 -2/7*m**3 + 0 + 2/7*m**5 - k*m**2 + 0*m + 4/7*m**4 = 0.
-2, -1, 0, 1
Let r(t) = t**2 - 45*t - t**2 + 4*t**3 + 41. Let f(h) be the first derivative of -h**4/4 + 9*h**2/2 - 8*h - 276. Let b(q) = 11*f(q) + 2*r(q). Factor b(v).
-3*(v - 1)**2*(v + 2)
Let z(u) be the second derivative of 0*u**2 + 16/27*u**4 + 1/135*u**6 + 1/9*u**5 - 9*u + 4 + 32/27*u**3. Factor z(i).
2*i*(i + 2)*(i + 4)**2/9
Suppose -24*f + 26*f = -32. Let m(i) = -216*i**3 + 156*i**2 + 96*i - 20. Let w(j) = 43*j**3 - 31*j**2 - 19*j + 4. Let c(n) = f*w(n) - 3*m(n). Factor c(b).
-4*(b - 1)*(2*b + 1)*(5*b - 1)
Let p(h) = -7*h**2 - 4998*h + 9829. Let i(v) = -v**2 - 832*v + 1638. Let x(l) = 39*i(l) - 6*p(l). Factor x(j).
3*(j - 818)*(j - 2)
Let -59 + 516 - 140 + 14 - 3*l**2 - 33*l - 91 = 0. What is l?
-16, 5
Let s(k) be the first derivative of 361*k**6/6 + 1881*k**5/5 - 626*k**4 - 1640*k**3 - 472*k**2 - 48*k + 1740. Find t, given that s(t) = 0.
-6, -1, -2/19, 2
Let i(y) be the third derivative of y**5/120 - 4*y**4 - 97*y**3/3 + 77*y**2. Factor i(q).
(q - 194)*(q + 2)/2
Let c(q) = q + 5. Let z(m) = -m**2 - 40*m - 200. Let i(x) = 4*c(x) + z(x). Factor i(d).
-(d + 6)*(d + 30)
Let d be ((-6)/(-11))/(-7 + 1705/242). Suppose -18*u - d*u**2 + 3/2*u**3 + 0 + 3/2*u**4 = 0. What is u?
-2, 0, 3
Let z = 4192 + -4189. Let y(t) be the third derivative of 0*t + 1/15*t**5 + 18*t**2 - 2/3*t**4 + 2*t**z + 0. Determine q so that y(q) = 0.
1, 3
Let c(w) be the second derivative of -w**5/40 - 3*w**4/4 - 47*w**3/12 - 15*w**2/2 - 11603*w. Factor c(r).
-(r + 1)*(r + 2)*(r + 15)/2
Let m(u) be the third derivative of -u**8/224 + 3*u**7/28 - 7*u**6/40 + 48*u**2. Solve m(x) = 0.
0, 1, 14
Let r(v) be the second derivative of -5*v**7/42 + 4*v**6 - 217*v**5/4 + 755*v**4/2 - 4270*v**3/3 + 2940*v**2 + 65*v + 1. Solve r(l) = 0 for l.
2, 6, 7
Let f(u) be the second derivative of 1/6*u**4 - 1/10*u**5 - 5*u - 1/15*u**6 + 0*u**2 - 2 + 1/3*u**3. Factor f(c).
-2*c*(c - 1)*(c + 1)**2
Factor 33/2 + 573/8*w + 663/8*w**3 + 927/8*w**2 + 177/8*w**4.
3*(w + 1)**3*(59*w + 44)/8
Let s(a) be the second derivative of -a**5/50 - 26*a**4/15 - 256*a**3/15 + 12288*a**2/5 - 98*a - 29. Solve s(y) = 0 for y.
-32, 12
Suppose 0 = -3*m + 15 + 3. Factor 26*v + m - 40 - 2*v**2 - 17 + 7.
-2*(v - 11)*(v - 2)
Suppose -5*u - 5*o = -5, 0 = 5*u - 2*o + 12 + 4. Let q be (-46)/161*(1 + u). Find j such that 0 + q*j**5 - 4/7*j**2 + 0*j - 8/7*j**4 + 10/7*j**3 = 0.
0, 1, 2
Let a = 133 - 9. Factor -10*t**4 + 52*t**4 + 5*t**5 + 374*t**2 - a*t**2 + 225*t**3 + 18*t**4.
5*t**2*(t + 2)*(t + 5)**2
Let y(c) = -24*c**3 + 35*c**2 - 12*c. Let f(w) = -w**4 - 25*w**3 + 34*w**2 - 11*w. Suppose -9 = -q - 4. Let n = q - 8. Let a(v) = n*y(v) + 4*f(v). Factor a(t).
-t*(t + 8)*(2*t - 1)**2
Suppose 0 = -t - 27 + 3. Let u be -6*t/(-30) + 5. Factor -2/5 + 1/5*s**3 + 2/5*s**2 - u*s.
(s - 1)*(s + 1)*(s + 2)/5
Let x(j) be the third derivative of 0*j + 1/15*j**5 + 11/6*j**4 - 52/3*j**3 - 130*j**2 + 0. Suppose x(y) = 0. Calculate y.
-13, 2
Factor -165/8 + 1/8*a**3 - 19/8*a**2 + 103/8*a.
(a - 11)*(a - 5)*(a - 3)/8
Let d(a) be the third derivative of a**5/20 + 9*a**4/4 - 20*a**3 + 11*a**2 - 4. Solve d(p) = 0.
-20, 2
Let m(z) be the first derivative of -3*z**5/100 + z**4/10 + 3*z**3/10 - 84*z + 18. Let t(a) be the first derivative of m(a). Factor t(k).
-3*k*(k - 3)*(k + 1)/5
Let k be -168*(-60)/17280*(-6)/(-28). Factor k + 1/8*w - 1/8*w**2 - 1/8*w**3.
-(w - 1)*(w + 1)**2/8
Suppose -5*i + 1 + 9 = u, -5 = -5*i. Suppose -1 = o + v, 0 = 2*o + u*v - 22 + 33. Determine c so that 5/2 - 5/4*c**o - 5/4*c = 0.
-2, 1
Let l = -4938/11 - -29683/66. Let y(g) be the third derivative of 0*g**3 + 29*g**2 + 0 - l*g**4 + 1/15*g**5 + 0*g. Solve y(j) = 0 for j.
0, 5
Let s be (-56)/(-448) + -13*1/(-24). Let c(h) be the first derivative of -16 - 7/6*h**4 - 2*h**3 - s*h**2 + 0*h. Solve c(q) = 0 for q.
-1, -2/7, 0
Suppose 4*f**2 + 53*f + 9 + 53*f**2 - 9*f**3 + 18*f**2 = 0. Calculate f.
-1/3, 9
Solve -60 - 33*v**2 - 59*v - 29*v**2 + 3*v**3 + 59*v**2 + 11*v = 0 for v.
-2, 5
Let o be (-11)/((-99)/(-1392))*1/2. Let h = o + 78. What is m in 2/9*m**3 + 0 + 4/9*m + h*m**2 = 0?
-2, -1, 0
Let q = -3/26963 - -26972/80889. Let h = 169/18 + -74/9. Determine b so that q + h*b**2 + 1/3*b**3 + 7/6*b = 0.
-2, -1, -1/2
Suppose l + 0 = -10. Let o be l/(-25) - (-63)/5. Factor p**3 - o*p + 2*p**3 - 2*p**2 + 7*p - p**2.
3*p*(p - 2)*(p + 1)
Let i = 49171 + -639221/13. Factor -58/13*g**2 - i*g**3 + 450/13 - 30*g.
-2*(g - 1)*(g + 15)**2/13
Let -3/2*p**2 - 24576 + 384*p = 0. Calculate p.
128
Factor 16/7*r**2 - 120/7 - 2/7*r**3 + 106/7*r.
-2*(r - 12)*(r - 1)*(r + 5)/7
Suppose 273 = -4*c - 3*o, 0*o = 4*o - 20. Let s be ((-16)/c*3)/(1/3). Let -30*d**3 + 33*d - 47*d + 20*d**s - 4*d**2 + 22*d - 18*d**4 = 0. What is d?
-2, -1/3, 0, 2/3
Let j be (-1 + (-43)/2)*90/(-135). Suppose 16 = 19*m - j*m. What is p in 1/3*p**m + 1/6*p**3 + 0*p + 0 - 1/3*p**2 - 1/6*p**5 = 0?
-1, 0, 1, 2
Let u be 1/((-1)/(-5)) + (42 - 44). Suppose -5*k = -q - 3, -5*k + q = 2*q + u. Suppose k - 2/15*m**2 - 8/15*m = 0. Calculate m.
-4, 0
Suppose 12*i - 6 = 30. Solve -3*z**i + 24 + 7*z + 204*z**2 - 170*z**2 - 90*z = 0.
1/3, 3, 8
Let q(h) be the second derivative of -h**4/20 - 14*h**3 + 423*h**2/10 - 19*h + 9. Factor q(o).
-3*(o - 1)*(o + 141)/5
Let j(h) = -7*h**5 - 8*h**4 + 15*h**3 - h**2 - 8*h - 9. Let w be ((-12)/3*-9)/(8/4). Let l(o) = o**5 - o**3 + o**2 + 1. Let i(n) = w*l(n) + 2*j(n). Factor i(u).
4*u*(u - 2)**2*(u - 1)*(u + 1)
Suppose 0 = 75*n + 93*n - 236*n + 204. Factor 8/7*b**4 + 8/7*b**2 + 2/7*b + 0 + 12/7*b**n + 2/7*b**5.
2*b*(b + 1)**4/7
Let g(v) be the third derivative of 0*v**4 + 1/420*v**8 + 0*v**3 + 8/525*v**7 + 97*v**2 + 0 + 0*v + 2/75*v**5 + 1/30*v**6. Factor g(b).
4*b**2*(b + 1)**2*(b + 2)/5
Let h(j) be the first derivative of 3*j**5/25 - 93*j**4/10 + 1441*j**3/5 - 4464*j**2 + 34560*j - 4475. Find f such that h(f) = 0.
15, 16
Let r = -7814/9 - -878. Let x = r - 343/36. Factor 3/2*u**3 - x*u**4 + 0 + 2*u - 3*u**2.
-u*(u - 2)**3/4
Let b = -4372050/19 - -230108. Let 10/19*d**3 + 0 - 4/19*d**2 - 8/19*d**4 + 0*d + b*d**5 = 0. Calculate d.
0, 1, 2
Let x be (-1592284)/(-1116) - (-2)/9. Find y such that -24*y + 10 + 6 - 1426*y**2 + x*y**2 + 3*y**4 + 6*y**3 - 2*y**4 = 0.
-4, 1
Suppose 22*j - 43 = 20*j - 5*h, -3*j - h = -32. Let l(k) be the third derivative of -1/150*k**5 + 0 + 1/30*k**4 + 0*k - j*k**2 + 1/5*k**3. Solve l(o) = 0 for o.
-1, 3
Determine s, given that -20*s + 79*s**3 - 29*s**4 + 18*s**4 + 86*s**3 - 12*s**5 - 67*s**3 + 137*s**2 - 12 = 0.
-2, -1/4, 1/3, 3
Let w be 4/(-8)*(-4)/14. Let i = -5207 + 36452/7. Factor w*s**3 + 3/7*s**2 - i*s**4 + 0 - 1/7*s.
-s*(s - 1)*(s + 1)*(3*s - 1)/7
Let d(u) = -9*u**2 - 12*u + 1617. Let x(j) = -335*j**2 - 445*j + 59830. Let o(g) = 75*d(g) - 2*x(g). Factor o(i).
-5*(i - 17)*(i + 19)
Let w(h) = -h**3 - 48*h**2 + 5. Let m be w(-48). Factor 4*q**2 + q**2 - 240*q + q**2 + 3600 + m*q**2 - 7*q**2.
4*(q - 30)**2
Suppose 4*u + 8*b + 4 = 11*b, -4*u + b + 4 = 0. Factor -33/5*r**u - 27 - 117/5*r - 3/5*r**3.
-3*(r + 3)**2*(r + 5)/5
Solve 1/5*r**3 + 959/5*r + 638/5 + 322/5*r**2 = 0.
-319, -2, -1
Let l(y) = -85*y**2 - 3945*y - 44965. Let n = 206 - 241. Let r(z) = -5*z**2 - 232*z - 2645. Let c(m) = n*r(m) + 2*l(m). Determine s so that c(s) = 0.
-23
Suppose 13*h - 210 = -22*h. Let q be h/(-51) + 468/510. Suppose -2/5*z**3 - 2*z + 8/5*z**2 + q = 0. What is z?
1, 2
Let t = -236341 + 236341. Let 8/3*z**3 + 2/3*z**4 + t*z + 0 + 2*z**2 = 0. What is z?
-3, -1, 0
Let y(v) be the first derivative of -19250*v**2 + 875*v**4 + 4840*v + 50455/2*v**3 - 91 + 8*v**5. Factor y(x).
5*(x + 44)**2*(4*x - 1)**2/2
Let m be 0*1/2*-2. Suppose x - 4*u = 51, 588*u - 593*u = 31*x - 33. Factor 2/3*s**x - 2/3*s + 2/3*s**4 + m - 2/3*s**2.
2*s*(s - 1)*(s + 1)**2/3
Let z(t) be the third derivative of t**7/210 - t**5/30 + t**3/6 - 467*t**2. Suppose z(b) = 0. What is b?
-1, 1
Factor -173211*h**2 - 368*h + 1 - 224*h + 173215*h**2 - 1.
4*h*(h - 148)
Let h be 162/39 + 12/(-78). Suppose -9 = -3*q, 0*q = -4*z + h*q. Factor 8*u**4 + 37*u**3 - 15*u - 16 - 19*u**z - 57*u - 28*u**2.
2*(u - 2)*(u + 2)**2*(4*u + 1)
Let -1496*s**5 + 312*s - 6*s + 264*s - 81*s - 90 - 510*s**2 - 63*s**3 + 150*s**4 + 1520*s**5 = 0. What is s?
-6, -5/2, 1/4, 1
Solve 36*j**3 - 1111550*j + 14 + 27*j**3 