 0 + l*h - 2/7*h**i.
-2*h**2/7
Let k(y) = y - 7. Let l be k(9). Suppose -4 = -l*t + t. Find f, given that -2*f - f - f + 5*f**2 - 13*f**2 - t*f**3 = 0.
-1, 0
Find r, given that 39*r - 3249 - 20*r**2 - 29*r**2 - 153*r + 48*r**2 = 0.
-57
Let t(x) be the second derivative of -3*x - 1/2*x**3 + 0 - 1/4*x**4 + 0*x**2. Factor t(z).
-3*z*(z + 1)
Let t(a) be the second derivative of 1/10*a**7 - 8/25*a**6 + 0*a**2 + 0 - 27*a + 0*a**3 - 1/10*a**4 + 33/100*a**5. Factor t(q).
3*q**2*(q - 1)**2*(7*q - 2)/5
Let k(l) be the third derivative of -l**6/660 + 16*l**5/165 - 61*l**4/132 + 10*l**3/11 - 289*l**2. Let k(i) = 0. What is i?
1, 30
Let j(i) be the first derivative of -3*i**3 - 11*i**2/2 + 2*i - 10. Let r(s) = -10*s**2 - 12*s + 3. Let y(d) = 5*j(d) - 4*r(d). Determine c so that y(c) = 0.
-1, -2/5
Let s be 1/((-1)/(-8))*3/(-6). Let h(f) = -f**3 - f + 1. Let v(w) = -8*w**3 - 12*w**2 - 12*w + 4. Let n(d) = s*h(d) + v(d). Find l, given that n(l) = 0.
-2, -1, 0
Let v(y) = -10*y**3 - 4*y**2 + 20*y - 12. Suppose 9*r = 12*r + 18. Let a(k) = 11*k**3 + 4*k**2 - 20*k + 12. Let q(p) = r*a(p) - 7*v(p). What is n in q(n) = 0?
-3, 1
Let a(o) be the second derivative of -5*o**4/12 - 35*o**3/3 - 60*o**2 - 3*o + 50. Factor a(i).
-5*(i + 2)*(i + 12)
Let s = 115 - 112. Find b, given that 27*b - 6*b + 24*b + 30*b**2 + 5*b**s = 0.
-3, 0
Suppose -6*m + 20 = -m. Let p(g) be the second derivative of 1/7*g**3 - 4*g + 1/70*g**5 + 1/7*g**2 + 0 + 1/14*g**m. Factor p(s).
2*(s + 1)**3/7
Suppose 2*t - r - 7 + 0 = 0, 4*t - 10 = -2*r. Suppose 0 = t*w - 5*k + 41 - 170, 183 = 4*w - 3*k. Factor w*f**2 - 42*f**2 - 2*f**3 - f**3.
-3*f**2*(f - 2)
Factor 4/7 + 6/7*g - 2/7*g**3 + 0*g**2.
-2*(g - 2)*(g + 1)**2/7
Let s = 53294/3 + -17760. Suppose s*i - 49/3 - 1/3*i**2 = 0. What is i?
7
Let b(k) be the first derivative of 5*k**6/6 + 6*k**5 + 45*k**4/4 + 20*k**3/3 - 588. Determine s so that b(s) = 0.
-4, -1, 0
Let v(h) be the first derivative of h**6/6 - h**5/5 - h**4/4 + h**3/3 + 136. Factor v(n).
n**2*(n - 1)**2*(n + 1)
Let u(o) be the third derivative of o**7/315 - o**6/36 - 4*o**5/45 + o**4/3 + 4*o**2. Factor u(v).
2*v*(v - 6)*(v - 1)*(v + 2)/3
Let s be 14 - ((1 - 11) + 21). Let 1/4*b**s + 75/4*b - 15/4*b**2 - 125/4 = 0. What is b?
5
Let a(x) be the second derivative of -4*x**5/15 - 19*x**4/3 - 44*x**3/3 - 26*x**2/3 + 620*x. Determine l, given that a(l) = 0.
-13, -1, -1/4
Let s = 17557/3052 - 2/763. Let v(w) be the second derivative of 1/7*w**7 + 69/20*w**5 + s*w**4 + 11/10*w**6 + 3*w**2 + 3*w + 0 + 11/2*w**3. Solve v(h) = 0.
-2, -1, -1/2
Let p(q) be the second derivative of 14641*q**4/54 + 242*q**3/27 + q**2/9 - 27*q - 4. Solve p(o) = 0.
-1/121
Solve -78/11*u - 68/11*u**3 + 2/11*u**5 + 112/11*u**2 + 12/11*u**4 + 20/11 = 0.
-10, 1
Suppose -2 = -2*r - 4. Let q(x) = -x**2 + x. Let b(a) = -8*a**2 + 12*a + 12. Let d(v) = r*b(v) + 4*q(v). Factor d(k).
4*(k - 3)*(k + 1)
Suppose -p + 384 = -4*x, -4*p + 0*p = -4*x - 384. Let f = -90 - x. Suppose 9*a**2 + f*a + 3/2 + 3/2*a**4 + 6*a**3 = 0. Calculate a.
-1
Let u(z) be the second derivative of -z**6/72 + z**5/60 + z**4/36 + z**2 - 7*z. Let i(j) be the first derivative of u(j). Factor i(b).
-b*(b - 1)*(5*b + 2)/3
Suppose -111*t = -116*t + 10, h + 3*t = 6. Factor -2 - 16/3*d + h*d**3 + 2/3*d**4 - 4*d**2.
2*(d - 3)*(d + 1)**3/3
Let a(z) be the third derivative of 1/210*z**7 - 1/20*z**6 + 0*z + 3/20*z**5 + 0*z**3 + 0 - 18*z**2 + 0*z**4. Find n such that a(n) = 0.
0, 3
Let v = 234 + -4211/18. Let u(i) be the first derivative of -3 + 8/27*i**3 + 0*i + v*i**4 + 4/9*i**2. Factor u(x).
2*x*(x + 2)**2/9
Let t(f) = -4*f**3 - 26*f**2 - 98*f. Let j(v) = -21*v**3 - 129*v**2 - 490*v. Let m(a) = -2*j(a) + 11*t(a). Factor m(o).
-2*o*(o + 7)**2
Let z be 24/15*15/42. Let z + 45/7*i**4 - 12/7*i - 43/7*i**2 + 6/7*i**3 = 0. What is i?
-2/3, 1/5, 1
Let a(w) be the first derivative of 2*w**5/5 - w**4 - 2*w**3 + 4*w**2 + 8*w + 42. Find h such that a(h) = 0.
-1, 2
Let v(u) = u**3 + 4*u**2 - 5*u + 4. Let y be v(-5). Find z such that z**y + 80*z**3 - 3*z**2 - 2*z - 80*z**3 = 0.
-1, 0, 2
Let b(d) = 35*d + 1. Let l be b(2). Let j = -23 + l. Let -j*n**2 - 60*n**2 - 2 - 28*n**4 + 52*n - 6 + 20*n**3 + 72*n**3 = 0. Calculate n.
2/7, 1
Let a(k) be the second derivative of 2/5*k**5 + 0*k**2 - 2/21*k**7 + 0*k**6 + 8*k + 0 + 0*k**4 - 2/3*k**3. Factor a(c).
-4*c*(c - 1)**2*(c + 1)**2
Let c(j) be the third derivative of j**7/1575 + j**6/900 - j**5/150 - j**4/180 + 2*j**3/45 + 58*j**2. Solve c(h) = 0.
-2, -1, 1
Suppose 0 = 3*i - 8*i + 10. Let b(y) = y**3 - 9*y**2 - 9*y - 6. Let h be b(10). Determine u, given that 2*u**2 + 3*u**2 - h*u**i + u = 0.
-1, 0
Let p(c) be the third derivative of -13*c**5/60 - c**4/8 - 10*c**2 - 3. Factor p(l).
-l*(13*l + 3)
Suppose 0*c - c = -5. Factor 10*w - w**3 - 18*w**2 - c*w**3 + 0 + 4 + 14*w**4 - 4*w**3.
2*(w - 1)**2*(w + 1)*(7*w + 2)
Let y(w) be the second derivative of w**4/84 - 19*w**3/21 + 361*w**2/14 + 10*w - 3. Factor y(m).
(m - 19)**2/7
Let p = 579759/2405 + -6499/37. Let a = p + -684/13. Solve -32/5*y - a - 4/5*y**2 = 0.
-4
Let o(c) = 5*c**4 + 6*c**3 - 6*c**2 - 32*c - 25. Let i(y) = 12*y**4 + 13*y**3 - 12*y**2 - 62*y - 49. Let x(a) = -6*i(a) + 15*o(a). Factor x(p).
3*(p - 3)*(p + 1)*(p + 3)**2
Let d(m) be the second derivative of -5*m**4/24 - 5*m**3/2 + 35*m**2/4 - 7*m - 3. Let d(u) = 0. What is u?
-7, 1
Let x(z) = z**4 + z**3 - z**2 + z + 1. Let o(u) = -16*u**4 + 4*u**3 + 4*u**2 - 8*u - 8. Let j(r) = -o(r) - 8*x(r). Factor j(g).
4*g**2*(g - 1)*(2*g - 1)
Let r(u) be the first derivative of 2*u**5/5 + 2*u**4 - 14*u**3 + 4*u**2 + 56*u - 277. Factor r(a).
2*(a - 2)**2*(a + 1)*(a + 7)
Suppose -m + 20 = 3*m. Let j(d) = -d + 1. Let u be j(-6). Solve -x**5 + x + 2*x**2 + 7*x**5 - u*x**m - 2*x**4 = 0.
-1, 0, 1
Let b(i) be the second derivative of -i**5/80 + 5*i**4/24 + i**3/24 - 5*i**2/4 + 18*i - 1. Factor b(t).
-(t - 10)*(t - 1)*(t + 1)/4
Let x be (2871/(-116))/((-2)/(-16)*-19). Let 206/19*i**2 - x*i**3 - 72/19*i + 56/19*i**4 + 8/19 = 0. Calculate i.
1/4, 2/7, 1, 2
Let m(q) be the first derivative of q**7/1365 + q**6/195 + q**5/130 + 4*q**2 + 9. Let z(r) be the second derivative of m(r). Let z(h) = 0. Calculate h.
-3, -1, 0
Find i, given that -69*i + 55*i + 2*i**2 - 14*i**3 + 24*i**2 - 2*i**4 + 4*i**3 = 0.
-7, 0, 1
Let m(x) be the third derivative of -x**6/300 + 2*x**5/15 - 128*x**2. Factor m(j).
-2*j**2*(j - 20)/5
Let x(h) = 24*h**3 + 4*h + 24. Let v(j) = 5*j**3 + j + 5. Let d(z) = 14*v(z) - 3*x(z). Let r(l) = -1. Let c(o) = -d(o) + 2*r(o). Let c(k) = 0. Calculate k.
-1, 0, 1
Suppose 3*k + 4*r + 84 + 85 = 0, k = 2*r - 53. Let w = -52 - k. Factor 0 - 16/3*t**2 + 8/3*t - 30*t**w.
-2*t*(5*t + 2)*(9*t - 2)/3
Let n be 7*1 + 23 + (-4576)/154. Let b be (-4)/(-14) + (-4)/(-14). Determine w, given that 0 + 0*w - b*w**3 + n*w**2 + 2/7*w**4 = 0.
0, 1
Suppose -242 = -3*g + 88. Determine u, given that -200*u + g*u + 4*u**2 + 16 + 110*u = 0.
-4, -1
Let c(b) be the third derivative of b**9/6048 + b**8/576 + b**7/336 + 5*b**5/12 + 6*b**2. Let t(x) be the third derivative of c(x). Factor t(j).
5*j*(j + 3)*(2*j + 1)
Suppose -3*h - 3*l - l + 9 = 0, -6 = -2*h + l. Find m, given that -200*m**h - m**4 + 202*m**3 - m**2 + m**2 = 0.
0, 2
Suppose -5*y - 2*m = -16 - 70, 5*y - 3*m - 71 = 0. Factor -2 + y*r + 7*r**3 - 18*r - 5*r**3 + 2*r**2.
2*(r - 1)*(r + 1)**2
Suppose -2*u + u + 10 = 0. Suppose -3*y - u*t + 8*t + 11 = 0, -5*y + t + 27 = 0. Solve 0*j**2 + 0 - 2/11*j**4 + 0*j + 0*j**3 + 2/11*j**y = 0.
0, 1
Suppose 6*z - 5*z + 4*z + 7*z = 0. Factor -5*j + 5/6*j**3 + 5/6*j**2 + z.
5*j*(j - 2)*(j + 3)/6
Let y(z) be the first derivative of z**4/14 - 12*z**3/7 + 96*z**2/7 - 256*z/7 - 191. Factor y(k).
2*(k - 8)**2*(k - 2)/7
Let p(g) = 2*g**2 - 5*g + 7. Let v be p(3). Let s(o) be the first derivative of -4*o**4 + 8/3*o**3 + 8 + v*o**2 - 16/5*o**5 - 2/3*o**6 + 8*o. Factor s(n).
-4*(n - 1)*(n + 1)**3*(n + 2)
Factor -4 - 4/3*o + 7/3*o**2 - 1/3*o**3.
-(o - 6)*(o - 2)*(o + 1)/3
Let y(x) = -2*x**2 - 33*x + 42. Let g(q) = -2*q**2 - 32*q + 40. Let m(c) = 7*g(c) - 6*y(c). Factor m(i).
-2*(i - 1)*(i + 14)
Let -o**3 + 0*o**3 - 3*o**3 + 130*o - 21225*o + 3675*o - 524*o**2 - 16900 = 0. Calculate o.
-65, -1
Let i(t) be the second derivative of -1/20*t**4 + 0 - 1/15*t**3 + 2/75*t**5 + 3*t + 5/2*t**2. Let k(y