a be 53/(-53)*0/2. Let q be (6 - 3) + -7 + 176/40. Factor -4/5*j + q*j**2 + a.
2*j*(j - 2)/5
Suppose -4138*s = -4213*s + 292 + 158. Let g(c) be the second derivative of s*c**3 + 81*c**2 + 1/6*c**4 + 34*c + 0. Factor g(f).
2*(f + 9)**2
Solve 0 + 8/13*u**3 + 34/13*u**2 - 14/13*u**4 + 12/13*u = 0.
-1, -3/7, 0, 2
Let o = 96 + -59. Let h = o - 35. Factor 24*j**h - 8*j**2 + 48*j**2 - 16*j - 18*j**4 - 30*j**3 - 8*j.
-2*j*(j + 3)*(3*j - 2)**2
Let m(p) be the third derivative of p**6/40 - 29*p**5/20 - 129*p**4/8 - 99*p**3/2 - 113*p**2 - 2*p - 5. Factor m(d).
3*(d - 33)*(d + 1)*(d + 3)
Let i(p) = -7*p**2 - 15*p - 12. Let u = 47 + -44. Suppose -1 = -u*h - 7. Let f(y) = -15*y**2 - 30*y - 25. Let j(s) = h*f(s) + 5*i(s). Solve j(b) = 0 for b.
-2, -1
Let y(i) = 22*i + 74. Let q(f) = f**2 - 21*f - 75. Let s = 129 + -118. Suppose 12*v = s + 13. Let o(n) = v*q(n) + 3*y(n). Let o(x) = 0. Calculate x.
-6
Let n(i) be the first derivative of 5*i**3/3 + 365*i**2/2 - 370*i + 1719. Let n(h) = 0. What is h?
-74, 1
Let l = -98458/7 - -14094. Let s(t) be the first derivative of 34 - 2/21*t**3 + 20/7*t**2 - l*t. Solve s(n) = 0.
10
Let s(w) be the first derivative of -w**6/24 - w**5/4 + 10*w**3/3 - 3*w**2/2 + 5*w + 86. Let n(c) be the second derivative of s(c). Factor n(q).
-5*(q - 1)*(q + 2)**2
Suppose -3*y - 18 + 74 = c, -y - 4*c = -26. Let x(v) be the second derivative of 5/57*v**3 + y*v - 2/57*v**4 + 1/190*v**5 + 0 - 2/19*v**2. Factor x(u).
2*(u - 2)*(u - 1)**2/19
Suppose 84*w = -67*w + 30*w. Let n(c) be the second derivative of 1/60*c**5 + 1/180*c**6 - 2/9*c**3 - 11*c + 0 + w*c**2 - 1/18*c**4. Factor n(k).
k*(k - 2)*(k + 2)**2/6
Factor -186/5*o + 14/5*o**2 - 40.
2*(o + 1)*(7*o - 100)/5
Let y(o) be the third derivative of o**7/735 + 17*o**6/420 + 37*o**5/105 - 8*o**4/21 - 128*o**3/7 - 2906*o**2. Find s, given that y(s) = 0.
-8, -3, 2
Let v(q) = 368*q - 7356. Let x be v(20). Solve -2/5*i**5 - 48/5*i**3 + 0 + 10*i - x*i**4 + 4*i**2 = 0.
-5, -1, 0, 1
Let n(c) = c - 10. Let s(a) = -a + 8. Let l(p) = 4*n(p) + 5*s(p). Let w(j) = 3*j**2 + 21*j + 21. Let g(m) = -3*l(m) + w(m). Let g(h) = 0. Calculate h.
-7, -1
Let c be -27 + 26 + -2 - (0 - 6). Let u(s) be the third derivative of 0*s**4 + 0*s**c + 0 - 1/160*s**5 - s**2 + 0*s. Factor u(m).
-3*m**2/8
Let u(t) be the first derivative of 2*t**3/33 - 63*t**2/11 - 36*t - 758. Suppose u(y) = 0. Calculate y.
-3, 66
Find a such that 440833/3*a - 146689/3 + 148990/3*a**3 + 1/3*a**5 - 442366/3*a**2 - 769/3*a**4 = 0.
1, 383
Suppose 0 = -b - 0 + 2. Suppose 51*q - 52*q + 4 = 0. Factor -4 + x + 4*x**3 + q*x**b - 4*x - 4*x + 3*x.
4*(x - 1)*(x + 1)**2
Let s = -37591 + 112781/3. Let s*k + 0 - 56/3*k**3 + 2/3*k**2 + 34/3*k**4 + 4*k**5 = 0. What is k?
-4, -1/3, 0, 1/2, 1
Factor 9*g + 113 + 33*g + 47 + 5*g**2 + 18*g.
5*(g + 4)*(g + 8)
Let f(s) = -2*s**3 - 219*s**2 - 448*s - 301. Let g(t) = -t**3 - 15*t**2 + t + 1. Let l(r) = -f(r) + 5*g(r). Factor l(m).
-3*(m - 51)*(m + 1)*(m + 2)
Let x(f) be the second derivative of 2*f**7/7 + 2*f**6/15 - 9*f**5 + 5*f**4 + 164*f**3/3 + 48*f**2 - 993*f. Solve x(v) = 0.
-4, -1, -1/3, 2, 3
Let p be -33 - ((-107136)/60)/48. Suppose 12/5*g**2 + p*g - 3/5*g**3 - 6 = 0. Calculate g.
-2, 1, 5
Let z(w) be the third derivative of -5*w**8/336 - 4*w**7/21 + 9*w**6/8 + 37*w**5/6 + 25*w**4/3 - 48*w**2 - 34*w. Determine h, given that z(h) = 0.
-10, -1, 0, 4
Let o(s) be the first derivative of 3*s**5/20 - 5*s**4/4 + 7*s**3/2 - 9*s**2/2 - 20*s + 68. Let v(r) be the first derivative of o(r). Solve v(b) = 0 for b.
1, 3
Let p = 2279673/133 - 119943/7. Find x, given that -1458/19 - p*x - 2/19*x**2 = 0.
-27
Let l(p) = -6*p**5 + p**4 + 7*p**5 + p**5 - p**5. Let g(a) = -10*a**5 - 10*a**4 + 15*a**3 + 25*a**2 + 10*a. Let q(w) = -g(w) - 5*l(w). Factor q(t).
5*t*(t - 2)*(t + 1)**3
Let z = 48 + -11. Let f = -27 + z. Let 2*u**3 + f + 14*u**3 - 5*u**2 - 5*u**4 - u**3 - 15*u = 0. Calculate u.
-1, 1, 2
Let k = 8953/5870 + -74/2935. Factor 0 + 33/2*d + k*d**2.
3*d*(d + 11)/2
Suppose 3*x = 3*w - 21, w = -x - 1 - 0. Let v be w*5/(-3) - -5. Factor v - 4/19*o**2 - 2/19*o**3 + 0*o.
-2*o**2*(o + 2)/19
Let t(m) be the first derivative of -m**6/24 + 17*m**5/12 - 93*m**2 - 165. Let c(l) be the second derivative of t(l). Factor c(n).
-5*n**2*(n - 17)
Let a be 3/(-6)*2*-1. Let c(u) = -263*u + 262*u + a + 0. Let s(p) = 5*p**5 - 20*p**4 + 15*p**3 - 4*p + 4. Let z(w) = -4*c(w) + s(w). Find t such that z(t) = 0.
0, 1, 3
Let x(h) = -170*h**3 + 196*h**2 + 314*h - 10. Let j(g) = -56*g**3 + 65*g**2 + 103*g - 3. Let k(c) = 14*j(c) - 5*x(c). Determine t so that k(t) = 0.
-1, 2/33, 2
Let v(i) be the second derivative of -i**7/12600 + i**6/240 - 7*i**5/300 + 25*i**4/6 - i**2/2 + 67*i. Let u(f) be the third derivative of v(f). Factor u(n).
-(n - 14)*(n - 1)/5
Let h(j) be the third derivative of -1/72*j**6 - 25/3*j**3 + 5/72*j**4 + 1/6*j**5 + 70*j**2 + 0*j + 0. Let h(s) = 0. What is s?
-2, 3, 5
Let p(v) = -28*v + 14. Let d be p(-2). Find m, given that -63 - 7 + d*m + 2*m**2 - 2 = 0.
-36, 1
Let z(n) be the first derivative of -n**6/360 - n**5/40 + n**4/6 + 38*n**3/3 + 43. Let d(m) be the third derivative of z(m). Solve d(s) = 0 for s.
-4, 1
Let 6*z**4 - 2*z**4 + 4254 + 80*z**3 + z**3 + 16323 + 150*z**3 + 30685*z + 4503*z**2 = 0. What is z?
-19, -3/4
Suppose -95 = 7*f - 788. Suppose 0 = 59*n - 78 - f. Factor -2/9*s**n - 8/9*s - 10/9*s**2 + 0.
-2*s*(s + 1)*(s + 4)/9
Let a(z) be the second derivative of -z**4/4 - 141*z**3 - 4155*z**2/2 - 9898*z. Factor a(y).
-3*(y + 5)*(y + 277)
Let d be (-12)/(-12) + -1*41. Let a = d + 42. Factor 4 + 439*i**2 + 6 - 434*i**a - 15*i.
5*(i - 2)*(i - 1)
Let 13*m**4 - 4180*m - 32*m**3 - 198*m**3 - 6598 - 8*m**4 - 662 + 2845*m**2 = 0. What is m?
-1, 3, 22
Let m(l) be the third derivative of 0 + 0*l**3 + 1/40*l**6 + 13*l + 1/6*l**4 + 2*l**2 - 2/15*l**5. Find s such that m(s) = 0.
0, 2/3, 2
Let l(u) = 40*u**2 - 566*u + 229. Let p(d) be the third derivative of d**5/3 - 71*d**4/6 + 19*d**3 - 22*d**2 + 2*d. Let c(i) = -2*l(i) + 5*p(i). Factor c(w).
4*(w - 14)*(5*w - 2)
Factor -247/3*c + 41 - 1/3*c**3 + 125/3*c**2.
-(c - 123)*(c - 1)**2/3
Let o(a) be the second derivative of 2*a**5/5 + a**4/12 + 2*a**3 - a - 68. Let s(u) = -u**3 - 2*u. Let n(m) = -3*o(m) - 21*s(m). Let n(h) = 0. Calculate h.
-2, 0, 1
Let k(s) be the second derivative of -s**4/3 - 68*s**3/3 - 128*s**2 - 2276*s. Solve k(y) = 0 for y.
-32, -2
Suppose 3597075/8 + 3/8*m**2 - 3285/4*m = 0. Calculate m.
1095
Factor -2/9*v**2 - 328/3*v - 13448.
-2*(v + 246)**2/9
Let h(i) be the first derivative of -5*i**3/3 - 1505*i**2/2 + 3030*i - 6913. Suppose h(v) = 0. Calculate v.
-303, 2
Suppose -17*y = -10*y + 35. Let b be (-1 - 15/y) + 0. Factor 76*q**4 - 71*q**4 - 5*q - 5*q**3 - 3*q**b - 2*q**2 + 10*q**3.
5*q*(q - 1)*(q + 1)**2
Let i(p) = 28*p**2 + 20 - 35*p**3 - 88*p**2 - 10*p - 20*p + 20 + 25. Let g(b) = -9*b**3 - 15*b**2 - 8*b + 16. Let s(w) = -15*g(w) + 4*i(w). Factor s(n).
-5*(n - 1)*(n + 2)**2
Suppose 289*u - 363*u = 465*u - 1617. What is r in 0*r - 2/5*r**5 + 2/5*r**u + 0 + 2/15*r**2 - 2/15*r**4 = 0?
-1, -1/3, 0, 1
Let r(c) = 7*c**2 + 144*c + 84. Let i be r(-20). Let t(z) be the first derivative of -z**2 + 0*z - 1/3*z**3 + 1/4*z**i + 17. Factor t(g).
g*(g - 2)*(g + 1)
Let j(b) be the second derivative of b**4/4 - 86*b**3 + 3465*b**2/2 - 2*b - 8609. Determine r so that j(r) = 0.
7, 165
Determine v so that -4*v - 2*v**3 + 0 - 1/4*v**4 - 5*v**2 = 0.
-4, -2, 0
Let q(z) = -32*z**3 - 678*z**2 - 1008*z + 134. Let m(n) = -6*n**3 + n**2 - 1. Let r(w) = 6*m(w) + q(w). Factor r(i).
-4*(i + 2)*(i + 8)*(17*i - 2)
Let v(g) be the second derivative of g**4/4 + 33*g**3/2 - 105*g**2 + 15*g. Factor v(y).
3*(y - 2)*(y + 35)
Let v(p) = p**2 - 14*p - 70. Let t be v(18). Let h be (-24)/(-9)*(-8 + 140/16). Factor -2/9 - t*d**h + 4/3*d.
-2*(3*d - 1)**2/9
What is d in 54074*d**3 - 27035*d**3 + 152*d**2 - 27035*d**3 - 1032 - 884*d = 0?
-43, -1, 6
Let w(k) = 26*k**2 + 98*k + 126. Let x = 72 - 70. Let r(u) = -19*u**x + 99*u - u**3 + 21*u**2 + 125 + 25*u**2. Let f(c) = 2*r(c) - 3*w(c). Factor f(s).
-2*(s + 4)**3
Let d(h) = 2*h**3 - 23*h**2 - 15*h + 38. Let z be d(12). Suppose -175*k**3 + 1 - 1 + 4*k**5 + 168*k**3 - 2*k**z - 4*k**4 = 0. Calculate k.
-1/2, 0, 2
Suppose 43*u - 37*u + 232*u = -36*u + 1370. Determine z so th