 1/90*b**5 - 1/18*b**4. Factor v(u).
2*(u - 1)**3/9
Let n(w) be the first derivative of -w**3/12 + 5*w**2/4 + 11*w/4 + 81. Factor n(p).
-(p - 11)*(p + 1)/4
Let m be ((-1401)/(-78))/(1 + (-17)/18). Let w = -323 + m. Factor 2/13*f**3 - 2/13*f - 4/13*f**2 + w.
2*(f - 2)*(f - 1)*(f + 1)/13
Suppose -2*d + 8 = f, 5*f - f - 12 = 2*d. Let -4 + f*q**2 - 8*q + 15 + 4*q**3 - 11 = 0. Calculate q.
-2, 0, 1
Let g be 0 + 1 - (4 - 3). Let f(x) = -x**2 - 6*x + 7. Let h be f(-7). Let 2*a + 4 + h + g - 5 - a**2 = 0. Calculate a.
1
Let k(r) be the first derivative of -r**4/4 - 4*r**3 - 27*r**2/2 + 890. Determine d so that k(d) = 0.
-9, -3, 0
Let x(q) = -q**4 + q**3 + 2*q + 1. Let z(c) = 28*c**5 - 138*c**4 + 162*c**3 - 28*c**2 - 12*c + 6. Let b(a) = -6*x(a) + z(a). Determine t so that b(t) = 0.
-2/7, 0, 1, 3
Factor -3*j**4 + 6*j**4 + 24*j**2 - 3*j**3 + 30*j**2 - 30*j**3.
3*j**2*(j - 9)*(j - 2)
Find k, given that -13/8*k**2 + 1/8*k**3 - 17/2 - 8*k = 0.
-2, 17
Let -23/3*q**2 + 28/3*q + 8/3*q**3 - 4 - 1/3*q**4 = 0. What is q?
1, 2, 3
Let d(v) be the first derivative of -5*v**3/3 - 5*v**2 - 5*v - 38. Determine u so that d(u) = 0.
-1
Let u(r) = -r**4 - r**3 - r - 1. Let g(l) = -l**4 - 3*l**3 - 18*l**2 - 11*l + 21. Let h(d) = -g(d) + 3*u(d). Determine v so that h(v) = 0.
-2, 1, 3
Let m(h) be the first derivative of -h**6/66 + 2*h**5/5 + 129*h**4/44 + 166*h**3/33 - 50*h**2/11 - 216*h/11 + 647. Let m(i) = 0. What is i?
-2, 1, 27
Suppose 4*w + 2*g - 14 = -g, -w + 4 = g. Let q = -55 + 55. Find v, given that q - 3*v**w - 4*v - 3*v**2 + 2 + 8*v = 0.
-1/3, 1
Solve 118*d**3 + 25*d**5 - 14*d**5 - 43*d**3 - 27*d**4 + 30*d - 81*d**2 - 8*d**5 = 0.
0, 1, 2, 5
Find u such that -10*u + 2/5*u**4 - 22/5*u**3 + 16/5 + 54/5*u**2 = 0.
1, 8
Suppose -1 = s - 6, 3*q + 5*s + 65 = 0. Let i = -27 - q. Find c such that -10/13*c + 6/13*c**i - 4/13 + 8/13*c**2 = 0.
-2, -1/3, 1
Let p be (-34)/(-4) - ((-3 - 3) + 12). Suppose 5/2*x**2 + 0*x - p = 0. What is x?
-1, 1
Let o(y) be the first derivative of y**8/4200 + y**7/2100 - y**6/300 - y**5/300 + y**4/30 - y**3/3 - 8. Let m(r) be the third derivative of o(r). Factor m(j).
2*(j - 1)**2*(j + 1)*(j + 2)/5
Let -68/3*s + 2/3*s**2 + 0 = 0. Calculate s.
0, 34
Let b = -597 - -599. Let c(a) be the first derivative of -5/14*a**4 - 1/7*a - 7 - 1/42*a**6 - 5/14*a**b - 10/21*a**3 - 1/7*a**5. Factor c(u).
-(u + 1)**5/7
Suppose 3*n + 18 = 2*a - a, -1 = 3*a + 2*n. Factor 16*o**2 - 94*o**a + 50*o**3 - 16*o + 40*o**3.
-4*o*(o - 2)**2
Let p(w) be the third derivative of 0*w**3 + 0 - 1/420*w**7 - 1/60*w**5 + 0*w**4 + 21*w**2 - 1/80*w**6 + 0*w. Factor p(i).
-i**2*(i + 1)*(i + 2)/2
Let w be 5/(((-6)/7)/(246/(-2296))). Factor -1/8*n**5 + 7/8*n**2 + w*n**4 + 0 - 1/4*n - 9/8*n**3.
-n*(n - 2)*(n - 1)**3/8
Let r be (-2)/(-11) - (-64)/11. Let g(d) be the third derivative of 0*d + 0*d**5 + 3/40*d**4 + 0 - 1/200*d**r - 1/5*d**3 - 6*d**2. Factor g(i).
-3*(i - 1)**2*(i + 2)/5
Let b be 18/(-30) - (1078/30)/(-11). Factor -8 - b*g - 2/9*g**2.
-2*(g + 6)**2/9
Factor -15*j**3 + 8*j**2 + 13*j**3 + 7*j**3 + 2*j**2.
5*j**2*(j + 2)
Let p(t) = -4*t**3 + 10*t**2 - 6*t - 5. Let o(z) = 5*z**3 - 10*z**2 + 5*z + 6. Let u(f) = 5*o(f) + 6*p(f). Factor u(b).
b*(b - 1)*(b + 11)
Let u(x) be the first derivative of x**4/60 + x**3/15 + x**2/10 - 16*x + 8. Let z(p) be the first derivative of u(p). Factor z(d).
(d + 1)**2/5
Let b(l) be the third derivative of -5*l**8/84 + l**7/14 + l**6/6 - l**5/4 - 231*l**2. Solve b(c) = 0 for c.
-1, 0, 3/4, 1
Let j = -88 - -80. Let n be ((-52)/(-8) - 3)/(j/(-12)). Determine a so that 63/4*a**3 - 3/2*a**4 + 15*a**2 + 3*a + 0 - n*a**5 = 0.
-1, -2/7, 0, 2
Let w = -50/61 + 2183/2440. Let l(q) be the second derivative of 1/60*q**6 + 0*q**2 + w*q**5 + 1/8*q**4 + 1/12*q**3 + 0 - 3*q. What is d in l(d) = 0?
-1, 0
Let h be (44/(-187))/(5/75*-3). Factor 54/17*b - 2/17*b**5 - 14/17*b**4 - h*b**3 + 36/17*b**2 - 54/17.
-2*(b - 1)**2*(b + 3)**3/17
Let g be 1115/10 + (-2)/4. Let b = 557/5 - g. Solve 2/5*c**2 + 0 - b*c = 0 for c.
0, 1
Let i(d) be the third derivative of -13/40*d**5 + 0*d - 1/8*d**4 - 4*d**2 - 1/4*d**6 + 0*d**3 - 9/140*d**7 + 0. Suppose i(x) = 0. Calculate x.
-1, -2/9, 0
Let v(h) be the second derivative of 0 - 3*h + 1/50*h**5 + 0*h**2 + 0*h**3 + 1/30*h**4. Factor v(l).
2*l**2*(l + 1)/5
Suppose 195 = -4*g - j, 5*g + j + 252 = -3*j. Let f = g - -48. Suppose f + 2/5*v - 1/5*v**2 = 0. What is v?
0, 2
Let d(f) be the first derivative of f**5/4 - 5*f**4/2 + 15*f**3/2 - 10*f**2 + 19*f + 3. Let u(w) be the first derivative of d(w). Factor u(k).
5*(k - 4)*(k - 1)**2
Let j(l) = 23*l**2 + 29*l + 4. Let k = 12 - 10. Let g(m) = m + 1. Let b be g(4). Let n(q) = -47*q**2 - 59*q - 7. Let a(f) = b*j(f) + k*n(f). Factor a(w).
3*(w + 1)*(7*w + 2)
Factor -33/2 - 3/4*o**2 - 39/4*o.
-3*(o + 2)*(o + 11)/4
Let k = -102 - -120. Let q be (4/(-6))/(32/k + -2). Factor 0 - 3/7*y**2 + 3/7*y**q + 3/7*y**4 + 0*y - 3/7*y**5.
-3*y**2*(y - 1)**2*(y + 1)/7
Let u(p) be the first derivative of 1/12*p**4 + 5 + 1/2*p**2 - 1/3*p**3 - 5*p. Let m(z) be the first derivative of u(z). Find s such that m(s) = 0.
1
Factor 4/5*t**2 - 10 - 98/5*t.
2*(t - 25)*(2*t + 1)/5
Let h = 115 - 111. Let d be h/(-6) + 5/(15/2). Find u such that 2/13*u**5 + 2/13*u**2 + d - 6/13*u**3 + 4/13*u - 2/13*u**4 = 0.
-1, 0, 1, 2
Let x be (-88)/(-12) - 4 - 8/6. Factor 0 + 4/7*b**3 + 4/7*b - 8/7*b**x.
4*b*(b - 1)**2/7
Let w(o) be the third derivative of -o**7/735 + o**6/70 - 2*o**5/35 + 2*o**4/21 - o**3/2 + 13*o**2. Let t(f) be the first derivative of w(f). Factor t(z).
-4*(z - 2)**2*(2*z - 1)/7
Suppose 4*k = 9*k. Let s be (3/(-792)*6)/((-1)/8). Factor k*z + s*z**2 + 0 + 0*z**3 - 2/11*z**4.
-2*z**2*(z - 1)*(z + 1)/11
Let w be (-5*(-8)/60)/(1/3). Factor 88*i**3 - 89*i**3 - w + 2*i**2 + 2*i - i.
-(i - 2)*(i - 1)*(i + 1)
Let n(m) be the second derivative of -m**5/140 + m**4/7 + 9*m**3/14 + m**2 - 490*m. Factor n(l).
-(l - 14)*(l + 1)**2/7
Let t(u) be the second derivative of -1/27*u**3 - 7*u + 0 + 1/27*u**4 + 1/90*u**5 - 1/6*u**2 - 1/270*u**6. Factor t(m).
-(m - 3)*(m - 1)*(m + 1)**2/9
Let h(x) be the second derivative of x**6/120 - x**4/48 - 338*x. Factor h(w).
w**2*(w - 1)*(w + 1)/4
Suppose 0 = 14*h - 1373 - 13. Let s = 101 - h. Let 0 + 4/3*x**4 + s*x**2 + 1/3*x + 3*x**3 = 0. What is x?
-1, -1/4, 0
Suppose -37 = 2*q - 4*c - 19, c - 6 = 0. Find b, given that 1/5*b**q - 2/5 + b - 4/5*b**2 = 0.
1, 2
Let h be 9 + -2*119/28. Solve p - p**3 + h*p**4 - 1/2 + 0*p**2 = 0.
-1, 1
Let p(q) be the third derivative of q**7/525 + q**6/60 - q**5/150 - q**4/12 - 3*q**2 - 21*q. Factor p(i).
2*i*(i - 1)*(i + 1)*(i + 5)/5
Factor -8/3 + 22/9*i + 4/9*i**2 - 2/9*i**3.
-2*(i - 4)*(i - 1)*(i + 3)/9
Factor 0*m**2 + 0*m + 2/5*m**5 - 2/5*m**4 + 0 - 4/5*m**3.
2*m**3*(m - 2)*(m + 1)/5
Let s(n) be the third derivative of n**7/30 + n**6/60 - 7*n**5/60 - n**4/12 + 9*n**2 + 2*n. Factor s(g).
g*(g - 1)*(g + 1)*(7*g + 2)
Find l, given that 129/2*l**2 - 255/4*l**3 - 63*l**4 + 0 - 12*l - 27/4*l**5 = 0.
-8, -2, 0, 1/3
Let u(c) be the first derivative of c**8/84 + c**7/24 + c**6/36 - c**5/24 + 12*c**3 - 9. Let d(z) be the third derivative of u(z). Let d(v) = 0. What is v?
-1, 0, 1/4
Let c(z) = z**2 - 4*z - 13. Let o be c(7). Let h = o - 4. Factor 8*a**3 + 6*a**h - 8*a**4 - 2*a**4 - 4*a**2.
-4*a**2*(a - 1)**2
Let a = -2149573/52 - -41340. Let v = 30/13 - a. Suppose 2*n + 4 + v*n**2 = 0. Calculate n.
-4
Let h(s) be the second derivative of s**7/210 - s**6/150 - s**5/20 - s**4/20 + 30*s - 1. Determine l so that h(l) = 0.
-1, 0, 3
Let b(d) = -12*d**2 + 3*d + 6. Let a(z) = 11*z**2 - 2*z - 5. Suppose -6*r + 4*r - 10 = 0. Let c(v) = r*b(v) - 6*a(v). What is w in c(w) = 0?
-1/2, 0
Let g(a) = a**3 - 10*a**2 + a - 10. Let p be g(10). Let z = 12 + p. Factor 24*m - z - 6 + 2*m**3 + 2 - 12*m**2.
2*(m - 2)**3
Let f(h) be the second derivative of -2*h**6/15 - h**5/5 + 7*h**4/3 + 26*h**3/3 + 12*h**2 + h + 52. Let f(k) = 0. Calculate k.
-2, -1, 3
Let x(d) be the first derivative of d**6/2 - 9*d**5 - 219*d**4/4 - 57*d**3 + 543. Find z, given that x(z) = 0.
-3, -1, 0, 19
Let l(s) be the third derivative of 3/5*s**5 + 32/3*s**3 - 16*s**2 + 1/30*s**6 + 0 + 0*s + 4*s**4. Solve l(f) = 0.
-4, -1
Let a(x) be the second derivative of 0*x**3 - 1/24*x**4 + 1/60*x**6 + 1/40*x**5 + 0 - 1/84*x**7 + 0*x**2 + 