n**4 = 0.
-1, 0, 2
Let k be (2200/(-48))/((-6303)/17190). Let k + 260*w + 726/5*w**2 + 1/5*w**4 + 52/5*w**3 = 0. Calculate w.
-25, -1
Let f(p) = p**3 + 5*p**2 - 4*p - 3. Let o(w) = 14*w**3 + 3950*w**2 + 1304*w - 6. Let h(k) = 2*f(k) - o(k). Find b such that h(b) = 0.
-328, -1/3, 0
Let g(v) = -3*v**4 + 6*v**3 + v**2 + 7*v - 5. Let l(m) = 5*m**4 - 8 + 17 - 1 - m**2 - 11*m - 9*m**3. Let x(a) = 8*g(a) + 5*l(a). Suppose x(o) = 0. What is o?
-1, 0
Let g(k) = -k**3 - 17*k**2 - 4*k - 64. Let d be g(-17). Solve 36*v**4 + 42*v**4 + 4*v**5 + 19*v**4 - 40*v**3 - 173*v**4 + 40*v**d = 0.
-1, 0, 10
Suppose 35*m - 23 = -f + 39*m, 4*m + 11 = -3*f. Suppose -2*b + 2 = -f*x - 0*x, b = -2*x + 8. Let -2/7*t - 2/7*t**x + 12/7 = 0. What is t?
-3, 2
Let o(i) = 3*i**3 + 8*i**2 + 99*i + 162. Let q(s) = -11*s**3 - 22*s**2 - 297*s - 486. Let k(c) = -14*o(c) - 4*q(c). Factor k(r).
2*(r - 18)*(r + 3)**2
Let h be 23*-5*(-2)/10. Suppose 0 = 5*j + h - 43. Factor 10*g**3 + 10*g**j - 18*g**3 + 0*g**5 - 2*g**5.
-2*g**3*(g - 4)*(g - 1)
Factor 8*f**2 - 588 + 2/9*f**3 + 42*f.
2*(f - 6)*(f + 21)**2/9
Let h(b) be the second derivative of 52*b + 1 - 1/54*b**4 - 400*b**2 - 40/9*b**3. Factor h(j).
-2*(j + 60)**2/9
Let f(x) = -13*x**2 + 29*x**2 - 9*x**2 - x**3 - 6*x**2 - 1. Let r(c) = -4*c + 2*c**3 + 6 + 12*c + 4*c**2 - 1. Let w(o) = -f(o) - r(o). Factor w(t).
-(t + 1)*(t + 2)**2
Suppose 5*d + 2*r - 34 = 0, -r + 26 = 4*d - 0*r. Solve -18*v + 96*v**3 - 144*v**2 + 4*v**5 + 24*v - d*v + 44*v**4 = 0 for v.
-6, 0, 1
Let r(q) be the first derivative of 7*q**5/10 + 3*q**4/4 - 14*q**3/3 - 6*q**2 - 114. Let r(y) = 0. Calculate y.
-2, -6/7, 0, 2
Let j(s) be the second derivative of 104/3*s**3 - 52 + 2*s + 106*s**2 - 1/3*s**4. What is v in j(v) = 0?
-1, 53
Let h be (-2 - -7) + 14 + (-3)/1. Let c be 7/2*h/28. What is s in -1/4*s**3 - 27/4*s - 9/4*s**c - 27/4 = 0?
-3
Let n(v) = v**2 - 31*v + 33. Let c be n(30). Suppose -2*l + 3*g = -c*l - 3, 0 = 3*l + 2*g + 2. Factor 0 + 0*u + l*u**2 - 1/7*u**5 + 4/7*u**4 - 3/7*u**3.
-u**3*(u - 3)*(u - 1)/7
Let c = 214 + -212. What is d in 3*d**3 - d**3 + 14*d + 2*d**c - 22*d**2 - 16*d + 20 = 0?
-1, 1, 10
Let b(q) be the first derivative of q**3/30 + 49*q**2/20 - 5*q - 2099. Let b(h) = 0. What is h?
-50, 1
Factor 1241/4*n + 11/2 - 113/4*n**2.
-(n - 11)*(113*n + 2)/4
Let d(j) = -3*j + 19. Let x be d(5). Let f(q) be the second derivative of 0*q**2 + x*q - 1/5*q**5 + 2/3*q**4 - 2/3*q**3 + 0. Factor f(t).
-4*t*(t - 1)**2
Let t(o) be the first derivative of o**6/2 + 21*o**5/5 + 12*o**4 + 12*o**3 - 4399. Factor t(m).
3*m**2*(m + 2)**2*(m + 3)
Let k(f) be the first derivative of 0*f + 3/10*f**4 + 0*f**3 + 1/75*f**5 - 23/2*f**2 - 32. Let v(s) be the second derivative of k(s). Let v(p) = 0. Calculate p.
-9, 0
Let k(f) = 2*f + 70. Let n be k(0). Let d = n - 50. Let -2 - d*o**2 - 9*o - 6 - 15*o**2 + 34*o**2 = 0. What is o?
-8, -1
Let a(k) be the first derivative of 26*k**4 - 24*k**3 + 6*k**2 - 4*k - 60. Let f(j) = -207*j**3 + 146*j**2 - 25*j + 7. Let h(l) = 7*a(l) + 4*f(l). Factor h(b).
-4*b*(5*b - 2)**2
Let w = -19255 - -19255. Let x(r) be the second derivative of w*r**2 - 1/66*r**4 + 1/33*r**3 - 1/110*r**5 + 0 + 1/165*r**6 + 2*r. Factor x(q).
2*q*(q - 1)**2*(q + 1)/11
Let 8/13*g**3 + 0 + 0*g - 8/13*g**4 + 0*g**2 - 30/13*g**5 = 0. What is g?
-2/3, 0, 2/5
Suppose -80*v + 508 = 196*v - 22*v. What is q in -2/11*q**v - 22 - 4*q = 0?
-11
Let b(n) be the first derivative of -1849*n**3/15 + 2236*n**2/5 - 2704*n/5 - 9144. Determine i so that b(i) = 0.
52/43
Let g = 8744/1599 + -605/533. Solve 16/3*d**5 + 118/3*d**2 + g*d + 0 + 107*d**3 + 232/3*d**4 = 0 for d.
-13, -1, -1/4, 0
Let z be ((-6)/70)/(-8 - ((-93)/(-90) + -9)). Let 0 + 4/7*u + 22/7*u**4 + 2*u**3 - 22/7*u**2 - z*u**5 = 0. What is u?
-1, 0, 2/9, 1
Suppose -5*i = -2*a - 22, 109 - 87 = 2*i - 2*a. Let p = -688/5 + 138. Factor 0*u - 8/5*u**2 + p*u**3 + i.
2*u**2*(u - 4)/5
Let p be 0 - ((-294)/210 - (-2)/5)/((-55)/(-220)). Let 9/2*m**2 + 3/4 - 3/8*m**3 - 3/2*m**p + 33/8*m = 0. Calculate m.
-1, -1/4, 2
Solve -1530 - 34*g**4 - 6*g**4 + 3903*g**3 - 6078*g**3 - 6405*g - 7010*g**2 = 0.
-51, -2, -1, -3/8
Let q be (-481)/(-1110) - 0 - 28/(-20). Solve 19/6*r + 3/2 + 1/6*r**3 + q*r**2 = 0.
-9, -1
Let j = 423 + 223. Let q = 8426/13 - j. Let 32/13*h**2 - 6/13*h**4 + q*h + 4/13*h**3 + 6/13 = 0. What is h?
-1, -1/3, 3
Let w(s) be the second derivative of s**4/12 - 37*s**3/42 + 5*s**2/7 + 1773*s. Factor w(p).
(p - 5)*(7*p - 2)/7
Let t = 2729003/148 + -18438. Let l = 3/74 + t. Solve -5/2*x**3 + l*x**4 + 5/2*x + 0*x**2 - 5/4 = 0 for x.
-1, 1
Let s(k) = -138*k**2 - 48972 + 1428*k + 234*k**2 - 134*k**2. Let x(p) = 8*p**2 - 286*p + 9794. Let f(z) = -6*s(z) - 28*x(z). Solve f(h) = 0.
70
Let p be ((-124)/62)/(-2 + -30). Let b(x) be the first derivative of -p*x**4 + 1/8*x**2 + 0*x + 1/10*x**5 - 17 - 1/6*x**3. Suppose b(m) = 0. What is m?
-1, 0, 1/2, 1
Let g(w) be the third derivative of -w**5/15 - 167*w**4 - 167334*w**3 + 264*w**2. Solve g(t) = 0 for t.
-501
Let r(l) be the first derivative of l**5/45 + l**4/9 - 226*l**3/9 + 670*l**2/9 - 667*l/9 + 454. Determine j, given that r(j) = 0.
-29, 1, 23
Suppose 59 - 217 = -148*d + 138. Factor 3/5*m**4 + 12/5*m**2 + d*m**3 + 6/5*m + 1/5.
(m + 1)**3*(3*m + 1)/5
Find u, given that 183*u + 21/2*u**2 - 108 = 0.
-18, 4/7
Let g(l) be the second derivative of -45*l + 1/33*l**3 + 1/66*l**4 + 0 - 2/11*l**2. Solve g(q) = 0 for q.
-2, 1
Suppose 15*j + 134*j - 312 + 14 = 0. Factor 6/19*i - 2/19 - 6/19*i**j + 2/19*i**3.
2*(i - 1)**3/19
Let k(d) be the first derivative of 3*d**6/2 - 48*d**5/5 + 79*d**4/4 - 52*d**3/3 + 6*d**2 - 1966. Solve k(z) = 0 for z.
0, 2/3, 1, 3
Let z(s) be the third derivative of -s**6/540 + 43*s**5/270 + 749*s**4/108 + 931*s**3/9 + s**2 - 64. Factor z(u).
-2*(u - 57)*(u + 7)**2/9
What is t in -1/3*t**2 + 44*t - 1452 = 0?
66
Let p = 110 - 311/3. Let f = 101/15 - p. Factor f*w**2 - 1 + 9/5*w.
(w + 5)*(2*w - 1)/5
Let f(o) = 1089*o**2 + 343*o + 78. Let h(l) = -379*l**2 - 114*l - 27. Let v(m) = -4*f(m) - 11*h(m). Factor v(t).
-(11*t + 5)*(17*t + 3)
Find j, given that 35/2*j + 1/4*j**2 - 539/4 = 0.
-77, 7
Let -736898/9 - 2428/9*z - 2/9*z**2 = 0. Calculate z.
-607
Let v(o) be the third derivative of o**8/840 + 11*o**7/525 + 19*o**6/300 + 3*o**5/50 + 1860*o**2. Find z such that v(z) = 0.
-9, -1, 0
Let x(w) be the second derivative of 5*w**4/3 + 1658*w**3/3 - 332*w**2 + 5941*w. Solve x(v) = 0.
-166, 1/5
Let i(f) = 7*f + 14*f - 25*f**2 + 24*f**2 + 6*f. Let n be i(27). Find w, given that 0 - 1/3*w**3 + 1/3*w + n*w**2 = 0.
-1, 0, 1
Let w be 119/(-7)*(-64)/544. Let i(t) be the first derivative of -8/21*t**3 - 1/42*t**6 + 2/35*t**5 + 2/7*t**w - 23 + 0*t + 3/28*t**4. Solve i(f) = 0.
-2, 0, 1, 2
Let j(h) be the first derivative of -3*h**4/16 + 62*h**3 + 747*h**2/8 + 2994. Factor j(m).
-3*m*(m - 249)*(m + 1)/4
Let h(n) be the second derivative of -2*n**7/21 + 14*n**6/3 - 187*n**5/5 - 2527*n**4/3 + 10960*n**3/3 - 5600*n**2 - 5*n - 161. Find z such that h(z) = 0.
-7, 1, 20
Let w(b) be the second derivative of -3*b**5/80 + 123*b**4/4 + 493*b**3/8 - 2253*b. What is o in w(o) = 0?
-1, 0, 493
Let l(r) be the first derivative of -r**4/18 - 38*r**3/27 + 20*r**2/9 + 3101. Factor l(o).
-2*o*(o - 1)*(o + 20)/9
Factor 11/2*g - 1/2*g**2 + 76.
-(g - 19)*(g + 8)/2
Let s(x) be the second derivative of x**6/165 + 175*x**5/22 + 31828*x**4/11 - 63948*x**3/11 - 5261*x. Find h such that s(h) = 0.
-438, 0, 1
Let j(w) be the third derivative of -w**11/166320 + w**9/15120 - w**7/2520 - 107*w**5/60 + 4*w**2 + 3*w. Let f(t) be the third derivative of j(t). Factor f(p).
-2*p*(p - 1)**2*(p + 1)**2
Factor -1596/13*n + 2/13*n**2 + 318402/13.
2*(n - 399)**2/13
Let m(o) = o. Let y(i) = 2*i**5 - 4*i**4 + 4*i**2 - 6*i. Let r = -74 - -87. Let g = -14 + r. Let d(w) = g*y(w) - 4*m(w). Factor d(h).
-2*h*(h - 1)**3*(h + 1)
Let u be (-24 + 27)*1/3. Suppose -t + 0*t + 2 = 0. Factor 2 + 5*o**2 + 14*o + 3 + u + 5*o**2 + t*o**3.
2*(o + 1)**2*(o + 3)
Let m(y) be the first derivative of -y**4/8 + 9*y**3 - 413*y**2/4 + 180*y + 3134. Solve m(b) = 0 for b.
1, 8, 45
Let w = -49/172 - 76565/516. Let z = -2224/15 - w. Solve 2/5*h**2 - 2/5 + 2/5*h**3 - z*h = 0.
-1, 1
Let s(h) be the second derivative of -1 + 2/7*h**4 - 9*h + 1/35*h**5 + 22/21*h**3 + 12/7*h**2. Facto