n a*i + 4/3*i**3 + 0 + 2/3*i**4 + 2/3*i**2 = 0?
-1, 0
Let h(k) be the first derivative of k**6/33 - 76*k**5/55 + 86*k**4/11 - 156*k**3/11 + 9*k**2 - 4578. Solve h(n) = 0.
0, 1, 3, 33
Solve g**3 + 438*g**2 + 1100*g - 906*g**2 + 190*g**2 - 1096 = 0.
2, 274
Suppose -12 = 303*k - 297*k. Let y(d) = -14*d**3 + 19*d**2 - 24*d + 12. Let t(v) = v**3 + v - 1. Let h(a) = k*y(a) - 14*t(a). Suppose h(c) = 0. What is c?
5/7, 1
Let m(v) = -19*v**3 - 115*v**2 + 804*v - 1508. Let w(k) = 13*k**3 + 115*k**2 - 803*k + 1506. Let z(r) = 3*m(r) + 4*w(r). Suppose z(f) = 0. Calculate f.
3, 10
Let t(z) be the second derivative of 31*z - 3 + 29/18*z**3 - 1/36*z**4 - 14/3*z**2. Factor t(k).
-(k - 28)*(k - 1)/3
Determine l, given that 3*l**4 - 107800*l**2 - 2342*l**3 - 287875*l**2 - 5*l**4 - 291115*l**2 - 684450*l = 0.
-585, -1, 0
Let p(j) be the first derivative of 0*j + 1/42*j**4 + 2*j**2 + 0*j**3 - 11 + 1/210*j**5. Let o(c) be the second derivative of p(c). Factor o(d).
2*d*(d + 2)/7
Let n = 241 - 238. Factor 3*h**2 - 718*h**5 - 11*h**2 + 2*h + 12*h**n + 714*h**5 - 2*h.
-4*h**2*(h - 1)**2*(h + 2)
Let w(v) be the second derivative of 18*v**2 - 1/16*v**4 + 47/8*v**3 + 0 + 123*v. Factor w(o).
-3*(o - 48)*(o + 1)/4
Suppose 5*p = -187 + 462. Let i = -53 + p. Factor -18*w + 16*w - 5*w**2 + 3*w**i.
-2*w*(w + 1)
Let z = -710 - -825. Determine x so that 5*x**2 - 110*x**2 + z*x**3 - 82*x**2 - 55 + 94*x - 20*x**4 - 38*x**2 + 91*x = 0.
1, 11/4
Let z be (-12)/(3432/649) + (-2 - -5). Let y = z + -233/390. Factor 0*s - 2/5*s**3 + 4/15*s**2 + 0 + y*s**4.
2*s**2*(s - 2)*(s - 1)/15
Let v(r) be the first derivative of -5*r**4/48 + 425*r**3/12 - 36125*r**2/8 - 15*r - 293. Let m(o) be the first derivative of v(o). Let m(q) = 0. What is q?
85
Let n(t) be the first derivative of -7/2*t**2 - 4/3*t**3 + 109 + 10*t + 1/4*t**4. Factor n(i).
(i - 5)*(i - 1)*(i + 2)
Factor -252150 + 3/2*k**3 + 253380*k - 2463/2*k**2.
3*(k - 410)**2*(k - 1)/2
Let u be (68/(-51))/((-3)/9). Factor 108 + 440*f**2 - 108*f - 198*f**2 - 206*f**2 - u*f**3.
-4*(f - 3)**3
Let -11*t**4 - 3/2*t**5 + 58*t**2 - 27 + 29*t**3 - 15/2*t = 0. What is t?
-9, -1, 2/3, 3
Suppose -1617*r + 1614*r = -5*p + 19, -3*p + 4*r = -18. Solve -3/8*z**3 + 0 - 15/4*z**p - 9*z = 0 for z.
-6, -4, 0
Suppose 126 = -9*i, -6*g + 7*g + 2*i = -25. Solve 8/17*c + 2/17*c**5 - 6/17*c**4 + 6/17*c**2 - 10/17*c**g + 0 = 0.
-1, 0, 1, 4
Let c = 55 + -155/3. Let y = -1080 + 1083. Find i such that 0 + 2*i + 2/3*i**4 + 2/3*i**y - c*i**2 = 0.
-3, 0, 1
Let v(l) be the first derivative of -52/3*l + 239 + 2/9*l**3 - 11/3*l**2. Factor v(u).
2*(u - 13)*(u + 2)/3
Let 14/3*o**2 - 8/3*o + 0 - 14/3*o**4 + 8/3*o**3 = 0. What is o?
-1, 0, 4/7, 1
Suppose -3*r**3 - 25*r**2 + 8 - 5*r**2 + 39*r + 29 + 29 = 0. What is r?
-11, -1, 2
Let m be (2 + 4)*23/((-1725)/(-50)). Let h(b) be the third derivative of -1/3*b**3 + 0 + 0*b + 10*b**2 + 1/30*b**5 + 0*b**m. Factor h(j).
2*(j - 1)*(j + 1)
Determine m, given that 41/4*m**4 + 3/2*m**5 + 2 + 25/4*m - 21/4*m**2 - 59/4*m**3 = 0.
-8, -1/2, -1/3, 1
Let x = -554/9 + 2779/45. Let u(j) be the first derivative of 1/6*j**2 - 1/3*j**3 - 10 + x*j**5 - 1/12*j**4 + 0*j. Factor u(h).
h*(h - 1)*(h + 1)*(3*h - 1)/3
Suppose -217*s = -217*s + 4*m - 32, 3*s + 3*m - 51 = 0. What is r in -21/2*r - 55/2*r**2 + 37/2*r**4 - 7*r**5 + s + 35/2*r**3 = 0?
-1, -6/7, 1/2, 1, 3
Let b(r) be the third derivative of -r**5/60 + r**4/24 + r**3/6 - 52*r**2. Let u(c) = -4*c**2 - 295*c + 81. Let s(p) = 6*b(p) + 2*u(p). Factor s(l).
-2*(l + 42)*(7*l - 2)
Factor -9*j**4 + 8*j**3 - 419*j**3 - 648*j**2 - 20250 - 5697*j**2 - 42805*j + 8380*j.
-3*(j + 15)**3*(3*j + 2)
Let f(k) be the second derivative of -5*k**4/24 + 240*k**3 - 103680*k**2 - 602*k. Factor f(n).
-5*(n - 288)**2/2
Let j = -22/22967 + 91978/114835. Determine z so that -16/5 - 16/5*z + 4/5*z**2 + j*z**3 = 0.
-2, -1, 2
Let y = -56/691 + 60374/114015. Let a = y - 4/15. Factor -a*i**2 + 4/11 - 2/11*i.
-2*(i - 1)*(i + 2)/11
Let i(s) be the third derivative of 0*s - 2*s**3 + 3/28*s**8 - 2*s**5 - 23*s**2 + 22/35*s**7 + 1/3*s**6 + 0 - 19/6*s**4. Determine o so that i(o) = 0.
-3, -1, -1/3, 1
Let q(w) = 2*w**3 - 25*w**2 + 69*w - 41. Let a(f) = f**3 - 26*f**2 + 69*f - 40. Let i = 214 + -210. Let b(v) = i*q(v) - 5*a(v). Factor b(c).
3*(c - 1)**2*(c + 12)
Let j(h) = -4*h**4 + h**3 - h**2 + 2*h + 1. Let y(k) = -11*k**4 + 39*k**3 + 267*k**2 - 2694*k - 30372. Let o(b) = 3*j(b) - y(b). Factor o(n).
-(n - 9)*(n + 15)**3
Suppose -4*b + 4*o - 2944 = 0, b - 13*o + 9*o + 733 = 0. Let n = b - -739. What is j in -1/3*j**n - j + 4/3 = 0?
-4, 1
Let j(i) = i**3 - 23*i**2 - 224*i + 5590. Let t be j(21). Find c, given that -1/4*c**t + 0 + 3/4*c**3 - 2*c + 3/2*c**2 = 0.
-2, 0, 1, 4
Suppose -11*q + 371 + 454 = 0. Find u such that 38 + 120*u - 46 - 32 - 5*u**2 - q = 0.
1, 23
Let k(f) = -127*f + 9401. Let l be k(74). Let -5/2 - 1/2*w**5 - 5*w**l + 7/2*w**4 - w**2 + 11/2*w = 0. Calculate w.
-1, 1, 5
Let a(g) = -8*g + 21. Let k be a(1). Factor 12*m**5 + m**3 - 13*m**3 - 33*m**5 + 0*m**3 + k*m**4 + 35*m**4.
-3*m**3*(m - 2)*(7*m - 2)
Factor 290*v**2 + 10*v**3 - 645*v**2 - 295*v**2 - 4*v**3 - 4*v**3.
2*v**2*(v - 325)
Factor 11/4*d**2 + 0 - 3/4*d.
d*(11*d - 3)/4
Suppose -4*s = 7337 - 7353. Let l(v) be the first derivative of 4/5*v**3 - 12/25*v**5 - 1/5*v**4 + s - 2/15*v**6 + 0*v + 4/5*v**2. What is c in l(c) = 0?
-2, -1, 0, 1
Let s(a) = a**2 - a - 1. Let v = -169 + 175. Let x(c) = 3*c**3 + 24*c**2 + 102*c + 102. Let i(k) = v*s(k) + x(k). Let i(d) = 0. What is d?
-4, -2
Let j be -9 - (-3 - -3)/(-2). Let w(d) = d + 14. Let a be w(j). Let -72*s**2 + 9*s + a*s**4 + 51*s**3 + 0*s**4 + 30*s - 17*s**4 - 6 = 0. Calculate s.
1/4, 1, 2
Suppose 11*z = 3*z + 16. Suppose -4*s + 2 = -4*h - 2, -z*s - 3 = -3*h. Factor s*g**4 - 6*g**3 - 11*g**2 - 4*g**4 + 9*g**2 + 6*g.
2*g*(g - 3)*(g - 1)*(g + 1)
Suppose 2*j - 10*h - 22 = -7*h, 2*h + 8 = 0. Let o be j/(3 - (-4 + 8)/8). Determine p so that -3*p - 3/2*p**o - 3/2 = 0.
-1
Let a(y) = 1236*y + 801452. Let q be a(-607). Factor -96*g**2 + 4/5*g**3 - q + 3840*g.
4*(g - 40)**3/5
Let g be 268/(-57) - (-8)/(32/20). Let p = 9809/399 - g. Suppose -p*s - 2/7*s**5 - 212/7*s**2 - 50/7 - 26/7*s**4 - 116/7*s**3 = 0. What is s?
-5, -1
Let r(y) be the third derivative of 0*y + 0 + 7/96*y**4 - 1/8*y**3 - 104*y**2 - 1/48*y**5 + 1/480*y**6. What is b in r(b) = 0?
1, 3
Let m be (-13)/221 + (-4220)/(-8160). Let s(p) be the third derivative of 1/210*p**7 + m*p**4 + 0*p - 1/20*p**5 + p**2 - p**3 - 1/40*p**6 + 0. Factor s(h).
(h - 3)*(h - 1)**2*(h + 2)
Let p be (-1)/(-40) + (-1365031)/(-22760). Factor 3872/3 - 2640*z + 2/3*z**4 - p*z**3 + 4226/3*z**2.
2*(z - 44)**2*(z - 1)**2/3
Let i = 675/19 - 9973/285. Let x(n) be the first derivative of -1/15*n**6 - 23 - 1/5*n**4 + i*n**3 + 0*n - 8/25*n**5 + 3/5*n**2. Determine a so that x(a) = 0.
-3, -1, 0, 1
Find f such that -12/5*f**2 - 10 - 9*f - 1/5*f**3 = 0.
-5, -2
Suppose 14*s + 2*c = 13*s - 6, 0 = 3*s + c + 3. Let w = -8/7 - -38/21. Factor s - w*o**2 + 0*o - 1/3*o**3.
-o**2*(o + 2)/3
Let z(n) be the third derivative of -n**10/90720 - n**9/15120 + n**7/1890 + 319*n**4/24 - 90*n**2 - 1. Let d(t) be the second derivative of z(t). Factor d(u).
-u**2*(u - 1)*(u + 2)**2/3
Let u be (3360/(-49))/5*(-686)/245. Let -240*s**4 + 18/5 - u*s**5 - 39*s - 36*s**3 + 123*s**2 = 0. What is s?
-6, -1, 1/4
Suppose 0 = 19*d + 110*d - 387. Let w(y) be the second derivative of -37*y - 2/3*y**d + 0*y**2 + 1/10*y**5 + 1/6*y**4 + 0. Factor w(m).
2*m*(m - 1)*(m + 2)
Let t(y) be the third derivative of -y**7/84 - 11*y**6/48 + 25*y**5/4 + 105*y**4/4 - 1350*y**3 - y**2 + 5512. Find w, given that t(w) = 0.
-18, -5, 6
Factor -13/6*t**3 - 5 - 71/6*t - 53/6*t**2 - 1/6*t**4.
-(t + 1)**2*(t + 5)*(t + 6)/6
Let s(j) = 3*j**2 - 18*j - 25. Let t(m) = 18*m**2 - 90*m - 124. Let x = -290 + 279. Let q(b) = x*s(b) + 2*t(b). Solve q(l) = 0.
-3
Let s be 16/10 + (24/27)/(110/(-88)). Find c, given that -2/9*c**2 + 2/3*c + s = 0.
-1, 4
Let w(h) be the second derivative of -h**7/7 - 109*h**6/75 + 21*h**5/10 + 43*h**4/10 - 62*h**3/15 - 48*h**2/5 + 3266*h. Suppose w(x) = 0. Calculate x.
-8, -2/3, -3/5, 1
Suppose 28*z = 26*z + 6. Factor 18*k**3 - 85*k**2 + 3*k**3 - 3*k**z - 50*k + 17*k**3 + 10*k**4.
5*k*(k - 2)*(k + 5)*(2*k + 1)
Let i(m) be the third derivati