*p**3.
-(p - 1)*(p + 3)*(p + 7)/2
Let q(b) be the second derivative of 0*b**2 + 0 + 0*b**3 - 1/33*b**4 - 1/110*b**5 + b + 1/165*b**6. Solve q(s) = 0 for s.
-1, 0, 2
Let a(r) be the second derivative of -3*r + 0*r**2 + 0 + 1/3*r**4 + 2/3*r**3. What is i in a(i) = 0?
-1, 0
Suppose -4*w + 99 = 27. Factor -3*z**3 + 10*z**3 + 11*z**2 - 45*z + w*z**3 + 5*z**4 + 4*z**2.
5*z*(z - 1)*(z + 3)**2
Let x(r) be the first derivative of 4*r**5/15 - 2*r**4/3 - 28*r**3/9 - 8*r**2/3 + 18. What is f in x(f) = 0?
-1, 0, 4
Let h(f) be the second derivative of -9/2*f**3 - 3/20*f**5 - 5*f + 9/8*f**4 + 0 + 1/120*f**6 + 7/2*f**2. Let v(b) be the first derivative of h(b). Factor v(q).
(q - 3)**3
Let a(n) be the first derivative of -37 + 1/22*n**4 + 8/11*n**3 + 20/11*n + 21/11*n**2. Determine j so that a(j) = 0.
-10, -1
Let f(h) = 1. Let p(d) = -6*d**2 + 7*d + 2. Let l(t) = -4*f(t) + p(t). Factor l(n).
-(2*n - 1)*(3*n - 2)
Let p = 48 + -26. Suppose 3*u + 13 = p. Factor -l**u + l + 3*l - 8 + 0*l + 2*l**2.
-(l - 2)**2*(l + 2)
What is r in -14/3*r + 2/3 - 7/6*r**5 - 73/6*r**3 + 67/6*r**2 + 37/6*r**4 = 0?
2/7, 1, 2
Let g(o) be the second derivative of -3*o**5/20 + 3*o**4/4 + o**3/2 - 9*o**2/2 + 154*o. Factor g(w).
-3*(w - 3)*(w - 1)*(w + 1)
Let -920*g - 2116/7 - 1/7*g**5 - 95/7*g**4 - 2395/7*g**3 - 6625/7*g**2 = 0. What is g?
-46, -1
Let m(f) be the first derivative of f**6/12 - f**5/10 - f**4/4 + 94. Find r, given that m(r) = 0.
-1, 0, 2
Let p(i) be the third derivative of i**5/180 + i**4/9 + 5*i**3/6 + i**2 + 38*i. Solve p(q) = 0 for q.
-5, -3
Let u(a) be the third derivative of a**7/42 - a**6/6 - a**5 + 390*a**2. Factor u(t).
5*t**2*(t - 6)*(t + 2)
Suppose 5*i + 5*i = 30. Suppose -d = -i*d - d. Factor 0*r + 0*r**2 + 1/5*r**4 + 1/5*r**3 + d.
r**3*(r + 1)/5
Let f(g) be the second derivative of -g**4/42 + 8*g**3/7 - 23*g**2/7 + 132*g. What is u in f(u) = 0?
1, 23
Suppose 0 = -d - 3*g + 6, -2*g = -2*d - 0*d - 28. Let i be (-8)/6*d/2. Suppose i*s**2 - 10 + 10 + 3*s**3 = 0. What is s?
-2, 0
Let i be 666/2 + 18/(-6). Let h be i/(-54) + 4 - -3. Determine x, given that -h + 40/9*x - 50/9*x**2 = 0.
2/5
Let x(o) be the first derivative of o**5/10 - o**4/2 + 4*o**2 - 26*o - 25. Let v(i) be the first derivative of x(i). Factor v(m).
2*(m - 2)**2*(m + 1)
Suppose -10*j + 16 = -6*j. Suppose -6*w = j*w - 20. Factor 0 - 2/11*u**w + 0*u.
-2*u**2/11
Let k(o) = o - 1. Let l be k(-2). Let f be (-3)/l*-1 + (1 - -2). Factor -22/3*p - 20/3*p**3 + 92/9*p**2 - 2/9*p**5 + 2 + f*p**4.
-2*(p - 3)**2*(p - 1)**3/9
Let q be ((-4)/(-11))/((-795)/165 + 5). Factor 2/9 + 2/9*d**q - 4/9*d.
2*(d - 1)**2/9
Let p(c) be the third derivative of 9/448*c**8 + 0 + 7/160*c**6 + 0*c**4 + 0*c**3 + 8*c**2 - 3/56*c**7 - 1/80*c**5 + 0*c. Suppose p(u) = 0. What is u?
0, 1/3, 1
Let n(c) be the first derivative of c**4/16 + 7*c**3/12 - c**2/8 - 7*c/4 - 172. Find g such that n(g) = 0.
-7, -1, 1
Let m be 51/9 - (0 + (-6)/(-9)). Suppose -2*q - 5 = -k, 4*k - 4*q + 5 = m*k. Determine d, given that -d + 3/2*d**3 - 1/2*d**2 + 1/2*d**4 + 0 - 1/2*d**k = 0.
-1, 0, 1, 2
Let v = -22087/10 - -4421/2. Find u such that 6/5*u + 1/5*u**2 + v = 0.
-3
Let g(f) = -40*f + 10. Let b be g(2). Let m be (3/15)/((-7)/b). Factor -48/5*d + 16/5*d**3 + 8/5*d**m - 36/5 - 4/5*d**4.
-4*(d - 3)**2*(d + 1)**2/5
Suppose -2*f = -0*f - 2. Let x be ((-6)/9)/(-1*f/6). Find k such that 3/2*k**2 + 0 + 7/2*k**x + k - 6*k**3 = 0.
-2/7, 0, 1
Suppose 132/5*d**2 + 36/5*d - 12/5*d**5 + 0 - 87/5*d**4 - 69/5*d**3 = 0. What is d?
-6, -2, -1/4, 0, 1
Let o(z) be the first derivative of 56 + 16*z + 1/2*z**4 - 4*z**2 - 4/3*z**3. Factor o(w).
2*(w - 2)**2*(w + 2)
Let d(k) = k**2 + 25*k - 28. Let g(v) = 3*v**2 + 72*v - 82. Let j(c) = 7*d(c) - 2*g(c). Solve j(n) = 0 for n.
-32, 1
Let x be (18/(-12)*2)/(2/(-6)). Suppose -156*y - x = -159*y. Factor 0 + 1/4*t**4 - 1/2*t**y + 0*t + 1/4*t**2.
t**2*(t - 1)**2/4
Suppose -60 = o + 3*o. Let y be ((-12)/(-8))/(o/(-20)). Factor 1 - t - 13*t**2 + 12*t**y + t.
-(t - 1)*(t + 1)
Determine z, given that 11*z - 3*z - 136 + 28 + 11*z**2 - 9*z**2 + 42*z = 0.
-27, 2
Let b(u) be the second derivative of -u**7/16380 + u**6/4680 + u**4/6 - 12*u. Let n(r) be the third derivative of b(r). Factor n(h).
-2*h*(h - 1)/13
Let a = 7072 + -134360/19. Let 6/19 + a*l + 2/19*l**2 = 0. Calculate l.
-3, -1
Let d(w) be the first derivative of 1/4*w**6 + 0*w**5 - 4*w**3 + 0*w + 11 - 9/4*w**4 - 9/4*w**2. Factor d(y).
3*y*(y - 3)*(y + 1)**3/2
Let c be ((-4)/24)/(112/(-64)). Let a(j) be the third derivative of -1/140*j**6 + 1/28*j**4 + 0 + 6*j**2 - c*j**3 + 0*j + 1/105*j**5. Factor a(b).
-2*(b - 1)*(b + 1)*(3*b - 2)/7
Let s(u) be the first derivative of -4*u**5/5 + 4*u**4 - 8*u**3/3 - 8*u**2 + 12*u - 49. What is n in s(n) = 0?
-1, 1, 3
Let d(w) be the first derivative of -40 - 7/4*w**4 + 83/6*w**3 + 225/4*w + 1/20*w**5 + 105/2*w**2. Find u such that d(u) = 0.
-1, 15
Let d(i) = -74*i**3 + 91*i**2 + 71*i + 2. Let s(r) = 77*r**3 - 92*r**2 - 71*r - 1. Let w(j) = 5*d(j) + 4*s(j). Suppose w(p) = 0. Calculate p.
-1/2, -3/31, 2
Let f(x) be the third derivative of 0*x**5 + 0*x**7 + 0*x**3 + 26*x**2 - 1/60*x**6 + 1/24*x**4 + 0*x + 1/336*x**8 + 0. Solve f(p) = 0.
-1, 0, 1
Let t(r) be the second derivative of -r**4/60 - 77*r**3/15 - 5929*r**2/10 + 38*r. Factor t(d).
-(d + 77)**2/5
Let m be (-48)/30*((-84)/16 - -3). What is f in 76/5*f**2 - m*f**3 + 16/5 - 88/5*f = 0?
2/9, 2
Let h(j) be the second derivative of -2*j**4/27 + 166*j**3/27 - 82*j**2/9 + 3*j + 130. Factor h(u).
-4*(u - 41)*(2*u - 1)/9
Let w be (-14 - (-8 + -8))*1. Suppose 3/7*n**3 + 0 - 9/7*n**w + 6/7*n = 0. What is n?
0, 1, 2
Suppose -a = -2*a - 4*p + 15, 34 = 4*a + 3*p. Suppose 8 = a*n - 6. Suppose -4*t + 15/4*t**n + 1 = 0. What is t?
2/5, 2/3
Let d(m) be the first derivative of 5*m**6/6 - 8*m**5 + 125*m**4/4 - 190*m**3/3 + 70*m**2 - 40*m - 64. Let d(a) = 0. What is a?
1, 2
Let s be (-38)/(-14) - (-2)/7. Let w be (-12)/8*(-4)/s. Factor 8*l**2 + 12*l**w - 4*l**2 - 4*l**3 - 12*l.
-4*l*(l - 3)*(l - 1)
Let j(g) be the second derivative of g**9/5040 + 3*g**8/2240 + g**7/420 + 3*g**4 + 10*g. Let b(t) be the third derivative of j(t). Factor b(r).
3*r**2*(r + 1)*(r + 2)
Let u = 493 - -128. Let g = u - 4331/7. Suppose -g*z - 12/7*z**2 + 4/7*z**4 + 8/7*z**3 + 16/7 = 0. What is z?
-2, 1
Suppose 12*a**3 - 4*a**5 - 4*a**4 - 149 + 4*a**2 - 8*a + 149 = 0. What is a?
-2, -1, 0, 1
Let n be 28/28*(0 + 0). Let b(p) be the third derivative of -1/720*p**6 + 0*p + 0*p**4 + 0*p**5 + 1/252*p**7 - 1/504*p**8 + 0*p**3 + 5*p**2 + n. Factor b(q).
-q**3*(q - 1)*(4*q - 1)/6
Let b(y) be the first derivative of 0*y**3 - 13*y**2 + 5*y**3 + 4*y + 2*y**2 + y**3 + 2. Determine n so that b(n) = 0.
2/9, 1
Let a = 222 + -2217/10. Let l = 61/70 - a. Factor 3/7*q**2 - l*q - 4/7.
(q - 2)*(3*q + 2)/7
Let r(z) = z**3 + 7*z**2 + 4. Let i be r(-7). Suppose -i*q + 6*q = 4. Factor c**q + 1 - 3*c - 5 + 6.
(c - 2)*(c - 1)
Let m = -11 + -4. Let w = m + 18. Solve 3*g**2 - 3*g - 94 + w*g**3 + 94 - 3*g**4 = 0.
-1, 0, 1
Suppose -4*v - 9/5*v**3 - 1/5*v**4 + 0 - 24/5*v**2 = 0. Calculate v.
-5, -2, 0
Let n = 503/777 + 5/259. Solve 1 + n*y - 1/3*y**2 = 0 for y.
-1, 3
Find g, given that 0*g + g**5 + 0*g**3 - 1/5*g**4 + 0*g**2 + 0 = 0.
0, 1/5
Let t(k) be the second derivative of 7569*k**4/4 - 174*k**3 + 6*k**2 - 7*k + 4. Factor t(f).
3*(87*f - 2)**2
Factor 0 - 2/3*i**4 + 0*i - 11/3*i**3 - 4*i**2.
-i**2*(i + 4)*(2*i + 3)/3
Let t(k) be the first derivative of 4*k**5/5 - 11*k**4 + 88*k**3/3 + 120*k**2 - 288*k - 26. Factor t(x).
4*(x - 6)**2*(x - 1)*(x + 2)
Let q(w) be the second derivative of w**9/7560 + w**8/3360 + w**4/3 - 4*w. Let p(x) be the third derivative of q(x). Let p(v) = 0. What is v?
-1, 0
Find g such that -1/2*g**2 - 2 + 3/4*g**3 - 3*g + 1/4*g**4 = 0.
-2, -1, 2
Let d(j) = -j**5 - j**3 - j**2. Let r(w) = -12*w**4 + 17*w**2 + 4*w - 3*w**3 - 4*w**5 + 2*w**3 + 14*w**3 - 3*w**3. Let u(b) = -5*d(b) - r(b). Factor u(a).
a*(a - 1)*(a + 1)*(3*a + 2)**2
Let r be 132/6*10/4. Suppose 4*y + r = 279. Suppose -16 - 420*h**2 + 142*h**2 - 134*h**3 - 86*h**2 + 136*h - 98*h**5 + 420*h**3 + y*h**4 = 0. What is h?
-2, 2/7, 1
Suppose 8 = 14*h - 10*h. Factor 1 + 0*l + 0*l**2 - 4*l + 3*l**h + 0*l**2.
(l - 1)*(3*l - 1)
Let h be (-10)/(-20)*0/1. Suppose h = 5*k - 10 - 5. Let x + 38*x**2 - 39*