- 160*b - 316. Let n(r) = 45*r**2 - 959*r - 1894. Let x(h) = 34*d(h) - 6*n(h). Solve x(j) = 0 for j.
-155, -2
Let s be 2 - ((-3)/(-2))/1. Let q(v) = -v**2 + 3577*v + 50274. Let o be q(-14). Determine w so that -11/4*w**2 + 1 + o*w - 9/4*w**3 - s*w**4 = 0.
-2, -1, 1/2
Let t(c) = c**2 - 16*c + 20. Let z be t(15). Factor 9*f - 14*f**2 + 8*f**2 + 7*f**2 - 5 - z.
(f - 1)*(f + 10)
Let w(f) = -5*f**3 + 66*f**2 + 96*f + 4. Let d(o) = -o**3 + 7*o**2 + 4*o + 1. Let i(z) = 8*d(z) - 2*w(z). What is s in i(s) = 0?
-2, 0, 40
Let u(k) be the second derivative of -k**6/15 - 21*k**5/10 - 8*k**4/3 + 28*k**3 + 80*k**2 - 77*k - 2. Suppose u(z) = 0. What is z?
-20, -2, -1, 2
Factor 112 - 1/2*g**2 + 55*g.
-(g - 112)*(g + 2)/2
Solve 3/5*o**3 - 123/5*o**2 + 1056/5*o + 4356/5 = 0 for o.
-3, 22
Let d(c) = -3*c**2 - 14*c + 54. Let x be d(12). Let z = x + 9286/17. Determine v, given that -2/17*v**3 - z - 8/17*v**2 - 10/17*v = 0.
-2, -1
Let 11/3*t**2 + 68*t - 140/3 - t**3 = 0. Calculate t.
-7, 2/3, 10
Let g(f) be the third derivative of f**5/300 - 47*f**4/10 - 113*f**3/6 + 370*f**2 - 3*f. Determine m so that g(m) = 0.
-1, 565
Let d = 2944 - 2939. Let i(o) be the third derivative of 1/10*o**3 + 6*o**2 - 1/24*o**4 + 0 + 1/300*o**d + 0*o + 1/600*o**6. What is x in i(x) = 0?
-3, 1
Find w, given that 0 - 1/11*w**2 - 332/11*w = 0.
-332, 0
Suppose -50 - 2/9*j**4 - 152/3*j**3 - 452/3*j**2 - 1352/9*j = 0. What is j?
-225, -1
Let u be -240*(-9)/72*-10. Let l = 609/2 + u. Suppose -2*m**3 - 21*m + l + 25/2*m**2 = 0. Calculate m.
1/4, 3
Let t(s) = s**3 - 9*s**2 + 2*s + 30. Let p be t(9). Let f be ((-40)/p - (-2)/4)*-2. Factor 0*x + 0 - 2/3*x**3 + 0*x**2 - f*x**4.
-2*x**3*(x + 1)/3
Factor 32 - 2*g**3 + 10*g**2 - 774*g + 4*g**3 + 730*g.
2*(g - 2)*(g - 1)*(g + 8)
Suppose -3*k + 6 = -0. Suppose 70 = 2*s - k*p, -2*s + 4*s + 4*p - 100 = 0. Find m, given that 16 - s - 28*m + 24 + 4*m**2 = 0.
0, 7
Let b = 17869/3 - 5955. Let x(v) be the third derivative of 3*v**2 - 1/2*v**4 - b*v**3 + 0*v - 1/105*v**7 + 1/40*v**6 + 0 + 1/6*v**5. Factor x(f).
-(f - 2)**2*(f + 2)*(2*f + 1)
Let d(v) = 2*v**3 + 8*v**2 - 272*v + 114. Let p be d(-14). Suppose 24/5 + 1/5*h**p - 14/5*h = 0. Calculate h.
2, 12
Suppose -40 - 657*g - 186*g**2 + 125 + 97 - 9*g**3 + 58 = 0. Calculate g.
-16, -5, 1/3
Let n = -37679 + 188404/5. Factor n*o + 6/5*o**2 + 4/5 + 1/5*o**3.
(o + 1)**2*(o + 4)/5
Let k(u) be the third derivative of u**5/60 - u**3/6 + 50*u**2 - 1. Let z(b) = 4*b**2 + 32*b - 36. Let i(t) = 6*k(t) - 2*z(t). Solve i(h) = 0 for h.
-33, 1
Let m(g) be the first derivative of -g**4/2 - 136*g**3/3 + 139*g**2 - 140*g + 4802. Factor m(n).
-2*(n - 1)**2*(n + 70)
Let p(i) = i**2 - 8*i + 10. Let c be p(4). Let g be ((-20)/12)/(5/c). Let -f - 10*f + 5*f**g + 10*f**3 + f + 26*f**4 - 31*f**4 = 0. What is f?
-1, 0, 1, 2
Let z(k) be the first derivative of 0*k**3 - 1/2*k**4 + 17 + 4*k**2 + 0*k. Factor z(f).
-2*f*(f - 2)*(f + 2)
Let s(u) be the first derivative of -2*u**5/5 - 47*u**4 - 1472*u**3 + 94*u**2 + 4418*u - 352. Factor s(h).
-2*(h - 1)*(h + 1)*(h + 47)**2
Suppose 2350*g - 794*g - 108*g**2 + 2*g**3 - g**3 - 853*g - 812*g = 0. What is g?
-1, 0, 109
Suppose 7*n**4 - 8*n**4 + 59*n**3 - 8*n**2 - 5*n**3 - 900 - 51*n**2 - 370*n**2 + 1100*n = 0. What is n?
2, 5, 45
Let t = -4511791/5 - -902359. Factor -t*v**5 - 4/5*v**2 + 4/5*v**3 + 0*v + 4/5*v**4 + 0.
-4*v**2*(v - 1)**2*(v + 1)/5
Determine d, given that 4/5*d**4 - 936/5*d**3 + 0 + 0*d + 932/5*d**2 = 0.
0, 1, 233
Suppose -i - 2*v - 5 + 16 = 0, -4*v = -i - 13. Let y(h) = -2*h + 1. Let z(f) = -11*f**2 + 35*f + 4. Let b(r) = i*z(r) + 6*y(r). Factor b(k).
-3*(k - 3)*(11*k + 2)
Let r be 18/(-1) - ((-6 - 20) + 6). Solve -56/11*d**r + 0 + 8/11*d**4 + 2/11*d**5 - 30/11*d - 20/11*d**3 = 0.
-5, -1, 0, 3
Suppose 3*j + 15 = 3*t, t = 4*t - 4*j - 17. Suppose 1 = -l + t. Factor 244*a**2 - a - 242*a**l - 15*a + 0*a.
2*a*(a - 8)
Let b(u) be the first derivative of -1458/35*u**5 + 14337/14*u**4 - 126 - 6228/7*u**3 - 304/7*u + 2060/7*u**2. Determine d, given that b(d) = 0.
2/9, 19
Let n = -588 + 591. Suppose 2 = -q - 1, -n*g + 18 = -2*q. Suppose -2/5*f**2 + 1/5 - 1/5*f + 1/5*f**g - 1/5*f**5 + 2/5*f**3 = 0. What is f?
-1, 1
Let y be ((-4379)/39411)/(((-1)/(21/(-4)))/(-2)). Factor 1/2*m**3 - 1/2 + 7/6*m**2 - y*m.
(m - 1)*(m + 3)*(3*m + 1)/6
Let a(r) be the third derivative of 25*r**8/336 + 23*r**7/42 - 5*r**6/6 - 29*r**5/3 + 10*r**4 + r**2 + 291. Solve a(n) = 0.
-4, -3, 0, 2/5, 2
Let i(r) be the second derivative of 1/25*r**5 + 0*r**3 + 1 + 0*r**4 - 1/75*r**6 + 0*r**2 - 15*r. Factor i(d).
-2*d**3*(d - 2)/5
Factor 134*g**2 + 277*g - 45 - 136*g**2 + 315 - 9*g.
-2*(g - 135)*(g + 1)
Suppose -56*h - 50 = -61*h. Suppose -4*x = 2*k - 5*x - 2, 2*k + h = -5*x. Suppose -1/3*l**4 + 0*l**2 + 1/3*l**5 + 0 + 0*l**3 + k*l = 0. Calculate l.
0, 1
Suppose 2*p + 3*o = 20, 6*o = -5*p + 2*o + 43. Factor 2*l**5 + 3*l**3 - p*l**3 + 4*l - 2*l.
2*l*(l - 1)**2*(l + 1)**2
Let i be 17199/22295*7/3. Let i - 9/5*b + 2/5*b**2 = 0. What is b?
3/2, 3
Solve 43*j + 2*j + 5*j**2 + 12*j + 13*j - 1755 = 0.
-27, 13
Let x = 3437/30 + 1921/10. Let w = x + -306. Factor 0 + 1/3*g**5 - w*g**4 + 0*g + 1/3*g**3 + 0*g**2.
g**3*(g - 1)**2/3
Let p be (-124)/12 + 11 + (93/9 - 4). Let j(h) be the second derivative of 0*h**5 + 2*h + 0*h**4 - 1/63*h**p + 0*h**3 + 4/45*h**6 + 0*h**2 + 0. Factor j(r).
-2*r**4*(r - 4)/3
Let b be (700/40 + 5)*(-4)/(-6). Let n be (-275)/b*30/(-100). Find w, given that -3 + 5/2*w + n*w**2 = 0.
-1, 6/11
Let q(v) be the first derivative of -1/4*v**2 + 1/3*v + 1/18*v**3 - 178. Factor q(a).
(a - 2)*(a - 1)/6
Let i = -16990/3781 - -978/199. Let x be 1/3 - 11/(-57). What is y in -6/19*y**4 + 0 + 24/19*y**3 + 0*y - x*y**5 - i*y**2 = 0?
-2, 0, 2/5, 1
Suppose 60 - 8*y**4 + 65*y**2 + 9*y**3 + 4*y**4 + 9*y**4 - 4*y**3 - 125*y - 10*y**4 = 0. Calculate y.
-4, 1, 3
Let q(r) be the third derivative of -r**7/168 - r**6/72 + r**5/24 + 5*r**4/24 - 49*r**3/6 + r**2. Let n(t) be the first derivative of q(t). Factor n(l).
-5*(l - 1)*(l + 1)**2
Let o(z) = z**3 - 10*z**2 - 11*z + 36. Let u be o(11). Solve 3*k**5 + 19*k**3 - u*k - 4*k**3 + 9 - 57 - 18*k**4 + 48*k**2 = 0 for k.
-1, 2, 4
Let p(a) be the second derivative of 3/14*a**4 + 0 + 0*a**5 + 9/14*a**2 - 4/7*a**3 + 162*a - 1/70*a**6. Factor p(x).
-3*(x - 1)**3*(x + 3)/7
Suppose 6 - 423/7*m + 30/7*m**2 = 0. Calculate m.
1/10, 14
Let k(f) = 2*f**3 + 22*f**2 + 30*f + 10. Let i be k(-1). Let -1/6*p**2 + 3/2*p + i = 0. What is p?
0, 9
Let y(g) be the first derivative of 39/2*g**2 + 33/4*g**4 + 19*g**3 + 9*g - 28 + 6/5*g**5. Suppose y(s) = 0. What is s?
-3, -1, -1/2
Let z(r) = 3*r + 27. Let m be 10*(0 + (5 - (-58)/(-10))). Let h be z(m). Factor -2/9*y**h - 2/3*y**2 - 2/3*y - 2/9.
-2*(y + 1)**3/9
Let n(s) = s**5 + s**4 + 1. Let z(u) = 15*u**4 - 18*u**3 + 12*u**2 - 3*u + 3. Suppose -2*h - 9 = -11. Let w(j) = h*z(j) - 3*n(j). Determine l so that w(l) = 0.
0, 1
Suppose n + 0*n = -5*h + 17, 0 = -4*n - 2*h + 14. Let k**2 + 2*k**2 + 20 + 2*k**n + 25*k = 0. What is k?
-4, -1
Suppose 0 = 7*y + 22 + 20. Let i be ((-6)/(-4))/(3 + y)*-20. Factor 5*g + 14*g**3 - i*g**2 - 4*g**3 + 5*g**3 - 5*g**4 - 5*g**2.
-5*g*(g - 1)**3
Let l(b) = -11*b**3 - 14*b**2 - 32*b - 4. Let u(z) = 13*z**3 + 13*z**2 + 34*z + 5. Let r(d) = 5*l(d) + 4*u(d). Factor r(w).
-3*w*(w + 2)*(w + 4)
Let y(i) = -21*i + 135. Let d be y(6). Let r(t) = -4*t**2 + 78*t + 82. Let w(n) = -16*n**2 + 313*n + 329. Let o(s) = d*r(s) - 2*w(s). Let o(k) = 0. Calculate k.
-1, 20
Let k(x) be the second derivative of x**5/10 + 10*x**4 + 231*x**3 + 2254*x**2 + 829*x. What is n in k(n) = 0?
-46, -7
Let c(o) be the first derivative of o**5/10 - 31*o**4/3 + 961*o**3/3 - 304*o + 9. Let i(z) be the first derivative of c(z). Factor i(y).
2*y*(y - 31)**2
Suppose 0 = -5*r - 10, -p + 2 = -0*r + r. Let -46 + 65*z**3 + 3*z**4 + 23*z**2 + 115*z - 58*z**p + 278*z**2 + 16 - 36*z**2 = 0. What is z?
-1, 2/11, 3
Let o(t) be the first derivative of -5*t**4/14 + 236*t**3/21 + 48*t**2/7 - 1781. Factor o(f).
-2*f*(f - 24)*(5*f + 2)/7
Let k(u) = u**2 - 4*u - 3. Suppose -5*n + 4*z - 17 = -43, -2*z = 4*n. Let r = -113 - -112. Let m(d) = d**2 - d - 1. Let v(y) = n*m(y) + r*k(y). Factor v(g).
(g + 1)**2
Suppose -150 + 55 = -5*z. Let i = -17 + z. Factor 50*r**i - 74*r**3 - 15*r + 33*r**3 - r**