 p**2 - s*p**4 + 8/9*p**3 - 1/60*p**6 - 1/9*p**5 + 0. Factor g(l).
-2*(l + 2)**2*(3*l - 2)/3
Suppose 0 = 8*o - 61 + 5. Let r(d) be the first derivative of -1/3*d**6 - 32/3*d**3 - 9*d**2 - 4*d + o - 12/5*d**5 - 7*d**4. Let r(q) = 0. What is q?
-2, -1
Factor 2*m**2 - m**2 - 489 - 1462 - 254 - 6*m**2 - 210*m.
-5*(m + 21)**2
Let q(g) = -30*g**3 - 240*g**2 - 390*g - 145. Let w(k) = 5*k**3 + 40*k**2 + 65*k + 24. Let h(v) = 6*q(v) + 35*w(v). Factor h(p).
-5*(p + 1)**2*(p + 6)
Factor -2/11*u**2 + 12/11*u + 14/11.
-2*(u - 7)*(u + 1)/11
Let z(j) be the first derivative of j**5/5 - 3*j**4/10 - 8*j**3/5 - j**2 + 3*j/5 + 28. Suppose z(i) = 0. Calculate i.
-1, 1/5, 3
Suppose 0 = 11*u - 12*u + 1. Let v be -4*(1/(-2))/(u - -2). Factor 6*i**2 + v + 4*i.
2*(3*i + 1)**2/3
Let s = 9 - 2. Suppose 0 = s*x - 19 - 2. Suppose 0*p**2 + 0 - 2/9*p**4 + 0*p + 0*p**x = 0. Calculate p.
0
Factor 14/9*i**4 - 8/9*i**2 + 0 + 0*i + 8/3*i**3.
2*i**2*(i + 2)*(7*i - 2)/9
Let g = -7571 - -22714/3. Suppose 0 - g*z**2 - 1/3*z**3 + 2/3*z = 0. Calculate z.
-2, 0, 1
Let w = 31 + -29. Suppose 5*n = -5*d + 60, -w*n + 0*n = d - 24. Let 4*i - 2*i**3 - 5*i**3 + 0*i**3 + n*i**2 = 0. Calculate i.
-2/7, 0, 2
Let y(z) be the third derivative of 1/2*z**3 + 0 - 1/4*z**4 + 0*z - 3/20*z**5 + 2*z**2. Factor y(l).
-3*(l + 1)*(3*l - 1)
Let p be 3 - (3 - 2)*2. Suppose 35*n - 18 = 38*n. Let l(j) = j + 1. Let t(u) = -6*u**3 + 16*u**2 - 8*u + 10. Let w(b) = n*l(b) + p*t(b). Solve w(y) = 0 for y.
2/3, 1
Let s(n) be the first derivative of 3*n - 9 + 1/6*n**3 + 5/4*n**2. Factor s(d).
(d + 2)*(d + 3)/2
Let v(y) be the first derivative of -y**3/15 + 3*y**2/10 + 2*y - 143. Suppose v(a) = 0. What is a?
-2, 5
Factor 80*k + 54 - 17*k**2 + 6 + 20*k**4 - 45*k**3 + 2*k**2 - 30*k**2.
5*(k - 2)**2*(k + 1)*(4*k + 3)
Let j(r) be the first derivative of -2*r**3/9 - 65*r**2/3 + 268*r/3 + 394. Find g such that j(g) = 0.
-67, 2
Let w(k) be the third derivative of -k**6/40 + 3*k**5/10 + k**4/8 - 3*k**3 + k**2 + 26*k. Suppose w(v) = 0. Calculate v.
-1, 1, 6
Let o(c) be the second derivative of -c**7/10080 - c**6/1440 - c**5/480 + 11*c**4/12 + 10*c. Let h(l) be the third derivative of o(l). Solve h(k) = 0.
-1
Let u(j) be the third derivative of j**5/360 + 35*j**4/18 + 4900*j**3/9 + 134*j**2. Factor u(i).
(i + 140)**2/6
Suppose 2*u = 3*u - 5. Suppose -u*g - 4*p - 2 = 0, -3*g + g + 2*p = -10. Factor 5*k + 2*k**g + k**2 + k.
3*k*(k + 2)
Let b(w) be the first derivative of -34*w**3 - 253*w**2 + 20*w - 1008. Solve b(r) = 0.
-5, 2/51
Suppose 138 = -4*h + 27*h. Let j(q) be the third derivative of -1/108*q**6 + 1/108*q**4 + h*q**2 + 0*q + 0 + 2/135*q**5 + 0*q**3. Factor j(r).
-2*r*(r - 1)*(5*r + 1)/9
Suppose 2*k - 21 = -3*g, 31*k - 29*k - g - 1 = 0. Factor 7/5*d**2 + d**4 - 14/5*d**k + 0 + 2/5*d.
d*(d - 2)*(d - 1)*(5*d + 1)/5
Let x = -8 - -12. Let t be x - (6 - (0 + 2)). Factor 8*v**3 - 4*v**2 + 4*v**4 + 3*v**2 + t*v**3 + 5*v**2.
4*v**2*(v + 1)**2
Suppose 17 - 26 = -3*x. Suppose 0 = x*y - 8*y + 2*q + 19, 2*y - 8 = q. Factor 0 - 1/5*l**y + 0*l - 1/5*l**2.
-l**2*(l + 1)/5
Let d(p) be the first derivative of 2/27*p**3 + 4 - 2/9*p**2 + 0*p. Determine m so that d(m) = 0.
0, 2
Let j(c) be the second derivative of 0*c**3 - 2 - 3/20*c**5 + 0*c**2 + 4*c - 1/4*c**4. Find t such that j(t) = 0.
-1, 0
Find p such that 3721/4 + 61/2*p + 1/4*p**2 = 0.
-61
Let l(b) be the second derivative of 0*b**2 + 0*b**3 - 1/20*b**5 - 1/60*b**6 + 0*b**4 - 13*b + 0. Solve l(s) = 0.
-2, 0
Let y be (8*(-3)/(-18))/((-61)/(-122)). Let y*u**3 + 4/3*u + 0 + 2/3*u**4 + 10/3*u**2 = 0. Calculate u.
-2, -1, 0
Let b(a) be the second derivative of a**5/35 + a**4/7 - 20*a**3/21 + 117*a. Find k such that b(k) = 0.
-5, 0, 2
Let f = -25003/3 + 8336. Solve 1/6*t**2 + f*t + 25/6 = 0.
-5
Let g(j) be the first derivative of -j**5/45 + 5*j**4/36 - 8*j**3/27 + 2*j**2/9 + 38. Factor g(o).
-o*(o - 2)**2*(o - 1)/9
Let a(r) be the second derivative of r**9/3024 - r**7/168 + r**6/72 - 7*r**4/6 + 13*r. Let z(q) be the third derivative of a(q). Factor z(b).
5*b*(b - 1)**2*(b + 2)
Solve -50/3 + 5/3*u**3 - 95/3*u - 40/3*u**2 = 0 for u.
-1, 10
Let a(d) = -d**3 - 4*d**2 + 4*d - 3. Let f be a(-5). Determine t so that -4 + t**4 - 11 + 15 - t**f = 0.
-1, 0, 1
Determine s so that -12 - 34/7*s - 2/7*s**2 = 0.
-14, -3
Suppose -5*s + 5 = 2*k - 32, -5*k + 3*s + 46 = 0. Let r be 24/40*(k/4 - -1). Factor -r*g**3 - 15/4*g + 3/4 + 21/4*g**2.
-3*(g - 1)**2*(3*g - 1)/4
Suppose 2*j = -0*j + 3*m, -2*j = -4*m. Let q(f) be the first derivative of -3 + 0*f**2 + j*f + 2/33*f**3. Factor q(b).
2*b**2/11
Suppose -8*i + 6 = -5*i. Factor 0*d**2 + 12*d - 2*d**i - 14*d.
-2*d*(d + 1)
Let c(y) = 2*y**2 + 17*y + 10. Suppose 0 = -4*s - 2*f - 23 + 1, -s - f - 3 = 0. Let r be c(s). Factor 2/3 + 8/9*n + 2/9*n**r.
2*(n + 1)*(n + 3)/9
Let b(m) be the third derivative of -m**6/240 + m**5/80 + 3*m**3/2 + 23*m**2. Let r(y) be the first derivative of b(y). Suppose r(i) = 0. Calculate i.
0, 1
Let f = -1/734 - -1479/8074. Factor -10/11*n**3 + 2/11*n**5 + 8/11 + 2/11*n**2 + 16/11*n - f*n**4.
2*(n - 2)**2*(n + 1)**3/11
Let q be 124/(-28) - -4 - ((-33)/77 + 0). Let k(u) = u**3 - 6*u**2 + u - 3. Let b be k(6). Factor -3/2*r**b + q*r + 3/2*r**2 + 0.
-3*r**2*(r - 1)/2
Suppose -4*z + 9*z = 20. Factor 0*n**4 + 3*n**3 + n + 33*n**2 - 2*n**4 + 3*n**z - 30*n**2.
n*(n + 1)**3
Let -182 + 15*k**2 + 3*k**5 + 58 + 12*k + 57 - 15*k**3 - 3*k**4 + 55 = 0. What is k?
-2, -1, 1, 2
Suppose 0 = 3*d + 5*y - 32, 5*y - 17 = 3. Suppose -49 + 2*f**5 + 4*f**d + 49 - 4*f**2 - 2*f = 0. What is f?
-1, 0, 1
Suppose -69*a**5 + 6*a**2 + 126*a**5 - 6*a**4 + 3*a**3 - 60*a**5 = 0. What is a?
-2, -1, 0, 1
Let c(n) be the third derivative of n**5/240 - 11*n**4/48 + 2*n**2 - 20. Factor c(s).
s*(s - 22)/4
Let p(b) be the first derivative of b**3 - 240*b**2 + 19200*b + 25. Factor p(n).
3*(n - 80)**2
Solve 0 - 75/4*o**2 + 5/4*o**3 + 35/2*o = 0.
0, 1, 14
Let x(l) = l**2. Let b = 17 + -17. Let r(k) = 21*k**2 - 5*k**2 + b*k**2 - 4*k. Let s(o) = -r(o) + 12*x(o). Factor s(h).
-4*h*(h - 1)
Let k(o) be the second derivative of o**5/510 + o**4/102 + 23*o**2/2 - 6*o. Let n(b) be the first derivative of k(b). Let n(r) = 0. What is r?
-2, 0
Let y = -22 + 34. Let c = 23 - y. Suppose 3*b**2 + 11 - c + 6*b = 0. What is b?
-2, 0
Determine x, given that 6/5*x**2 + 0 - 1176/5*x = 0.
0, 196
Let l(v) = -3*v + 49. Let r be l(15). Let x(s) be the first derivative of -5*s**2 - 2 + r*s + 4/3*s**3. Factor x(i).
2*(i - 2)*(2*i - 1)
Let d(s) be the first derivative of -2*s**5/25 + s**4/10 + 14*s**3/15 - 13*s**2/5 + 12*s/5 - 114. Find q, given that d(q) = 0.
-3, 1, 2
Let o(a) be the third derivative of -39/20*a**5 + 37/40*a**6 - 2*a**2 + 0*a + 0 + 37/70*a**7 + a**3 - 1/8*a**4 - 9/28*a**8. Suppose o(p) = 0. Calculate p.
-1, -2/9, 1/4, 1
Factor 0*r + 58/5*r**3 - 4/5*r**2 + 0.
2*r**2*(29*r - 2)/5
Let z(b) be the second derivative of 7*b**6/25 + 22*b**5/25 + 5*b**4/6 + 2*b**3/15 + 183*b - 2. What is l in z(l) = 0?
-1, -2/21, 0
Let z = 3/3917 + 46971/43087. Factor -z*h + 2/11*h**2 + 16/11.
2*(h - 4)*(h - 2)/11
Suppose -269*n + 159*n = -137*n + 54. Solve 2/15*a**3 - 8/15*a**n + 8/15*a + 0 = 0 for a.
0, 2
Let o = -4 - -8. Suppose o = -0*g + 2*g. Factor -7*x**g - 10*x**2 + 5*x**2 - 2 + 0 - 11*x.
-(3*x + 2)*(4*x + 1)
Suppose 2*z + 236 = -114. Let r = z + 2277/13. What is a in -r*a + 0*a**2 + 0 + 2/13*a**3 = 0?
-1, 0, 1
Suppose -2*q - 5 = -3*k, 14 + 2 = 2*k + 5*q. Let a(s) be the first derivative of 0*s + 1/18*s**3 - 1/8*s**4 - k + 0*s**2. Determine j, given that a(j) = 0.
0, 1/3
Let u = 43 - 39. Suppose 3*l**4 + 2*l**u + 54*l - 4 - 20 - 33*l**2 - 2*l**4 = 0. What is l?
-4, 1, 2
Determine n so that 77*n**4 - 74*n**4 + 105*n**2 - 17*n**3 - 55*n**3 + 0*n**3 - 36*n**3 = 0.
0, 1, 35
Let z(y) be the first derivative of -y**5/10 + 3*y**4/8 + 16*y**3/3 + 15*y**2 + 16*y + 27. Factor z(a).
-(a - 8)*(a + 1)*(a + 2)**2/2
Let h(r) be the first derivative of -1/3*r**3 - r**4 + r**2 + 1/3*r**6 + 1/10*r**5 + 1/2*r - 2. Solve h(j) = 0 for j.
-1, -1/4, 1
What is d in 512/3 - 1088/3*d + 214*d**2 - 68/3*d**3 + 2/3*d**4 = 0?
1, 16
Let g(f) be the first derivative of -2*f**5/15 + f**4/3 + 14*f**3/9 + 4*f**2/3 - 153. Determine k, given that g(k) = 0.
-1, 0, 4
Suppose 0*w - 4*w - 4 = 0. Let h(n) = -20*n**2 - 32*n - 20. Let a(f) = f**2 + 