etermine t, given that -11 - 3*t**3 - 15*t**2 + 11 - 24*t - 12 = 0.
-2, -1
Let f be ((-9)/(-9) + 3)*1/2. Solve -2/13*q**3 + 0*q**f + 0 + 2/13*q = 0.
-1, 0, 1
Let r(a) be the third derivative of a**7/3150 + a**6/1200 - a**5/600 - a**4/6 - a**2. Let m(p) be the second derivative of r(p). Factor m(k).
(k + 1)*(4*k - 1)/5
Let z(o) = o**2 + 1. Suppose 3*m + m = 0. Let j be z(m). Determine c so that -1 - 12*c + 13*c**2 + 35*c**2 - 64*c**3 + 3 - j = 0.
1/4
Let r(a) = -12*a + 38. Let j be r(3). Suppose -4/11 - 8/11*i**j + 2/11*i**3 + 10/11*i = 0. What is i?
1, 2
Let -2 + 1/2*r**2 + 0*r = 0. What is r?
-2, 2
Let n = 10 + -8. Let m(a) be the third derivative of -1/60*a**6 + 0*a**5 + 2*a**n + 0*a**3 + 0*a + 0 + 1/12*a**4. Find f, given that m(f) = 0.
-1, 0, 1
Find z such that z + 0 + 1/2*z**2 = 0.
-2, 0
Let i(j) be the third derivative of -j**8/960 + j**7/336 + j**6/120 + 7*j**5/60 - 3*j**2. Let l(q) be the third derivative of i(q). Let l(r) = 0. What is r?
-2/7, 1
Let h(l) = 4*l - 6 + 3*l**4 + l**2 - 10*l + 9*l**3 - 3*l**3 - 4*l**2. Let y(w) = w**4 - w - 1. Let i(v) = -h(v) + 6*y(v). Factor i(t).
3*t**2*(t - 1)**2
Suppose 3*x**3 + 3*x**2 - 4*x**3 - 101*x + 99*x = 0. What is x?
0, 1, 2
Let l(n) be the second derivative of 0*n**2 + 4*n + 1/27*n**3 - 1/54*n**4 + 0. Factor l(q).
-2*q*(q - 1)/9
Suppose 0 = -0*y - y + 15. Let q be ((-4)/5)/((-54)/y). Factor 2/9 + 4/9*p + q*p**2.
2*(p + 1)**2/9
Let d(b) be the third derivative of 0 - 1/12*b**3 + 0*b + 3*b**2 + 1/120*b**5 - 1/32*b**4. Factor d(y).
(y - 2)*(2*y + 1)/4
Let c(x) = 13*x**2 + 3*x + 4. Let w(f) = -66*f**2 - 15*f - 21. Let v(k) = 21*c(k) + 4*w(k). Factor v(y).
3*y*(3*y + 1)
Let y(u) be the first derivative of -u**4/10 + 3*u**2/5 - 4*u/5 - 31. Factor y(t).
-2*(t - 1)**2*(t + 2)/5
Let t(n) be the second derivative of 2*n**7/189 + 2*n**6/135 - 2*n**5/45 - 2*n**4/27 + 2*n**3/27 + 2*n**2/9 + 39*n. Factor t(f).
4*(f - 1)**2*(f + 1)**3/9
Find s such that 2/13*s + 8/13*s**2 + 0 = 0.
-1/4, 0
Let o(d) be the first derivative of 1/12*d**4 + 0*d**2 + 1/3*d**3 + 8 - 4/3*d. Factor o(v).
(v - 1)*(v + 2)**2/3
Let d = -147 - -148. Let w = -4/9 + 17/18. Let 3/2*z + d + w*z**2 = 0. Calculate z.
-2, -1
Let z(i) be the first derivative of -i**6/660 - i**5/110 - i**4/44 - i**3/33 + 9*i**2/2 - 10. Let w(s) be the second derivative of z(s). Factor w(x).
-2*(x + 1)**3/11
Let d be (-2)/(-2) - (-236)/(-240). Let h(i) be the third derivative of 1/12*i**4 + 0*i - i**2 + 0 - d*i**5 - 1/6*i**3. Factor h(l).
-(l - 1)**2
Let n be (-5)/(10/(-24)) + 2. Let w be (-1)/2 + 147/n. Factor 1/4 + 5/2*i + 33/4*i**2 + 4*i**4 + w*i**3.
(i + 1)**2*(4*i + 1)**2/4
Let w(h) be the first derivative of -3*h**4/10 + 16*h**3/15 - 3*h**2/5 - 4*h/5 - 38. Find i such that w(i) = 0.
-1/3, 1, 2
Let o(f) = f + 3. Let z be o(0). Let r = 203/1177 + 1/107. Factor -4/11*c + 0 - r*c**2 + 2/11*c**z.
2*c*(c - 2)*(c + 1)/11
Let q(g) be the third derivative of -g**8/112 - g**7/70 + 3*g**6/40 + g**5/20 - g**4/4 + 9*g**2. Suppose q(x) = 0. What is x?
-2, -1, 0, 1
Find f such that 4/3*f + 21*f**2 - 4/3 = 0.
-2/7, 2/9
Let d(t) be the second derivative of 0*t**4 + 2*t + 1/42*t**7 + 0*t**6 + 0*t**2 + 0*t**5 + 0 + 0*t**3. Find j such that d(j) = 0.
0
Suppose c**3 - c + 0 + 1/2*c**2 - 1/2*c**4 = 0. What is c?
-1, 0, 1, 2
Suppose 6 = 2*z - 0. Factor -11*p**2 + p - z*p + 13*p**2.
2*p*(p - 1)
Let a = 7 - 7. Let q be 3/((9/2)/3). Factor 7*h**3 + 8*h**3 + 4*h**5 - 6*h**2 - h**q + a*h**5 - 13*h**4 + h.
h*(h - 1)**3*(4*h - 1)
Suppose -3*h + 2 + 4 = 0. Let n = -2 - -5. Factor 6*d + d**h - 6*d - d**n.
-d**2*(d - 1)
Suppose -10*r = -12*r + 8. Factor 4*x + 7*x**r - 3*x**3 - 15*x**4 + 8*x**2 - x**3.
-4*x*(x - 1)*(x + 1)*(2*x + 1)
Let i(g) be the first derivative of -g**3/21 + g**2/7 - g/7 - 20. Factor i(d).
-(d - 1)**2/7
Let f(r) = r**3 - 7*r**2 + 4*r + 6. Let x(h) = -h**3 + 6*h**2 - 3*h - 5. Let a be -3*(-2)/(-18)*-15. Let k(i) = a*f(i) + 6*x(i). Solve k(c) = 0 for c.
-1, 0, 2
Let b be 9/5*30/9. Let k(w) be the first derivative of -1 + 2/3*w + 2/15*w**5 + 1/9*w**b - 4/9*w**3 - 1/3*w**4 + 1/3*w**2. Find a such that k(a) = 0.
-1, 1
Solve 4/5 + 1/10*p**2 - 3/5*p = 0 for p.
2, 4
Let y(k) be the third derivative of 0 + 0*k + 1/55*k**5 - 1/11*k**4 + k**2 - 1/660*k**6 + 8/33*k**3. Factor y(b).
-2*(b - 2)**3/11
Let c(p) = 8*p**3 + 23*p**2 + 6*p - 9. Let b(d) = -d**3 - d**2. Let l(v) = -2*b(v) - c(v). Determine g, given that l(g) = 0.
-3, -1, 1/2
Let x be 4 + (0 - (-1 - -5)). Factor f**2 - 1/2*f + 1/2*f**5 + x + 0*f**3 - f**4.
f*(f - 1)**3*(f + 1)/2
Let s(a) = 21*a**3 + 10*a**2 - 4. Let b(g) = 125*g**3 + 60*g**2 - 25. Let q(d) = 4*b(d) - 25*s(d). Factor q(t).
-5*t**2*(5*t + 2)
Let s = 7 + -5. Suppose -5*b + a = -10*b, b + 5*a = 0. Determine w so that b*w**2 + 2*w**s - 3*w + w = 0.
0, 1
Let h(u) be the second derivative of 5*u**7/21 - 5*u**6/6 - u**5/4 + 35*u**4/12 - 5*u**3/6 - 5*u**2 - 7*u. Suppose h(v) = 0. What is v?
-1, -1/2, 1, 2
Let i(r) be the third derivative of -r**10/37800 + r**9/15120 + r**5/60 - 5*r**2. Let m(l) be the third derivative of i(l). Solve m(x) = 0 for x.
0, 1
Let p be ((-3)/2)/3*(-4)/9. Let h be (-2)/(-90) + 2/10. Factor -h*o - p*o**2 + 4/9.
-2*(o - 1)*(o + 2)/9
Let f(t) be the second derivative of -3*t + 0*t**2 + 1/48*t**4 + 0*t**3 + 0. Determine k so that f(k) = 0.
0
Let x = 2/803 + 323/192720. Let y(v) be the third derivative of 0*v + 0*v**4 + 0*v**3 + 0 - v**2 + 1/480*v**6 + x*v**5. Find t such that y(t) = 0.
-1, 0
Suppose -30 = -9*x + 6. Factor 0 + 3/2*b**3 + 1/2*b**x + 1/2*b + 3/2*b**2.
b*(b + 1)**3/2
Let g(k) be the second derivative of -1/55*k**5 + 4/33*k**4 - 3/55*k**6 + 2/11*k**3 + 0 + 1/11*k**2 - 4/231*k**7 - k. Suppose g(n) = 0. Calculate n.
-1, -1/4, 1
Factor 5 + 23*y**3 - 5 - 8*y**3 - 10*y**2 - 5*y**4.
-5*y**2*(y - 2)*(y - 1)
Let g = -1/241 - -489/1687. Factor -4/7*v**2 + g*v**5 + 0 + 4/7*v**4 + 0*v**3 - 2/7*v.
2*v*(v - 1)*(v + 1)**3/7
Let x = 37 - 37. Let d(a) be the second derivative of -1/18*a**4 + 0 - 1/9*a**3 + x*a**2 - 3*a. Factor d(i).
-2*i*(i + 1)/3
Let w(b) be the third derivative of b**2 - 1/27*b**3 - 1/30*b**5 + 0 + 1/18*b**4 + 0*b. Solve w(i) = 0 for i.
1/3
Let l(b) = 1. Let t(s) = -s**2 + 2. Suppose 16 = -3*w + 5*a, -w + a = 2*a. Let u(x) = w*t(x) + 4*l(x). Suppose u(v) = 0. Calculate v.
0
Suppose 5*m + 3*z - 1 = -13, 4*m + z = -4. Let h be (0 - m) + (-3)/(-1). Factor -2/3*b**5 + 2*b + 2*b**4 - 2/3 - 4/3*b**2 - 4/3*b**h.
-2*(b - 1)**4*(b + 1)/3
Factor 17*a**2 - 13*a**2 - 6 - 2*a**2 + 8*a - 4*a**2.
-2*(a - 3)*(a - 1)
Let a(j) = 9*j**3 - 33*j**2 - 33*j - 9. Let o(n) = 5*n**3 - 16*n**2 - 16*n - 4. Let w(h) = 4*a(h) - 9*o(h). Factor w(m).
-3*m*(m - 2)*(3*m + 2)
Let y(r) = -r**3 - 10*r**2 - r - 10. Suppose -40 = -5*p + 9*p. Let v be y(p). Determine i, given that 2*i**5 - 11/2*i**4 + 9/2*i**3 + v - 1/2*i - 1/2*i**2 = 0.
-1/4, 0, 1
Let i(u) = 14*u**5 + 19*u**4 + 6*u**3 - 5*u**2 + 2. Let b(y) = -y**5 + y**4 + y**2 - 1. Let n(a) = 2*b(a) + i(a). Find d, given that n(d) = 0.
-1, 0, 1/4
Factor -6/5*c**2 - 6/5*c**3 - 2/5*c**4 - 2/5*c + 0.
-2*c*(c + 1)**3/5
Determine h so that 0*h + 0*h**2 + 0 - 2/21*h**5 - 4/7*h**4 - 6/7*h**3 = 0.
-3, 0
Let u = -16/19 - -194/95. Factor 6/5*h**2 + 2/5*h**4 + 0 + 2/5*h + u*h**3.
2*h*(h + 1)**3/5
Factor -1/5*j**4 - 1/5*j**3 + 0*j + 2/5*j**2 + 0.
-j**2*(j - 1)*(j + 2)/5
Suppose -2*d + 9 = 1. Let u(k) = -k**3 + 2*k**2 + 2*k + 1. Let f be u(-1). Factor 0*y**2 - d*y**2 + 7*y**4 + f*y**3 - 3*y**2 - 2*y.
y*(y - 1)*(y + 1)*(7*y + 2)
Suppose -10 + 37 - 15*k**2 + k + 8*k + 3*k**3 = 0. Calculate k.
-1, 3
Let s be 2 + (-10)/4 - (-11)/14. Factor -4/7*q - 2/7*q**2 - s.
-2*(q + 1)**2/7
Let g(j) be the third derivative of 7*j**6/160 + j**5/16 - j**4/16 + 7*j**2. Suppose g(d) = 0. Calculate d.
-1, 0, 2/7
Let g(a) be the first derivative of -a**3/3 + 3*a**2 - 8*a - 24. Factor g(r).
-(r - 4)*(r - 2)
Let t(i) = 3*i**2 - i. Let f be t(1). Let v = -391/4 - -98. Let -v*k**3 + 1/2*k**f + 0*k + 0 = 0. What is k?
0, 2
Suppose 338 = 3*f + 329. Let -2/13*i**4 + 0 - 4/13*i**f - 2/13*i**2 + 0*i = 0. Calculate i.
-1, 0
Let t(h) be the first derivative of -h**6/27 + 22*h**5/45 - 3*h**4/2 + 50*h**3/27 - 8*h**2/9 + 23. Factor t(i).
-2*i*(i - 8)*(i - 1)**3/9
Let t(q) be the third derivative of -q**8/48 + 19*q**7/210 - q**6/8 + q**5/60 + q**4/12 + 3*q**2. L