-1/4, 0
Suppose 12 = 2*o + 4. Let h**3 + 2*h**4 + 19*h**3 + 10*h + 25*h**2 + h**o + 2*h**4 = 0. Calculate h.
-2, -1, 0
Let t(g) be the first derivative of -13/12*g**2 - g + 33 + 13/9*g**3 - 7/24*g**4. Find j, given that t(j) = 0.
-2/7, 1, 3
Suppose 5*s = -4*a + 261, -2*a - s + 13 = -122. Let r = a + -206/3. Factor -4/3*x + r*x**2 + 4/3.
(x - 2)**2/3
Suppose 0 = 21*b - 153 + 90. Factor b - 2*f + 1/3*f**2.
(f - 3)**2/3
Let h(a) be the third derivative of a**4 + 6/35*a**7 - 8/15*a**5 + 0 - 3*a**2 - 2/3*a**3 - 1/15*a**6 - 4*a - 1/21*a**8. Solve h(s) = 0.
-1, 1/4, 1
Solve 4*k**5 - 8*k**4 - 16*k**3 - 38*k**2 + 70*k**2 + 0*k**4 = 0 for k.
-2, 0, 2
Let m(b) = -121*b**3 + b**2 + 120*b**3 + 1 - b**2. Let p be m(-1). What is i in 0 - 4/9*i**p + 2/9*i**4 + 2/9*i**3 + 0*i = 0?
-2, 0, 1
Let s be 10/3 + 2 - 4/12. Let 15*a**3 - 15*a**4 + 2 - 2 - 51*a**5 + 56*a**5 - s*a**2 = 0. Calculate a.
0, 1
Let y(q) = 3 - 2 - 22*q + 23*q + q**2 + 0*q**2. Let f(z) = -z**3 - 3*z**2 - 2*z - 3. Let v(n) = f(n) + 3*y(n). Let v(b) = 0. Calculate b.
-1, 0, 1
Let k(h) be the second derivative of -h**6/72 - h**5/12 + 5*h**4/3 + 5*h**3/6 - 13*h. Let b(d) be the second derivative of k(d). Factor b(v).
-5*(v - 2)*(v + 4)
Let k(m) be the third derivative of -m**7/1680 + m**6/60 - 7*m**5/80 + 2*m**4/3 - 30*m**2. Let h(z) be the second derivative of k(z). Factor h(a).
-3*(a - 7)*(a - 1)/2
Let -7/2*t**3 + 1/4*t**5 + 0 - 1/4*t**4 + 6*t**2 + 0*t = 0. What is t?
-4, 0, 2, 3
Let g(m) be the third derivative of m**9/1008 - m**8/672 - 5*m**7/378 - m**6/54 - 7*m**4/12 + 2*m**2. Let p(s) be the second derivative of g(s). Solve p(o) = 0.
-2/3, 0, 2
Let q(b) be the second derivative of -b**4/6 - 2*b**3 - 8*b**2 - 76*b. Solve q(h) = 0.
-4, -2
Let h = -709 - -715. Let j(z) be the second derivative of 9*z + 1/30*z**h + 0*z**2 + 0 - 1/6*z**3 - 3/20*z**5 + 1/4*z**4. What is a in j(a) = 0?
0, 1
Suppose -4*n = 5*n - 45. Suppose n*m + 8 = 13. Factor -25/8*q**3 - q**4 - 7/2*q - m - 1/8*q**5 - 19/4*q**2.
-(q + 1)**2*(q + 2)**3/8
Factor 176/9*f**2 + 0 - 34/3*f - 10/9*f**3.
-2*f*(f - 17)*(5*f - 3)/9
Let x(w) be the second derivative of -w**6/120 - w**5/10 - w**4/8 + w**3/3 + 7*w**2/8 + 330*w. Factor x(n).
-(n - 1)*(n + 1)**2*(n + 7)/4
Let f = -703/255 - -48/17. Let q(t) be the second derivative of 0*t**2 + 1/2*t**5 - 4/3*t**4 + 0 + 2*t + 4/3*t**3 - f*t**6. Solve q(a) = 0.
0, 1, 2
Let y be ((-2)/3)/(4/(-66)). Suppose -1 = -3*s + y. Factor 6*r**3 - 4 + 4*r**s + 4 + 38*r**5 - 37*r**5 + r + 4*r**2.
r*(r + 1)**4
Let m(k) be the first derivative of -2*k**3/21 - 36*k**2/7 + 74*k/7 + 386. Suppose m(p) = 0. Calculate p.
-37, 1
Factor -2/3*c**3 - 8/3*c**2 - 2*c + 0.
-2*c*(c + 1)*(c + 3)/3
Let s be (-2 - 0) + (-21)/(-6). Suppose 0*v = -v + 4*i + 2, 0 = 4*v + 5*i - 8. Solve -s*d + 1/2*d**v + 1 = 0 for d.
1, 2
Let v(t) be the second derivative of -t**6/60 + 7*t**5/40 - 11*t**4/24 + 5*t**3/12 + 231*t. Determine c, given that v(c) = 0.
0, 1, 5
Let o(h) be the first derivative of -1/27*h**4 + 1/135*h**6 - 5*h + 1 + 1/9*h**2 + 0*h**5 + 0*h**3. Let r(m) be the first derivative of o(m). Factor r(g).
2*(g - 1)**2*(g + 1)**2/9
Let b(l) be the third derivative of 0 - 1/24*l**3 - 1/168*l**7 + 1/48*l**6 - 1/24*l**5 + 2*l**2 + 5/96*l**4 + 0*l + 1/1344*l**8. Factor b(f).
(f - 1)**5/4
Solve 70 + 2/3*a**2 + 212/3*a = 0 for a.
-105, -1
Let 89*n**2 + 601 - 314*n**2 + 649 - 5*n**4 + 125*n - 65*n**3 = 0. What is n?
-5, 2
Let t(z) be the second derivative of 7*z**4/12 - z**3/6 - 6*z - 1. Factor t(i).
i*(7*i - 1)
Let j = -296 + 299. Let p(h) be the third derivative of 0*h + 0*h**j + 1/120*h**5 + 0 + 0*h**4 + 2*h**2. Factor p(b).
b**2/2
Let f be (0/(-13 + (-36)/(-4)))/8. Solve -1/4*h**5 - 27*h**2 - 3*h**4 + f - 81/4*h - 27/2*h**3 = 0 for h.
-3, 0
Let o = 13319/2856 + 3/952. Factor -o*z**2 + 6*z**3 + 2/3*z**5 + 4/3*z - 10/3*z**4 + 0.
2*z*(z - 2)*(z - 1)**3/3
Suppose 2*c + 4 = 4*c. Let h(o) be the first derivative of -c + 1 - 14*o**3 + 13*o**3. Determine y, given that h(y) = 0.
0
Let x(a) be the first derivative of -a**6/3 + 5*a**4 + 40*a**3/3 + 15*a**2 + 8*a - 27. Factor x(u).
-2*(u - 4)*(u + 1)**4
Let r(v) = -42*v**3 - 51*v**2 - 51*v - 12. Let w(i) = -11*i**3 - 13*i**2 - 13*i - 3. Let l(t) = -4*r(t) + 15*w(t). Suppose l(u) = 0. Calculate u.
-1
Find b such that 16*b + 12*b**4 - 16*b - 87*b**5 - 16*b**3 + 91*b**5 = 0.
-4, 0, 1
Let i(d) = d - 4. Let b be i(6). Let -19*u + 6*u**2 + 13*u - 2*u**b + 2 = 0. What is u?
1/2, 1
Suppose 0 = -0*j + 2*j - 3*j. Suppose j = 3*q + 5*t - 25 + 1, 5*t = -4*q + 27. Factor 2/3*g**2 + 2/3*g + 2/9 + 2/9*g**q.
2*(g + 1)**3/9
Let t be (1 - (3 + 0)) + 7 + -3. Suppose l**5 + l**t - l**3 + 3*l**2 + l**4 - 5*l**2 = 0. What is l?
-1, 0, 1
Let q(c) be the third derivative of -8/525*c**7 + 0*c - 2/75*c**5 + 0*c**3 + 0*c**4 - 1/30*c**6 - 1/420*c**8 + 38*c**2 + 0. Factor q(p).
-4*p**2*(p + 1)**2*(p + 2)/5
Factor 10*y**4 + 92*y**2 + 1395*y - 810 + 236*y**2 - 165*y**3 + 202*y**2.
5*(y - 9)**2*(y + 2)*(2*y - 1)
Let a(m) be the third derivative of 17*m**2 + 1/120*m**7 + 1/48*m**4 - 1/80*m**5 + 0*m - 1/448*m**8 + 0*m**3 + 0 - 1/160*m**6. Let a(t) = 0. Calculate t.
-2/3, 0, 1
Let r(s) be the first derivative of 0*s**2 + 1/4*s**3 - 2 - 9/16*s**4 + 0*s + 9/20*s**5 - 1/8*s**6. Factor r(h).
-3*h**2*(h - 1)**3/4
Let a = -5823 + 5828. Factor 5/4*i**a + 0 - 5/4*i**3 - 5/4*i**2 + 5/4*i**4 + 0*i.
5*i**2*(i - 1)*(i + 1)**2/4
Let r(z) be the first derivative of -z**7/560 + 7*z**6/90 - 93*z**5/80 + 27*z**4/8 - 9*z**3 - 8. Let b(c) be the third derivative of r(c). Factor b(p).
-(p - 9)**2*(3*p - 2)/2
Let o(l) = l**2 + l + 1. Let a(n) = 7*n**2 - 32*n + 1. Let t(b) = -a(b) - 5*o(b). Let t(i) = 0. What is i?
1/4, 2
Let w(q) be the first derivative of -13*q**4/4 - 50*q**3/3 - 31*q**2/2 + 6*q + 64. Solve w(d) = 0.
-3, -1, 2/13
Let d(j) = 6 - 330*j**3 - 28*j + 13 - 25 - 282*j**4 - 146*j**2 + 4. Let x(f) = f**4 + f**3. Let t(h) = d(h) - 6*x(h). Determine p, given that t(p) = 0.
-1/3, -1/4
Suppose 9*a = -634 - 374. Let n be 8/(a/(-10))*(-4)/(-5). Factor 0*w**2 + 6/7*w + n - 2/7*w**3.
-2*(w - 2)*(w + 1)**2/7
Let o(r) = 44*r + 1630. Let w be o(-37). Factor 0*u - u**3 + 0 - 1/2*u**4 - 1/2*u**w.
-u**2*(u + 1)**2/2
Let z(c) = -c**2 + 8*c - 6. Let s be z(7). Suppose 4 - s = b. Factor -2*h**2 + 2*h**b - 3*h**4 + 6*h**3 - 3*h**3.
-h**2*(h - 1)*(3*h - 2)
Let t be (2/(-5))/(-5 - 1449/(-287)). Let u = -37/5 - t. Solve -u - 4/5*p**4 + 8/5*p**2 + 4*p**3 - 2*p - 2*p**5 = 0 for p.
-1, -2/5, 1
Let b(h) = -h**3 + 11*h**2 - 3*h - 3. Let r(u) = -13*u**2 + 14*u + 14 + 3*u**2 - 44*u**2 + 4*u**3. Let p(t) = 14*b(t) + 3*r(t). Factor p(c).
-2*c**2*(c + 4)
Suppose 30 = 18*y - 8*y. Let o be 4/(y/6 + 1/2). Suppose -4/7*z**2 + 0*z + 2/7*z**3 - 2/7*z**5 + 0 + 4/7*z**o = 0. What is z?
-1, 0, 1, 2
Let w be (-18)/4*(-4)/14. Let u be (-6 + 6 + 0)/(-7 - -1 - -8). Factor u + 3/7*t + 9/7*t**3 + w*t**2 + 3/7*t**4.
3*t*(t + 1)**3/7
Suppose 9*v - 42 = -5*v. Factor 0*k - 2/7*k**v - 2/7*k**2 + 0.
-2*k**2*(k + 1)/7
Suppose 5*q + 27 = -5*u + 157, 0 = -5*q + 5*u + 160. Let m = q - 86/3. Factor -m*j**2 - 4/3*j - 4/3.
-(j + 2)**2/3
Factor 0 - 1/7*y**4 + 11/7*y**2 + 4/7*y**3 + 6/7*y.
-y*(y - 6)*(y + 1)**2/7
Let v(z) be the first derivative of z**6/9 + 26*z**5/15 + 10*z**4 + 256*z**3/9 + 128*z**2/3 + 32*z + 144. Solve v(y) = 0.
-6, -2, -1
Let w(b) = -b**3 + 6*b**2 - 5*b + 4. Let d be w(5). Let h be (9 - 1) + -9 + d. Factor 24*y**h + 0 + 12*y**2 + 3/2*y.
3*y*(4*y + 1)**2/2
Let l(g) be the first derivative of 5*g**3/3 + 5*g**2 + 5*g + 70. Find p, given that l(p) = 0.
-1
Let o be ((0/(-2))/((-2)/2))/(-2). Factor 2/5*j**3 + o + 0*j**2 - 2/5*j.
2*j*(j - 1)*(j + 1)/5
Let n(m) be the first derivative of -m**4/14 - 34*m**3/21 - 75*m**2/7 - 198*m/7 + 729. Suppose n(v) = 0. Calculate v.
-11, -3
Factor 514*m**2 + 162*m + 2*m**3 + 4*m**3 + 1 - 1 - 2*m**4 - 424*m**2.
-2*m*(m - 9)*(m + 3)**2
Determine o, given that 1/2*o**5 - o**3 - 1 + o**4 - 4*o**2 - 7/2*o = 0.
-1, 2
Let z(d) be the third derivative of -d**5/240 - 11*d**4/48 - 5*d**3/3 - 647*d**2. What is n in z(n) = 0?
-20, -2
Factor 2/11*f**2 + 0 + 0*f - 12/11*f**3.
-2*f**2*(6*f - 1)/11
Suppose 5 = 5*q - 2*w + 1, 2*w = q + 4. Let o = -1 + 2. Factor 2 - 2*r**q - 3*r**4 + r**4 - o - r**5 + 3*r**4 + 2*r**3 - r.
-(r - 1)**3*(r + 1)**2
Suppose 0 = 6*f - 9*f + 