3*r**3 + 1/3*r**4. Factor j(h).
4*(h - 5)*(h - 3)
Let o(t) be the first derivative of t**6/24 - 3*t**5/10 + t**4/2 + t**3/2 - 9*t**2/8 - 59. Factor o(j).
j*(j - 3)**2*(j - 1)*(j + 1)/4
Let g(f) be the second derivative of 49/4*f**2 - 13*f + 0 + 1/24*f**4 - 7/6*f**3. Solve g(l) = 0 for l.
7
Let n(v) be the third derivative of -v**8/6720 + v**7/1260 - v**6/720 - v**4/3 + 5*v**2. Let a(c) be the second derivative of n(c). Find o such that a(o) = 0.
0, 1
Suppose -70 = -63*r + 28*r. Find f, given that -1/5*f**3 + 1/5*f + 0*f**r + 0 = 0.
-1, 0, 1
Determine u so that 21/2*u**4 + 0 + 4*u - 9/2*u**5 + u**3 - 10*u**2 = 0.
-1, 0, 2/3, 2
Suppose 0 = 2*m + 3*m - 20, 0 = -4*t + 2*m. Suppose -t*w = 5*o - 6*w - 30, 2*w + 6 = -2*o. Find p such that p - 9*p**2 - 5*p**3 + 18*p**2 - 13*p**o = 0.
-1, 0, 1/5
Let q(i) be the first derivative of 0*i + 0*i**4 - 1/50*i**5 - 1/300*i**6 + i**2 - 1 + 4/15*i**3. Let s(g) be the second derivative of q(g). Factor s(z).
-2*(z - 1)*(z + 2)**2/5
Suppose -p + 4 = -0*p. Let g be 3/p*16/6. Let m(d) = -4*d**2 - 2*d + 2. Let o(a) = 5*a**2 + 2*a - 3. Let r(c) = g*o(c) + 3*m(c). Factor r(z).
-2*z*(z + 1)
Suppose -20*k + 45 + 35 = 0. Let d(h) be the second derivative of 7/30*h**5 + 0 + 3*h - 2/3*h**2 + 11/9*h**3 - 8/9*h**k. Factor d(b).
2*(b - 1)**2*(7*b - 2)/3
Let g(m) = -2*m**3 - 2*m**2 + 87*m + 89. Let p be g(-1). Solve 30/11*o**3 - 16/11*o + 2*o**p - 8/11 = 0 for o.
-1, -2/5, 2/3
Let d(t) be the third derivative of t**8/840 - t**7/150 - t**6/120 + t**5/75 - 170*t**2. Suppose d(v) = 0. Calculate v.
-1, 0, 1/2, 4
Suppose 2*t = 4*v + 364, 4*v = 3*v - 3*t - 84. Let p be 2 - 5*(-24)/v. Factor 8/3*i**2 + 4/3*i**5 - 1/3 - 7/3*i**4 - 2/3*i - p*i**3.
(i - 1)**3*(i + 1)*(4*i + 1)/3
Factor -2/5*i**2 - 4/5 + 7/5*i - 1/5*i**3.
-(i - 1)**2*(i + 4)/5
Let o(q) be the first derivative of q**7/1260 - q**5/180 - 2*q**3/3 + 17. Let d(h) be the third derivative of o(h). Determine w so that d(w) = 0.
-1, 0, 1
Let c = 252/211 + -88532/633. Let k = c + 140. Find a such that 2/3*a**2 + 0 - k*a + 2/3*a**3 = 0.
-2, 0, 1
Let k(n) be the second derivative of 1/32*n**4 - 1/80*n**6 - 8 - 3/160*n**5 + 0*n**2 + 1/16*n**3 - 2*n. Determine x so that k(x) = 0.
-1, 0, 1
Suppose -45*z + 36 = -36*z. Let t = -2 + 4. Determine n, given that -2*n + 63*n**4 + 2*n**5 - 3*n**t - 59*n**z - n**2 = 0.
-1, 0, 1
Suppose -2*t = -t + 101. Let y = t + 708/7. Suppose -3/7*j**4 - y + 2/7*j**3 + 0*j - 2/7*j**5 + 4/7*j**2 = 0. What is j?
-1, 1/2, 1
Let w(r) be the first derivative of 12 - 3/2*r - 1/2*r**3 - 3/2*r**2. Factor w(o).
-3*(o + 1)**2/2
Let k = 7142 + -2206880/309. Let i = k - -317/1236. Determine q, given that 1/4 + i*q**3 - 1/4*q**2 - 1/4*q = 0.
-1, 1
Factor -40*d**4 - 5*d**5 + 54*d**3 - 5*d**4 - 174*d**3 - 100*d**2.
-5*d**2*(d + 2)**2*(d + 5)
Let b(s) = -s**3 - s**2. Suppose -5*h + 12 = -3*t - 10, h - 4 = t. Let p(q) = 9*q**3 - 16*q**2 - 15*q + 90. Let d(i) = t*p(i) + 4*b(i). Factor d(u).
5*(u - 3)**2*(u + 2)
Let n be 2*(-18)/(-27)*(-9)/(-6). Let j(w) be the second derivative of 1/12*w**3 + 1/24*w**4 - 1/60*w**6 - 1/40*w**5 + 0 + 0*w**n - 3*w. Factor j(k).
-k*(k - 1)*(k + 1)**2/2
Let v(y) be the second derivative of -5*y**7/42 + y**6 + 4*y**5 - 265*y**4/6 - 25*y**3/2 + 250*y**2 + 9*y + 46. What is g in v(g) = 0?
-4, -1, 1, 5
Let a(s) = s**3 + 2*s**2 - s - 7. Let u = -54 - -56. Let h(d) = 1. Let y(b) = u*a(b) + 10*h(b). Factor y(w).
2*(w - 1)*(w + 1)*(w + 2)
Let z = 62 + -62. Factor 4 - 4*q**3 - 2*q**3 + z*q**3 - 3*q**2 + 5*q**3.
-(q - 1)*(q + 2)**2
Find p, given that -1/6*p**4 + 19/2*p**2 - 38/3 - 2/3*p - 8/3*p**3 = 0.
-19, -1, 2
Suppose -44*d + 45*d - 7 = 0. Let w(q) be the first derivative of 4*q + 3/2*q**4 + 16/3*q**3 + d*q**2 - 2. Find v, given that w(v) = 0.
-1, -2/3
Let l(w) be the second derivative of 0*w**2 - 15*w - 2/5*w**6 + 0*w**4 + 0*w**3 + 0 - 2/21*w**7 - 2/5*w**5. Factor l(d).
-4*d**3*(d + 1)*(d + 2)
Let b(c) = 4*c - 9. Let g be b(4). Determine i so that 24 + 33*i**2 - i - 24 + 48*i**3 + 21*i**4 + g*i = 0.
-1, -2/7, 0
Let z(x) be the second derivative of -1/60*x**6 + 21*x + 1/3*x**4 + 0*x**5 + 0 + 0*x**3 - 4*x**2. Factor z(n).
-(n - 2)**2*(n + 2)**2/2
Let t(x) be the third derivative of x**6/480 - x**5/120 - 7*x**4/96 - x**3/6 + 11*x**2 - 5. Factor t(k).
(k - 4)*(k + 1)**2/4
Let o(h) = -13*h**2 + 32*h - 248. Let j(d) = 16*d**2 - 32*d + 246. Let u(z) = -4*j(z) - 5*o(z). Factor u(c).
(c - 16)**2
Let x = -231 + 240. Suppose x = 2*h + 5. Factor -2/9*z**3 - 50/3*z + 10/3*z**h + 250/9.
-2*(z - 5)**3/9
Let f(s) = -126*s + 2144. Let v be f(17). Factor 2/3*d**v + 0*d - 2/3.
2*(d - 1)*(d + 1)/3
Let w(o) = o**3 - 10*o**2 + 11*o - 15. Let g be w(9). Factor -15*l + 60 + 9*l**2 - 3*l**4 - 29 - 25 + 3*l**g.
-3*(l - 1)**3*(l + 2)
Let g = 46197 - 46195. Determine a so that 0 + 1/2*a**3 - 3/2*a**4 + a**g + 0*a = 0.
-2/3, 0, 1
Let l(y) be the third derivative of -5*y**8/84 + 3*y**7/14 - y**6/12 - 2*y**5/3 + 5*y**4/4 - 5*y**3/6 + 185*y**2 - y. Find j such that l(j) = 0.
-1, 1/4, 1
Suppose c + 35 = 3*b, 3*b - 36 = 5*c + 7. Let r be (-1)/((-3)/b) - 4/6. Factor -1/4*d**4 + 0 + 1/4*d**2 - 1/4*d**5 + 1/4*d**r + 0*d.
-d**2*(d - 1)*(d + 1)**2/4
Let p(z) be the second derivative of -4*z**2 - 1/3*z**4 - 5/3*z**3 + 5*z + 0 - 1/40*z**5. Determine m, given that p(m) = 0.
-4, -2
Let i(k) be the third derivative of -2*k**7/945 - k**6/90 + k**5/135 + k**4/18 + 11*k**2 - 1. What is v in i(v) = 0?
-3, -1, 0, 1
Let c = 1/1275 - -1131/2975. Let i(d) be the second derivative of -11/21*d**3 + 0 - 3*d - 1/10*d**5 - c*d**4 - 2/7*d**2. What is j in i(j) = 0?
-1, -2/7
Factor -4/5*d**3 + 0*d**2 + 0*d + 18/5*d**4 + 0.
2*d**3*(9*d - 2)/5
Suppose -25/3*u**2 + 65/3*u + 10 = 0. Calculate u.
-2/5, 3
Let y = 55798/7 - 7970. Factor -2/7*k**2 + y + 0*k.
-2*(k - 2)*(k + 2)/7
Let c(z) be the third derivative of z**9/423360 + z**8/70560 + z**7/35280 + z**5/15 + 4*z**2. Let d(b) be the third derivative of c(b). Factor d(r).
r*(r + 1)**2/7
Let u = 140 + -87. Factor 7*h**4 - u*h**4 - 107*h**4 + 4*h**2 - 10*h**2 + 69*h**3.
-3*h**2*(3*h - 1)*(17*h - 2)
Let g(v) be the first derivative of v**9/1512 - v**8/840 + 2*v**3/3 + 3. Let t(b) be the third derivative of g(b). Factor t(y).
2*y**4*(y - 1)
Let g = 576 - 574. Let s be (-2)/10*10/(-4). Find o such that s*o**3 + 1/4 - 1/4*o**g - 1/2*o = 0.
-1, 1/2, 1
Suppose -4*n = q - 8 - 5, -5*n + 5*q = -10. Suppose x = -0*x + n. Factor 8*y - 1 - y**2 - 13*y + x*y.
-(y + 1)**2
Let y be (-10)/15 - 44/(-12). Factor 3*k**3 + 11*k**3 + 14*k**4 + 2*k**5 + 26*k**3 + 24*k**2 - 8*k**y.
2*k**2*(k + 2)**2*(k + 3)
Suppose 4*v - 20 = -v. Factor -6*m**3 + 18*m**2 + 2*m - 932*m**4 + 924*m**v - 6*m.
-2*m*(m - 1)*(m + 2)*(4*m - 1)
Let s(w) = -5*w**3 + 6*w**2 + 9*w - 10. Let f(k) = -70*k**3 + 85*k**2 + 125*k - 140. Let y(u) = -6*f(u) + 85*s(u). Determine x so that y(x) = 0.
-2, 1
Let y(z) be the third derivative of z**8/84 + 4*z**7/35 + z**6/15 - 16*z**5/15 - z**4/2 + 20*z**3/3 + 158*z**2. Find a such that y(a) = 0.
-5, -2, -1, 1
Let x(j) be the third derivative of 0 + 1/8*j**4 + 0*j**3 - 15*j**2 - 1/16*j**5 + 0*j + 1/160*j**6. Factor x(p).
3*p*(p - 4)*(p - 1)/4
Let u(n) = -46*n**2 - 3314*n - 144. Let d be u(-72). Factor d*c**2 + 1/2*c**5 + 0 + 0*c**3 + 1/3*c**4 + 0*c.
c**4*(3*c + 2)/6
Let a(w) be the third derivative of 0*w - 1/6*w**6 + 0*w**3 - 1/42*w**7 - 5/12*w**4 + 35*w**2 - 5/12*w**5 + 0. Factor a(p).
-5*p*(p + 1)**2*(p + 2)
Let j(x) be the first derivative of -x**6/45 - x**5/10 + 4*x**3/9 - 3*x - 18. Let c(u) be the first derivative of j(u). Factor c(h).
-2*h*(h - 1)*(h + 2)**2/3
Let o(w) be the first derivative of w**6/15 - 8*w**5/25 + 3*w**4/5 - 8*w**3/15 + w**2/5 - 399. Suppose o(c) = 0. What is c?
0, 1
Let f(q) be the second derivative of -q**7/84 + q**6/20 + 3*q**5/20 - 5*q**4/12 - 7*q**3/4 - 9*q**2/4 + 249*q. Suppose f(n) = 0. Calculate n.
-1, 3
Let d(y) = -319*y - 3509. Let z be d(-11). Find h, given that z - 12/5*h + 2/5*h**3 - 2/5*h**2 = 0.
-2, 0, 3
Let m(v) be the second derivative of 0*v**2 + 0 - 4*v - 1/4*v**4 + 1/2*v**3. Factor m(a).
-3*a*(a - 1)
Let 18/5*j - 16/5 - 2/5*j**2 = 0. What is j?
1, 8
Let a be (442/40)/17*(-392)/(-2). Let c = 128 - a. Let 0 + 3/5*k + c*k**2 = 0. Calculate k.
-1, 0
Let q = 451/3150 - 1/3150. Factor -3/7 + 2/7*t + q*t**2.
(t - 1)*(t + 3)/7
Factor 324/7 + 