 + q**2 - 3*q**4 - q**5 + q**2 - 21*q - 2*q**3 + 1 + 24*q = 0. What is q?
-1, 1
Suppose 0 = -20*h + 19*h + 5. Let y(l) be the second derivative of -3*l + 1/2*l**3 + 1/20*l**h + 1/2*l**2 + 1/4*l**4 + 0. What is q in y(q) = 0?
-1
Let l be 2 + 2 - (5 + -7). Let h be (-2)/(-7) - l/21. Factor 2/3*p**2 + h*p + 2/3*p**5 + 2*p**3 + 2*p**4 + 0.
2*p**2*(p + 1)**3/3
Let o be (-741)/(-95)*2/(-6) + 3. Factor 2/5*u - 2/5*u**3 - 2/5*u**2 + o.
-2*(u - 1)*(u + 1)**2/5
Suppose 0 = 2*z + 21 - 5. Let q = -6 - z. Factor 2*f**q - 4*f**2 + 0*f**2.
-2*f**2
Factor -l**3 - 1/2 - 1/4*l**5 + l**4 - 1/2*l**2 + 5/4*l.
-(l - 2)*(l - 1)**3*(l + 1)/4
Factor 8/7*h**3 + 2/7*h + 0 + 10/7*h**2.
2*h*(h + 1)*(4*h + 1)/7
Let t(l) be the third derivative of 25*l**8/336 + 3*l**7/14 + l**6/5 + l**5/15 - 5*l**2. Suppose t(s) = 0. Calculate s.
-1, -2/5, 0
Let j = -150 + 153. Factor 2/3*o**j + 2/3*o**2 + 0 - 4/3*o.
2*o*(o - 1)*(o + 2)/3
Let n(c) be the third derivative of -2*c**2 + 0*c**3 - 1/330*c**5 - 1/66*c**4 + 0 + 0*c. Factor n(m).
-2*m*(m + 2)/11
Let q(t) be the second derivative of t**5/120 + t**4/12 + t**3/3 + 9*t**2/2 - 2*t. Let y(c) be the first derivative of q(c). Factor y(s).
(s + 2)**2/2
Let m(c) be the first derivative of 0*c + 8 - 1/3*c**2 - 2/27*c**3. Suppose m(f) = 0. Calculate f.
-3, 0
Let h = 10 + -5. Factor -4 - z**2 + 2*z - 3 + 5 - h*z.
-(z + 1)*(z + 2)
Let r(i) be the second derivative of 0 - 3/20*i**6 + 0*i**5 + 0*i**2 + 1/28*i**7 - 4*i + 1/2*i**4 + 0*i**3. Find z such that r(z) = 0.
-1, 0, 2
Let k = -950 - -952. Let 33/4*y**k + 1 - 33/4*y**4 + 6*y - 9/4*y**5 - 19/4*y**3 = 0. What is y?
-2, -1/3, 1
Let b(l) = -l**3 - l**2 - l. Let s(h) = 5*h**4 + 75*h**2 + 10*h. Let r(k) = -30*b(k) - s(k). What is f in r(f) = 0?
0, 1, 4
Let h be 4/2 - (1 + -1)/3. Factor 0 + 2/5*v**4 + 6/5*v**h - 2/5*v - 6/5*v**3.
2*v*(v - 1)**3/5
Suppose -m - 10 = -4*b + 36, 0 = -2*b + m + 22. Suppose 10*q = b*q - 6. Let 2*x**q + 3*x**2 + 1/2*x**4 + 2*x + 1/2 = 0. What is x?
-1
Let m(k) = 5*k**3 - 20*k**2 + 5. Let r(f) = -4*f**3 + 21*f**2 - 6. Let i(w) = -6*m(w) - 5*r(w). Let i(j) = 0. What is j?
0, 3/2
Let p(z) be the second derivative of -z**3/6 - z**2/2 + z. Let b be p(-4). Find t such that -1/2*t**b - t**2 - 1/2*t + 0 = 0.
-1, 0
Suppose -3*i - 4*i = -i. Let m(x) be the third derivative of -3*x**2 - 1/12*x**3 + 0 + i*x + 1/240*x**5 - 1/96*x**4. Factor m(a).
(a - 2)*(a + 1)/4
Let t(z) be the first derivative of -2*z**3/3 - 2*z**2 + 10. Suppose t(r) = 0. What is r?
-2, 0
Let y(f) = 6*f. Let v be y(6). Let 3 + 3*s + 1 + v*s**2 + 11*s + 10*s = 0. Calculate s.
-1/3
Factor 16/5*k + 19/5*k**3 - 4/5 - 7/5*k**4 - 5*k**2 + 1/5*k**5.
(k - 2)**2*(k - 1)**3/5
Determine y, given that -11*y**2 + 5*y - 2*y**2 + 3*y**2 = 0.
0, 1/2
Let f(j) be the third derivative of 31/12*j**4 - 2/3*j**3 - 99/20*j**5 + 1331/420*j**7 + 0 + 121/48*j**6 + 7*j**2 + 0*j. Solve f(o) = 0 for o.
-1, 2/11
Let w(t) = 3*t**2 + 2*t - 1. Let v(f) = 3*f**2 + 3*f. Let u(o) = 7*v(o) - 6*w(o). Let u(g) = 0. Calculate g.
-2, -1
Let a(d) be the third derivative of -d**5/20 - d**4/8 + d**3 - 17*d**2. Let a(b) = 0. Calculate b.
-2, 1
Suppose -4*q - 1 + 13 = 0. Determine o so that -11*o**5 - 3*o**2 - 2*o**q + 5*o**2 + 13*o**5 - 2*o**4 = 0.
-1, 0, 1
Suppose -5*m = 2*n - 7*n + 30, 3*n = -3*m + 6. Let c(k) = -k**2 + 5*k - 2. Let v be c(n). Factor -1/4*b**v - 1/4 + 1/2*b.
-(b - 1)**2/4
Let r(i) = 5*i**2 + 2*i + 5. Let v(s) = -s**2 - s - 1. Let l(k) = -9*k**2 - 5*k - 9. Let h(a) = -l(a) + 3*v(a). Let u(z) = -4*h(z) + 5*r(z). Factor u(b).
(b + 1)**2
Let q be 0/1 + (-2)/(-4). Suppose 0 = -2*n - 4*y + 12, -4*n = n + 2*y - 14. Solve -q*x - 1/4*x**n + 0 = 0 for x.
-2, 0
Let p(x) be the second derivative of -9*x**5/80 + x**4/16 + 3*x**3/8 - 3*x**2/8 + 6*x. Suppose p(z) = 0. What is z?
-1, 1/3, 1
Let s = 10 - 5. Let k be (12/100)/(1/s). Let -3/5*u - 1/5*u**3 + k*u**2 + 1/5 = 0. What is u?
1
Let m(r) be the first derivative of 3*r + 3/5*r**5 - 6*r**2 + 2 + 6*r**3 - 3*r**4. What is x in m(x) = 0?
1
Suppose -4*m**2 + m**3 + 5*m**3 - 4*m**4 + 10*m**5 + m + 12*m**5 - 21*m**5 = 0. Calculate m.
0, 1
Let o = -29 - -49. Let s be (-29)/(-4) - 5/o. Suppose 1 - s*c - 16*c**4 + c - 2 - c**2 + 24*c**3 = 0. What is c?
-1/4, 1
Let n(a) be the first derivative of -1/6*a**4 - 4/9*a**3 + 0*a - 1/3*a**2 - 1. Solve n(f) = 0.
-1, 0
Let l(a) be the third derivative of a**6/30 - 3*a**5/5 + 4*a**4 - 32*a**3/3 - 15*a**2. Factor l(d).
4*(d - 4)**2*(d - 1)
Let j be 4/6 + 76/(-6). Let l be (-2)/6*(0 + j). Factor 2*b**2 + 1 - l*b**2 + b - 2*b**2 - 4*b.
-(b + 1)*(4*b - 1)
Let b(j) be the second derivative of 3*j**5/20 - 7*j**4/4 + 15*j**3/2 - 27*j**2/2 - 11*j. Factor b(h).
3*(h - 3)**2*(h - 1)
Let s be (0 + -1)/(6/(-30)). Let 8*w**4 - 2*w**4 + w**5 + 3*w - 6*w**2 - 4*w**s = 0. Calculate w.
-1, 0, 1
Let t(q) be the second derivative of 4/15*q**3 - 2/5*q**2 - 1/60*q**4 - 3/100*q**5 - 3*q + 0. Find c, given that t(c) = 0.
-2, 2/3, 1
Let p(b) be the first derivative of -b**6/9 + 2*b**5/15 + b**4/6 - 2*b**3/9 + 3. Factor p(q).
-2*q**2*(q - 1)**2*(q + 1)/3
Let t be 5/(-1)*4/(-10). Find x, given that 10*x**3 + 30*x + 8 + 7*x**2 - 6*x + 29*x**t - 24 = 0.
-2, 2/5
Let i(m) be the third derivative of 1/15*m**3 + 0 + 1/150*m**5 - 1/30*m**4 + 4*m**2 + 0*m. Determine s, given that i(s) = 0.
1
Let v(k) be the first derivative of 3*k**6 - 6*k**5 - 5*k**4/2 + 10*k**3 - 8*k + 7. Find l, given that v(l) = 0.
-2/3, 1
Let u(b) be the first derivative of -b**7/1575 - b**6/900 + 2*b**2 + 4. Let l(o) be the second derivative of u(o). Factor l(s).
-2*s**3*(s + 1)/15
Let l be 1 - (2 - (4 - 3)). Let z(d) be the second derivative of -1/36*d**4 + l + d + 0*d**3 + 0*d**2. Factor z(q).
-q**2/3
Let i(o) be the second derivative of 3*o**5/100 - o**4/20 - o**3/10 + 3*o**2/10 + 2*o. Let i(l) = 0. Calculate l.
-1, 1
Let g be (-3 + 2)*(-2)/2. Suppose b - g - 1 = 0. Factor -b - 2*v**2 + 2*v + v**2 - 5*v.
-(v + 1)*(v + 2)
Let v(o) be the third derivative of -o**8/784 - o**7/490 + o**6/280 + o**5/140 + 12*o**2. Factor v(y).
-3*y**2*(y - 1)*(y + 1)**2/7
Suppose -5*v + 3 = -7. Suppose 2*w + 18 = 4*u, 0*u - u + v*w + 12 = 0. Factor 2 - 2 + u*q**2 - 2*q.
2*q*(q - 1)
Suppose s - 2*j + 0*j = -8, 0 = -4*s + j - 25. Let u be 16/s*(-15)/10. What is r in 2*r**4 - 14*r**3 + 10*r**5 + 6*r**2 - 8*r**u + 4*r + 0*r**5 = 0?
-1, -2/5, 0, 1
Let z(l) be the second derivative of l**6/15 - l**5/10 + 6*l. Suppose z(y) = 0. What is y?
0, 1
Let c(y) be the first derivative of 1/2*y**2 - y**5 - 2 - 3*y**3 - 13/4*y**4 + 2*y. Factor c(o).
-(o + 1)**3*(5*o - 2)
Let p(h) = h**2 - h - 1. Let c(d) = 2*d**3 + d**2 - 3*d - 3. Let k(m) = -2*c(m) + 6*p(m). Factor k(v).
-4*v**2*(v - 1)
Let o(r) be the second derivative of 5*r**4/42 - 2*r**3/7 + r**2/7 + 9*r. Factor o(p).
2*(p - 1)*(5*p - 1)/7
Factor 4 - 4*p - 12 - 4*p**4 + 4*p**3 - 3*p**2 + 0*p + 15*p**2.
-4*(p - 2)*(p - 1)*(p + 1)**2
Let f(p) = -7*p**2. Let d = 0 + 9. Suppose 0*s + 6 = 3*s, 16 = -5*c - 2*s. Let t(j) = -3*j**2. Let a(k) = c*f(k) + d*t(k). Factor a(b).
b**2
Let h be 3 - 1 - (-14)/7. Factor 5*u**3 - 3 - u**2 - 4*u**3 + 3*u - h*u + 4.
(u - 1)**2*(u + 1)
Let y(r) be the third derivative of 0*r + 0*r**5 + 1/60*r**6 + 0*r**3 + 0*r**4 - 2/105*r**7 + 0 - 2*r**2. Determine o, given that y(o) = 0.
0, 1/2
Factor 6*c**3 - 13*c - 1 - 14*c - 8*c**2 + 9*c**4 + 21*c.
(c - 1)*(c + 1)*(3*c + 1)**2
Let m(g) be the second derivative of g**5/10 + g**4/6 - 2*g**3/3 + 24*g. Factor m(l).
2*l*(l - 1)*(l + 2)
Suppose -4*s + 13 = -0*t - t, -2*t - 6 = -3*s. Factor -2/7*b**4 + 0 - 2/7*b + 2/7*b**2 + 2/7*b**t.
-2*b*(b - 1)**2*(b + 1)/7
Factor -4*c**2 - 2*c**4 - 8*c**3 - 7*c**4 - 8*c**4 + 13*c**4.
-4*c**2*(c + 1)**2
Suppose -12*s**2 - 16 - 2*s**4 - 2*s**3 + 24*s**2 - 2*s**4 + 16*s - 6*s**3 = 0. Calculate s.
-2, 1
Let y(c) be the first derivative of 25*c**6/9 - 22*c**5/3 + 19*c**4/6 + 46*c**3/9 - 8*c**2/3 - 8*c/3 - 13. Let y(u) = 0. What is u?
-2/5, 1
Let w(n) = n**3 - n**2 + 1. Let c(k) = 16*k**3 + 16*k**2 + 8*k + 4. Let j(y) = -c(y) + 4*w(y). Find t such that j(t) = 0.
-1, -2/3, 0
Let p(l) be the second derivative of l**4/42 - 2*l**3/21 + l**2/7 - 6*l. What is x in p(x) = 0?
1
Let l(k) be the first derivative of k**3/15 - 3*k**2/5 + 9*k/5 - 10. Suppose l(h) = 0. What is h?
3
Let n = 66 + -116. Let x be -1 - (-5)/(n/(-12)). De