*3 + 5 + 5/16*x**4. Let w(p) be the first derivative of m(p). Factor w(a).
3*a*(a - 2)*(a - 1)**2/4
Let n(g) be the third derivative of 31*g**2 + 0*g - 1/8*g**4 - 1/180*g**5 - 4/9*g**3 + 0. What is a in n(a) = 0?
-8, -1
Suppose 6 = 3*t - 2*t. Let o = 59 - 54. Determine g so that -12*g**3 - g**4 - 1 + 16*g + 3*g**4 - 10*g - 4*g**2 + t*g**o + 3 = 0.
-1, -1/3, 1
Let w(u) = -2*u**4 - 45*u**3 + 77*u**2 + 120*u - 14. Let d(o) = 5*o**4 + 135*o**3 - 230*o**2 - 360*o + 40. Let q(t) = -7*d(t) - 20*w(t). Factor q(l).
5*l*(l - 6)*(l - 4)*(l + 1)
Let v(f) be the third derivative of 6*f**4 + 18/5*f**5 - 30*f**2 + 31/30*f**6 + 0 + 4/35*f**7 + 0*f + 16/3*f**3. Suppose v(x) = 0. What is x?
-2, -2/3, -1/2
Suppose -4*n = -w - 1 + 5, 5*w - 20 = -4*n. Factor 2/5*k**3 + 0*k**2 - 2/5*k + n.
2*k*(k - 1)*(k + 1)/5
Let v(p) = -3*p**3 + p. Let d(r) = -28*r**5 + 260*r**4 + 24*r**3 - 836*r**2 + 732*r - 144. Let i(a) = d(a) + 4*v(a). Suppose i(n) = 0. Calculate n.
-2, 2/7, 1, 9
Let r(h) be the third derivative of -1/8*h**4 - 20*h**2 - 1/360*h**6 + 0*h - 1/30*h**5 + 0*h**3 + 0. Let r(s) = 0. What is s?
-3, 0
Let o = 2/11421 + 11413/45684. Factor -1/2*q - o*q**3 + 0 + 3/4*q**2.
-q*(q - 2)*(q - 1)/4
Factor 0*u**3 - 2*u**3 + 840*u + 3*u**3 - 252 - 530 - 57*u**2 - 2.
(u - 28)**2*(u - 1)
Factor 180 - 6*l**3 + 3*l**3 + 41*l**2 - l**3 - 176*l + 5*l**3.
(l - 2)**2*(l + 45)
Factor -2*w**4 - 19*w**3 + 1680*w**5 - 1679*w**5 + 0*w**4 + 20*w**2.
w**2*(w - 5)*(w - 1)*(w + 4)
Suppose 0*p + 15 = -3*p, 22 = 4*h - 2*p. Let i(v) be the second derivative of 0*v**2 + 1/5*v**5 - 4*v + v**4 + 4/3*v**h + 0. Determine q, given that i(q) = 0.
-2, -1, 0
Factor 14884 + 16*l**2 + 17*l**2 + 488*l - 29*l**2.
4*(l + 61)**2
Suppose -8/11*u**2 - 10/11*u**3 + 0 + 40/11*u + 2/11*u**4 = 0. Calculate u.
-2, 0, 2, 5
Let n = 126 - 251/2. Find b, given that -1/2*b**2 + 1 + n*b = 0.
-1, 2
Let z(o) be the first derivative of -3*o**5/5 - 3*o**4/2 + 51. Solve z(m) = 0 for m.
-2, 0
Let i(k) = 3*k**4 - 3*k**3 - 35*k**2 + 36*k + 11. Let n(w) = -w**4 + w**3 + 12*w**2 - 12*w - 4. Let h(r) = 4*i(r) + 11*n(r). Find t such that h(t) = 0.
-3, 0, 2
Let a = 388 - 386. Let o(d) be the second derivative of 1/15*d**3 + 3*d - 2/5*d**a + 1/30*d**4 + 0. Let o(y) = 0. Calculate y.
-2, 1
Let a(v) be the second derivative of v**4/3 - 20*v**3/3 - 22*v**2 - 18*v - 15. Let a(x) = 0. Calculate x.
-1, 11
Let n = 5346 - 5346. Solve 1/3*p**4 - p**2 + 0*p - 2/3*p**3 + n = 0.
-1, 0, 3
Let l(h) be the second derivative of h**6/270 + 2*h**5/135 + h**4/54 + 6*h**2 + 25*h. Let x(m) be the first derivative of l(m). Determine k so that x(k) = 0.
-1, 0
Find m, given that 867/7 + 102/7*m + 3/7*m**2 = 0.
-17
Let y(z) be the first derivative of -5*z**2 - 8 - 5/4*z**4 + 0*z + 5*z**3. Solve y(w) = 0 for w.
0, 1, 2
Let p(d) = -64*d + 902. Let j be p(14). Let t(g) be the first derivative of -2/3*g**3 + 0*g**2 + 5/4*g**4 + 1/6*g**6 - 4/5*g**5 + 0*g - j. Factor t(s).
s**2*(s - 2)*(s - 1)**2
Let t(m) be the third derivative of 1/780*m**6 - 1/156*m**4 + 0 + 5*m**2 + 0*m**5 + 0*m**3 + 0*m. Factor t(p).
2*p*(p - 1)*(p + 1)/13
Let d be (11 + (-162)/14)/(-3 - 1). Factor -d*k**3 - k + 3/7 + 5/7*k**2.
-(k - 3)*(k - 1)**2/7
Let m be 5*((-3553)/(-190) - 18). Factor 13/2*r + 13*r**2 - 3 + m*r**3.
(r + 1)*(r + 3)*(7*r - 2)/2
Let s(f) be the first derivative of -2*f**5/55 - 2*f**4/11 - 10*f**3/33 - 2*f**2/11 + 114. Factor s(w).
-2*w*(w + 1)**2*(w + 2)/11
Let u(c) = -6*c**5 - 14*c**4 - 5*c**3 + 104*c**2 - 48*c - 149. Let w(y) = -y**5 - y**4 - y**3 - 1. Let s(v) = u(v) - 5*w(v). Determine j so that s(j) = 0.
-6, -1, 2
Suppose 880/9*t**3 + 86/9*t**4 + 0 + 2/9*t**5 - 968/9*t**2 + 0*t = 0. Calculate t.
-22, 0, 1
Let p = 6 + -7. Let w be (p/2)/((-1)/6). Factor 5*s**2 - 6*s**2 + 3*s**2 + w*s - s.
2*s*(s + 1)
Solve -124/7*j**2 - 2/7*j**3 + 254/7*j - 128/7 = 0 for j.
-64, 1
Let t(s) = s - 2. Let g be t(3). Suppose -l = -4 - g. Suppose -4*z + l*z - 3*z - z**2 - 1 = 0. What is z?
-1
Let f be (58/(-6) - -1)*4. Let l = f + 36. Determine h so that 2/3*h**4 + 2/3 + 1/3*h**5 + 1/3*h - l*h**2 - 2/3*h**3 = 0.
-2, -1, 1
Let d(y) = 13*y + 366. Let v be d(-28). Suppose -4/3*a + 4/3*a**3 + 0 - 2*a**4 + v*a**2 = 0. What is a?
-1, 0, 2/3, 1
Let c(w) = 8*w - 2. Let i be c(-2). Let z = i - -24. Determine l so that -z*l**4 - 6*l**3 + 7*l**5 + 2*l**4 - 4*l**2 - l - 8*l**5 = 0.
-1, 0
Let w = -58 - -74. Suppose -3*d - w = -5*q - 5, 9 = -d + 3*q. Let -1/3*o**2 + 0*o + 0 + 1/3*o**d = 0. What is o?
0, 1
Let q(s) be the first derivative of -4*s**2 + 0*s - 4*s**3 + 12/5*s**5 + 2/3*s**6 + s**4 + 13. Factor q(i).
4*i*(i - 1)*(i + 1)**2*(i + 2)
Let c = -241 - -882. Find s such that -1 - 2*s**3 + c*s**2 - s**3 - 636*s**2 - s = 0.
-1/3, 1
Let v be (-1 + (-253)/(-69))/8. Suppose -v*s**2 + 0 - 1/9*s - 1/9*s**4 - 1/3*s**3 = 0. What is s?
-1, 0
Factor 230*t - 43245 - 5*t**2 - 1022*t - 138*t.
-5*(t + 93)**2
Suppose 4*g + 16 = 3*n, n + 2*g - 2 = 5*g. Suppose -14 = -n*w + 2. Let -4/5*j + 0*j**w + 4/5*j**3 + 2/5 - 2/5*j**4 = 0. What is j?
-1, 1
Factor -6*g + 4195*g**2 + 3*g**3 + 42*g - 4175*g**2 + 16.
(g + 2)*(g + 4)*(3*g + 2)
Let w = 294 - 4409/15. Let i(t) be the third derivative of 1/30*t**6 - 1/6*t**4 - w*t**5 + 9*t**2 + 0*t + 0 + 2/105*t**7 + 0*t**3. Suppose i(g) = 0. What is g?
-1, 0, 1
Let x = -249 + 253. Let q(g) be the second derivative of 4*g + 3/20*g**5 + 0*g**2 - 1/2*g**3 + 1/10*g**6 - 1/4*g**x + 0. Factor q(l).
3*l*(l - 1)*(l + 1)**2
Suppose 0*r = 5*r - 45. Find t such that 27 + 2*t**2 - 20*t + 2*t + r*t**2 - 8*t**2 = 0.
3
Let u(b) be the second derivative of 3267*b**4/20 + 33*b**3/5 + b**2/10 - b - 60. Factor u(j).
(99*j + 1)**2/5
Let i(r) = 8*r**3 + 100*r**2 - 200*r + 110. Let u(m) = 17*m**3 + 201*m**2 - 401*m + 222. Let n(k) = -13*i(k) + 6*u(k). Factor n(p).
-2*(p - 1)**2*(p + 49)
Let o be ((-19)/((-228)/60))/35. Let b be ((-4)/28 - 0)*-1. What is k in -1/7*k**2 + b + o*k - 1/7*k**3 = 0?
-1, 1
Let a(w) = w**3 + 4*w**2 + w + 7. Let q be a(-4). Let 15*i**4 + 4*i**5 + 12*i**3 + q*i**3 + i**5 + 5*i**2 = 0. Calculate i.
-1, 0
Let j(n) be the third derivative of -n**6/180 - n**5/15 - n**4/12 + 10*n**3/9 + 20*n**2 + n. Suppose j(h) = 0. Calculate h.
-5, -2, 1
Factor -22/3*k - 8/3 + 2*k**2.
2*(k - 4)*(3*k + 1)/3
Factor -21/2*t**2 - 9/4*t**3 - 1/8*t**4 + 49/4*t + 1029/8.
-(t - 3)*(t + 7)**3/8
Let u = 13537 + -13537. Factor 4/13*r - 2/13*r**2 - 2/13*r**3 + u.
-2*r*(r - 1)*(r + 2)/13
Let c(i) be the third derivative of -i**8/84 - 4*i**7/105 + 2*i**6/15 + 2*i**5/15 - i**4/2 - 96*i**2. Solve c(m) = 0 for m.
-3, -1, 0, 1
Let j(q) be the third derivative of -1/120*q**6 + 0 + 0*q + 7/30*q**5 - 64/3*q**3 - 41*q**2 - 4/3*q**4. Suppose j(l) = 0. Calculate l.
-2, 8
Let t(w) = -38*w**3 + 220*w**2 - 346*w + 77. Let r(x) = -115*x**3 + 660*x**2 - 1040*x + 230. Let b(p) = -3*r(p) + 10*t(p). Determine a so that b(a) = 0.
2/7, 2, 4
Suppose -4*f + f + 9 = 0. Let h be (-7)/(-4) - 5/(-10). Factor 0 + h*l + 3/2*l**2 + 1/4*l**f.
l*(l + 3)**2/4
Let b be -1 - -5 - (4 - 5). Let w(x) = x**2 - 5*x + 3. Let h be w(b). Factor 2*n - n**h - 2*n**2 + 4*n - 6*n.
-n**2*(n + 2)
Let z(c) = 3*c**2. Let v(b) = -b**2 + b. Suppose 26*h = 22*h + 16. Let q(i) = h*v(i) + 2*z(i). Let q(a) = 0. What is a?
-2, 0
Factor -2/11*q**2 - 4/11*q**3 + 4/11*q + 2/11*q**4 + 0.
2*q*(q - 2)*(q - 1)*(q + 1)/11
Let y be 55/150*(-10)/(-110). Let o(q) be the third derivative of -9*q**2 - y*q**6 + 0 + 2/15*q**5 + 0*q + 0*q**4 + 0*q**3. Let o(g) = 0. Calculate g.
0, 2
Suppose -5*x - 1 + 12 = 3*d, 3*x = -5*d + 13. Let r be -2*((-3)/2)/x. Factor -2*i + r*i - i**2 + i.
-i*(i - 2)
Let l(s) be the second derivative of s**6/2 - 24*s**5/5 + 13*s**4 - 8*s**3 + 23*s - 1. Factor l(b).
3*b*(b - 4)*(b - 2)*(5*b - 2)
Suppose -3*z + 3 = -6. Let a be (-15)/35 + 39/(-147)*154/(-44). Factor -1/6 - 1/2*q**2 - 1/6*q**z - a*q.
-(q + 1)**3/6
Let o be (-1014)/297 - (-14)/(-63). Let a = o - -702/187. Factor a*y**2 + 18/17 + 12/17*y.
2*(y + 3)**2/17
Let d(y) be the first derivative of 5*y**6/2 + 69*y**5/5 - 45*y**4/4 - 23*y**3 + 15*y**2 + 88. Find p, given that d(p) = 0.
-5, -1, 0, 2/5, 1
Suppose p = 5*o - 3*o + 1, -5*p + 18 = 3*o. Suppose -4*j + 47 + o = 0. Let 3*r**2 + j*r + r**3 - 12*r = 0. What is r?
-3, 0
Let p = 5639 + -5636. Suppose 2/3*v - 4/3*v**2 + 0 + 2/3*v**p = 0. What is v?
0, 1
Let l