.
-3, 0, 4
Suppose 0 = -55*g + 9*g + 92. Let h(i) be the first derivative of 1/4*i**4 - 1/2*i**2 - g + 1/10*i**5 - 1/2*i + 0*i**3. Let h(p) = 0. Calculate p.
-1, 1
Let x(a) = 4*a**4 - 76*a**3 + 136*a**2 + 64*a - 192. Let b(n) = n**4 - 25*n**3 + 45*n**2 + 22*n - 64. Let o(c) = -8*b(c) + 3*x(c). Factor o(h).
4*(h - 4)*(h - 2)**2*(h + 1)
Let h(z) = z**2 + z. Let m(x) = 8*x**2 - 13*x + 84. Let k(u) = 14*h(u) - 2*m(u). Determine o so that k(o) = 0.
6, 14
Suppose 0 = -2*n + 33 - 23, -n = -2*m + 3. Find o such that 5/4*o + 1/2 + 9/4*o**3 - m*o**2 = 0.
-2/9, 1
Let n(g) be the third derivative of g**6/90 + 7*g**5/54 + 4*g**4/9 - g**3/3 - 9*g**2. Factor n(m).
2*(m + 3)**2*(6*m - 1)/9
Let s(j) be the second derivative of -j**4/8 - 8*j**3 - 93*j**2/4 + 60*j - 1. Solve s(r) = 0 for r.
-31, -1
Factor 2/9*a**3 - 92/9*a + 64/9 + 26/9*a**2.
2*(a - 2)*(a - 1)*(a + 16)/9
Let -33/2*a - 3/2*a**2 - 42 = 0. What is a?
-7, -4
Factor -1134*h**3 - 214 + 443 - 253 - 2*h**2 + 160*h + 20*h**2.
-2*(7*h + 3)*(9*h - 2)**2
Let u be (-234)/104*-4*(-8)/(-24). Factor -2/7*a**u - 6/7*a - 2/7 - 6/7*a**2.
-2*(a + 1)**3/7
Factor 0 - 2/13*j**2 + 4/13*j.
-2*j*(j - 2)/13
Factor 2/3*n**2 + 26/3 - 28/3*n.
2*(n - 13)*(n - 1)/3
Suppose -22*d = 25*d - 423. Let w(g) be the first derivative of 0*g + 0*g**3 + 0*g**2 + 1/12*g**4 + d + 1/15*g**5. Find s such that w(s) = 0.
-1, 0
Let q = 7 + -2. Suppose -3*r = -o - 23, q*o + 15 = r - 2. Suppose 3 - 1 + 1 - d**2 - r + 4*d = 0. What is d?
2
Let y be 0 - (-5)/(5/8). Let j be (0 + 1)*24/y. Let i**3 - 9*i**3 - 4*i - 13*i**j + 11*i**2 + 9*i**2 = 0. What is i?
0, 2/7, 2/3
Suppose 47*i - 169*i = 221*i + 21*i. Determine o so that 6/23*o**5 - 20/23*o**3 - 16/23*o + i - 40/23*o**2 + 10/23*o**4 = 0.
-2, -1, -2/3, 0, 2
Factor 0 + 3/7*p**3 - 90/7*p - 3*p**2.
3*p*(p - 10)*(p + 3)/7
Let h(r) be the third derivative of r**7/315 - r**6/5 + 7*r**5/18 + 56*r**2. Determine k so that h(k) = 0.
0, 1, 35
Let b(f) be the third derivative of -f**7/14 + 11*f**6/24 + 23*f**5/4 + 65*f**4/24 - 35*f**3 - 180*f**2. Find y such that b(y) = 0.
-3, -1, 2/3, 7
Let x be (4 - 14)*(-68)/170. Suppose -2/21*v**2 - 2/21*v**5 + 0 + 2/21*v**3 + 0*v + 2/21*v**x = 0. Calculate v.
-1, 0, 1
Let m = 9173 + -27163/3. Let r = m + -118. Find s, given that 0 - 2/3*s - r*s**2 = 0.
-1, 0
Let k = -18 + 28. Suppose 0 = h - 6*h + 4*o + 45, 0 = 2*o + k. Let 13*g**h - 5*g**5 + 4*g**2 + 12*g**4 - 10*g**2 + g**5 - 3*g**3 = 0. What is g?
-1, 0, 2/3
Let j(l) be the second derivative of 1/21*l**7 + 0 + 0*l**5 + 0*l**2 + 1/3*l**4 + 9*l - 2/15*l**6 - 1/3*l**3. Suppose j(t) = 0. What is t?
-1, 0, 1
Let c be (160/112)/10 + (-27)/(-7). Let k(s) be the first derivative of -8*s + s**4 - 8 - 2*s**2 + c*s**3 - 4/5*s**5. Factor k(o).
-4*(o - 2)*(o - 1)*(o + 1)**2
Let d(s) be the third derivative of 7*s**2 + 0*s - 1/4*s**4 - 1/120*s**5 + 0 - 3*s**3. Find c such that d(c) = 0.
-6
Let o(s) be the first derivative of 0*s - 11/3*s**3 + 7 + s**4 - 3/2*s**2. Factor o(d).
d*(d - 3)*(4*d + 1)
Let p(h) = -2*h**3 - 14*h**2 - 9*h - 200. Let z be p(-8). What is q in 0*q**2 + 1/2*q**3 + z + 0*q = 0?
0
Suppose 2*d**4 + 19*d**3 + 70*d**2 - 98*d + 14*d**3 - 7*d**3 = 0. What is d?
-7, 0, 1
Let -41*q**2 + q**3 - 970 - 17*q**2 + 551*q - 835 + 15*q**2 = 0. Calculate q.
5, 19
Let v**4 + 68*v**2 + 170*v**2 + 26*v**2 - 27*v**3 + 42*v**2 - 63*v**2 - 729*v = 0. What is v?
0, 9
Let g(b) be the first derivative of 5*b**4/12 - 5*b**2/2 - 12*b - 1. Let z(v) be the first derivative of g(v). Let z(p) = 0. Calculate p.
-1, 1
Determine v, given that -1/6*v**3 + 2/3 - 1/2*v**2 + 0*v = 0.
-2, 1
Let a = -863/88 - -112/11. Factor a*j**2 - 9/8*j + 0.
3*j*(j - 3)/8
Let f(m) be the first derivative of 225/8*m**4 - 625/8*m**2 + 5/3*m**6 - 13*m**5 + 125/12*m**3 + 0*m + 7. Solve f(x) = 0 for x.
-1, 0, 5/2
Let b be (-2)/4 - 4*110/(-560). Factor 2/7*d**3 + b*d**4 + 0 - 2/7*d**2 - 2/7*d.
2*d*(d - 1)*(d + 1)**2/7
Let n be (1 - -1 - 0) + -105 + 75 + 30. Solve -2/3*u**3 + 54 - 66*u + 38/3*u**n = 0.
1, 9
Let o(k) = -k**5 - 7*k**4 - 7*k**3 + 3*k**2 + 4*k. Let g(b) = -6*b**4 - 6*b**3 + 3*b**2 + 3*b. Let r(p) = 4*g(p) - 3*o(p). Factor r(z).
3*z**2*(z - 1)**2*(z + 1)
Let r(n) be the third derivative of 0*n**4 + 0*n + 0*n**5 + 9*n**2 + 0*n**3 + 1/360*n**6 + 0. Find z, given that r(z) = 0.
0
Let r(l) be the first derivative of 1/6*l**4 - 2/9*l**3 + 1/3*l - 1/18*l**6 - 1/6*l**2 + 1/15*l**5 - 14. Suppose r(f) = 0. Calculate f.
-1, 1
Let b(u) be the first derivative of -u**4 - 28*u**3/3 + 16*u**2 + 440. What is k in b(k) = 0?
-8, 0, 1
Let i(v) = -4*v**2 + 47*v - 48. Let a(y) = 2*y**2 - 23*y + 24. Let h(m) = 5*a(m) + 3*i(m). Factor h(n).
-2*(n - 12)*(n - 1)
Let b(p) be the third derivative of -p**5/60 + 29*p**4/8 - 85*p**3/3 + 600*p**2. Factor b(i).
-(i - 85)*(i - 2)
Let y = 16 - 14. Suppose 4 + 6*k**3 - 2*k**2 - 7*k**y - 9*k - k + k**2 = 0. Calculate k.
-1, 1/3, 2
Let a(c) = -c**3 + c**2 + c - 1. Let r(t) = -t**2 + 11*t - 11. Let y be r(10). Let d(n) = -7*n**3 + 15*n**2 - 5*n - 3. Let o(u) = y*d(u) + 3*a(u). Factor o(b).
4*b*(b - 2)*(b - 1)
Suppose 0*q = -3*w + 3*q + 18, -5*w = -2*q - 18. Determine k, given that 0*k + 5 + 18*k**3 + 26*k + 3*k**w + 37*k**2 - 1 = 0.
-1, -2/9
Let f(y) = -y**3 - 17*y**2 + 14*y + 238. Let w be f(-17). Determine s, given that -13/7*s + w + 1/7*s**2 = 0.
0, 13
Let d(t) = t**2 - 12*t + 18. Let r(v) = 5*v**2 - 62*v + 90. Let m(f) = 11*d(f) - 2*r(f). Let q be m(6). Factor q*o**3 + 0 + 18*o**2 + 2/3*o**4 + 18*o.
2*o*(o + 3)**3/3
Let i = -4178/63 - -199/3. Let l(u) be the second derivative of 4/45*u**6 + 1/5*u**5 + 1/9*u**3 + 2*u + i*u**7 + 0*u**2 + 0 + 2/9*u**4. Factor l(v).
2*v*(v + 1)**4/3
Let u(f) = f**2 + 12*f. Let m(c) = -14*c**2 + 10*c**2 + 5*c**2 + 6*c. Let h be 5/15 + 7/(-3). Let b(l) = h*u(l) + 5*m(l). Solve b(p) = 0 for p.
-2, 0
Let o(n) be the second derivative of -n**6/120 - 3*n**5/80 + n**3/6 + 76*n - 4. Factor o(h).
-h*(h - 1)*(h + 2)**2/4
Determine o so that -20*o**4 - 18*o + 17*o + 12*o**3 + 17*o**2 - 11*o + 3*o**2 = 0.
-1, 0, 3/5, 1
Let c(x) = -39*x**2 + 150*x - 135. Let b(i) = 8*i**2 - 30*i + 27. Let p(d) = -24*b(d) - 5*c(d). Factor p(v).
3*(v - 9)*(v - 1)
Let s(g) be the first derivative of 3*g**4/16 - 3*g**2/8 - 34. Solve s(p) = 0 for p.
-1, 0, 1
Let j(f) = -11*f**3 + f**2 + 11*f + 47. Let r(t) = 5*t**3 - 5*t - 24. Let o(a) = 6*j(a) + 13*r(a). Factor o(q).
-(q - 5)*(q - 3)*(q + 2)
Let g(a) = -16*a**2 + 26*a + 20. Let v(f) = 3*f**2 - 5*f - 4. Let y be ((-8)/6)/(8/(-12)). Let w(l) = y*g(l) + 11*v(l). Factor w(p).
(p - 4)*(p + 1)
Let q(g) be the third derivative of 8/525*g**7 + 11/600*g**6 + 0*g**4 + 0 + 1/150*g**5 - 8*g**2 + 0*g**3 + 1/240*g**8 + 0*g. Factor q(r).
r**2*(r + 1)**2*(7*r + 2)/5
Let m be ((-9)/(-15))/(60/200). Let t(g) be the first derivative of 6 + 1/5*g**3 - 1/10*g**m + 1/25*g**5 + 0*g - 3/20*g**4. Determine v so that t(v) = 0.
0, 1
Let k = 28901/42 + -4127/6. Solve k*x**2 + 14 + 4*x = 0.
-7
Let b(q) be the third derivative of -q**8/672 - q**7/140 + q**6/24 - q**5/60 - 3*q**4/16 + 5*q**3/12 + 488*q**2. Factor b(z).
-(z - 1)**3*(z + 1)*(z + 5)/2
Let y(m) be the first derivative of 5/4*m**4 + 2*m + 28 - 11/2*m**2 + 4/3*m**3. Find q, given that y(q) = 0.
-2, 1/5, 1
Let d(t) be the second derivative of t - 4*t**2 - 1/3*t**4 + 0 + 1/15*t**5 + 2/3*t**3. Let n(a) be the first derivative of d(a). Solve n(g) = 0 for g.
1
Suppose 7*o - 9*o = -6. Factor -3*y**3 + 10 + 5 - 6*y**2 - 23 + 12*y + 4*y**o.
(y - 2)**3
Let g(p) be the first derivative of 1/21*p**3 + 0*p**2 + 16 - 4/7*p. Factor g(z).
(z - 2)*(z + 2)/7
Let w be -6 - (9 + 559/(-39)) - (-56)/66. Factor w*d**2 - 10/11*d + 8/11.
2*(d - 4)*(d - 1)/11
Let v(u) = u**3 - 9*u**2 + 8*u - 6. Let t be v(8). Let b be ((-2)/(-10))/(-3 - 21/t). Factor 2/5*f - 2/5*f**3 + 2/5*f**2 - b.
-2*(f - 1)**2*(f + 1)/5
Determine c, given that 19/4*c**2 + 17/4 + 1/4*c**3 + 35/4*c = 0.
-17, -1
Let q(a) be the third derivative of 0*a**4 + 7/600*a**6 + 1/1680*a**8 - 41*a**2 - 1/100*a**5 + 0*a + 0 + 0*a**3 - 1/210*a**7. Solve q(t) = 0.
0, 1, 3
Let f = -23111 - -115559/5. Suppose 6/5*a + f + 2/5*a**2 = 0. What is a?
-2, -1
Let w(y) be the first derivative of y**5/110 + y**4/66 - 2*y**3/33 - 10*y + 10. Let l(j) be the first derivative of w(j). Factor l(o).
2*o*(o - 1)*(o + 2)/11
Let x(v) be the second deri