-2*(t - 874)*(t - 1)/13
Factor -13687875 - 345*t**2 - 119025*t - 1/3*t**3.
-(t + 345)**3/3
Let r(j) be the second derivative of j**7/21 - 41*j**6/15 - 221*j**5/10 - 407*j**4/6 - 320*j**3/3 - 92*j**2 - 1414*j. Factor r(b).
2*(b - 46)*(b + 1)**3*(b + 2)
Let i = 175179 - 1226203/7. Find t such that 20/7*t**3 - 20/7*t + 2/7*t**4 + 48/7*t**2 - i = 0.
-5, -1, 1
Factor 6/7 - 5/7*x**3 + 26/7*x**2 - 5*x.
-(x - 3)*(x - 2)*(5*x - 1)/7
Suppose -3/7*d**5 + 15*d**4 + 0 + 216*d + 1980/7*d**2 + 834/7*d**3 = 0. What is d?
-3, -2, 0, 42
Suppose -21 = -4*p + 99. Factor -v**4 - 43*v**3 - p*v**2 - 4*v**4 + 78*v**3.
-5*v**2*(v - 6)*(v - 1)
Factor -1772/3*t + 14/9*t**2 - 1520/9.
2*(t - 380)*(7*t + 2)/9
Let w(h) be the third derivative of 5/24*h**4 + 0*h**3 + 28*h**2 + 0*h + 1/6*h**5 + 0 - 1/8*h**6. Solve w(u) = 0 for u.
-1/3, 0, 1
Determine q so that 334*q**3 - 165*q**2 - 289*q**3 + 216 - 3*q**5 + 9*q**4 - 11*q + 29*q = 0.
-4, -1, 2, 3
Suppose -2*c + 62 = 4*f, -2*c - 2*c - 5*f = -136. Suppose 4*i = 7*i - c. Suppose 5 + 20*a**2 + 55*a + 29*a + 24 - i = 0. What is a?
-4, -1/5
Let i(s) be the first derivative of 2/3*s**3 + 29*s**2 + 56*s + 204. Solve i(a) = 0 for a.
-28, -1
Let p(d) = -9*d**2 - 834*d - 35278. Let f(r) = -20*r**2 - 1665*r - 70555. Let n(h) = 2*f(h) - 5*p(h). Factor n(a).
5*(a + 84)**2
Let b be -4 + 168/189 - (-50)/15. What is s in -6*s - 12 + 6*s**2 - b*s**3 - 2/9*s**4 = 0?
-6, -1, 3
Let u(i) be the third derivative of -i**8/1008 - 2*i**7/105 - 37*i**6/360 - 7*i**5/30 - 2*i**4/9 - 2453*i**2. Suppose u(c) = 0. What is c?
-8, -2, -1, 0
Let k be -1 + 18 - (-29 - -46). Let j(z) be the first derivative of -3/16*z**4 - 1/20*z**5 + k*z + 18 - 1/8*z**2 - 1/4*z**3. Factor j(n).
-n*(n + 1)**3/4
Let p be (-6)/(-5)*(-34 + 219/6). Find k such that -9 + 57/2*k - 8*k**5 - 41/2*k**p - 19*k**2 + 28*k**4 = 0.
-1, 3/4, 1, 2
Let l be -2 - 2 - 12*-7. Suppose -4*f - 260 = -14*f. Suppose -18 + 188*x**2 - f + l*x**4 - 252*x**3 + 28 = 0. What is x?
-1/4, 2/5, 1, 2
Factor -196/9*c**3 + 0 - 2/9*c**2 + 2/9*c**4 + 196/9*c.
2*c*(c - 98)*(c - 1)*(c + 1)/9
Find j such that 6/11*j**3 - 12 - 258/11*j - 120/11*j**2 = 0.
-1, 22
Let a be 3*(-2)/105 - 153/((-257040)/96). Factor 0*r + a*r**2 - 3*r**3 + 0 - 1/3*r**4.
-r**3*(r + 9)/3
Let y(t) be the second derivative of -t**4/96 + 55*t**3/16 + 167*t**2/8 + 1332*t. Find f such that y(f) = 0.
-2, 167
Let n = 60 - 72. Let s be (15 + n)/(3/2). Determine l so that -2*l**3 + 7*l**2 - 11*l**s - 4*l - 2*l**2 = 0.
-2, -1, 0
Factor -2/7*m**4 - 448*m - 192*m**2 + 108/7*m**3 + 0.
-2*m*(m - 28)**2*(m + 2)/7
Let v be -26 + 754/104 + 20. Let z(u) be the first derivative of -1/12*u**3 + v*u + 1/2*u**2 - 29. Find g, given that z(g) = 0.
-1, 5
Factor -1024 + 416*l**2 + 1/4*l**5 + 31/4*l**4 + 512*l + 88*l**3.
(l - 1)*(l + 8)**4/4
Let b be (-45)/27 + (-1120)/(-384). Factor -b*i**2 + 11*i + 9/4.
-(i - 9)*(5*i + 1)/4
Let q(h) be the third derivative of h**7/630 + h**6/18 + h**4/6 - 2*h**3 - 117*h**2. Let r(w) be the second derivative of q(w). Let r(a) = 0. Calculate a.
-10, 0
Let f(a) be the first derivative of 0*a**3 + 1/6*a**6 - 10*a - 16 + 1/4*a**5 + 0*a**2 + 0*a**4. Let g(v) be the first derivative of f(v). Factor g(u).
5*u**3*(u + 1)
Let s(o) be the third derivative of -o**8/3024 + 11*o**7/945 - 77*o**6/1080 + 23*o**5/135 - o**4/6 + 7291*o**2. Let s(t) = 0. Calculate t.
0, 1, 2, 18
Let u(p) = -634*p + 1258*p - 639*p. Let l(a) = -a**2 + 14*a - 1. Suppose 0 = -2*t + 6 - 14. Let j(v) = t*u(v) - 5*l(v). Suppose j(q) = 0. Calculate q.
1
Suppose -5*g = -24*g - 133. Let d be (-5)/35 - g/49. Factor d*c - 8/7 + 2/7*c**2.
2*(c - 2)*(c + 2)/7
Let z(q) be the second derivative of -2/7*q**4 - 6 + 13*q - 16/7*q**3 - 64/7*q**2 - 1/70*q**5. Find i, given that z(i) = 0.
-4
Let c(r) = r**2 + 5*r - 4. Suppose -18 = -t + 4*t. Let x be c(t). Find h, given that 21*h**2 + 2*h + 0*h - 4 + 13*h**x - 30*h**2 - 2*h**3 = 0.
-1, 1, 2
Let k(l) = -l**2 + 24*l - 1. Let i(o) = -2*o**2 - 100*o - 77. Let s(q) = 3*i(q) + 21*k(q). Solve s(x) = 0.
14/9, 6
Suppose -1560*m = 5*a - 1559*m - 1, 0 = -a + m + 11. Suppose -1/7*x**5 - 6/7*x**3 - 5/7*x**4 + 0 + 8/7*x + 4/7*x**a = 0. What is x?
-2, 0, 1
Let i be ((70 - 70)/(-114))/(1*3). Factor -2/3*t**3 - 10*t - 32/3*t**2 + i.
-2*t*(t + 1)*(t + 15)/3
Let p = 5884 + -5882. Let j(a) be the first derivative of -30*a - 25/2*a**2 - p - 5/3*a**3. Factor j(g).
-5*(g + 2)*(g + 3)
Let d(m) be the third derivative of -m**8/1008 + 2*m**7/21 - 173*m**6/360 + 19*m**5/30 + 1249*m**2 + 2*m. Find v such that d(v) = 0.
0, 1, 2, 57
Let h(p) be the third derivative of 3/4*p**4 - 3/40*p**6 + 6*p**2 - 4 + 0*p + 7/20*p**5 + 0*p**3. Factor h(u).
-3*u*(u - 3)*(3*u + 2)
Let 1/7*x**4 + 0 - 1152/7*x**3 + 0*x + 331776/7*x**2 = 0. Calculate x.
0, 576
Let u(r) = -r + 18. Let y(i) = -i**3 + 8*i**2 - 12*i + 1. Let x be y(5). Let z be u(x). Find s, given that -8/7 + 8/7*s - 2/7*s**z = 0.
2
Let i(p) be the second derivative of p**6/120 + 23*p**5/80 - 103*p**4/48 + 133*p**3/24 - 27*p**2/4 - 8209*p. Let i(d) = 0. Calculate d.
-27, 1, 2
Let a be (19 + 1026/(-81) + -4)/(21/81). Determine z, given that -21/5 + 3/5*z**3 + a*z - 27/5*z**2 = 0.
1, 7
Let m = 8236/259 - 16213/518. Factor -m*f**2 - 20 + 7*f.
-(f - 10)*(f - 4)/2
Factor -660*o**4 - 31*o**2 + 4*o**2 + 329*o**4 + 328*o**4 + 30*o**3.
-3*o**2*(o - 9)*(o - 1)
Let v(s) be the first derivative of -3*s**5/20 + 15*s**4/8 - 3*s**3 - 27*s**2 + 138. Factor v(h).
-3*h*(h - 6)**2*(h + 2)/4
Let u(i) be the third derivative of i**5/90 + 17*i**4/2 + 305*i**3/9 - 211*i**2 + 5. Factor u(s).
2*(s + 1)*(s + 305)/3
Let d(k) be the second derivative of k**4/90 - 152*k**3/45 + 12*k. Factor d(z).
2*z*(z - 152)/15
Let d(s) = 3*s**2 - 2*s + 5. Let j(l) be the second derivative of -l**4/12 - l**3/6 - l**2/2 - 4*l - 6. Let x(z) = d(z) + 2*j(z). Factor x(w).
(w - 3)*(w - 1)
Suppose 5*r - 10 + 25 = 0, 0 = 4*t - 5*r - 3. Let s be 5/(-1) + (-3 - 24/t). Determine n so that 0 + s*n - 1/3*n**2 - n**4 + 4/3*n**3 = 0.
0, 1/3, 1
Let i(y) = -y**4 + y**3 + 4*y**4 + 42*y**3 - 6*y**3. Let q(l) = 11*l**4 + 149*l**3. Let u(f) = 9*i(f) - 2*q(f). Factor u(r).
5*r**3*(r + 7)
Let m(h) be the third derivative of h**6/420 + 79*h**5/210 - 64*h**4/21 - 820*h**3/21 + 3*h**2 + 7*h + 47. Factor m(z).
2*(z - 5)*(z + 2)*(z + 82)/7
Let c(s) be the first derivative of -s**6/252 + 47*s**5/420 - 3*s**4/14 - 39*s**3 - 117. Let u(r) be the third derivative of c(r). Factor u(m).
-2*(m - 9)*(5*m - 2)/7
Solve 2*t**5 + 0*t**5 - 4348*t**2 + 16*t**3 + 4356*t**2 - 2*t**4 + 12*t**4 = 0 for t.
-2, -1, 0
Let y(u) be the first derivative of u**6/120 + 3*u**5/40 - u**4/2 + 37*u**3/3 - 48. Let b(k) be the third derivative of y(k). Suppose b(a) = 0. Calculate a.
-4, 1
Let t = 11802 - 11802. Let r(u) be the second derivative of t*u**2 + 0*u**3 - 5/12*u**4 + 0 + 12*u. Find q, given that r(q) = 0.
0
Suppose 2*v - 5 = -7, 3*s + 2*v + 17 = 0. Let p(i) = 7*i**2 - 11*i + 9. Let f(b) = -10*b**2 + 16*b - 13. Let j(x) = s*f(x) - 7*p(x). Factor j(c).
(c - 2)*(c - 1)
Let n(k) = -122*k + 6957. Let i be n(57). Let s(c) be the first derivative of c**4 - 23 - 32/7*c - 8*c**2 + 8/21*c**i. Factor s(b).
4*(b - 2)*(b + 2)*(7*b + 2)/7
Let q be (-441 - -78) + (-5 - (1 - 1)). Let y be (q/(-36) - 10) + (-185)/(-18). Let 0 - y*w + 3/2*w**2 = 0. What is w?
0, 7
Let r(y) be the first derivative of -1/9*y**3 + 2/5*y**5 - 196 + 0*y**2 + 5/12*y**4 + 0*y. Factor r(k).
k**2*(k + 1)*(6*k - 1)/3
Let m be ((-2 + 32/10)*-10)/(-2). Let z(k) be the third derivative of 13/20*k**m - 1/10*k**7 + 0*k - k**5 + 0*k**3 + 0 - k**4 - 13*k**2. Solve z(c) = 0 for c.
-2/7, 0, 2
Let x(i) be the second derivative of 5*i**5/12 + 35*i**4/24 + 5*i**3/3 - 71*i**2/2 - 11*i. Let a(y) be the first derivative of x(y). Solve a(r) = 0.
-1, -2/5
Let s(l) = 1419*l + 5681. Let z be s(-4). Let m(k) be the third derivative of 4/3*k**3 + 0*k + 0 + 1/15*k**z - 3*k**2 + 1/2*k**4. Find t such that m(t) = 0.
-2, -1
What is a in -315005 - 2200015/2*a - 1557465/2*a**2 + 12515/2*a**3 - 25/2*a**4 = 0?
-1, -2/5, 251
Let s(b) be the first derivative of 2*b**3/15 + 4768*b**2/5 + 11366912*b/5 - 193. Suppose s(m) = 0. What is m?
-2384
Let m(y) be the first derivative of -1/5*y**4 - 79 + 38/5*y**2 + 0*y - 24/5*y**3. Factor m(r).
-4*r*(r - 1)*(r + 19)/5
Let g(b) be the second derivative o