p(r) = -4*r**4 + 146*r**3 + 86*r**2 - 118*r - 96. Let y(x) = -5*p(x) - 14*s(x). Solve y(a) = 0 for a.
-1, -2/3, 1, 8
Let h(g) be the first derivative of 5*g**6/6 - 7*g**5 + 15*g**4/4 + 115*g**3/3 - 80*g**2 + 60*g + 626. What is v in h(v) = 0?
-2, 1, 6
Let n be 35607/77 + 9/(-21). Let l = n - 460. Find c, given that 6/11*c**3 + 0 + 6/11*c**5 - 12/11*c - 18/11*c**l + 18/11*c**4 = 0.
-2, -1, 0, 1
Let b(y) be the third derivative of -y**6/660 + 49*y**5/30 - 6030*y**4/11 - 24300*y**3/11 + 252*y**2 - 1. Suppose b(w) = 0. Calculate w.
-1, 270
Let l(f) = -54*f + 335. Let b be l(6). Let k(r) be the second derivative of 0*r**3 - 3/4*r**5 - 3/2*r**4 + 0*r**2 - b*r + 0 - 1/10*r**6. Factor k(w).
-3*w**2*(w + 2)*(w + 3)
Suppose -30 = 8*j - 54. Factor 555/4*p**2 + 945*p - 245 + 5*p**j.
5*(p + 14)**2*(4*p - 1)/4
Suppose k = 4*n - 769, 3*k - 159*n + 2255 = -160*n. Let g = k - -753. Let -2*x**5 - 34/3*x**4 + g*x - 22*x**3 - 46/3*x**2 + 8/3 = 0. What is x?
-2, -1, 1/3
Let s(t) = -7*t**2 + 10*t - 22. Let y(w) be the third derivative of -3*w**5/20 + w**4/2 - 7*w**3/2 - 99*w**2. Let h(x) = 6*s(x) - 5*y(x). Factor h(o).
3*(o - 3)*(o + 3)
Let p(o) be the first derivative of -o**4/12 - o**3 - 23*o**2/6 - 5*o - 940. Factor p(h).
-(h + 1)*(h + 3)*(h + 5)/3
Factor -551*s + 303601/2 + 1/2*s**2.
(s - 551)**2/2
Let s(o) = -o**3 - 7*o**2 + 6. Let c(r) = r**2 + r. Let d(z) = -16*z + 162. Let x be d(10). Let t(j) = x*s(j) + 22*c(j). Factor t(h).
-2*(h - 6)*(h + 1)**2
Let m = -5013539/140 + 35811. Let d(k) be the second derivative of m*k**5 + 0 + 1/84*k**4 + 41*k - 1/14*k**2 - 1/42*k**3. Factor d(b).
(b - 1)*(b + 1)**2/7
Let y(d) be the third derivative of 1/525*d**7 + 13*d**2 + 7/300*d**6 + 1/30*d**5 - 2/5*d**3 + 1 - 7/60*d**4 + 0*d. Factor y(m).
2*(m - 1)*(m + 1)**2*(m + 6)/5
Let t(v) be the second derivative of 0 + 2*v**3 + 2*v + 54/5*v**2 + 1/20*v**4. Solve t(r) = 0.
-18, -2
Let v(b) be the first derivative of b**3/5 - 7491*b**2/5 + 18705027*b/5 - 3407. Find s such that v(s) = 0.
2497
Let v = 5037 - 5032. Let c(f) be the second derivative of 0 + 13*f + 1/12*f**3 + 3/40*f**v + 1/60*f**6 + 1/8*f**4 + 0*f**2. Factor c(g).
g*(g + 1)**3/2
Suppose 0*f - 33 = 2*f - 3*r, -f = 4*r - 11. Let y be 30/(-6) + (336/f)/(-7). What is m in 0 - m - y*m**2 = 0?
-3, 0
Let w(o) be the second derivative of o**7/105 + 28*o**6/75 + 221*o**5/50 + 169*o**4/15 + 13*o - 7. Suppose w(i) = 0. Calculate i.
-13, -2, 0
Let b(a) be the second derivative of -6*a**2 + 0 - 4/3*a**3 - 19*a + 1/3*a**4. Suppose b(q) = 0. What is q?
-1, 3
Let j be (-9)/(-12) + (-72)/(-32). Suppose s + 14 = j*b, 2*s - 16 = -3*b + 4*s. Find g, given that g**b - 4*g**3 + 3 - 2*g**3 - 4*g**4 + 6*g = 0.
-1, 1
Suppose -123003*h + 11 = -122987*h - 3*l, 5*h = 2*l - 4. Factor 87/8*i + 9/8*i**3 + 141/8*i**h - 45/8.
3*(i + 1)*(i + 15)*(3*i - 1)/8
Let c = 884115 + -206882563/234. Let b = 2/117 + c. Factor -4*y**3 + 0 - 1/6*y - 8/3*y**4 - b*y**2.
-y*(y + 1)*(4*y + 1)**2/6
Let m(o) be the first derivative of -2*o**5/5 + 200*o**4 - 1594*o**3/3 + 398*o**2 + 7792. Factor m(s).
-2*s*(s - 398)*(s - 1)**2
Let c(d) be the second derivative of -d**5/12 + 105*d**4/4 - 470*d**3/9 - 4*d - 1178. Solve c(h) = 0 for h.
0, 1, 188
Let g be 2/17 + ((-196)/(-17))/4. Factor 3*y**2 - 11*y**2 + 7*y**g - 148*y - 3*y**3 + 148*y.
4*y**2*(y - 2)
Suppose 103*f + 6 = 106*f. Let k = 4220 - 4220. Factor -1/3*i**3 + k + 1/3*i**f + 0*i.
-i**2*(i - 1)/3
Let h(o) be the first derivative of -110 - 1/10*o**6 + 0*o**2 - 4/5*o**3 - 18/25*o**5 - 27/20*o**4 + 0*o. Factor h(l).
-3*l**2*(l + 1)**2*(l + 4)/5
Let s(u) = 14*u**4 - 72*u**3 + 20*u**2 + 192*u + 126. Let w(l) = 5*l**4 - 25*l**3 + 7*l**2 + 64*l + 42. Let r(y) = 3*s(y) - 8*w(y). Factor r(z).
2*(z - 7)*(z - 3)*(z + 1)**2
Let a(h) be the third derivative of 5*h**5/36 - 865*h**4/18 + 230*h**3/3 + 8188*h**2 + 2*h. Determine k, given that a(k) = 0.
2/5, 138
Let y be -4*(-6)/(-25) + 11/11. Let f(d) be the third derivative of -y*d**6 + 16*d**2 + 0 - d**4 + 0*d - 23/75*d**5 - 5/3*d**3 - 1/525*d**7. Factor f(z).
-2*(z + 1)**2*(z + 5)**2/5
Let a be (-2 - 10/(-6)) + 4/12. Suppose a = -4*l + 16, -3*q + 2*q + 4*l - 16 = 0. Solve -6 + q - 5*w**2 + 4*w - 4*w + 17*w = 0.
2/5, 3
Let o = -98575 - -394445/4. Suppose -15/4*m**4 + 75/4*m**3 + 1/4*m**5 + 30*m - 9 - o*m**2 = 0. Calculate m.
1, 6
Solve -2/5*s**5 - 288/5*s + 94/5*s**3 + 204/5*s**2 + 0 - 8/5*s**4 = 0 for s.
-8, -3, 0, 1, 6
Let o(r) = -3*r**3 - 2*r**2 + 80*r - 80. Let q(l) = -l**2 + l - 1. Let n(x) = o(x) - 5*q(x). Factor n(z).
-3*(z - 5)*(z - 1)*(z + 5)
Suppose -41*i - 14 = -178. Let h(z) be the first derivative of -5/3*z**3 - z + 1/2*z**i - 7 + 2*z**2. Factor h(n).
(n - 1)**2*(2*n - 1)
Let j(t) = -27*t - 7. Let a be j(-1). Suppose -3*w + a = 14. What is y in 20*y**w + 18*y**3 + y - 5*y - 34*y**3 = 0?
0, 1/4, 1
Let v(n) be the first derivative of -n**4/10 - 122*n**3/15 - 176*n**2/5 - 232*n/5 + 31. Factor v(m).
-2*(m + 1)*(m + 2)*(m + 58)/5
Let a(b) be the first derivative of 25/2*b**2 - 11/6*b**3 + 1/60*b**5 + 5/12*b**4 - 50 + 0*b. Let h(i) be the second derivative of a(i). Factor h(y).
(y - 1)*(y + 11)
Let h(n) be the third derivative of n**6/1200 - 13*n**5/200 - 17*n**4/5 - 176*n**3/3 + 6879*n**2. Factor h(i).
(i - 55)*(i + 8)**2/10
Let c(k) = 7*k - 158. Let f be c(26). Determine t, given that 14*t - 13*t - t**2 - f + 71 - 27 = 0.
-4, 5
Suppose 50 = 2*d - 5*r, 5*r + 170 = -228*d + 238*d. Find y such that d*y - 21/2*y**2 + 3/2*y**3 + 0 = 0.
0, 2, 5
Let 0 - 16/7*y + 1/7*y**3 - 15/7*y**2 = 0. Calculate y.
-1, 0, 16
Let r(y) be the first derivative of y**3/3 - 575*y**2 - 1151*y - 11624. Factor r(a).
(a - 1151)*(a + 1)
Let u be ((-7140)/9)/(1/(-39)). Let k be 2/(-20) + 14/(u/32981). Solve -54/17*s**3 - 108/17*s**4 + 16/17 - 8*s + k*s**2 = 0 for s.
-2, 1/6, 2/3
Let y = 2/2177 - -1877/326550. Let x(a) be the third derivative of 1/60*a**4 + 0 - 1/300*a**6 - y*a**5 + 8*a**2 + 1/15*a**3 + 0*a. Find o such that x(o) = 0.
-1, 1
Suppose 18 = 2*r - 4*s - 0, 2*r + 4*s + 6 = 0. Factor 4*o**r + 2*o + 2*o**4 - o - 5*o + 1 - 3.
2*(o - 1)*(o + 1)**3
Let s(f) = -24*f. Let j = -39 - -36. Let a be s(j). Determine k, given that -6 + 81*k**4 - 102*k**3 + a*k**2 - 21*k**4 - 27*k**3 + 3*k = 0.
-1/4, 2/5, 1
Find i, given that -114*i**4 + 1173*i**3 - 35*i - 1011*i**3 + 7*i**5 - 19*i + 2*i**2 - 3*i**5 = 0.
-1/2, 0, 1, 27
Let o(z) be the first derivative of -4*z**6/15 - 3*z**5/5 + 2*z**4/3 + 58*z - 216. Let x(y) be the first derivative of o(y). Factor x(t).
-4*t**2*(t + 2)*(2*t - 1)
Let p(k) be the first derivative of -5*k**6/6 + 12*k**5 - 75*k**4/2 - 680*k**3/3 + 3675*k**2/2 - 4500*k + 951. Solve p(j) = 0 for j.
-4, 3, 5
Let z(d) = -4*d**2 - 8*d + 23. Let j(p) = -p**2 + 2*p + 12. Let k(l) = 3*j(l) - z(l). Determine y, given that k(y) = 0.
-13, -1
Let x = 1401 - 1398. Let o(u) be the first derivative of -8 + 1/10*u**4 + 2/15*u**x + 0*u**2 + 0*u. Solve o(p) = 0.
-1, 0
Let p(r) be the first derivative of r**9/15120 + r**8/1680 + r**7/600 + r**6/600 - r**3/3 - 3*r + 47. Let t(z) be the third derivative of p(z). Factor t(n).
n**2*(n + 1)**2*(n + 3)/5
Let a(v) be the third derivative of 5*v**7/42 + 2*v**6 + 65*v**5/12 + 5*v**4/4 - 40*v**3/3 + v**2 - 13*v + 68. Factor a(t).
5*(t + 1)**2*(t + 8)*(5*t - 2)
Let b(u) be the second derivative of u**5/12 - 5*u**4/6 + 10*u**3/3 + 93*u**2 - 168*u. Let w(s) be the first derivative of b(s). Suppose w(g) = 0. What is g?
2
Let d(t) = -2*t**3 + 22*t**2 + 2*t - 20. Let s be d(11). Suppose 2*n = -3*y - 13 + 17, 0 = -s*y + 3*n + 7. Let 6*c - 15/7 + 9/7*c**y = 0. What is c?
-5, 1/3
Factor -1472*o**5 - 2220*o**2 + 1325*o**5 - 958*o**4 - 596*o**4 - 300*o - 4527*o**3.
-3*o*(o + 5)**2*(7*o + 2)**2
Factor -88/9*d + 16 - 100/9*d**2 - 28/9*d**4 + 2/9*d**5 + 34/3*d**3.
2*(d - 9)*(d - 2)**3*(d + 1)/9
Let z(c) be the second derivative of -c**7/126 + c**6/6 - 13*c**5/60 - 5*c**4/12 + 7*c**3/9 - 3*c + 272. Determine h so that z(h) = 0.
-1, 0, 1, 14
Let w(v) = 36*v - 34. Let m be w(1). Let s(k) be the third derivative of 1/20*k**6 + 0*k - 1/140*k**7 + 0 + 0*k**3 + 1/8*k**4 - 2*k**m - 1/8*k**5. Factor s(g).
-3*g*(g - 2)*(g - 1)**2/2
Let i(a) = -2*a - 22. Let w be i(-12). Factor 1715 + 136*f**2 + 234*f**2 + 51*f**4 - 530*f**3 + 2695*f + 44*f**4 - 5*f**5 - 20*f**w.
-5*(f - 7)**3*(f + 1)**2
Let r(v