/8 + h**3/6 + h**2/4 + 86. Let j(w) = 0. Calculate w.
-1, 0, 1
Suppose -2*u - 40 = -4*f, 2*f - 5*u + 3 = 23. Let k(t) be the third derivative of f*t**2 + 1/100*t**5 + 3/40*t**4 + 0*t + 1/5*t**3 + 0. Factor k(x).
3*(x + 1)*(x + 2)/5
Suppose 2*x - 19 = -c + 53, -4 = -2*c. Let l be 105/x - (1 + -2). Find z such that -10/17*z**l + 0 - 32/17*z**2 - 2*z**3 - 8/17*z = 0.
-2, -1, -2/5, 0
Let k(b) be the third derivative of b**6/40 + 3*b**5/10 - 7*b**4/8 - b**2 - b. Factor k(m).
3*m*(m - 1)*(m + 7)
Let q = -5 + 5. Let y be -2 + (-2674)/(-1155) + 4/(-30). Factor q - y*b**2 - 4/11*b.
-2*b*(b + 2)/11
Let s be 22/6 - 3/(-9). Let o = 380 - 189. What is h in -4*h**2 + s*h**4 - o*h**3 + 191*h**3 + 2*h - 2*h**5 = 0?
-1, 0, 1
Suppose 2*c - 35 = -4*t - 39, 4*t = -4*c. Let -1/2*o**4 - 1/2 + 2*o**3 - 3*o**2 + c*o = 0. What is o?
1
Let r(c) be the second derivative of -c**5/4 + 10*c**4/3 + 110*c**3/3 + 120*c**2 - c - 22. Determine y, given that r(y) = 0.
-2, 12
Let o(f) be the first derivative of -f**6/90 + 4*f**5/45 + 5*f**4/18 + 20*f**2 + 36. Let l(i) be the second derivative of o(i). Factor l(k).
-4*k*(k - 5)*(k + 1)/3
Let k be (-4)/(-7) - (-11 + 1168/112). Let k*g - 16/7 - 2/7*g**3 + 4/7*g**2 = 0. Calculate g.
-2, 2
Let i(r) be the first derivative of 55*r - 30*r**2 - 43 + 5/3*r**3. Determine q, given that i(q) = 0.
1, 11
Determine j so that 1/6*j**2 + 76/3*j + 2888/3 = 0.
-76
Suppose -3*f + 23 = -q + 21, 30 = 5*q + 5*f. Suppose -6*c**3 + 0*c + 0*c**2 + 0 - 4*c**q - 2/3*c**5 = 0. What is c?
-3, 0
Let m(u) be the second derivative of -5*u**7/42 - u**6/2 - u**5/4 + 5*u**4/4 + 5*u**3/3 - 29*u. Suppose m(v) = 0. What is v?
-2, -1, 0, 1
Find x, given that -2*x**2 - x**2 + 99*x - 72 - 69*x = 0.
4, 6
Let h = -1243/60 - -104/5. Let q(p) be the second derivative of -1/20*p**5 + 1/84*p**7 + 0 - 2*p + h*p**3 - 1/12*p**4 + 1/60*p**6 + 1/4*p**2. Factor q(w).
(w - 1)**2*(w + 1)**3/2
Let i = 84147 - 10013418/119. Let k = -1/17 + i. Let 2/7*l + 2/7*l**3 + 0 - k*l**2 = 0. Calculate l.
0, 1
Let t(w) = -w**5 - w**4 - w**3 + w**2 + w + 1. Let u(b) = -4*b**5 + 16*b**4 - 2*b**3 - 4*b**2 - 3*b - 3. Let r(q) = 3*t(q) + u(q). Factor r(k).
-k**2*(k - 1)**2*(7*k + 1)
Let s(b) = 4*b - 12. Let u(g) = g**2 + g - 4. Let i(f) = s(f) - 4*u(f). Factor i(h).
-4*(h - 1)*(h + 1)
Suppose -9 = 5*l - 3*o, -5*o + 2 = 4*l - 13. Let i be 0/(-4 - l/2). Let i*u + 3/4*u**2 - 3/4 = 0. What is u?
-1, 1
Let f be 5/((-15)/(-24)) + (-8700)/1150. Suppose -6/23*s + 0 + f*s**2 = 0. What is s?
0, 3/5
Factor 63 + 123/2*y - 3/2*y**2.
-3*(y - 42)*(y + 1)/2
Suppose -3*v + 93 = -0*v. Suppose v = 5*q + 11. Factor 2*y + 2*y + y**2 + 8 - 1 - q.
(y + 1)*(y + 3)
Let g(p) be the second derivative of p**5/4 - 725*p**4/12 + 25915*p**3/6 + 26645*p**2/2 - 380*p - 1. Factor g(l).
5*(l - 73)**2*(l + 1)
Let l(q) = 18*q - 9*q + 9 - 2*q + 2*q**2. Let s be l(-2). Solve 0 - 1/3*v - 1/3*v**s - 2/3*v**2 = 0 for v.
-1, 0
Let x(c) be the first derivative of c**4/12 + c**3/3 - c**2 - 8*c/3 + 766. Solve x(b) = 0.
-4, -1, 2
Let d(b) = -3*b**2 + 34*b - 256. Let s(c) = -171*c + 14*c**2 + 21*c**2 - 19*c**2 + 1280. Let v(g) = -22*d(g) - 4*s(g). Factor v(m).
2*(m - 16)**2
Let x(g) be the third derivative of 0 + 1/420*g**7 + 1/12*g**4 + 0*g**3 + 51*g**2 - 1/30*g**5 + 0*g - 1/240*g**6. What is o in x(o) = 0?
-2, 0, 1, 2
Factor a**3 - a**5 + 146 - 5*a**2 + 9*a**4 + 3*a**2 - 7*a**4 - 146.
-a**2*(a - 2)*(a - 1)*(a + 1)
Suppose 160*k - 156*k = 12. Let t(m) be the first derivative of -1/8*m**2 + 1/12*m**3 - 1/2*m + k. Factor t(r).
(r - 2)*(r + 1)/4
Let o(c) = -c**2 - 13*c - 18. Let b be o(-11). Suppose n = -5*f + 8, b*f - 4 = -3*n + n. Factor -5 - f*r**2 - 10 - 8*r + 9.
-2*(r + 1)*(r + 3)
Let l = -727 + 732. Let u(r) be the second derivative of -1/30*r**6 + 1/10*r**l + 0 + 1/2*r**2 + 0*r**4 - 1/3*r**3 - 7*r. Factor u(v).
-(v - 1)**3*(v + 1)
Let u(c) be the first derivative of -3*c**4/20 + 30*c**3 - 3375*c**2/2 - 6. Solve u(w) = 0.
0, 75
Suppose -6*l - 188 = -7*l. Factor 185*f**2 - l*f**2 + 3*f + 9*f - 3*f.
-3*f*(f - 3)
Find c such that 0*c**3 - 1/7*c**4 + 0 + c**2 + 6/7*c = 0.
-2, -1, 0, 3
Suppose -7*n + 2*n = 3*r + 171, -3*r + 189 = -5*n. Let b be (n/60)/(6/(-4)). Factor -2/5*u**2 + 2/5 + 2/5*u - b*u**3.
-2*(u - 1)*(u + 1)**2/5
Let h be 2/(-11) + -5 + 57/11. Let a(s) be the first derivative of 3/2*s**2 - 3 + h*s + s**3. Determine g so that a(g) = 0.
-1, 0
Let o be 7 + 8 + 811/(-55). Let b(z) be the first derivative of 0*z - 4/11*z**2 + 40/33*z**3 - 23/22*z**4 + o*z**5 + 4. Solve b(u) = 0.
0, 2/7, 1, 2
Let p = 3139/3 - 3131/3. Factor -p*f - 4/3*f**3 - 10/3*f**2 - 2/3.
-2*(f + 1)**2*(2*f + 1)/3
Let b(d) be the second derivative of d**4/6 - 11*d**3/3 + 24*d**2 - 2*d - 3. Determine m, given that b(m) = 0.
3, 8
Find i such that 10*i + 36*i**2 + 3*i**4 - 56*i + 0*i**4 - 50*i - 192 + 24*i**3 = 0.
-4, -2, 2
Let -16/13 + 2/13*p**2 - 14/13*p = 0. Calculate p.
-1, 8
Determine s, given that -4/3*s**3 + 0 + 32/3*s**2 - 28/3*s = 0.
0, 1, 7
Suppose -x - 18 = 5*x. Let w be (2/(-55))/(x/(-150)) + 2. Factor 2/11*j - 2/11 + 2/11*j**2 - w*j**3.
-2*(j - 1)**2*(j + 1)/11
What is t in 4/15*t**3 + 14/15*t**2 - 2/15*t**4 - 16/15*t - 8/5 = 0?
-2, -1, 2, 3
Let f(i) be the second derivative of -3*i**8/56 + i**7/7 - 7*i**6/60 + i**5/30 + 2*i**2 + 8*i. Let d(m) be the first derivative of f(m). Factor d(v).
-2*v**2*(v - 1)*(3*v - 1)**2
Solve 0 - 2*x**3 + 2*x**4 - 24/13*x + 8/13*x**5 - 8*x**2 = 0 for x.
-3, -2, -1/4, 0, 2
Let b(h) = 14*h**5 - 22*h**4 + 135*h**3 - 158*h**2 + 65*h. Let s(q) = -5*q**5 + 7*q**4 - 45*q**3 + 53*q**2 - 22*q. Let n(f) = -6*b(f) - 17*s(f). Factor n(k).
k*(k - 1)**3*(k + 16)
Let a = -308 + 313. Let w(q) be the first derivative of 1/2*q**6 + 0*q + 3/4*q**4 + 3*q**3 - 3*q**2 - 9/5*q**a - 6. Determine c, given that w(c) = 0.
-1, 0, 1, 2
Let s(d) = -6*d**2 + 60*d - 450. Let p(g) = 285 - 74 + 5*g**2 - 60*g + 239. Let y(k) = 4*p(k) + 3*s(k). Factor y(m).
2*(m - 15)**2
Let y(j) be the second derivative of 6*j**3 + 4/3*j**4 - 2*j + 0 + 4*j**2. Factor y(m).
4*(m + 2)*(4*m + 1)
Let r(o) be the second derivative of o**7/210 + 7*o**6/150 + 17*o**5/100 + 17*o**4/60 + o**3/5 + 7*o - 2. Factor r(k).
k*(k + 1)**2*(k + 2)*(k + 3)/5
Let t(v) be the first derivative of v**3/4 - 9*v**2/4 - 21*v/4 - 54. Determine b so that t(b) = 0.
-1, 7
Let j(s) be the first derivative of s**6/18 + 8*s**5/15 + 11*s**4/6 + 28*s**3/9 + 17*s**2/6 + 4*s/3 + 43. Let j(b) = 0. What is b?
-4, -1
Let v = -19 + 4. Let g be 6/v + ((-16)/15)/(-1). Suppose 1/3*o**4 - 1/3*o**2 + 2/3*o**3 - g*o + 0 = 0. Calculate o.
-2, -1, 0, 1
Solve -4/11*i - 3/11*i**4 + 5/11*i**3 - 1/11*i**5 + 3/11*i**2 + 0 = 0.
-4, -1, 0, 1
Let x(d) be the second derivative of d**6/90 - d**5/20 - d**4/6 + 4*d**3/9 + 23*d. Find f such that x(f) = 0.
-2, 0, 1, 4
Let w(i) = i**5 - i**4 - 4*i**3 + 3*i - 1. Let p(t) = t**5 + t**4 - t**3 - t**2 - 1. Let n = -23 - -25. Let v(l) = n*p(l) - w(l). Solve v(u) = 0 for u.
-1, 1
Let p be (-38 - (-3880)/120) + (-7)/(1 - 2). Solve p + 22/9*b + 8/3*b**4 - 4*b**2 + 10/9*b**5 - 32/9*b**3 = 0.
-3, -1, -2/5, 1
Suppose -2*n - 102 = -0*n. Let q(h) = -h**3 - 2*h**2 + 2*h + 2. Let d(x) = 8*x**3 + 17*x**2 - 17*x - 17. Let j(r) = n*q(r) - 6*d(r). What is t in j(t) = 0?
0
Let n(q) be the third derivative of -q**8/784 - 13*q**7/490 - q**6/7 - 9*q**5/35 + 250*q**2. Factor n(l).
-3*l**2*(l + 2)**2*(l + 9)/7
Let h be 1/(0 + -1)*-1*3. Let x(k) = 6*k**3 - 11*k**2 - 24*k + 29. Let c(f) = -3*f**3 + 6*f**2 + 12*f - 15. Let n(p) = h*x(p) + 5*c(p). Factor n(a).
3*(a - 2)*(a - 1)*(a + 2)
Suppose -2*l + 7*l = -35. Let q be (l/14)/((-2)/20). Let -p**5 + 5*p**2 - 4 + 4*p**4 + 5*p**3 - 5*p**4 - p**5 + p**q - 4*p = 0. What is p?
-2, -1, 1, 2
Let s(m) be the second derivative of 30*m + 1/40*m**5 + 0*m**3 + 1/40*m**6 + 1/168*m**7 + 0*m**2 + 0*m**4 + 0. Factor s(p).
p**3*(p + 1)*(p + 2)/4
Suppose -117*w = 225 - 459. Factor 0 + 2/15*i + 0*i**w + 2/15*i**5 + 0*i**4 - 4/15*i**3.
2*i*(i - 1)**2*(i + 1)**2/15
Factor 2/3*u**3 + 1/2*u - 13/6*u**2 + 0.
u*(u - 3)*(4*u - 1)/6
Let r(k) = -5*k**5 - 10*k**4 + 60*k**3 - 125*k**2 + 128*k - 48. Let f(v) = -2*v**5 + v**4 + v**2. Let d(y) = 3*f(y) - r(y). Factor d(x).
-(x - 6)*(x - 2)**3*(x - 1)
Let r(a) be the second derivative of 0*a**2 - 25*a**3 - 105/4*a**4 + 36/5*a**5 + 4*a + 0 - 1/2*a**6. Deter