q) = -35*p(q) + 3*s(q). Suppose w(x) = 0. What is x?
0
Solve 52/15*z**2 + 16/5 - 98/15*z - 2/15*z**3 = 0 for z.
1, 24
Let s(y) = -y + 8*y + y**3 - 2 + 2*y**3 - 3*y**2. Let m(r) = 4*r**3 - 4*r**2 + 10*r - 3. Let a = 25 - 30. Let x(h) = a*m(h) + 7*s(h). Factor x(u).
(u - 1)**2*(u + 1)
Let c(x) be the third derivative of -x**4/12 + 19*x**3/3 - 10*x**2. Let d be c(17). Factor 0 + 0*i**3 + 2/5*i**2 - 2/5*i**d + 0*i.
-2*i**2*(i - 1)*(i + 1)/5
Let v = 2/3541 - -14158/10623. Solve 2/3*r**5 + 8/3*r**3 - 10/3*r + v + 4/3*r**2 - 8/3*r**4 = 0.
-1, 1, 2
Let -14/11*b**2 + 15/11*b - 1/11*b**3 + 0 = 0. What is b?
-15, 0, 1
Suppose 34 = -2*p + 4*y, 2*y = -4*p - y - 123. Let m(q) = 2*q**3 + 55*q**2 + 26*q - 24. Let g be m(p). Determine u so that -8/7*u - 2/7*u**g + 0 - 8/7*u**2 = 0.
-2, 0
Find g, given that g**2 - 28*g + 4*g**2 - 4*g**2 = 0.
0, 28
Let g(w) = 7*w**4 - 21*w**3 + 39*w**2 - 19*w. Let d(l) = 15*l**4 - 43*l**3 + 80*l**2 - 39*l. Let j(n) = -6*d(n) + 13*g(n). Solve j(p) = 0 for p.
0, 1, 13
Let t(g) = g**3 - g + 1. Let c be (-2)/(-3 + 5)*1. Let z(x) = -7*x**3 + 10*x**2 + 37*x + 18. Let l(v) = c*z(v) - 2*t(v). Let l(s) = 0. What is s?
-1, 4
Let w be (6/2)/((-3)/6). Let h(k) = -4*k**3 + 6*k**2 + 6*k. Let f(q) = q**3 - q**2 - q. Let d(n) = w*f(n) - h(n). Factor d(r).
-2*r**3
Solve -57 - 17*t**3 - 3*t**4 - 38*t**2 + 252*t - 28*t**2 - 19*t**3 - 123 + 33 = 0 for t.
-7, 1
Let h(f) = -6*f**3 - 9*f**2 - 10*f - 2. Let m(i) = -i**3 - i**2 - i. Let s(d) = -h(d) + 5*m(d). Factor s(t).
(t + 1)**2*(t + 2)
Let i(s) be the third derivative of -s**8/84 + 2*s**7/15 - 11*s**6/30 + s**5/3 - 2*s**2 + 376. Factor i(q).
-4*q**2*(q - 5)*(q - 1)**2
Let z(j) be the first derivative of -j**4/6 - j**3/3 - 15*j + 32. Let b(q) be the first derivative of z(q). Factor b(v).
-2*v*(v + 1)
Let r(i) be the first derivative of 3*i**4/8 + 19*i**3/2 - 3*i**2/4 - 57*i/2 - 372. Factor r(v).
3*(v - 1)*(v + 1)*(v + 19)/2
What is t in -65344/9*t**2 - 64/3*t**4 + 2/9*t**5 + 6142/9*t**3 - 2048/3*t + 65536/9 = 0?
-1, 1, 32
Let w(g) = -13 + 0 + 3*g + 2 + 1. Let c be w(4). Factor 8*v**2 - 6*v**3 - 5*v**c - 6*v**2 - 9*v**2 - v**4 - 8*v.
-v*(v + 2)**3
Suppose 0 = 5*j - 2*a - 69, 0 = -j - a + 6 + 5. Suppose 0 = -5*b - 3 + j. Solve w**4 - 20 - w**3 - w**b + 20 + w = 0.
-1, 0, 1
Suppose 49 = p + 2*w, -2*p + 7*w + 122 = 3*w. Let q be 3 - (293/99 + (-10)/p). Solve -2/9*d**2 + 2/9 - q*d**3 + 2/9*d = 0.
-1, 1
Suppose -4*r + 6 - 34 = 0. Let z = r - -7. Factor 3/5*q - 4/5*q**2 + z + 1/5*q**3.
q*(q - 3)*(q - 1)/5
Let b = -17558/5 - -3514. Suppose -16/5*s**2 + 4/5*s**4 + 0 + 0*s + b*s**3 = 0. What is s?
-4, 0, 1
Let g(q) be the third derivative of q**8/560 + q**7/10 + 99*q**6/200 + 97*q**5/100 + 4*q**4/5 + 149*q**2. Let g(c) = 0. What is c?
-32, -1, 0
Let a(p) be the second derivative of 4*p**5/5 + 14*p**4 + 147*p**3/2 + 343*p**2/2 - 2*p + 90. Let a(j) = 0. What is j?
-7, -7/4
Let f(q) = -q**2 + 6*q - 7. Let w be f(2). Let c be (-7 - -6)/(-2*w). Factor k - 1/2*k**3 + 0 + c*k**2.
-k*(k - 2)*(k + 1)/2
Factor 1083 - 1026*q - 3/4*q**3 - 225/4*q**2.
-3*(q - 1)*(q + 38)**2/4
Suppose -26*d - 3*d + 3*d**3 + 5*d - 6*d**2 = 0. What is d?
-2, 0, 4
Let y be (-6)/(-16) + 1083/(-4104). Let h(p) be the second derivative of 1/6*p**3 - 4*p + 0 - y*p**4 + 0*p**2 + 1/60*p**5. Suppose h(o) = 0. Calculate o.
0, 1, 3
Determine u, given that 40/9*u + 2/9*u**3 + 0 + 32/9*u**2 - 2/9*u**4 = 0.
-2, 0, 5
Let n(z) = 2*z**4 - z**2 + z + 1. Let u(h) = h**4 - 25*h**3 - 63*h**2 - 37*h - 2. Let k(g) = 2*n(g) + u(g). Let k(v) = 0. What is v?
-1, 0, 7
Let n(h) be the first derivative of -5*h**4/12 + 5*h - 34. Let o(r) be the first derivative of n(r). Factor o(m).
-5*m**2
Let f = -1969 - -1969. Solve 4/3*s - 4/3*s**2 + f = 0 for s.
0, 1
Let r(i) be the first derivative of -i**3 + 153*i**2 - 7803*i + 130. Find s, given that r(s) = 0.
51
Let d = 32 + -29. Factor -u**d + 236 - 236 + u**2.
-u**2*(u - 1)
Factor -27/4*h - 3/4*h**3 + 0 + 15/2*h**2.
-3*h*(h - 9)*(h - 1)/4
Determine g so that 44*g - 832 - 98*g + 1072 - 8*g**2 + 334*g + 63*g**2 = 0.
-4, -12/11
Let h(l) = l**3 + 7*l**2. Let n(z) = -2*z**3 - 10*z**2. Suppose 0 = 5*x - 5 + 15. Let b be 0/6 - 16/x. Let s(v) = b*h(v) + 5*n(v). Find r, given that s(r) = 0.
0, 3
Let s = -1038 + 558. Let o be -4 + (s/28)/(-4). Determine c so that 1/7*c - 1/7*c**2 + o = 0.
-1, 2
Suppose 49*b - 191 = -33*b + 137. Factor 0*v - 8/3*v**3 + 8*v**2 + 0 + 2/9*v**b.
2*v**2*(v - 6)**2/9
Let k(c) = -37*c**2 + 19*c + 17. Let o(h) = -13*h**2 + 6*h + 6. Let m(d) = -6*k(d) + 17*o(d). Determine u so that m(u) = 0.
0, 12
Let q(u) be the first derivative of -57 - 5/6*u**3 + 15/4*u**2 + 25*u. Factor q(k).
-5*(k - 5)*(k + 2)/2
Let q(p) = -3*p - 9 + 4*p - 3*p. Let o be q(-6). Solve 16*y**o - 10*y**2 - 11*y**2 + 9*y**2 - 4*y**4 = 0 for y.
0, 1, 3
Suppose 4*j - 7*s = -3*s + 12, 3*s = -4*j + 12. Let n(y) be the third derivative of 0 - 9*y**2 - 1/80*y**5 - 1/16*y**4 + 0*y**j + 0*y. Factor n(z).
-3*z*(z + 2)/4
Let u = 22 + -19. Suppose -a - u*x = -27, 0*a - 5*x = -3*a + 67. Determine n, given that a*n**2 - 23*n**2 + 4*n - 3*n = 0.
-1, 0
Let o(i) be the third derivative of i**5/300 + 3*i**4/20 + i**2 + i. Let o(l) = 0. Calculate l.
-18, 0
Let z(m) = 7*m**2 + 6*m + 19. Let o(v) = -36*v**2 - 27*v - 96. Let b(a) = 4*o(a) + 21*z(a). Factor b(p).
3*(p + 1)*(p + 5)
Suppose -15 = 3*d - 2*s, -3*d + 2*s = -s + 15. Let h(u) = -u**2 - 4*u + 7. Let q be h(d). Factor -5 - 8*c + 10 + 2*c**q + 3.
2*(c - 2)**2
Let w(q) be the second derivative of -3*q**5/10 + 17*q**4/12 + 2*q**3/3 - 3*q**2/2 + q - 53. Let w(a) = 0. What is a?
-1/2, 1/3, 3
Let u(g) be the second derivative of 2*g**7/21 - 6*g**6/5 + 3*g**5/5 + 73*g**4/3 + 64*g**3 + 72*g**2 - 65*g. Find r, given that u(r) = 0.
-1, 6
Suppose -4*l + 3 = -9. Find d such that -22*d**4 + 37*d**4 + l*d**2 - 18*d**4 = 0.
-1, 0, 1
Suppose -4*f - 64 = -f + 5*z, -5*z - 25 = 0. Let i = -13 - f. Let 1/2*d**4 - d**3 - 1/2 + i*d**2 + d = 0. What is d?
-1, 1
Let y(l) be the first derivative of l**4/18 - 32*l**3/27 - l**2/9 + 32*l/9 - 236. Factor y(g).
2*(g - 16)*(g - 1)*(g + 1)/9
Let h(v) be the first derivative of 5/18*v**6 + 8 + 55/12*v**4 - 9/5*v**5 - 53/9*v**3 + 4*v**2 - 4/3*v. Suppose h(f) = 0. Calculate f.
2/5, 1, 2
Suppose -i = -5*w, -3 - 6 = -i + 2*w. Let a be (-36)/i*5/(-1). Determine x so that -3 + 0 + a*x**2 - 15*x + 6 = 0.
1/4, 1
Let v(x) be the third derivative of -2/21*x**3 + 1/140*x**5 + 0*x**4 - 1/840*x**6 + 0 + 0*x + 3*x**2. Factor v(c).
-(c - 2)**2*(c + 1)/7
Let f be 801/(-648) - 16/(-12). Let o(l) be the second derivative of 1/24*l**5 + 0 + 1/12*l**3 - f*l**4 - 1/180*l**6 + 2*l + 0*l**2. Let o(v) = 0. Calculate v.
0, 1, 3
Let k(g) = 9*g**2 + 35*g - 57. Let x(c) = 4*c**2 + 18*c - 28. Let s(r) = -6*k(r) + 13*x(r). Factor s(a).
-2*(a - 11)*(a - 1)
Let j(m) be the second derivative of m**6/30 - 3*m**5/10 + 3*m**4/4 + m + 20. Let j(p) = 0. Calculate p.
0, 3
Let p = -91 + 148. Factor 24*v**2 + 0 - 15*v**5 - 3*v + p*v**4 + 18*v**2 - 78*v**3 - 3.
-3*(v - 1)**4*(5*v + 1)
Let k(c) be the second derivative of c**8/1680 - c**7/315 - c**6/180 + c**5/15 + 3*c**4/2 - 3*c. Let t(i) be the third derivative of k(i). Factor t(o).
4*(o - 2)*(o - 1)*(o + 1)
Let a(j) = j**2 + j. Let n(i) = 3*i + 4*i**3 - 4*i**3 + 1 - 5*i**3 + 3*i**3. Let h(r) = -4*a(r) + 4*n(r). Suppose h(t) = 0. What is t?
-1, -1/2, 1
Solve 150*y**2 + 0*y**4 - 215*y + 317 - 285*y - 2192 + 2*y**4 + 60*y**3 + 3*y**4 = 0 for y.
-5, 3
Let x(f) be the third derivative of -f**5/630 - f**4/9 + 283*f**2. Factor x(c).
-2*c*(c + 28)/21
Let r be 18*(-10)/(-30)*(-6)/(-9). Let t be ((-9)/5)/(4/(-5)). Let 0 - 27/4*v**2 - t*v**r - 15/2*v**3 - 3/2*v = 0. Calculate v.
-2, -1, -1/3, 0
Let s(f) be the first derivative of f**3/3 - 3*f**2/2 - 55. Factor s(h).
h*(h - 3)
Let v(l) be the third derivative of -1/12*l**4 + 0 - 2*l**2 + 1/60*l**5 + 0*l - 4/3*l**3. Find i, given that v(i) = 0.
-2, 4
Suppose 6 = 10*i - 14. Let r(d) be the first derivative of -i + 1/6*d**3 + 1/4*d**2 + 0*d. Determine s, given that r(s) = 0.
-1, 0
Suppose 5*n = 3*f - 20 + 76, 5*f = -10. Let d = 63 + -60. Factor 14*i**2 + 2*i**4 - 2*i + 2*i**d - n*i**2 - 6*i**2.
2*i*(i - 1)*(i + 1)**2
Suppose -9 = -5*n + 2*m, m - 15 = 3*n - 7*n. Let p be (20/(-100))/((108/45)/(-4)). Factor -1/3*k**n + 0 - 2/3*k**2 - p*k.
-k*