) = 0. Calculate c.
-2, -2/7, 1, 2
Let i(c) be the second derivative of 0 + 5*c + 0*c**2 - 3/20*c**5 - c**3 + 3/4*c**4. Suppose i(g) = 0. What is g?
0, 1, 2
Let y(z) be the second derivative of z**6/90 + z**5/5 + 4*z**4/3 + 5*z**3/6 - z**2 - 2*z + 12. Let t(i) be the second derivative of y(i). Factor t(c).
4*(c + 2)*(c + 4)
Let v(d) = -2*d**2 - 2220*d - 616. Let p(g) = g + 44. Let f(q) = -28*p(q) - 2*v(q). Let f(u) = 0. What is u?
-1103, 0
Factor -6*g**2 + 84 - 5*g**2 - 87*g + 24*g**2 - 8*g**2 - 2*g**2.
3*(g - 28)*(g - 1)
Let z = 387 + -385. Solve -2799 + 1833 - 4218 - 4896*l - 76*l**z + 360*l**2 - 4*l**3 = 0.
-1, 36
Suppose 91*a + 43 - 316 = 0. Let b(y) be the second derivative of 0*y**a - 9/5*y**5 + 0 + 0*y**2 - 20*y + 2/3*y**4. Factor b(t).
-4*t**2*(9*t - 2)
Let i(s) be the third derivative of -s**6/280 + 26*s**5/35 - 338*s**4/7 - 44*s**2 - 2*s. Factor i(g).
-3*g*(g - 52)**2/7
Let n(v) = -97*v - 2616. Let m be n(-27). Let i(q) be the second derivative of 1/4*q**4 - 33*q + 0 + 27/2*q**2 - 5*q**m. Determine h, given that i(h) = 0.
1, 9
Let j(l) = 19*l**3 - 14*l**2 + 257*l + 224. Let z(v) = 54*v**3 - 34*v**2 + 772*v + 673. Let o(k) = 17*j(k) - 6*z(k). Let o(r) = 0. Calculate r.
-23, -10, -1
Let s(x) be the second derivative of -1/21*x**7 + 0 - 331*x + 3/4*x**4 + 0*x**3 + 13/30*x**6 + 0*x**2 - 6/5*x**5. Suppose s(m) = 0. What is m?
0, 1/2, 3
Let k(y) be the second derivative of y**4/114 + 8*y**3/57 - 9*y**2/19 - y - 675. What is n in k(n) = 0?
-9, 1
Suppose 1/3*n**2 - 25 + 22/3*n = 0. Calculate n.
-25, 3
Let w(h) be the third derivative of 0*h - 28/15*h**6 + 21 + 0*h**3 + 0*h**4 - h**2 + 0*h**5 + 2/105*h**7. Solve w(z) = 0.
0, 56
Suppose 5*b + 5*c = 20, 2*b + 2 = -2*b + 5*c. Suppose 3*u - 7 = -b*p + p, -4*p = -5*u - 11. Factor -3 - 2*m**4 + 9 - p + 4*m**3 - 4*m.
-2*(m - 1)**3*(m + 1)
Let d = 56933 - 401584/7. Let j = 437 + d. Find f, given that -j*f - 8/7 - 1/7*f**2 = 0.
-4, -2
Let 0 - 292/7*d**2 + 2/7*d**3 + 0*d = 0. Calculate d.
0, 146
Let o = 8 - -19. Factor 26*x**2 + o*x**2 - 57*x**2 + 4*x.
-4*x*(x - 1)
Let o(s) be the second derivative of -3*s**5/110 - 15*s**4/22 + 76*s**3/11 + 2514*s. Factor o(m).
-6*m*(m - 4)*(m + 19)/11
Let u(h) be the second derivative of -5*h**7/147 + 11*h**6/105 + 13*h**5/70 - h**4/14 + 156*h - 1. Suppose u(m) = 0. Calculate m.
-1, 0, 1/5, 3
Suppose 0 = -5*u + 39 + 61. Let o(r) = u*r + 13*r + 10*r**3 + 21 - 47*r**2 - 21. Let h(f) = 5*f**3 - 24*f**2 + 16*f. Let s(x) = -7*h(x) + 4*o(x). Factor s(n).
5*n*(n - 2)**2
Let l(h) be the second derivative of -h**5/80 - 35*h**4/24 - 17*h**3/3 + 11708*h. Factor l(a).
-a*(a + 2)*(a + 68)/4
Let n(r) be the second derivative of -9 + 9*r - 1/3*r**3 + 0*r**2 + 1/135*r**6 - 7/90*r**5 + 5/18*r**4. Solve n(a) = 0 for a.
0, 1, 3
Suppose -2/15*j**5 + 0*j - 56/15*j**3 - 16/5*j**2 - 4/3*j**4 + 0 = 0. Calculate j.
-6, -2, 0
Factor 156/11 - 58/11*n + 2/11*n**2.
2*(n - 26)*(n - 3)/11
Let c = -751866 + 751868. Suppose 16/5 - 128/5*t + 128/5*t**3 - 44*t**4 + 204/5*t**c = 0. Calculate t.
-1, 2/11, 2/5, 1
Let z(g) be the first derivative of 4*g**5/45 + 10*g**4/9 + 4*g**3/3 - 955. Factor z(x).
4*x**2*(x + 1)*(x + 9)/9
Suppose 0*g - 4*g - 6 = -3*t, -5*t = -g - 10. Let j be t/5 - (-27)/45. Solve 2*s - 4 - 1 + 2*s**2 + j = 0.
-2, 1
Let i(l) be the first derivative of -3*l**4/32 - 4*l**3 - 105*l**2/4 + 156*l + 8617. Suppose i(u) = 0. Calculate u.
-26, -8, 2
Let a(o) = 8*o**2 - 1130*o + 1402. Let b be a(140). Let q be (4/(-50))/((-6)/240). Factor 4/5*n**4 - 16/5*n + 8/5*n**b + q*n**3 - 12/5.
4*(n - 1)*(n + 1)**2*(n + 3)/5
Let 5245*u + 3387*u**3 - 138*u - 69*u**3 - 2520 - 463*u**3 - 5*u**5 + 2003*u - 7055*u**2 - 385*u**4 = 0. What is u?
-84, 1, 2, 3
Let 1972 + 1964*n**2 + 3664*n + 183*n + 327*n - 234*n - 4*n**3 = 0. Calculate n.
-1, 493
Suppose 141*k - 143*k + 2*r = 18, -3*r + 33 = 0. Determine y, given that 3/4*y - 3/4*y**3 - 1/4*y**4 - 1 + 5/4*y**k = 0.
-4, -1, 1
Suppose 0*x + 4/3*x**3 + 4148/3*x**2 + 0 = 0. Calculate x.
-1037, 0
Let l = -78 - -71. Let v = l - -9. Find h, given that -74*h + 5*h**v + 15 + 17*h + 37*h = 0.
1, 3
Let k = 2/1623 + 179/1082. Let c(f) be the first derivative of 0*f - 1/9*f**3 + 1/15*f**5 + k*f**2 - 5 - 1/12*f**4. Find b, given that c(b) = 0.
-1, 0, 1
Let w(k) = k**2 - 367*k**3 + 5*k + 362*k**3 + 4 + 3*k**4 - 4*k**4. Let s(a) = -1. Let n(f) = -4*s(f) - w(f). Factor n(x).
x*(x - 1)*(x + 1)*(x + 5)
Let a(f) = 5*f**3 - 2*f**2 + 3*f - 2. Let q be a(2). Factor 5*x**2 + 44*x**3 + 100*x**2 - 80*x**3 - 108 + 3*x**4 + q*x.
3*(x - 6)**2*(x - 1)*(x + 1)
What is n in -14773*n**4 - 3 + 2 + 1 + 2866*n**4 - 1560*n**2 - 13419*n**3 - 48*n = 0?
-1, -4/63, 0
Suppose 115*n - 14*n = 21*n + 320. Factor y**2 - 1/2*y**3 - 1/4*y**n + 1/2*y - 3/4.
-(y - 1)**2*(y + 1)*(y + 3)/4
Let v(w) be the third derivative of -w**7/42 - 11*w**6/24 + 73*w**5/12 - 545*w**4/24 + 40*w**3 + 2884*w**2. Determine q so that v(q) = 0.
-16, 1, 3
Factor 1/2*p**3 + 176*p + 35/2*p**2 + 384.
(p + 3)*(p + 16)**2/2
Let w(v) be the first derivative of 1/2*v**4 + 18*v + 59 - 9*v**2 - 2/3*v**3. Find f, given that w(f) = 0.
-3, 1, 3
Factor 1/2*y - 5/4*y**3 + 0 - y**4 + 7/4*y**2.
-y*(y - 1)*(y + 2)*(4*y + 1)/4
Let k(g) be the second derivative of g**4/20 - 193*g**3/5 + 111747*g**2/10 - 718*g. Factor k(o).
3*(o - 193)**2/5
Let g be (-77)/(-44)*40/35. Let h(i) be the third derivative of -10*i**g + 0*i - 1/330*i**5 + 0 + 1/66*i**4 + 0*i**3. Factor h(b).
-2*b*(b - 2)/11
Let g be 1/((-12)/(-56)) - (-2)/6. Let t(w) = w**2 + w + 1. Let i(p) = 22*p**2 + 193*p + 358. Let z(q) = g*t(q) + i(q). Factor z(x).
3*(3*x + 11)**2
Let z = -37 - -187/5. Let g be 22 + -9 + 61/(-5). Factor 2/5*j**4 - z*j**3 + 2*j - 6/5*j**2 - g.
2*(j - 1)**3*(j + 2)/5
Let k(d) be the third derivative of -d**7/420 - d**6/24 - d**5/20 + 7*d**4/24 + 47*d**3/3 - 131*d**2. Let o(r) be the first derivative of k(r). Factor o(i).
-(i + 1)*(i + 7)*(2*i - 1)
Let k(r) be the first derivative of -r**4/28 + 29*r**3/21 - 16*r**2 + 28*r - 272. Factor k(w).
-(w - 14)**2*(w - 1)/7
Let d = 44 + -41. Suppose 4*k + 30 = 5*w, 4*w + d*w = 4*k + 34. Determine m so that -3*m + 3/5*m**3 + 9/5 + 3/5*m**w = 0.
-3, 1
Let y(s) be the first derivative of -19/14*s**2 + 1/42*s**6 - 6/7*s + 2/35*s**5 - 3/14*s**4 - 236 - 20/21*s**3. Find i, given that y(i) = 0.
-2, -1, 3
Suppose m - 3*x = 20, -5*x + 231 = -4*m + 290. Let g(t) be the first derivative of 0*t + m + 2/3*t**2 + 2/9*t**3. Factor g(i).
2*i*(i + 2)/3
Let p = -23102 + 23102. Let f(m) be the second derivative of 9*m**2 - 1/2*m**3 - 27*m - 1/4*m**4 + p. Solve f(a) = 0 for a.
-3, 2
Suppose -2*f - 1803 = 3*k, 5*k = -3*f - 1360 - 1342. Let c = f + 4553/5. Determine z, given that 8/5*z + 2/5*z**2 - c - 2/5*z**3 = 0.
-2, 1, 2
Determine y so that 0 - 91/4*y**4 + 31/4*y**2 + 49/4*y**5 - 3*y + 23/4*y**3 = 0.
-4/7, 0, 3/7, 1
Find t such that -547/2*t**2 + 67/2*t**3 + 23/2*t**4 + 398*t - 170 + 1/2*t**5 = 0.
-17, -10, 1, 2
Let g = -1/282347 + 564699/1411735. Suppose -6/5*k**4 + 12/5*k**3 + 56/5*k**2 - g*k**5 + 48/5*k + 0 = 0. What is k?
-2, 0, 3
Let h(j) be the second derivative of j**7/126 - j**6/90 - 29*j**5/30 + 28*j**4/9 + 90*j - 2. Solve h(o) = 0.
-8, 0, 2, 7
Let k = 44002/54865 - 22/10973. Let 2/5*h + k*h**3 + 0 + 1/5*h**4 + h**2 = 0. What is h?
-2, -1, 0
Let v = 162167 - 810832/5. What is g in -1/5*g**3 + v - 7/5*g + g**2 = 0?
1, 3
Let g(c) be the second derivative of 5/12*c**4 + 1/2*c**3 + 4 + c + 0*c**2. Determine h so that g(h) = 0.
-3/5, 0
Let b(v) be the third derivative of -1/24*v**6 + 20*v**2 - 1/420*v**7 + 0*v**3 - 4/15*v**5 - 2/3*v**4 + 0*v - 2. Find p such that b(p) = 0.
-4, -2, 0
Suppose -174 = 3*v + 6. Let k be ((-24)/v)/(6/10). Let -k*y**3 - 2/9*y**4 + 2/3*y - 2/9*y**2 + 4/9 = 0. What is y?
-2, -1, 1
Let h be (-4)/(-18) + 800/450. Factor -18*i**3 - 88*i**h - 9*i**2 - 25*i**4 - 64 + 24*i**4 - 77*i - 67*i.
-(i + 1)**2*(i + 8)**2
Let y(t) be the first derivative of 2744*t**5/45 - 1274*t**4/3 - 2422*t**3/9 + 580*t**2/9 + 200*t/3 + 8037. Let y(m) = 0. What is m?
-5/14, 2/7, 6
Suppose 37*o - 32*o - 2*l - 2 = 0, 3*l - 12 = 0. Factor 0 + 56/3*j**o + 58/3*j - 2/3*j**3.
-2*j*(j - 29)*(j + 1)/3
Let g(s) be the second derivative of s**6/180 + 13*s**5/60 + s**4 - 27*s**3/2 + s. Let f(c) be the second derivative of g(c). What is p in f(p) = 0?
-12, -1
