a so that -67*a**3 + 30*a + 18 + 2*a**2 + 12*a + 49*a**3 + 4*a**o = 0.
-1, -1/2, 3
Let w(o) be the second derivative of -5*o**7/42 - 2*o**6/3 + 11*o**5/4 - 5*o**4/2 - 9*o + 9. Factor w(i).
-5*i**2*(i - 1)**2*(i + 6)
Suppose 67*r - 136 = -35*r + 68. Find n, given that 7/4*n**3 - 1/4*n**r + 5/4*n**4 - 2*n - 1 + 1/4*n**5 = 0.
-2, -1, 1
Let f(u) be the first derivative of 8/3*u**3 + 0*u + 2/3*u**6 + 0*u**2 - 23 - 3*u**4 + 0*u**5. Let f(g) = 0. What is g?
-2, 0, 1
Let b(z) = z + 1. Let y(i) = -i**2 - 10*i - 11. Let m(c) = -5*b(c) - y(c). Let p be m(-4). Determine l so that 2*l + l - l + l**p = 0.
-2, 0
Factor 0*h + 4/3*h**2 - 16/3.
4*(h - 2)*(h + 2)/3
Let j(o) be the first derivative of -2*o**3/9 + 11*o**2/3 - 20*o/3 - 202. Factor j(t).
-2*(t - 10)*(t - 1)/3
Let u(i) be the second derivative of 5*i**6/204 - 7*i**5/102 + 11*i**4/204 - i**3/51 - 2*i**2 - 12*i. Let c(z) be the first derivative of u(z). Factor c(j).
2*(j - 1)*(5*j - 1)**2/17
Let w(z) be the first derivative of z**5/240 + 13*z**4/48 + 169*z**3/24 - 55*z**2/2 - 35. Let b(g) be the second derivative of w(g). What is y in b(y) = 0?
-13
Suppose -3 + 32*h + 9 + 4*h**2 - 6 = 0. Calculate h.
-8, 0
Let h = 12030 + -12030. What is a in 9/2*a + h + 1/8*a**3 - 3/2*a**2 = 0?
0, 6
Factor 1/2*t**2 + 5/3*t - 1/6*t**4 - 4/3 - 2/3*t**3.
-(t - 1)**2*(t + 2)*(t + 4)/6
Let b = -102 - -150. Let o = -48 + b. Suppose 14*h**3 - 8/3*h + 12*h**2 + o - 245/3*h**4 = 0. What is h?
-2/5, 0, 2/7
Factor -30*b + 12*b**5 - 31*b - 2*b**3 - 33*b + 20*b**4 - 6*b**3 + 4 - 24*b**2 + 90*b.
4*(b - 1)*(b + 1)**3*(3*b - 1)
Let w(r) be the first derivative of 2*r**3/63 - 2*r**2/7 + 6*r/7 - 82. Factor w(v).
2*(v - 3)**2/21
Factor 2/5 + 6/5*h**2 + 2/5*h**3 + 6/5*h.
2*(h + 1)**3/5
Let o(v) = 11*v**2 + 11*v - 6. Suppose 6*n + 130 = 4*n. Let s(t) = -120*t**2 - 120*t + 65. Let l(d) = n*o(d) - 6*s(d). Factor l(h).
5*h*(h + 1)
Let q(s) be the first derivative of -s**6/10 - 3*s**5/20 + s**4/2 + 11*s + 12. Let a(g) be the first derivative of q(g). Factor a(w).
-3*w**2*(w - 1)*(w + 2)
Let w = 72 - 68. Let l(h) be the third derivative of -5/84*h**w + 2/21*h**3 + 0 - 4*h**2 - 1/70*h**5 + 0*h. Solve l(z) = 0 for z.
-2, 1/3
Let z(i) be the first derivative of -9/2*i**4 - 15*i**2 + 9*i + 12*i**3 + 3/5*i**5 - 8. Find o, given that z(o) = 0.
1, 3
Let h be (-33)/(297/4) + (-12)/(-27). Suppose 0 + 1/4*q**2 + h*q - 1/4*q**4 + q**5 - q**3 = 0. What is q?
-1, 0, 1/4, 1
Let f(m) be the first derivative of -1/12*m**4 + 3 - 5*m - 1/40*m**5 + 1/12*m**3 + 1/2*m**2. Let a(h) be the first derivative of f(h). Factor a(s).
-(s - 1)*(s + 1)*(s + 2)/2
Let o = -28284 + 28284. Factor -2/7*i**2 + o + 8/7*i.
-2*i*(i - 4)/7
Suppose -5*c - m = 4*m + 630, 2*m = 4*c + 492. Let h = -124 - c. Let 2/9*f**4 - 4/9*f + h + 0*f**3 - 2/3*f**2 = 0. Calculate f.
-1, 0, 2
Factor -30*g**3 - 135 - 185*g - 121*g - 42611*g**4 + 42614*g**4 - 204*g**2.
3*(g - 15)*(g + 1)**2*(g + 3)
Let n(v) be the second derivative of 1/30*v**6 + 0*v**2 + 0*v**5 - 1/3*v**3 - 1/4*v**4 - 26*v + 0. Factor n(t).
t*(t - 2)*(t + 1)**2
Find c, given that -10/9*c**2 + 0*c - 22/9*c**3 - 14/9*c**4 + 0 - 2/9*c**5 = 0.
-5, -1, 0
Let r be (72/(-10))/(-2)*(-58)/(-87). Let p(n) be the first derivative of 10 - 2/5*n**4 - 9/5*n - 1/25*n**5 - 22/15*n**3 - r*n**2. Factor p(i).
-(i + 1)**2*(i + 3)**2/5
Let m(t) be the third derivative of 2/3*t**3 - 2/105*t**7 + 0*t + 13*t**2 - 1/3*t**4 - 9/20*t**5 + 0 - 19/120*t**6. Find g, given that m(g) = 0.
-2, -1, 1/4
Let x = 1/17 - -65/51. Let n(y) = y**2 - 3*y + 2. Let c be n(2). Factor c + 2/3*j**2 - x*j.
2*j*(j - 2)/3
Solve -1/2*a**3 + 0 - 2*a + 2*a**2 = 0.
0, 2
Let x = 0 + 0. Let h be ((-6)/(0 - 48))/((-1)/(-4)). Factor x - 1/2*l**5 - 3*l**3 + 2*l**2 - h*l + 2*l**4.
-l*(l - 1)**4/2
Let r(d) be the second derivative of d**7/14 + d**6/10 - 9*d**5/20 - d**4/4 + d**3 - 23*d + 1. Factor r(l).
3*l*(l - 1)**2*(l + 1)*(l + 2)
What is w in 6*w**2 - 2595*w - 6*w**2 - 543 - 6*w**2 - 6*w**2 + 420*w = 0?
-181, -1/4
Let q(l) be the third derivative of l**5/180 - 5*l**4/18 + 2*l**3 - 2*l**2 - 8. Suppose q(b) = 0. Calculate b.
2, 18
Let g(b) = 8*b**2 + 2076*b + 129032. Let w(c) = 4*c**2 + 1040*c + 64516. Let t(h) = 6*g(h) - 11*w(h). Determine d so that t(d) = 0.
-127
Factor 930 - 2764 + 1452*v - 3490 + 4*v**3 - 132*v**2.
4*(v - 11)**3
Suppose -5*p + 14 + 26 = -5*u, -2*u = 6. Let g = p - 1. Factor -4*f**3 + 0*f**3 - 2*f**5 + 0*f**5 + g*f**5 + 2*f.
2*f*(f - 1)**2*(f + 1)**2
Let 95/3*n**2 - 605 - 275/3*n - 5/3*n**3 = 0. Calculate n.
-3, 11
Let p = -9/67 - -112/335. Let n(s) be the first derivative of -8/15*s**3 - 4/5*s**2 + 2/15*s**6 + 2/5*s**5 - 2/5*s + p*s**4 + 1. Find i, given that n(i) = 0.
-1, -1/2, 1
Let p be ((-24)/(-9))/(7/(126/12)). Let -9*d**3 + 4 + 10*d + p*d**3 + 5*d**2 - 4 = 0. What is d?
-1, 0, 2
Let l(j) be the second derivative of j**5/70 + 4*j**4/21 + 4*j**3/21 - 48*j**2/7 + 4*j - 18. Factor l(s).
2*(s - 2)*(s + 4)*(s + 6)/7
Let v(a) = -a**2 + 25*a + 90. Let g be v(28). Let y(q) be the first derivative of -g + 2/9*q**3 + 4/3*q + q**2. Solve y(b) = 0.
-2, -1
Let k be 1158/90 + -13 + (-1495)/(-525). Suppose 57/7*w**2 + 2/7 + k*w + 8*w**3 + 16/7*w**4 = 0. What is w?
-2, -1, -1/4
Let l(t) be the third derivative of 1/72*t**4 + 0 + 1/60*t**6 + 0*t - 4*t**2 + 1/1008*t**8 - 2/315*t**7 - 1/45*t**5 + 0*t**3. Factor l(a).
a*(a - 1)**4/3
Suppose 7*d - 48 = -27. Let m(i) be the second derivative of 4/5*i**3 + 1/4*i**4 + 3/100*i**5 + d*i + 0 + 6/5*i**2. Determine k so that m(k) = 0.
-2, -1
Let x be ((-30)/(-36))/(3 + 34/(-12)). Let f(d) be the third derivative of 0*d**3 - 1/60*d**x - 2*d**2 + 0 + 0*d + 1/12*d**4. Suppose f(a) = 0. Calculate a.
0, 2
Let p(w) = 3*w + 0*w**2 + 1 - 5*w - w**2 + 0*w**2 + 3. Let b(t) = -t**2 + t - t**2 + t**2. Let h(j) = -2*b(j) + p(j). Determine q, given that h(q) = 0.
2
Let h(s) be the first derivative of 20/3*s**3 - 8*s - 2*s**2 - 2*s**4 + 14. What is i in h(i) = 0?
-1/2, 1, 2
Let g(i) be the second derivative of 0 - 4/3*i**3 - 8*i**2 - 1/12*i**4 + 30*i. Suppose g(k) = 0. Calculate k.
-4
Let w be (4/2)/((-7)/168). Let o be (-4)/(-14) - w/28. Factor r**5 + 0*r**5 + 2*r**4 - r**3 - r**4 - r**o.
r**2*(r - 1)*(r + 1)**2
Let w(v) be the third derivative of -v**6/360 + v**5/15 - v**4/2 - 3*v**2 + 14. Solve w(x) = 0 for x.
0, 6
What is g in -64/7 + 4*g + 2/7*g**2 = 0?
-16, 2
Suppose 5*z = -0*z - 25, 0 = 4*x - 3*z - 23. Suppose 0*n + 5*n = -x*n. Factor -1/7*v**3 + 2/7 + n*v**2 + 3/7*v.
-(v - 2)*(v + 1)**2/7
Let s(u) = 10*u**2 - 20*u - 30. Let k(p) = -p**2 + 3*p + 4. Let g(y) = 8*k(y) + s(y). Factor g(w).
2*(w + 1)**2
Let f(d) = d**2 + d - 1. Let x(l) = l**3 - 5*l**2 - 9*l + 141. Let u(k) = -3*f(k) + x(k). Suppose u(w) = 0. Calculate w.
-4, 6
Let 10/19*b - 48/19 + 2/19*b**2 = 0. Calculate b.
-8, 3
Let o(v) = -v**3 - 2*v**2 + v - 4. Let i be o(-3). Find s, given that -11*s - s - 4*s**i + 7*s**2 - 36 - 4*s**2 = 0.
-6
Let w(q) = q**2 + 9*q + 11. Let o be w(-8). Suppose -3 = 4*t - 5*c, -o*c = 3*t + 2*c - 24. Suppose b**2 - 2*b**2 - 5*b**2 + 2*b**3 - 5*b**t = 0. What is b?
-2, 0
Suppose -61 = -18*h + 29. Determine g so that g**h + 3*g**4 - 12*g + 29 - 11*g**2 + 29 - 62 - g**3 = 0.
-2, -1, 2
Suppose -4 = 2*q + 4*a, 0 = 5*q + 2*a - 0*a - 22. Let c(v) = v**2 - 6*v. Let t be c(q). Factor 0*h - 2/5*h**3 + t + 2/5*h**2.
-2*h**2*(h - 1)/5
Let g = -23 + 23. Suppose 5*w - w + w = g. What is d in 0*d**2 + 0 + w*d + 2/3*d**3 = 0?
0
Let a be -24*(-3 - 44/(-12)). Let z be ((-12)/a)/(6/16). Factor 3 - x**2 - 5*x**3 + 9*x**4 + 6*x - x**3 - 16*x**z + 5*x**2.
3*(x - 1)**2*(x + 1)*(3*x + 1)
Suppose -96 = -6*x - 0. Factor -6*l + 3*l**3 - x*l**4 + l**5 + 25*l**4 + 2*l**2 - 11*l**2 + 2*l**5.
3*l*(l - 1)*(l + 1)**2*(l + 2)
Let x(o) be the third derivative of o**6/2700 - o**5/225 + 7*o**3/6 + 11*o**2. Let a(k) be the first derivative of x(k). Solve a(g) = 0.
0, 4
Let q(o) be the first derivative of o**3/21 - 114*o**2/7 + 12996*o/7 + 361. Determine t so that q(t) = 0.
114
Factor 13/5*u**2 + 8/5 - u**3 + 26/5*u.
-(u - 4)*(u + 1)*(5*u + 2)/5
Find r such that 4/3 - 7/3*r**2 + 5*r**4 + 25/9*r**5 + 40/9*r - 101/9*r**3 = 0.
-3, -2/5, 1
Suppose -10 = -8*u + 22. Let t(s) be the second derivative of -1/6*s**2 + 7*s - 1/60*s**5 + 1/36*s**u + 0 + 1/18*s**3. Factor t(p).
-(p - 1)**2*(p + 1)/3
Let t(c) be the 