*d, 3*q - 2*d + 61 = -3. Let c be 3/q*2*-2. Suppose 8/3 + c*h**2 + 8/3*h = 0. What is h?
-2
Let h(d) = -d + 7. Let b be h(4). Let q(t) be the third derivative of t**2 + 0*t**b + 0*t - 7/120*t**7 + 0 + 77/480*t**6 - 2/15*t**5 + 1/24*t**4. Factor q(p).
-p*(p - 1)*(7*p - 2)**2/4
Let c = -1 + 3. Factor 4*o - 2*o + 0*o + 2*o**c - 4*o.
2*o*(o - 1)
Suppose -4*l = 2 + 2, -4*l = 3*b - 29. Suppose -4*t**2 + 9 - 3*t - b + 0*t + 3*t**2 = 0. Calculate t.
-2, -1
Suppose 2*h - 5*h = -2*v + 15, 2*h + 6 = 0. Determine k, given that -2*k - 2*k**3 - 3*k**2 + k**v + 3*k**3 + 4 - k**2 = 0.
-1, 1, 2
Let p be (-2)/18*-3*-938. Let q = p + 318. Let 13/3*k**2 - 11/3*k**3 - 5/3*k**5 + 4/3 - 17/3*k**4 + q*k = 0. Calculate k.
-2, -1, -2/5, 1
Let q(v) be the second derivative of 4/7*v**2 - 4/21*v**3 - 3*v + 1/42*v**4 + 0. Find n such that q(n) = 0.
2
Let g(u) be the second derivative of u**9/22680 - u**8/10080 - u**7/3780 + u**6/1080 - u**4/4 + 2*u. Let d(l) be the third derivative of g(l). Solve d(m) = 0.
-1, 0, 1
Let k(a) be the third derivative of 1/3*a**3 + 0*a - a**2 + 1/120*a**5 + 0 + 1/12*a**4. Solve k(h) = 0 for h.
-2
Let b be 0/(-2)*2/2. Suppose q = -4*h - b*h - 5, 1 = q + h. Solve -6/7*f**2 - 6/7*f - 2/7 - 2/7*f**q = 0.
-1
Let h be 1/(5/(-19)) - -4. Solve 0*g - h*g**2 + 1/5*g**3 + 1/5*g**4 + 0 - 1/5*g**5 = 0 for g.
-1, 0, 1
Let -2/13*m**5 + 20/13*m**2 - 10/13*m + 10/13*m**4 - 20/13*m**3 + 2/13 = 0. Calculate m.
1
Let o be 12/(-8)*-2 + -1. Let v(f) be the third derivative of 0 + 2/3*f**3 - 1/4*f**4 - o*f**2 + 0*f + 1/30*f**5. Factor v(a).
2*(a - 2)*(a - 1)
Let 2/13*s - 8/13 + 8/13*s**2 - 2/13*s**3 = 0. Calculate s.
-1, 1, 4
Let m(t) = t**2 + 2*t - 5. Let g be m(-4). Let f(c) be the second derivative of 3*c + 0 + 0*c**4 - 1/24*c**g + 0*c**2 + 1/80*c**5. Factor f(b).
b*(b - 1)*(b + 1)/4
Let y**2 + 1 + 2 - 2*y + 8*y + 2 = 0. Calculate y.
-5, -1
Suppose -1/4*d**5 + 0 - 7/4*d**3 - 3/4*d**2 + 0*d - 5/4*d**4 = 0. What is d?
-3, -1, 0
Let k be 0 - ((-120)/54)/10. Factor 0*w + 4/9*w**2 + k*w**4 + 0 + 2/3*w**3.
2*w**2*(w + 1)*(w + 2)/9
Let u(r) be the first derivative of -4*r**5/5 + 3*r**4 - 4*r**3 + 2*r**2 + 7. Factor u(l).
-4*l*(l - 1)**3
Suppose -l + 2*s + 3 = -3, -s = 3. Let j = 1/5 + l. Find f, given that j*f**2 - 1/5*f**3 - 1/5*f**4 + 1/5*f + 0 = 0.
-1, 0, 1
Let x be 7 + (-1 - 12/2). Factor -1/2*y**5 + x*y + 0 - 5/2*y**3 + 2*y**4 + y**2.
-y**2*(y - 2)*(y - 1)**2/2
Let k(u) be the second derivative of -3*u**5/20 - u**4/2 + 3*u**3/2 - 7*u. Solve k(h) = 0 for h.
-3, 0, 1
Let y(i) be the first derivative of -13*i**6/2 - 33*i**5/5 + 45*i**4/4 + 11*i**3 - 3*i**2 - 41. Find b, given that y(b) = 0.
-1, 0, 2/13, 1
Suppose -49*y + 8 = -51*y + 4*x, -3*x = -6. Suppose -4*i - 20 = -9*i. Factor y*t**3 - 1/3*t**2 + 0*t + 0 + 1/3*t**i.
t**2*(t - 1)*(t + 1)/3
Factor -36*h - 14*h**2 - 24*h**2 - 4*h**3 + 14*h**2.
-4*h*(h + 3)**2
Suppose 3*f - 16 = 4*z, 2*f - 5*z - 20 = f. Let u(h) be the second derivative of 3*h + f*h**2 + 0*h**3 - 1/30*h**5 + 1/18*h**4 + 0. Factor u(x).
-2*x**2*(x - 1)/3
Find q such that 0*q**2 - 3/7*q**4 + 3/7*q**3 + 0 + 0*q = 0.
0, 1
Let s(x) be the third derivative of -x**6/120 + x**5/5 + 7*x**4/12 - 13*x**3/6 - 6*x**2. Let v be s(13). Factor 1/3*a**4 - 1/3*a - 1/3*a**2 + 1/3*a**3 + v.
a*(a - 1)*(a + 1)**2/3
Factor -1/3*p**5 + 2/3*p**3 - 1/3*p - 1/3 - 1/3*p**4 + 2/3*p**2.
-(p - 1)**2*(p + 1)**3/3
Let n(r) be the first derivative of r**6/18 - r**5/15 - r**4/6 + 24. Find p such that n(p) = 0.
-1, 0, 2
Let z(g) = -6*g**5 + 24*g**4 - 36*g**3 + 19*g**2 - g. Let o(t) = 3*t**5 - 12*t**4 + 18*t**3 - 10*t**2 + t. Let p(x) = 5*o(x) + 2*z(x). Solve p(b) = 0.
0, 1
Let u be ((-6)/10)/(6/60*-2). Let r(y) be the second derivative of 0*y**5 + 0 - 1/24*y**4 - 1/18*y**u + 1/180*y**6 - 4*y + 0*y**2. Suppose r(b) = 0. What is b?
-1, 0, 2
Let l = -2/309 - -931/618. What is p in -1 + 0*p**2 - 1/2*p**3 + l*p = 0?
-2, 1
Let o(b) be the third derivative of b**9/362880 + b**8/60480 + b**7/30240 + b**5/60 + 2*b**2. Let x(l) be the third derivative of o(l). What is r in x(r) = 0?
-1, 0
Let j = 1/429 - -281/2145. Find d, given that -j*d**2 + 4/15*d - 2/15 = 0.
1
Let w(t) be the third derivative of -t**5/150 + t**4/60 + 6*t**2. What is q in w(q) = 0?
0, 1
Let x be (-5)/(-2)*16/20. Find z such that -3*z**2 + 4*z**x + 3*z**2 + 5*z**4 + 8*z**3 + 4*z**5 - 3*z**5 = 0.
-2, -1, 0
Let i(k) = k**3 + 8*k**2 + 8*k + 9. Let t be i(-7). Find s, given that 1/5*s**4 + 2/5 + 9/5*s**t - 7/5*s - s**3 = 0.
1, 2
Factor 2/7*k**3 + 2/7*k**2 + 0*k + 0.
2*k**2*(k + 1)/7
Let t(z) = -z**3 + 11*z**2 + z - 9. Let r be t(11). Suppose 2*v**3 - 2*v - 2*v**r + 3*v**2 + v**2 - 2*v**4 = 0. Calculate v.
-1, 0, 1
Let g be (-6)/27*-3*12/4. Factor g*f + 1/2 + 3/2*f**2.
(f + 1)*(3*f + 1)/2
Let z(k) be the first derivative of k**7/735 - k**6/105 + 2*k**5/105 - k**2/2 + 4. Let p(j) be the second derivative of z(j). Factor p(u).
2*u**2*(u - 2)**2/7
Factor 0*k - 2*k**3 + 7*k - 6*k**2 - 2 - k + 4*k**3.
2*(k - 1)**3
Let q(z) be the third derivative of z**5/12 + 5*z**4/24 - 5*z**3/3 + 34*z**2. Solve q(o) = 0.
-2, 1
Let k be (480/27)/4 - (-12)/(-6). Suppose 2*o + k*o**2 - 4/9 = 0. Calculate o.
-1, 2/11
Let w(s) be the second derivative of -s**5/60 + s**4/24 + 3*s**2/2 - 2*s. Let h(x) be the first derivative of w(x). Suppose h(p) = 0. Calculate p.
0, 1
Let a = 0 - -3. Factor t + a*t**2 + 2*t**3 + 2*t**3 - 3*t - 5*t**3.
-t*(t - 2)*(t - 1)
Let v(y) be the third derivative of 0*y - 1/30*y**5 + 0*y**4 - 5*y**2 + 0 + 1/3*y**3. Factor v(j).
-2*(j - 1)*(j + 1)
Let i(f) = f**3 + 2*f**2 + f + 1. Let z be i(-3). Let l be z/(-3) - (-10)/(-15). Factor 2/5*d**4 + 0*d + 0*d**2 + 4/5*d**5 + 0 - 2/5*d**l.
2*d**3*(d + 1)*(2*d - 1)/5
Suppose -5*t + o + 26 = 0, 0 = -3*t + 4*o - 0 + 2. Suppose 0 = -3*r - q + t, 0 = 3*r - 4*r - q. Factor -x**3 + x**2 + 2*x**r + 0*x**3.
x**2*(x + 1)
Let y(h) be the third derivative of -h**6/600 + h**5/100 - h**4/60 - 31*h**2. Factor y(g).
-g*(g - 2)*(g - 1)/5
Let r = 964/7 - 136. Determine m so that 4/7*m**5 + 32/7*m**3 + r*m + 4*m**2 + 2/7 + 18/7*m**4 = 0.
-1, -1/2
Factor 2/3*g**2 - 11/3*g**3 + 0 + 0*g + 4*g**4.
g**2*(3*g - 2)*(4*g - 1)/3
Suppose 15*t - 6 = 14*t. Let a(g) be the second derivative of 1/18*g**3 + 0 + 1/45*g**t - 1/18*g**4 - 3*g + 0*g**2 - 1/60*g**5. Factor a(o).
o*(o - 1)*(o + 1)*(2*o - 1)/3
Let j(f) = -3*f + 26. Let y be j(8). Suppose -2/7 + 2/7*x**3 + 2/7*x**y - 2/7*x = 0. What is x?
-1, 1
Factor 4*t**2 + 0*t**4 - 2*t**3 - 3*t**2 - 2*t**2 - t**4.
-t**2*(t + 1)**2
Let p(t) be the first derivative of -t**4/2 + 2*t**3/3 + 31. Factor p(m).
-2*m**2*(m - 1)
Let f(o) be the first derivative of 2*o**5/35 + o**4/7 - 2*o**2/7 - 2*o/7 + 9. Let f(l) = 0. What is l?
-1, 1
Let w(g) be the second derivative of -g**6/840 + g**4/168 - 3*g**2/2 + g. Let d(a) be the first derivative of w(a). Suppose d(z) = 0. What is z?
-1, 0, 1
Let y be ((-14)/(-21))/((-2)/(-9)). Suppose y*o = o. Let o*p + 0*p**3 + 3/4 - 3/2*p**2 + 3/4*p**4 = 0. Calculate p.
-1, 1
Let a(r) be the third derivative of -r**8/60480 - r**5/20 + 3*r**2. Let p(h) be the third derivative of a(h). Factor p(b).
-b**2/3
Let l(d) be the second derivative of 3*d**7/280 - d**6/32 + d**5/40 + 5*d**2/2 + d. Let o(k) be the first derivative of l(k). Factor o(j).
3*j**2*(j - 1)*(3*j - 2)/4
Let t(q) = q + 1. Let s(o) = o**2 + 3*o + 2. Let y(i) = -4*s(i) + 4*t(i). Find a, given that y(a) = 0.
-1
Let d(u) be the first derivative of -u**4/6 - u**3/3 - u - 1. Let p(q) be the first derivative of d(q). Factor p(l).
-2*l*(l + 1)
Let 4*i - i**2 + 2 - i - 2*i - 2*i = 0. Calculate i.
-2, 1
Suppose -4*n + 6 = -h - 4, -5*h = 2*n - 16. Let g(m) be the first derivative of 1 - 2/5*m**5 + 0*m - m**4 + 2/3*m**n + 2*m**2. Factor g(j).
-2*j*(j - 1)*(j + 1)*(j + 2)
Determine i so that 3/2*i + i**2 + 1/2 - 3/2*i**4 - 1/2*i**5 - i**3 = 0.
-1, 1
Let h = 962/9 - 107. Let n = h - -7/9. Solve -n*r + 0 - 5/3*r**3 - 7/3*r**2 = 0.
-1, -2/5, 0
Let z(k) be the first derivative of -5/3*k**2 + 7 + 4/3*k + 2/3*k**3. Factor z(w).
2*(w - 1)*(3*w - 2)/3
Let d(s) be the third derivative of 2/105*s**6 - 1/42*s**5 + 1/84*s**4 + 0*s**3 - 7*s**2 + 0 + 0*s - 4/735*s**7. Determine l, given that d(l) = 0.
0, 1/2, 1
Let h(i) be the second derivative of -i**7/5040 - i**6/720 - i**4/4 - 2*i. Let b(a) be the third derivative 