**3 + 9*i**2/2 + 10. Suppose o(n) = 0. Calculate n.
0, 3
Let z = 529/675 - 19/27. Let g(o) be the first derivative of z*o**5 + 0*o**2 - 2/15*o**3 + 0*o + 0*o**4 + 4. Suppose g(b) = 0. What is b?
-1, 0, 1
Let o be 353/3 + 14/(-21). Let h = 587/5 - o. Factor h*r**2 + 8/5 - 8/5*r.
2*(r - 2)**2/5
What is t in 3/2*t**3 + 1/2*t - 5/2*t**4 + 0 + 5/2*t**2 - 2*t**5 = 0?
-1, -1/4, 0, 1
Let z be 4/(4/21) + -1. Suppose q + z = 6*q. Find f such that -2/5*f**2 + 0 + 2/5*f**q + 2/5*f**3 - 2/5*f = 0.
-1, 0, 1
Let s be 4 - ((-224)/(-18))/4. Let d = -22/45 + s. Determine t so that d*t + 0 - 2/5*t**3 + 2/5*t**2 - 2/5*t**4 = 0.
-1, 0, 1
What is x in -168*x**3 - 9/2 + 57*x**2 + 57/4*x = 0?
-2/7, 1/4, 3/8
Let a be 2/(-12)*12/(-9). Let i be (1 - 1)/((-1 - 5) + 7). Let 2/9 + i*d - a*d**2 = 0. Calculate d.
-1, 1
Let q(c) be the first derivative of -1/24*c**3 + 1/80*c**5 - 3 - 1/120*c**6 + c + 1/48*c**4 + 0*c**2. Let d(y) be the first derivative of q(y). Factor d(x).
-x*(x - 1)**2*(x + 1)/4
Let y(n) be the second derivative of -1/30*n**5 + 1/9*n**4 + 0*n**3 + 0*n**2 + 4*n + 0. Factor y(b).
-2*b**2*(b - 2)/3
Let d(b) be the third derivative of b**8/3360 - b**7/360 + b**6/180 - b**5/20 + 4*b**2. Let v(m) be the third derivative of d(m). Find p, given that v(p) = 0.
1/3, 2
Let h = -1 - -3. Suppose -4*v = -4*m - 8, -m + 5*v - h*v = 10. Factor 2*w + 0*w**2 - 2*w**2 + 3*w**3 - m*w - w**4.
-w**2*(w - 2)*(w - 1)
Let h be (-115)/15 + 4/(-12). Let o be 6/h*(-12)/18. Let 0 - 1/2*j**3 + j**2 - o*j = 0. What is j?
0, 1
Let a(d) be the first derivative of 2*d**7/7 + 13*d**6/15 + d**5/5 - 7*d - 3. Let q(n) be the first derivative of a(n). Suppose q(t) = 0. What is t?
-2, -1/6, 0
Let k = 26 + -22. Suppose -4*g = -6*g + k. Factor -1/3 + 4/3*w**g + w.
(w + 1)*(4*w - 1)/3
Suppose -4*f - 4*t + 44 = 0, 2*f - 2*t = 3 - 1. What is g in -9/2*g**4 + 15/2*g**3 + 9/2*g**2 - f*g**5 - 3/2*g + 0 = 0?
-1, 0, 1/4, 1
Let c(a) be the second derivative of 1/21*a**7 + 1/3*a**3 - 1/5*a**5 + 0 + 0*a**4 + 0*a**2 + 0*a**6 - 2*a. Solve c(p) = 0.
-1, 0, 1
Let s(l) be the first derivative of -5 + 0*l + 10/33*l**3 + 1/11*l**2. Factor s(p).
2*p*(5*p + 1)/11
Let v(c) = -c**4 - c**3. Let j(f) = 6*f**4 + 5*f**3 - f**2. Let a(k) = k**3 - 6*k**2 + 4*k + 4. Let d be a(5). Let h(r) = d*j(r) - 5*v(r). Factor h(l).
-l**2*(l - 1)*(l + 1)
Let i(y) be the second derivative of 1/54*y**4 + 2/27*y**3 + 0 + 3*y - 1/90*y**5 + 0*y**2. Factor i(v).
-2*v*(v - 2)*(v + 1)/9
Let i be ((-12)/(-15))/((-2)/(-10)). Suppose -c = i*z, 3*z - 8 = -4*c + 5. Factor -14/3*u**c - 8*u**2 - 2/3 - 11/3*u - u**5 - 26/3*u**3.
-(u + 1)**4*(3*u + 2)/3
Let d(k) be the first derivative of k**4/4 + 4*k**3/3 + k**2/2 + 4*k + 2. Let b be d(-4). Factor b - 1/2*w**3 + 1/2*w**4 - 1/2*w**2 + 1/2*w.
w*(w - 1)**2*(w + 1)/2
Let r(z) be the second derivative of 1/54*z**4 + 2/9*z**2 - 2*z + 1/9*z**3 + 0. Factor r(x).
2*(x + 1)*(x + 2)/9
Let d(r) be the first derivative of -r**4/4 - 7*r**3/15 - r**2/5 - 1. Factor d(m).
-m*(m + 1)*(5*m + 2)/5
Let v(f) be the third derivative of f**7/8820 - f**5/420 - f**4/6 - f**2. Let j(q) be the second derivative of v(q). Factor j(u).
2*(u - 1)*(u + 1)/7
Let r = -25 - -1. Let n be r/(-9) + -1 - 1. Solve n*u**2 - 4/3*u + 2/3 = 0 for u.
1
Let v(k) = 5*k**4 + 39*k**3 - 6*k**2 + 6. Let i(z) = 5*z**4 + 38*z**3 - 7*z**2 + 7. Let h(n) = 6*i(n) - 7*v(n). Solve h(q) = 0 for q.
-9, 0
Find p, given that -10/3*p + 4/3 - 2*p**2 = 0.
-2, 1/3
Let s(l) be the first derivative of -2*l**5/45 + 8*l**3/27 + 1. Determine r, given that s(r) = 0.
-2, 0, 2
Suppose 17*v = 13*v + 12. Let t(u) be the second derivative of 0 + 0*u**4 - 1/90*u**5 - u + 1/9*u**v - 2/9*u**2. Suppose t(r) = 0. Calculate r.
-2, 1
Let m(v) = -v**3 - 4*v**2 + v + 7. Let z be m(-4). Suppose -5*i + 5*j - 5 = 0, -z*j - 4 = -13. Let 1/2*c + 0 - c**i + 1/2*c**3 = 0. What is c?
0, 1
Let y(x) be the third derivative of 4*x**7/1365 + 11*x**6/780 - x**5/130 + 8*x**2. Suppose y(a) = 0. What is a?
-3, 0, 1/4
Let x(j) be the first derivative of -2*j**5/35 - 2*j**4/21 - 2*j**3/63 - 13. Factor x(w).
-2*w**2*(w + 1)*(3*w + 1)/21
Let v(q) be the third derivative of 0 + 0*q**7 + 1/84*q**8 + 1/24*q**4 - 1/24*q**6 + 0*q - 3*q**2 + 0*q**5 + 0*q**3. What is i in v(i) = 0?
-1, -1/2, 0, 1/2, 1
Factor -4/5*q**2 + 0 + 2/5*q**5 + 0*q**3 + 4/5*q**4 - 2/5*q.
2*q*(q - 1)*(q + 1)**3/5
Factor 12*p**2 + 6*p**3 + 15*p - p**3 + 6*p**2 + 5 - 3*p**2.
5*(p + 1)**3
Suppose 4*c - 4 + 0 = -q, 2*c = -3*q + 12. Let p(l) be the first derivative of 6*l - 5*l**3 - 3/4*l**q + 4 + 9/5*l**5 + 3/2*l**2. Factor p(o).
3*(o - 1)**2*(o + 1)*(3*o + 2)
Let u = -2 - -12. Let i be u/2*(0 - -1). Factor m**3 + 4*m**2 - 3*m**2 - 2*m**4 + m**4 - m**i.
-m**2*(m - 1)*(m + 1)**2
Let i = 9/7 - 1. Factor -i + 4/7*u - 2/7*u**2.
-2*(u - 1)**2/7
Let j(u) = -2*u - 5. Let b be j(-4). Let s be (-3*1 + -1)/(-2). Suppose 0*q**3 - 3*q**b + q + q**5 + q**3 + 2 + s*q**4 - 7*q**2 + 3*q**2 = 0. What is q?
-2, -1, 1
Let w(h) = 2*h - 6. Let m be w(5). Let b be m/(-10) - (-33)/45. What is q in -1/3*q**2 + 0 + 0*q + 2/3*q**3 - b*q**4 = 0?
0, 1
Let i(v) be the second derivative of -v**9/27216 + v**7/2520 + v**6/1620 + 2*v**3/3 - 6*v. Let d(f) be the second derivative of i(f). Factor d(o).
-o**2*(o - 2)*(o + 1)**2/9
Factor 3*d**3 + 8*d**3 - 4*d**3 - 25*d**2 + 20*d - 8 - d**4 + 7*d**2.
-(d - 2)**3*(d - 1)
Let v(m) be the first derivative of 0*m**2 - 1/90*m**5 - 1/180*m**6 + 1/3*m**3 + 0*m + 0*m**4 + 4. Let a(w) be the third derivative of v(w). Factor a(p).
-2*p*(3*p + 2)/3
Let k = -12 + 15. Let i(o) = -12*o**4 - 18*o**3 - 7*o**2 - o + 3. Let c(d) = 11*d**4 + 17*d**3 + 7*d**2 + d - 2. Let t(j) = k*c(j) + 2*i(j). Factor t(z).
z*(z + 1)*(3*z + 1)**2
Let g = -282 - -1976/7. Solve 0*h - 2/7 + g*h**2 = 0.
-1, 1
Let c(v) be the third derivative of 0*v - 1/180*v**6 - 1/90*v**5 + 1/36*v**4 + 3*v**2 + 0 + 1/9*v**3. Factor c(g).
-2*(g - 1)*(g + 1)**2/3
Let r be (-5)/(650/(-72)) + (-10)/25. Suppose 2/13*q**3 - 2/13*q - 2/13*q**2 + r = 0. Calculate q.
-1, 1
Find t such that -1/3*t**3 + 0*t**2 - 2/3 + t = 0.
-2, 1
Suppose -69*u**2 - 72*u**2 + 145*u**2 = 0. What is u?
0
Determine q, given that 4*q**2 - 5*q + 3*q**2 - 2*q**2 + 15*q - 15 = 0.
-3, 1
Suppose -8*t + 4*t - 4 = 0. Let j be (-1 - -2) + (-1)/t. Factor 1/2 + 0*g**j - g**3 - 1/2*g**4 + g.
-(g - 1)*(g + 1)**3/2
Let n(g) be the first derivative of 3*g**4/5 + 4*g**3/15 - 4*g**2/5 - 4. Factor n(y).
4*y*(y + 1)*(3*y - 2)/5
Find f such that -1/2*f + 0 + 1/2*f**3 - 1/2*f**2 + 1/2*f**4 = 0.
-1, 0, 1
Let p(h) = h + 9. Let m be p(10). Suppose 4*u = m - 7. Find i, given that i**2 - i**2 - 2 - i + i**u - 2*i = 0.
-1, 2
Let d = -800803/2460 - -4892/15. Let o = d + 6/41. Find i, given that -o*i**2 - 1/2*i**3 + 1/2*i + 3/4*i**4 + 0 = 0.
-1, 0, 2/3, 1
Let j(r) = 4*r**4 - 24*r**3 + 16*r**2 + 8*r - 2. Let v(z) = 7*z**4 - 49*z**3 + 32*z**2 + 16*z - 5. Let t(h) = 5*j(h) - 2*v(h). Determine y so that t(y) = 0.
-1/3, 0, 2
Let x(j) = -j + 2. Let m be x(0). Let v be 5/10*-3*4/(-6). Solve v + 1/4*a**m + a = 0.
-2
Suppose 0 = w - 4*z + 13, 4*w - w - 5*z + 11 = 0. Let j be 5/12 - w/(-12). Factor 0*r**2 + j*r**4 - 4/3*r**3 + 4/3*r - 2/3.
2*(r - 1)**3*(r + 1)/3
Let b(o) = -o**2 + 11*o - 3*o**2 - 12*o**2. Let x(h) be the first derivative of -h**3 + h**2 - 1. Let m(u) = 2*b(u) - 11*x(u). Factor m(y).
y**2
Let c(q) = 177*q - 3*q**2 + 1 + 4*q**2 - 177*q. Let m be c(-1). Solve 2/5*i**5 + 0*i**m + 0 + 0*i - 2/5*i**3 + 0*i**4 = 0 for i.
-1, 0, 1
Let z = 21 + 58. Solve 4*h**2 + 0*h**2 - 31 - h**2 + 24*h + z = 0 for h.
-4
Let j be ((-2)/632)/(3/(-18)). Let f = 343/1422 - j. Factor f*c**2 + 2/9*c**3 - 2/9 - 2/9*c.
2*(c - 1)*(c + 1)**2/9
Let j(a) = a + 6. Let v be j(-6). Suppose 2 = -v*d + d. Factor n**3 + n**4 - n - n**4 + d*n**2 - 2*n**4.
-n*(n - 1)*(n + 1)*(2*n - 1)
Let g be (-20)/5 - (-4)/(40/42). Factor -1/5*z**3 + 1/5*z - 1/5*z**4 + 0 + g*z**2.
-z*(z - 1)*(z + 1)**2/5
Let r(o) = 2*o**4 - 2*o**3 - 3*o**2 + 4*o**4 + 7 - 4*o - 4*o**2. Let h(k) = -4*k**4 + k**3 + 5*k**2 + 3*k - 5. Let t(z) = 7*h(z) + 5*r(z). Solve t(u) = 0.
-1/2, 0, 1
Let s(g) be the first derivative of -3*g**5/5 - 9*g**4/4 - 3*g**3 - 3*g**2/2 - 2. Factor s(p).
-3*p*(p + 1)**3
Suppose 5*g = -o - 2 + 3, 5 = -g + 5*o. Suppose -4 = -2*t + h, -2 = -t - 4*h - 0. Determine y, given that y**4 + g + 1 -