4*(t - 1)**3*(t + 129)**2
Let r(s) = -s**2 + 973*s + 24952. Let p be r(-25). What is f in -2*f**3 + 12 - 1/3*f**4 + 8*f - 5/3*f**p = 0?
-3, -2, 2
Let w(j) be the third derivative of j**8/4032 + 611*j**7/2520 + 8323*j**6/96 + 8612681*j**5/720 + 8365427*j**4/144 + j**2 + 55*j - 17. Factor w(p).
p*(p + 2)*(p + 203)**3/12
Let f = -140731/3 - -46913. Let n = 8/45 + 112/45. Factor 2/3*m**2 + n - f*m.
2*(m - 2)**2/3
Factor -10/9*r + 1/9*r**4 + 8/9*r**2 + 10/9*r**3 - 1.
(r - 1)*(r + 1)**2*(r + 9)/9
Let j = -132521 - -132530. Factor -3/4*b**3 + 3/4*b**2 + 6*b - j.
-3*(b - 2)**2*(b + 3)/4
Let z = -3367 + 3379. Suppose x + q + 3 = 3*x, 0 = 5*x + 3*q - 13. Let 12*k**4 + 16*k + 16*k**3 + 16*k**3 + z*k**x - 24*k = 0. Calculate k.
-2, -1, 0, 1/3
Let y be -5 - (-9 + (-220)/(-25))*35. Factor -12/5*b + y - 18/5*b**2 + 4/5*b**3.
2*(b - 5)*(b + 1)*(2*b - 1)/5
Let w be 85626/(-3015) + (-30)/(-1). Factor 6/5 + 2/5*i**2 - w*i.
2*(i - 3)*(i - 1)/5
Let u(z) be the first derivative of 7*z**4/6 - 19*z**3/3 - 6*z**2 + 46*z - 276. Let h(t) be the first derivative of u(t). Determine o so that h(o) = 0.
-2/7, 3
Let o be (-38)/(-12) - 17/102. Factor 15*n - 12*n**4 - 12*n**o - 1 + 0 - 9*n**2 + 10 - 15*n**3.
-3*(n + 1)**3*(4*n - 3)
Suppose -62*t - 308/5*t**2 + 0 + 2/5*t**3 = 0. What is t?
-1, 0, 155
Let f(k) = -k**2 + k + 2. Let t(v) = 2*v**2 - v - 3. Let g(o) = 3*f(o) + 2*t(o). Let n be g(-2). Determine p so that -p + 3*p**n - 4*p - 2*p**2 + 7*p = 0.
-2, 0
Let b(i) be the first derivative of i**4/3 + 8*i**3 + 54*i**2 + 21*i - 283. Let f(k) be the first derivative of b(k). Factor f(o).
4*(o + 3)*(o + 9)
Let i be (-280)/12 + -363 + 391. Suppose 0 + i*c**3 - 2/3*c**5 + 8*c + 40/3*c**2 - 4/3*c**4 = 0. What is c?
-2, -1, 0, 3
Let h(a) be the second derivative of a**6/30 - 71*a**5/2 + 126025*a**4/12 - 2669*a. Find b such that h(b) = 0.
0, 355
Let i(j) be the second derivative of 3*j**5/20 + 14*j**4 + 170*j**3 - 20808*j**2 + 776*j. What is x in i(x) = 0?
-34, 12
Suppose -2974*u**2 + 77*u**4 - 8718*u**2 - 44228*u - 2466*u**3 - 25876*u - 76176 - 197*u**4 - 8784*u**2 - 2*u**5 = 0. Calculate u.
-23, -6, -2
Factor -2*s + 0 + s**2 - 1/4*s**4 + 1/2*s**3.
-s*(s - 2)**2*(s + 2)/4
Let r(o) be the first derivative of -o**5/15 - 13*o**4/12 - 14*o**3/3 - 4*o**2/3 + 64*o/3 - 1031. Solve r(t) = 0.
-8, -4, -2, 1
Suppose -3*o + 5*r - 6 = -o, 5*r - 16 = -3*o. Factor -21 + 30 - o*x**2 - 12 - 12*x - 7.
-2*(x + 1)*(x + 5)
Suppose 16*p = 7*p - 12*p. Let v(t) be the second derivative of -1/70*t**5 + 0*t**2 + p*t**3 - 28*t - 2/21*t**4 + 0. Factor v(n).
-2*n**2*(n + 4)/7
Let v be (-11082)/(-36) + -2 + 65/30. Let r = -1227/4 + v. Determine k, given that 1/4*k**3 + 7/4*k - 3/4 - r*k**2 = 0.
1, 3
Factor -6991*a + 13763*a - 2633 + 2*a**2 - 7412*a + 6833 + 2*a**3.
2*(a - 10)**2*(a + 21)
Let -325*r**3 + 1735 - 493 + 918 - 225*r**2 - 5*r**5 - 75*r**4 + 1350*r = 0. Calculate r.
-8, -3, 2
Let x(m) be the first derivative of -6*m**5/55 - 81*m**4/22 - 546*m**3/11 - 3675*m**2/11 - 12348*m/11 + 4964. Factor x(g).
-6*(g + 6)*(g + 7)**3/11
Suppose -892*y**3 - 668*y**2 - 366*y + 1262*y - 120*y**4 + 50*y**4 + 265 - 46*y**4 + 519 - 4*y**5 = 0. Calculate y.
-14, -1, 1
Let l be ((-1272)/(-4664))/(21/(-11) - (-2)/1). Let r(m) be the first derivative of 2 - 30/7*m**2 - 1/7*m**4 - 12/7*m**l - 4*m. Suppose r(d) = 0. What is d?
-7, -1
Determine p so that 139/4*p**2 - 136*p + 135 - 1/4*p**3 = 0.
2, 135
Suppose -171*l = -227*l. Factor -18/5*m**2 + 8/5*m + 2/5*m**4 + 24/5 + l*m**3.
2*(m - 2)**2*(m + 1)*(m + 3)/5
Let t(z) be the first derivative of -z**6/1080 - 7*z**5/360 + z**4/4 + 49*z**3/3 - 1. Let s(d) be the third derivative of t(d). Factor s(y).
-(y - 2)*(y + 9)/3
Suppose 34 = 5*l - 51. Suppose l*i - 11*i = 18. What is p in 0 - 3/2*p**4 + 3/2*p**2 - 3*p**3 + i*p = 0?
-2, -1, 0, 1
Suppose -73*w = -156*w + 332. Determine n so that -84/5*n**3 + 1215 + 3/5*n**w - 756*n + 858/5*n**2 = 0.
5, 9
Let w = 706 - 700. Let t(r) be the third derivative of 0 + 0*r**5 - 1/540*r**w + 0*r + 0*r**3 + 1/27*r**4 - 10*r**2. Factor t(l).
-2*l*(l - 2)*(l + 2)/9
Let h(k) be the first derivative of k**4/2 - 76*k**3/3 + 347*k**2 - 1100*k - 9473. Factor h(u).
2*(u - 25)*(u - 11)*(u - 2)
Let l(b) = -5*b**2 + 56*b - 140. Let q be l(4). Let t(x) be the second derivative of 0*x**2 + 9*x + 0 + 0*x**3 - 4/3*x**q - 1/5*x**5. Find a such that t(a) = 0.
-4, 0
Let m(v) = -3*v**2 - v - 2. Let s(x) = -4*x**2 - 2*x - 3. Let p(z) = -7*m(z) + 5*s(z). Let t be p(4). Factor -9 - 1 + t + 3*r**3 + 1 + 15*r - 12*r**2.
3*(r - 2)*(r - 1)**2
Let -495 + 95*d**2 + 0*d**2 + 281*d - 990*d**3 + 120*d + 989*d**3 = 0. Calculate d.
-5, 1, 99
Suppose -i + 2 + 1 = 0. Let h be (988/4199)/(14/17). What is j in -2/7*j - 8/7*j**2 + 8/7 + h*j**i = 0?
-1, 1, 4
Let s be ((-392)/63)/(-7)*18/192. Let c(a) be the third derivative of -1/120*a**5 + 0*a**3 + 0*a + s*a**4 - 30*a**2 + 0. Let c(q) = 0. Calculate q.
0, 4
Suppose -19*w = 4 + 3 - 7. Suppose 4*d + 21 = 37. Factor 1/7*h**d + 0 + 0*h**2 + w*h - 1/7*h**3.
h**3*(h - 1)/7
Let f(v) be the second derivative of 3*v**6 + 25/42*v**7 - 35/6*v**3 + 15*v**2 + 23*v - 1 + 1/2*v**5 - 10*v**4. Determine y so that f(y) = 0.
-3, -1, 2/5, 1
Factor 2 + 2/19*c**2 - 40/19*c.
2*(c - 19)*(c - 1)/19
Let w be 4 - ((-12)/(-54) + (-2787)/27). Suppose 0 = w*s - 111*s + 8. Factor 30*k**s - 56*k**2 + 24*k + 30*k**2.
4*k*(k + 6)
Factor -128/5*d**3 + 128/5*d - 1/10*d**2 + 1/10*d**4 + 0.
d*(d - 256)*(d - 1)*(d + 1)/10
Suppose 6 = -4*t + 7*t - 3*g, -5*t - 2*g = -31. Suppose 14*i + 5*d - t = 19*i, 2*i - 5 = -5*d. Factor i*l + 0*l**2 - 1/3*l**5 + 0 - 7/6*l**4 + 0*l**3.
-l**4*(2*l + 7)/6
Let d be (-205 - (-2 - -9))/(-2). Let g = d - 104. Factor 0*p**g - 2/5*p**4 + 0*p - 4/5*p**3 + 0.
-2*p**3*(p + 2)/5
Let m(c) be the second derivative of -c**4/3 + 2032*c**3/3 - 516128*c**2 - 316*c - 2. Find d such that m(d) = 0.
508
Let w = -208 - -307. Solve 6*s**3 + 477 + 64*s**2 + 336*s - s**3 + w - s**3 = 0 for s.
-6, -4
Let j be 32/18 + (-2)/(-9). Let b be 18938/2785 + (-13)/2. Factor 0 + 0*q + 1/10*q**3 + b*q**j.
q**2*(q + 3)/10
Determine o so that -712*o**2 - 4*o**3 + 960*o**2 - 832*o**2 + 1184*o = 0.
-148, 0, 2
Let q(b) be the third derivative of b**8/1680 + b**7/420 + b**6/360 + 8*b**3/3 - 19*b**2. Let p(h) be the first derivative of q(h). Factor p(y).
y**2*(y + 1)**2
Suppose 654 + 1418*t - 3342091*t**2 - 2070 + 3342089*t**2 = 0. Calculate t.
1, 708
Let k be (4/189)/((-4121)/(-117) - (2 - -33)). Factor -124/7*t**2 - 464/21 - 10/3*t**3 - 712/21*t - k*t**4.
-2*(t + 2)**3*(t + 29)/21
Let x(j) = -j**3 + 2*j**2 - 2*j - 1. Let a(u) = u**4 - 31*u**3 - 22*u**2 + 48*u - 4. Let l(m) = -a(m) + 4*x(m). Solve l(w) = 0 for w.
-2, 0, 1, 28
Let l(f) = 13*f**2 + 1429*f - 57622. Let z(d) = -5*d**2 - 476*d + 19208. Let i(n) = 4*l(n) + 11*z(n). Factor i(o).
-3*(o - 80)**2
Let q(k) = 6*k**3 - 2612*k**2 + 1939*k + 612. Let p(f) = -4*f**3 + 1306*f**2 - 968*f - 304. Let l(n) = 11*p(n) + 6*q(n). Factor l(t).
-2*(t - 1)*(t + 164)*(4*t + 1)
Let q be -13 - (9 + 1260/(-54)). Let b(n) be the first derivative of -2*n - 2/9*n**3 - 16 + q*n**2. Factor b(v).
-2*(v - 3)*(v - 1)/3
Let 107/6*o**4 + 0*o - 2/3*o**5 - 77/6*o**3 + 0 - 13/3*o**2 = 0. Calculate o.
-1/4, 0, 1, 26
Factor -10 - 2*a**2 - 38 - 13 - 39 + 54*a.
-2*(a - 25)*(a - 2)
Let q(n) be the third derivative of -n**8/112 - 37*n**7/70 - 12*n**6 - 110*n**5 + 250*n**4 + 15000*n**3 - 9*n**2 - 89*n. Find l such that q(l) = 0.
-10, 3
Let -56/3*m - 104/3 - 2/3*m**2 = 0. What is m?
-26, -2
Suppose 4*p + 3*n = 7*p - 15, -2*p - n - 2 = 0. Let y be (1 + p)*3*78/126. Factor 2*z**5 + 54/7*z**3 - 46/7*z**4 + 4/7*z + 0 - y*z**2.
2*z*(z - 1)**3*(7*z - 2)/7
Let p(c) be the third derivative of c**6/40 + 3*c**5/10 - 9*c**4/8 - 7*c**3 + 11*c**2. Factor p(k).
3*(k - 2)*(k + 1)*(k + 7)
Let a = 2510/3 - 4009/3. Let z = 503 + a. Factor 1/3*r**2 + z*r + 25/3.
(r + 5)**2/3
Let b(n) be the first derivative of -4/9*n**4 - 19 - 4/3*n**2 - 2*n**3 - n. Let u(r) be the first derivative of b(r). Let u(v) = 0. Calculate v.
-2, -1/4
Let u(n) = -n**2 - 5. Let r(o) = 4*o**2 + 16. Let g(l) = -2*l + 8. Let y be g(8). Let a = 18 + y. Let m(k) = a*u(k) + 3*r(k). What is f in m(f) = 0?
-1, 1
Factor -5 - 9 - 14 + z**3 + 6*z**2 - 14 + 10.
(z - 2)*(z + 4)**2
Let s(v) be the second derivative of v**6/30 + 