ve a(y) = 0.
0, 1
Suppose u - 1 - 3 = 0. Suppose 5 = -l - 4*t, -2*l - 2*t - 1 + 3 = 0. Factor -3*x**2 + u*x**l + 6*x**4 - 3*x**5 - 13*x**3 - 15*x**4.
-3*x**2*(x + 1)**3
Let c(q) = 15*q**2 + 36*q - 42. Let b(w) = -w**2 - w + 1. Let p(h) = -18*b(h) - c(h). Find j such that p(j) = 0.
2, 4
Suppose b - 5 = h + 2*h, 4*h - 41 = -3*b. Suppose 10*c = b*c. Factor 2/7*m + c + 2/7*m**2.
2*m*(m + 1)/7
Let t(n) = n**2 - 14*n - 30. Let o be t(16). Let g = 0 + 2. Factor 3*l**o + 9*l - 8*l**2 + l**g - 2.
-(l - 2)*(4*l - 1)
Let j(h) be the first derivative of h**6/15 - h**5/5 + 2*h**3/3 - h**2 + 3*h + 4. Let z(w) be the first derivative of j(w). Suppose z(y) = 0. What is y?
-1, 1
Let d(r) be the first derivative of -r**6/33 - 2*r**5/55 - 3. Factor d(n).
-2*n**4*(n + 1)/11
Let t(v) be the second derivative of -5*v**4/12 - 25*v**3/6 - 10*v**2 + 8*v. Factor t(z).
-5*(z + 1)*(z + 4)
Let d(c) be the first derivative of c**6/9 + 2*c**5/5 + c**4/3 - 10. Factor d(f).
2*f**3*(f + 1)*(f + 2)/3
Let a(u) = -2*u + 3. Let d be a(-3). Let c(x) = x**2 - 9*x. Let s be c(d). Solve -f + s*f**3 + f**3 + 3*f**4 + f**2 - 2*f**2 - 2*f**4 = 0 for f.
-1, 0, 1
Suppose 4*m = -a + 16, 5*m = -3*a - 0 + 13. Let q be a/35*(-105)/30. Let 2/5*b**3 - 2/5*b + 0 + 2/5*b**2 - q*b**4 = 0. Calculate b.
-1, 0, 1
Determine a so that 4*a**2 + 2*a**2 - 5*a**2 + 3*a = 0.
-3, 0
Let q(h) be the third derivative of h**7/385 + h**6/330 - h**5/330 + 7*h**2. Factor q(b).
2*b**2*(b + 1)*(3*b - 1)/11
Let f be (3 - -3) + -4*(-3)/(-3). Find b, given that 0 + 2/7*b**5 - 4/7*b**4 - 2/7*b + 4/7*b**f + 0*b**3 = 0.
-1, 0, 1
Factor -2*f**2 - 45 + 7*f + f**2 - 37*f - 4*f**2.
-5*(f + 3)**2
Let n be (-663)/68*(-4)/3. Let y = n - 11. Suppose -18/7 - 2/7*g**y + 12/7*g = 0. What is g?
3
Suppose -2 = -g - 2*q + 3*q, 0 = 4*g + 2*q - 8. Let z(u) be the second derivative of 1/6*u**4 + 0*u**2 + 1/3*u**3 + g*u + 0. Factor z(j).
2*j*(j + 1)
Let u be (10/(-6))/5*-1. Let x = -2 - -8/3. Let -x*m - 1/3 - u*m**2 = 0. What is m?
-1
Let n(m) = -m + 3. Let o be n(1). Let x be 1 - (-3)/6*o. Factor 0 + 0*g - 1/5*g**4 + 4/5*g**3 - 4/5*g**x.
-g**2*(g - 2)**2/5
Let h(d) = -d**3 + d**2 + 3*d + 1. Let m be h(-2). Suppose 3*j - m + 1 = 0. Factor 3 - 3*p**j + p**2 + p**2 + p - 1.
-(p - 2)*(p + 1)
Let l = -3/1420 - -89/8520. Let v(y) be the third derivative of -1/30*y**5 + 0*y**3 + 2*y**2 + 0*y + 1/24*y**4 + 0 + l*y**6. Determine d so that v(d) = 0.
0, 1
Suppose 0 = 4*g - 2*g - 5*r - 14, -4*g + 10 = -r. Let m(i) be the first derivative of 8/5*i**5 + 7*i**2 - 2 + g*i + 10*i**3 + 13/2*i**4. Solve m(p) = 0.
-1, -1/4
Let k(t) = 8*t**5 - 7*t**4 - 10*t**3 - 16*t**2 - 7*t + 5. Let f(r) = r**5 + r**3 + r**2 + r + 1. Let g(u) = 36*f(u) - 4*k(u). Factor g(x).
4*(x + 1)**3*(x + 2)**2
Let i(r) be the second derivative of -r**4/3 + 4*r**3/3 + 10*r. Let i(n) = 0. What is n?
0, 2
Let n(g) = g**3 - 7*g**2 + 7*g - 6. Let w(s) = -s**3 - 8*s**2 + 8*s - 3. Let b be w(-9). Let c be n(b). Factor 0*m + 0 + c*m**2 - 2/3*m**3 + 2/3*m**4.
2*m**3*(m - 1)/3
Suppose 0 + 2/13*v**3 - 10/13*v**2 + 6/13*v + 2/13*v**4 = 0. Calculate v.
-3, 0, 1
Let r(l) be the third derivative of 3*l**2 + 0 + 3/80*l**5 + 11/480*l**6 + 1/210*l**7 + 0*l - 1/24*l**3 + 1/96*l**4. Solve r(o) = 0 for o.
-1, 1/4
Let s(w) be the second derivative of 5*w**7/18 - 59*w**6/90 + 7*w**5/15 - w**4/9 + 20*w. Solve s(i) = 0.
0, 2/7, 2/5, 1
Let k be 0/(3/(12/(-4))). Suppose -2*q + k = -10. Factor -2/5*h**4 + 0 + 0*h**3 + 0*h**2 + 2/5*h**q + 0*h.
2*h**4*(h - 1)/5
Let b = -2 - -2. Let x be b/((-8)/4)*-1. Let -2/5*c**3 + 2/5*c + x + 0*c**2 = 0. What is c?
-1, 0, 1
Let i be (4/2 - 1) + 0. Let f(p) = 4*p - 5*p - p**2 + 2 - i. Let m(h) = -10*h**2 - 10*h + 9. Let s(c) = -18*f(c) + 2*m(c). Factor s(v).
-2*v*(v + 1)
Let 1 - 2*u**2 - 6*u**2 + 6*u**2 + 2*u + 3*u**2 = 0. What is u?
-1
Let k be (22/(-4))/((-21)/(-182)). Let b = k - -48. Find z, given that 1/3 + b*z**2 + 2/3*z = 0.
-1
Let i be -6*(-5)/60 + (-3)/(-26). Suppose 3*v = -4*d - 3, -4*v - 2*d = -7*d - 27. Factor 50/13*a**v + 40/13*a**2 + i*a + 0.
2*a*(5*a + 2)**2/13
Let h = 32 + -22. Suppose 14 - h = 2*j. Factor 162/5*v**j + 8/5 - 72/5*v.
2*(9*v - 2)**2/5
Let k = 4 - 1. Let y(b) be the second derivative of 0 + 0*b**k - 1/3*b**4 - 2*b + 0*b**2 + 1/10*b**5. Suppose y(t) = 0. What is t?
0, 2
Let x(d) = d + 1. Let z be 1/(-3 + 1)*-2. Let i be x(z). Factor 30*c**i + 6 - 4 + 22*c + 2.
2*(3*c + 1)*(5*c + 2)
Let b(i) be the first derivative of i**4/4 + i**3 + i**2/2 + i + 3. Let c be b(-2). Factor 14*v + c*v**2 - 10*v - v**2.
2*v*(v + 2)
Suppose -28 + 4 = 4*x. Let f = x - -10. Factor -1/3*k**3 + 0*k + 0*k**2 - 1/3*k**f + 0.
-k**3*(k + 1)/3
Let u(f) = -25*f**3 + 14*f**2 - f. Let k(s) = -350*s**3 + 195*s**2 - 15*s. Let r(a) = -6*k(a) + 85*u(a). Solve r(b) = 0.
-1/5, 0, 1
Determine p so that 2/3 - 2/3*p**2 + 0*p = 0.
-1, 1
Let w(h) be the first derivative of -h**6/2 - 6*h**5/5 + 9*h**4/4 - 44. Factor w(l).
-3*l**3*(l - 1)*(l + 3)
Suppose 5*n = 2*n + 6. Factor -15/2*c + 3/2*c**n + 9/2 + 3/2*c**3.
3*(c - 1)**2*(c + 3)/2
Let y(h) be the second derivative of -1/8*h**3 + 1/48*h**4 + 1/4*h**2 + 2*h + 0. Let y(n) = 0. What is n?
1, 2
Let c(b) be the first derivative of -b**6/18 - 2*b**5/15 - b**4/12 + 5. Factor c(k).
-k**3*(k + 1)**2/3
Let b be 2 + -3*(-6)/9. Suppose 0 = b*f - 26 + 10. Factor -3/2*i**f + 0 + 0*i + 1/2*i**5 + 3/2*i**3 - 1/2*i**2.
i**2*(i - 1)**3/2
Suppose 0 = -c + 5*c - 2*i + 4322, -3*i + 2155 = -2*c. Let y = -7558/7 - c. Let -108/7*z**2 - 8/7*z**4 + 50/7*z**3 + 88/7*z - y = 0. What is z?
1/4, 2
Determine d, given that -99*d**3 + 12*d - 3*d**2 - 6*d**2 - d**2 + 97*d**3 = 0.
-6, 0, 1
Let h(l) be the first derivative of 5*l**6/9 + 34*l**5/15 + 7*l**4/2 + 22*l**3/9 + 2*l**2/3 + 4. Let h(b) = 0. Calculate b.
-1, -2/5, 0
Let l(d) be the third derivative of d**11/1496880 - d**9/272160 + d**5/30 + 2*d**2. Let s(k) be the third derivative of l(k). Factor s(o).
2*o**3*(o - 1)*(o + 1)/9
Suppose 3*o - 7 = -4*t, 3*o - 8*o - 4*t = -9. Determine w, given that 11/2*w**2 - o - 1/2*w + 3/2*w**4 - 11/2*w**3 = 0.
-1/3, 1, 2
Let i = -9962/27 + 369. Let n = 61/189 - i. Let 0*u - 2/7 + n*u**2 = 0. What is u?
-1, 1
Let j(s) = s**5 - 7*s**4 + 5*s**3 + 4*s**2 + 3. Let f(n) = 6*n**4 - 4*n**3 - 4*n**2 - 2. Let k(v) = 6*f(v) + 4*j(v). Determine o so that k(o) = 0.
-2, -1, 0, 1
Let m(r) be the first derivative of r**7/420 - r**5/60 - 5*r**3/3 + 5. Let q(p) be the third derivative of m(p). Suppose q(w) = 0. What is w?
-1, 0, 1
Suppose 0 - 9/4*k**4 - 6*k**3 - 21/4*k**2 - 3/2*k = 0. Calculate k.
-1, -2/3, 0
Let l(s) be the third derivative of -s**6/210 + s**5/15 - s**4/7 - s**2 + 2. Determine z, given that l(z) = 0.
0, 1, 6
Let g(d) be the first derivative of -d**6/60 + d**4/40 - 15. Factor g(y).
-y**3*(y - 1)*(y + 1)/10
Let s be (-3)/(-2)*6/3. Let n(a) = 5*a**2 + 3. Let c(k) = 1 + 6*k**2 + 3*k**2 + 4. Let w(y) = s*c(y) - 5*n(y). What is v in w(v) = 0?
0
Let n = -2/149 - -916/1639. Suppose n*r + 2/11*r**2 + 4/11 = 0. What is r?
-2, -1
Let j(w) be the first derivative of -w**5/5 - w**4/4 + w**3/3 + w**2/2 - 11. Solve j(y) = 0 for y.
-1, 0, 1
Let g(y) = -y**2 - 8*y - 7. Let z = -17 + 10. Let c be g(z). Factor -b**2 + c*b**2 + b**3 + 5*b + 2 + 5*b**2.
(b + 1)**2*(b + 2)
Suppose 0*v**4 + 0 + 8/7*v**3 - 4/7*v**5 - 4/7*v + 0*v**2 = 0. Calculate v.
-1, 0, 1
Let y(r) = 9*r**3 + 2*r**2 - 4*r + 7. Let z(h) = -8*h**3 - 2*h**2 + 4*h - 6. Let u(m) = -6*y(m) - 7*z(m). Factor u(v).
2*v*(v - 1)*(v + 2)
Let y(n) = -n + 0*n**4 + n**3 - 4*n**2 - n**4 + 3*n**2. Let d(h) = 5*h**4 - 5*h**3 + 3*h**2 + 5*h. Let o(i) = -d(i) - 4*y(i). Factor o(j).
-j*(j - 1)**2*(j + 1)
Let m(p) be the first derivative of -3*p**5/10 - 3*p**4/8 + p**3/2 + 3*p**2/4 + 15. Factor m(r).
-3*r*(r - 1)*(r + 1)**2/2
Let q(j) = 4*j - 2. Let s be q(2). Let m be (-2)/3 - (-4)/s. Factor m*n**2 + 0 - 1/4*n + 1/4*n**3.
n*(n - 1)*(n + 1)/4
Let b = 1380/1837 - 4/167. Solve -6/11*h**4 - 28/11*h**3 + 8/11 - 38/11*h**2 - b*h = 0.
-2, -1, 1/3
Factor 0 - 1/2*a**4 + 1/2*a + 3/2*a**3 - 3/2*a**2.
-a*(a - 1)**3/2
Let r(q) be the first derivative of 4/13*q - 2 - 2/39*q**3 - 1/13*q**2. Factor r(g).
-2*(g - 1)*(g + 2)/13
Let a(g) be the first derivative of 5*g**8/1176 + g**7/105 + g**6/210 - 3*g**2/2 + 4. Let q(r) be the second derivative of a(r). Factor q(b).
2*b**3*(b 