9*y + 2/9*y**3 + 140/3 + 0*y**2 = 0.
-10, 3, 7
Let b(w) = 2*w**3 + 17*w**2 + 4*w - 27. Let o be b(-8). What is f in -269*f**4 - 2*f**5 + 196 + f**o - 143*f**2 - 56*f - 8*f**3 + f**3 + 280*f**4 = 0?
-2, 1, 7
Let -15*h**2 - 6217 + 19*h**2 + h**4 + 9*h**3 + 6185 - 36*h = 0. Calculate h.
-8, -2, -1, 2
Let v = -1575379/14 + 227201/2. Let i = v - 1073. Factor i*a**2 + 15/7*a + 18/7.
3*(a + 2)*(a + 3)/7
Factor -61 - 59/2*x + 1/2*x**2.
(x - 61)*(x + 2)/2
Let p(b) be the first derivative of -1/36*b**6 + 36*b + 13*b**3 + 11/6*b**4 + 135/4*b**2 - 99 - 1/15*b**5. Determine o so that p(o) = 0.
-3, -1, 8
Let c be (-3)/2 - 954/(-36). Suppose -5*p = -x + c, 4*x + 5*p + 21 = -4. Determine n, given that 1/2*n - 1/2*n**2 + x = 0.
0, 1
Let m(h) be the first derivative of h**4/16 + 7*h**3/3 + 30*h**2 + 144*h - 4738. Factor m(i).
(i + 4)*(i + 12)**2/4
Let d = -1001 - -1031. Suppose -32 - d = -31*r. Let 8/3*t**r + 0 + 2/3*t**3 + 8/3*t = 0. Calculate t.
-2, 0
Let z(c) = 211*c + 2956. Let q be z(-14). Let w(g) be the first derivative of 55/2*g**q + 30*g + 7*g**5 + 45/4*g**4 - 31 - 55*g**3. Factor w(s).
5*(s - 1)**2*(s + 3)*(7*s + 2)
Let m(t) = -7*t + 3. Let j be m(-1). Suppose 8*z - j = 22. Find c, given that 104*c**4 + 101*c**4 - 206*c**4 + z*c**3 + 2*c + 4*c**2 - 3 - 6*c**3 = 0.
-3, -1, 1
Let -4*n**2 + 152*n - 367553 - 959*n + 24157 - 1537*n = 0. Calculate n.
-293
Let h(r) be the first derivative of 9/2*r**3 + 45/4*r**2 - 71 + 21/2*r + 3/8*r**4. Find m, given that h(m) = 0.
-7, -1
Let b(z) = 2*z**4 + 18*z**3 - 16*z**2 + 20*z + 4. Let m(f) = -3*f**4 - 34*f**3 + 32*f**2 - 37*f - 7. Let h(l) = -7*b(l) - 4*m(l). Factor h(a).
-2*a*(a - 2)**2*(a - 1)
Suppose 52*v = -6*v + 1044. Factor -90*z**2 - 96 + v*z**4 + 261*z + 39*z**3 + 3 - 135*z**2.
3*(z - 1)**3*(6*z + 31)
Suppose 22 = 4*v + 270. Let l = -60 - v. Factor -6*o**2 + 7*o + 2*o - 4*o**l - 4*o.
-5*o*(2*o - 1)
Let t(x) = -x**3 - 12*x**2 - 11*x + 6. Let s be 6/10 + (-580)/50. Let p be t(s). Factor 5*b + p*b - 3*b**2 - 5*b - 3*b.
-3*b*(b - 1)
Let q(c) = -3*c**4 + c**3 - c**2 - c + 1. Let u(r) = 20*r**4 - 44*r**3 + 124*r**2 - 112*r + 33. Let l(j) = 7*q(j) + u(j). Find f such that l(f) = 0.
-40, 1
Let z(q) = -q**2 - 17*q - 34. Let o be z(-14). Let v(h) = 2*h**2 - 8*h - 1. Let t be v(o). Factor 128*u + 91*u**3 + 33*u**2 - 67*u**3 + 2*u**4 + t*u**2.
2*u*(u + 4)**3
Let c(h) = -66*h**3 - 80*h**2 - 132*h - 234. Let v(a) = 2*a**3 + 2*a**2 - 2*a - 3. Let j(t) = 2*c(t) + 68*v(t). Factor j(u).
4*(u - 14)*(u + 2)*(u + 6)
Let q(p) be the second derivative of -11*p**4/3 - 730*p**3/3 - 132*p**2 - 3*p - 107. What is y in q(y) = 0?
-33, -2/11
Factor 48840*h + 27*h**4 + 64350*h**2 + 37651*h**3 + 5696*h**3 - 5956*h - 11136*h**3 + 9528.
(h + 1191)*(3*h + 2)**3
Suppose o = -s - 3, -5*s + 5*o = 2*o - 25. Let q = 8 - 5. Factor -45*c**2 + 10*c + 41*c**2 - q - s*c - 1.
-4*(c - 1)**2
Let f(z) be the first derivative of z**4/14 + 38*z**3/21 + 71*z**2/7 - 26*z - 1372. Solve f(q) = 0 for q.
-13, -7, 1
Let u(r) = 31*r**2 + 56*r - 20*r - 26*r**2 + 17 - 16*r - r**3 - 23*r. Let j be u(5). What is y in 0 - 5/6*y**j - 5/3*y = 0?
-2, 0
Let b be 186/63 - 2/3. Let j = 15077 - 105537/7. Factor 24/7*c**2 - 12/7*c**3 - b*c + j*c**4 + 0.
2*c*(c - 2)**3/7
Suppose -29 = -4*j - 9. Let y(v) = 10*v**2 - 45*v - 5. Let o(b) = -1 - 3*b**2 - b - 9*b**2 + 2*b**2 - 7*b**2 + 18*b**2. Let g(a) = j*o(a) - y(a). Factor g(s).
-5*s*(s - 8)
Let v(w) = -w**3 + 27*w**2 - 50*w + 36. Let r be v(25). Let -9*n - 59*n**3 + 32*n**3 - 85*n + 3*n**4 - 99*n**2 + 19*n - r - 30*n = 0. Calculate n.
-1, 12
Let l(r) be the second derivative of r**6/5 - 175*r**5 + 769117*r**4/18 - 339500*r**3/3 + 112908*r**2 - 8327*r. Find y such that l(y) = 0.
2/3, 291
Find x, given that 0 - 8/7*x**2 + 0*x + 8/7*x**4 + 4/7*x**5 - 4/7*x**3 = 0.
-2, -1, 0, 1
Let b be ((-10136)/(-756) + -14)/((-4)/6). Suppose 0 + b*q**2 + 0*q**3 + 2/9*q**5 - 2/3*q**4 + 0*q = 0. What is q?
-1, 0, 2
Suppose -1 = -4*b + 4*s + 15, -2*s = 5*b - 20. Let g(c) be the first derivative of 3/16*c**b - 3/8*c**2 - 4 + 0*c**3 + 0*c. Factor g(f).
3*f*(f - 1)*(f + 1)/4
Let s(d) be the second derivative of d**5/24 - 47*d**4/36 - 47*d - 11. Factor s(i).
i**2*(5*i - 94)/6
Let t(k) = -2*k**2 - 1014*k - 3042. Let g(r) = r**2 + 1013*r + 3045. Let p(d) = 6*g(d) + 5*t(d). Factor p(u).
-4*(u - 255)*(u + 3)
Let q(p) = -2*p**3 - 9*p**2 + 8*p + 15. Let n be q(-5). Let k be 2 + ((-22)/12 - n). Let 1/6*b**4 + 0 + k*b + 1/2*b**2 + 1/2*b**3 = 0. What is b?
-1, 0
Find t, given that -15*t + 24*t**3 - 16192*t**2 - 50 + 16257*t**2 + 6*t**3 = 0.
-2, -1, 5/6
Suppose 2*o - 2*x - 12 = 0, -o + 18 = -0*o - 5*x. Suppose 2*d + 5*q = 19, -o*d + 2*q - q = -3. Factor 18*m**3 - 6 - 7 + 14*m + 0 + 11 - 30*m**d.
2*(m - 1)*(3*m - 1)**2
Let w = -14/35157 + 527411/140628. Factor 1/2*n + 1/4*n**2 - w.
(n - 3)*(n + 5)/4
Let q(j) be the second derivative of 2 - 7/2*j**3 - 83*j - 1/20*j**5 + 2/3*j**4 + 9*j**2. Find l such that q(l) = 0.
2, 3
Let v(a) be the second derivative of a**5/100 - 7*a**3/30 + 3*a**2/5 - 949*a. Find k, given that v(k) = 0.
-3, 1, 2
Suppose 14 = d + 5*c, -4*d + 5 = 5*c - 21. Let i be (3 + (-87)/27)*(-2 - d). Factor 28/3 - i*j**2 - 8*j.
-4*(j - 1)*(j + 7)/3
Find w such that 148/5*w**2 - 48 - 34/5*w**3 - 56/5*w + 2/5*w**4 = 0.
-1, 2, 6, 10
Let r be ((-19)/3 + (-8)/5 + (-10406)/(-1210))*3. Suppose 2/5*f**r + 0 - 114/5*f = 0. Calculate f.
0, 57
Suppose n + r = 7, -5*n + 4*r - 10 = -3*n. Suppose -6 = -6*t + n*t. Factor 6 + c**t + 0 + 6*c + 12 - 9.
(c + 3)**2
Let x(t) be the first derivative of -2*t + 1/2*t**3 - 1/2*t**2 + 1/20*t**5 + 5/16*t**4 + 19. Solve x(s) = 0 for s.
-2, 1
Let m(o) = -6*o**3 - 3*o. Let u(s) = -8*s**3 + 148*s**2 - 6*s. Let n(i) = -2*m(i) + u(i). Suppose n(k) = 0. What is k?
-37, 0
Factor -8*t - 2/5*t**2 + 42/5.
-2*(t - 1)*(t + 21)/5
Let y(a) = 3*a**2 + a + 7. Let p(d) = d**2 + d + 1. Let r(t) = 4*p(t) - y(t). Let f be r(-4). Factor 99*b**3 + 1 - 95*b**3 - f + 4*b**2.
4*b**2*(b + 1)
Let n(q) be the second derivative of q**5/130 - 197*q**4/78 + 9400*q**3/39 + 30000*q**2/13 - 2*q - 97. Factor n(y).
2*(y - 100)**2*(y + 3)/13
Factor 79422*g - 13*g**2 - 79059*g + 10*g**2.
-3*g*(g - 121)
Let p(r) be the first derivative of -r**4/34 - 70*r**3/51 - 19*r**2 - 34*r + 1799. Suppose p(d) = 0. Calculate d.
-17, -1
Suppose z - 8*z + 21 = 0. Determine s, given that -s**2 - z*s**2 - 13*s - 37 + 31 - s**2 = 0.
-2, -3/5
Let a = 1091 + 833. Determine v so that -4*v**2 + 56*v + a - 1924 = 0.
0, 14
Determine h, given that -4*h**4 - 357*h**2 - 32*h - 81*h**3 + 6*h**4 + 473*h - 5*h**4 = 0.
-21, -7, 0, 1
Suppose -3*p + 18*g = 19*g + 6, 5*g = -2*p - 30. Let z(r) be the third derivative of 1/20*r**5 - 2*r**3 + p*r + 0 - 3/8*r**4 + r**2. Factor z(a).
3*(a - 4)*(a + 1)
Let q(y) be the second derivative of y**4/60 + 29*y**3/10 + 43*y**2/5 + 1345*y. Suppose q(d) = 0. Calculate d.
-86, -1
Let -34275/2*k**3 + 312*k**4 - 186042*k + 95457*k**2 - 3/2*k**5 + 122412 = 0. Calculate k.
2, 101
Let h = 25816 - 129044/5. Factor 18/5 - 14/5*y**2 - h*y.
-2*(y + 3)*(7*y - 3)/5
Let d(v) = -v**5 - v**4 - v**3 - v**2 - v. Let j(k) = 6*k**5 - 99*k**4 + 234*k**3 - 105*k**2 + 9*k. Let z(f) = 9*d(f) + j(f). Factor z(q).
-3*q**2*(q - 1)**2*(q + 38)
Let k(m) be the second derivative of m**6/15 + 6*m**5/5 + 37*m**4/6 + 14*m**3 + 16*m**2 + 51*m + 11. Find u, given that k(u) = 0.
-8, -2, -1
Determine f, given that -191/4*f**3 + 455/4*f - 267/4*f**2 + 3/4*f**4 + 0 = 0.
-7/3, 0, 1, 65
Let 0 + 134/9*h**4 - 26/9*h**5 - 16/9*h - 76/3*h**3 + 136/9*h**2 = 0. Calculate h.
0, 2/13, 1, 2
Let b be (-8 - 36*3/(-10)) + 12/(-15). Suppose -361/5 - 1/5*q**b + 38/5*q = 0. What is q?
19
Let q(o) be the third derivative of -o**7/525 + 257*o**6/300 - 731*o**5/5 + 153467*o**4/15 + 636056*o**3/15 + 434*o**2 - 2*o - 2. Factor q(v).
-2*(v - 86)**3*(v + 1)/5
Factor 0 - 30/7*r**3 + 96*r**2 - 1/7*r**4 - 2944/7*r.
-r*(r - 8)**2*(r + 46)/7
Let q(c) be the first derivative of 0*c**5 + 0*c**4 - 1/6*c**6 + 0*c**3 + 0*c**2 + 4*c - 35. Let h(w) be the first derivative of q(w). Factor h(f).
-5*f**4
Let t = 382 - 390. Let i be (93/(-496))/(1/t). What is m in -i*m**3 - 33/2*m - 3/2*m**4 + 27/2*m**2 + 6 = 0?
-4, 1
Let x = 560931 + -560928. Suppose -8/3 - 10*p + 2/3*p**5 - 20/3*p**x - 40/3*p**2 + 0*p**4 = 0. Calculate p.
-1, 4
Factor 3 - 19*c