4 = 0 for f.
-4, -1
Let d = -470521/20 + 94169/4. Factor -18/5*f + d + 1/5*f**2.
(f - 9)**2/5
Let l(q) = 2*q**2 - 2059*q + 4115. Let x be l(2). Factor 4/7*a**x - 4/7*a**3 + 0 - 4/7*a**4 + 4/7*a**2 + 0*a.
4*a**2*(a - 1)**2*(a + 1)/7
Let v be 2213/3 + 76/57. Let 63 - 741*c + 21 - 2*c**2 + v*c = 0. What is c?
-7, 6
Let t be (2/9)/(2220/1332). Suppose -2/3*u**3 - t*u**2 + 2/3*u + 0 + 2/15*u**4 = 0. Calculate u.
-1, 0, 1, 5
Factor -50*q**2 - 124*q - 325666*q**3 + 17 + 508 + 325668*q**3 - 93.
2*(q - 27)*(q - 2)*(q + 4)
Let q be ((-2)/6)/(1/(-6)). Factor -4 - 2*y**3 + 7 + q*y + 0 - 10*y**2 + 7.
-2*(y - 1)*(y + 1)*(y + 5)
Let i = -15 + 20. Suppose 5*o = -2*m + m - i, -3*o + 9 = 3*m. Factor -5*x**4 - 3*x**5 + 5*x**m - 3*x**5.
-x**4*(x + 5)
Let i be ((-65)/(-117))/((-25)/(-70)). Let f(y) be the second derivative of -y**4 + 4/3*y**2 - 15*y + 0 + i*y**3. Factor f(n).
-4*(n - 1)*(9*n + 2)/3
Let c(w) be the first derivative of 3*w**5/20 + 99*w**4/4 + 2111*w**3/2 - 6633*w**2/2 + 13467*w/4 - 1228. Solve c(q) = 0 for q.
-67, 1
Let l(g) be the second derivative of g**5/35 + 2*g**4/21 - 2*g**3/21 - 4*g**2/7 - 3*g - 153. Find s, given that l(s) = 0.
-2, -1, 1
Let m(q) be the first derivative of 0*q**4 - 1/45*q**5 + q**3 - 1/540*q**6 + 9 + 0*q**2 + 0*q. Let p(h) be the third derivative of m(h). Factor p(n).
-2*n*(n + 4)/3
Suppose -5*j + 9 + 5 = 4*q, 4*j + q = 9. Let v be (-2)/2 + (-153)/36*-2. What is a in -v*a**j - 25/2*a - 5/6*a**3 + 125/6 = 0?
-5, 1
Let i(z) be the third derivative of z**5/480 + 11*z**4/64 - 1370*z**2. Find d, given that i(d) = 0.
-33, 0
Factor -8533*x**2 + 14*x**5 + 4220*x**2 - 304*x**3 - 1060*x**4 + 4313*x**2.
2*x**3*(x - 76)*(7*x + 2)
Let b(d) be the first derivative of d**3/6 + 332*d**2 + 220448*d - 2456. Factor b(c).
(c + 664)**2/2
Let v = -63 - -127. Suppose v*w - 10*w + 175*w**2 + 18*w + 20 + 48*w - 45*w**4 - 30*w**3 = 0. Calculate w.
-2, -1/3, 2
Suppose 13*j + 2*q - 56 = 10*j, -5*q = 3*j - 59. Let f(d) = -d**3 + 20*d**2 - 39*d + 56. Let w be f(j). Factor 2/3*p**w + 8/3*p + 2.
2*(p + 1)*(p + 3)/3
Let v = 1252 + -1261. Let h be (v - (-6 - 2))*0. Factor 0 + h*s**2 - 3/5*s**3 + 0*s.
-3*s**3/5
Let b(t) be the second derivative of -t**5/30 + 19*t**4/54 + 38*t**3/27 + 16*t**2/9 + 967*t - 1. Solve b(u) = 0 for u.
-1, -2/3, 8
Let h(u) = -28*u**4 + 80*u**3 - 326*u**2 + 358*u + 2. Let c(q) = -152*q**4 + 400*q**3 - 1631*q**2 + 1789*q + 11. Let n(g) = -2*c(g) + 11*h(g). Factor n(j).
-4*j*(j - 15)*(j - 3)*(j - 2)
Let p(m) be the first derivative of -8*m**6/3 + 132*m**5/5 + 125*m**4 - 32*m**3 - 440*m**2 - 8787. Suppose p(j) = 0. Calculate j.
-2, 0, 5/4, 11
Let l(d) be the second derivative of -2*d**6/15 - 3*d**5/5 + d**4 + 14*d**3/3 - 12*d**2 + d + 99. Factor l(g).
-4*(g - 1)**2*(g + 2)*(g + 3)
Factor 2458/3 + 2462/3*x**2 - 2/3*x**3 - 4918/3*x.
-2*(x - 1229)*(x - 1)**2/3
Let p(z) = 12*z**2 + 174*z - 342. Let k(w) = 5*w**2 + 88*w - 172. Let x(y) = 9*k(y) - 4*p(y). Factor x(f).
-3*(f - 30)*(f - 2)
Let q(j) be the first derivative of 28*j**2 - 196*j**3 - 4802/5*j**5 + 686*j**4 - 2*j - 12. Suppose q(n) = 0. What is n?
1/7
Let m(n) be the first derivative of -145 + 16*n - 1/4*n**4 - 2*n**2 + 1/5*n**5 - 4*n**3. Find l such that m(l) = 0.
-2, 1, 4
Let s(o) = -16*o**3 - 102*o**2 - 36*o. Let k be s(-6). Suppose k + 60*w**3 + 25/4*w**5 - 20*w + 35*w**4 + 20*w**2 = 0. Calculate w.
-2, 0, 2/5
Factor 74/11*f**2 + 1350/11 - 590/11*f - 2/11*f**3.
-2*(f - 27)*(f - 5)**2/11
Let i(l) be the third derivative of -l**6/24 + 17*l**5/12 - 20*l**4 + 150*l**3 + 223*l**2 + 3*l. Determine s, given that i(s) = 0.
5, 6
Let q = 96 + -56. Suppose -q*o + 44*o = 0. Let -2/9*u**2 - 2/3*u**3 - 2/3*u**4 - 2/9*u**5 + 0 + o*u = 0. Calculate u.
-1, 0
Let d(k) be the third derivative of -1/24*k**6 - 15/4*k**5 + 0*k - 209*k**2 + 0 - 5625/2*k**3 - 1125/8*k**4. Solve d(u) = 0.
-15
Let q be -2 + 6 - (5 - 4). Suppose 4*i**q - 499 + 148*i**2 + 1019*i - 265*i + 538*i - 945 = 0. Calculate i.
-19, 1
Let n be (-33)/(-143) - (-1127)/299. Let b(i) be the third derivative of -1/7*i**n - 43*i**2 + 0*i + 0 - 1/70*i**6 + 0*i**3 + 9/70*i**5. Factor b(v).
-6*v*(v - 4)*(2*v - 1)/7
Let d be (((-2024)/(-54648))/((-5)/(-9)))/(2/12). Determine p so that 8/5 + 2*p + d*p**2 = 0.
-4, -1
Let y be (42/(-7))/(-3) + (1 - -12). Factor 8*u**2 - 4*u**2 + 1 + y - 16*u + 0*u**2.
4*(u - 2)**2
Suppose -454 = -3*v - 4*t + 524, 981 = 3*v + 3*t. Let r = v + -330. Factor -2/17*u - 2/17*u**2 + r.
-2*u*(u + 1)/17
Let n = -4831/110 - -504/11. Let c(l) be the first derivative of -n*l**2 - 3/5*l - 11/5*l**3 - 9/20*l**4 - 11. Factor c(q).
-(q + 3)*(3*q + 1)**2/5
Let p(c) = c**3 + 12*c**2 + 11*c + 10. Let g be p(-11). Suppose z = g - 4. Factor 7*v**3 - 4*v**4 + 15*v - 14*v + 2*v**3 - z*v**2.
-v*(v - 1)**2*(4*v - 1)
Let y be 1 - (2 + -2 + -1). Let a = 2702 - 2702. Factor -533*g**2 + 9*g - 9*g**3 + 6 + a*g**4 - y*g**4 + 530*g**2 - g**4.
-3*(g - 1)*(g + 1)**2*(g + 2)
Let s be (-1522)/(-24) - 65/(-260). Let f = s - 560/9. Factor -f*g**2 - 11/9*g - 2/9 - 4/9*g**3.
-(g + 1)*(g + 2)*(4*g + 1)/9
Let x be (-36186)/102527 + 6/17. Determine y so that -2*y**4 + 0*y - 16/3*y**5 + 0*y**3 + 0 + x*y**2 = 0.
-3/8, 0
Factor 8*b**2 - 214/5*b + 176/5 - 2/5*b**3.
-2*(b - 11)*(b - 8)*(b - 1)/5
Let a be (2/(0 - 6))/((-6)/126). Determine k, given that 15644*k + a - 15640*k - 8*k**2 - 4*k**3 + 1 = 0.
-2, -1, 1
Let s = -4 - -19. Let w = -12 + s. Find t, given that 23*t**2 - 4*t**w + 9*t**3 - 58*t**2 + 25*t**2 + 10 - 5*t = 0.
-1, 1, 2
Find c such that -c**3 + 97/8*c**2 - 1/8*c**4 + 117/2 + 113/2*c = 0.
-13, -2, 9
Let h be (-80)/(-24) + (4/(-6))/(-1). Let b = -46 + 48. Solve 3*s**4 - 4*s**3 + 6*s + 3*s**h + 70*s**2 - 6 - 74*s**2 - b*s**5 + 4 = 0.
-1, 1
Let a(z) be the third derivative of -2*z**7/105 + 437*z**6/30 - 9592*z**5/3 + 23762*z**4/3 + z**2 + 482. Find i, given that a(i) = 0.
0, 1, 218
Let b(m) be the third derivative of -m**8/56 + 5*m**7/14 - 47*m**6/20 + 77*m**5/20 + 63*m**4/4 - 36*m**3 - 5*m**2 - 2*m - 1. What is h in b(h) = 0?
-1, 1/2, 3, 4, 6
Let s(y) be the third derivative of -3*y**4 + 95*y**2 - 72*y**3 + 0 - 1/20*y**5 + 0*y. Suppose s(w) = 0. What is w?
-12
Let c(u) = 101*u + 4145. Let g be c(-41). Let v(p) be the second derivative of 0*p**2 + 0 + 1/50*p**6 - 12*p - 1/20*p**g + 0*p**3 + 0*p**5. Factor v(b).
3*b**2*(b - 1)*(b + 1)/5
Let u be (88/(-24) + (0 - -4))*15. Suppose -2*s + 7*s = -3*b + 13, 0 = -u*b + 5. Factor 2/7*o**s + 8/7*o + 8/7.
2*(o + 2)**2/7
Factor 220*y - 8177*y**3 + 5*y**4 + 8172*y**3 - 4*y**4 - 224 - 48*y**2.
(y - 8)*(y - 2)**2*(y + 7)
Suppose -4*j = -3*d - 24, -3*j + 5*d = 22 - 51. Solve -22/9*h**5 - 32/9*h**j + 0*h + 62/9*h**4 - 8/9*h**2 + 0 = 0 for h.
-2/11, 0, 1, 2
Suppose 216*r - 1816 = -1168. Factor 1/6*c**4 - 5/6 + c**r + 2/3*c**2 - c.
(c - 1)*(c + 1)**2*(c + 5)/6
Suppose 0 = -886*f + 809*f + 154. Find l such that 3/5 - 33/5*l - 15*l**3 + 21*l**f = 0.
1/5, 1
Let -27225/4 - 1/4*u**2 - 165/2*u = 0. Calculate u.
-165
Let h be -2*((-310)/(-20) + -18). Let z(u) be the first derivative of -84/5*u**h + 291/4*u**4 - 111/2*u**2 - 26*u**3 - 18*u - 34. Suppose z(x) = 0. What is x?
-2/7, -1/4, 1, 3
Factor 15/2 - 1/8*c**3 + 67/8*c + 3/4*c**2.
-(c - 12)*(c + 1)*(c + 5)/8
Let t = -2/26859 + 53728/134295. Factor 0 - t*w**2 - 22/5*w.
-2*w*(w + 11)/5
Let k(r) = -4*r - 34. Let a be k(-9). Let 20*s - 24*s**3 - 244*s**a - s**3 + 239*s**2 = 0. What is s?
-1, 0, 4/5
Let u(g) be the second derivative of 2 + 0*g**4 - 1/4*g**5 + 4*g + 2/3*g**3 + 0*g**2 + 0*g**6 + 1/42*g**7. What is p in u(p) = 0?
-2, -1, 0, 1, 2
Solve -96 + 86/3*f**3 - 386/3*f**2 - 2/3*f**5 + 2/3*f**4 + 196*f = 0 for f.
-8, 1, 2, 3
Factor 119*b**2 + 122*b**2 + 120*b**2 - 476*b**2 - 113*b + 116*b**2.
b*(b - 113)
Determine s so that -5749*s**2 - s**5 + 7*s**4 - 2*s**5 + 5734*s**2 + 7*s**3 + 4*s**5 = 0.
-5, -3, 0, 1
Suppose 0*v = 2*v - 46. Suppose 5*c + 13 = -2, -4*f - 3*c = -v. Factor 15*r**2 - 13*r + 5 - f*r**2 + 2*r**3 - r.
(r - 1)*(r + 5)*(2*r - 1)
Let o(s) = 14*s**3 - 113*s**2 - 105*s - 44. Let p(v) = 5*v**3 - 38*v**2 - 35*v - 16. Let c(z) = 4*o(z) - 11*p(z). Solve c(i) = 0.
-1, 0, 35
Let b(w) be the first derivative of w**3/6 + 879*w**2/2 + 772641*w/2 - 2334. Factor b(o).
(o + 879)**2/2
Let q(f) be the second derivative of f**4/12 + 200*f**3/3 + 20000*f**2 + 1670*f. Factor q(