e of 0 - 2*b**2 + 0*b**4 - 1/10*b**5 + 24*b + b**3. Determine j, given that x(j) = 0.
-2, 1
Suppose 2*m + 0 - 2 = 2*q, -2*m + 2 = 0. Suppose -6*z + 23 + 1 = q. What is g in 0 + 4/15*g - 2/15*g**3 - 2/15*g**5 + 2/5*g**2 - 2/5*g**z = 0?
-2, -1, 0, 1
Suppose 11*d - 17*d = 131 - 155. Find j such that 76/3*j**3 + 100/3*j**2 - 80/3*j**5 - 8/3 - 92/3*j**d + 4/3*j = 0.
-1, -2/5, 1/4, 1
Let j = 541/1967 - -3/281. Factor -6/7*b**3 + 0 + 6/7*b - j*b**2 + 2/7*b**4.
2*b*(b - 3)*(b - 1)*(b + 1)/7
Factor 34984/3*u**3 + 4898896/3*u + 1/3*u**5 + 322/3*u**4 + 4764064/3 + 1327120/3*u**2.
(u + 2)**2*(u + 106)**3/3
Let q(l) be the second derivative of -l**7/14 - 3*l**6/10 + 27*l**5/20 - 5*l**4/4 - 90*l. Factor q(h).
-3*h**2*(h - 1)**2*(h + 5)
Let c(h) be the second derivative of -h**7/14 + 7*h**6/2 - 99*h**5/10 - h**4/2 + 67*h**3/2 - 99*h**2/2 - 106*h + 3. Factor c(w).
-3*(w - 33)*(w - 1)**3*(w + 1)
Let x(z) be the second derivative of z**5/20 + z**4/8 + 3*z**2/2 + 16*z. Let p(l) be the first derivative of x(l). Factor p(t).
3*t*(t + 1)
Let i = -1071 - -257041/240. Let c(d) be the third derivative of -16/3*d**3 + 0*d + i*d**6 + d**4 - 1/10*d**5 + 0 - 6*d**2. Suppose c(z) = 0. What is z?
4
Let f(j) be the third derivative of -j**8/672 + j**7/210 + j**6/80 - j**5/30 - j**4/12 - 3*j**2 - 4. Determine s, given that f(s) = 0.
-1, 0, 2
Let u = 22 - -2. Let i be ((-4)/3)/((-8)/u). Factor 7*n - 3*n + 6*n**2 + 12*n**3 - 18*n**2 - 4*n**i.
-4*n*(n - 1)**3
Solve 1/5*v**3 - 1/5*v - 4/5 + 4/5*v**2 = 0 for v.
-4, -1, 1
Suppose -2 = l + 2*y, 2*y = l + 2*l - 2. Suppose l = -2*c + 6*c - 8. Find x, given that -4*x**3 + 1 + 5*x**3 - 20*x + 1 + 19*x - 2*x**c = 0.
-1, 1, 2
Suppose -13*j = 4*j - 1971 + 1903. Factor 2*g**2 + 0*g**3 + 0 - 4/3*g - 2/3*g**j.
-2*g*(g - 1)**2*(g + 2)/3
Let p = -13/483 - -1514/2415. Factor 6/5 - p*n**2 - 3/5*n.
-3*(n - 1)*(n + 2)/5
Factor -14844*t - 3*t**5 + 14751*t - 288*t**3 + 17*t**4 - 119*t**4 - 282*t**2.
-3*t*(t + 1)**3*(t + 31)
Let q(c) be the first derivative of -2*c**5/15 - c**4/3 - 2*c**3/9 - 526. Solve q(p) = 0.
-1, 0
Let f(k) be the second derivative of 0*k**2 - 12*k - 1/48*k**3 + 0 + 1/96*k**4. Determine t, given that f(t) = 0.
0, 1
Suppose -6 = -3*i - y - 2*y, -2*i = 3*y. Suppose c - 3 = -i. Let t(x) = x + 1. Let s(d) = 2*d**2 + 9*d + 15. Let v(q) = c*t(q) - s(q). Solve v(h) = 0 for h.
-3
Let w(i) = 237 - 237 + i**2. Let u(l) = 14*l + 49. Let a(s) = 4*u(s) + 4*w(s). Find x, given that a(x) = 0.
-7
Let b be 555/(-666)*(-2 - (-14)/10). Let 1/6*d**3 + 0 + 1/3*d + b*d**2 = 0. What is d?
-2, -1, 0
Let y(o) be the second derivative of 2*o**3 + 0 + 4*o**2 - 2*o + 1/3*o**4. Find p, given that y(p) = 0.
-2, -1
Let z(b) = b**2 + 13*b + 5. Let l be z(-15). Let g = -69/2 + l. Solve -7/2*f**2 - 15/2*f - 9/2 - g*f**3 = 0 for f.
-3, -1
Let f be ((-6)/(-12))/(3/270). Factor 30*a**2 + 109 - 89 - 5*a**3 - f*a + 0*a**3.
-5*(a - 4)*(a - 1)**2
Let k = -36571/5 + 7315. Factor k*h**4 + 4*h**3 - 36/5*h + 0 + 12/5*h**2.
4*h*(h - 1)*(h + 3)**2/5
Factor -96800/7 + 880/7*n - 2/7*n**2.
-2*(n - 220)**2/7
Factor 3/4*i + 0 + 1/8*i**3 - 5/8*i**2.
i*(i - 3)*(i - 2)/8
Factor -3 - 20*g**2 - 24*g**3 - 16*g + 19*g**3 - 7 - 9*g.
-5*(g + 1)**2*(g + 2)
Let v(s) be the third derivative of -1/56*s**4 + 1/2352*s**8 - 1/210*s**5 - 19*s**2 + 1/490*s**7 - 1/42*s**3 + 1/420*s**6 + 0*s + 0. Factor v(i).
(i - 1)*(i + 1)**4/7
Let o(x) = x**3 + 20*x**2 + 38*x + 34. Let l be o(-18). Let v be (-10)/70*((-10)/2 - l). Factor v*g**3 + 3/7*g**2 - 6/7*g + 0.
3*g*(g - 1)*(g + 2)/7
Let o = -766/27 - -1559/54. Solve 0 - q - o*q**2 = 0.
-2, 0
Let 660*a + 0*a - 36300 + 4*a**2 - 7*a**2 = 0. Calculate a.
110
Let h(z) = 2*z + 12. Let a be h(-4). Suppose 2*s = -x + 6*s + 8, -4*x + a = -2*s. Factor 0 - 2/7*q**4 + 0*q + x*q**2 + 2/7*q**3.
-2*q**3*(q - 1)/7
Suppose -h - 3*k = -9, 5*h = -k - 1 + 60. Factor -4*j**2 + h*j + 6*j**2 + 3*j**4 + 12 - 6*j**3 - 11*j**2.
3*(j - 2)**2*(j + 1)**2
Let h(s) = -10*s**3 + 19*s**2 - 17*s + 2. Let d(r) = -r**4 + 11*r**3 - 19*r**2 + 15*r - 2. Let l(y) = 3*d(y) + 2*h(y). Factor l(t).
-(t - 2)*(t - 1)**2*(3*t - 1)
Let y(t) = -1. Let z(f) = 12*f - 1 - 5 - 10*f + 4*f**2 - 22*f. Let j(k) = 6*y(k) - z(k). Determine l, given that j(l) = 0.
0, 5
Let p(r) be the second derivative of -r**6/50 - 3*r**5/100 + 103*r. Factor p(f).
-3*f**3*(f + 1)/5
Let k be ((-168)/35 + 6)/((-9)/(-15)). Solve 0*j**3 + 3/2*j + 0 + 9/4*j**k - 3/4*j**4 = 0.
-1, 0, 2
Find r such that 0*r + 0*r**2 + 3/2*r**4 + 18*r**3 + 0 = 0.
-12, 0
Let m(j) be the second derivative of -j**4/54 + 2*j**3/9 - 6*j - 13. Factor m(g).
-2*g*(g - 6)/9
Factor 45*x**3 - 90 - 91*x**2 - 146*x**2 - 43*x**2 + 465*x.
5*(x - 3)**2*(9*x - 2)
Let p(w) be the second derivative of w**6/45 + w**5/12 - w**4/2 - 19*w**3/3 - 30*w. Let b(u) be the second derivative of p(u). Factor b(z).
2*(z + 2)*(4*z - 3)
Let r(b) be the first derivative of b**4/16 - 17*b**3/12 + 11*b**2/2 - 7*b - 109. Factor r(y).
(y - 14)*(y - 2)*(y - 1)/4
Suppose -138*o + 1456 = 1180. Factor -4/5*t**o - 32/5 + 24/5*t.
-4*(t - 4)*(t - 2)/5
Let 25 + 76*d - 8*d**2 + 1 + 2*d**2 = 0. What is d?
-1/3, 13
Suppose 2*i + y + 1 = 0, -y + 0*y = i - 2. Let t = 3 + i. Find r, given that -32/7*r**3 + 10/7*r**4 + 0 + 8/7*r**2 + t*r + 2*r**5 = 0.
-2, 0, 2/7, 1
Suppose 0 = 4*s + d - 19, 2*s = -2*s + 3*d + 7. Suppose -6*m + 20 = s*m. Factor -4/3*k + 4/3 - k**m + 2/3*k**3 + 1/3*k**4.
(k - 1)**2*(k + 2)**2/3
Determine d, given that 13/5 + 27/10*d + 1/10*d**2 = 0.
-26, -1
Factor 6*g**3 - 21*g**3 + 9*g**3 - 58*g - 45*g**2 + 12*g**3 + 8*g + g**4.
g*(g - 5)*(g + 1)*(g + 10)
Let n be (176/32 - 7)/(-3). Find b, given that 0*b**4 + 0 + b**2 + n*b**5 + 0*b - 3/2*b**3 = 0.
-2, 0, 1
Suppose 99 + 1 = 5*l. Let y = -2 + 7. Let x(a) = -1. Let k(q) = q**2 + 6*q + 13. Let j(i) = l*x(i) + y*k(i). Factor j(b).
5*(b + 3)**2
Let o(z) be the first derivative of -z**4/7 + 44*z**3/7 + 2*z**2/7 - 132*z/7 - 100. Find h, given that o(h) = 0.
-1, 1, 33
Let q be (39/208)/((-18)/(-16)). Let f(m) be the first derivative of -1/24*m**4 + 0*m + q*m**3 - 6 + 0*m**2. Factor f(r).
-r**2*(r - 3)/6
Let f(i) be the second derivative of -i**4/3 + 6*i**3 + 20*i**2 - i - 60. Let f(c) = 0. What is c?
-1, 10
Let p be ((-44)/(-12) - 3)*3*6/24. Find k such that 1/3 + 1/3*k**4 + p*k**5 - 2*k**2 - 1/6*k - 5/3*k**3 = 0.
-1, 1/3, 2
Let v(u) = 2*u + 4. Let p be v(0). Find b such that 171*b**2 + 2*b**p + 2*b - 4*b - b**3 + 3*b**3 - 173*b**2 = 0.
-1, 0, 1
Factor 10*t + 14*t**3 - 5 - 12*t**4 + 16*t**4 - 28*t**2 + 5.
2*t*(t - 1)*(t + 5)*(2*t - 1)
Let y(q) = 222*q - 1551. Let j be y(7). Factor 0*v + 0 - 6/17*v**2 - 2/17*v**j.
-2*v**2*(v + 3)/17
Let o(w) be the first derivative of 5*w**4/12 + 4*w**3/9 - w**2/6 + 215. Factor o(l).
l*(l + 1)*(5*l - 1)/3
Let m(z) be the second derivative of -z**6/30 + 9*z**5/20 - 7*z**4/3 + 6*z**3 - 8*z**2 + 141*z. Factor m(a).
-(a - 4)*(a - 2)**2*(a - 1)
Let u(i) be the third derivative of -i**7/560 + 7*i**6/160 - 61*i**5/160 + 21*i**4/16 - 9*i**3/4 + 88*i**2. Solve u(j) = 0 for j.
1, 6
Let l(w) be the second derivative of -w**7/2940 + w**6/126 - 5*w**5/84 + 8*w**3/3 + 24*w. Let x(o) be the second derivative of l(o). Factor x(u).
-2*u*(u - 5)**2/7
Let t be (-3)/(-2) + 12 + -3 + (-15)/2. Factor 0*j - 2/7*j**t + 0 - 2/7*j**2.
-2*j**2*(j + 1)/7
Let z(j) be the first derivative of -j**6/216 + 5*j**4/72 + 25*j**3/3 - 11. Let a(g) be the third derivative of z(g). Factor a(t).
-5*(t - 1)*(t + 1)/3
Suppose -328*y = -333*y. Let z(n) be the second derivative of 1/3*n**4 - 1/5*n**6 + 1/10*n**5 + 0*n**2 + 0 - 2*n + y*n**3. Find d, given that z(d) = 0.
-2/3, 0, 1
Let m(l) be the first derivative of 1/5*l**6 - l**4 - 2/5*l**5 + 8/3*l**3 + 0*l - 20 - 8/5*l**2. What is a in m(a) = 0?
-2, 0, 2/3, 1, 2
Let f(n) be the third derivative of n**8/336 - n**7/105 - n**6/24 + n**5/10 + 132*n**2. Determine h, given that f(h) = 0.
-2, 0, 1, 3
Suppose -9*i = 30*i. What is d in 12/7*d + 8/7 - 4/7*d**3 + i*d**2 = 0?
-1, 2
Let v(l) be the third derivative of -l**7/1995 + 2*l**5/285 - 397*l**2. Determine b, given that v(b) = 0.
-2, 0, 2
Let l(g) be the first derivative of g**6/9 + 2*g**5/3 + g**4 - 8*g**3/9 - 8*g**2/3 + 92. Factor l(x).
2*x*(x - 1)*(x + 2)**3/3
Suppose 16*g - 310*g - 264*g = -1116. Determine a so that -22/9*a + 4/9 + g*a**2 = 0.
2/9, 1
Let r(d