 20 = -l*q. Let p(b) = q*h(b) - 2*o(b). Factor p(m).
3*(m + 2)**2
Let a = 208169/4 + -52040. Let i = 3/2 + 0. Let -3/8*y + i*y**2 - 3/8*y**3 - a = 0. Calculate y.
-1, 2, 3
Let n(c) be the first derivative of -62 + 1/3*c**3 + 17/8*c**2 + 15/4*c. Let n(v) = 0. What is v?
-3, -5/4
Let v be (147/(-4998))/(39/(-2652)). What is b in -7225/2 - 85*b - 1/2*b**v = 0?
-85
Suppose 59*a = 57*a + 135*a. Factor 5/2*k - 2*k**2 + a - 1/2*k**3.
-k*(k - 1)*(k + 5)/2
Let p(k) be the third derivative of -4*k**2 - 1/1980*k**6 + 1/132*k**4 - 2/3*k**3 + 0*k + 0*k**5 + 0. Let o(m) be the first derivative of p(m). Factor o(j).
-2*(j - 1)*(j + 1)/11
Let s(k) be the second derivative of -k**4/6 + k**3 + 4*k**2 + k + 440. Factor s(x).
-2*(x - 4)*(x + 1)
Let m = -415 - -411. Let a(v) = 11*v**2 + 15*v. Let b(x) = -5*x**2 - 3*x - 2*x - 2*x. Let o(d) = m*a(d) - 9*b(d). Factor o(n).
n*(n + 3)
Let y = -580673 + 580675. What is t in 1/3*t**y + 2/3 + t = 0?
-2, -1
Let o(l) be the second derivative of -l**7/3 + 4*l**6/5 + 5*l**5/2 + l**4 + 520*l. Solve o(q) = 0 for q.
-1, -2/7, 0, 3
Let g = -303 - -326. Let f be (-234)/18 - -18 - g/5. Factor -6/5*u - 2/5 - f*u**3 - 6/5*u**2.
-2*(u + 1)**3/5
Let x be (-73 + 7)/((-147)/14). Factor 46/7*o + 2/7*o**2 + x.
2*(o + 1)*(o + 22)/7
Let j(o) be the third derivative of 0*o**3 - 1/18*o**4 + 7/270*o**5 + 7*o**2 + 4 + 0*o - 1/540*o**6. Solve j(i) = 0.
0, 1, 6
Let u(i) be the second derivative of 0 - i - 1/66*i**4 - 7/33*i**3 - 10/11*i**2. Factor u(o).
-2*(o + 2)*(o + 5)/11
Let g(s) = 2*s**3 + 3*s**2 - 3*s - 29. Let i be g(-6). Let z = -335 - i. Suppose 0*y + 5/4*y**3 - 5/2*y**2 + z = 0. Calculate y.
0, 2
Let i(d) be the third derivative of d**7/6300 - d**6/1800 - d**5/150 - 19*d**4/12 - 32*d**2. Let w(r) be the second derivative of i(r). Solve w(x) = 0 for x.
-1, 2
Let k(n) = 20*n**2 - 195*n - 510. Let r(q) = 23*q**2 - 203*q - 510. Let u(h) = -6*k(h) + 5*r(h). Factor u(z).
-5*(z - 34)*(z + 3)
Factor 98/9*o + 172/3 + 2/9*o**2.
2*(o + 6)*(o + 43)/9
Suppose -704 = -21*w - 284. Suppose -188*g - w = -198*g. Factor 1/2*j**g + 0 + 3*j.
j*(j + 6)/2
Let d(l) be the second derivative of -5/6*l**3 + 0*l**2 - 1/4*l**5 + 5/6*l**4 - 48*l + 0. Determine z so that d(z) = 0.
0, 1
Let t be (1 - (3 - (-9 - -17)))*15/42. Factor -12/7 - 3/7*l**2 + t*l.
-3*(l - 4)*(l - 1)/7
Suppose 470*z - 958*z - 198 = -521*z. Solve -1/3*w**2 - 11/3*w - z = 0 for w.
-9, -2
Let w(v) = -51*v - 4536. Let x be w(-89). Suppose -2*f = 3*f - 20. Find j, given that -5*j**2 + 3/2*j**5 + f*j**4 + 1 - 3/2*j + 0*j**x = 0.
-2, -1, 1/3, 1
Let y(a) be the second derivative of 0*a**3 + 8/5*a**5 + 0*a**2 + 0 + 4/3*a**4 - 67*a - 6/7*a**7 - 2/5*a**6. Suppose y(c) = 0. Calculate c.
-2/3, 0, 1
Let r(s) be the second derivative of 19/6*s**3 - 45*s - s**2 + 7/4*s**4 - 2. Factor r(k).
(k + 1)*(21*k - 2)
Let v(k) = -k**2 - 8*k + 5. Let x be 5*-3*2/6. Let n(j) = 4*j - 21 - j + 5*j + 2*j**2 + 15. Let i(b) = x*n(b) - 6*v(b). Factor i(t).
-4*t*(t - 2)
Let q = -78 - -65. Let h = q + 43. Let 25*w**3 + 227*w - 30 - h - 67*w - 5*w**5 + 15*w**4 - 135*w**2 = 0. Calculate w.
-3, 1, 2
Let o(n) = -15*n**3 - 123*n**2 - 55*n - 13. Let a(m) = -8*m**3 - 66*m**2 - 28*m - 6. Let h(w) = 11*a(w) - 6*o(w). Factor h(y).
2*(y + 1)*(y + 2)*(y + 3)
Solve 224/9*a**2 + 2/9*a**3 + 11236/3 + 6890/9*a = 0.
-53, -6
Let q(h) = -h**3 + 10*h**2 + 26*h - 21. Let n be q(12). Let -14*p + 4*p**n + 8*p**3 - 21*p**3 + 33*p**2 + 12 - 22*p = 0. Calculate p.
2/3, 1, 2
Let q be (1695/2970)/(0 - 13/(-2)). Let p = 11/117 + q. Factor -14/11*s**3 - 8/11*s**4 + 0 - 4/11*s**2 + p*s.
-2*s*(s + 1)**2*(4*s - 1)/11
Suppose -403*t - 84 - 223/2*t**2 + 9/2*t**3 = 0. What is t?
-3, -2/9, 28
Solve 18/13*d**2 + 48 + 2812/13*d = 0 for d.
-156, -2/9
Let v(f) = -5*f**2 + 12*f + 26. Let u(q) = 3*q**2 - q + 1. Let b(i) = -7*i**2 + 25*i + 54. Let y(h) = b(h) - u(h). Let o(s) = 13*v(s) - 6*y(s). Factor o(w).
-5*(w - 2)*(w + 2)
Let h(w) = -5*w**2 + 20. Let r(f) = f**2 + 3*f - 8. Let k be r(-4). Let x(q) = 5*q**2 - q - 22. Let a(i) = k*h(i) - 5*x(i). Factor a(l).
-5*(l - 3)*(l + 2)
Let o(b) be the second derivative of b**4/24 - 211*b**3/6 + 44521*b**2/4 + 1019*b. Suppose o(z) = 0. Calculate z.
211
Let z(p) be the first derivative of 1/20*p**4 + 1/100*p**5 + 19 + 22*p + 0*p**2 + 1/15*p**3. Let o(h) be the first derivative of z(h). Factor o(a).
a*(a + 1)*(a + 2)/5
Let q(k) = -2*k**2 - 48*k + 93. Let l be q(-26). Let s(x) = 5*x**2 - 77*x - 71. Let a(d) = -3*d**2 + 39*d + 36. Let g(v) = l*a(v) - 6*s(v). Factor g(o).
3*(o + 1)*(o + 10)
Suppose -4*w + 2*d - 78 = 0, 0 = 18*w - 14*w - d + 75. Let k be ((-24)/w*3)/10. Suppose -8/5*g + k*g**5 - 4*g**2 + 2/5*g**3 + 8/5*g**4 + 16/5 = 0. Calculate g.
-2, 1
Let m = -365595 - -731207/2. Determine v so that -5*v**2 - 4 + 1/2*v**3 + m*v = 0.
1, 8
Let j be (1/((-6)/9))/((-3)/6). Find o such that 7*o**5 + 1 - 23*o**j + 5*o**4 - 5 + 2*o**2 - 3*o**2 + 16*o = 0.
-2, -1, 2/7, 1
Let n(c) be the second derivative of c**4/27 - 34*c**3/27 + 32*c**2/9 - 1710*c. Factor n(x).
4*(x - 16)*(x - 1)/9
Let k = -9978 + 9978. Let a(h) be the third derivative of 0*h**4 - h**2 + 1/12*h**5 + 0 + k*h**3 + 0*h + 1/12*h**6 + 1/42*h**7. Solve a(f) = 0.
-1, 0
Let a(h) be the third derivative of h**6/96 + h**5/24 - 55*h**4/96 - 5*h**3/2 + 272*h**2. Determine p, given that a(p) = 0.
-4, -1, 3
Let m = 78795 - 236381/3. Suppose m*w + 0 + 40/3*w**3 + 106/9*w**2 = 0. What is w?
-3/4, -2/15, 0
Let u(d) be the first derivative of 0*d**4 + 0*d**2 - 28/3*d**3 + 0*d - 1/18*d**6 + 3/10*d**5 + 30. Let t(z) be the third derivative of u(z). Factor t(j).
-4*j*(5*j - 9)
Determine r so that -646/7 + 648/7*r - 2/7*r**2 = 0.
1, 323
Let l(h) be the second derivative of h**5/210 - h**4/84 - 2*h**3/7 - 22*h**2 - 97*h. Let v(m) be the first derivative of l(m). Factor v(q).
2*(q - 3)*(q + 2)/7
Let q = 3/32504 + 195003/227528. Let -12/7*j**2 + 18/7*j - 36/7*j**3 + 6/7*j**4 + 18/7*j**5 + q = 0. Calculate j.
-1, -1/3, 1
Find u such that -67/7*u + 34/7 + 32/7*u**2 + 1/7*u**3 = 0.
-34, 1
Factor 276 - 7*o**3 - 3*o**3 + 11*o**3 - 2895*o - 1446*o**2 - 1724 + 0*o**3.
(o - 1448)*(o + 1)**2
Factor -15*y - y + 43544 - 43556 + 28*y**2.
4*(y - 1)*(7*y + 3)
Let a(o) be the third derivative of o**6/300 - 134*o**5/75 + 533*o**4/60 - 266*o**3/15 - 2*o**2 - 390*o + 4. Find x such that a(x) = 0.
1, 266
Let u be 377/116*166/5395. Factor -1/10*p**4 - 2/5*p**3 + 3/5*p - u*p**2 + 0.
-p*(p - 1)*(p + 2)*(p + 3)/10
Let m(p) = p**3 - 23*p**2 + p + 3. Let j be m(23). Suppose -169 + j*x - 26*x**2 + 13*x**2 + 12*x**2 = 0. What is x?
13
Let l(v) be the first derivative of -v**6/540 - 7*v**5/90 + 14*v**3 - 35. Let y(r) be the third derivative of l(r). Factor y(k).
-2*k*(k + 14)/3
Let v(i) be the second derivative of i**7/42 + i**6/5 - 7*i**5/20 - 8*i**4 - 24*i**3 + 755*i. Factor v(x).
x*(x - 4)*(x + 3)**2*(x + 4)
Find d, given that -3*d**2 + 35679*d + 8*d**4 - 35715*d + 36*d**3 - 5*d**4 = 0.
-12, -1, 0, 1
Let n(d) = 4*d**4 + 250*d**3 - 3072*d**2 + 12298*d + 20. Let b(y) = y**4 + 83*y**3 - 1024*y**2 + 4099*y + 6. Let z(v) = -10*b(v) + 3*n(v). Factor z(f).
2*f*(f - 16)**2*(f - 8)
Let k = -822 + 2540/3. Suppose 3*z - 5 = -w, -57*w + 55*w = 4*z - 6. Suppose -k*y**z + 8/3 + 40/3*y**3 - 16/3*y = 0. Calculate y.
-2/5, 1/4, 2
Let j(k) = -3*k + 99. Let p be j(32). Let n be p/(-12) + (-1 - (-57)/20). Factor 0*c - n*c**2 + 4/5 + 4/5*c**4 + 0*c**3.
4*(c - 1)**2*(c + 1)**2/5
Suppose -10*x - 14 = -22 - 142. Let w = 2 + 0. Suppose -x*m - 19*m**3 + 25*m**w - m**5 + 6 + 7*m**4 - 2 - m = 0. What is m?
1, 2
Let t(c) be the second derivative of 19*c**5/4 + 50*c**4/3 + 115*c**3/6 + 5*c**2 - 9*c - 10. Suppose t(q) = 0. What is q?
-1, -2/19
Let z(m) be the third derivative of 8/9*m**3 - 2/45*m**5 + 2/45*m**6 + 1/1008*m**8 - 2/9*m**4 - 1/90*m**7 - 2*m**2 + 0 + 0*m. Let z(t) = 0. Calculate t.
-1, 2
Let a(i) be the first derivative of i**4/4 - 5*i**3/3 - 4819. Suppose a(y) = 0. Calculate y.
0, 5
Suppose -3*v + 138 = 3*t + 162, -7*t - 12 = 3*v. Factor 43/3*g + 7/3 + 3*g**t + 23*g**2.
(g + 7)*(3*g + 1)**2/3
Let n(o) be the second derivative of -o**4/6 + 7*o**3/6 + 3*o**2/2 + 2*o - 27. Let d(c) = c**2 - c. Let m(y) = 3*d(y) + n(y). Factor m(r).
(r + 1)*(r + 3)
Let g(p) be the first derivative of p**8/1680 - p**6/72 + p**4/6 - 59*p**3/3 + 6. Let s(z) b