g + 4*g**i - 25 + 8*g - 23.
4*(g - 12)*(g + 1)
Find b such that -277*b**2 + 576*b + 2*b**3 + 1714 + 343*b**2 - 202 = 0.
-21, -6
Suppose 29 + 389*q**2 + 412*q**2 - 33 - 54*q - 176*q**3 - 92 - 475*q**3 = 0. What is q?
-2/7, 16/31, 1
Suppose -2*m - 2*w + 18 = 0, -3 = -m - w - 3*w. Suppose 2*l - 15 = -m. Find p, given that -3*p**3 - 7*p**3 - 35*p**l - 4*p**4 + 19*p**4 + 0*p**3 - 10*p = 0.
-1, -1/3, 0, 2
Let q = -56 - -20. Let x = q - -38. Factor x - 4*r**2 - 6 + 300*r - 292*r.
-4*(r - 1)**2
Let y(i) = -i**2 - 711*i - 64626. Let d be y(-107). Solve 5 + 1/2*s**d + 7/2*s = 0.
-5, -2
Let h be (13 + -15)/(0 + 4/(-14)). Suppose 3*x - h = d, -5*x = -14 - 1. Factor 4*i**4 - 6*i**d - 7*i**3 + 0*i**3 - 7*i**4 - 2*i**3.
-3*i**2*(i + 1)*(i + 2)
Let y be ((-297)/4)/(-9) + 3/(-12). Let -178 + 91 - 12*b + 105 - y*b**2 - 6*b = 0. What is b?
-3, 3/4
Let n(r) be the third derivative of r**5/30 + 1027*r**4/2 + 3164187*r**3 - r**2 + 6*r + 1. What is w in n(w) = 0?
-3081
Let 86*y**3 - 28/3*y**4 + 332/3*y**2 - 560/3*y + 0 - 2/3*y**5 = 0. Calculate y.
-20, -2, 0, 1, 7
Let f = -330 - -332. Factor 5*k - 8*k**3 - 3*k**4 - 4*k**f + 1018 - k**4 + 3*k - 1012 + 2*k**4.
-2*(k - 1)*(k + 1)**2*(k + 3)
Let t(k) be the second derivative of -31 - 5/6*k**4 - 1/42*k**7 + 4*k**2 + 1/15*k**6 - 2/3*k**3 + 1/4*k**5 - k. Solve t(d) = 0 for d.
-2, -1, 1, 2
Find x, given that -26*x**3 + 6*x**3 + 4*x**3 + 2*x**3 - 69*x - 60*x**2 + 5*x**3 + 30 = 0.
-5, -2, 1/3
Suppose -58*o = -67*o + 9720. Let v = o + -2151/2. Solve -d**5 - 5*d**3 + 5/2*d**2 + 2 + 6*d - v*d**4 = 0.
-2, -1, -1/2, 1
Let g(m) be the second derivative of m**6/6 + 139*m**5/4 + 2213*m. Suppose g(k) = 0. Calculate k.
-139, 0
Determine j, given that 5*j**4 - 25205*j + 24495*j**2 + 1989*j**3 - 1284*j**3 + 0*j**4 = 0.
-71, 0, 1
Find p such that -6700*p**2 + 6295*p**2 + 58*p + 540 - 70*p - 126*p**3 + 3*p**4 = 0.
-2, 1, 45
Let o(y) = y**3 + 41*y**2 - 392*y - 16069. Let m be o(-41). Determine k so that -67/3*k + 11 + 35/3*k**2 - 1/3*k**m = 0.
1, 33
Let v(x) = -38*x + 147. Let q be v(-7). Factor 948 + 12*k - 475 - q - 3*k**3 - 15*k**2.
-3*(k - 2)*(k + 2)*(k + 5)
Let u be 1350/1053*(4 + 85/(-25)). Factor 4/13*h + 18/13*h**2 + 0 - u*h**3.
-2*h*(h - 2)*(5*h + 1)/13
Let r(s) be the second derivative of -s**6/240 + s**5/24 - s**4/8 + 55*s**2 - 57*s + 1. Let d(f) be the first derivative of r(f). Suppose d(a) = 0. What is a?
0, 2, 3
Let h(i) be the third derivative of -16/63*i**7 + 28 - 81920/9*i**4 - 128/9*i**6 - 1048576/9*i**3 - 4096/9*i**5 + 2*i**2 + 0*i - 1/504*i**8. Factor h(l).
-2*(l + 16)**5/3
Let y = -30362 + 30364. Let m = 42 - 165/4. Factor -3/2*n + 15/4*n**y + 0 - 9/4*n**3 - m*n**4 + 3/4*n**5.
3*n*(n - 1)**3*(n + 2)/4
Solve -8649/4 + 19623/4*p + 987/2*p**3 + 171/4*p**4 + 3/4*p**5 - 6561/2*p**2 = 0 for p.
-31, 1, 3
Factor -145*w**3 + 512*w**2 - w**4 + 5*w**3 - 261*w + 5*w**4 - 235*w.
4*w*(w - 31)*(w - 2)**2
Let k be -12 + 126/36*9. Let 33/2*q**3 - k*q**2 + 3/2*q**4 - 33/2*q + 18 = 0. What is q?
-12, -1, 1
Suppose 0*l = 4*l - 8. Suppose -38*h - 12*h + 2520 = 6*h. Suppose 45*j**2 + 14*j**3 - 72*j**2 + 4*j + h*j**l = 0. Calculate j.
-1, -2/7, 0
Suppose -118*t - 75 = -665. Let n(c) be the second derivative of -14/3*c**3 - 4*c**2 - 46*c + 19/20*c**t + 1/2*c**4 - 7/30*c**6 + 0. Factor n(f).
-(f - 2)**2*(f + 1)*(7*f + 2)
Let x(l) = 28*l**2 + 36*l + 32. Let g(r) = r**2 + r + 1. Let v(d) = -3*d**2 + 79*d - 2. Let w be v(26). Let p(h) = w*g(h) - x(h). Determine t so that p(t) = 0.
-2, -1
Let y(s) = -546*s + 26754. Let b be y(49). Factor 4/3*h - 2/3*h**2 + b.
-2*h*(h - 2)/3
Let r be -1 - (-1449)/126*1/((-5)/(-2)). Let d(k) be the first derivative of r*k**3 - 4/5*k + 32 + 3*k**2. Factor d(g).
2*(3*g + 2)*(9*g - 1)/5
Let k be (-13)/4 - 6/(-24). Let n(a) = a**2 + a. Suppose 2*s - 7 = -6*x + 3*x, 8 = -5*s + x. Let i(f) = -4*f**2 + 3*f. Let z(v) = k*n(v) + s*i(v). Factor z(l).
l*(l - 6)
Let i(h) be the third derivative of -32/3*h**3 + 0*h**4 - h**2 - 2/105*h**7 + 0 + 8/15*h**5 + 0*h**6 - 9*h. Let i(d) = 0. Calculate d.
-2, 2
Let n = 1422845/853698 + -5/284566. Factor -n*i**3 - 2*i**2 + 0*i + 0 - 1/3*i**4.
-i**2*(i + 2)*(i + 3)/3
Let f(i) be the first derivative of 15*i**3 - 305*i**2 - 280*i - 782. Find s such that f(s) = 0.
-4/9, 14
Let h(n) be the third derivative of -3*n**2 - 37/1365*n**7 - 3/52*n**6 + 1/3*n**4 + 4/13*n**3 + 5/78*n**5 - 1/312*n**8 + 0 + 8*n. Suppose h(x) = 0. What is x?
-3, -2, -1, -2/7, 1
Let o = -354353 + 354356. Factor 8/7*j + 6/7*j**2 - 24/7 - 2/7*j**o.
-2*(j - 3)*(j - 2)*(j + 2)/7
Let h(q) = -4 - 2*q**2 - q**2 + 5*q**2. Let r = 800 - 801. Let x(v) = v. Let w(k) = r*h(k) + 2*x(k). Determine l, given that w(l) = 0.
-1, 2
Suppose -3/7*u**3 - 140625/7*u + 5859375/7 + 1125/7*u**2 = 0. Calculate u.
125
Let l = 9695 + -290849/30. Let q(s) be the first derivative of -15 - 2/45*s**3 + l*s**4 - 1/15*s**2 + 2/15*s. Factor q(c).
2*(c - 1)**2*(c + 1)/15
Let f(r) = -5686*r - 79599. Let s be f(-14). Suppose -1/2*w**2 - 4 - 1/2*w**3 + s*w = 0. Calculate w.
-4, 1, 2
Let q(b) be the first derivative of b**5/50 + 27*b**4/40 + 86*b**3/15 + 99*b**2/5 + 152*b/5 - 10011. What is o in q(o) = 0?
-19, -4, -2
Let d = 55 - 49. Let r be d/(-12) + 1/2 + 558. Suppose r*z**3 - 478*z**3 + 20*z**2 - 8*z**5 - 27*z**5 + 25*z**4 = 0. Calculate z.
-1, -2/7, 0, 2
Let u be 0 - -1*(-2)/(-12). Suppose 2*t = -3*l - 34, 5*t - 740*l - 34 = -739*l. Solve u*q**3 + 0 + 0*q + q**2 - 1/6*q**t = 0.
-2, 0, 3
Suppose 0 = i - 4*k - 5, 0*k = -i - k + 15. Let f = i - -40. Factor a**4 - f*a**2 + 59*a**2 - 2*a**4 - 3*a**3 - 2*a**4.
-3*a**2*(a - 1)*(a + 2)
Let k(l) be the third derivative of -l**6/600 + 17*l**5/60 - 241*l**4/60 + 316*l**3/15 + 2*l**2 - 28*l + 20. Factor k(q).
-(q - 79)*(q - 4)*(q - 2)/5
Let h(z) be the third derivative of z**5/15 - 137*z**4/3 - 550*z**3/3 - z**2 + 376. Factor h(m).
4*(m - 275)*(m + 1)
Let p = 553 - 179. Find b, given that b**2 + 2*b**2 + p*b**3 + 7*b**2 - 378*b**3 - 2*b**4 + 12*b = 0.
-3, -1, 0, 2
Let b(f) be the second derivative of -f**7/3360 - f**6/360 - f**5/160 - 70*f**3/3 + 120*f. Let v(h) be the second derivative of b(h). Factor v(p).
-p*(p + 1)*(p + 3)/4
Let g(y) be the third derivative of y**5/20 - 57*y**4/8 + 55*y**3 - 422*y**2 + y. Factor g(d).
3*(d - 55)*(d - 2)
Suppose -45*c + 43*c + 4*h = -12, 0 = -c - 2*h - 2. Let 7*n - 50 + 2*n + 35*n + 6*n - c*n**3 + 2*n**2 = 0. What is n?
-5, 1, 5
Let a(f) be the second derivative of -11/2*f**4 - 98*f + 0*f**2 - 3/20*f**5 - 121/2*f**3 + 0. Solve a(t) = 0 for t.
-11, 0
Let s(z) = 4*z + 17*z + 5*z + 55 - 10*z**2 + 11*z**2. Let o(d) = 3*d**2 + 79*d + 161. Let t(y) = -6*o(y) + 17*s(y). Solve t(q) = 0.
-31, -1
Let w = 10565 - 10563. Let z(o) be the second derivative of -8/21*o**3 - 1/42*o**4 - 16/7*o**w - 20*o + 0. What is y in z(y) = 0?
-4
Let t(s) be the first derivative of -s**4 + 16*s**3/3 - 8*s**2 - 996. Factor t(f).
-4*f*(f - 2)**2
Let b(k) = -k**3 + 12*k**2 + 46*k - 22. Let y be b(15). Let n be y + (-76)/(-12) + 1. Factor n*t**2 - 2*t + 3.
(t - 3)**2/3
Suppose 4 = 5*i - 10*s + 6*s, 24 = 5*i + s. Solve -43*l**i - 12*l**5 + 1 - 92*l**2 - 1 - 24*l - 25*l**4 - 124*l**3 = 0.
-3, -1, -2/3, 0
Let z = 35 - -38. Let i = z - 65. Solve -13*s**3 + 15*s**2 - i*s**3 - 12*s**2 = 0 for s.
0, 1/7
Let x = -150 + 154. Suppose -14*w**3 + 4*w**2 - 5*w**3 - 10*w**x + 13*w**3 = 0. Calculate w.
-1, 0, 2/5
Solve 132*g**3 - 17*g**5 - 8879013*g**2 + 8878877*g**2 - 48*g + 3*g**5 + 66*g**4 = 0 for g.
-2, -2/7, 0, 1, 6
Factor 98/13*n**3 - 100/13*n**2 + 2/13*n**4 + 0 + 0*n.
2*n**2*(n - 1)*(n + 50)/13
Let h(y) = 8*y**3 - 4*y**2 + 4*y. Let b be h(3). Let a = 7599 - 7596. Let 0*r**3 - 50*r - b - 94*r - 6*r**2 - a*r**3 - 30*r**2 = 0. What is r?
-4
Let i be ((-342)/(-36) + -5)*20/(-2). Let t be (-63)/i*4/7. Let t*c + 6/5*c**3 + 0 - 2*c**2 + 2/5*c**4 - 2/5*c**5 = 0. Calculate c.
-2, 0, 1
Let u(b) be the third derivative of b**6/60 - 8*b**5/5 - 36*b**4 - 896*b**3/3 + 5877*b**2. Factor u(z).
2*(z - 56)*(z + 4)**2
Let v(n) be the first derivative of 5/4*n**4 + 10*n - 3/20*n**5 + 20 - 4*n**3 + 6*n**2. Let h(c) be the first derivative of v(c). Let h(u) = 0. Calculate u.
1, 2
Let m(q) = 5*q**2 + 7*q + 6. Suppose 145 = 8*p - 399. Let h(i) = 56*i**2 + 76*i + 64. Let w(u) = p*m(u) - 6*h(u). Factor w(j).
4*(j + 2)*(j + 3)
Let z(i) be the firs