4 + 7*a**3 = 0 for a.
-4, 0
Let u(j) = 4*j**2 - 4*j. Let b(t) = t**2 - t. Let d(c) = 9*b(c) - 2*u(c). Let a(l) = 55*l + 80. Let h(i) = a(i) + 5*d(i). Find y such that h(y) = 0.
-8, -2
Let s = 18 + 37. Solve -42*k**2 - 15*k**4 - 65*k**3 + 15*k**2 - 16*k**2 - s*k - 52*k**2 - 10 = 0.
-2, -1, -1/3
Let x(p) be the first derivative of 172 + 1/15*p**5 + 0*p**3 + 0*p**2 + 0*p - 1/24*p**4 - 1/36*p**6. Suppose x(m) = 0. Calculate m.
0, 1
Let v(i) be the first derivative of -i**7/252 + 53*i**6/180 - 52*i**5/75 + 31*i**4/45 - 119*i**3/3 + 36. Let y(u) be the third derivative of v(u). Factor y(l).
-2*(l - 31)*(5*l - 2)**2/15
Let f(m) be the first derivative of -m**7/1470 + 2*m**5/35 - 8*m**4/21 + m**3/3 - 9*m - 64. Let g(r) be the third derivative of f(r). Factor g(p).
-4*(p - 2)**2*(p + 4)/7
Suppose -a - 5*i - 15 = 0, 0 = -0*a + a + 4*i + 16. Let n be a/(-48) - (-20)/(-120). Factor n*b**2 + 5/2 + 11/4*b.
(b + 1)*(b + 10)/4
Let a(o) = 22*o**3 - 3*o**2 + 3*o - 16. Let d be a(3). Let x = d - 2229/4. Let -1 - x*q**2 + 3*q + 3/4*q**3 = 0. What is q?
2/3, 1, 2
Let d be 35 + -2 + 5 + -2. Suppose 2936*i**3 + 85*i - 2931*i**3 - 40*i**2 - 14 - d = 0. Calculate i.
1, 2, 5
Let q = -543 + 536. Let u(r) = -5*r**3 + 45*r**2 + 29*r + 7. Let t(g) = 3*g**3 - 23*g**2 - 14*g - 4. Let l(h) = q*t(h) - 4*u(h). Factor l(p).
-p*(p + 1)*(p + 18)
Let v(f) = -f**2 - f + 1. Let p(t) = -12*t**3 + 288*t**2 + 42*t - 40. Let k be 2 + (7/(-14))/(4/8). Let y(g) = k*p(g) - 10*v(g). Let y(a) = 0. Calculate a.
-1/2, 1/3, 25
Let u(s) = -s**2 - 509*s + 148214. Let r be u(207). Factor -26/7*j**r - 8/7 - 2/7*j**4 - 12/7*j**3 - 24/7*j.
-2*(j + 1)**2*(j + 2)**2/7
Let z(i) be the first derivative of -3*i**5/5 - 21*i**4/4 + 170*i**3 + 548. Suppose z(n) = 0. What is n?
-17, 0, 10
Let s(h) be the first derivative of h**8/1848 - 2*h**7/385 + 77*h**2/2 - h - 34. Let n(v) be the second derivative of s(v). Factor n(c).
2*c**4*(c - 6)/11
Let n be 6 - 7 - (-782)/46 - (2 + 9). Find f such that -4/13 + 6/13*f - 16/13*f**4 + 20/13*f**2 + 0*f**3 - 6/13*f**n = 0.
-2, -1, 1/3, 1
Factor -80 - 76*w - w**2 - 3*w**2 - 27 - 133.
-4*(w + 4)*(w + 15)
Suppose -b - 3 + 11 = 0. Let t be -2*20/b*-1. Factor 6*h**t - 3*h**5 - 6*h**4 - 3*h**4 + 3*h**3 + 3*h**3.
3*h**3*(h - 2)*(h - 1)
Suppose 7 + 39 = 4*u - 2*q, 5*u + 3*q - 63 = 0. Factor 7*f**4 + 3*f + 18*f**3 - 2*f**4 + u*f**2 + 3*f**5 + 7*f**4.
3*f*(f + 1)**4
Let j(y) = -46*y**3 - 78*y**2 + 20*y. Let g(o) = -59*o + 27*o - 7*o**3 - 11*o**2 + 35*o. Let f(t) = 20*g(t) - 3*j(t). Determine a so that f(a) = 0.
0, 7
Let i be 6 + 7 + 192/6 - -7. Suppose i = -77*r + 360. Let -2/7*c**2 - 14 - r*c = 0. Calculate c.
-7
Let o(s) be the second derivative of s**7/1680 + s**6/360 - s**5/30 + 7*s**3/6 - s**2 - 168*s. Let t(m) be the second derivative of o(m). Factor t(y).
y*(y - 2)*(y + 4)/2
Suppose 5*f - 109 = 116. Let s be (((-25)/5)/(-15))/(6/f). Determine z so that s*z**2 + 2*z - 1/2 = 0.
-1, 1/5
Let z = -8/423 - -3440/2961. Find i such that 40/7*i + 2*i**4 - z - 6*i**2 - 4/7*i**3 = 0.
-2, 2/7, 1
Let i(w) be the second derivative of -w**5/30 + 2*w**4/9 + 29*w**3/9 + 8*w**2 + 7993*w. Factor i(v).
-2*(v - 8)*(v + 1)*(v + 3)/3
Let z(g) be the second derivative of g**6/180 + g**5/9 + g**4/3 - 8*g**3 - 20*g**2 + 10*g + 1. Let r(q) be the first derivative of z(q). Factor r(k).
2*(k - 2)*(k + 6)**2/3
Let l(t) = -t**2 - 7*t - 1. Let s be l(-10). Let v = 34 + s. Let -3*c**2 - 33*c**3 + 59*c**3 - 32*c**v = 0. What is c?
-1/2, 0
Let q be 5156/(-12) - (-20)/(-8)*-2. Let y = q + 426. Find b such that -y*b**4 + 0*b**2 + 0*b + 0 - 1/3*b**3 = 0.
-1/4, 0
Let s = -11533 + 11537. Let g(q) be the second derivative of q**s + 2/5*q**5 - 26*q - 7/3*q**3 - 8/15*q**6 + 2*q**2 + 0 + 1/7*q**7. Factor g(t).
2*(t - 1)**3*(t + 1)*(3*t - 2)
Let j(y) = y**2 + 4*y - 18. Let u(m) = -m - 1. Let o be u(6). Let h be j(o). Factor 6*x**3 - 7*x - 5*x**3 + 14*x**h - 5*x**4 - 15*x**2 + 12*x.
-5*x*(x - 1)**3
Let h = 12/191 - -167/382. Let v(y) be the second derivative of h*y**2 + 0 - 16*y + 1/3*y**3 + 1/12*y**4. Factor v(d).
(d + 1)**2
Let i(s) be the second derivative of -s**8/80 - 2*s**7/35 - 11*s**6/120 - s**5/20 - 9*s**3 - 14*s - 2. Let m(f) be the second derivative of i(f). Factor m(n).
-3*n*(n + 1)**2*(7*n + 2)
Let y be (-5)/22 + (-3095)/(-13618). Factor y + 1/6*b**2 - 17/6*b.
b*(b - 17)/6
Let r(w) = 66*w - 2835. Let h be r(43). Factor -3/5*g**4 - h - 54/5*g**2 + 48/5*g + 24/5*g**3.
-3*(g - 5)*(g - 1)**3/5
Let g(c) be the first derivative of 5*c**3/2 + 939*c**2/4 + 279*c + 4440. Factor g(t).
3*(t + 62)*(5*t + 3)/2
Let o(h) = -20*h**3 + 504*h**2 + 4. Let b(z) = 20*z**3 - 502*z**2 - 6. Let w(x) = -2*b(x) - 3*o(x). Let w(i) = 0. Calculate i.
0, 127/5
Let v(p) = -p**2 + 32*p + 4. Let h be v(8). Let w = h + -1352/7. Factor -w - 16/7*t + 4/7*t**2.
4*(t - 5)*(t + 1)/7
Suppose 0 = -107*b + 26*b - 81. Let k be 4 + (306/(-63) - b). Find d, given that -1/7*d**2 + 0 + 0*d**3 + k*d**4 + 0*d = 0.
-1, 0, 1
What is q in -39/4*q**4 + 3/2*q**3 - 1539/4*q - 3/4*q**5 + 729/4 + 423/2*q**2 = 0?
-9, 1, 3
Find p, given that 1/2*p**3 + 13*p**2 - 59/2*p - 42 = 0.
-28, -1, 3
Let o(l) = 10*l + 204. Let y be o(-9). Let m = 118 - y. Factor -12*x**2 + 4/3*x**5 + 0 + 4*x**3 + 0*x + 20/3*x**m.
4*x**2*(x - 1)*(x + 3)**2/3
Let g = 929 + -931. Let h be 243/(-18)*g/36. Factor -l + 0 + 1/4*l**4 + h*l**3 + 0*l**2.
l*(l - 1)*(l + 2)**2/4
Let i(t) be the first derivative of -4*t**3/3 + 12552*t**2 - 39388176*t + 2072. Solve i(k) = 0.
3138
Let b be (-59)/(236/24)*(-24)/28. Let c(t) be the first derivative of -b*t + 39 + 15/7*t**2 + 2/7*t**3. Solve c(r) = 0.
-6, 1
Factor 29*o**2 - 64*o - 13*o + 138 - 18 - 4*o**3 + 9*o - 77*o**2.
-4*(o - 1)*(o + 3)*(o + 10)
Let r(k) be the second derivative of 5*k**4/12 + 379*k**3/24 - 19*k**2/8 - 763*k - 4. Determine o so that r(o) = 0.
-19, 1/20
Determine c, given that 142/7*c**3 + 0 + 956/7*c**2 + 360/7*c + 5/7*c**4 = 0.
-18, -10, -2/5, 0
Let s(i) be the first derivative of -5*i**6/6 + 536*i**5 - 89780*i**4 - 2741. Factor s(q).
-5*q**3*(q - 268)**2
Suppose 0 = g + w - 16, -2*g + w + 17 = -12. Suppose -7 = 2*t - g. Determine i so that -68*i**3 + i**4 + 60*i**3 + 3*i**t = 0.
0, 2
Let x be (0 + 620)/10*8. Let q be (4/2)/(x/40 + -12). Determine a so that 245/2*a**q + 30 + 105/2*a**4 - 1345/2*a**3 + 1455/2*a**2 - 260*a = 0.
-3, 2/7, 1
Let d(a) = -a**3 - 16*a**2 + 16*a - 15. Let k be d(-17). Let f be (12 + (-36)/k)/((-39)/2). Factor 2/13*u**3 + f*u**2 + 0 + 0*u.
2*u**2*(u + 2)/13
Let g(b) be the first derivative of -b**8/112 - 24*b**7/35 - 96*b**6/5 - 1024*b**5/5 + 38*b**2 + 62. Let v(h) be the second derivative of g(h). Factor v(r).
-3*r**2*(r + 16)**3
Let r = 508336/279 + -1822. Let f = r + 580/3069. Factor 50/11 + f*x**2 - 20/11*x.
2*(x - 5)**2/11
Let y be (-646)/136 + 2277/460. Factor -8/5 + 7/5*r + y*r**2.
(r - 1)*(r + 8)/5
Suppose 0*s**2 + 0 - 5/2*s**4 + 5/6*s**5 + 0*s + 0*s**3 = 0. Calculate s.
0, 3
Let t(f) be the third derivative of f**5/180 - 35*f**4/72 - 2*f**3 - 3*f**2 + 33*f. Factor t(g).
(g - 36)*(g + 1)/3
Let o be (-6279)/207 + (-5 - -36). Factor -2*f**2 - o*f**4 - 2/3*f + 0 - 2*f**3.
-2*f*(f + 1)**3/3
Suppose 101 - 71 = 15*d. Suppose -3*g = -9, 131*f + 66 = 134*f - d*g. Factor -3/2*p**2 - f*p - 96.
-3*(p + 8)**2/2
Let i(q) be the first derivative of q**6/4 - 11*q**5/10 - q**4/2 + 11627. Factor i(d).
d**3*(d - 4)*(3*d + 1)/2
Let q = 1/260 - 1093/260. Let x = -37/10 - q. Factor 3/2*m + x*m**2 + 1.
(m + 1)*(m + 2)/2
Let s(u) = -u**2 + 27*u - 10. Let k be s(11). Solve -8*m**4 + 43434*m**5 - 64*m + 32*m**3 + 64*m**2 - k + 38 - 43438*m**5 = 0 for m.
-2, 2
Suppose 3*c + 4*s + 10 = -2, 5*c - 9 = 3*s. Suppose 3*m - 3*k - 18 = c, m + 5*k + 12 = -12. Solve -m - 1/4*l**2 + l = 0.
2
Let s be 10/(-455)*7 + (-8778)/(-17680). Let t = s + -9/40. Solve -2/17*x + 4/17*x**3 - 2/17*x**4 - 2/17*x**5 + 4/17*x**2 - t = 0 for x.
-1, 1
Let g(f) be the third derivative of -f**5/30 + 25*f**4/3 - 12*f**2 + 56*f. Determine l, given that g(l) = 0.
0, 100
Let c(b) be the third derivative of b**5/30 - 82*b**4/3 + 36*b**2 - b - 23. Let c(v) = 0. Calculate v.
0, 328
Suppose 75*t + 1405 = 1555. What is z in 2/5*z**4 - 8092/5*z - 20*z**3 + 1632/5*z**t - 9826/5 = 0?
-1, 17
Let r(p) be the first derivative of p**6/105 + p**5/7 + 17*p**4/42 + 8*p**3/21 + 18