d + 1)*(9*d + 2)/6
Let r = 91/3 + -30. Let i(m) be the second derivative of -2*m + 1/10*m**5 - m**2 + 1/6*m**4 - r*m**3 + 0. Solve i(l) = 0 for l.
-1, 1
Let y(t) be the first derivative of -t**6/120 + t**4/16 + t**3/12 - 2*t + 6. Let v(n) be the first derivative of y(n). Solve v(l) = 0.
-1, 0, 2
Let o(y) be the second derivative of y**10/15120 + y**9/2520 + y**8/1120 + y**7/1260 + y**4/4 - 7*y. Let c(i) be the third derivative of o(i). Factor c(w).
2*w**2*(w + 1)**3
Let t be 6 - 423/306 - 2/17. What is o in 9/2*o**3 + 0 - 3/2*o**2 + 0*o + 3/2*o**4 - t*o**5 = 0?
-1, 0, 1/3, 1
Factor -12/11 + 14/11*g - 2/11*g**2.
-2*(g - 6)*(g - 1)/11
Let v(y) be the third derivative of -y**9/2016 - y**8/560 + y**6/120 + y**5/80 - y**3/6 - 6*y**2. Let u(o) be the first derivative of v(o). Factor u(p).
-3*p*(p - 1)*(p + 1)**3/2
Let n(f) be the third derivative of f**5/20 + f**4/4 + f**3/2 + f**2. Factor n(b).
3*(b + 1)**2
Let p(g) be the second derivative of 0 + 3*g + 2/15*g**3 + 0*g**2 - 1/30*g**4. Let p(i) = 0. Calculate i.
0, 2
Let m(x) = -x + 3. Let q be m(0). Factor u**3 + u**q + 3*u**2 - u**2.
2*u**2*(u + 1)
Suppose -j - 2*h = -15, 2*h - 25 = -3*h. Let u be -1*j*4/(-10). Factor -2*m**3 + m**4 + 2*m**2 - 3*m**u - m**5 + 3*m**3 + 0*m**2.
-m**2*(m - 1)**2*(m + 1)
Let u = -39 + 55. Suppose 0 = 3*s + 2*h - u, -4*h + h + 9 = -3*s. Factor -2*t - 4/7 - 16/7*t**s - 6/7*t**3.
-2*(t + 1)**2*(3*t + 2)/7
Let q(y) = 7*y**5 + y**4 - 6*y**3 + 6*y**2 + 3*y - 3. Let b(l) = 15*l**5 + 3*l**4 - 12*l**3 + 12*l**2 + 6*l - 6. Let k(w) = -4*b(w) + 9*q(w). Factor k(m).
3*(m - 1)**3*(m + 1)**2
Solve 1/3*y**3 - 3 - 3*y + 1/3*y**2 = 0 for y.
-3, -1, 3
Suppose 193*n - 2 = 192*n. Suppose 0*l**n + 0*l + 1/5*l**4 + 0 + 1/5*l**3 = 0. What is l?
-1, 0
Let z = 10 + -6. Let m = 4 - z. Factor -3/5*u**3 + m - u**2 - 2/5*u.
-u*(u + 1)*(3*u + 2)/5
Let g(k) be the third derivative of k**5/90 - 5*k**4/9 + 100*k**3/9 + 30*k**2. Let g(z) = 0. What is z?
10
Suppose 12/11*w**3 - 8/11*w**2 + 2/11*w**5 - 16/11*w + 0 + 10/11*w**4 = 0. Calculate w.
-2, 0, 1
Let y(b) be the third derivative of b**7/2520 + b**6/360 - b**4/12 - 4*b**2. Let f(q) be the second derivative of y(q). Factor f(i).
i*(i + 2)
Let y(j) be the second derivative of 0 - 1/4*j**5 - 5*j - 2/3*j**3 - 2/3*j**4 + 0*j**2 - 1/30*j**6. Factor y(g).
-g*(g + 1)*(g + 2)**2
Let k(l) be the first derivative of 18*l**5/35 - 15*l**4/14 + 2*l**3/3 - l**2/7 - 25. Factor k(c).
2*c*(c - 1)*(3*c - 1)**2/7
Suppose 2*r + 10 = 2*t, 2 = 4*t + 3*r + 3. Let -u**2 - 1/2 + 2*u**3 - t*u + 3/2*u**4 = 0. What is u?
-1, -1/3, 1
Let i(b) be the first derivative of -7 + 0*b**2 + 0*b + 0*b**3 + 1/6*b**4. Find p, given that i(p) = 0.
0
Let 3/8*l**3 - 3/2*l + 0*l**2 + 0 = 0. What is l?
-2, 0, 2
Let x(m) be the third derivative of m**6/1080 + m**5/135 - m**4/216 - 2*m**3/27 + 5*m**2. Suppose x(y) = 0. Calculate y.
-4, -1, 1
Let s(x) be the second derivative of 0 + 0*x**2 - 1/66*x**4 + 2*x + 0*x**3. Factor s(y).
-2*y**2/11
Let r(n) be the second derivative of n**8/160 - 3*n**7/140 + n**6/80 + n**5/40 - n**3/3 - n. Let m(o) be the second derivative of r(o). Factor m(h).
3*h*(h - 1)**2*(7*h + 2)/2
Suppose -20*u - 35*u**2 - 6*u**3 - 52*u**3 - 30*u**4 - 5*u**5 - 7*u**3 - 25*u**2 = 0. What is u?
-2, -1, 0
Suppose 36*o = 40*o. Let d(j) be the third derivative of 1/240*j**5 + o*j + j**2 + 0*j**4 + 0 + 0*j**3. What is z in d(z) = 0?
0
Let b be (162/(-4))/(2/(-4)). Factor b*a**2 + a**3 - a - 81*a**2.
a*(a - 1)*(a + 1)
Let m(j) be the second derivative of -j**7/231 + 2*j**6/165 - j**4/33 + j**3/33 + 12*j. Factor m(w).
-2*w*(w - 1)**3*(w + 1)/11
Suppose -6*j + 5*j = -3. Factor 0*m - 2*m**4 + 4/7*m**j + 0*m**2 + 0.
-2*m**3*(7*m - 2)/7
Let t = -9 + 10. Factor 22*o**4 - t - 2*o - 2*o**3 - 21*o**4 + 4*o**3 + 0.
(o - 1)*(o + 1)**3
Let q(o) be the first derivative of -9*o**4/8 + o**3 + 1. Find x such that q(x) = 0.
0, 2/3
Let d(q) = 2*q**3 + 12*q**2 + 18*q. Let s(m) = -4*m**3 - 24*m**2 - 37*m. Let f(z) = -5*d(z) - 2*s(z). Factor f(k).
-2*k*(k + 2)*(k + 4)
Let g be 32/648*9*(-16)/(-2). Determine r so that -2/9*r**4 + 0*r + 0 - g*r**2 - 16/9*r**3 = 0.
-4, 0
Let z = 27 + -15. Let u = 37/3 - z. Determine l so that -u*l**2 + 2/3*l - 1/3 = 0.
1
Suppose -5*d + 3 = -4*d. Suppose 0 = -y - d*y + 8. Factor l**2 - 4*l**3 - 2*l**y + 5*l**3.
l**2*(l - 1)
Suppose 5*k - 409 = -19. Let u = -388/5 + k. Suppose -u*o + 2/5*o**2 + 0 = 0. What is o?
0, 1
Suppose m = 6 - 3. Factor -j**4 - j**3 + 4*j**m - 2*j**4.
-3*j**3*(j - 1)
Let h be 51*(1 - (-2)/(-3)). Suppose -y + 5*s = h, 2*s - 20 = -3*s. Factor 1/5*b**y + 0*b**2 + 0*b + 0.
b**3/5
Let x be ((-6)/(-8))/((-4)/(-32)). Let g = x - 4. Find i, given that 12*i**5 + 2*i**3 + g*i**4 - 3*i**2 - 14*i**5 + i**2 = 0.
-1, 0, 1
Let w(p) be the first derivative of 1/72*p**4 + 1/2*p**2 + 0*p + 4 + 1/360*p**5 + 1/36*p**3. Let k(a) be the second derivative of w(a). Factor k(u).
(u + 1)**2/6
Let g(k) = -k**3 + 9*k**2 + k - 7. Let h be g(9). Solve 2 + 3*f + f**h + 0*f**2 - f + f = 0.
-2, -1
Let v(m) be the second derivative of m**6/12 + m**5/12 - 5*m**4/24 - 5*m**3/18 + 4*m. Suppose v(k) = 0. Calculate k.
-1, -2/3, 0, 1
Let s(l) be the first derivative of l**6/8 - 3*l**5/5 + 3*l**4/4 + l**3/2 - 15*l**2/8 + 3*l/2 - 46. Factor s(x).
3*(x - 2)*(x - 1)**3*(x + 1)/4
Let q(z) = 13*z**2 - 42*z + 20. Let h(y) = 105*y**2 - 336*y + 159. Let t(m) = 4*h(m) - 33*q(m). Factor t(d).
-3*(d - 4)*(3*d - 2)
Let f(x) be the first derivative of x**6/30 - x**5/20 - x**4/6 - 3*x + 4. Let l(u) be the first derivative of f(u). Find w such that l(w) = 0.
-1, 0, 2
Let n(f) be the third derivative of f**8/26880 - f**6/960 - f**5/240 + f**4/24 - 3*f**2. Let w(l) be the second derivative of n(l). Find v such that w(v) = 0.
-1, 2
Let n(f) be the first derivative of -f**5/25 + f**4/20 + 8*f**3/15 - 6*f**2/5 - 11. Factor n(j).
-j*(j - 2)**2*(j + 3)/5
Factor -54/11 - 72/11*d**2 + 108/11*d - 2/11*d**4 + 20/11*d**3.
-2*(d - 3)**3*(d - 1)/11
Let n = 902 + -557. Let o = n - 1025/3. Factor -8/3 - o*d**2 + 2/3*d**3 + 16/3*d.
2*(d - 2)**2*(d - 1)/3
Let c = -565/9 - -63. Factor 2/9 + 4/9*u + c*u**2.
2*(u + 1)**2/9
Factor 6*n**4 - 3*n**5 - 13*n**4 - 12*n**2 - 18*n**3 - 5*n**4 - 3*n.
-3*n*(n + 1)**4
Let p(t) be the first derivative of 25*t**6/2 - 42*t**5 + 207*t**4/4 - 28*t**3 + 6*t**2 + 14. Factor p(x).
3*x*(x - 1)**2*(5*x - 2)**2
Factor 1 + 3*a**2 + 5 - a**2 - 2 - 6*a.
2*(a - 2)*(a - 1)
Solve 36*g - 276*g**3 - 162*g**2 - 2 - 216*g**4 + 16*g**4 - 84*g**3 + 40*g**2 = 0 for g.
-1, 1/10
Suppose -12 = -4*n - 0*n. Suppose -p**4 - 3*p**5 + 2*p**5 - p**2 + 2*p**2 + p**3 + 0*p**n = 0. Calculate p.
-1, 0, 1
Let m(z) = -16*z**2 - 681*z - 7047. Let c(g) = -4*g**2 - 170*g - 1762. Let a(i) = -9*c(i) + 2*m(i). Suppose a(f) = 0. What is f?
-21
Let l(r) be the second derivative of -r**4/12 + 17*r**3/3 - 289*r**2/2 - 37*r. Factor l(q).
-(q - 17)**2
Let t(c) be the third derivative of c**5/180 - c**4/18 + 2*c**3/9 + 17*c**2. Suppose t(d) = 0. Calculate d.
2
Let a be ((-8)/1428)/(3/1967). Let c = a - -70/17. What is h in 2/9*h**4 + 0*h + c*h**3 + 0 + 0*h**2 = 0?
-2, 0
What is r in 6*r + 35*r**2 - 6 - 39*r**2 + 2 + 2*r = 0?
1
Factor -5*l + 5*l**4 - 15*l**3 - 20*l + 0*l**3 - 45*l**2.
5*l*(l - 5)*(l + 1)**2
Let b(t) be the first derivative of 3*t**2 + 2/3*t**3 + 4*t + 6. Factor b(v).
2*(v + 1)*(v + 2)
Let z(h) be the third derivative of 0*h**3 + 7*h**2 + 0*h**4 + 0*h + 1/90*h**5 + 0. What is j in z(j) = 0?
0
Let v(z) = -z - 7. Let m be v(-7). Suppose m = -b - 2*k + 11, -5*k = -4*b - 0*k - 8. Factor 2/7*i**b + 6/7*i**2 + 6/7*i + 2/7.
2*(i + 1)**3/7
Solve -16/5 - 128/5*k - 36*k**2 + 324/5*k**3 = 0.
-2/9, 1
Suppose -4*d + k = 4, -3 = 3*d + 3*k - 15. Factor -2/5*b**2 + d + 6/5*b**3 + 2/5*b**5 - 6/5*b**4 + 0*b.
2*b**2*(b - 1)**3/5
Let g(x) be the third derivative of -2*x**7/105 + 2*x**6/15 - 2*x**5/15 - 2*x**4/3 + 2*x**3 + 21*x**2. Suppose g(d) = 0. Calculate d.
-1, 1, 3
Suppose -2*t = -s - 2*s - 27, 3*t - 9 = 0. Let d(a) = a**2 + 6*a - 7. Let p be d(s). Factor p + w**3 + 0*w**2 + 3/2*w**4 + 0*w - 5/2*w**5.
-w**3*(w - 1)*(5*w + 2)/2
Let l(u) = -u + 6. Let r(j) = 4*j**2 - 1. Let y be r(1). Let w be l(y). What is t in 5*t**2 + 20*t**4 - 8*t**5 + 0 - 33/2*t**w - 1/2*t = 0?
0, 1/4, 1
Let g(h) = h**3 + h**2 - h. Let r be g(-2). Let j be (5/25)/(3 + r