 q = -24 + 28. Suppose -2*l = -q - 0. Suppose 0*r**l + 1/3*r**4 + 0 - 1/3*r**3 + 0*r = 0. What is r?
0, 1
Let r(j) be the third derivative of j**8/33600 - j**7/25200 + 7*j**5/60 + 10*j**2. Let i(y) be the third derivative of r(y). Factor i(h).
h*(3*h - 1)/5
Let n(t) be the second derivative of 250*t**7/21 - 70*t**6/3 - 2*t**5 + 46*t**4/3 + 26*t**3/3 + 2*t**2 + t - 2. Factor n(p).
4*(p - 1)**2*(5*p + 1)**3
Solve 8/17*x**2 + 0 - 2/17*x + 8/17*x**4 - 2/17*x**5 - 12/17*x**3 = 0 for x.
0, 1
Let m(x) = -x**2 - 3*x + 4. Let c be m(-3). Factor 0 + l**2 - 1/2*l**c + 0*l - 1/2*l**3.
-l**2*(l - 1)*(l + 2)/2
Let j(r) = 5*r**2 + 5*r + 5. Let s(w) = 4*w**2 + 6*w + 6. Let d(g) = -2*j(g) + 3*s(g). Find l, given that d(l) = 0.
-2
Factor 0 - 1/3*d**4 + d**2 + 0*d**3 + 2/3*d.
-d*(d - 2)*(d + 1)**2/3
Factor 6*d**2 + 5*d**2 - 20*d + 20 - 5*d**2 - d**2.
5*(d - 2)**2
Let o(x) be the third derivative of -x**7/6300 - 7*x**6/3600 - x**5/200 + 7*x**4/24 + 2*x**2. Let k(s) be the second derivative of o(s). Factor k(b).
-(b + 3)*(2*b + 1)/5
Let u(q) be the third derivative of q**5/210 - q**4/84 - 2*q**3/21 - 3*q**2. Factor u(v).
2*(v - 2)*(v + 1)/7
Factor -9*s + 3 - 21/4*s**2.
-3*(s + 2)*(7*s - 2)/4
Let w(c) be the first derivative of -c + 0*c**2 + 1 + 1/27*c**3 + 1/27*c**4 + 1/90*c**5. Let p(i) be the first derivative of w(i). Factor p(f).
2*f*(f + 1)**2/9
Let b(r) = r**2 + 6*r - 5. Let i be b(-7). Factor -4*n**3 - 7*n**i + 6*n + n**3 + 0*n.
-n*(n + 3)*(3*n - 2)
Let t(h) be the third derivative of 0*h - 1/60*h**6 - 7*h**2 + 0*h**7 + 0 + 1/336*h**8 + 1/24*h**4 + 0*h**5 + 0*h**3. Solve t(d) = 0 for d.
-1, 0, 1
Suppose -3*v - 2*v + 25 = 0. What is a in v + a**4 - 4 - 4*a**3 - 2*a + 6*a**2 - 2*a = 0?
1
Let b = 7 + -3. Suppose -4 - 60 = -b*t. Let t*w + 5*w**2 - 4*w**2 + w**2 + 4*w**2 + 8 = 0. Calculate w.
-2, -2/3
Let l(r) be the third derivative of -r**6/160 - r**5/80 + 7*r**2. Factor l(i).
-3*i**2*(i + 1)/4
Let q be 12/15 - (-6)/(-18)*0. Factor 12/5*p**2 + 12/5*p**3 + 0 + 4/5*p + q*p**4.
4*p*(p + 1)**3/5
Factor 63*u**3 + 67*u**3 - 156*u - 136*u**2 - 36 + 27*u**2 - 25*u**4.
-(u - 3)**2*(5*u + 2)**2
Let t(s) be the second derivative of s**7/42 - s**5/10 + s**3/6 - 8*s. Find a such that t(a) = 0.
-1, 0, 1
Let p(w) be the second derivative of 5*w**7/147 - w**6/15 + w**5/35 - 15*w. Determine q, given that p(q) = 0.
0, 2/5, 1
Solve 3 - 2*u + 1/3*u**2 = 0 for u.
3
Let k(n) be the first derivative of -4*n**5/5 - n**4 + 8*n**3/3 + 8. Suppose k(j) = 0. What is j?
-2, 0, 1
Factor 4/3 + 13/3*u**2 - 2*u**3 + 1/3*u**4 - 4*u.
(u - 2)**2*(u - 1)**2/3
Let o(z) be the third derivative of -z**8/210 - 11*z**7/525 - 3*z**6/100 - z**5/150 + z**4/60 + 4*z**2. Factor o(b).
-2*b*(b + 1)**3*(4*b - 1)/5
Suppose 0 = -v + 4. Let z be 2/4 - v/(-24). Find d, given that 1/3 + z*d + 1/3*d**2 = 0.
-1
Let b be (0 + -3 + -2)*-1. Factor -3*j**b - 11*j + 8*j**3 + 4 + 7*j**5 + 8*j**2 - j - 12*j**4.
4*(j - 1)**4*(j + 1)
Let i(m) = 21*m**3 - 15*m**2 + 6*m. Let c(t) = -t**3 + 0*t**2 + 4*t**2 - 4*t**2. Let b(f) = 12*c(f) + i(f). Let b(u) = 0. Calculate u.
0, 2/3, 1
Solve -3*w**4 + 9*w**2 + 5*w**3 + 3*w**3 + w**3 - 3*w**3 = 0.
-1, 0, 3
Solve -q - 2/3 + 0*q**2 + 1/3*q**3 = 0.
-1, 2
Suppose 0*j + 7 = j. Suppose -4 = -j*u + 10. Factor 0 + 0*i - 1/2*i**u.
-i**2/2
Suppose -5*i = -8 - 2. Find c such that 2/7*c**i + 0*c + 0 - 2/7*c**3 = 0.
0, 1
Let x be (-1)/((-33)/(-60)) - -2. Factor -2/11*g + 2/11*g**2 + x*g**3 - 2/11.
2*(g - 1)*(g + 1)**2/11
Let l(t) = -t**2 - 4*t + 7. Let u be l(-5). Suppose -3*k = -0*k - u*c - 2, 0 = 5*k - 2*c - 6. Determine f, given that -2*f**k + 8/3*f - 2/3 = 0.
1/3, 1
Suppose -4*o - 3*c - 6 = 0, 4 + 4 = -2*o - 4*c. Factor -2/5*v**2 + 2/5 + o*v.
-2*(v - 1)*(v + 1)/5
Suppose -3*s - 30 = -2*x - x, 3*x - s - 30 = 0. Suppose 0 = 4*l + l - x. Find a, given that a + 2 + 0 + 5*a**2 - a**l - 5*a**2 = 0.
-1, 2
Let p(m) = -8*m**4 - 12*m**3 + 25*m**2 - 5*m. Let f(j) = -4*j**4 - 6*j**3 + 12*j**2 - 2*j. Let a(q) = 7*f(q) - 4*p(q). Factor a(x).
2*x*(x - 1)*(x + 3)*(2*x - 1)
Let w(g) be the second derivative of -1/21*g**7 + 0 - 9/40*g**5 + 1/12*g**3 - 1/24*g**4 - 11/60*g**6 - 4*g + 0*g**2. Determine r, given that w(r) = 0.
-1, 0, 1/4
Let d(t) be the first derivative of t**6/25 + 2*t**5/25 - t**4/15 - 4*t**3/15 - t**2/5 - 3*t + 1. Let q(y) be the first derivative of d(y). Solve q(u) = 0.
-1, -1/3, 1
Factor 1/5*b**2 + 1/5 - 2/5*b.
(b - 1)**2/5
Suppose 4 = 3*v - 2*s, 3*v + 5*s + 26 = s. Let a = v - -4. Factor 6*y**2 - y**2 - 5*y - 2*y**a + 2*y.
3*y*(y - 1)
Let s = -3 + 5. Let u(h) be the first derivative of -3/5*h**s - 1/5*h**3 - 3 + 0*h + 3/20*h**4. Factor u(n).
3*n*(n - 2)*(n + 1)/5
Let q(g) = -g**3 + 8*g**2 - 8*g + 10. Let x be q(7). Let a = -18 - -19. Factor -1 - x*s**2 + 3*s - a + s**3 + 1 + 0.
(s - 1)**3
Let -4/5*w**4 - 2/5*w + 4/5*w**2 + 0 + 2/5*w**5 + 0*w**3 = 0. What is w?
-1, 0, 1
Let s(u) be the third derivative of -u**5/40 - 3*u**4/16 - u**3/2 + 11*u**2. Factor s(j).
-3*(j + 1)*(j + 2)/2
Let f(l) be the first derivative of -3*l**4/4 - l**3 + 3*l**2/2 + 3*l - 6. Factor f(a).
-3*(a - 1)*(a + 1)**2
Let d = -25/9 + 179/45. Suppose 27/5*z**2 + 21/5*z + d + 3*z**3 + 3/5*z**4 = 0. Calculate z.
-2, -1
Let k = -13 - -17. Let -10*r**4 - 85*r + 12*r**k - 131*r - 24*r**3 + 162 + 108*r**2 = 0. Calculate r.
3
Suppose 2*g = -p - 4, 2*g + 3*g + 28 = 2*p. Let o(f) be the second derivative of 1/8*f**2 + 1/48*f**p - 1/12*f**3 - 3*f + 0. Determine s, given that o(s) = 0.
1
Let w(r) be the second derivative of r**6/15 + r**5/10 - r**4/6 - r**3/3 + 7*r. Find p such that w(p) = 0.
-1, 0, 1
Let w(a) = -a**3 - a**2 - 1. Let t(x) = -10*x**2 - 18*x - 6. Let s(r) = -t(r) - 2*w(r). Suppose s(j) = 0. What is j?
-4, -1
Suppose 0*x - 4*x = 0. Suppose x*t + t = 2. Factor g**t + 2*g + 0*g + g**2.
2*g*(g + 1)
Let 0*s - 5/2*s**2 + 10 = 0. What is s?
-2, 2
Factor 4/13*l**2 + 6/13*l - 4/13*l**3 - 6/13*l**4 + 2/13 - 2/13*l**5.
-2*(l - 1)*(l + 1)**4/13
Factor -34*y - 3*y**2 + 8 - 49*y**2 - 10*y.
-4*(y + 1)*(13*y - 2)
Let q(w) be the third derivative of w**5/30 + w**4/12 - 2*w**3/3 - 7*w**2. Factor q(k).
2*(k - 1)*(k + 2)
Suppose 0 - 1/3*o - 1/3*o**2 = 0. Calculate o.
-1, 0
Let c(n) be the second derivative of -n**6/108 - n**5/90 - n**3/3 + 4*n. Let b(k) be the second derivative of c(k). Suppose b(l) = 0. Calculate l.
-2/5, 0
Let x = -24 - -19. Let v be (0/(-2) - x) + -3. Factor 4/3*u**3 - 4/3*u + 2/3 + 0*u**v - 2/3*u**4.
-2*(u - 1)**3*(u + 1)/3
Let x(j) be the second derivative of -j**7/42 + j**6/30 + j**5/4 - j**4/12 - 4*j**3/3 - 2*j**2 + 7*j. Let x(r) = 0. Calculate r.
-1, 2
Let k(i) be the first derivative of -1/18*i**4 + 1/9*i**3 + 2/3*i**2 + 4 + 3*i. Let b(d) be the first derivative of k(d). Solve b(p) = 0 for p.
-1, 2
Let x(b) be the third derivative of -b**7/140 - 3*b**6/10 - 27*b**5/5 - 54*b**4 - 324*b**3 - b**2. Factor x(u).
-3*(u + 6)**4/2
Let d(s) be the first derivative of -1/5*s**2 + 1/5*s**3 + 1/10*s**4 + 4 - 3/25*s**5 + 0*s. Factor d(f).
-f*(f - 1)*(f + 1)*(3*f - 2)/5
Let d(w) be the third derivative of -w**5/60 + w**4/24 - w**3/6 + 4*w**2. Let i(f) = -3*f**2 + f - 2. Let c(u) = 2*d(u) - i(u). Factor c(n).
n*(n + 1)
Factor 5/2*c + 5/4*c**2 + 0.
5*c*(c + 2)/4
Factor -9/4*z**4 - 9/2*z**2 - 6*z**3 + 0*z + 3/4.
-3*(z + 1)**3*(3*z - 1)/4
Suppose 7 = 2*v + 3*x + 1, 4*x = -5*v + 22. Suppose -2*m = -5*m + v. Determine s, given that -6/5*s + 1/5 + 9/5*s**m = 0.
1/3
Let f(p) be the first derivative of p**6/3 + 4*p**5/5 - p**4/2 - 4*p**3/3 - 41. Factor f(b).
2*b**2*(b - 1)*(b + 1)*(b + 2)
Suppose -t = -4*g + 11, -4*g + 4*t = -0*t + 4. Determine v, given that g*v**2 + 0 - 5 + 5 = 0.
0
Suppose -2*l + 184 = 2*p, 3*l = 4*p + p + 260. Suppose 10*w - 5*w = l. Factor -18 + w - 4*s + 6*s**2.
2*s*(3*s - 2)
Let b(a) be the first derivative of 2*a**3/39 + a**2/13 + 3. Solve b(p) = 0.
-1, 0
Let i = 44229 + -12914933/292. Let w = 2/73 - i. Determine r so that w + 1/2*r + 1/4*r**2 = 0.
-1
Suppose -3*c = -4*c + 4. Find i such that -6*i**2 - c*i - 6*i + 7*i = 0.
-1/2, 0
Factor i**5 - 2*i - 1 - 44*i**3 + 42*i**3 - i**4 + 2*i**2 + 3*i.
(i - 1)**3*(i + 1)**2
Let r(t) = t + 1. Let m be r(-3). Let u be 1/m*1*-4. Let 4*a**3 + 3*a**u - 2*a - a**3 - 2*a**3 - 2*a**3 = 0. What is a?
0, 1, 2
Let t(u) = u**3 + 8*u**2 + 7*u + 10. Let h be t(-7). Let p be (2/(-1*h)