(x - 1)**2*(x + 1)/9
Let u(m) be the first derivative of 2*m**3/21 - 254*m**2 + 3554*m/7 - 10137. Solve u(x) = 0 for x.
1, 1777
Let x(i) be the third derivative of -i**5/12 - 145*i**4/8 + 220*i**3/3 - 80*i**2 - 7. Factor x(v).
-5*(v - 1)*(v + 88)
Let o be 3 + 1 + (195/12)/(-5). Let i be (-1)/6*(-2754)/68. Suppose 9/2*n + o*n**2 + i = 0. Calculate n.
-3
Determine b, given that 36/5*b**5 - 32*b - 318/5*b**4 + 436/5*b**3 - 56/5 + 206/5*b**2 = 0.
-1/2, -1/3, 2/3, 2, 7
Let h be 0*(0 - 1)*1. Let o(k) = k + 1. Let s be o(-1). Solve 6*a**5 - 8*a**3 + s*a**5 + h*a + 4*a - 2*a**5 = 0 for a.
-1, 0, 1
Let o = 875 + -839. Let l be ((-2)/o)/(168/(-1008)). Let 3*x + 2*x**2 + 4/3 + l*x**3 = 0. What is x?
-4, -1
Let u = -8 + 12. Let a(c) = c - 5. Let x be a(11). Factor -20/3*b + 8/3 - 7/3*b**3 + 1/3*b**u + x*b**2.
(b - 2)**3*(b - 1)/3
Let s(c) be the third derivative of -c**5/60 - 295*c**4/32 - 221*c**3/24 - 13*c**2 + c + 2. Find v such that s(v) = 0.
-221, -1/4
Let m = 313117/1101 - 389/367. Determine j so that -2/3*j**4 - 90*j**2 - 1000/3 + 38/3*j**3 + m*j = 0.
4, 5
Let d be (15 + 1 - 19) + 149 + -1. Let a be (1 + -6)/(d/(-58)). Let 3/2*f**4 + 99/2*f**a + 24 + 15*f**3 + 60*f = 0. What is f?
-4, -1
Suppose 0 = -h - 330 + 325, -4*u + 28 = -4*h. Solve 0 + 0*o - 16*o**u - 4/3*o**3 = 0 for o.
-12, 0
Let g(d) = 4*d**3 + 28*d**2 - 36*d. Let p(z) = z**3 - 5*z**2 + 2*z. Let o(r) = g(r) - 2*p(r). Factor o(b).
2*b*(b - 1)*(b + 20)
Let n = 4951489/3 + -1650483. Factor -122/9 - n*o + 2/9*o**2.
2*(o - 61)*(o + 1)/9
Let o(z) = 7*z**2 + 9*z. Let c = 160 - 156. Let v(g) = -6*g**2 - 10*g - 1. Let l(j) = c*v(j) + 3*o(j). Factor l(x).
-(x + 4)*(3*x + 1)
Let p be (5 - (-3 + 7))*5. Let c(f) be the third derivative of -1/20*f**p + 0 - 2*f**3 - 8*f**2 + 1/2*f**4 + 0*f. Factor c(t).
-3*(t - 2)**2
Let y(g) be the second derivative of g**5/60 + 65*g**4/18 - g**3/18 - 65*g**2/3 + 1576*g. Factor y(q).
(q - 1)*(q + 1)*(q + 130)/3
Let w be 15/(2 + 1) + (-3 - 0). Factor 0*b - w*b**3 + b + 241 + b - 240 - b**4.
-(b - 1)*(b + 1)**3
Factor -436*d + 14/19*d**2 - 2368/19.
2*(d - 592)*(7*d + 2)/19
Let k be 6 - 0 - (-3 - (-24)/4). Factor 2*c - 2*c**4 - 4 + 4*c**3 - 6*c**k + 15*c**2 - 9*c**2.
-2*(c - 1)**2*(c + 1)*(c + 2)
Let q = 1234207/2100 + -4114/7. Let l(g) be the third derivative of 0 + 3*g**2 + 0*g - q*g**5 - 1/30*g**3 - 1/60*g**4. Let l(a) = 0. Calculate a.
-1
Let l(h) = h**2 - h. Suppose -5*x = -10 + 20. Let j(s) = -s**3 + 3*s**2 + 16*s. Let r(n) = x*l(n) - j(n). Suppose r(q) = 0. What is q?
-2, 0, 7
Let k = 1/6325 + 75893/44275. Factor -24/7*s + k*s**2 - 2/7*s**3 + 16/7.
-2*(s - 2)**3/7
Find n, given that -390*n**2 - 793*n**3 + 790 + 268*n**3 + 405*n + 260*n**3 + 260*n**3 = 0.
-79, -1, 2
Let u(x) be the first derivative of -1/25*x**5 + 0*x - 1/10*x**4 + 0*x**2 + 109 + 1/5*x**3. Factor u(r).
-r**2*(r - 1)*(r + 3)/5
Let r(a) = -a**3 + 2*a**2 - 4*a - 5. Let g be r(-1). Let w be ((-36)/126)/(2/(-14))*g. Factor 2/3*t**w + 0 + 0*t**2 + 0*t**3 + 0*t + 1/3*t**5.
t**4*(t + 2)/3
Factor 1425/2*g**2 - 1425/2 - 1/2*g + 1/2*g**3.
(g - 1)*(g + 1)*(g + 1425)/2
Suppose -2*o - 251 = -3*j + 130, 127 = j - 5*o. Suppose j - 1 = 7*n. Factor n*x**3 - 8*x**4 + 3*x**2 - 14*x**2 + 7*x**2.
-2*x**2*(x - 2)*(4*x - 1)
Suppose 883 + 257 = 76*u. What is i in -i**3 + 5*i**3 - 3*i + 9 + 4*i**2 - u*i + 23 - 22*i = 0?
-4, 1, 2
Let w be 13/2 + 8/(-16). Let p be (343/(-35) - -11)/(2/5). Factor -v**p - w*v + 2*v + 5*v**2 - 9*v**2.
-v*(v + 2)**2
Let o = 189563 + -189560. Solve 99/8*d - 81/8 - 19/8*d**2 + 1/8*d**o = 0 for d.
1, 9
Let v(c) be the first derivative of c**3/3 + c**2/2 + c + 124. Let j(m) = -4*m**3 - 172*m**2 - 1588*m + 3868. Let h(y) = j(y) + 4*v(y). Factor h(n).
-4*(n - 2)*(n + 22)**2
Let k(d) be the third derivative of -11*d**5/150 + 257*d**4/10 - 56*d**3/3 + 1032*d**2. Factor k(l).
-2*(l - 140)*(11*l - 2)/5
Solve 199 - 12730*p**3 + 2624 + 12727*p**3 - 5649*p + 2829*p**2 = 0 for p.
1, 941
Factor -3/5*v**2 - 663/5*v - 132.
-3*(v + 1)*(v + 220)/5
Let x(i) be the first derivative of i**4/32 + 7*i**3 + 441*i**2 + 3487. What is s in x(s) = 0?
-84, 0
Let f(r) = -4*r**2 - 302*r + 154. Let z be f(-76). Let h(q) be the first derivative of -z*q**2 + 12 - q**4 + 0*q - 8/3*q**3. Find l, given that h(l) = 0.
-1, 0
Let f = -590 - -593. Factor 3*o**3 - 279 - 273 + 0*o**f + 544 + 11*o**2 - 6*o.
(o - 1)*(o + 4)*(3*o + 2)
Suppose -18*a = 15*a - 825. Suppose 17 = -u - 4*k, 5*k + a = u - 3. Let 0 + 10/11*b**4 + 14/11*b**2 - 2/11*b**5 - 4/11*b - 18/11*b**u = 0. What is b?
0, 1, 2
Let s be (-3 - (-264)/20) + (-3)/15. Factor -14 - 10*m + 5*m + s*m - 4*m**2 + 5*m**2.
(m - 2)*(m + 7)
Let d(a) be the third derivative of -2*a**7/105 - 13*a**6/30 - 43*a**5/15 - 5*a**4/2 + 48*a**3 - 182*a**2. Factor d(v).
-4*(v - 1)*(v + 3)**2*(v + 8)
Let s(t) be the first derivative of -75 + 0*t + 0*t**2 + 1/5*t**5 - 5/4*t**4 + 4/3*t**3. Factor s(i).
i**2*(i - 4)*(i - 1)
Let j(t) be the first derivative of t**5/270 - t**4/27 - 4*t**3/9 + 36*t**2 + 76. Let s(i) be the second derivative of j(i). Suppose s(a) = 0. Calculate a.
-2, 6
Let p(v) be the third derivative of v**5/20 + 9*v**4/4 + 28*v**3 + 867*v**2. Find t, given that p(t) = 0.
-14, -4
Determine y, given that 5/7*y**4 - 89/7*y**3 + 0 - 19/7*y - 113/7*y**2 = 0.
-1, -1/5, 0, 19
Let j(u) be the third derivative of -u**6/540 + 34*u**5/135 + u**4/108 - 68*u**3/27 - 2157*u**2. Suppose j(d) = 0. Calculate d.
-1, 1, 68
Let d(h) be the first derivative of -h**4/4 + 46*h**3/3 - 182*h**2 - 4056*h + 893. Suppose d(k) = 0. Calculate k.
-6, 26
Let s(v) be the second derivative of 28*v + 1 + 188/3*v**3 - 4418*v**2 - 1/3*v**4. Factor s(i).
-4*(i - 47)**2
Factor -2/5*v**2 - 1229312/5 - 3136/5*v.
-2*(v + 784)**2/5
Suppose -183*t + 53/5*t**2 + 1035 - 1/5*t**3 = 0. What is t?
15, 23
Solve -1000/7*z + 998/7 + 2/7*z**2 = 0.
1, 499
Factor -734179686*k**2 + 3523128*k**3 + 3*k**5 + 3*k**5 - 8580780*k**4 + 57219578202*k + 8573271*k**4 + 28793774883.
3*(k - 313)**4*(2*k + 1)
Let q be (2610/348)/((-228)/(-16)). Determine w so that -8/19 - 16/19*w + 2/19*w**4 - 2/19*w**5 + q*w**3 - 2/19*w**2 = 0.
-1, 2
Let v = -1164 + 1162. Let i be -11*v/77 + 33/7. Factor 4/7 + 2/7*b**i - 8/7*b**3 - 4/7*b**2 + 6/7*b + 0*b**4.
2*(b - 2)*(b - 1)*(b + 1)**3/7
Let u(i) be the second derivative of 1/27*i**4 + 2/135*i**6 - 116*i + 0 - 14/9*i**3 - 4*i**2 + 1/9*i**5. Let u(r) = 0. Calculate r.
-3, -1, 2
Let c(z) be the first derivative of -z**5/5 + 3*z**4 - 15*z**3 + 25*z**2 + 2205. Factor c(k).
-k*(k - 5)**2*(k - 2)
Suppose 70 = a - 5*b, -4*a + 236 = 9*b - 7*b. Find c such that -2*c**3 - 101*c**2 - a*c + 71*c**2 - 40 - 3*c**3 = 0.
-2
Suppose 250*v - 228*v = 0. Let s(g) be the second derivative of -1/60*g**6 + 0*g**3 + 1/20*g**5 - 11*g + v + 0*g**2 - 1/24*g**4. Factor s(l).
-l**2*(l - 1)**2/2
Let n be (8 - 10)/(1200/(-6 - -2)). Let g(z) be the third derivative of 4/15*z**3 + 0*z + 1/15*z**4 + n*z**5 + 0 + 12*z**2. Determine q, given that g(q) = 0.
-2
Let r = -63 - -69. Factor -54*c**3 - 2*c**2 + 56*c**3 + 8*c - r*c**2.
2*c*(c - 2)**2
Let h(v) be the first derivative of v**6/900 - v**5/30 + 32*v**3/3 - 13. Let n(c) be the third derivative of h(c). Suppose n(l) = 0. Calculate l.
0, 10
Let q(u) be the third derivative of 27*u**8/112 - 33*u**7/10 + 83*u**6/60 + 123*u**5/5 + 25*u**4 + 32*u**3/3 - 2975*u**2. Suppose q(h) = 0. Calculate h.
-1, -2/9, 2, 8
Let t be (-40)/(-1004)*176/(-110). Let n = 326/2761 - t. Determine f so that 2/11*f - 4/11 + n*f**2 = 0.
-2, 1
Let a(r) be the third derivative of -r**8/504 + 8*r**7/105 - 41*r**6/60 - 20*r**5/9 + 25*r**4/3 - 6409*r**2. Find p such that a(p) = 0.
-2, 0, 1, 10, 15
Let y(u) be the first derivative of -89/7*u**2 - 86/7*u**3 + 127 + 9/14*u**4 - 30/7*u. Factor y(k).
2*(k - 15)*(3*k + 1)**2/7
Let s(m) = -2*m**2 - 167*m - 454. Let c(g) = -g**2 - 56*g - 152. Let p be (-10 - -3) + 7 + 26/2. Let n(q) = p*c(q) - 4*s(q). Find k such that n(k) = 0.
-8, -4
Let k = -773 + 790. Suppose x = -5*t + 5*x - 10, 4*t - 5*x = -k. Factor 5/3*w - 4/3*w**3 + 7/3*w**t - 2.
-(w - 2)*(w + 1)*(4*w - 3)/3
Let g = 229 + -169. Suppose 8*s**4 - 2*s**3 - g*s - 12*s**2 - 2*s**5 - 52*s + 112*s = 0. Calculate s.
-1, 0, 2, 3
Determine z so that -21*z**2 - 16*z**2 + 6*z - 6 + 52*z**2 - 11*z - 14*z**2 = 0.
-1, 6
Suppose 39*i - 2014 = 2393. Suppos