s - s + v*s**2 + 3*s - 2 - 3*s.
2*(3*s - 1)*(5*s + 1)
Let 0 + 3/2*g**3 + 0*g + 3/8*g**5 + 0*g**2 + 3/2*g**4 = 0. What is g?
-2, 0
Let a be 7360/48*(-6)/(-25). Let w = -36 + a. Solve -2/5*v**3 - w*v**4 + 2/5*v**5 + 0 + 4/5*v**2 + 0*v = 0 for v.
-1, 0, 1, 2
Let x(y) be the first derivative of 2*y**3/5 + 36*y**2/5 + 216*y/5 - 43. Find h, given that x(h) = 0.
-6
Find s such that 7/3*s - 1/3*s**2 - 2 = 0.
1, 6
Let n(t) be the first derivative of 0*t + t**4 + 0*t**2 + 2/3*t**3 + 3 + 2/5*t**5. Determine y, given that n(y) = 0.
-1, 0
Let x = 8 - 8. Let o = 3 - 1. Factor -1/4*z**4 + x*z + 0*z**3 + 0*z**o + 0.
-z**4/4
Let i(y) be the first derivative of 0*y + 3/2*y**4 + 3*y**2 + 5*y**3 + 3. Factor i(q).
3*q*(q + 2)*(2*q + 1)
What is c in -9/5*c**2 + 1/5 - 3/5*c + 23/5*c**3 - 12/5*c**4 = 0?
-1/3, 1/4, 1
Suppose -83*x**3 + x - 10*x + 86*x**3 + 6 = 0. Calculate x.
-2, 1
Solve -20/9*g - 14/9*g**2 - 2/9*g**3 + 0 = 0.
-5, -2, 0
Let h(j) be the second derivative of -1/12*j**4 + 0*j**2 - 3*j - 1/6*j**3 + 0 + 1/10*j**5. Determine x, given that h(x) = 0.
-1/2, 0, 1
Let i(a) = -a**2 - 13*a - 12. Suppose -4*k - k - 3*m = 52, -5*m - 17 = 2*k. Let l be i(k). Factor -1/2 - l*o**2 + 15/4*o - 15/2*o**4 + 25/2*o**3 + 7/4*o**5.
(o - 1)**4*(7*o - 2)/4
Let h(o) = 4*o**2 + 5. Suppose -4*w + 7*w - 11 = -4*f, -4*f + 14 = 2*w. Let t(l) = -6*l**2 - 7. Let s(n) = f*t(n) + 7*h(n). Factor s(u).
-2*u**2
Let b(z) be the second derivative of -1/5*z**5 + 4*z + 3/2*z**3 - z**2 - 5/6*z**4 - 5/42*z**7 + 0 + 2/5*z**6. Let b(a) = 0. Calculate a.
-1, 2/5, 1
Let v(n) be the first derivative of 4*n**2 - 14/3*n**3 + 3 - 8/7*n. Factor v(y).
-2*(7*y - 2)**2/7
Let k = 1 - -3. Suppose 20 = k*c - 0*c. Solve -6*u**c + 26/5*u**3 - 16/5*u**2 + 28/5*u**4 - 8/5*u + 0 = 0.
-2/3, -2/5, 0, 1
Suppose 0 = -9*s + 26*s. Determine z, given that -1/3*z**4 + s*z**2 + 0*z**3 + 0 + 0*z = 0.
0
Let u(y) be the first derivative of -y**6/3 + 8*y**5/5 - 3*y**4/2 - 8*y**3/3 + 4*y**2 - 23. Determine b so that u(b) = 0.
-1, 0, 1, 2
Let g(b) = 11*b**3 + 2*b**2 + 5. Let h(r) = 17*r**3 + 3*r**2 + 8. Let p(t) = -8*g(t) + 5*h(t). Solve p(j) = 0 for j.
-1/3, 0
Let h(g) be the first derivative of 1/3*g**3 - 2*g**2 + 4*g - 3. Solve h(f) = 0.
2
Let 3/5*y + 3/5*y**4 + 0 + 9/5*y**3 + 9/5*y**2 = 0. What is y?
-1, 0
Let c(m) be the third derivative of -m**6/840 + m**5/420 + m**4/84 + 6*m**2. Determine t so that c(t) = 0.
-1, 0, 2
Suppose -10 = 5*j - 10*j. Factor 4/3 + 2*a + 2/3*a**j.
2*(a + 1)*(a + 2)/3
Suppose -5*o - 2*b = -26, -3*o + b = 2*o - 17. Factor j**2 - 5 + 0*j**o + 5 - j**4.
-j**2*(j - 1)*(j + 1)
Suppose p = 2*q + 1, 0 = 5*q - 3*q - 4. Let h = p - 0. Find f, given that -5*f**3 - 2*f**3 + h*f**3 + 2*f**4 = 0.
0, 1
Let c(p) be the third derivative of 1/6*p**3 + 0 - 1/24*p**4 + 0*p + 1/120*p**6 + 4*p**2 - 1/60*p**5. Factor c(w).
(w - 1)**2*(w + 1)
Let a(k) be the third derivative of -1/54*k**4 + 1/135*k**6 - 7/270*k**5 + 0*k**3 + k**2 + 0*k + 0. Determine b, given that a(b) = 0.
-1/4, 0, 2
Let f be 6/(-4)*10/15. Let y(c) = c**4 - c**3 + 1. Let n(g) = 5*g**4 - 14*g**3 + 15*g**2 - 6*g + 2. Let h(m) = f*n(m) + 2*y(m). Suppose h(i) = 0. What is i?
0, 1, 2
Let o(z) = -z + 1. Let k(l) = 4*l - 10. Let v(x) = -k(x) - 3*o(x). Let n be v(4). Determine j so that -4/9*j + 2/3*j**n + 0 + 2/9*j**2 = 0.
-1, 0, 2/3
Suppose 0 = -18*i + 20*i - 4. Factor 1/4*b - 1/2*b**i + 0 + 1/4*b**3.
b*(b - 1)**2/4
Let m be ((-24)/30)/((-2)/(-85)). Let s = -98/3 - m. Factor -6*y - s - 6*y**2.
-2*(3*y + 1)*(3*y + 2)/3
Let p(o) be the first derivative of o**5/5 + o**4/2 - o**3 - 3*o + 1. Let n(j) = j**4 + j**3 - 2*j**2 - 2. Let x(z) = 6*n(z) - 4*p(z). Let x(g) = 0. What is g?
0, 1
Let t(q) = q**4 - 21*q**3 + 55*q**2 - 45*q + 13. Let m(o) = -o**4 + o**3 + o**2 + o - 1. Let f(y) = -3*m(y) + t(y). Determine r, given that f(r) = 0.
1, 2
Let g(i) be the second derivative of -1/8*i**5 + 0 + 0*i**2 - 3/20*i**6 + 3/8*i**4 + 7*i + 1/12*i**7 - 1/6*i**3. Find d such that g(d) = 0.
-1, 0, 2/7, 1
Let d(h) be the second derivative of -h**7/210 + h**5/10 - h**4/3 - 11*h**3/6 + 9*h. Let x(u) be the second derivative of d(u). Solve x(q) = 0.
-2, 1
Suppose 8 = 2*b - a, b = -2*b - 3*a - 6. Let h = 1 + b. Suppose h*r**4 + 9*r**5 - 5*r**3 + 1 + r**2 - 1 = 0. What is r?
-1, 0, 1/3
Let t(u) be the second derivative of -3*u**6/20 + 3*u**5/40 + u**4/3 - u**3/3 + 4*u. Determine d so that t(d) = 0.
-1, 0, 2/3
Let c(z) = 8*z**2 + 6*z - 24. Let n(d) = -d**2 + d + 1. Let b(r) = c(r) + 10*n(r). Factor b(g).
-2*(g - 7)*(g - 1)
Let a(r) = -30*r**3 - 50*r**2 - 12*r + 10. Let s(v) = -61*v**3 - 101*v**2 - 24*v + 21. Let p(d) = 5*a(d) - 2*s(d). Factor p(q).
-4*(q + 1)**2*(7*q - 2)
Let y(s) be the first derivative of -3*s**4/16 + 3*s**3/4 - 9*s**2/8 + 3*s/4 + 2. Let y(w) = 0. Calculate w.
1
Factor -15*b**3 + 5*b**5 + 55*b**2 + 43 - 43 - 14*b**4 - b**4 - 30*b.
5*b*(b - 3)*(b - 1)**2*(b + 2)
Let y be 1/(-3)*(2 + -11). Suppose -y*k - 6 = -18. Suppose -2/9*r**k + 4/9*r - 4/9*r**3 + 0*r**2 + 2/9 = 0. Calculate r.
-1, 1
Let s(a) be the first derivative of 46/27*a**3 - 8/9*a + 6 - 19/18*a**4 + 8/9*a**2 - 25/27*a**6 - 22/9*a**5. Factor s(f).
-2*(f + 1)**3*(5*f - 2)**2/9
Let a(h) be the first derivative of -4*h**5/45 - h**4/3 + 12. Suppose a(g) = 0. What is g?
-3, 0
Let r(l) be the second derivative of -3*l + 0 - 1/12*l**3 + 1/2*l**2 - 1/24*l**4. Determine b so that r(b) = 0.
-2, 1
Let d = 427/862 - -2/431. Factor 1/2*s**2 + 0 + d*s.
s*(s + 1)/2
Let l(k) be the first derivative of k**8/5040 - k**7/1260 + k**5/180 - k**4/72 - 8*k**3/3 - 2. Let a(v) be the third derivative of l(v). Factor a(p).
(p - 1)**3*(p + 1)/3
Let m(b) = b**3 + 3*b**2 - 3*b - 1. Let l(s) = 2*s**3 + 7*s**2 - 7*s - 2. Let i(w) = 6*l(w) - 13*m(w). Factor i(q).
-(q - 1)**3
Let k = 26 + -15. Suppose -3*t + k = -25. Factor -3 - 5*g**2 + 1 + t*g**2 + 5*g.
(g + 1)*(7*g - 2)
Determine b, given that -6*b**3 - 14/3*b**2 + 6*b + 6*b**4 - 4/3 = 0.
-1, 1/3, 2/3, 1
Let z(s) be the first derivative of -3 - 1/10*s**2 - 1/15*s**3 + 0*s. Solve z(n) = 0 for n.
-1, 0
Factor 3*p**5 - 102*p**3 + 40*p**3 + 44*p**3 - 9*p - 24*p**2.
3*p*(p - 3)*(p + 1)**3
Let b(u) be the third derivative of -u**7/420 - u**6/120 + u**5/40 + u**4/12 - u**3/3 - 4*u**2. Factor b(s).
-(s - 1)**2*(s + 2)**2/2
Suppose 1 = 15*x + 1. Determine k, given that 3/2*k**2 + x*k + 27/2*k**4 + 9*k**3 + 0 = 0.
-1/3, 0
Let p(z) = -z**3 - 10*z**2 + z + 13. Let u = -23 - -13. Let q be p(u). Factor 4*v**3 + 0*v**3 - 5*v**q - v**2.
-v**2*(v + 1)
Let a(w) be the third derivative of 1/14*w**3 + 1/42*w**4 + 1/420*w**5 + 0*w + w**2 + 0. Factor a(p).
(p + 1)*(p + 3)/7
Let u(p) = 35*p**3 - 60*p**2 - 20*p + 3. Let a(t) = -35*t**3 + 60*t**2 + 20*t - 4. Let v(h) = 3*a(h) + 4*u(h). Factor v(q).
5*q*(q - 2)*(7*q + 2)
Let b(f) be the second derivative of -f**5/5 + 2*f**3/3 + 3*f. Factor b(v).
-4*v*(v - 1)*(v + 1)
Solve 10*l**2 - 40*l**5 - 25*l**4 - 32*l**5 - 5*l**3 + 62*l**5 = 0 for l.
-2, -1, 0, 1/2
Let -1/7*d - 1/7*d**5 + 0 + 0*d**2 + 0*d**4 + 2/7*d**3 = 0. What is d?
-1, 0, 1
Let q(c) be the second derivative of -c**6/1620 + c**5/540 - c**3/3 + 3*c. Let n(l) be the second derivative of q(l). Suppose n(t) = 0. What is t?
0, 1
Let j(k) = k**2 + k + 1. Let i(u) = -u**3 + 3*u**2 + 6*u + 7. Let x(t) = -i(t) + 5*j(t). Factor x(d).
(d - 1)*(d + 1)*(d + 2)
Factor -1/5 - 1/2*u**2 + 7/10*u.
-(u - 1)*(5*u - 2)/10
Factor 10/7*b**2 + 0 - 4/7*b.
2*b*(5*b - 2)/7
Let y(f) be the second derivative of -f**7/42 + 3*f**5/20 + f**4/6 + 9*f. Factor y(o).
-o**2*(o - 2)*(o + 1)**2
Determine r so that 0 + 3/7*r**4 + 0*r**2 + 0*r + 3/7*r**3 = 0.
-1, 0
Let w = 84 + -81. Factor 1/3 - 1/3*b**w - b + b**2.
-(b - 1)**3/3
Let d be (1/3)/((-2)/(-12)). Suppose 6 = -2*t + 2, d*t = -5*g + 6. Factor -z - 4*z - 4*z**g + z**2 - z**3 - 1 + 2*z.
-(z + 1)**3
Let v = 613/518 - 3/74. Factor 4/7 - 12/7*m + v*m**2 + 8/7*m**3 + 4/7*m**5 - 12/7*m**4.
4*(m - 1)**4*(m + 1)/7
Let v = 411 + -1232/3. Factor 0*i + v*i**3 + 0*i**2 + 0 + 1/3*i**4.
i**3*(i + 1)/3
Let l = 18586/45 - 413. Let o(n) be the third derivative of -4*n**2 + 0*n - l*n**5 - 1/72*n**4 + 0 - 1/120*n**6 + 0*n**3. Factor o(i).
-i*(i + 1)*(3*i + 1)/3
Let m be 2 + 56/20 + 4/(-1). Factor -m*q + 1/5*q**2 + 4/5.
(q - 2)**2/5
Let g = 36 - 36. Let i(w) be the second derivative of -3/10*w**5 - 4/21*w**3