*2/9
Let v(s) = 15*s**3 - 25*s**2 + 11*s + 5. Let q be (-64)/10 - (-8)/20. Let m(h) = 44*h**3 - 74*h**2 + 33*h + 14. Let a(d) = q*m(d) + 17*v(d). Factor a(c).
-(c - 1)**2*(9*c - 1)
Suppose 2*i + 4*i - 5*i = 0. Let -c - 4*c**2 + 3*c**2 + i*c + 36 - 30 = 0. What is c?
-3, 2
Let u(b) be the third derivative of b**5/110 - 587*b**4/132 - 196*b**3/33 - 616*b**2. Suppose u(g) = 0. Calculate g.
-1/3, 196
Let 41 + 79*a**3 + 724*a - 329 - 1906*a**2 + 73*a**3 + 1320*a**2 - 2*a**4 = 0. What is a?
1, 2, 72
Suppose 0 = 71*x + 19*x - 1847 + 1487. Let l(v) be the second derivative of -1/3*v**2 - 5/36*v**x - 7/18*v**3 + 0 - 11*v. Find q such that l(q) = 0.
-1, -2/5
Let f(y) = -3*y**2 + 69*y + 7560. Let w be f(-40). Solve w + 24/13*q + 16/13*q**4 + 2/13*q**5 + 56/13*q**2 + 46/13*q**3 = 0 for q.
-3, -2, -1, 0
Let z be (-4 + 385/90)*(-29)/5. Let v = z + 19/9. Factor -v*l**2 + 1/4*l**3 + 1/2 - 1/4*l.
(l - 2)*(l - 1)*(l + 1)/4
Let u = -3141/29 - -365380/3393. Let b = -7/39 - u. Suppose -2/3*z**2 + 0 - b*z**3 + 0*z + 2/9*z**4 = 0. Calculate z.
-1, 0, 3
Let u(r) = 9*r**2 + 77*r + 531. Let w(c) = -4*c**2 - 38*c - 267. Let d(y) = 6*u(y) + 14*w(y). Factor d(g).
-2*(g + 12)*(g + 23)
Let a = 435 - 431. Let w(o) be the second derivative of 0*o**2 - 1/3*o**a - 4*o + 0*o**3 - 1/20*o**5 + 0. Let w(k) = 0. What is k?
-4, 0
Let z(u) be the third derivative of u**10/75600 + u**9/15120 - u**8/3360 + 11*u**5/15 - 174*u**2. Let s(o) be the third derivative of z(o). Factor s(n).
2*n**2*(n - 1)*(n + 3)
Suppose 81 = 43*y - 187 + 10. Let p(c) be the third derivative of -2/15*c**5 - 16*c + 0 - 2*c**2 + 0*c**3 - 1/60*c**y - 1/4*c**4. Factor p(i).
-2*i*(i + 1)*(i + 3)
Find y such that 327/4 + 1473/2*y + 27/2*y**3 + 5913/4*y**2 = 0.
-109, -1/3, -1/6
Let x(m) be the second derivative of -2*m**6/75 + 33*m**5/50 + 17*m**4/30 - 8245*m. Factor x(b).
-2*b**2*(b - 17)*(2*b + 1)/5
Let b(x) be the first derivative of -2*x**5/5 + 7*x**4/2 + 46*x**3/3 - 255*x**2 + 900*x - 121. Determine m so that b(m) = 0.
-6, 3, 5
Suppose -8*c + 0 - 40/3*c**2 - 6*c**3 - 2/3*c**4 = 0. What is c?
-6, -2, -1, 0
Let p(w) = w**3 + w**2 + 1. Let t(j) = j + 2. Let a(y) = -y + 1. Let u be a(-5). Suppose -u*f + 4 = -8*f. Let d(o) = f*p(o) + 2*t(o). Factor d(i).
-2*(i - 1)*(i + 1)**2
Find g such that 0 + 480/7*g**4 + 14400/7*g - 480/7*g**2 - 4/7*g**5 - 14396/7*g**3 = 0.
-1, 0, 1, 60
Solve -200/3 - 2/3*u**3 + 26/3*u**2 - 40/3*u = 0 for u.
-2, 5, 10
Let y(b) = b**2 - 683*b + 5404. Let l be y(8). Let -2000/11*k**2 - 60/11*k**l - 2/11*k**5 + 0*k + 0 - 600/11*k**3 = 0. Calculate k.
-10, 0
Let g(r) be the second derivative of 1/90*r**6 + 2/3*r**4 - 1/6*r**3 + 1 + r**2 + 8*r - 2/15*r**5. Let z(b) be the second derivative of g(b). Factor z(a).
4*(a - 2)**2
Find g such that 24 + 872/13*g + 226/13*g**2 - 10/13*g**3 = 0.
-3, -2/5, 26
Let c be 6/(-22)*(-48)/18. Suppose 3*f - 5*f = -4. What is v in 6/11*v**3 + c*v - 26/11*v**f + 0 = 0?
0, 1/3, 4
Solve 0*o**2 + 0*o + 2/25*o**5 + 0 + 3042/25*o**3 + 156/25*o**4 = 0 for o.
-39, 0
Let f(b) be the second derivative of -4/5*b**6 + 0 - 2/21*b**7 + 210*b + 0*b**3 + 0*b**2 + 0*b**4 + 0*b**5. Factor f(a).
-4*a**4*(a + 6)
Let i be 34/70 + (-1015)/(-71050). Solve -p + i*p**2 - 15/2 = 0.
-3, 5
Let u be 311 + ((-1)/2)/(12/(-24)). Suppose 2*d**2 - 314*d**4 - 6*d - 3*d**3 + u*d**4 + 3*d**3 + 6*d**3 = 0. What is d?
-1, 0, 1, 3
Suppose 5638 - 305509*w + 224*w**3 - 236038 - 147*w**3 + 867*w**3 - 4*w**4 + 78949*w - 53776*w**2 = 0. Calculate w.
-2, 120
Let y be (6 - -1) + -16 + 7 + 2. Solve -22/7*m**2 - 8/7*m**3 + 2/7*m**4 - 12/7*m + y = 0 for m.
-1, 0, 6
Suppose -i + h = -5, -i + 4*i - h - 9 = 0. Suppose 0*b = -b - i*r, -5*r = 5. Let -37*u + 14*u + 35*u**b - 40 - 27*u = 0. Calculate u.
-4/7, 2
Let w(u) = 5*u**3 - 46*u**2 + 1342*u + 9600. Let n(y) = -7*y**3 + 62*y**2 - 1790*y - 12800. Let z(q) = 11*n(q) + 15*w(q). Find s such that z(s) = 0.
-10, 16
Let a be 5 + (130/39)/(2/(-9)). Let u be (-220)/30 + -2 - a. Factor -4 + 10/3*l - u*l**3 + 4/3*l**2.
-2*(l - 3)*(l - 1)*(l + 2)/3
Let r = -270 - -272. Find t such that -100 + 21*t**r - 16*t**2 + 28*t + 67*t = 0.
-20, 1
Let h(q) = 172*q**5 + 172*q**4 - 368*q**3 + 40*q**2 - 8. Let r(n) = -115*n**5 - 114*n**4 + 246*n**3 - 27*n**2 + 5. Let y(s) = -5*h(s) - 8*r(s). Solve y(z) = 0.
-2, 0, 2/15, 1
Let p(r) be the first derivative of -r**7/420 - r**6/45 - r**5/12 - r**4/6 + 2*r**3/3 - 5*r**2 + 63. Let u(s) be the third derivative of p(s). Factor u(m).
-2*(m + 1)**2*(m + 2)
Let t(i) = i**3 + 9*i**2 + 7*i + 67. Let n be t(-9). Suppose -c = 4, 9*l - 3*c - 27 = 4*l. Factor 7 + 5*a**2 + l*a**2 + 30*a - 34*a + n*a**3 - 15.
4*(a - 1)*(a + 1)*(a + 2)
Let k be (0/(-4) - 1)*4/(-10). Let w = 222171/5 - 44433. Let 0 + 0*x**2 - k*x**4 + 8/5*x - w*x**3 = 0. What is x?
-2, 0, 1
Let i(d) = -13*d - 14. Let v be i(-2). Let k be (-14)/(-28)*8/v. Let -k*o + 1/6*o**2 - 1/2 = 0. What is o?
-1, 3
Let j(l) = 2*l**2 + 35*l + 19. Let h be j(-17). Suppose 0 = 6*f - h - 10. Suppose -8/3 + 2/3*r**f - 2*r = 0. What is r?
-1, 4
Factor -3/7*u**2 - 475212/7 - 2388/7*u.
-3*(u + 398)**2/7
Let w(i) be the first derivative of -i**4 - 1280*i**3/3 + 642*i**2 - 311. Find t, given that w(t) = 0.
-321, 0, 1
Let n = -164588 - -164590. Find l, given that 3*l**n - 2/3*l**3 + 2/3*l - 1/3*l**4 - 8/3 = 0.
-4, -1, 1, 2
Suppose -19 = -3*r + 29. Suppose 4*s - 2*s = -2*h, -s + r = -3*h. Factor 2 - 2 + 2*j**5 - 2*j + 2*j**4 + s*j**2 - 6*j**4.
2*j*(j - 1)**3*(j + 1)
Determine c so that -2/5*c**2 + 1212/5 + 602/5*c = 0.
-2, 303
Suppose 5*g - 46 = -0*m + 2*m, -5*g - 4*m + 58 = 0. Factor -12*f**2 - g*f**3 + 9*f**3 + 6*f**2.
-f**2*(f + 6)
Let v(y) = -3*y**2 - 22*y - 39. Let n be v(-3). Let r(i) be the first derivative of -10 + 0*i**2 - 7/2*i**4 + 8/3*i**3 - 4/5*i**5 + n*i. Solve r(a) = 0 for a.
-4, 0, 1/2
Let n(z) be the second derivative of 2*z**6/45 - 8*z**5/3 + 287*z**4/9 + 5720*z**3/9 - 6776*z**2 - 9510*z. Let n(v) = 0. What is v?
-7, 3, 22
Let o(t) be the first derivative of -3*t**4/4 - 68*t**3 - 3255*t**2/2 + 7350*t - 1121. Determine q so that o(q) = 0.
-35, 2
Suppose 14*q - 16*q = 46*q - 96. Let u(z) be the first derivative of -34*z**q + 32*z - z**4 + 40/3*z**3 - 17. Solve u(t) = 0.
1, 8
Factor 0 + 2/5*i**2 + 6/5*i.
2*i*(i + 3)/5
Let d(w) be the third derivative of -w**6/600 + w**5/100 + 3*w**4/40 - 25*w**3 + 191*w**2. Let k(a) be the first derivative of d(a). Factor k(u).
-3*(u - 3)*(u + 1)/5
Let p(j) = -3*j**2 + 1279*j + 3780. Let z(a) = -42*a**2 + 16626*a + 49122. Let b(x) = -27*p(x) + 2*z(x). Factor b(g).
-3*(g + 3)*(g + 424)
Let p(r) be the first derivative of r**8/3360 + r**7/420 - r**6/720 - r**5/60 + 2*r**3/3 - 6*r + 232. Let q(v) be the third derivative of p(v). Factor q(u).
u*(u - 1)*(u + 1)*(u + 4)/2
Let f(g) = -4*g**2 - 25*g + 186. Let q be f(7). Let c be ((-12)/7)/(q/1554). Factor c + 24/5*h + 2/5*h**2.
2*(h + 6)**2/5
Let q(f) be the second derivative of f**7/56 - 73*f**6/20 + 16419*f**5/80 - 657*f**4 + 648*f**3 + 229*f - 1. Solve q(t) = 0.
0, 1, 72
Suppose -5*c + 2*m + 34 = 0, -1698*m + 1693*m = -5*c + 55. Suppose -2/5*s**c - 8/5*s**2 - 24/5*s + 0 + 14/5*s**3 = 0. What is s?
-1, 0, 2, 6
Let -132/7*g**2 + 6/7*g**4 - 528/7*g - 306/7 + 96/7*g**3 = 0. Calculate g.
-17, -1, 3
Let b(r) be the first derivative of 2*r - 2/3*r**3 + 2*r**2 - 1/12*r**4 + 1/20*r**5 - 5. Let o(h) be the first derivative of b(h). Suppose o(a) = 0. What is a?
-2, 1, 2
Let z(p) be the first derivative of -p**6/39 - 2*p**5/13 + 3*p**4/26 + 2*p**3/3 - 10*p**2/13 - 3174. Solve z(h) = 0 for h.
-5, -2, 0, 1
Let o be ((-18)/30)/((-10 - (-777)/75)/((-6)/20)). Let -71/8*b**2 - o - 7/2*b**3 - 4*b = 0. What is b?
-2, -2/7, -1/4
Find s, given that 2058803*s + 2328480*s**2 + 57735*s - 113*s**4 + 116*s**4 + 206662*s + 5283*s**3 = 0.
-880, -1, 0
Let u(c) be the first derivative of 10*c**3 - 5/4*c**4 + 40*c + 43 + 75/2*c**2. Suppose u(a) = 0. Calculate a.
-1, 8
Let m be 48/68*15/6*(-170)/(-25). Determine j so that 0 - 3/2*j**4 - m*j + 45/2*j**2 - 9*j**3 = 0.
-8, 0, 1
Suppose -22 = -2*g - 18. Find o such that -4*o**2 + 5 - 11*o**g + 14*o**2 - 4 = 0.
-1, 1
Let i(q) be the second derivative of -q**4/6 - 94*q**3/3 + 291*q**2 + 2*q + 5252. Factor i(t).
-2*(t - 3)*(t + 97)
Let b be ((-2656)/(-830))/(24/15). Let p be (4 + -2)*2/10. Solve -4/5*v**b - 8/5*v + p