, -1, 1
Factor -10/9*h - 2/3*h**3 + 1/9*h**4 + 1/3 + 4/3*h**2.
(h - 3)*(h - 1)**3/9
Let r be 4 - (-5 - -7)/(230/391). Factor 0 - r*g**2 - 3/5*g.
-3*g*(g + 1)/5
Factor -4/3*h**4 + 0*h + 0*h**2 - 4/3*h**3 + 0.
-4*h**3*(h + 1)/3
Let d be 6*((-3)/(-2) - 0). Let b be 0 + (14/4 - (-2)/(-4)). Factor d*h - b*h**3 - 11*h + 5*h.
-3*h*(h - 1)*(h + 1)
Let k(w) = -w + 1. Let z(m) = 3*m**3 - 18*m**2 + 20*m - 5. Let b(d) = 5*k(d) + z(d). Let b(i) = 0. What is i?
0, 1, 5
Suppose 5*g - d - 8 = 9, 0 = 3*g + 2*d - 5. Let j = g - -9. Factor 36 - 18 + 21*l + 15*l**3 - j + 3*l**4 + 27*l**2.
3*(l + 1)**3*(l + 2)
Let t(h) be the second derivative of -h**7/252 + 2*h**6/45 - h**5/10 - h**4/36 + 13*h**3/36 - h**2/2 + 171*h. Solve t(b) = 0.
-1, 1, 6
Let f(r) be the second derivative of 1/40*r**6 + 1/48*r**4 + 0*r**3 + 14*r - 3/80*r**5 + 0 - 1/168*r**7 + 0*r**2. Factor f(z).
-z**2*(z - 1)**3/4
Let n(s) be the first derivative of s**5 - 25*s**4/4 + 15*s**3 - 35*s**2/2 + 10*s - 480. Let n(r) = 0. What is r?
1, 2
Let u(f) be the third derivative of 0*f + 0 - 19*f**2 + 2*f**3 + 1/30*f**5 - 5/12*f**4. Determine v so that u(v) = 0.
2, 3
Factor 1/6*k**5 + 3/2*k**3 - 5/6*k**4 + 1/3*k + 0 - 7/6*k**2.
k*(k - 2)*(k - 1)**3/6
Let t(y) be the first derivative of y**3/6 + 17*y**2/4 - 30*y - 621. Factor t(r).
(r - 3)*(r + 20)/2
Let h = 102 - 1223/12. Let m(z) be the first derivative of 5/6*z**2 - 4/9*z**3 - 2/3*z + h*z**4 + 2. Factor m(j).
(j - 2)*(j - 1)**2/3
Let k(l) be the second derivative of -121*l**5/100 + 77*l**4/60 + 4*l**3/3 + 2*l**2/5 - 3*l - 1. Find i, given that k(i) = 0.
-2/11, 1
Let i(q) be the first derivative of 3/8*q**4 + q**3 - 3/10*q**5 + 0*q**2 - 12 + 0*q. Let i(o) = 0. What is o?
-1, 0, 2
Let g = -81 + 96. Let o be 35/21*(51/g + -3). Factor 1/3*c**3 - c**2 + o*c + 0.
c*(c - 2)*(c - 1)/3
Suppose 0 = 912*l - 948*l + 81 + 27. Let 7/4*r**2 - r**l + 1/2*r + 0 = 0. Calculate r.
-1/4, 0, 2
Factor 5 + t**4 - 22*t**3 - 26*t + 2*t**4 + 1509*t**2 - 1469*t**2.
(t - 5)*(t - 1)**2*(3*t - 1)
Let v(n) be the second derivative of -5*n**4/12 + 35*n**3/6 - 18*n. Solve v(q) = 0.
0, 7
Let u(v) be the first derivative of 2*v**3/3 + 238*v**2 + 28322*v + 353. Find s, given that u(s) = 0.
-119
Let f be 82/225 - (4214/(-175) + 24). Factor -2/9 - 2/9*o**5 + 4/9*o**2 + f*o**3 - 2/9*o - 2/9*o**4.
-2*(o - 1)**2*(o + 1)**3/9
Let l(x) be the second derivative of 3/7*x**3 + 15/14*x**2 + 1/28*x**4 + 0 - 13*x. What is w in l(w) = 0?
-5, -1
Let c(t) be the second derivative of -t**6/45 + t**5/15 + t**4/18 - 2*t**3/9 - 9*t. Let c(i) = 0. What is i?
-1, 0, 1, 2
Let i(o) be the second derivative of 1/4*o**4 + 0*o**3 + 10*o - 1/20*o**5 + 0 - 2*o**2. Suppose i(k) = 0. Calculate k.
-1, 2
Let n(a) be the third derivative of -a**8/504 - 2*a**7/105 + a**6/60 + 8*a**5/45 - a**4/3 - 112*a**2. Find h, given that n(h) = 0.
-6, -2, 0, 1
Let i(a) = -a**2 + 8*a - 11. Let x be i(7). Let l be -2 + (-12)/(-5) + x/(-15). Factor -l + 1/3*z + 1/3*z**2.
(z - 1)*(z + 2)/3
Let j(o) be the second derivative of -1/168*o**7 - 1/30*o**6 - 3/8*o**3 + 0 + 0*o**2 + 1/40*o**5 + 1/4*o**4 - 7*o. Factor j(d).
-d*(d - 1)**2*(d + 3)**2/4
Factor -3*p + 11/4*p**2 - 3/4*p**3 + 1.
-(p - 2)*(p - 1)*(3*p - 2)/4
Let i(d) be the first derivative of 3*d**4 + 428*d**3/3 + 1872*d**2 - 1296*d - 57. Let i(y) = 0. Calculate y.
-18, 1/3
Let -2*i**2 + 0*i**2 + 3*i**3 - 95*i + 28*i**2 - 4*i**3 + 47 + 23*i**2 = 0. Calculate i.
1, 47
Let b(v) = v - 1. Let k(z) = -4*z**2 - 27*z - 29. Let d(i) = -3*b(i) - k(i). Factor d(a).
4*(a + 2)*(a + 4)
Suppose 10*x + 31*x + 10*x = -16*x. Factor -4/3*q**2 - 4/3*q**3 + x + 8/3*q.
-4*q*(q - 1)*(q + 2)/3
Let t(g) be the third derivative of g**6/300 + g**5/25 - g**4/4 + 8*g**3/15 - 4*g**2 + 20*g. Factor t(z).
2*(z - 1)**2*(z + 8)/5
Suppose -98*f + 162*f - 76*f = -36. Find j such that 0 - 2/23*j**4 + 0*j + 2/23*j**5 + 0*j**2 + 0*j**f = 0.
0, 1
Let g be 9 + -6*3/3. Solve -60/7*v**g + 0*v + 12/7*v**2 + 0 + 75/7*v**4 = 0 for v.
0, 2/5
Let c(v) = -3*v + 17. Let h be c(14). Let u = -22 - h. Factor -4 - 7*j + 4*j**2 + j**3 - 6*j**3 + 11*j + j**u.
-4*(j - 1)**2*(j + 1)
Let f be (216/63)/((52/(-182))/((-2)/14)). Suppose -3/7*w**5 + f*w**2 - 3/7*w + 12/7*w**4 + 0 - 18/7*w**3 = 0. What is w?
0, 1
Solve 0 - 11/4*h**2 - 43/8*h**3 - 5/8*h**4 + 2*h = 0 for h.
-8, -1, 0, 2/5
Let l = -1 - -3. Let f(t) = 2*t**2 - 15. Let g be f(3). Factor -23*i + g*i**2 + 11*i + i**l.
4*i*(i - 3)
Let b(q) be the third derivative of -q**7/1260 + 7*q**6/720 - q**5/24 + 13*q**4/144 - q**3/9 + 4*q**2. Suppose b(x) = 0. Calculate x.
1, 4
Let i(a) = -a**3 - a**2 - 1. Let c(x) = 2 - 5*x**3 - 6 + 13*x**3 + 10. Let t(v) = -c(v) - 6*i(v). Suppose t(s) = 0. Calculate s.
0, 3
Suppose 15 = -x + 20. Factor -x*u + 17*u + 4*u**3 - 12*u**2 - 2 - 5 + 3.
4*(u - 1)**3
Let a(x) be the second derivative of -x**6/1260 - x**5/420 + x**4/42 - 7*x**3/3 + 3*x. Let u(f) be the second derivative of a(f). Find j such that u(j) = 0.
-2, 1
Let p(w) = -8*w**2 - 38*w + 68. Let s(b) = -b**2 - b + 2. Let l(d) = -p(d) + 10*s(d). Suppose l(u) = 0. What is u?
2, 12
Let z(h) be the first derivative of h**8/560 + h**7/56 + h**6/15 + h**5/10 - 5*h**3 - 6. Let r(q) be the third derivative of z(q). Let r(v) = 0. Calculate v.
-2, -1, 0
Suppose 0*q = -6*q. Suppose 3/5 + q*h**3 + 8/5*h - 1/5*h**4 + 6/5*h**2 = 0. What is h?
-1, 3
Suppose 48 = 12*j - 24*j. Let g be ((j + 2)/(-10))/(7/28). Suppose 2/5*q**2 - g + 2/5*q = 0. What is q?
-2, 1
Determine d so that 16/3*d**3 + 2/3*d**4 + 10/3 + 32/3*d + 12*d**2 = 0.
-5, -1
Let u(i) = -8*i - 56*i**2 - 62*i**2 + 2*i**3 + 101*i**2 - 7. Let c be u(9). Determine p so that 4/9*p + 0 - 2/3*p**c + 2/9*p**3 = 0.
0, 1, 2
Let y be -6*(-10)/(-180) + (-20)/(-6). Let r(d) be the first derivative of 1/4*d**4 + 0*d + 5 + 1/6*d**2 + 1/15*d**5 + 1/3*d**y. Factor r(i).
i*(i + 1)**3/3
Let a(z) be the second derivative of -z**7/84 - z**6/12 - 3*z**5/20 + z**4/6 + 2*z**3/3 - 3*z. What is s in a(s) = 0?
-2, 0, 1
Let -1/7*b**3 - 1/7 + 1/7*b**2 + 1/7*b = 0. Calculate b.
-1, 1
Let s = 71 - 68. Factor 11*g + 1 - 14*g**3 + 7*g**2 - 9*g**4 + s*g**3 + 1.
-(g - 1)*(g + 1)**2*(9*g + 2)
Let u = 6 - -8. Let s = -12 + u. Suppose 10*j**s + 37 - 10 + 18*j - 7*j**2 = 0. Calculate j.
-3
Suppose 42*q - 16 = 38*q. Let y(z) be the second derivative of 0 - 1/12*z**q + 0*z**3 + 0*z**2 - 1/20*z**5 + z. Solve y(i) = 0 for i.
-1, 0
Let n(g) be the third derivative of -11/20*g**5 + 3/4*g**4 - 30*g**2 + 0*g + 0*g**3 - 3/10*g**6 + 1/14*g**7 + 0. Factor n(s).
3*s*(s - 3)*(s + 1)*(5*s - 2)
Let y = 791 + -787. Let j(w) be the first derivative of 0*w - 2 + 1/2*w**3 + 0*w**2 - 1/8*w**y. Suppose j(h) = 0. What is h?
0, 3
Let k(y) = -8*y**2 + y + 6. Let o = 14 - 20. Let z = 0 + o. Let b(v) = -9*v**2 + v + 7. Let d(i) = z*b(i) + 7*k(i). Let d(g) = 0. What is g?
0, 1/2
Suppose 15 + 3*k**3 - 15 + 3*k**2 - 4*k**3 = 0. Calculate k.
0, 3
Factor -7*d**2 - 3*d**3 + 9*d**2 + 6*d**2 + 9*d**2 - 2*d**2.
-3*d**2*(d - 5)
Factor 3/2*r**3 - 6*r**2 - 117/2*r - 81.
3*(r - 9)*(r + 2)*(r + 3)/2
Let w(m) be the first derivative of 0*m + 10 - 4*m**2 - 4/3*m**3 + m**4. Factor w(y).
4*y*(y - 2)*(y + 1)
Let h(s) be the third derivative of -s**9/75600 + s**8/16800 - s**7/12600 - s**4/8 - 15*s**2. Let w(n) be the second derivative of h(n). Solve w(q) = 0.
0, 1
Let m(f) be the third derivative of -f**7/15120 + f**6/4320 + f**5/360 + f**4/12 - 17*f**3/6 - 13*f**2. Let z(x) be the second derivative of m(x). Factor z(v).
-(v - 2)*(v + 1)/6
Let a(v) be the first derivative of 5*v**4/14 - 22*v**3/3 + 30*v**2/7 + 112. What is n in a(n) = 0?
0, 2/5, 15
Let m = -251 + 249. Let u be 2 + (-159)/(-15) + (m - 1). Solve -192/5*n - 4/5*n**3 - u*n**2 - 256/5 = 0.
-4
Find t, given that 136/3*t - 2*t**3 - 32 + 16/3*t**2 = 0.
-4, 2/3, 6
Suppose 5*j + 0*i = 2*i, i = 5. Let n be (j/6)/(5/9). Factor 9/5*g - n*g**3 + 0*g**2 + 6/5.
-3*(g - 2)*(g + 1)**2/5
Let q(u) = 18*u**2 + 60*u + 27. Let k(j) = j**2 + 5*j + 1. Let v(l) = -15*k(l) + q(l). Factor v(c).
3*(c - 4)*(c - 1)
Suppose 5*w + 3 = -3*v - 3, 4*w = -4*v. Suppose 0 = -2*k + 3*j - 12, -7*k + v*k + 5*j = 20. Let 0 + 1/4*y**2 + k*y - 1/4*y**3 = 0. Calculate y.
0, 1
Let 0 + 9/4*k**2 - 1/4*k**3 + 5/2*k = 0. What is k?
-1, 0, 10
Suppose 0*t - 5*t + 46 = 4*v, 0 = v + 2*t - 16. Solve -4/3*g**2 + 16/3*g - 8/3*g**3 + v 