se b(v) = 0. Calculate v.
-2, 2
Let v(j) be the second derivative of 33/2*j**2 - 3 - 1/4*j**4 - 7*j - 5*j**3. Factor v(m).
-3*(m - 1)*(m + 11)
Factor -83/3*w**2 + 1/3*w**3 - 1600 + 1840/3*w.
(w - 40)**2*(w - 3)/3
Let g(r) be the second derivative of r**9/5040 + r**8/560 - r**7/120 - r**6/24 - 39*r**4/4 + 3*r + 11. Let y(m) be the third derivative of g(m). Factor y(c).
3*c*(c - 2)*(c + 1)*(c + 5)
Factor 158/3*w + 4/3*w**2 - 80/3.
2*(w + 40)*(2*w - 1)/3
Let d(a) = a + 16 - a**2 - 11 - 6. Let l(g) = -135*g - 60. Let w(r) = 20*d(r) - l(r). Find p such that w(p) = 0.
-1/4, 8
Factor 65/3*z - 1/3*z**2 - 550/3.
-(z - 55)*(z - 10)/3
Let h(c) = -6*c**4 + 7*c**3 - 3*c**2 + 4*c + 2. Let m(f) = -9*f**3 - 6*f + 160 + 3*f**2 + 3*f**3 + 6*f**4 - 163. Let n(u) = 3*h(u) + 2*m(u). Factor n(k).
-3*k**2*(k - 1)*(2*k - 1)
Let j(p) be the second derivative of -7*p**5/60 + 229*p**4/12 - 5635*p**3/6 + 2401*p**2/6 - 584*p. Factor j(n).
-(n - 49)**2*(7*n - 1)/3
Let u = 93 + -89. Suppose -z = u*q - 4, -5*z = q + 8 + 10. Suppose 5/4*o**q + 15/4 + 5*o = 0. Calculate o.
-3, -1
Suppose 0 = -3*a - 2*z - 2, 13*a - 3*z = 11*a + 16. Suppose a*l - 10 = -4*o, 29*l = 28*l + 1. Determine t so that 18*t - 3/2*t**4 - 6 + 9*t**3 - 39/2*t**o = 0.
1, 2
Let a(s) = 25*s**2 + 153*s + 179. Let k(b) = -b**2. Let h(g) = -5*g**2 - 19*g - 22. Let x(z) = h(z) - 2*k(z). Let j(d) = -6*a(d) - 51*x(d). Factor j(w).
3*(w + 1)*(w + 16)
Let j(k) be the second derivative of 3*k**5/20 - 19*k**4/4 + 56*k**3 - 288*k**2 - 309*k. Find o, given that j(o) = 0.
3, 8
Let u = -131742 - -131749. Suppose 4*f - 30 = -3*g - 2*g, -5*f + 29 = 2*g. Suppose 1/2 + 7*b + 24*b**g - 49/2*b**4 - u*b**3 = 0. Calculate b.
-1, -1/7, 1
Let t(p) = 14*p**2 - 654*p + 24336. Suppose 6*x + 3*c = 7*x + 2, 0 = 2*x - c - 1. Let f(v) = v**2 - 3*v. Let a(q) = x*t(q) - 10*f(q). Factor a(u).
4*(u - 78)**2
Let p be ((-7)/(154/16))/((-170)/(-55) + (-28)/7). Suppose p*h**2 - 6/5 - 1/5*h**3 - 1/5*h = 0. What is h?
-1, 2, 3
Let a(c) be the second derivative of -c**6/6 + 11*c**5/2 + 125*c**4/4 + 10*c**3/3 - 250*c**2 + c + 246. Let a(f) = 0. Calculate f.
-2, 1, 25
Let n be (5*(-33)/110)/(3/(-4)). Factor -145*o - 10 + 45*o + 159*o**2 + 17*o**n - 64*o - 2.
4*(o - 1)*(44*o + 3)
Determine n, given that -n**3 - 2*n**3 - 91913*n + 209380*n + 196352481 + 6*n**3 + 3627*n**2 + 1344214*n = 0.
-403
Let v = -370451/2 - -185226. Solve 0 + 2*a - v*a**3 + 3/2*a**2 = 0 for a.
-1, 0, 4
Let s(f) be the second derivative of -243*f**6/2 + 71199*f**5/4 - 39375*f**4/2 + 26210*f**3/3 - 1940*f**2 - 9*f - 141. Solve s(t) = 0.
2/9, 97
Let o(n) be the second derivative of 1/6*n**4 + 2/11*n**3 + 0 + 3*n + 0*n**2 + 1/165*n**6 + 3/55*n**5. Solve o(u) = 0.
-3, -2, -1, 0
Let g = -207 + 209. Determine i so that 14*i**g + 2*i**2 - 23*i**2 + 5*i**3 + 27*i**2 - 25*i = 0.
-5, 0, 1
Suppose -6*g = 108 - 90. Let q(f) = -8*f**3 + 10*f**2 + 35*f + 20. Let j(r) = -r**3. Let i(d) = g*j(d) + q(d). Suppose i(o) = 0. What is o?
-1, 4
Let j = -43 + 44. Suppose -4*r + 7 = -j. Factor 6*m**2 - 562 - r*m**3 + 562 - 4*m.
-2*m*(m - 2)*(m - 1)
Suppose 2 = 3*t - 4. Suppose 3*a = -q - t*a - 10, 10 = -4*q - 5*a. What is g in 6*g**3 - g**3 + 2*g**2 - 3*g**3 - 2*g - 2*g**4 + q*g = 0?
-1, 0, 1
Let u be ((-17688)/(-3685))/(72/15 - 2). Factor 2/7*f - 8/7*f**2 + 2/7*f**3 + u.
2*(f - 3)*(f - 2)*(f + 1)/7
Let d(v) be the third derivative of -3*v**2 + 1/525*v**7 + 0 + 1/3*v**3 + 23/120*v**4 - 11/600*v**6 + 0*v + 0*v**5. Let d(j) = 0. Calculate j.
-1, -1/2, 2, 5
Let r = 1222 + -523. Find h, given that 2*h**3 + 58*h**3 - 2*h**4 + 34*h**2 - r - 653 - 588*h**2 + 1560*h = 0.
2, 13
Let n(c) = 3*c**2 + 24*c + 38. Let j be 10/8 + (-871)/268. Let k(d) = -16*d**2 - 121*d - 189. Let l(b) = j*k(b) - 11*n(b). Suppose l(o) = 0. What is o?
-20, -2
Let o(n) = 32*n**4 - 586*n**3 - 36*n**2 + 1694*n + 1162. Let x(s) = -42*s**4 + 781*s**3 + 48*s**2 - 2259*s - 1549. Let f(j) = -13*o(j) - 10*x(j). Factor f(d).
4*(d - 48)*(d - 2)*(d + 1)**2
Suppose 89*f - 40 - 62 = 254. What is y in 2/5*y**2 + 8/5 + 42/5*y + 62/5*y**f + 24/5*y**5 - 138/5*y**3 = 0?
-4, -1/3, -1/4, 1
Let d = 4441 + -8881/2. Let 4 - 7/2*o - 9/2*o**2 + d*o**4 + 7/2*o**3 = 0. Calculate o.
-8, -1, 1
Let f be 14 - (-160)/12*108/(-120). Determine o so that 74/3*o**3 + 88/3*o + 44*o**f + 16/3 + 14/3*o**4 = 0.
-2, -1, -2/7
Let x = 2/1025191 - -1025183/4100764. Solve 15/4*g**2 - 2*g**3 + 2*g + x*g**4 - 4 = 0 for g.
-1, 1, 4
What is u in 157*u - 120*u**2 - 112*u**2 + 299*u + 127*u**2 - 468 - 3*u**3 = 0?
-39, 2
Let g(t) = 8*t**2 + 68*t + 1688. Let z be (15/6)/(15/(-210)). Let b(l) = l**2 - 2*l + 1. Let f(k) = z*b(k) + 5*g(k). Factor f(i).
5*(i + 41)**2
Let l be (-80)/35*(-1652)/944. Solve 2*r - 2/9*r**5 + 4/3*r**l - 4/3*r**2 + 0 - 16/9*r**3 = 0.
-1, 0, 1, 3
Let o(n) be the third derivative of n**9/20160 - n**8/6720 - 3*n**7/560 + 3*n**6/80 - n**5 - 35*n**2. Let m(v) be the third derivative of o(v). Factor m(k).
3*(k - 3)*(k - 1)*(k + 3)
Let k(v) be the second derivative of 85/12*v**4 + 154 + 25*v**2 - v**5 - 115/6*v**3 + v. Factor k(w).
-5*(w - 2)*(w - 1)*(4*w - 5)
Let l(j) be the third derivative of 56/27*j**3 + 13/54*j**4 - 165*j**2 + 0 + 0*j - 29/270*j**5 + 1/540*j**6. Factor l(g).
2*(g - 28)*(g - 2)*(g + 1)/9
Suppose -2 = -5*z + 3. Let q(n) = 82*n + z - 4*n**3 + 0 + 17*n**2 - 69*n. Let c(v) = -2*v**3 + 8*v**2 + 6*v. Let m(w) = -9*c(w) + 4*q(w). Factor m(j).
2*(j - 2)*(j - 1)*(j + 1)
Let r(i) be the second derivative of 0 + 0*i**4 + 1/180*i**5 + 8*i + 0*i**2 - 1/54*i**3. Factor r(q).
q*(q - 1)*(q + 1)/9
Suppose 151*w - 5*w = -13*w + 477. Let x(l) be the first derivative of -2/9*l**w + 4 - 7/3*l**2 + 0*l. Determine k so that x(k) = 0.
-7, 0
Let y be 23 + ((-272)/112 - -3)*-35. Factor 352/7*s + 40/7*s**y - 192/7*s**2 - 2/7*s**4 - 32.
-2*(s - 14)*(s - 2)**3/7
Let o(n) be the first derivative of -5*n**3/3 + 1480*n**2 - 438080*n + 1100. Find d, given that o(d) = 0.
296
Factor 7/3*w**3 - 1/3*w**4 - 32/3*w - 2*w**2 + 32/3.
-(w - 4)**2*(w - 1)*(w + 2)/3
Find y such that 26615*y + y**3 - 26515*y - 251*y**2 + 271*y**2 = 0.
-10, 0
Suppose 0 = g - 5*w + 38, 0 = -87*g + 91*g - w + 114. Let p be (1 + (-2 - 17))*g/168. Factor -3*h**2 + 9/4*h**p + 0 + 0*h + 3/4*h**4.
3*h**2*(h - 1)*(h + 4)/4
Suppose -3*v + 2*c + c + 12 = 0, -4*v = c - 6. Suppose 6*m**2 - 112*m - 11*m**2 + 11*m + 10*m**v - 89*m = 0. What is m?
0, 38
Let f be 357/(-414) + (-115)/30 + 4. Let d = f - -172/115. What is r in d*r**3 - 21/5*r**2 + 21/5*r - 4/5 = 0?
1/4, 1, 4
Let v be (30 + -22)/(-2 - -8). Let y(k) be the first derivative of -14*k**2 + 10 + v*k**3 + 40*k. Factor y(x).
4*(x - 5)*(x - 2)
Suppose 21*d - 22*d + 12 = 0. Suppose d = 5*g - 0*q - q, -2*g + 5*q + 14 = 0. Factor -40*f**3 + 40*f + 35*f**3 + 7*f**2 - 42*f**g.
-5*f*(f - 1)*(f + 8)
Solve -60*z + 36*z**3 - 23*z**3 - 42*z**4 + 5*z**5 + 20*z**2 + 18*z**3 + 14*z**3 + 12*z**4 = 0.
-1, 0, 2, 3
Let z(k) be the third derivative of -1/540*k**5 - 7/216*k**4 + 0*k**3 - 112*k**2 + 1/1890*k**7 + 0 + 7/1080*k**6 + 0*k. Determine f, given that z(f) = 0.
-7, -1, 0, 1
Let w(b) be the first derivative of 6*b + 2 + 19/4*b**2 + 1/4*b**3. Find m such that w(m) = 0.
-12, -2/3
Let y(m) = 3*m**3 + 2488*m**2 + 158757*m - 161283. Let o(w) = 2*w**3 + 1247*w**2 + 79378*w - 80642. Let b(a) = -7*o(a) + 3*y(a). Factor b(z).
-5*(z - 1)*(z + 127)**2
Let y(b) be the first derivative of 5*b**3/3 - 1030*b**2 + 212180*b - 854. Determine x so that y(x) = 0.
206
Let k(c) = -24*c**3 + 185*c**2 - 97*c - 52. Let t(f) = -166*f**3 + 1298*f**2 - 680*f - 364. Let l(s) = -22*k(s) + 3*t(s). Factor l(p).
2*(p - 1)*(3*p + 1)*(5*p - 26)
Factor -82*k - 4*k**5 - 19*k + 32*k**4 - 88*k**3 + 38*k + 27*k + 96*k**2.
-4*k*(k - 3)**2*(k - 1)**2
Let b = 3356 - 3356. Let g(j) be the second derivative of b + 4/5*j**5 + 0*j**2 + 0*j**3 + 2*j - 2/15*j**6 - 4/3*j**4. Find m, given that g(m) = 0.
0, 2
Suppose -5*s = -x - 3*x + 379, 3*s + 86 = x. Let o be 2/(-11) - x/(-11). Factor 5*g + g**4 + 3*g**3 + g**2 - o*g - g**2.
g*(g - 1)*(g + 2)**2
Let l(n) = -26*n**2 + 280*n - 774. Let t(w) = 9*w**2 - 94*w + 257. Let o(a) = 5*l(a) + 14*t(a). Factor o(v).
-4*(v - 17)*(v - 4)
Let j(u) = -13*u**2 - 23*u + 248. Let q(b) = 28*b**2 + 48*b - 508. Let t(i) = -9*j(i) - 4*q(i). Solve t(g) = 0.
-8, 5
Suppose 5*q + 2*i - 4*i - 15 = 0, -12*q - 5*i =