 - 136/7*b**3.
4*(b - 10)*(b + 1)**4/7
Let v(p) be the third derivative of -p**5/30 - 7*p**4/12 - 4*p**3 + 2*p**2 + 716*p. Factor v(g).
-2*(g + 3)*(g + 4)
Let h(w) = -4*w**3 + 7*w**2 - 18*w + 12. Let r(l) = 7*l**3 - 14*l**2 + 35*l - 23. Suppose 11*i - 9 = 8*i. Let j(q) = i*r(q) + 5*h(q). Factor j(c).
(c - 3)**2*(c - 1)
Factor 20/3*o**2 + 0 - 128*o.
4*o*(5*o - 96)/3
Suppose 76*n = 71*n + 55. Find x such that 9848*x**2 - n + 2*x**3 + 39 + 10*x - 9864*x**2 = 0.
-1, 2, 7
Let 268/9*h**2 + 104/3*h + 16 + 8/3*h**4 + 38/3*h**3 + 2/9*h**5 = 0. What is h?
-3, -2
Suppose -82 - 49*u**2 - 31*u**5 + 87*u**2 - 124*u**3 + 44*u**4 + 125*u + 30*u**5 = 0. Calculate u.
-1, 1, 2, 41
Let i(t) = -13*t**2 - 8*t - 23. Let z(p) = 17*p + 167. Let x be z(-10). Let c(g) = 10*g**2 + 9*g + 24. Let k(u) = x*i(u) - 4*c(u). Solve k(v) = 0 for v.
-9, -3
Let v(s) = -15 + 3*s**2 - 18*s + 0*s - 12*s**2. Let b = -2725 - -2722. Let t(m) = m**3 - 17*m**2 - 37*m - 29. Let x(j) = b*t(j) + 5*v(j). Factor x(p).
-3*(p - 4)*(p + 1)**2
Suppose 2*t - 18 = 92*k - 88*k, -4*k - 33 = -5*t. Let s be (-1)/(1/k) - 40/24. Solve s + 1/3*b - 1/3*b**3 - 1/3*b**2 = 0.
-1, 1
Let p be ((-10)/(-77))/(((-1865)/1119)/(35/(-3))). Suppose -38/11*m**2 - 2*m**3 + 6/11 - p*m = 0. What is m?
-1, 3/11
What is y in 18 + 75/4*y - 33/4*y**2 = 0?
-8/11, 3
Let a(k) = -3*k**2 + 32*k - 287. Let q(d) = -d**2 - d + 1. Let x be 16/(-7) + (-32)/(-112). Let t(z) = x*q(z) + a(z). Factor t(w).
-(w - 17)**2
Let u be -10 - (-5203)/301 - (-10)/(1*-2). Let m(l) be the second derivative of -4 + 1/42*l**4 - 7*l + u*l**2 + 8/21*l**3. Find t such that m(t) = 0.
-4
Let w be ((-444)/999)/(4/(-3)). Solve w*z**2 - 12 - 3*z = 0.
-3, 12
Factor -105*r**2 + 2176*r + 65*r**2 - 938 + 42*r**2 - 1240.
2*(r - 1)*(r + 1089)
Let q(u) be the first derivative of 7*u**5 - 5*u**4/2 - 35*u**3 + 50*u**2 - 20*u - 146. Factor q(k).
5*(k - 1)**2*(k + 2)*(7*k - 2)
Let v(d) be the first derivative of -117/2*d**2 - 221 - 1/4*d**4 - 8*d**3 + 338*d. Factor v(l).
-(l - 2)*(l + 13)**2
Factor -4620601*r**2 + 7500*r - 198 + 4617391*r**2 - 35*r**3 - 1682.
-5*(r - 2)*(r + 94)*(7*r - 2)
Let l = -235966 + 2124032/9. Factor -l - 2/9*r**2 - 52/9*r.
-2*(r + 13)**2/9
Let s be (2/(-3))/(-4 - (-36780)/9198). Let y be (12/10)/(s/70 + -7). Solve -6*c**5 + 120*c**2 + c**5 + 40*c**y - 110*c**3 - 260*c + 215*c = 0 for c.
0, 1, 3
Let w(a) = 6*a**4 - 18*a**2 - 16*a. Let o(p) = 5*p**4 - 17*p**2 - 15*p. Let c be (4 + -14)*(-4)/10. Let l(z) = c*o(z) - 3*w(z). Let l(b) = 0. What is b?
-2, -1, 0, 3
Let l be 72 + (-294)/(-63) + 1/3. Let d be 8/(-10)*(-110)/l. Factor 2/7*q**4 + 10/7*q**2 + 0 + 4/7*q + d*q**3.
2*q*(q + 1)**2*(q + 2)/7
Let c(h) be the second derivative of 16/63*h**7 + 0 - 104/15*h**6 - 345*h**4 + 723/10*h**5 + 684*h**3 - 648*h**2 + 164*h. Let c(x) = 0. Calculate x.
3/4, 6
Let q(w) = -9*w**2 - 24*w - 79. Let o(a) be the first derivative of -4*a**3/3 - 6*a**2 - 39*a - 7. Let r(b) = 7*o(b) - 3*q(b). Factor r(k).
-(k + 6)**2
Let z(y) be the second derivative of 10/3*y**6 + 0*y**3 + 0 - 10/3*y**7 - 5/6*y**4 + 0*y**2 + 1/4*y**5 - 40*y. Factor z(k).
-5*k**2*(2*k - 1)**2*(7*k + 2)
Let m(o) be the first derivative of 32/3*o**3 + 0*o - 6 + 0*o**2 + 2/45*o**5 - 4/3*o**4. Factor m(z).
2*z**2*(z - 12)**2/9
Let s(n) = n**3 - 12*n**2 + 12*n - 9. Let a = 624 + -613. Let f be s(a). Factor -1/6*d + 1/6*d**f - 1/3.
(d - 2)*(d + 1)/6
Let 1/2*d**5 - 25*d**3 + 33/4*d**4 + 49/2*d + 57/4 - 45/2*d**2 = 0. What is d?
-19, -1, -1/2, 1, 3
Let d = -365 + 377. Let k be ((-2)/4)/(d/(-72)). Find r such that 4/11 + 28/11*r**k + 12/11*r**4 + 32/11*r**2 + 18/11*r + 2/11*r**5 = 0.
-2, -1
Let t be 4 - (142/(-9) - 6/27). Factor 64*d**2 + 16*d - 25*d**4 + t*d**3 + 19*d**2 - 11*d**4 + 8*d**4 - 19*d**2.
-4*d*(d - 2)*(d + 1)*(7*d + 2)
Let j(f) be the second derivative of 25/4*f**4 + 0 - 15/2*f**3 + 35*f - 1/6*f**5 + 1/540*f**6 + 0*f**2. Let m(r) be the second derivative of j(r). Factor m(k).
2*(k - 15)**2/3
Suppose 3*l = 15, -4*l - l + 685 = 5*u. Solve 87 + u*x**2 + 40*x**3 - 35 + 4*x**4 + 166*x + 12 - 6*x = 0 for x.
-4, -1
Let j(x) be the second derivative of 1369*x**6/105 - 1406*x**5/35 + 253*x**4/7 - 76*x**3/21 + x**2/7 - 1927*x. What is s in j(s) = 0?
1/37, 1
Let n(f) = -2*f**3 - 192*f**2 - 332*f - 192. Let r(l) = 8*l**2 + l - 2. Let w(z) = -n(z) - 10*r(z). Factor w(b).
2*(b + 1)*(b + 2)*(b + 53)
Let k be 36*(5/2 - -3). Suppose -5*g + 3*v + 343 = -152, 0 = -2*g + 2*v + k. Factor 6*i**3 + 80*i**3 + g*i**3 - 20*i**4 - 45*i**2.
-5*i**2*(i - 9)*(4*i - 1)
Let i = -35 - -35. Suppose 14*p - 4*p - 100 = i. Suppose -9*h**2 - 3*h**2 + 8*h - 9*h**4 + 7*h**4 + 16 - p*h**3 = 0. What is h?
-2, 1
Let y(p) = 13*p**3 + 843*p**2 + 8*p - 822. Let o(a) = -7*a**3 - 423*a**2 - 5*a + 411. Let v(n) = 7*o(n) + 4*y(n). What is k in v(k) = 0?
-137, -1, 1
Let r(s) be the second derivative of 37*s**5/50 + 631*s**4/30 + 34*s**3/15 + 1312*s. Solve r(v) = 0.
-17, -2/37, 0
Let k(d) be the first derivative of -d**5/10 + d**4/6 + 2*d**3 + 82*d - 27. Let a(t) be the first derivative of k(t). Find c, given that a(c) = 0.
-2, 0, 3
Let t(u) be the third derivative of u**6/24 - 4*u**5/3 - 385*u**4/24 - 50*u**3 - 4169*u**2. Factor t(y).
5*(y - 20)*(y + 1)*(y + 3)
Let j(s) be the first derivative of -2*s**3/27 + 5*s**2/9 + 4*s/3 - 311. Factor j(a).
-2*(a - 6)*(a + 1)/9
Let p = 187201 - 187199. Suppose -4/3 - 2/9*t**3 + 10/9*t + 4/9*t**p = 0. Calculate t.
-2, 1, 3
Let h = 209 - 107. Factor 159 + h - 83*f - 117 - 144*f**2 - 217*f - 15*f**3.
-3*(f + 4)*(f + 6)*(5*f - 2)
Let r be (-37 + 7 + -4)*1/(-10). Let s be (-352)/(-480) - 1/3. Find b, given that -r*b**4 + 0 + 24/5*b**3 - 13/5*b**2 + 4/5*b**5 + s*b = 0.
0, 1/4, 1, 2
Let h(j) be the first derivative of j**3 - 171*j**2 + 1320*j + 8616. Factor h(v).
3*(v - 110)*(v - 4)
Let t(w) be the first derivative of -1/3*w - 1/6*w**4 + 1/4*w**2 + 1/36*w**6 + 0*w**5 + 1/9*w**3 - 15. Suppose t(b) = 0. What is b?
-2, -1, 1
Let b(o) be the first derivative of -o**6/2 + 378*o**5/5 - 5565*o**4/2 - 16252*o**3 - 62595*o**2/2 - 25350*o - 13311. Suppose b(g) = 0. Calculate g.
-2, -1, 65
Let a(g) be the second derivative of -1/120*g**6 - 1/12*g**3 + 5 + 0*g**2 + 1/40*g**5 + 3*g + 1/48*g**4. Find b such that a(b) = 0.
-1, 0, 1, 2
Let w = -62874 - -314372/5. Find l such that -1/5*l**4 + 0 - 6/5*l + l**2 + w*l**3 = 0.
-2, 0, 1, 3
Let j(x) = -31*x**3 + 74*x**2 - 1594*x - 24. Let z(m) = 5*m**3 + m**2 - m + 4. Let l(f) = j(f) + 6*z(f). Determine r so that l(r) = 0.
0, 40
Let v(h) be the first derivative of -1/2*h**2 - 26 - 1/3*h**3 + h. Let r(n) = -2*n**2 - 4*n + 5. Let z(p) = r(p) - v(p). Solve z(j) = 0.
-4, 1
Let w = 124705 - 498819/4. Determine z so that w*z**2 + 5/2*z - 1/4*z**3 + 2 = 0.
-2, -1, 4
Let j(s) be the third derivative of 1/96*s**4 + 1/8*s**3 - 1/60*s**5 + 0*s + 64*s**2 + 0. Factor j(f).
-(f - 1)*(4*f + 3)/4
Suppose -4*n - 2339 + 2351 = 0. Factor -246*q**3 - q**4 + 0*q**2 - 4*q**2 + 242*q**n.
-q**2*(q + 2)**2
Let -43*a**5 + 640*a + 48*a**5 - 25*a**3 + 10*a**4 - 106*a**3 - 31*a**2 + 11*a**3 - 129*a**2 = 0. What is a?
-4, 0, 2, 4
Let s be (-2646)/216 + (-4 - (-21 + 4)). Factor 3/4 - 1/4*p**3 + 1/4*p - s*p**2.
-(p - 1)*(p + 1)*(p + 3)/4
Let r = 5205 + -67625/13. Let o = r - -10/39. Factor -2/3*l**2 - 8/3 - o*l.
-2*(l + 1)*(l + 4)/3
Suppose -87*w + 3268 = 85*w. Let f(q) be the third derivative of 0 - 7/240*q**6 + 1/3*q**3 - 3/40*q**5 + 1/4*q**4 + 0*q - w*q**2. Factor f(n).
-(n - 1)*(n + 2)*(7*n + 2)/2
Let d(h) be the third derivative of -1/25*h**6 - 7/100*h**5 + 0*h**4 - 1/350*h**7 - 121*h**2 + 0*h + 0 + 0*h**3. Solve d(u) = 0 for u.
-7, -1, 0
Suppose -3*g = 108*u - 113*u + 65, -5*g + u = 13. Suppose -5/4*j + g*j**2 - 1/2*j**4 + 1/2 + 5/4*j**3 = 0. Calculate j.
-1, 1/2, 1, 2
Let z(t) = -t**3 - 12*t**2 - 13*t - 18. Let v be z(-11). Factor -12*l**v - 2*l**4 - 32*l**2 + 100*l**3 + 0*l**4 + 2*l**4.
-4*l**2*(l - 8)*(3*l - 1)
Suppose n = -5 + 3. Let h be (2 - n - 1)*(2 + 2). Suppose -4*z + 2*z**3 - h*z**2 + 10*z + 2*z**4 - 6*z = 0. Calculate z.
-3, 0, 2
Find m, given that 9/2*m**2 + 3/4*m**4 - 12*m + 0 + 27/4*m**3 = 0.
-8, -2, 0, 1
Let f(p) be the first derivative of -p**4/10 + 22*p**3/5 - 92*p**2/5 + 24*p - 1001. Find h such that f(h) = 0.
1, 2, 30
Let c(s) be the first derivative of s**4/2 - 124*s**3/3 + 659*s**2 - 2156*s + 