culate x.
0, 1/4
Suppose -68 = -8*y - 44. Factor -1/2*j**2 - 1/2*j**y + 1/2*j**4 + 1/2*j**5 + 0*j + 0.
j**2*(j - 1)*(j + 1)**2/2
Find p such that 3/5*p**2 - 1/5*p + 0 + 1/5*p**3 - 3/5*p**4 = 0.
-1, 0, 1/3, 1
Factor -2/7*k + 6/7*k**2 + 0.
2*k*(3*k - 1)/7
Let n(p) be the second derivative of p**4/18 - p**3/9 - 2*p**2/3 - 7*p. Factor n(x).
2*(x - 2)*(x + 1)/3
Let z(w) = 1. Let x(d) = d**2 - d - 5. Suppose 4 = -q + 7. Let i(n) = q*x(n) + 15*z(n). Suppose i(p) = 0. What is p?
0, 1
Let f(m) = m**3 + m**2 - 1. Let o be f(-1). Let j(v) = -v**3 + v**2 + v. Let g(k) = -k**3 + k**2 + 3*k. Let q(i) = o*g(i) + 3*j(i). Factor q(h).
-2*h**2*(h - 1)
Let b(y) be the third derivative of -5*y**8/336 - 2*y**7/21 - y**6/6 + y**5/6 + 25*y**4/24 + 5*y**3/3 - 6*y**2. Solve b(u) = 0.
-2, -1, 1
Let x(t) be the third derivative of 1/3*t**3 + 1/24*t**4 + 0*t - 1/30*t**5 - 1/120*t**6 - 3*t**2 + 0. Determine p, given that x(p) = 0.
-2, -1, 1
Let x = 3 - 3. Find r, given that 12*r - 3*r**3 - 24 - r**2 + x*r**2 + 7*r**2 = 0.
-2, 2
Factor -4/11*o - 2/11*o**2 + 0.
-2*o*(o + 2)/11
Let t be (-20)/70 + (-74)/(-63). Factor 2/9*d**3 - t + 16/9*d - 10/9*d**2.
2*(d - 2)**2*(d - 1)/9
Let t(q) = -8*q**2 + q - 1. Let k be t(2). Let u = -10 - k. Determine l so that 15*l**5 + l**3 + 4*l**2 - u*l**3 + 11*l**4 + 20*l**5 = 0.
-1, 0, 2/7, 2/5
Let v = 27/20 - 237/20. Let s = v - -11. Determine z, given that -1/2*z**2 - 1/2*z**3 + 1/2*z**5 + 0 + s*z**4 + 0*z = 0.
-1, 0, 1
Let u be (-2)/(-11) + 60/1485. Suppose 2/9*h - u*h**2 + 0 = 0. Calculate h.
0, 1
Let h(t) be the first derivative of 2*t**3/3 - 2*t**2 + 5. Factor h(m).
2*m*(m - 2)
Let b(p) be the first derivative of -24*p**5/5 + p**4/2 + 26*p**3/3 - p**2 - 2*p - 4. Let b(g) = 0. What is g?
-1, -1/4, 1/3, 1
Let x(m) be the second derivative of m**4/15 + 2*m**3/3 - 12*m. Solve x(i) = 0 for i.
-5, 0
Let g(d) be the second derivative of d**6/135 + d**5/18 + d**4/6 + 7*d**3/27 + 2*d**2/9 - 10*d. Solve g(c) = 0.
-2, -1
Let k = -209/208 + 40/39. Let x(n) be the second derivative of 1/8*n**2 - 1/12*n**3 + k*n**4 + 0 - 2*n. Find o, given that x(o) = 0.
1
Suppose 4/7*u**3 + 0 - 12/7*u - 8/7*u**2 = 0. Calculate u.
-1, 0, 3
Let g(z) = 2*z + 31. Let m be g(-13). Let r(p) be the first derivative of -4/15*p**m + 1/3*p - p**3 + 1/6*p**2 - 1 + 11/12*p**4. Factor r(k).
-(k - 1)**3*(4*k + 1)/3
Let p(m) be the third derivative of -m**5/45 - 5*m**4/18 - 7*m**2. Suppose p(a) = 0. What is a?
-5, 0
Let l be 132/(-55)*(-5)/2. Factor -9*r**2 - l*r - 5*r**2 + 4 + 16*r**2.
2*(r - 2)*(r - 1)
Let x(q) = 5*q**2 + 6*q - 5. Let a(o) = -14*o**2 - 18*o + 16. Let r(j) = 3*a(j) + 8*x(j). Factor r(h).
-2*(h - 1)*(h + 4)
Let v(g) be the first derivative of -2*g**5/45 - 5*g**4/18 - 4*g**3/9 - 39. Solve v(d) = 0 for d.
-3, -2, 0
Let l(g) = -g**2. Let x(k) = 5*k - 4. Let t(y) = -l(y) - x(y). Factor t(u).
(u - 4)*(u - 1)
Let t(h) be the second derivative of -1/30*h**6 + 0 + 0*h**2 - 6*h + 0*h**3 + 0*h**5 + 0*h**4. Determine y so that t(y) = 0.
0
Suppose -5*v - 64 = -74. Let u(x) be the first derivative of 1/4*x**v + 1/12*x**3 + 0*x + 2. Factor u(w).
w*(w + 2)/4
Suppose v = 3, -w - 19 = -4*v - 7. Let b(k) be the third derivative of 0 + w*k**3 - 1/240*k**6 + 2*k**2 + 1/120*k**5 + 0*k + 0*k**4. Solve b(f) = 0.
0, 1
Let o = 0 - -9. Let w be 22/14 - o/(-21). Factor 0*z + 2/7*z**w - 2/7*z**4 + 2/7*z**3 - 2/7*z**5 + 0.
-2*z**2*(z - 1)*(z + 1)**2/7
Let r(l) = -l**2 + 4*l. Let x(n) = 8*n**2 - 3*n**2 - 39*n + 4*n**2. Let o(u) = -21*r(u) - 2*x(u). Find q, given that o(q) = 0.
0, 2
Factor -24/17*l - 2/17*l**2 - 22/17.
-2*(l + 1)*(l + 11)/17
Let p(j) = -4*j**2 - 3*j - 2. Let x(q) = 5*q**2 + 3*q + 2. Let k(b) = -4*p(b) - 3*x(b). What is h in k(h) = 0?
-2, -1
Let m(x) = x**3 + 3*x**2 - 7*x - 6. Let j be m(-4). Let r(u) = u**2 + 9*u + 6. Let h be r(-9). Solve -5 - 3 + j*v - v**3 - 18*v - h*v**2 = 0 for v.
-2
Let x(w) be the second derivative of 0 + 1/18*w**4 + 2/3*w**3 - 3/2*w**2 - 1/90*w**6 - 5*w - 1/15*w**5. Determine k so that x(k) = 0.
-3, 1
Let y(z) be the first derivative of -z**4/2 - 2*z**3 - 3*z**2 - 2*z - 8. Factor y(m).
-2*(m + 1)**3
Let h(d) be the first derivative of 1/8*d**2 + 1/24*d**6 + 0*d + 3/8*d**4 + 4 + 1/3*d**3 + 1/5*d**5. Factor h(o).
o*(o + 1)**4/4
Let m = 13183/586 + 1/293. Let f = m - 22. Factor 0*h + f - 1/2*h**2.
-(h - 1)*(h + 1)/2
Let y(j) be the third derivative of 1/168*j**8 + 0*j + 0 + 0*j**4 + 0*j**6 + 1/60*j**5 + j**2 + 0*j**3 - 1/70*j**7. Factor y(k).
k**2*(k - 1)**2*(2*k + 1)
Let r = -4 + 6. Suppose -4 + 4 + y - 3*y + r*y**2 = 0. Calculate y.
0, 1
Find p such that -9*p**3 + 12*p**5 - 3*p + 0*p + 2 - 2 + 2 + 17*p**4 - 19*p**2 = 0.
-1, -2/3, 1/4, 1
Let c be 4*(28/(-12) - -2). Let p = c - -46/21. Determine y, given that -4/7*y - p*y**2 + 24/7*y**3 - 2*y**4 + 0 = 0.
-2/7, 0, 1
Let w(z) be the first derivative of 2*z**5/45 - 14*z**3/27 - 2*z**2/3 - 38. Solve w(j) = 0 for j.
-2, -1, 0, 3
Let j(r) = 1 - 6 - 1 + 3*r + 6*r**2 + r**3. Let s be j(-5). Let 2/3*f**3 + 0*f + 0 - 4/3*f**2 + 2/3*f**s = 0. Calculate f.
-2, 0, 1
Factor i**2 + i**3 - 10*i + i**4 - 2*i**4 + 9*i.
-i*(i - 1)**2*(i + 1)
Let m = -6 + 8. Suppose 5 = 3*v - m*q, v - 2*q - 10 = -3*v. Determine l so that 20/9*l**2 + 10/9*l**4 + 20/9*l**3 + 10/9*l + 2/9*l**v + 2/9 = 0.
-1
Let m(x) = -x + 7. Let c be m(6). Let q be c/5 + (1 - 0). Suppose 6/5*f**2 + q*f + 2/5*f**3 + 2/5 = 0. What is f?
-1
Factor 4/5*d**2 + 0*d - 2/5 - 2/5*d**4 + 0*d**3.
-2*(d - 1)**2*(d + 1)**2/5
Factor 12/5*d + 8/5 + 1/5*d**3 + 6/5*d**2.
(d + 2)**3/5
Factor 3*v + 9*v - 12*v**3 - 4*v**2 + v**4 + 3*v**4.
4*v*(v - 3)*(v - 1)*(v + 1)
Let w = -25 - -28. Let h(m) be the second derivative of -2*m - 1/12*m**w + 0*m**2 + 0 + 1/24*m**4. Solve h(b) = 0.
0, 1
Let q(g) be the third derivative of g**7/105 - g**5/15 + g**3/3 - 3*g**2. What is a in q(a) = 0?
-1, 1
Let x(b) = 7*b**3 - 27*b**2 + 65*b - 45. Let f(p) = 11*p**3 - 41*p**2 + 97*p - 67. Let w(c) = 5*f(c) - 8*x(c). Find j such that w(j) = 0.
1, 5
Let l(q) be the third derivative of 3*q**7/70 - q**6/10 - q**5/20 + q**4/4 + 6*q**2. Factor l(r).
3*r*(r - 1)**2*(3*r + 2)
Let b = 83 + -577/7. Let 2/7*d**2 + b + 6/7*d = 0. Calculate d.
-2, -1
Let h(z) be the first derivative of -3/8*z**4 + 3/4*z**2 - 1/2*z**3 + 2 + 0*z + 3/10*z**5. Factor h(c).
3*c*(c - 1)**2*(c + 1)/2
Let j(d) be the second derivative of d**6/10 + 9*d**5/10 + 13*d**4/4 + 6*d**3 + 6*d**2 - 3*d. What is k in j(k) = 0?
-2, -1
Let q(a) = -a**2 + 18*a - 33. Let r(v) = -v**2 + 16*v - 34. Let b(z) = -2*q(z) + 3*r(z). Factor b(s).
-(s - 6)**2
Let x(y) be the second derivative of 3*y**5/160 - 7*y**4/32 + 11*y**3/16 - 15*y**2/16 - 39*y. Find z, given that x(z) = 0.
1, 5
Find s, given that -52*s**3 + 16*s**2 - 91*s**4 + 36*s**4 + 41*s**4 = 0.
-4, 0, 2/7
Let f be -2*(75/6)/(-5). Let s be 140/225 + (-2)/f. Factor s - 2/9*g**3 - 2/3*g + 2/3*g**2.
-2*(g - 1)**3/9
Let k(i) = i**2 + 3*i + 2. Suppose 2*c = -3*c - 15. Let p be k(c). Factor u**3 + u - p*u**3 + 0*u**3.
-u*(u - 1)*(u + 1)
Let n be 18/15*(-30)/(-9). Let o be (-46)/(-10) - n/(-10). Factor 5*f**2 + f**2 + 2 - 3*f - o*f**2.
(f - 2)*(f - 1)
Factor 0 + 3/5*j - 3/5*j**2.
-3*j*(j - 1)/5
Let z(o) be the second derivative of o**4/20 - 6*o**2/5 - 4*o. What is v in z(v) = 0?
-2, 2
Let r(b) be the third derivative of -b**8/420 + b**7/525 + 8*b**2. Factor r(g).
-2*g**4*(2*g - 1)/5
Let j be (-750)/(-72) + 1/4. Determine x, given that j*x**2 + 2/3*x**5 + 4/3 + 4*x**4 + 28/3*x**3 + 6*x = 0.
-2, -1
Suppose 2*p - p + 23 = 0. Let o = 119/4 + p. Determine d so that -13/2*d**2 - 9/4*d + o*d**4 - 9/2*d**3 + 27/4*d**5 - 1/4 = 0.
-1, -1/3, 1
Let p(m) = m**3 - 3*m**2 + 2. Let b be p(3). Suppose 3*z = -3*y + 9, -z + b*z + 5*y - 7 = 0. Suppose -2/5*r**4 + 2/5*r**z + 0 + 0*r**3 + 0*r = 0. Calculate r.
-1, 0, 1
Let b(s) = s**2 - s - 3. Let i be b(3). Let y(w) be the first derivative of -124/3*w**i - 44*w**2 - 3 - 21/2*w**4 - 16*w. Determine h, given that y(h) = 0.
-2, -2/3, -2/7
Let d be 1/3*6/4. Let n = -4/89 + 97/178. Let n*i**2 + 0*i - d = 0. What is i?
-1, 1
Let n(t) be the third derivative of -t**7/280 + t**6/80 + t**5/80 - t**4/16 + 2*t**2. Factor n(q).
-3*q*(q - 2)*(q - 1)*(q + 1)/4
Factor -3/2*m**4 - 126*m - 147/2 + 18*m**3 - 33*m**2.
-3*(m - 7)**2*(m + 1)**2/2
Find q such that -5*q**2 - 3*q**2 + 3*q**2 - 56*q + 7