x**5/14 - x**4/7 + 32*x**3/21 + 32*x**2/7 + 81*x + 2. Solve l(f) = 0.
-2, -1, 4
Let f(g) = -7*g**2 + 39*g + 40. Let h(a) = -10*a**2 + 39*a + 40. Let t(u) = 3*f(u) - 2*h(u). Factor t(y).
-(y - 40)*(y + 1)
Let y(c) be the first derivative of c**5/5 + c**4/3 - 2*c**3/9 - 2*c**2/3 - c/3 + 53. Let y(x) = 0. What is x?
-1, -1/3, 1
Suppose b + 2 = -2*i, 14*i - 11*i = 4*b - 25. Let p(n) be the third derivative of 1/12*n**5 + 0*n + 5/6*n**3 + 5/12*n**b - 9*n**2 + 0. What is w in p(w) = 0?
-1
Let p(m) be the third derivative of 0*m**3 + 0*m + 1/40*m**6 + 13*m**2 - 1/10*m**5 + 1/8*m**4 + 0. Solve p(f) = 0 for f.
0, 1
Determine b so that -5*b**4 - 6*b**2 + 1 - 5*b**5 + 7*b**3 - 1 + 6*b**5 + 3*b**2 = 0.
0, 1, 3
Suppose -207*n**2 - 533 + 209 + 9*n**3 + 2*n**3 + 513*n + 3*n**4 + 4*n**3 = 0. What is n?
-12, 1, 3
Let q(g) be the first derivative of g**6/5 + 4*g**5/5 + g**4/2 - 2*g**3/3 + 11*g - 4. Let y(w) be the first derivative of q(w). Solve y(h) = 0.
-2, -1, 0, 1/3
What is x in 0 + 4/11*x**2 - 1/11*x**3 - 3/11*x = 0?
0, 1, 3
Let z(q) be the second derivative of 1/56*q**7 + 0 + 0*q**6 - 3/20*q**5 + 3/8*q**3 - 1/8*q**4 - q + 3/4*q**2. Factor z(f).
3*(f - 2)*(f - 1)*(f + 1)**3/4
Let b(h) = 5*h - 11. Let s be b(4). Solve 2*t**3 + 11*t + t**3 + 7*t**2 - 2*t**3 + 4*t + s = 0.
-3, -1
Let d(j) = -j**2 - 10*j + 2. Let b be d(-10). Factor 6*s**3 - 2*s**3 - 174*s**b - 4*s**4 + 178*s**2 - 4*s.
-4*s*(s - 1)**2*(s + 1)
Let l(d) be the second derivative of 1/6*d**4 + 4*d**2 - 4*d**3 + 6/5*d**5 + 33*d + 0 - 1/3*d**6. Let l(r) = 0. What is r?
-1, 2/5, 1, 2
Let x = 98 + -95. Factor 3*g - 13*g - x*g**2 + 24 + 4*g.
-3*(g - 2)*(g + 4)
Suppose -36*w + 196 = 16. Let s(r) be the second derivative of r + 0 + 0*r**4 + 1/50*r**w + 0*r**2 - 1/15*r**3. Solve s(h) = 0 for h.
-1, 0, 1
Let u = -1629 - -1631. Let 1/9*l**3 + 0*l + 2/9*l**u + 0 = 0. Calculate l.
-2, 0
Find u, given that -578/13 - 2/13*u**2 - 68/13*u = 0.
-17
Let o be 1 + ((-2)/(-5))/((-6)/(-45)). Let k(g) be the third derivative of 1/2*g**3 + 0 + 0*g + 1/40*g**6 - 13*g**2 - 1/8*g**o - 1/20*g**5. Factor k(f).
3*(f - 1)**2*(f + 1)
Let t be (-2)/(-10 + (-156)/(-18)). What is b in -3/4*b + t - 3/2*b**2 + 3/4*b**3 = 0?
-1, 1, 2
Let y(c) be the first derivative of -15 + 8/3*c**3 - 2*c**2 - 8/5*c**5 + 0*c + 0*c**4 + 2/3*c**6. Factor y(t).
4*t*(t - 1)**3*(t + 1)
Let a(s) be the third derivative of -s**7/42 + 35*s**6/12 - 1357*s**5/12 + 1925*s**4/2 - 3630*s**3 + 32*s**2 + 2*s. Factor a(d).
-5*(d - 33)**2*(d - 2)**2
Let v(f) be the third derivative of -f**6/540 - f**3 - 9*f**2. Let c(x) be the first derivative of v(x). Factor c(r).
-2*r**2/3
Let h(u) be the second derivative of 11*u - 1/15*u**5 + 0 + 8/27*u**3 - 2/27*u**4 + 0*u**2 + 1/27*u**6 - 1/189*u**7. Factor h(a).
-2*a*(a - 2)**3*(a + 1)/9
Suppose 0 = -4*c + 2 + 14. Let z(i) be the first derivative of -2/27*i**3 - 1/9*i**2 + 4/9*i - c. Factor z(n).
-2*(n - 1)*(n + 2)/9
Let j be (-8)/3*(-3)/2. Let n(s) = -7*s**3 + s**2 - 2*s - 4. Let x be n(-1). Suppose 3*p**5 + 2*p**5 - x*p**5 + 5*p**4 - j*p**4 = 0. What is p?
0, 1
Let k(t) be the third derivative of -t**6/420 + 31*t**4/84 + 10*t**3/7 + 404*t**2. Factor k(i).
-2*(i - 6)*(i + 1)*(i + 5)/7
Let r(i) be the second derivative of -3*i**5/160 - 207*i**4/32 - 663*i**3 + 2028*i**2 - 143*i. Factor r(l).
-3*(l - 1)*(l + 104)**2/8
Let m(k) = -k**3 + 2*k**2 + 2*k. Let j(g) = g**3 - 6*g**2 - 4*g. Let v(s) = 2*j(s) + 6*m(s). Factor v(l).
-4*l*(l - 1)*(l + 1)
Suppose -v + t - 6 = -3, -3*t = 3*v - 21. Let q(g) be the first derivative of -5 + 2/7*g - 2/7*g**3 + 2/7*g**v. Suppose q(b) = 0. What is b?
-1/3, 1
Solve -852*j + 120984 + 3/2*j**2 = 0.
284
Factor 90/17*a**2 - 8/17 + 176/17*a.
2*(a + 2)*(45*a - 2)/17
Suppose 1 = -b + p + p, 5*b + 5 = 3*p. Let v(h) = -3*h**3 + 4*h**2 - 2*h. Let q(s) = -4*s**2 + 2*s**2 + s**2. Let o(c) = b*q(c) + v(c). Factor o(l).
-l*(l - 1)*(3*l - 2)
Let x be -24*(-23)/92*6/8. Factor 15/4*s + 9/4*s**3 - x*s**2 - 3/8*s**4 - 9/8.
-3*(s - 3)*(s - 1)**3/8
Suppose 72 - 8 = 16*d. Factor -2*h**3 + 2*h**d + 2/3*h**2 + 0 - 2/3*h**5 + 0*h.
-2*h**2*(h - 1)**3/3
Let f = -73 + 38. Let q = f + 35. Find a such that q + 1/2*a**2 - 1/2*a = 0.
0, 1
What is o in -8*o**5 + 34*o + 6*o**5 - 5*o**3 + 4 + 28*o**2 + 5*o**3 + 8 - 8*o**4 = 0?
-3, -1, 2
Let x = -1057 - -1059. Factor 3/5*k**4 - 3*k - 21/5*k**3 + 33/5*k**x + 0.
3*k*(k - 5)*(k - 1)**2/5
Let q(m) be the first derivative of -m**4 - 20*m**3/3 - 8*m**2 + 137. Determine j, given that q(j) = 0.
-4, -1, 0
Find j, given that 2/11*j**4 - 2/11*j**2 - 2/11*j**5 + 0 - 4/11*j + 6/11*j**3 = 0.
-1, 0, 1, 2
Let n(l) be the second derivative of -5/6*l**4 + 0 + 9*l - 2/3*l**3 - 1/5*l**5 + 0*l**2. Solve n(w) = 0 for w.
-2, -1/2, 0
Let s = 14018 + -14016. Factor 2/13*q**s + 40/13*q + 200/13.
2*(q + 10)**2/13
Suppose 0 = -5*m - w - 61, -m + 2*w = 2*m + 34. Let l be (-2)/(-6) - 176/m. Factor -5*x**2 + 3*x**4 + 2*x**2 + 15*x - l*x.
3*x**2*(x - 1)*(x + 1)
Let m(d) be the second derivative of 1/120*d**5 - 1/36*d**3 + 0*d**2 + 0*d**4 - 7*d + 0. Factor m(s).
s*(s - 1)*(s + 1)/6
Suppose t - 56 = 2*g, -4*t + 104 = -5*g + g. Let j be ((-5)/2)/(5/g). What is r in 5 + 5*r**3 + j*r**2 + 13*r - 8*r + 10*r = 0?
-1
Let g be 75/(-90) - (-1 - (-1 - -2)). Factor g*z**3 - 5/6*z**2 - 2/3 - 8/3*z.
(z - 2)*(z + 1)*(7*z + 2)/6
Determine w, given that 536*w**4 + 530*w**4 - 27*w**2 - 1063*w**4 + 3*w**3 - 27*w = 0.
-3, -1, 0, 3
Suppose -5*h - u = -16, -2*h = 2*u - 6*u - 2. Factor -2*q**3 + 2*q + h*q**2 - 7*q**2 - q**2 + q**2 + 4.
-2*(q - 1)*(q + 1)*(q + 2)
Let p = 3/950 + 377/950. Factor -7/5*z - p*z**2 + 1/5*z**3 - 4/5.
(z - 4)*(z + 1)**2/5
Let i(w) be the second derivative of w**4/42 + w**3/3 + 12*w**2/7 + 7*w. Let i(l) = 0. What is l?
-4, -3
Find j such that 1682/3 + 1/6*j**2 - 58/3*j = 0.
58
Let c(j) be the third derivative of 2*j**7/105 + 7*j**6/30 + 2*j**5/15 - 32*j**4/3 - 64*j**3 + 233*j**2. Find v such that c(v) = 0.
-4, -2, 3
Let r = 2919/1942 + -3/971. Suppose -7/2*f**2 - 2*f - r*f**4 + 7*f**3 + 0 = 0. What is f?
-1/3, 0, 1, 4
Let u(d) = -2*d**2 - 7*d - 14. Let i(l) = -l**2 + l - 1. Let z(a) = 12*i(a) - 4*u(a). What is g in z(g) = 0?
-1, 11
Let t(r) be the first derivative of -1/6*r**3 + 23 + 1/4*r**2 - 1/8*r**4 + 1/2*r. Factor t(k).
-(k - 1)*(k + 1)**2/2
Let f(p) = p**3 + 35*p**2 + 217*p + 27. Let x be f(-27). Factor 0 + 1/2*u + x*u**3 - 1/4*u**4 + 3/4*u**2.
-u*(u - 2)*(u + 1)**2/4
Let o(k) be the first derivative of 4*k**3/3 - 108*k**2 + 2916*k + 72. Find m such that o(m) = 0.
27
Suppose -11*n - 156 = -15*n. Find x, given that 4*x**3 + n*x**2 - 4*x - 39*x**2 = 0.
-1, 0, 1
Factor -2/11*y**2 - 4/11*y**3 + 4/11*y + 0 + 2/11*y**4.
2*y*(y - 2)*(y - 1)*(y + 1)/11
Let i(o) be the second derivative of 1/210*o**5 + 0*o**2 - 1/42*o**4 + 2 + 2/63*o**3 - o. Factor i(m).
2*m*(m - 2)*(m - 1)/21
Let v = 375573/1645 - -296/235. Let k = 230 - v. Let -2/7*o + 1/7*o**2 - k = 0. Calculate o.
-1, 3
What is u in -8/7*u**4 - 18/7*u**3 + 8*u + 64/7*u**2 - 96/7 + 2/7*u**5 = 0?
-2, 1, 3, 4
Let r be (-1)/(-6) - (-1382)/6. Let q = 231 - r. Find m such that q*m + 0 + 1/2*m**3 + m**2 = 0.
-1, 0
Let a(z) be the second derivative of 0*z**2 + 0 + 1/18*z**4 + 0*z**3 + 3*z. Solve a(i) = 0.
0
What is s in 58*s**3 - 102*s**3 - 13*s**2 + 58*s**2 + 20 + 99*s**3 - 120*s = 0?
-2, 2/11, 1
Suppose 5 = 5*t - w, 44*w - 40*w - 20 = 0. Factor 0 + 0*v - 1/2*v**t.
-v**2/2
Let p(g) = -g**2 + g + 2. Let v be p(0). Suppose -o = -5*a - 36 + 13, 4*o + 3*a = 0. Find t such that -o*t**4 - t**4 - t**v + 5*t**4 = 0.
-1, 0, 1
Determine w, given that -4/3*w**2 + 0 - 5/3*w**3 + 1/3*w = 0.
-1, 0, 1/5
Let y(k) be the third derivative of -k**8/13440 - k**7/3360 + 5*k**5/12 - 13*k**2. Let m(x) be the third derivative of y(x). Suppose m(o) = 0. Calculate o.
-1, 0
Let w(q) be the first derivative of 40 + 1/9*q**4 - 4*q**3 + 54*q**2 - 324*q. Factor w(d).
4*(d - 9)**3/9
Let x be ((-18)/30)/(2144/280 - 8). Let 3/2 + 1/4*t**2 + x*t = 0. Calculate t.
-6, -1
Suppose -4*r + 15 = -3*i, 0*r - 5*i = 4*r - 7. Determine s so that -11/3*s**2 + 0 - 2*s - 4/3*s**r + 1/3*s**4 = 0.
-1, 0, 6
Let u = 75721/3 + -25227. Factor -u - 20*t - 5/6*t**3 - 15/2*t**2.
-5*(t + 1)*(t + 4)**2/6
Let t(w) = -w**3 + 24*w**2 - 45*w + 48. Let l be t(22). Suppose -28*n = 5*r - l*n - 2, -5*r = 3*n + 2. Factor 3/2*q**2 