*2 + 12*x**i - 6*x - 3*x**4 - 10*x**4 + 4*x**4 = 0.
-2/3, 0, 1
Suppose 5*t + 9 = 3*d - 11, d = -t - 12. Let y = -7 - t. Factor 10/3*w**3 + y + 14/3*w**2 + 4/3*w.
2*w*(w + 1)*(5*w + 2)/3
Let i(j) = j**5 - 7*j**4 + j**3 - j**2 - 5*j - 1. Let a(p) = -p**5 + 8*p**4 + 2*p**2 + 5*p + 2. Let m(v) = 3*a(v) + 4*i(v). Factor m(w).
(w - 2)*(w - 1)**3*(w + 1)
Let l = 344/835 - 2/167. Suppose 2/5*i**3 + 2/5*i**2 - 2/5*i - l*i**4 + 0 = 0. Calculate i.
-1, 0, 1
Factor 16/13*u - 14/13 - 2/13*u**2.
-2*(u - 7)*(u - 1)/13
Let v be -1 + 0/1 - 865/(-692). Let r be 1/((-1)/(-2)*1). What is b in -1/2 + 3/4*b - v*b**r = 0?
1, 2
Let l(m) = 3*m. Let i = -9 - -10. Let x be l(i). Factor -4/3*r**2 + 0*r + 2/3 + 2/3*r**4 + 0*r**x.
2*(r - 1)**2*(r + 1)**2/3
Let v(q) = -q**2 - 7*q + 8. Let l(t) = -t**2 - 3*t + 4. Let n(u) = -5*l(u) + 3*v(u). Factor n(o).
2*(o - 2)*(o - 1)
Suppose 2/5*y**2 - 4/5*y**3 - 9/5 - 1/5*y**4 + 12/5*y = 0. Calculate y.
-3, 1
Let r(j) be the first derivative of j**2 + 1 + 0*j + 3/2*j**4 + 2*j**3 + 2/5*j**5. What is l in r(l) = 0?
-1, 0
Let p(h) = 3*h**3 + 4*h + 2. Let b(g) = 2*g**3 + g**3 - 4*g**3 + 4*g**2 - g - 5*g**2. Let z(n) = -5*b(n) - p(n). Factor z(l).
(l + 1)*(l + 2)*(2*l - 1)
Factor -244*y**2 + 38 + 245*y**2 - 2 - 12*y.
(y - 6)**2
Let u(f) = -f**5 - f**4 + f**3 + f**2 - f + 1. Let b(i) = -8*i**5 - 8*i**4 + 11*i**3 + 11*i**2 - 8*i + 2. Let t = 2 - -3. Let n(o) = t*u(o) - b(o). Factor n(p).
3*(p - 1)**2*(p + 1)**3
Let v(b) be the second derivative of 1/3*b**3 + 1/12*b**4 + 3*b + 0 + 0*b**2. Determine c, given that v(c) = 0.
-2, 0
Let z be 1 - (-2)/(-4)*1. Let g = 3/16 - -5/16. Determine k, given that g*k - k**2 - z*k**3 + 1 = 0.
-2, -1, 1
Let z(d) be the first derivative of -1/2*d**6 + d**5 - 2*d**3 + 1/2*d**4 + 1/2*d**2 + d + 4. What is b in z(b) = 0?
-1, -1/3, 1
Let b(a) be the first derivative of -a**6/2 - 3*a**5/5 + 3*a**4/4 + a**3 + 31. Solve b(g) = 0.
-1, 0, 1
Let b = -16/5 + 197/60. Let d(k) be the second derivative of -1/6*k**3 + b*k**4 + 0 - 1/2*k**2 + 1/20*k**5 + 3*k. Suppose d(i) = 0. Calculate i.
-1, 1
Let g(j) = 2*j - 4. Let x be g(4). Suppose -x*q + 6 = -q. Suppose h**2 + h**2 - h - q - h**2 = 0. What is h?
-1, 2
Let l be 4/(-14) + 344/28. Suppose -3*k - l = -7*k. Factor -u**k - u**3 + u + u**3.
-u*(u - 1)*(u + 1)
Let a(r) = -r**3 - 2*r + 5. Let t be a(0). Let n(g) = -15*g**3 - 18*g**2 + 12*g. Let w(x) = 6*x**3 + 7*x**2 - 5*x. Let q(j) = t*n(j) + 12*w(j). Factor q(l).
-3*l**2*(l + 2)
Let k(i) be the second derivative of i**4/24 + i**3/3 + i**2 - 15*i. Find n such that k(n) = 0.
-2
Let l(y) be the first derivative of y**6/6 - y**4/2 + y**2/2 + 60. Solve l(h) = 0.
-1, 0, 1
Let b be 1/(-3) - (-5)/5. Factor 0 - 2/9*w - b*w**2 - 2/9*w**4 - 2/3*w**3.
-2*w*(w + 1)**3/9
Let w(r) = -r**2 - r - 6. Let m(h) = -h**2 - h - 5. Let u(v) = -6*m(v) + 5*w(v). Find s such that u(s) = 0.
-1, 0
Let v = -178 + 184. Let t(s) be the second derivative of 0*s**3 + 1/6*s**2 + 0 - 1/18*s**4 + 1/90*s**v + 0*s**5 + 4*s. Factor t(b).
(b - 1)**2*(b + 1)**2/3
Suppose 51*w - 48*w = 9. Factor -2/3*p**4 - 1/3*p**5 + 0 - 1/3*p**w + 0*p**2 + 0*p.
-p**3*(p + 1)**2/3
Let t(n) be the second derivative of -n**7/2940 + n**6/252 - 2*n**5/105 + n**4/21 + 7*n**3/6 + 4*n. Let c(x) be the second derivative of t(x). Factor c(j).
-2*(j - 2)**2*(j - 1)/7
Factor -12*j**4 + 127 + 15*j**3 + 3*j**5 - 127 - 6*j**2.
3*j**2*(j - 2)*(j - 1)**2
Factor -6/7*o**3 - 4/7*o**2 + 0 + 0*o.
-2*o**2*(3*o + 2)/7
Suppose 0 = 5*u - u + 8. Let n be (u + -1)/(-6)*0. Determine f, given that n*f**3 + 2/7*f**4 + 0*f + 0 + 0*f**2 = 0.
0
Let y be (20/15)/((-2)/(-24)*2). Factor -14/5*u**3 - 2/5*u**4 - 36/5*u**2 - y*u - 16/5.
-2*(u + 1)*(u + 2)**3/5
Let a be (-1 - -6)*(-5)/450*-4. Suppose -2/9*s**2 + a + 0*s = 0. Calculate s.
-1, 1
Let x(n) = 55*n**5 + 55*n**4 - 110*n**3 - 45*n + 45. Let y(t) = -5*t**5 - 5*t**4 + 10*t**3 + 4*t - 4. Let f(m) = 4*x(m) + 45*y(m). Factor f(b).
-5*b**3*(b - 1)*(b + 2)
Let a be 49/4 + (-7)/28. Determine u, given that -2*u**2 + 5*u**2 - 4*u**4 + 12*u + u**2 - a*u**3 + 0*u**3 = 0.
-3, -1, 0, 1
Suppose 3*s - 7*s = 0. Suppose s = 2*m + 1 - 7. Solve 4/3*b - 4/3*b**m - 2/3*b**4 + 0*b**2 + 2/3 = 0.
-1, 1
Let y(x) be the third derivative of x**8/13440 + x**7/1680 + x**4/12 + 5*x**2. Let u(m) be the second derivative of y(m). Factor u(j).
j**2*(j + 3)/2
Let s be (-8)/52 + 2/13. Suppose 3*l - 6*l + 5*j + 6 = s, j - 2 = -l. Factor -2/7*g**3 + 2/7*g**l + 2/7*g - 2/7*g**4 + 0.
-2*g*(g - 1)*(g + 1)**2/7
What is w in 2/3*w**3 + 7/3*w**4 + 0 + 0*w + 0*w**2 + 5/3*w**5 = 0?
-1, -2/5, 0
Let c(g) = -g**2 + 6*g - 3. Let y be c(5). Factor 2 - 15/2*h**2 + y*h.
-(3*h - 2)*(5*h + 2)/2
Let w(a) = -a**2 - 11*a - 7. Let j(g) be the third derivative of g**5/30 + 5*g**4/12 + g**3 - 10*g**2. Let o(y) = -3*j(y) - 2*w(y). Solve o(b) = 0.
-1
Let m(p) be the first derivative of p**5/10 + 2*p**4/3 + 5*p**3/3 + 2*p**2 + 4*p + 6. Let a(t) be the first derivative of m(t). Factor a(i).
2*(i + 1)**2*(i + 2)
Let l(i) be the third derivative of i**7/1260 - i**6/720 - i**5/180 - 4*i**2. Solve l(a) = 0 for a.
-1, 0, 2
Let f(s) be the third derivative of -2/15*s**5 + s**2 + 0*s**4 + 0*s**3 + 0*s - 1/21*s**7 + 0 - 1/168*s**8 - 2/15*s**6. Factor f(m).
-2*m**2*(m + 1)*(m + 2)**2
Suppose 0 = 5*z - 4*z. Factor -17*o**2 + o**2 + 4*o**3 + 9*o - 4 + z*o**4 + 5*o + 4*o**4 - 2*o**5.
-2*(o - 1)**4*(o + 2)
Let p(s) = s**3 + 6*s**2 - 10*s + 3. Let t be p(-7). Suppose -5*l + l = -t. Solve -5 - 8*m + 2*m**2 + 7 + l = 0 for m.
2
Factor -3*s**4 - 3/2*s**2 + 0 - 21/4*s**3 + 3/4*s.
-3*s*(s + 1)**2*(4*s - 1)/4
Let j(w) be the second derivative of -5/9*w**4 - 5/9*w**3 - 1/9*w**6 - 1/3*w**2 - 3*w - 1/63*w**7 - 1/3*w**5 + 0. Factor j(b).
-2*(b + 1)**5/3
Let k be 2/16*80/30. Determine j so that -k*j**2 + 1/3*j + 0 = 0.
0, 1
Let j = -489 - -8309/17. Let g = 14/85 - j. Factor -4/5*h**2 + g*h + 0 + 2/5*h**3.
2*h*(h - 1)**2/5
Let i = 12 - 12. Let r(v) be the third derivative of -1/20*v**6 + 0*v - 1/21*v**4 + 0 - 2/21*v**5 + 2*v**2 + i*v**3. Let r(q) = 0. Calculate q.
-2/3, -2/7, 0
Let u be 1/(-4) + 7/12. Suppose -3*l - 2*o + 8 = 0, -l + 3*o - 2 = -3*l. Suppose 13/3*t**2 + 4/3 + 2*t**3 + 4*t + u*t**l = 0. Calculate t.
-2, -1
Suppose 0 = -2*a + j + 9, -3*a - j + 26 = 2*a. Let s(u) be the second derivative of 0*u**3 + u + 0*u**2 + 0 + 1/20*u**a + 1/12*u**4. Solve s(i) = 0 for i.
-1, 0
Let b(m) be the second derivative of m**7/2940 - m**6/420 + m**4/21 - m**3/6 + 3*m. Let y(u) be the second derivative of b(u). Factor y(o).
2*(o - 2)**2*(o + 1)/7
Factor 162*p**3 + 252*p**2 - 44*p + 61*p + 16 - 153*p.
2*(p + 2)*(9*p - 2)**2
What is c in 3/2*c**4 - 5/4*c**2 + 9/8*c - 1/4 - 5/8*c**5 - 1/2*c**3 = 0?
-1, 2/5, 1
Let l be (-73)/(-44) - (-42)/(-56). Find s such that -14/11*s**2 + 4/11 - l*s = 0.
-1, 2/7
Let p = -26 + 28. Solve 0 - 2/3*d - 2/3*d**p = 0.
-1, 0
Let p(o) be the second derivative of 3*o - 7/90*o**6 + 0*o**2 - 11/36*o**4 + 1/9*o**3 + 0 + 4/15*o**5. Let p(v) = 0. What is v?
0, 2/7, 1
Let b(t) be the third derivative of t**8/224 + t**7/84 - t**6/120 - t**5/20 - t**4/48 + t**3/12 + 5*t**2. Solve b(v) = 0 for v.
-1, 1/3, 1
Suppose 50*r + 6*r**2 + 102 + 23 - r**2 = 0. Calculate r.
-5
Let t(f) = -f**3 - 5*f**2 + 3*f. Let x(r) = -r**3 + r**2 + r. Let k(u) = t(u) - 3*x(u). Factor k(i).
2*i**2*(i - 4)
Let p be 10 - 12 - 4/(-1). Determine v, given that 4*v**5 + 12*v**4 - 2*v**p - 18*v**3 + 14*v**2 + 3*v**5 - 10*v**5 - 3*v = 0.
0, 1
Let d(n) be the third derivative of -n**11/166320 + n**9/15120 - n**7/2520 - n**5/60 - 2*n**2. Let h(b) be the third derivative of d(b). Factor h(y).
-2*y*(y - 1)**2*(y + 1)**2
Let s(o) = -o**3 - 4*o**2 + o + 4. Suppose 5*b - 21 = -1. Let x(n) = n**3 + 5*n**2 - n - 5. Let t(l) = b*x(l) + 5*s(l). Factor t(w).
-w*(w - 1)*(w + 1)
Let y(z) = -2*z - 34. Let l be y(-18). Factor -6/5*q**l - 2/5*q**3 + 2/5*q**4 + 4/5 + 2/5*q.
2*(q - 2)*(q - 1)*(q + 1)**2/5
Let m be 22/6 + (-11)/(-33). Let a(b) = -7*b**2 - 4. Let y(u) = -8*u**2 - 5. Let q(t) = m*y(t) - 5*a(t). Factor q(s).
3*s**2
Let 4/15*r**2 + 8/5*r + 2/15*r**5 + 0*r**4 - 14/15*r**3 - 16/15 = 0. What is r?
-2, 1, 2
Suppose -5*n + 1 - 1 = 0. Let n - 1/5*b - 1/5*b**2 = 0. Calculate b.
-1, 0
Let u(t) be the third derivative of -1/210*t**5 - 1/42*t**4 + 1/140*t**6 - 1/1176*t**8 + 3*t**2 + 0*t + 0