**4 + 2/3*c**3. Solve i(y) = 0 for y.
-2, 1
Find s, given that -173/3*s - 68/3*s**4 - s**5 - 38/3 - 224/3*s**3 - 98*s**2 = 0.
-19, -1, -2/3
Let t = 47/368 + -3/46. Let q(l) be the first derivative of 0*l + 1/12*l**3 - 4 - t*l**4 + 0*l**2. Find k, given that q(k) = 0.
0, 1
Let h be ((-1)/(23 - -2))/(51/(-255)). Determine k, given that 2/5*k - h*k**2 - 1/5 = 0.
1
Let v(t) be the second derivative of t**5/90 - 7*t**4/54 - 8*t**3/27 - 37*t. Factor v(f).
2*f*(f - 8)*(f + 1)/9
Let h(d) = -d**3 + 10*d**2 + 9*d - 18. Let p(c) = 10*c**2 + 8*c - 18. Let a(q) = 4*h(q) - 6*p(q). Factor a(n).
-4*(n - 1)*(n + 3)**2
Let m(y) be the first derivative of -y**4/18 - 2*y**3/27 + 2*y**2/9 + 78. Factor m(z).
-2*z*(z - 1)*(z + 2)/9
Suppose -3*v - 4 = -v, 3*p = 2*v + 31. Let k(u) be the second derivative of -7/3*u**4 - 4*u**2 + 0 + 6*u**3 - p*u. Factor k(a).
-4*(a - 1)*(7*a - 2)
Let h = 591 - 2363/4. Let x(b) be the second derivative of 1/40*b**6 + b + 0 - h*b**2 + 5/24*b**3 - 1/16*b**5 - 1/48*b**4. Solve x(o) = 0 for o.
-1, 2/3, 1
Let g(f) be the second derivative of f**7/840 - f**5/120 + f**3/24 - 7*f**2 - 12*f. Let h(m) be the first derivative of g(m). What is i in h(i) = 0?
-1, 1
Suppose 71 = 6*p - 5*p. Factor 6*r**2 + 2*r**2 - p*r**4 + 67*r**4 + 4*r**3.
-4*r**2*(r - 2)*(r + 1)
Let p(q) be the first derivative of -2*q**3/9 - q**2 - 4*q/3 + 81. Factor p(f).
-2*(f + 1)*(f + 2)/3
Let x(s) = s**3 - 7*s**2 + 10. Let m be x(7). Factor 3*b**3 - 11*b**3 + 0*b + 3*b**3 - 10*b**2 + m + 5*b.
-5*(b - 1)*(b + 1)*(b + 2)
Let c(i) be the second derivative of 1/135*i**6 - 6*i + 0*i**4 + 0 + 0*i**2 + 0*i**3 + 1/90*i**5. Find w, given that c(w) = 0.
-1, 0
Factor 1/2*b**5 - 9/2*b**4 - 9/2 + 15*b**3 - 23*b**2 + 33/2*b.
(b - 3)**2*(b - 1)**3/2
Let r(y) = 6*y**2 - 4*y. Let i(x) be the third derivative of 2*x**5/5 - 17*x**4/24 - 31*x**2. Let p(s) = 2*i(s) - 9*r(s). Factor p(z).
-2*z*(3*z - 1)
Let o(i) be the second derivative of -10*i + 0 - 1/150*i**5 - 1/90*i**4 + 0*i**2 + 2/45*i**3. Find y, given that o(y) = 0.
-2, 0, 1
Suppose -3*i - 7 - 10 = 4*v, v + 6 = i. Let n = v + 7. Let -21*h**2 - 21*h + 53*h**3 - n - 5*h**3 - 1 - 3*h**2 = 0. Calculate h.
-1/4, 1
Let f(x) be the first derivative of -x**6/24 + 13*x**5/20 - 15*x**4/4 + 28*x**3/3 - 8*x**2 - 133. Factor f(o).
-o*(o - 4)**3*(o - 1)/4
Let s be -5 - ((-34)/(-221) - 597/78). Factor -6*k**3 - k - s*k**4 - 9/2*k**2 + 0.
-k*(k + 1)**2*(5*k + 2)/2
Let m(u) be the second derivative of 5*u**7/42 - 7*u**6/6 - 3*u**5 + 35*u**4/3 + 80*u**3/3 + 27*u + 2. Find n such that m(n) = 0.
-2, -1, 0, 2, 8
Find l, given that 2/11*l**3 + 0 + 34/11*l**2 + 140/11*l = 0.
-10, -7, 0
Factor -31*r + 1/2*r**2 + 961/2.
(r - 31)**2/2
Let w(n) = -n**2 + n - 1. Let u = -67 + 68. Let m(k) = -20*k**4 - 53*k**3 - 32*k**2 - 4. Let t(a) = u*m(a) - 4*w(a). Suppose t(x) = 0. What is x?
-2, -2/5, -1/4, 0
Let s(m) be the second derivative of 5*m**4/21 + 278*m**3/7 + 332*m**2/7 - 12*m. Find z, given that s(z) = 0.
-83, -2/5
Let k(c) be the first derivative of 3*c**4/8 - 5*c**3/4 + 3*c**2/4 - 135. Suppose k(o) = 0. Calculate o.
0, 1/2, 2
Let a(z) be the first derivative of -3*z**5/5 + 39*z**4/2 - 93*z**3 + 168*z**2 - 132*z + 276. Factor a(m).
-3*(m - 22)*(m - 2)*(m - 1)**2
Factor 4*o**2 - 1360*o + 32 + 1328*o + 28.
4*(o - 5)*(o - 3)
Suppose 10*l - 847 = 17*l. Let o = 121 + l. Let o - t - 1/2*t**2 = 0. Calculate t.
-2, 0
Let h(t) be the first derivative of t**6/3 - 6*t**5/5 - 646. Let h(r) = 0. Calculate r.
0, 3
Let t(m) = -8*m**2 + m**2 + 12*m - 5 + 6*m**2. Let f be t(11). Solve -5*o + f*o - 9 - o**2 - 7*o = 0 for o.
-3
Let l(s) be the first derivative of s**6/16 + 3*s**5/40 - 3*s**4/32 - s**3/8 - 27. Determine w so that l(w) = 0.
-1, 0, 1
Suppose 0 = -3*l + 2*t + 180, -3*l - 5*t + 14 + 166 = 0. Suppose -5*h + 112 = -h. Factor -h*u**3 - 32*u**3 + 12 + 99*u**2 - l*u - 3*u**4 + 15*u**4.
3*(u - 2)**2*(2*u - 1)**2
Let b(n) be the first derivative of -4/3*n**3 - 17 - 10*n**2 + n**4 - 12*n. Factor b(j).
4*(j - 3)*(j + 1)**2
Let i = 677 + -675. Let m(p) be the third derivative of 1/16*p**4 - 1/40*p**5 + 0 + 0*p - 1/12*p**3 - 2*p**i + 1/240*p**6. Factor m(x).
(x - 1)**3/2
Let w(n) be the first derivative of n**3 - 8 + 3/4*n**4 + 0*n - 3*n**2. Factor w(a).
3*a*(a - 1)*(a + 2)
Let x(m) = -7*m**3 - 22*m**2 - 33*m - 22. Let i(t) = 27*t**3 + 87*t**2 + 132*t + 87. Let a(z) = 4*i(z) + 15*x(z). Factor a(w).
3*(w + 1)*(w + 2)*(w + 3)
Let r(o) = 39*o**3 - o**2 + 2*o - 1. Let u be r(1). Factor 14*i**3 + 35*i**2 + i - u*i**3 - 2*i - 9*i.
-5*i*(i - 1)*(5*i - 2)
Let y(p) be the third derivative of p**5/60 - 35*p**4/24 + 11*p**3 + 111*p**2 - 1. Let y(v) = 0. What is v?
2, 33
Suppose 0*q + 15/4*q**3 + 3/2*q**2 + 0 + 3/4*q**5 + 3*q**4 = 0. What is q?
-2, -1, 0
Let o = 106 - 104. Let m = -4 - -4. Factor m*t**2 + 6 - 155*t + 2*t**3 + 145*t + 2*t**o.
2*(t - 1)**2*(t + 3)
Factor -2/5*g**3 + 18/5*g**2 - 6*g + 14/5.
-2*(g - 7)*(g - 1)**2/5
Let o(a) be the first derivative of -79*a**3/15 - 77*a**2/10 + 2*a/5 + 541. Factor o(v).
-(v + 1)*(79*v - 2)/5
Determine x so that 2652/5*x - 293046/5 - 6/5*x**2 = 0.
221
Let x = 173/42 - 57/14. Let r(o) be the first derivative of 0*o + 0*o**2 + 1 + x*o**3. Determine h so that r(h) = 0.
0
Let v = 1847 + -1844. Find r, given that -2/3*r**4 + 0*r**v + 0 + 2/3*r**2 - 1/3*r**5 + 1/3*r = 0.
-1, 0, 1
Let r = 112 + -105. Suppose 2*v - 8 = 5*a, 0 = 3*v + 3*a - r*a - 12. Suppose 4/9*q - 40/9*q**v + 22/9*q**2 + 0 + 14/9*q**3 = 0. What is q?
-2/5, -1/4, 0, 1
Suppose -15 = 3*o - 4*o. Suppose 4*g = 5*j + o, 0 = -5*j + 4*j + 4*g - 19. Factor j - w**2 - 3*w - 1.
-w*(w + 3)
Let x = 939 - 22519/24. Let w = x + -1/24. Find h such that -4/3*h**4 - 8/3*h**3 + 4/3*h**2 + w*h + 2*h**5 + 0 = 0.
-1, -1/3, 0, 1
Let a(d) be the second derivative of 7*d**5/4 + 25*d**4/12 - 40*d**3/3 + 10*d**2 + 2*d + 5. Factor a(p).
5*(p - 1)*(p + 2)*(7*p - 2)
Let c be 28/15*(1 + (-45)/48). Let u = c - -2/15. Find h such that -h - 3/4 - u*h**2 = 0.
-3, -1
Let -38/5 + 2/5*m**2 + 36/5*m = 0. What is m?
-19, 1
Let t be (2285/(-1140) - -2)/(24/9). Let c = 19465/5472 + t. Factor -c*d**2 - 2 - 16/3*d.
-2*(4*d + 3)**2/9
Let q(f) be the second derivative of -f**9/35280 - f**8/2240 - f**7/588 + 4*f**4/3 + 2*f - 37. Let k(o) be the third derivative of q(o). Factor k(n).
-3*n**2*(n + 2)*(n + 5)/7
Suppose -20*v = -25*v + 15. Let r(o) be the third derivative of 0 + 0*o - 1/4*o**4 + 1/30*o**5 + 2/3*o**v + 2*o**2. Suppose r(g) = 0. Calculate g.
1, 2
Let w(s) be the first derivative of s**8/1680 - s**7/350 + s**5/75 + 2*s**2 - 5. Let c(t) be the second derivative of w(t). Determine y, given that c(y) = 0.
-1, 0, 2
Let x(a) = -a**2 + 3*a + 3. Let g be x(3). Let j be 126/343*g/((-18)/(-28)). Factor -16/7 - 2/7*d**3 - j*d**2 - 24/7*d.
-2*(d + 2)**3/7
Let x(l) be the third derivative of -l**6/40 - 9*l**5/20 - 9*l**4/4 + 37*l**2 - 2*l. Factor x(r).
-3*r*(r + 3)*(r + 6)
Let y(s) = s + 10. Let k(o) = o**3 + o**2 - 5*o - 2. Let d be k(-3). Let a be y(d). Solve -2/3*m**2 - 1/3*m**a + 1/3 + 1/3*m**4 + 2/3*m**3 - 1/3*m = 0.
-1, 1
Let u = -251/2030 + 4/29. Let p(n) be the second derivative of 1/42*n**4 - u*n**5 + 0 + 0*n**2 + 0*n**3 - 8*n. Factor p(s).
-2*s**2*(s - 1)/7
Let l(w) = w**2 + 2*w - 1. Let h(y) = -3200*y**4 + 1760*y**3 - 308*y**2 + 26*y - 4. Let g(k) = h(k) - 4*l(k). Find j, given that g(j) = 0.
0, 3/20, 1/4
Let a = -130 - -136. Let h(j) be the second derivative of -1/5*j**5 + 1/15*j**a + 0*j**2 + 0 + 2/3*j**3 + j - 1/6*j**4. Factor h(s).
2*s*(s - 2)*(s - 1)*(s + 1)
Let n(k) = -12*k**2 + 9*k + 27. Let o be n(-4). Let h = 204 + o. Factor 0 - 8/3*u - 8/3*u**2 - 2/3*u**h.
-2*u*(u + 2)**2/3
Let c = -25940 + 103787/4. Find d, given that -21*d**2 + 45/2*d**3 - c*d**4 + 6*d + 0 = 0.
0, 2/3, 2
Solve 78/5*l**2 - 39/5 + 3/5*l - 6/5*l**3 + 3/5*l**5 - 39/5*l**4 = 0.
-1, 1, 13
Let h(v) = 8*v**2 + 24*v + 36. Let z(p) = 7*p**2 - 6*p. Let j(x) = -6*x**2 + 5*x. Let y(c) = 6*j(c) + 5*z(c). Let l(n) = h(n) + 5*y(n). Factor l(i).
3*(i + 2)*(i + 6)
Let k(v) be the first derivative of -v**6/27 + 2*v**5/45 + 91. Factor k(y).
-2*y**4*(y - 1)/9
Suppose 0*o + l - 29 = -3*o, -2*l - 14 = -3*o. Let s(t) be the first derivative of -19*t**2 + 37/3*t**3 + o*t + 6 - 7/4*t**4. Factor s(n).
-(n - 4)*(n - 1)*(7*n - 2)
Let j(t) be the second derivative of -t**6/