)/(15/(-6) + 1). Solve h*y**2 + 0*y + 0 = 0 for y.
0
Let l be ((-1)/(-2))/((-153)/(-30) + -5). Solve -20*b**2 - 3*b - 2*b + 11*b**4 + 9*b**4 - 3*b + 8*b**l = 0.
-2, -1, -1/2, 0, 1
Let o(i) = i**2 + i - 4. Let j be o(-3). Suppose 30 = -j*p + 8*p. Let 2/7*u + 0*u**2 + 0*u**4 + 0 + 2/7*u**p - 4/7*u**3 = 0. What is u?
-1, 0, 1
Let r(o) = o**2 + 3*o - 7. Suppose 2*f = 27 - 37. Let x be r(f). Factor 0 - 2/11*z**5 + 0*z**4 + 4/11*z**2 + 6/11*z**x + 0*z.
-2*z**2*(z - 2)*(z + 1)**2/11
Let g(l) = 15*l**3 + 65*l**2 + 115*l + 50. Let u(m) = -m**3 + m - 1. Let r be 42/(-8) - (-6)/24. Let a(s) = r*u(s) - g(s). What is h in a(h) = 0?
-3, -1/2
Suppose -9 = -2*n - w + 4*w, 3*n = 2*w + 6. Suppose -18*z + 14*z + 20 = n. Find v, given that 0*v + 2/3*v**2 - 2/3*v**3 + 2/3*v**z - 2/3*v**4 + 0 = 0.
-1, 0, 1
Find b, given that 342 + 2794 + 4*b**2 + 82*b - 216*b - 90*b = 0.
28
Let -178*i + 79*i + 56 + 0*i**2 - 4*i**2 + 79*i = 0. What is i?
-7, 2
Let s(u) be the second derivative of u**4/96 - 91*u**3/48 + 89*u**2/8 + 4*u + 1. Solve s(g) = 0.
2, 89
Let h = 1 + 1. Let k = -1181 + 22441/19. Factor -2/19 + 2/19*g**3 + 2/19*g**h - k*g.
2*(g - 1)*(g + 1)**2/19
Suppose p - 27 = -3*h + 4*p, 3*p + 11 = -5*h. Factor 2/9*c**3 - 10/9*c - 8/9*c**h + 0.
2*c*(c - 5)*(c + 1)/9
Let x = -659665 - -36278371/55. Let v = x - -294/5. Factor 0 + v*b**2 + 2/11*b**3 + 0*b.
2*b**2*(b + 3)/11
Let r be (((-200)/(-12))/(-10))/(2/(-18)). Suppose 2*v + p = 14, -5*p + 40 - r = v. Factor 0*y + 0*y**2 + 0 - 1/6*y**3 - 1/6*y**v - 1/3*y**4.
-y**3*(y + 1)**2/6
Let o(w) be the second derivative of -w**5/4 - 5*w**4/4 + 5*w**3/6 + 15*w**2/2 - 3*w + 43. Factor o(j).
-5*(j - 1)*(j + 1)*(j + 3)
Let p = 1370 + -82199/60. Let a(s) be the third derivative of 1/8*s**4 - 1/3*s**3 - p*s**5 + 0*s + 10*s**2 + 0. Find f, given that a(f) = 0.
1, 2
Let q(x) = -36*x**2 + 28*x - 22. Suppose -4*d = -9*d - 30. Let s(n) = -5*n**2 + 4*n - 3. Let u(k) = d*q(k) + 44*s(k). What is h in u(h) = 0?
0, 2
Let x(c) be the third derivative of c**9/3780 - c**8/420 + c**7/126 - c**6/90 + c**4/4 - 12*c**2. Let b(k) be the second derivative of x(k). Factor b(a).
4*a*(a - 2)*(a - 1)**2
What is c in -5224*c**4 + 1051*c**2 + 39*c**2 - 2400*c + 5229*c**4 - 135*c**3 + 1440 = 0?
1, 2, 12
Suppose 3 + 3/2*i**4 + 27/2*i**2 + 15/2*i**3 + 21/2*i = 0. Calculate i.
-2, -1
Let k(g) = -g**3 + 8*g**2 + 5*g - 60. Let c(s) = -s**3 + s**2 + 6*s. Let p(w) = 5*c(w) + 5*k(w). Find x, given that p(x) = 0.
-5/2, 3, 4
Let h = -20 + 10. Let j(n) = -n**3 - 9*n**2 + 11*n + 13. Let a be j(h). What is c in 11*c + 2*c**2 - 3 + a - 13*c = 0?
0, 1
Let s(f) = f**3 - f**2. Let x(z) = 5*z**4 - 12*z**2 + 6*z**3 + 2*z**3 + 0*z**4 + 9*z**2 - 10*z. Let q(g) = -2*s(g) - x(g). Factor q(p).
-5*p*(p - 1)*(p + 1)*(p + 2)
Suppose 10*u - 132/13 + 2/13*u**2 = 0. What is u?
-66, 1
Suppose 0 = -2*r + 6 - 0. Factor 25*x - 4*x**2 - x**r + 5*x**3 - 29*x + 4.
4*(x - 1)**2*(x + 1)
Let a = -315 + 2521/8. Let l(g) be the second derivative of 1/16*g**4 - 1/40*g**6 + 0*g**2 + 0 + a*g**3 - 3/80*g**5 - g. Factor l(p).
-3*p*(p - 1)*(p + 1)**2/4
Let v = 8794/29133 - 6/1079. Let k = 14/27 - v. Factor -2/9*o - 2/9 + 2/9*o**3 + k*o**2.
2*(o - 1)*(o + 1)**2/9
Let q be (3 + -1)/(-4 + 2) + 4. Find m such that 152*m**4 + 142*m**4 + 75*m**5 + 135*m**q - 24*m**2 + 11*m**5 + 61*m**5 - 12*m = 0.
-1, -2/7, 0, 2/7
Factor 3*n**3 - 7*n**3 + 3257 - 48*n + 24*n**2 - 3225.
-4*(n - 2)**3
Let w = -22 + 24. Factor 224*z + 8 - 224*z - 6*z**w + 2*z**3.
2*(z - 2)**2*(z + 1)
Let c be (-120)/10 + 10 + 4. Factor 4/9*x + 2/9*x**c + 2/9.
2*(x + 1)**2/9
Suppose m = -4*l, 0*l = -2*m + 4*l + 12. Factor -8*w**3 + 4*w**3 + m*w**4 + 16*w**2 + 12*w**3 + 8*w**3.
4*w**2*(w + 2)**2
Let r(k) be the second derivative of -5*k**7/42 + 5*k**6/6 - k**5/2 - 35*k**4/6 + 5*k**3/2 + 45*k**2/2 + 534*k - 1. What is g in r(g) = 0?
-1, 1, 3
Suppose -4*h - 4*v + 20 = 0, -4*h - 3*v = -32 + 14. Find a such that -12*a - 8*a**2 - 4/3*a**h - 16/3 = 0.
-4, -1
Let d(m) be the third derivative of -7/960*m**6 - 12*m**2 + 0*m + 0*m**3 - 1/240*m**5 - 1/420*m**7 + 0 + 1/192*m**4. Find x, given that d(x) = 0.
-1, 0, 1/4
Let z(n) be the third derivative of -1/8*n**4 - 1/60*n**5 + 2*n**2 + 0*n + 0 + 0*n**3. Factor z(f).
-f*(f + 3)
Find q, given that 0*q**4 - 3*q**4 + 0*q**4 - 16*q**3 + 2*q**4 = 0.
-16, 0
Let n be ((-6128)/4596)/((8/(-21))/1). Factor n*l**4 + 16*l**2 + 0 - 33/2*l**3 + 6*l.
l*(l - 3)*(l - 2)*(7*l + 2)/2
Let t(k) be the first derivative of -28*k**3/3 + 44*k**2 - 12*k + 84. Factor t(j).
-4*(j - 3)*(7*j - 1)
Let x(o) = -3*o**4 - 7*o**3 + 58*o**2 + 2*o. Let q(a) = -80*a**4 - 190*a**3 + 1565*a**2 + 55*a. Let y(k) = -2*q(k) + 55*x(k). Factor y(d).
-5*d**2*(d - 3)*(d + 4)
Suppose -16 = -4*p - 4*c, 4*p - 5*c = -c + 16. Let g(n) be the first derivative of -4*n + 4*n**2 + 1/4*n**p - 5 - 5/3*n**3. Factor g(j).
(j - 2)**2*(j - 1)
Let s be ((-7)/(-140)*7)/(3/36). Let d(n) be the first derivative of -9/4*n**4 + 0*n - 3/2*n**6 + 3*n**2 + 5 + 3*n**3 - s*n**5. Suppose d(t) = 0. What is t?
-1, 0, 2/3
Solve 0 - 309/2*v - 3/2*v**2 = 0.
-103, 0
Let p(b) = 3*b**4 - 15*b**3 + 66*b**2 - 66*b + 24. Let q(y) = -3*y**4 + 16*y**3 - 64*y**2 + 65*y - 24. Let c(i) = 5*p(i) + 6*q(i). Factor c(h).
-3*(h - 2)**3*(h - 1)
Let o(k) be the second derivative of -k**4/60 + 3*k**3/10 - 4*k**2/5 + 40*k. Factor o(q).
-(q - 8)*(q - 1)/5
Let u be -2 - (-18 + (2 - 2)). Suppose 0 = -4*x - u, -5*x + 3 - 23 = -3*y. Factor 3 + y + r**2 - 4*r**2.
-3*(r - 1)*(r + 1)
Let r(n) be the third derivative of -1/24*n**4 - 1/30*n**5 + 0 + 1/3*n**3 + 1/120*n**6 + 20*n**2 + 0*n. Let r(a) = 0. What is a?
-1, 1, 2
Let k(a) be the third derivative of -a**5/100 - 63*a**4/10 - 7938*a**3/5 + 10*a**2 + 6. Determine h, given that k(h) = 0.
-126
Let i(g) = -g**2 + g - 1. Let f(r) = 106*r**2 + 48*r + 16. Let n be -3 + (-8 - 0)/(-2). Let b(t) = n*f(t) + 8*i(t). What is p in b(p) = 0?
-2/7
Let g(f) be the second derivative of f**5/12 - 25*f**4/24 + 10*f**3/3 + 9*f**2/2 - 2*f. Let t(o) be the first derivative of g(o). Suppose t(a) = 0. Calculate a.
1, 4
Let v = 1377 + -8255/6. Let x(t) be the second derivative of -v*t**4 + 0 + t - 16/3*t**3 - 4*t**2. Factor x(r).
-2*(r + 2)*(7*r + 2)
Suppose -7*y + 96 = 75. Let t(r) be the second derivative of -2*r**2 + 1/3*r**4 + 1/5*r**5 + 0 - 2/3*r**y - 3*r. Factor t(d).
4*(d - 1)*(d + 1)**2
Let a(j) = -j**3 + 10*j**2 - 9*j + 2. Let v be a(9). Factor -15*h + 48*h**v - 22*h**2 - 23*h**2.
3*h*(h - 5)
Let c(u) = -3*u**3 + 35*u**2 - 54*u + 43. Let f be c(10). Suppose 0*q - 1/3*q**2 + 1/6*q**f + 0 = 0. Calculate q.
0, 2
Let r(z) be the first derivative of -z**8/10920 + z**7/780 - z**6/234 - 16*z**3/3 - 22. Let s(n) be the third derivative of r(n). Solve s(m) = 0.
0, 2, 5
Let n(w) be the second derivative of -w**5/20 - 5*w**4/12 - w**3/3 + 4*w**2 + 82*w - 1. Find z such that n(z) = 0.
-4, -2, 1
Let y = 63 - 56. Suppose 3*o = -3*d, 2*d - 4*o + 4 = y*d. Find g, given that 1/5*g**3 - 1/5*g**5 + 1/5*g**d - 1/5*g**2 + 0*g + 0 = 0.
-1, 0, 1
Let j(r) = r**3 + 4*r**2 + 7*r + 8. Let b(w) = -w**3 - 6*w**2 - 9*w - 9. Let p(u) = 4*b(u) + 5*j(u). Let p(z) = 0. Calculate z.
-1, 1, 4
Let 48*x**2 + 3/5*x**4 - 54/5*x - 243/5 + 54/5*x**3 = 0. What is x?
-9, -1, 1
Let s = 478/7 - 1427/21. Solve 0 - 5/3*f**4 - 3*f**3 - 2/3*f - s*f**5 - 7/3*f**2 = 0.
-2, -1, 0
Let w = -5372 - -10745/2. Let x be 4/(-32)*(-2 + 0). Suppose -1/4*i**3 + 0 - x*i**2 + w*i = 0. Calculate i.
-2, 0, 1
Suppose 0 = 4*l - 2*l + 4*z, -l + 4*z + 12 = 0. Suppose 0 = -2*r + 7 + 1. Determine f so that -4*f**2 - 2*f**3 + 0*f - 3*f**4 + 3*f**3 - r*f + l*f**4 = 0.
-2, -1, 0, 2
Let b(w) be the third derivative of w**7/105 + 5*w**6/2 + 250*w**5 + 31250*w**4/3 - w**2 - 39. Let b(z) = 0. What is z?
-50, 0
Let y(s) = -2*s**2 - s + 5. Let a be y(-2). Let t be a + ((-28)/(-70) - 3/(-5)). Factor -2/7*p**3 + 0 + 2/7*p + t*p**2.
-2*p*(p - 1)*(p + 1)/7
Suppose -90 = -3*x - 2*x. Let y = x + -13. Find j, given that 5*j**4 - 2*j**y + 0*j**4 - 3*j**4 - 3*j**2 - 7*j**2 + 4*j + 6*j**3 = 0.
-2, 0, 1
Let m(u) be the second derivative of -u**7/147 + u**5/35 - u**3/21 + 59*u. Solve m(s) = 0.
-1, 0, 1
Let t = 1240/5499 - 2/611. Find l such that -2/9*l**3 + t*l + 2/3 - 2/3*l**2 = 0.
-3, -1, 1
Let y(h) be the second derivative of h**4/21 - 8*h**3/21 - 2*h + 1. Factor y(l).
4*l