+ t = 0. What is a?
-1, 1
Let b = -7 + 17. Suppose -23 = -4*l - 7, 3*l - b = m. Factor -4*c - c + c - m - 6*c**2 - 4*c.
-2*(c + 1)*(3*c + 1)
Let o(w) be the second derivative of 2/9*w**3 + 5*w + 1/36*w**4 + 1/2*w**2 + 0. Factor o(x).
(x + 1)*(x + 3)/3
What is t in -1/4*t**2 - 1/2 - 3/4*t = 0?
-2, -1
Let a(f) be the second derivative of 3*f + 1/3*f**3 - 1/6*f**4 + 2*f**2 + 0. Factor a(j).
-2*(j - 2)*(j + 1)
Solve 1/2*x**2 + 1/8*x - 1/8*x**3 - 1/2 = 0.
-1, 1, 4
Let f = 903/20 + -191/4. Let o = -21/10 - f. Suppose 5/2*v + o + 2*v**2 = 0. What is v?
-1, -1/4
Let r(c) be the third derivative of 0 - 1/300*c**5 + 3*c**2 - 1/600*c**6 + 1/30*c**3 + 0*c + 1/120*c**4. Let r(t) = 0. What is t?
-1, 1
Suppose 0 = -2*a - 0*c - 2*c - 4, -5*a - 18 = c. Let k be (a/10)/((-1)/5). Factor -q**3 - 6*q - k*q**3 + 4 + 5*q**3.
2*(q - 1)**2*(q + 2)
Let b = 125/2 - 62. Factor 3/4*o**2 + 1/4*o**3 + 0 + b*o.
o*(o + 1)*(o + 2)/4
Let m = 834 + -830. Factor 0 + 2/9*c**3 - 1/9*c + 0*c**m + 0*c**2 - 1/9*c**5.
-c*(c - 1)**2*(c + 1)**2/9
Let x(a) be the second derivative of -a**4/42 + 10*a**3/21 - 25*a**2/7 - 12*a. Factor x(z).
-2*(z - 5)**2/7
Let d(l) be the second derivative of -l**6/90 + 4*l**5/15 - 2*l**4 + 72*l**2 - l + 9. Factor d(r).
-(r - 6)**3*(r + 2)/3
Let v(n) = -n**3 + 8*n**2 - 20*n + 162. Let t be v(8). Determine y so that 16/7*y**t - 32/7 - 62*y**4 + 160/7*y - 14*y**5 - 512/7*y**3 = 0.
-2, -1, 2/7
Let b = 552/25 - 28364/1425. Let o = -16/19 + b. Solve 0 + 0*z**2 + o*z**4 + 2*z**3 - 2/3*z = 0 for z.
-1, 0, 1/2
Let r(j) be the first derivative of j**6/9 + 2*j**5/5 + j**4/2 + 2*j**3/9 - 7. Factor r(u).
2*u**2*(u + 1)**3/3
Let t be (-24)/64*2 - (-41)/44. Factor -2/11*m**3 - 2/11*m**4 + 2/11*m**2 + 0 + 0*m + t*m**5.
2*m**2*(m - 1)**2*(m + 1)/11
Let m(u) be the third derivative of 13*u**6/50 + 9*u**5/25 - 3*u**4/40 - 2*u**3/5 - u**2 + 2*u. Suppose m(q) = 0. Calculate q.
-1/2, 4/13
Let j(p) = p**2 - 3*p - 4. Let r be j(3). Let w be r/(-18) - 185/(-180). Suppose -21/4*o**2 + 17/4*o**3 + 11/4*o - 1/2 - w*o**4 = 0. What is o?
2/5, 1
Find v such that -101*v**3 + 2*v**2 - v**5 - 4*v + v - 2 + 105*v**3 = 0.
-1, 1, 2
Let o(l) = 2*l**2 + l - 3. Let a(b) = 4*b**2 + b - 5. Let h(k) = -3*a(k) + 5*o(k). Suppose h(n) = 0. What is n?
0, 1
Let o(v) be the third derivative of v**7/56 + 3*v**6/160 - 3*v**5/20 + v**4/8 - 17*v**2. Suppose o(k) = 0. What is k?
-2, 0, 2/5, 1
Let r(b) be the third derivative of 0 + 0*b + 1/60*b**6 - 5*b**2 + 0*b**5 + 0*b**4 + 0*b**3 - 1/105*b**7. Solve r(s) = 0.
0, 1
Let b(c) be the second derivative of c**6/180 - c**5/30 + c**4/12 - c**3/2 - 3*c. Let x(l) be the second derivative of b(l). Factor x(q).
2*(q - 1)**2
Suppose v = 4 - 1. Solve d**2 + 0*d**3 - 7*d**2 - 3*d**v - 3*d = 0.
-1, 0
Let a(b) be the second derivative of b**7/120 + b**6/48 - b**5/20 + b**4/6 + 3*b. Let r(k) be the third derivative of a(k). Factor r(o).
3*(o + 1)*(7*o - 2)
Let h(g) = 2 + 39*g - 39*g - 6*g**2 - g**3. Let k be h(-6). Factor -1/2*j**k - 2 - 2*j.
-(j + 2)**2/2
Find q, given that -105/4*q**2 + 351/2*q + q**3 - 169/4 = 0.
1/4, 13
Let b(k) be the first derivative of -3 - k**2 - 1/3*k**3 + 0*k. Solve b(x) = 0 for x.
-2, 0
Let i(j) = j + 11. Let x be i(-11). Let h(a) be the first derivative of -2 - 1/20*a**5 + x*a - 1/8*a**4 + 0*a**2 - 1/12*a**3. Let h(b) = 0. Calculate b.
-1, 0
Let x = -13354/7 + 1759. Let j = x - -149. Find l such that j*l**2 + 2/7*l - 2/7*l**3 - 2/7 = 0.
-1, 1
Solve -2*l**2 + 4*l**3 + l**3 - 5*l**2 - 3*l**2 = 0.
0, 2
Let u be (8/(-16)*4)/(-3). Factor 2/3*m**2 - u*m - 4/3.
2*(m - 2)*(m + 1)/3
Let o(u) be the second derivative of -u**4/18 - 4*u**3/9 - u**2 - 7*u. Factor o(s).
-2*(s + 1)*(s + 3)/3
Let l(a) be the first derivative of -a**3/3 + 3*a**2/2 - 2*a + 19. Factor l(w).
-(w - 2)*(w - 1)
Let h(k) be the second derivative of -k**5/30 - k**4/3 + 32*k**2/3 + 4*k + 2. Factor h(n).
-2*(n - 2)*(n + 4)**2/3
Let g(v) be the first derivative of -1/8*v**4 + 1 - 1/5*v**5 + 0*v**3 + 3/2*v**2 + 0*v. Let q(m) be the second derivative of g(m). Factor q(h).
-3*h*(4*h + 1)
Factor 5*j**2 - 13*j + 16*j + 22*j.
5*j*(j + 5)
Let s be (-60)/105*(-7)/2. Solve 9/7*y - 6/7 - 3/7*y**s = 0 for y.
1, 2
Let n(l) = 3*l**4 + 12*l**3 - 6*l**2 + 3. Let z = 10 + -11. Let s(j) = -j**4 - j**3 + j**2 - j. Let b(x) = z*n(x) - 6*s(x). Factor b(h).
3*(h - 1)**3*(h + 1)
Let g be ((-12)/(-330))/(16/720). Solve -12/11*j - 16/11*j**2 - 2/11 + 12/11*j**3 + g*j**4 = 0.
-1, -1/3, 1
Let p = 56 + -49. Let h(o) be the third derivative of 0 + 1/150*o**5 + 0*o**6 + 0*o**4 + 0*o + 0*o**3 - 1/525*o**p + o**2. What is z in h(z) = 0?
-1, 0, 1
Factor 0*o + 0*o**2 + 0 - 1/3*o**4 - 1/3*o**5 + 2/3*o**3.
-o**3*(o - 1)*(o + 2)/3
Let r(n) be the second derivative of n**5/100 - n**3/30 - 37*n. Factor r(p).
p*(p - 1)*(p + 1)/5
Let t be (-14)/(-49) - 2*(-1)/(-7). Let z(b) be the third derivative of 0*b**3 - 1/90*b**5 + t*b**4 - 1/120*b**6 + 0 + b**2 + 0*b - 1/630*b**7. Factor z(w).
-w**2*(w + 1)*(w + 2)/3
What is l in -4*l**2 - 2*l**2 - 3*l**4 - l**4 - 4*l + 6*l**4 = 0?
-1, 0, 2
Find n, given that 0*n + 0 + 2/7*n**2 = 0.
0
Let h = 6 - 4. Suppose -h*s = s. Let 0 + s*f - 2/7*f**2 + 2/7*f**3 = 0. What is f?
0, 1
Let p be (2 + (-20)/22)/(12/6). Suppose 2/11 - 2/11*z**3 - 6/11*z + p*z**2 = 0. What is z?
1
Let t(p) be the first derivative of p**4/26 - 10*p**3/39 + 3*p**2/13 + 18*p/13 + 6. Factor t(o).
2*(o - 3)**2*(o + 1)/13
Let r(x) be the second derivative of x**5/90 - x**3/27 - 2*x. Let r(d) = 0. Calculate d.
-1, 0, 1
Let x(n) = n + 2. Let l be x(0). Let 2/3*h**l + 2/3*h**4 - 14/9*h**3 + 2/3*h - 4/9 = 0. What is h?
-2/3, 1
Let z(v) = v - 1. Let s(c) = 9*c**3 + 38*c**2 + 36*c + 16. Let h(q) = 5*s(q) + 40*z(q). Factor h(d).
5*(d + 2)**2*(9*d + 2)
Let w(z) be the second derivative of -z**5/25 + 2*z**3/5 + 4*z**2/5 + 5*z. Factor w(f).
-4*(f - 2)*(f + 1)**2/5
Let l(w) be the second derivative of -w**6/3 - 13*w**5/10 - 2*w**4/3 + 4*w**3/3 + 11*w. Factor l(j).
-2*j*(j + 1)*(j + 2)*(5*j - 2)
Suppose 5*a - 2 = 18. Let t(m) be the first derivative of 0*m - 1/2*m**a + 2/5*m**5 + 0*m**2 + 0*m**3 + 2. What is x in t(x) = 0?
0, 1
Suppose 2*p - 1 = 2*b + 5*p, -5 = b - 3*p. Let t(o) = o**4 - o**3 + o**2. Let z(u) = 5*u**4 - 12*u**3 + 11*u**2 - 2*u. Let m(k) = b*t(k) + z(k). Factor m(i).
i*(i - 2)*(i - 1)*(3*i - 1)
Let n(o) be the third derivative of -o**5/150 - o**4/20 - 2*o**3/15 + 7*o**2. Let n(v) = 0. What is v?
-2, -1
Let x(z) be the first derivative of -z**7/525 - z**6/180 - z**5/300 - z**3/3 + 2. Let p(i) be the third derivative of x(i). Let p(w) = 0. Calculate w.
-1, -1/4, 0
Let g(x) = 12*x**3 + 9*x**2 - 4*x**2 - 2*x - 13*x**3 + 2. Let o(f) = 6*f**2 - 3*f + 3. Let u(k) = -3*g(k) + 2*o(k). Factor u(a).
3*a**2*(a - 1)
Let r(c) be the first derivative of -c**8/160 + 23*c**7/560 - c**6/12 + c**5/20 - c**3 + 1. Let p(v) be the third derivative of r(v). Let p(b) = 0. Calculate b.
0, 2/7, 1, 2
Let t = -5921 - -29931/5. Let p = t - 65. What is g in 1/5*g + p*g**2 - 1/5 - 1/5*g**3 = 0?
-1, 1
Factor -8/7*r**3 - 2/7 - 2/7*r**4 - 8/7*r - 12/7*r**2.
-2*(r + 1)**4/7
Factor 0 + 3/2*l**2 - 3/2*l.
3*l*(l - 1)/2
Let m(r) be the third derivative of r**8/840 - r**6/100 - r**5/75 + 2*r**2. Find n, given that m(n) = 0.
-1, 0, 2
Let v(q) = -q**3 - 16*q**2 + 2. Let s be v(-16). Determine k so that -1/5*k + 1/5*k**3 + 1/5*k**s - 1/5 = 0.
-1, 1
Let q(i) be the first derivative of -i**6/36 - i**5/15 + 4. Factor q(u).
-u**4*(u + 2)/6
Let u(k) be the first derivative of k**4/20 - 4*k**3/15 + 3*k**2/10 + 12. Find i such that u(i) = 0.
0, 1, 3
Find c, given that 0 - 1/4*c**3 + 1/2*c**2 - 3/4*c**4 + 0*c = 0.
-1, 0, 2/3
Let p(j) be the third derivative of j**6/720 - j**5/240 - j**4/24 - 2*j**3/3 + 4*j**2. Let h(f) be the first derivative of p(f). Let h(y) = 0. What is y?
-1, 2
Let p(g) be the third derivative of 6*g**2 - 1/72*g**6 + 0*g + 0 - 1/15*g**5 - 1/8*g**4 - 1/9*g**3. Factor p(r).
-(r + 1)**2*(5*r + 2)/3
Let u(j) be the second derivative of -j**6/210 + j**5/140 + 5*j**4/84 + j**3/14 + 5*j. Factor u(m).
-m*(m - 3)*(m + 1)**2/7
Let i be ((-20)/35)/((72/21)/(-4)). Factor 0*p - 8/9 - 2/9*p**3 + i*p**2.
-2*(p - 2)**2*(p + 1)/9
Let k(o) be the first derivative of -o**4 - o**3/3 + o - 2. Let n be k(-1). Factor -2 + g**n + g**3 + 2.
g**3*(g + 1)
Let v(z) be the first 