t + 1 + 5*t + 3*t**2 - 2*t**2 + 0 = 0. Calculate t.
-1
Suppose 9 = 2*n + 3. Suppose 8 = n*a - 1. Factor 1/4*r**5 + 1/4*r + 0*r**4 + 0 + 0*r**2 - 1/2*r**a.
r*(r - 1)**2*(r + 1)**2/4
Let p(i) = -10*i**2 + 320*i - 220. Let z(u) = u**2 - 29*u + 20. Let y(m) = -4*p(m) - 45*z(m). Factor y(o).
-5*(o - 4)*(o - 1)
Let g be (-54)/24 + 4/1. Find i, given that -3/4*i**5 + g*i**3 + 5/4*i**4 - 21/4*i**2 - 1 + 4*i = 0.
-2, 2/3, 1
Let s(v) be the third derivative of 0*v + 0 + 1/480*v**6 + 0*v**4 + 0*v**3 + 1/240*v**5 + 3*v**2 - 1/1344*v**8 - 1/840*v**7. Find f such that s(f) = 0.
-1, 0, 1
Let v(x) = 12*x. Let g be v(1). Let a = g - 10. Factor -2/7*u**a - 8/7 - 8/7*u.
-2*(u + 2)**2/7
Let q = 653/1298 - -5/118. Let l = q + -1/22. Factor l*r**2 + 1/2*r - 1/2*r**3 - 1/2.
-(r - 1)**2*(r + 1)/2
Determine r, given that 33/8*r**2 + 105/8*r + 3/8*r**3 + 75/8 = 0.
-5, -1
Suppose 2/5*f**2 + 4/5*f + 2/5 = 0. What is f?
-1
Let v = 28 - 25. Let i be -8*((-6)/44)/v. Factor 2/11*j**2 + 2/11 + i*j.
2*(j + 1)**2/11
Let y(n) = -8*n**2 + 10*n. Let x(w) be the third derivative of -7/60*w**5 + 0*w**3 + 0*w + 0 + 3/8*w**4 - w**2. Let b(v) = 6*x(v) - 5*y(v). Factor b(i).
-2*i*(i - 2)
Let p(c) be the second derivative of c**5/20 + c**4/12 - c**3/6 - c**2/2 + 6*c. Factor p(y).
(y - 1)*(y + 1)**2
Let b(v) = -3*v - v**2 + 2*v**2 + 5*v**2 + 9*v**3 + 4. Let j(n) = 9*n**3 + 6*n**2 - 3*n + 3. Let q(s) = 3*b(s) - 4*j(s). Factor q(i).
-3*i*(i + 1)*(3*i - 1)
Let m = 27 + -73/3. Let b(y) be the first derivative of y**6 + m*y**3 - y**2 - y**4 - 2 - 8/5*y**5 + 0*y. Solve b(i) = 0 for i.
-1, 0, 1/3, 1
Let g(f) be the first derivative of 2*f**5/25 - f**4/10 + 2. Factor g(q).
2*q**3*(q - 1)/5
Let h be 216/160 + (-6)/10. Factor h*i + 1/2 + 1/4*i**2.
(i + 1)*(i + 2)/4
Let g be (2 - (-5)/(-4))*(28 + -24). Solve -8/5*w**g - w**4 - 1/5*w**2 + 2/5*w + 0 = 0 for w.
-1, 0, 2/5
Let r(z) = -2 + z**2 - 3*z**2 - 78*z + 63*z. Let f(p) = -p. Let a(d) = -22*f(d) + 2*r(d). Let a(k) = 0. Calculate k.
-1
Let v(u) be the second derivative of -1/18*u**3 + 1/90*u**6 - 1/126*u**7 - 1/18*u**4 + 1/30*u**5 - u + 1/6*u**2 + 0. Factor v(i).
-(i - 1)**3*(i + 1)**2/3
Let r be 128/9 + (-26)/117. Let f = r - 10. Suppose 6/7*j**f + 0*j + 6/7*j**3 + 2/7*j**5 + 0 + 2/7*j**2 = 0. Calculate j.
-1, 0
Suppose 2*b - 4*a + 24 = 4*b, 13 = 4*b + a. Solve -2/5*m**2 + 0 + 0*m - 14/5*m**4 - 6/5*m**5 - b*m**3 = 0 for m.
-1, -1/3, 0
Let z(x) be the second derivative of x**6/600 - x**5/300 - x**4/120 + x**3/30 + x**2/2 + 3*x. Let t(w) be the first derivative of z(w). Let t(u) = 0. What is u?
-1, 1
Suppose -f - 446 = 5*o, 3*f + 75 = -o - 3. Let u be (-78)/o + 3/9. Let -3/5*y**3 + 0 + 0*y + u*y**2 = 0. Calculate y.
0, 2
Let l be 10/(-4)*30/(-25). Suppose 3*a + 2 = -l*n - 7, -n - 3*a - 13 = 0. Factor 2/3*j**n + 2/3*j + 0.
2*j*(j + 1)/3
Let f(t) = 3*t - t**3 + 0*t**4 + 1 - 4*t - 2*t**4 + t**4. Let o(s) = -6*s**4 - 34*s**3 - 96*s**2 - 130*s - 62. Let b(i) = -2*f(i) + o(i). Solve b(g) = 0.
-2
Let c(q) be the second derivative of -q**5/80 - 5*q**4/16 - 25*q**3/8 - 125*q**2/8 - 32*q. Find x, given that c(x) = 0.
-5
Let y(p) be the second derivative of -p**7/3780 + p**6/1080 + p**4/6 - 2*p. Let s(c) be the third derivative of y(c). Determine l so that s(l) = 0.
0, 1
Let m(h) = -h**2 - 2*h + 12. Let j be m(-5). Let w be (63/8)/j*-2. Solve 3/2 - 21/4*l**2 - 33/4*l**3 + 15/4*l**4 + w*l + 3*l**5 = 0 for l.
-2, -1, -1/4, 1
Determine o so that 0 + 0*o**3 + 2/7*o**5 - 4/7*o**2 - 2/7*o + 4/7*o**4 = 0.
-1, 0, 1
Let p be 200/(-56) - 1 - -5. Let 0*b - p*b**2 + 3/7*b**3 + 0 = 0. What is b?
0, 1
Suppose 9 = 2*v - 1. Let h(u) = -u + 14. Let m be h(11). Determine q, given that -q**3 + q**2 + q**v - q**4 + m - 3 = 0.
-1, 0, 1
Let n = 1201/30 + -40. Let x(q) be the second derivative of -1/48*q**4 + 0 - n*q**6 - 2*q + 1/16*q**5 + 0*q**3 + 0*q**2. Factor x(k).
-k**2*(k - 1)*(4*k - 1)/4
Let q = 8521/30 + -284. Let l(x) be the first derivative of 1/10*x**2 + 0*x + 1 - 2/25*x**5 - q*x**6 + 2/15*x**3 + 0*x**4. Factor l(i).
-i*(i - 1)*(i + 1)**3/5
Let x = 3 + -1. Suppose -x*t - 2 = -6. Suppose 6*z + 0*z**2 + 4 - 2*z**2 - 6*z**2 - t*z**2 = 0. Calculate z.
-2/5, 1
Let c = 6 + -15. Let j = 11 + c. Factor -1/3*y**5 + 0*y + 0 + 1/3*y**4 + 0*y**3 + 0*y**j.
-y**4*(y - 1)/3
Let r(j) be the third derivative of j**6/45 + j**5/20 - j**4/12 - j**3/6 - 2*j**2. Let n(z) be the first derivative of r(z). Factor n(u).
2*(u + 1)*(4*u - 1)
Let h + 1/2*h**3 - 1/3 - 1/12*h**4 - 13/12*h**2 = 0. What is h?
1, 2
Let -n**4 + 10*n**3 - 5*n**2 + 6*n**4 - 3*n**4 - 7*n**4 = 0. What is n?
0, 1
Let u(q) = q**3 + q. Let l(t) = -5*t**3 + 3*t**2 - 7*t + 1. Let d(i) = -3*l(i) - 12*u(i). Find r such that d(r) = 0.
1
Let x(n) be the second derivative of -n**5/10 + n**4/9 + n**3/9 + 2*n. Determine i so that x(i) = 0.
-1/3, 0, 1
Suppose 8/7 - 2/7*t**2 - 8/7*t + 2/7*t**3 = 0. Calculate t.
-2, 1, 2
Let o be (-4)/5*(-15)/6. Suppose -3*h = o*h - 10. Factor -3*d**3 + 4*d**2 + 2*d - 7*d**h - d**4 - 3*d.
-d*(d + 1)**3
Let f(m) be the first derivative of -3 - 4/7*m + 2/21*m**3 - 1/7*m**2. Solve f(p) = 0 for p.
-1, 2
Let s = 3 + 0. Let z(y) be the third derivative of 0*y**s + 0 + 0*y - 1/90*y**5 - 2*y**2 + 1/36*y**4. Determine w, given that z(w) = 0.
0, 1
Let f(o) be the third derivative of -5/108*o**4 + 0*o - 2/27*o**3 + 0 - 1/540*o**6 - 2/135*o**5 + 8*o**2. Factor f(k).
-2*(k + 1)**2*(k + 2)/9
Solve -128*s**3 - 10*s + 60*s**4 + 2*s - 225*s**2 + 301*s**2 = 0.
0, 2/15, 1
Let u = 382 + -382. Solve u*s + 0 + 3/8*s**3 + 3/8*s**2 = 0.
-1, 0
Let x = -38 - -42. Let o(w) be the third derivative of 1/90*w**6 + 1/315*w**7 + 0*w + 0*w**3 + 0 + 1/90*w**5 + 2*w**2 + 0*w**x. Find p, given that o(p) = 0.
-1, 0
Let m = -1110 + 1110. Let 1/6*u**3 + 1/2*u**2 + m + 1/3*u = 0. Calculate u.
-2, -1, 0
Factor 0*j**2 - 2/13*j**4 - 6/13*j**3 + 0 + 8/13*j.
-2*j*(j - 1)*(j + 2)**2/13
Let u be (-1)/(-4) - (-71)/4. Factor 10*n - 18*n - 54 - 32*n - 2*n**3 - u*n**2 - 14*n.
-2*(n + 3)**3
Let d(q) be the second derivative of 2*q**7/21 - 8*q**6/15 + q**5/5 + 14*q**4/3 - 40*q**3/3 + 16*q**2 + 28*q. Suppose d(s) = 0. Calculate s.
-2, 1, 2
Let l be -2 + (-3 - -9) + 0. Factor -l*j - 2*j**3 + j**3 + 6*j**2 - 3*j**3 + 2*j**3.
-2*j*(j - 2)*(j - 1)
Let h(m) = m**3 + 5*m**2 + 6. Let l be h(-5). Let t = -4 + l. Suppose 0*a**t + 0 - 2/5*a**5 - 2/5*a**3 + 4/5*a**4 + 0*a = 0. What is a?
0, 1
Let h = -7 + 9. Suppose 3*m = 6*m + 15, -2*z - h*m - 8 = 0. Suppose 5 - z - 3 - w**2 + 0*w**2 = 0. What is w?
-1, 1
Let n(c) be the third derivative of c**6/540 + 2*c**5/15 + 4*c**4 + 64*c**3 - 42*c**2. What is x in n(x) = 0?
-12
Let j(f) be the first derivative of f**4/30 + f**3/15 - 3*f + 3. Let z(y) be the first derivative of j(y). What is s in z(s) = 0?
-1, 0
Let a(l) be the third derivative of -1/18*l**4 + 0 + 1/90*l**6 + 0*l**3 - 1/30*l**5 - 4*l**2 + 0*l. Determine m, given that a(m) = 0.
-1/2, 0, 2
Let t = 3/19 - -93/133. Factor -4/7 - 2/7*x**2 + t*x.
-2*(x - 2)*(x - 1)/7
Let s be ((-8)/(-6))/(2/(-6)). Let r(k) = k**2 + 2*k - 4. Let g be r(s). Factor -2*a**2 - a**3 - 2*a**3 - a**3 - 2*a**g.
-2*a**2*(a + 1)**2
Let q = -39 + 60. Let -12*o**3 + 12*o - 20*o**2 + q*o**4 + 0 - 5*o**4 + 4 = 0. What is o?
-1, -1/4, 1
Let n(m) be the second derivative of -m**5/50 - m**4/6 - 8*m**3/15 - 4*m**2/5 - 21*m. Factor n(i).
-2*(i + 1)*(i + 2)**2/5
Factor -14*v + 92 - 86 + 5*v + 3*v**3.
3*(v - 1)**2*(v + 2)
Suppose 19 = 3*t + 31. Let q be -2 - (0/(-1) + t). Factor 4/13*c**q - 2/13*c - 2/13*c**3 + 0.
-2*c*(c - 1)**2/13
Let d(f) = -f**5 - f**4 - f**3 - f**2 + f. Let q(w) = -2*w**5 + 2*w**4 - 12*w**2 + 3*w. Let z(x) = -3*d(x) + q(x). Find n such that z(n) = 0.
-3, 0, 1
Let b = 2/37 - -64/185. Factor -b*i**2 + 6/5*i - 4/5.
-2*(i - 2)*(i - 1)/5
Factor 3/4*u - 3/8*u**2 + 0.
-3*u*(u - 2)/8
Let m be (-4)/(-7) - (-420)/(-1078). Factor 0 + m*d**2 - 4/11*d.
2*d*(d - 2)/11
Factor 4/5*s**4 + 0 + 0*s**2 - 4/5*s**3 + 0*s.
4*s**3*(s - 1)/5
Let a(i) be the third derivative of -i**10/453600 + i**9/181440 + i**8/30240 - 2*i**5/15 + 8*i**2. Let c(y) be the third derivative of a(y). Factor c(q).
-q**2*(q - 2)*(q + 1)/3
Let f = 15/2 - 29/4. Let i(h) be the first derivative of -1 + 1/2*h**2 + 1/4*h**4 - 1/2*h**3 - 1/20*h**5 - f*h. Determine a so that i(a) = 0.
1
Let j be 3 + (3 - 80/14). Let o = 240/7 - 34. Facto