 r, -2*o - 3*r = 5. Factor 13 + 5*h - 17*h + 19 - 14 + o*h**2.
2*(h - 3)**2
Let q = -5 + 8. Let l = 3 + 1. Factor -l*i**2 + q*i + 3 - 1 - i.
-2*(i - 1)*(2*i + 1)
Let l(p) = -p**2 + 10*p + 8. Let w be l(4). Let x = -156/5 + w. Factor 0 + x*g**4 - 6/5*g**3 - 1/5*g - 1/5*g**5 + 4/5*g**2.
-g*(g - 1)**4/5
Suppose 8*u = 4*u. Determine z, given that 17 - 1 + u + z**2 + 9 - 10*z = 0.
5
Let x(v) be the third derivative of -4*v**7/1155 - v**6/220 + v**5/15 - 5*v**4/44 - 316*v**2. Solve x(t) = 0 for t.
-3, 0, 1, 5/4
Let y(c) be the third derivative of c**5/90 - 19*c**4/6 + 361*c**3 - 78*c**2 - 2*c. Determine b so that y(b) = 0.
57
Let x(w) be the second derivative of -w**4/28 + 79*w**3/14 - 117*w**2/7 - 67*w - 4. Determine j so that x(j) = 0.
1, 78
Let z(t) be the first derivative of t**4 - 16*t**3/3 + 8*t**2 - 334. Factor z(h).
4*h*(h - 2)**2
Let b(t) be the first derivative of t**6/18 + 18*t**5/5 + 56*t**4 - 1568*t**3/9 + 204. Factor b(u).
u**2*(u - 2)*(u + 28)**2/3
Suppose n - 228 = -3*n. Suppose 3*r - 3*o = n, 4*o = 2*r - r - 25. Factor 8*j**4 + 11*j + 7*j**4 - 15*j**2 - r*j + 6*j**3.
3*j*(j - 1)*(j + 1)*(5*j + 2)
Let q be (-11)/(-48) - (-450)/(-7200). Factor -1/4*u**2 + q + 1/12*u.
-(u - 1)*(3*u + 2)/12
Solve 54 - 20 - 34 - 5*c - 5*c**2 = 0.
-1, 0
Let b be -2 + (-15)/10*-2 + 1. Let h(r) be the first derivative of -3/5*r**5 - 3/4*r**4 - 7 + 0*r**b + 0*r + 0*r**3. Let h(f) = 0. What is f?
-1, 0
Suppose 12*l = 6*l + 36. Let f be (1 - 1) + ((-19)/(-3) - l). Let 1/6*c**3 - f - 1/6*c**4 - 1/6*c + 1/2*c**2 = 0. What is c?
-1, 1, 2
Let b(g) be the second derivative of 19/24*g**4 - 17/20*g**5 + 0 - g**2 + 1/4*g**6 - 16*g + 1/3*g**3. Let b(q) = 0. What is q?
-2/5, 2/3, 1
Let j = 11611 + -56769/5. Let d = j + -256. Factor 0*t + 0 + d*t**4 - 3/5*t**3 - 3/5*t**2.
3*t**2*(t - 1)*(2*t + 1)/5
Let y = -1/9529 - -123922/428805. Let p = 19/9 + y. Solve 9/5*z**2 - p + 0*z + 3/5*z**3 = 0.
-2, 1
Suppose -24*i = -17*i - 41*i. Let p(n) be the first derivative of i*n - 9/5*n**5 + 2*n**2 - 11/4*n**4 - 7 + 16/3*n**3. Factor p(h).
-h*(h - 1)*(h + 2)*(9*h + 2)
Let 4/9*q**2 + 14/9*q + 8/9 - 2/9*q**3 = 0. Calculate q.
-1, 4
Let p = 1885/4 + -469. Let l = 11/4 - p. Factor -1/2*d**2 - 1/2*d + l + 1/2*d**3.
(d - 1)**2*(d + 1)/2
Suppose -122*i + 63 = -181. Factor 0*g - 1/3*g**i - 1/3*g**3 + 0.
-g**2*(g + 1)/3
Let l(b) be the first derivative of -b**6/60 + b**5/40 + b - 5. Let j(x) be the first derivative of l(x). Factor j(m).
-m**3*(m - 1)/2
Let s(d) be the third derivative of d**7/35 + 7*d**6/30 + 2*d**5/3 + 2*d**4/3 + 125*d**2. Factor s(m).
2*m*(m + 2)**2*(3*m + 2)
Let z = -93 - -421/4. Let h = -12 + z. Factor h*n - 1/4*n**2 + 0.
-n*(n - 1)/4
Let s(q) = 4*q + 119. Let l be s(-29). Let h = 219/56 - 29/8. Determine f, given that -4/7*f**2 + 0 - 6/7*f + h*f**l = 0.
-1, 0, 3
Let x(n) be the first derivative of -1/2*n**2 - 1/9*n**3 + 22 + 0*n. Factor x(r).
-r*(r + 3)/3
Let m(k) be the first derivative of k**6/360 - k**5/20 + 3*k**4/8 - 8*k**3/3 - 3. Let r(q) be the third derivative of m(q). Factor r(g).
(g - 3)**2
Let q(c) be the third derivative of c**5/270 + 41*c**4/54 + 1681*c**3/27 + 153*c**2. Solve q(m) = 0 for m.
-41
Let x = 24431/5 - 4886. Find k, given that 0*k + 1/5*k**2 + 1/5*k**5 - 1/5*k**3 + 0 - x*k**4 = 0.
-1, 0, 1
Let d(n) be the second derivative of 1/24*n**4 - 1/120*n**6 + 35 + 0*n**3 + 0*n**2 - 1/80*n**5 + n. Suppose d(h) = 0. What is h?
-2, 0, 1
Let k(j) be the first derivative of -j**6/1800 + j**4/30 + 4*j**3/3 - 12. Let m(a) be the third derivative of k(a). Solve m(l) = 0 for l.
-2, 2
Let b(w) = 7*w - 9*w + 9 + 3*w. Let q be b(-6). Find l such that q*l**3 - 7*l**2 + 10*l**2 + 4*l - 19*l + 9 = 0.
-3, 1
Factor 6/7*z**2 + 8/7*z**3 + 12/7 - 50/7*z.
2*(z - 2)*(z + 3)*(4*z - 1)/7
Suppose -1100 + 1122 - 28*d**3 - 68*d + 2*d**4 + 29*d**2 + 43*d**2 = 0. What is d?
1, 11
Let z = -11/9 + 229/180. Let r(j) be the third derivative of -8*j**2 + 1/70*j**7 + 0 + 0*j + z*j**5 + 1/20*j**6 + 0*j**3 + 0*j**4. Factor r(m).
3*m**2*(m + 1)**2
Let m be -7*(-208)/546 - (3 - (0 + 1)). Factor m*h**2 - 2 - 4/3*h.
2*(h - 3)*(h + 1)/3
Let f(r) be the third derivative of 2*r**7/7 - 19*r**6/30 - 2*r**5/3 - 148*r**2 + 1. Find t such that f(t) = 0.
-2/5, 0, 5/3
Let z be 2*6/4 - 10. Let y = z - -9. Find o, given that -4*o - y*o - 24*o**2 + 21*o**3 + 0*o - 6*o + 15*o**4 = 0.
-2, -2/5, 0, 1
Let x = 29747/20 + -5259/4. Let d = -172 + x. Factor -d*s**4 - 3*s + 3/5*s**3 + 9/5*s**2 + 6/5.
-3*(s - 1)**3*(s + 2)/5
Suppose -8*r**3 + 23*r - 14*r**3 - 2*r**2 + 9 + 13*r**4 - r**5 - 20 = 0. Calculate r.
-1, 1, 11
Let a be 24/(-3)*-2 + 0. Suppose 0 = -3*g + 2*l + a, -g + 0 = l - 2. Factor g - 2 + n**2 - 2.
n**2
Let z(k) be the first derivative of k**5/70 + k**4/21 - 23*k - 39. Let r(x) be the first derivative of z(x). Factor r(u).
2*u**2*(u + 2)/7
Let c(y) be the second derivative of 5/42*y**7 + 0*y**4 + 0*y**2 + 1/4*y**5 + 0*y**3 + 0 - 1/3*y**6 + 5*y. Solve c(x) = 0 for x.
0, 1
Suppose 8 = -2*x - 4*q, -2*x - 4*q = 2*x + 4. Let s(i) be the first derivative of -3/8*i**4 + 11/6*i**3 - 3 - 2*i**x - 2*i. Suppose s(d) = 0. Calculate d.
-1/3, 2
Let y(r) be the first derivative of -2*r**3/21 + 3*r**2/7 + 36*r/7 - 884. Suppose y(w) = 0. What is w?
-3, 6
Factor -4/5*j**4 + 8/5*j**3 + 12*j**2 - 144/5*j + 0.
-4*j*(j - 3)**2*(j + 4)/5
Factor 27/5*r - 6 + 3/5*r**2.
3*(r - 1)*(r + 10)/5
Let m = 9/16 + 15/16. Let a(b) be the first derivative of -b**2 - m*b**4 - 2*b**3 - 2/5*b**5 + 1 + 0*b. What is p in a(p) = 0?
-1, 0
Let u(g) = -3*g**3 + 32*g**2 + 15*g - 44. Let p be u(11). Find r such that p - 1/8*r**2 - 5/8*r = 0.
-5, 0
Let n = 8/3 + -127/48. Let q(j) be the third derivative of 0*j**3 - 1/80*j**5 - 6*j**2 + 0*j - n*j**4 - 1/480*j**6 + 0. Factor q(x).
-x*(x + 1)*(x + 2)/4
Let p(y) = y**3 - 5*y**2 + 1. Let n be p(5). Solve n + 11*t + 5*t + 7*t**2 + 2*t**2 - 5 = 0 for t.
-2, 2/9
Let b = -103/4 - -1007/36. Find x such that -b*x - 2/3 + 2*x**2 + 8/9*x**3 = 0.
-3, -1/4, 1
Let k = 2/263 - -253/1315. Let r(a) be the first derivative of 1/10*a**4 + 0*a**3 + 1/25*a**5 + 5 - 1/5*a**2 - k*a. Factor r(b).
(b - 1)*(b + 1)**3/5
Suppose -3*l + 4 = -2. Let b be (l/3)/((-2)/(-9)). Determine p so that 136*p - 9*p**2 + 2*p**b + p**3 - 130*p = 0.
0, 1, 2
Let 21 + 3*o**4 - 36*o - 8*o**4 - 141 + 30*o + 75*o**2 + 56*o = 0. Calculate o.
-3, -2, 1, 4
Let b(m) = 2*m**2 + 176*m - 174. Let i(t) = -6*t**2 - 530*t + 522. Let f(s) = -7*b(s) - 2*i(s). Determine v, given that f(v) = 0.
-87, 1
Let n = -124 - -85. Let o be (120/n - -3)/((-2)/4). Find u, given that -6/13*u + o*u**2 + 0 = 0.
0, 3
Let o be 42/28 - 3/4. Let x(y) be the second derivative of -5/2*y**3 + 0 - o*y**4 + 2*y - 3*y**2. Factor x(g).
-3*(g + 1)*(3*g + 2)
Suppose 5340*r**3 + 0 - 536/9*r**4 - 1457464/9*r**2 + 2/9*r**5 + 1409938/9*r = 0. Calculate r.
0, 1, 89
Suppose 54 = -3*s + 66. Let o(j) be the first derivative of 0*j + 0*j**2 + s + 2/3*j**3 - 2/5*j**5 + 0*j**4. Determine u so that o(u) = 0.
-1, 0, 1
Let m(l) = -14*l**2 - 128*l - 33. Let c(g) = g**2 - 3. Let k(f) = -28*c(f) + 4*m(f). Solve k(n) = 0 for n.
-6, -2/21
Let i(v) be the third derivative of -1/12*v**4 - 1/210*v**7 + 1/60*v**5 + 0*v**3 + 0*v + 0 - 8*v**2 + 1/60*v**6. Solve i(h) = 0.
-1, 0, 1, 2
Let c(i) be the second derivative of 3*i**5/26 + 43*i**4/78 + 8*i**3/13 - 4*i**2/13 + 36*i - 2. What is g in c(g) = 0?
-2, -1, 2/15
Let h(l) = -4*l - 1. Let v(c) = -3*c**2 + 43*c - 245. Let j(b) = -5*h(b) + v(b). Let j(g) = 0. What is g?
5, 16
Let f = -531/4 + 55759/420. Let i(n) be the second derivative of 0 + 8*n + 0*n**2 + 1/21*n**4 + f*n**6 + 0*n**3 + 3/70*n**5. Determine t so that i(t) = 0.
-2, -1, 0
Let x(r) = 18*r**3 - 58*r**2 + 130*r - 58. Let f(b) = -20*b**3 + 56*b**2 - 131*b + 59. Let g(i) = 4*f(i) + 5*x(i). Factor g(l).
2*(l - 3)**2*(5*l - 3)
Let q(v) be the first derivative of -5*v**3/3 + 5*v**2 + 120*v + 324. Factor q(w).
-5*(w - 6)*(w + 4)
Let r(i) = 7*i**2 - 3*i + 5. Let p(a) = 0*a - 6*a - a + 6*a + 2 + 3*a**2. Let g(t) = 5*p(t) - 2*r(t). Factor g(k).
k*(k + 1)
Let a(z) be the third derivative of z**6/780 - z**5/65 - 7*z**4/156 + 2*z**2 - 7. Let a(f) = 0. What is f?
-1, 0, 7
Let i(v) = 65*v**2 + 95*v - 25. Let n(d) = 2*d - 3 + 17*d + 0 - 7*d + 8*d**2. Let o(m) = 3*i(m) - 25*n(m). Factor o(u).
-5*u*(u + 3)
Let t = 883 + -88