 = 0?
-1, 1
Factor -20 + 242 - 177*t**2 + 3*t**3 - 186*t - 133 + 271.
3*(t - 60)*(t - 1)*(t + 2)
Let p = -2/3437 + 30937/6874. Factor -p*z + 33/8 + 3/8*z**2.
3*(z - 11)*(z - 1)/8
Suppose -2*y + 255 - 100 = 85. Let v(c) = 48*c**2 + c + 1. Let u be v(-1). Solve y - 24*g**3 - 12 - 7 - u*g - 2*g**2 + 54*g**2 + 4*g**4 = 0 for g.
1, 2
Let h(p) = 10*p**3 - 3*p**2 + 2*p - 2. Let u be h(1). Determine r so that -307*r + 249 + 71 + 12*r**3 + 7*r + 60*r**2 - u*r**3 = 0.
-16, 2
Let j(i) be the second derivative of i**4/24 + 7*i**3/12 - 49*i**2/2 - 18*i - 29. Suppose j(o) = 0. What is o?
-14, 7
Suppose -502/5*b + 2/5*b**2 + 100 = 0. Calculate b.
1, 250
Let d be 1/11 + (-4396)/77. Let c be 4/((-108)/d) - (0 + 1). Factor 2/9*u**2 + 8/9 - c*u.
2*(u - 4)*(u - 1)/9
Let j = 5088 - 5084. Let i(c) be the second derivative of 1/2*c**3 + 8*c + 1/4*c**j + 0 + 0*c**2. Let i(d) = 0. Calculate d.
-1, 0
Let j(w) be the first derivative of 3*w**5/80 - 9*w**4/16 + w**3 + 102*w - 98. Let k(z) be the first derivative of j(z). Factor k(g).
3*g*(g - 8)*(g - 1)/4
Let w(x) be the first derivative of x**8/462 - 13*x**7/1155 + 7*x**6/330 - x**5/66 + 49*x**2/2 - 39. Let q(d) be the second derivative of w(d). Factor q(n).
2*n**2*(n - 1)**2*(4*n - 5)/11
Suppose -39*v**2 + 50*v**2 - 23*v**2 + 45*v**4 - 236*v**3 + 203*v**3 = 0. What is v?
-4/15, 0, 1
Let t(q) be the third derivative of -5*q**6/2 - 8*q**5 - 32*q**4/3 + 40*q**3/3 + 23*q**2. Let n(d) be the first derivative of t(d). Factor n(h).
-4*(15*h + 8)**2
Let t(x) be the second derivative of -29*x**6/30 + 117*x**5/10 + 83*x**4/3 - 700*x**3 + 144*x**2 - 176*x - 1. Factor t(b).
-(b - 6)**2*(b + 4)*(29*b - 2)
Suppose -2295 = -21*l - 2190. Let x(d) be the second derivative of 1/55*d**l + 7/132*d**4 + 0 + 13*d - 7/33*d**3 + 3/22*d**2. Solve x(f) = 0.
-3, 1/4, 1
Determine h so that 12/7 + 2*h**2 - 5*h + 9/7*h**3 = 0.
-3, 4/9, 1
Suppose -16*y = -5558 + 1798. Factor 125*g - y - 4*g**2 - 167*g + 3*g**2 - 206.
-(g + 21)**2
Let p be (-2)/6 - (((-1120)/(-390))/14 - 3). Let q = -1110/13 + 1152/13. Determine c so that -160/13*c**2 - 128/13*c - p + 18/13*c**5 + q*c**4 - 40/13*c**3 = 0.
-2, -1, -2/3, 2
Factor 24/7*x - 33/7*x**2 + 60/7 + 3/7*x**3.
3*(x - 10)*(x - 2)*(x + 1)/7
Suppose 4*o + 3 = -2*y - 29, 3*y + 4*o + 30 = 0. Factor 1 - y*d + 3/4*d**2 + 1/2*d**3 - 1/4*d**4.
-(d - 2)*(d - 1)**2*(d + 2)/4
Let r(a) be the second derivative of 2*a**6/5 - 99*a**5/20 + 19*a**4 - 57*a**3/2 + 15*a**2 + 1952*a. Determine z so that r(z) = 0.
1/4, 1, 2, 5
Let r(p) be the first derivative of 4/9*p + 2/45*p**5 - 2/9*p**3 + 1/9*p**2 + 34 - 1/18*p**4. Suppose r(a) = 0. Calculate a.
-1, 1, 2
Let t be 6/(-684)*6 + ((-1424)/380 - (-18 - -14)). Determine r, given that t*r + r**2 - 1 - 1/5*r**3 = 0.
-1, 1, 5
Let t(p) = -p**2 - 7*p - 22. Let u be t(-9). Let s = -35 - u. Factor 0*f + 3*f + f - 6*f**2 + s*f.
-3*f*(2*f - 3)
Suppose -52 + 121 = 23*o. Find s such that 0 + 1064*s - 55*s**2 + 4*s**5 + 45*s**o + 0 - 1114*s + s**5 + 55*s**4 = 0.
-10, -1, 0, 1
Let p(n) = -1224*n - 28149. Let c be p(-23). What is u in 0*u**c + 2/3*u**5 + 8/3*u**4 + 0 + 0*u + 0*u**2 = 0?
-4, 0
Suppose -4*y - 309 + 305 = 0. Let i = y - -1. Factor i - 6/11*q**2 + 10/11*q**3 - 4/11*q.
2*q*(q - 1)*(5*q + 2)/11
Let a(t) be the second derivative of t**3/6 + t**2/2 + 2*t + 34. Let o(d) = d**2 - 41*d + 319. Let z(w) = 5*a(w) + o(w). Solve z(r) = 0.
18
Suppose -c = 201 - 199. Let q(o) = -4*o**2 - 22*o + 24. Let t(y) = -5*y**2 - 23*y + 25. Let n(j) = c*t(j) + 3*q(j). Factor n(h).
-2*(h - 1)*(h + 11)
Let w(g) = -2*g**2 - 213 + g**3 - 6*g + 2*g + 217. Let o(x) = 0*x**2 - 2*x**2 + 5*x + 8*x**2 - 3*x**2 - 5 - x**3. Let y(l) = -4*o(l) - 5*w(l). Factor y(n).
-n**2*(n + 2)
Suppose 13 - 2 = 3*j + n, -5*n + 19 = -3*j. Suppose -10*o**j + 2*o**4 - 168*o**3 + 347*o**3 - 171*o**3 = 0. What is o?
-5, 0, 1
Let p(y) = 6*y + 2. Let w be p(8). Let a = 70 - w. Suppose 12*h**2 - 5*h**3 - a + h**2 + 2*h**2 = 0. What is h?
-1, 2
Let z be 5 + 10166/306 + -38. Factor 0 - 2/9*j**3 + z*j + 0*j**2.
-2*j*(j - 1)*(j + 1)/9
Let v(p) = 7*p**2 - 2053*p + 811. Let d(o) = 3*o**2 - 1026*o + 453. Let u(h) = -13*d(h) + 6*v(h). Factor u(f).
3*(f - 1)*(f + 341)
Let c(l) be the second derivative of 73/18*l**3 + 0 - 157*l - l**2 + 25/36*l**4. Factor c(d).
(d + 3)*(25*d - 2)/3
Let v be (1/3)/((-15)/(-135)). Determine c, given that 2*c**4 + 7*c**3 + 1571 - 1571 - c**v = 0.
-3, 0
Suppose 5*d + 10 = -r, 3*d + 14*r + 74 = 10*r. Factor 2*w + 0 + 13/4*w**d.
w*(13*w + 8)/4
Let l = -40368 - -161473/4. Suppose -1/4*v**2 + 1/4*v - 1/4*v**3 + l = 0. What is v?
-1, 1
Let z(h) be the third derivative of -h**8/2184 + 2*h**7/1365 + h**6/780 - h**5/195 + h**2 + 35*h. Find w, given that z(w) = 0.
-1, 0, 1, 2
Let f = 286 - 262. Suppose 0 = 5*s + 20, -5*t - 34 = 5*s - f. Determine u so that 2/17*u**t + 0 - 12/17*u = 0.
0, 6
Let o(l) be the first derivative of 4*l**5/5 + 112*l**4 + 12980*l**3/3 + 12100*l**2 + 551. Suppose o(g) = 0. Calculate g.
-55, -2, 0
Solve 544 - 468*v - 187*v - 145*v - 56*v**3 - 2*v**4 + 384*v**2 = 0.
-34, 2
Let m(j) = -2*j**2 - 58*j + 3. Suppose 3*u = 4*i + 122, -4*i - 58*u = -63*u + 126. Let v be m(i). Factor 16/3*z**v + 20/3*z + 8/3 - 44/3*z**2.
4*(z - 2)*(z - 1)*(4*z + 1)/3
Let j(i) = 2. Let g be 0/((-2)/1) - (6 - 8). Let y(p) = -3*p**2 - 84*p - 77. Let a(b) = g*j(b) - y(b). Factor a(f).
3*(f + 1)*(f + 27)
Let m(w) be the second derivative of w**4/48 - 121*w**3/24 - 93*w**2/2 - 21*w - 40. Factor m(v).
(v - 124)*(v + 3)/4
Let m be 10660/2600 + (-21)/6. Solve n**3 + 0 + 2/5*n**2 + 0*n - m*n**4 = 0 for n.
-1/3, 0, 2
Let q(a) = 4*a**2 + 15*a - 10. Let u(i) = -i**2 - i + 2. Let n(l) = -q(l) - 5*u(l). Determine o, given that n(o) = 0.
0, 10
Let b(d) be the second derivative of d**7/210 + d**6/6 + 69*d**5/100 - 87*d**4/4 - 45*d**3 + 3326*d. Solve b(k) = 0 for k.
-15, -1, 0, 6
Let g(y) = 16*y**3 - 803*y**2 + 809*y + 1607. Let n(m) = 10*m**3 - 802*m**2 + 808*m + 1606. Let i(l) = -2*g(l) + 3*n(l). Factor i(b).
-2*(b - 2)*(b + 1)*(b + 401)
Let t(j) = -19*j**2 + 534*j - 6. Let k(h) = -4*h**2 - h - 1. Let s(w) = 6*k(w) - t(w). Determine a, given that s(a) = 0.
-108, 0
Suppose 0 = 9*q - 690 - 21. What is a in 67 - 3*a**2 - q - 18*a + 6*a = 0?
-2
Let j(c) be the second derivative of c**7/1050 - c**6/300 - 3*c**5/100 + c**4/6 + 51*c**3 - c + 32. Let w(s) be the second derivative of j(s). Factor w(o).
2*(o - 1)*(o + 2)*(2*o - 5)/5
Let m(h) be the first derivative of -h**4/96 - h**3/4 - 11*h**2/16 + 203*h - 168. Let o(w) be the first derivative of m(w). Determine r, given that o(r) = 0.
-11, -1
Let d(c) be the second derivative of 1/3*c**3 - 44 - 1/60*c**4 + 11/10*c**2 + 2*c. Factor d(r).
-(r - 11)*(r + 1)/5
Let m(i) = -i**3 - 28*i**2 + 28*i - 31. Let b be m(-29). Let w(z) = -40*z - 78. Let l be w(b). Factor l - 3/2*n**2 + 1/2*n**3 + 0*n.
(n - 2)**2*(n + 1)/2
Let m be (-75)/240*(-45)/75*8. Solve -15/4*o - 3*o**4 + 3/2 + 3*o**3 + 3/4*o**5 + m*o**2 = 0 for o.
-1, 1, 2
Let h = 495213 - 6437741/13. Factor -2/13*p**3 + h*p - 2/13*p**2 + 48/13.
-2*(p - 4)*(p + 2)*(p + 3)/13
Let q(w) be the third derivative of -w**7/168 - w**6/240 + w**5/80 + 328*w**2 - 2*w. Factor q(f).
-f**2*(f + 1)*(5*f - 3)/4
Let i(a) = a**3 + 77*a**2 - 17*a - 7064. Let m be i(-76). Suppose -1/5*d**3 + 0*d - 4/5*d**m + 0 + 6/5*d**2 - 1/5*d**5 = 0. What is d?
-3, -2, 0, 1
Let x be 27 + 49/7 + (-13 - 1). Suppose x*s = -30*s. Let 0 - 2/11*o**2 + s*o = 0. Calculate o.
0
Let d(b) = -16*b**3 + 10*b**2 + 29*b. Let n(s) = -3*s**3 + 2*s**2 + 6*s. Let q(o) = -2*d(o) + 11*n(o). Factor q(k).
-k*(k - 4)*(k + 2)
Let x = 13567/76615 - -33/6965. Determine o, given that -2/11*o + 2/11*o**3 + x*o**2 + 0 - 2/11*o**4 = 0.
-1, 0, 1
Suppose 2*m = -4*a + 42, 26*a + 5*m + 27 = 27*a. Let o(w) be the first derivative of -2/15*w**3 + a - 8/5*w**2 - 32/5*w. Determine z, given that o(z) = 0.
-4
Let -155 - 653*s - 59*s - 25411*s**2 - 128*s**3 - 133 + 24855*s**2 + 4*s**4 = 0. Calculate s.
-2, -1, 36
Let n(f) be the third derivative of -4*f**2 - 7*f + 0 + 0*f**4 + 3/110*f**5 + 0*f**3 + 1/110*f**6 + 1/1155*f**7. Factor n(b).
2*b**2*(b + 3)**2/11
Suppose 0 = 3*h + 5*l - 71, -453 + 396 = 4*h - 5*l. Let -1/2*z + 0 - 1/4*z**h = 0. What is z?
-2, 0
Let w(o) be the second derivative of o**5/100 - 3*o**4/20 - 17*o**3/15 - 12*o**2/5 +