3
Suppose -24 + 0 = -2*m - 4*q, 3*m - q = 8. Suppose -5*p - 4*a = -26, m*p + 3*a - 11 = 10. Factor 3*f + 6*f**2 - p - 4*f**3 + f**3 + f - f.
-3*(f - 2)*(f - 1)*(f + 1)
Let v(p) be the first derivative of 0*p**3 - 9 + 0*p - 2/5*p**5 + 0*p**4 + 1/3*p**6 + 0*p**2. Factor v(s).
2*s**4*(s - 1)
Let s(f) be the second derivative of -f**6/90 + 13*f**5/60 + 7*f**4/4 + 83*f**3/18 + 17*f**2/3 + 240*f. Factor s(y).
-(y - 17)*(y + 1)**2*(y + 2)/3
Suppose 4*v + v = 10. Let b(i) be the first derivative of -5 + 1/5*i**v + 1/15*i**3 + 1/5*i. Suppose b(y) = 0. Calculate y.
-1
Let o(d) be the third derivative of -d**8/16128 - d**7/2016 - d**5/10 + 17*d**2. Let y(m) be the third derivative of o(m). Factor y(a).
-5*a*(a + 2)/4
Let y(m) be the second derivative of -m**6/75 + 9*m**5/50 + m**4/3 - m + 18. Suppose y(d) = 0. Calculate d.
-1, 0, 10
Let p be (5/(-2))/((-2)/4). Let m(t) = t**3 - 6*t**2 + 5*t + 5. Let d be m(p). Factor d*l**3 + 3*l - 4*l**3 - l**3 + 3*l**3 + 6*l**2.
3*l*(l + 1)**2
Let x(y) = 8*y**2 + 26*y + 56. Let a(d) = -12*d + 0*d**2 - 55 - 13*d - 7*d**2. Let r(j) = 6*a(j) + 5*x(j). Solve r(t) = 0.
-5
Let d(g) be the first derivative of g**7/7140 + g**6/1530 + g**5/1020 - 8*g**3/3 - 9. Let w(q) be the third derivative of d(q). Let w(i) = 0. What is i?
-1, 0
Suppose 3*d - 2*s - 4 = 0, -3*s + s = -2*d + 2. Find l such that -7*l**2 - 2 - 5*l**2 - d - 10*l**3 + 14*l**3 + 12*l = 0.
1
Let c be -2 + (6 - (-1868)/12). Let m = c - 159. Factor -1 + m*v + 1/3*v**2.
(v - 1)*(v + 3)/3
Suppose -251*x = 18 - 18. Suppose -4/11*b + 2/11*b**3 + x - 2/11*b**2 = 0. What is b?
-1, 0, 2
Let a(w) be the first derivative of -4*w**3/3 - 8*w**2 + 180*w + 80. Let a(o) = 0. What is o?
-9, 5
Let f be (-8)/(-10)*30/(-4). Let y be (-4)/(-2)*f/(-4). Suppose 33*z**3 + 0*z - 3*z**2 - 3*z - 34*z**y - 1 = 0. Calculate z.
-1
Suppose -3*b + 40 = 2*d - 0*b, -3*d - 3*b + 54 = 0. Let y = 29 - d. Factor -6*p**2 - 3 + 14 - 11*p - 49*p + 13 + y*p**3.
3*(p - 2)*(p + 2)*(5*p - 2)
Let b = 773 + -770. Solve -2/7*c**2 + 0*c + 0 + 2/7*c**b + 2/7*c**4 - 2/7*c**5 = 0.
-1, 0, 1
Let q(y) be the second derivative of -1/9*y**4 + 0*y**2 + 1/135*y**6 + 7*y + 1/90*y**5 + 0*y**3 + 0. Solve q(h) = 0 for h.
-3, 0, 2
Let j(i) be the first derivative of -4*i**3/15 + 4*i/5 - 87. Factor j(x).
-4*(x - 1)*(x + 1)/5
Let a(v) be the third derivative of v**6/120 - 9*v**5/80 + 17*v**4/96 + v**3/4 - v**2 - 23. Determine o so that a(o) = 0.
-1/4, 1, 6
Let j(u) be the second derivative of 0 + 2/27*u**3 + 1/9*u**2 - 8*u - 4/27*u**4. Suppose j(s) = 0. What is s?
-1/4, 1/2
Let y(o) = o - 95. Let w be y(0). Let j be (-4)/(-10) - 342/w. Factor 2 + 0 - q**4 - q**4 + j*q**3 - 4*q.
-2*(q - 1)**3*(q + 1)
Let b(t) be the third derivative of t**6/24 - 4*t**5/3 - 95*t**4/24 + 85*t**3/3 + 320*t**2 + 2*t. Find f, given that b(f) = 0.
-2, 1, 17
Let u(k) be the third derivative of -k**5/12 + 155*k**4/24 + 85*k**3 + 3*k**2 + 30*k. Suppose u(l) = 0. What is l?
-3, 34
Let o(d) = d**2 - 15*d + 28. Let x be o(10). Let s = 200/9 + x. Suppose 0 - s*i**2 + 2/9*i = 0. What is i?
0, 1
Let h(w) be the first derivative of -w**5/40 + 3*w**4/4 - 9*w**3 + 7*w**2 - 19. Let t(c) be the second derivative of h(c). Factor t(z).
-3*(z - 6)**2/2
Let p = 5 + -10. Let m be (-8)/(-5) - 2/p. Solve -6*v - 3*v**2 + 3 + 5*v**2 - 2 + 3*v**m = 0 for v.
1/5, 1
Let -54 + 36*p + 11*p**2 - 2*p**4 - 4*p**3 - p**2 + 7*p**2 + 7*p**2 = 0. Calculate p.
-3, 1, 3
Suppose 0 = 5*c - 15, 2*c + 18 = 5*o - 1. Factor -319 + o*z**2 + 319 - 5*z.
5*z*(z - 1)
Let l(h) be the first derivative of 3*h**5/25 - 249*h**4/20 + 1763*h**3/5 - 5043*h**2/10 + 242. Find t such that l(t) = 0.
0, 1, 41
Let j(h) be the third derivative of -h**8/336 + h**7/42 + 7*h**6/30