q**2 = 0.
-1, 1
Suppose 12*b = 22*b. Factor -1/2*h**3 + 1/4*h**2 + 0*h + 1/4*h**4 + b.
h**2*(h - 1)**2/4
Solve 0 + 4/7*q**3 - 2/7*q**4 + 0*q**2 + 0*q = 0.
0, 2
Let l = 3/4 + -1/4. Suppose -5*n + 8 = -n. Suppose -l + 5/2*c - n*c**2 = 0. Calculate c.
1/4, 1
Let y(v) be the first derivative of -2*v**3/21 + 12*v**2/7 - 72*v/7 + 62. What is t in y(t) = 0?
6
Let v(j) = j + 2. Let z be v(0). Suppose -z*t + 18 = 8. Find m, given that -3/2 + 3/2*m**2 + 3/4*m**t + 9/4*m + 0*m**4 - 3*m**3 = 0.
-2, -1, 1
Let l = -70/61 + -7214/305. Let i = l - -1156/45. Factor 0*m - 2/9*m**3 + 10/9*m**4 - i*m**5 + 0 + 0*m**2.
-2*m**3*(m - 1)*(4*m - 1)/9
Factor 8/5 - 36/5*b + 12/5*b**2 + 16/5*b**3.
4*(b - 1)*(b + 2)*(4*b - 1)/5
Determine x so that -2/3 - 7/3*x**5 + 11/3*x - 14/3*x**2 - 4/3*x**3 + 16/3*x**4 = 0.
-1, 2/7, 1
Let m(a) = 12*a - 13*a**2 - 2*a**2 + 8*a**3 - 2 - 5*a**2. Let t(r) = r**3 - r**2 + r. Let k(w) = -m(w) - 2*t(w). Factor k(v).
-2*(v - 1)**2*(5*v - 1)
Suppose 4*s - 47 = -s - 4*v, 2*v = 6. Find l such that -2*l + s*l + 4*l**2 - 6*l - l**3 - 2*l**3 = 0.
0, 1/3, 1
Let g be (-1)/(-4) - (-31)/4. Let i = g - 3. Solve -i*d + 0*d**3 - 2*d + 2 - 2*d**3 + 6*d**2 + d = 0 for d.
1
Let t(o) = -3*o**3 - 9*o**2 - 18*o + 12. Let i(m) = 2*m**3 + 5*m**2 + 9*m - 6. Let v(c) = -9*i(c) - 5*t(c). Factor v(q).
-3*(q - 1)**2*(q + 2)
Let y = 49 - 21. Let q = y + -26. Suppose 0 + 0*k**q + 0*k + 1/3*k**3 = 0. What is k?
0
Factor -2/5*b**5 + 0 + 8/5*b**4 - 12/5*b**3 - 2/5*b + 8/5*b**2.
-2*b*(b - 1)**4/5
Let w(r) = -3*r - 5 - 1 - 3*r**2 + r. Let i(o) = 10*o**2 + 5*o + 19. Let d(h) = -6*i(h) - 21*w(h). What is j in d(j) = 0?
-2
Let f(i) be the third derivative of i**6/780 + i**5/195 - i**4/156 - 2*i**3/39 - 25*i**2. Factor f(w).
2*(w - 1)*(w + 1)*(w + 2)/13
Let k(f) = -45*f**2 + 125*f. Let w(b) = -5*b**2 + 14*b. Let c(s) = -4*k(s) + 35*w(s). Factor c(x).
5*x*(x - 2)
Suppose 7*w - 21 = 3*w + 5*y, -7 = 2*w + y. Let n(t) = t**2 - t. Let p(r) = 3*r**2 - r - 2. Let c(i) = w*p(i) + 2*n(i). Determine f, given that c(f) = 0.
-2, 1
Let n(c) be the first derivative of -8/5*c**5 + c**6 + 4/3*c**3 + 0*c - 1/2*c**4 + 0*c**2 + 2. Determine x so that n(x) = 0.
-2/3, 0, 1
Let x(a) be the second derivative of 0 - 3*a + 1/120*a**6 + 1/8*a**2 + 1/24*a**3 - 1/24*a**4 + 1/168*a**7 - 1/40*a**5. Factor x(u).
(u - 1)**2*(u + 1)**3/4
Let w be (1/4*5)/((-65)/(-78)). Factor 3/2*z**5 - 3/2*z**3 + 0 - w*z**4 + 3/2*z**2 + 0*z.
3*z**2*(z - 1)**2*(z + 1)/2
Let c be (-4)/(-24)*-2 - (-2 - 0). Factor -c*i**3 + 0*i + 0 - 1/3*i**5 + 2/3*i**2 + 4/3*i**4.
-i**2*(i - 2)*(i - 1)**2/3
Let l(m) be the second derivative of -m**7/420 + m**6/300 + 3*m**5/200 - m**4/24 + m**3/30 - 18*m. Solve l(f) = 0.
-2, 0, 1
Let b(i) be the second derivative of -i**7/210 + i**6/60 - i**5/60 + i**2 - 3*i. Let s(v) be the first derivative of b(v). Solve s(o) = 0.
0, 1
Let n be (8 + 1)/(-1*1). Let f = n + 11. Factor -2/3 + 1/3*h**f - 1/3*h.
(h - 2)*(h + 1)/3
Let j = 64 + -442/7. What is u in -2/7*u**3 - 2/7 - j*u - 6/7*u**2 = 0?
-1
Let x(o) = 2*o**2 + o - 1. Let d be x(1). Factor -s**d + s + 0*s + 0*s.
-s*(s - 1)
Suppose 2/9*v**5 + 20/3*v**3 + 2*v**4 + 22/3*v + 2 + 92/9*v**2 = 0. What is v?
-3, -1
Let i(t) = t**3 - 13*t**2 + 13*t - 17. Let f be i(12). Let k = f + 7. Suppose -1/4*a**4 - 1/4*a**3 + 0*a + 0 + 0*a**k = 0. What is a?
-1, 0
Let x(a) be the third derivative of 1/40*a**5 - 5*a**2 - 3/160*a**6 + 0*a + 1/280*a**7 + 0 + 0*a**3 + 0*a**4. Let x(r) = 0. Calculate r.
0, 1, 2
What is j in 16/19 - 6/19*j**4 - 24/19*j - 60/19*j**2 - 34/19*j**3 = 0?
-2, 1/3
Let c = 1823/44 - 165/4. Let c*p**3 - 8/11*p**2 + 10/11*p - 4/11 = 0. What is p?
1, 2
Suppose 0 = -3*a - 0*i - 5*i + 12, -4*a = -3*i - 16. Let p be a + (-212)/44 + 3. Factor 2/11*o**4 - 12/11*o**3 + 26/11*o**2 - p*o + 8/11.
2*(o - 2)**2*(o - 1)**2/11
Let p(n) = -2*n**5 - 6*n**4 + 2*n**3 + 36*n**2 + 22*n + 14. Let y(l) = l**2 + l + 1. Let s(o) = 2*p(o) - 44*y(o). Solve s(j) = 0 for j.
-2, -1, 1
Let n be (-58)/(-6) + 4/12. Let k be (6/n)/(8/20). Factor -3/2*v - 1/2*v**3 - k*v**2 - 1/2.
-(v + 1)**3/2
Let b(j) be the third derivative of -j**5/12 + 5*j**4/24 + 5*j**3/3 + j**2. Factor b(n).
-5*(n - 2)*(n + 1)
Let r be 3*12/90 + (-2)/8. Let s(d) be the second derivative of -3/2*d**2 + 1/2*d**3 - r*d**5 + 1/4*d**4 + 3*d + 0. Factor s(n).
-3*(n - 1)**2*(n + 1)
Let p(y) be the third derivative of -y**5/20 - y**4/4 + y**3/2 + 7*y**2. Let d(h) = -3*h**2 - 6*h + 2. Let n(m) = -3*d(m) + 2*p(m). Solve n(t) = 0 for t.
-2, 0
Let p(o) be the second derivative of 3/2*o**2 + 0 - o**3 + 6*o + 1/4*o**4. Let p(v) = 0. What is v?
1
Let v be (-1)/(-4) + 3/(-12). Let p be -2 + ((-36)/24)/((-6)/10). Let -p*j**4 + v*j**3 + 1/2*j**2 + 0 - 1/4*j + 1/4*j**5 = 0. Calculate j.
-1, 0, 1
Let y(u) = 6*u**4 - 8*u**3 + 6*u**2 + 4*u - 8. Let g(p) = 1 - p**4 - p - 51*p**2 + p**3 + 51*p**2. Let d(f) = 8*g(f) + y(f). Find a, given that d(a) = 0.
-2, 0, 1
Let x(k) be the second derivative of -3*k**5/10 - 5*k**4/4 - 3*k**3/2 - 20*k - 1. Determine n so that x(n) = 0.
-3/2, -1, 0
Let w = 3 + 0. Let b(v) = 4*v**w - 3*v**3 - 2*v**3. Let l(g) = g**4 - g**3 + 3*g**2 - g. Let m(z) = -2*b(z) - l(z). Suppose m(k) = 0. Calculate k.
0, 1
Let t(k) = 2*k**3 - 6*k**2 + 12*k. Let h(o) = -o**2 + o. Let r(l) = 10*h(l) - t(l). Find x, given that r(x) = 0.
-1, 0
Let j(l) be the first derivative of -l**5/30 + l**3/3 + 2*l**2 - 3. Let b(t) be the second derivative of j(t). Factor b(s).
-2*(s - 1)*(s + 1)
Suppose -4/5 + 2/5*l**3 + 0*l**2 - 6/5*l = 0. Calculate l.
-1, 2
Let f(p) = 20*p**3 + 26*p**2 - 12*p - 17. Let m(x) = 7*x**3 + 9*x**2 - 4*x - 6. Let o(b) = 6*f(b) - 17*m(b). Determine c so that o(c) = 0.
-4, 0, 1
Solve -9/7 + 6/7*c - 1/7*c**2 = 0 for c.
3
Let p(t) = t**3 - 7*t**2 + 7*t - 3. Let z be p(6). Let x(r) be the first derivative of -2 - 1/22*r**4 - 2/33*r**z + 0*r + 0*r**2. Factor x(c).
-2*c**2*(c + 1)/11
Let k(z) = 3*z**4 + 4*z**3 + 5*z**2 + 6. Let t(q) = -q**3 - q**2 - 1. Let m(s) = 5*k(s) + 30*t(s). Suppose m(d) = 0. Calculate d.
-1/3, 0, 1
Let k be 4 + 0 - (-133)/(-38). Let w(f) be the first derivative of k*f**4 + 0*f + 1/5*f**5 + 1 + 1/3*f**3 + 0*f**2. Determine v, given that w(v) = 0.
-1, 0
Let y = 14 + -12. Suppose -1 - 10*z**y + 12*z**2 - 3 - 2*z = 0. Calculate z.
-1, 2
Let g = -33 + 233/7. Let u be ((-10)/4 - -2)*-4. Solve -2/7*o**u + 4/7*o - g = 0.
1
Let a(s) be the third derivative of s**7/315 + 7*s**6/180 + s**5/6 + 13*s**4/36 + 4*s**3/9 - 13*s**2. Factor a(g).
2*(g + 1)**3*(g + 4)/3
Let i = 587/9255 - -2/617. Let c(d) be the second derivative of i*d**3 - d - 1/60*d**4 - 1/10*d**2 + 0. Factor c(s).
-(s - 1)**2/5
Let v(a) be the first derivative of -3*a**2 - 2*a**2 + 3*a + 6*a**2 + 2*a**2 - 1 - 3*a**3. Factor v(q).
-3*(q - 1)*(3*q + 1)
Let f(g) be the first derivative of -3/7*g**4 - 1/7*g**2 - 2 + 1/7*g**5 + 0*g + 3/7*g**3. Solve f(s) = 0.
0, 2/5, 1
Let s(p) be the first derivative of 4*p**5/5 + 2*p**4 - 4*p**3/3 - 4*p**2 + 41. Let s(v) = 0. Calculate v.
-2, -1, 0, 1
Let o(g) be the second derivative of -g**5/5 - 4*g**4/3 - 10*g**3/3 - 4*g**2 - 3*g. Let o(n) = 0. Calculate n.
-2, -1
Let y = 49 + -97/2. Let c(i) be the second derivative of -1/12*i**3 + 0 - 1/24*i**4 - 3*i + y*i**2. Determine v so that c(v) = 0.
-2, 1
Let g be 1/((-4)/(-3376)*10). Let l = g + -2864/35. Let -8/7 + 0*f + l*f**2 = 0. Calculate f.
-2/3, 2/3
Let f(m) be the third derivative of 3*m**8/112 + 2*m**7/7 + 51*m**6/40 + 31*m**5/10 + 9*m**4/2 + 4*m**3 - 49*m**2. Solve f(v) = 0.
-2, -1, -2/3
Let x = -92 + 832/9. Let v = 8 - 6. Factor 26/9*a**v + 0 - 6*a**3 - x*a - 14/9*a**5 + 46/9*a**4.
-2*a*(a - 1)**3*(7*a - 2)/9
Suppose p - 30 = -p. Let a be (6/p)/((-1)/(-10)). Determine b, given that -3*b - 2*b**2 + 3 - 6*b**3 + b**5 + 3*b**4 + 8*b**3 - a = 0.
-1, 1
Let j(f) be the third derivative of 1/105*f**7 + 0 - 1/30*f**6 + 0*f**4 + 1/30*f**5 + 0*f**3 + 0*f + 5*f**2. Determine l, given that j(l) = 0.
0, 1
Let h be 7 - (-4)/(0 - 4). Find u, given that -8*u - 5*u**2 + u**2 + 2*u**3 - 2 + h*u**4 + 0 + 6*u**3 = 0.
-1, -1/3, 1
Suppose 5*a = -4*s + 5, 0 = -2*s - a + 7. Suppose -5*f - 3*z + 16 = -6*z, 2*z = -s*f + 6. Suppose 7*o**2 + 1 + 6*o**f - 8*o + 3*o**2 = 0. What is o?
1/4
Let z be (-14)/(-21) + (-10)/56. Let c = z - -1/12. Find f such that 2/7*f - c + 2/7*f**2 = 0.
-2, 1
Let 