 32 = 4*o. Factor 16*z**2 + 13*z - 25*z + 4 - o*z.
4*(z - 1)*(4*z - 1)
Let o(r) be the second derivative of r**7/168 + r**6/120 - 3*r**5/40 - r**4/12 + r**3/3 - 47*r. Suppose o(j) = 0. Calculate j.
-2, 0, 1, 2
Let q(b) be the first derivative of -8 + 2/3*b**3 - 8*b + 0*b**2. Let q(y) = 0. What is y?
-2, 2
Let x = 65/161 + -6/23. Suppose -2 = -3*z + u, 3*z = 5*u - 5 - 9. Let -1/7*h + x*h**z + 0 = 0. What is h?
0, 1
Let a(i) = 2*i**2 - 10*i + 2. Let w(j) be the first derivative of j**3/3 - 11*j**2/2 + j + 2. Let g(z) = -3*a(z) + 2*w(z). Factor g(u).
-4*(u - 1)**2
Let 133*m - 24*m**3 - 19*m**4 + 48*m**2 - 3*m**5 - 6 + 25 + 11*m + m**4 + 77 = 0. Calculate m.
-2, 2
Let h = -171/11 + 375/22. What is b in -h*b + 9/4 + 1/4*b**2 = 0?
3
Let c(b) be the third derivative of b**5/60 - 7*b**4/24 + 3*b**3/2 + 7*b**2. Let w be c(6). Factor -1/3*g**w + 1/3*g + 2/3 - 2/3*g**2.
-(g - 1)*(g + 1)*(g + 2)/3
Determine t so that 0*t**5 - 4*t**5 + t**4 + 39*t**4 + 83*t**2 + 8 + 50*t + 44*t**3 - 41*t**4 = 0.
-2, -1, -1/4, 4
Let l(x) = 67*x**2 - 16*x + 19. Let y(f) = -94*f**2 + 24*f - 28. Let h(j) = 7*l(j) + 5*y(j). Find w such that h(w) = 0.
1, 7
Determine d, given that 4/3*d - 16/3 + 2/3*d**2 = 0.
-4, 2
Let v = 16 - 11. Suppose 4*l + 3*j = -3, 7*l + 4*j = 2*l - v. Determine b, given that -l - 6*b**2 - b**3 + 3*b + 9*b**2 - 2*b**3 = 0.
-1, 1
Suppose 0 = -4*d + 9*d + 13*d. Let f(b) be the third derivative of 0*b**3 - 1/12*b**4 - 1/60*b**5 - 5*b**2 + 0*b + d. Factor f(m).
-m*(m + 2)
Let k(x) = x**2 - 11*x + 2. Let z be k(11). Suppose -3*h + 20 = z*h. Solve 0*c - 9*c**2 - 8*c + 2*c + 3*c**h = 0.
-1, 0, 2
What is a in 5*a**4 + 55*a**2 - 60 - 245/2*a + 245/2*a**3 = 0?
-24, -1, -1/2, 1
Factor 14/9 - 58/9*l + 8/9*l**2.
2*(l - 7)*(4*l - 1)/9
Let 3/5*s**5 + 0 - 3*s + 18/5*s**2 - 18/5*s**4 + 12/5*s**3 = 0. Calculate s.
-1, 0, 1, 5
Let n(u) be the second derivative of 2*u**6/105 + 16*u**5/7 + 800*u**4/7 + 64000*u**3/21 + 320000*u**2/7 - 167*u. Factor n(w).
4*(w + 20)**4/7
Suppose -16 = 3*r - 49. Suppose 0 = 2*k + 5 - r. Determine l, given that 2*l - 2*l + 4*l - l**2 - k = 0.
1, 3
Solve 6 + 166/7*o - 8/7*o**2 = 0.
-1/4, 21
Let h be (-17)/(748/492) + 13. Let y(r) be the first derivative of 1/11*r**4 - 8/11*r + 14/55*r**5 - 8 - h*r**2 - 14/11*r**3. Solve y(j) = 0.
-1, -2/7, 2
Determine a, given that 60 - 107*a + 227 - 5*a**2 + 208 + 135 - 198*a = 0.
-63, 2
Let w = 13 - 8. Let r = w + -2. Factor 3*q - 55 - 4*q**3 + 3*q**r + 27 + 26.
-(q - 1)**2*(q + 2)
Suppose 52*j = 80*j. What is q in -6/5*q**4 + j*q**2 + 3/5*q**5 + 0*q + 0 - 9/5*q**3 = 0?
-1, 0, 3
Let o(c) be the second derivative of -c**5/20 + 199*c**4/4 - 39601*c**3/2 + 7880599*c**2/2 + 3*c + 9. Let o(k) = 0. Calculate k.
199
Let i be -5 + 11/((-594)/(-288)). Factor 1/3*h**2 - 2/3*h + i.
(h - 1)**2/3
Let n(q) be the first derivative of q**6/120 + q**5/16 - q**4/48 - 5*q**3/24 + 7*q + 8. Let s(r) be the first derivative of n(r). Determine a so that s(a) = 0.
-5, -1, 0, 1
Let j(m) = -3*m**4 + 27*m**3 - 51*m**2 + 63*m - 24. Let q(t) = -2*t**3 - t**2 - t. Let u(n) = -j(n) - 3*q(n). Determine x so that u(x) = 0.
1, 2
Let m(j) = 4*j**3 - j**2 - j. Let l be m(-1). Let q be 1/l*(52/(-12) + 3). Factor -q + k**4 - 2/3*k**2 + k - 2/3*k**3 - 1/3*k**5.
-(k - 1)**4*(k + 1)/3
Let l(n) be the first derivative of 1/14*n**4 - 4/21*n**3 + 1/7*n**2 - 2 + 0*n. Factor l(y).
2*y*(y - 1)**2/7
Factor 10*k**2 + 12*k + 5*k + 5*k**3 - 42*k - 30.
5*(k - 2)*(k + 1)*(k + 3)
Let g(r) be the second derivative of -1/25*r**6 + 0*r**4 + 0*r**3 + 1/105*r**7 - 16*r + 1/25*r**5 + 0*r**2 + 0. Let g(i) = 0. What is i?
0, 1, 2
Let n(l) be the second derivative of l**4/18 + 56*l**3/9 + 85*l. What is i in n(i) = 0?
-56, 0
Find k such that 5*k - 12 + 4*k**2 + k - 14*k = 0.
-1, 3
Let a(q) be the first derivative of -q**5/10 + 11*q**4/2 - 242*q**3/3 - 77. Factor a(m).
-m**2*(m - 22)**2/2
Suppose -3*a**2 + 30 + 117/2*a = 0. Calculate a.
-1/2, 20
Let f = 1237 - 1237. Let c(i) be the first derivative of 1/12*i**6 + 0*i**2 - 1/8*i**4 + f*i - 1/6*i**3 + 2 + 1/10*i**5. Suppose c(p) = 0. Calculate p.
-1, 0, 1
Suppose -3*s + 10 = 2*s. Let n be 1 + s - ((-99)/(-27) - 2). What is q in -2/3*q**2 - n*q - 2/3 = 0?
-1
Let v be 5/30 - 1/6. Suppose -5*x - 2 = -4*q + 11, 3*x = 3*q - 9. Solve v*d - 1/7*d**q + 1/7 = 0 for d.
-1, 1
Suppose 7*l - 9*l + 4 = 0. Let o(s) be the third derivative of 0 + 0*s + 1/12*s**4 + 1/2*s**3 + 1/180*s**5 - 4*s**l. Determine a, given that o(a) = 0.
-3
Suppose 27/8*y**2 + 6 - 9*y - 3/8*y**3 = 0. What is y?
1, 4
Let o be (1 + (-9)/8)/((-183)/1098). Find g such that -o*g**5 + 3/2*g**2 + 3*g**3 - 3/2 + 0*g**4 - 9/4*g = 0.
-1, 1, 2
Let j be (4/6)/(1/3). Let l = -7223 - -43339/6. Factor 1/6*o**4 + 0 + 1/6*o**3 + 0*o - 1/6*o**5 - l*o**j.
-o**2*(o - 1)**2*(o + 1)/6
Suppose -36*w + 6 = -34*w. Factor 3*z**5 + 0*z**5 + 11*z + 3 - 6*z**2 - 8*z + 3*z**4 - 6*z**w.
3*(z - 1)**2*(z + 1)**3
Let x(h) be the second derivative of -h**6/75 + 7*h**5/50 - h**4/30 - 9*h**3/5 - 18*h**2/5 - 17*h - 1. Find g such that x(g) = 0.
-1, 3, 6
Suppose 0 - 67*d**3 + 15*d + 126*d**3 - 58*d**3 - 7*d**2 - 9 = 0. What is d?
1, 3
Let h(a) = a**2 + 2. Let x be 4*(0 + 2)/(-4). Let z be h(x). Determine f so that -2*f**2 + 10*f**3 - z*f**5 - 3*f**5 - 5*f**3 - 3*f**4 + f**2 = 0.
-1, 0, 1/3
Let s be 0*(-6)/(-78) + 3/1. Let v(h) be the third derivative of -8*h**2 + 0*h**4 + 0*h**s + 0*h - 1/600*h**6 + 0 - 1/300*h**5. Factor v(i).
-i**2*(i + 1)/5
Let j(m) be the second derivative of -2/3*m**3 - 6*m**2 + 17*m + 3/4*m**4 + 0 - 1/30*m**6 + 0*m**5. Let j(v) = 0. Calculate v.
-3, -1, 2
Suppose 5*p = -7*p. Let x(b) be the first derivative of 6/5*b**5 + 1/2*b**6 + 0*b**4 - 3/2*b**2 - 2*b**3 + p*b - 5. Determine i so that x(i) = 0.
-1, 0, 1
Let f(c) be the third derivative of -3*c**2 + 0*c - 32/3*c**3 + 0 + 4/3*c**4 - 1/15*c**5. Factor f(l).
-4*(l - 4)**2
Let a = 878/399 + -40/19. Let c(j) be the first derivative of 0*j - 1/7*j**2 - a*j**3 - 1. Suppose c(k) = 0. What is k?
-1, 0
Let i(o) be the second derivative of o**6/10 + 81*o**5/20 + 173*o**4/4 + 417*o**3/2 + 513*o**2 + 616*o. Factor i(h).
3*(h + 2)*(h + 3)**2*(h + 19)
Let k(z) be the third derivative of 0*z - 1/4*z**4 + 1/3*z**3 + 0 - 1/60*z**6 + 16*z**2 + 1/10*z**5. Factor k(h).
-2*(h - 1)**3
Let o(k) be the third derivative of -k**7/70 + 37*k**6/40 - 18*k**5 + 81*k**4/2 + 528*k**2. Let o(m) = 0. Calculate m.
0, 1, 18
Suppose -2*y - 3*y - 2*v = -21, -v = -y. Let m = 10 - 6. Factor 2 + m*w**y - 3*w**4 - 2*w + w**4 - 2*w.
-2*(w - 1)**3*(w + 1)
Let w(b) be the second derivative of -b**5/50 - 29*b**4/15 + 59*b**3/15 - b + 131. Let w(r) = 0. What is r?
-59, 0, 1
Let m(f) be the third derivative of -f**7/70 - f**6/8 - 2*f**5/5 - f**4/2 + 5*f**2 + 5. Factor m(d).
-3*d*(d + 1)*(d + 2)**2
Let f(i) = i**3 + 8*i**2 + 6*i - 3. Let l be f(-7). Suppose 15 - 7 = l*p. Find b such that -3/4 - 1/4*b + b**p = 0.
-3/4, 1
Let r(d) = 1494*d + 4484. Let j be r(-3). Factor 0*b + 0 + 2/9*b**j.
2*b**2/9
Let r = 526 - 522. Let s(i) be the first derivative of -1/12*i**r - 8 + 2/9*i**3 - 1/6*i**2 + 0*i. Let s(w) = 0. What is w?
0, 1
Let o(l) = -l**3 - 2*l**2 + 2*l. Let c(n) = -n**4 - 5*n**3 - 17*n**2 - 35*n - 10. Let u(p) = c(p) + 4*o(p). Factor u(r).
-(r + 1)**2*(r + 2)*(r + 5)
Let h(m) = m**4 + 17*m**3 - 55*m**2 + 57*m - 20. Let u(n) = 8*n**4 + 136*n**3 - 439*n**2 + 455*n - 160. Let r(p) = 51*h(p) - 6*u(p). Factor r(w).
3*(w - 1)**3*(w + 20)
Let m(k) be the first derivative of -5 + 0*k - 1/3*k**3 + 2*k**2. Factor m(h).
-h*(h - 4)
Let y(a) be the second derivative of 5/4*a**3 + 0*a**2 - 1/8*a**4 - 7*a + 0. Factor y(q).
-3*q*(q - 5)/2
Suppose -13*d**2 + 19*d**2 - 25 - 29*d + 40 - 20 = 0. What is d?
-1/6, 5
Let x be (-12)/(-10)*(-40)/(-16). Suppose 4*y = -x*z + 9, -2*y + 2*z = -4 - 4. Factor 1/3*w**2 - 1/3 - 1/3*w + 1/3*w**y.
(w - 1)*(w + 1)**2/3
Let v(o) = -27*o**2 + 309*o - 1467. Let l(n) = -7*n**2 + 78*n - 367. Let i(t) = -15*l(t) + 4*v(t). Let i(k) = 0. What is k?
11
Let u be (-1 + 0 + 1)*(7 + -6). Find o such that -3*o - 3*o**2 + u*o + 3*o = 0.
0
Suppose -3*i + 2*r = -0*i + 31, i = -r - 7. Let m = 13 + i. Factor -2*z**5 + m*z**2 - 9*z**3 + 4*z**3 + 8*z**4 - 5*z**3.
-2*z**2*(z - 2)*(z - 1)**2
Suppose -21*q + 7*q = -28. Let f(n) be the second derivative of -3*n + 1/45*n**6 + 0*n**q - 