*2 = 0. What is g?
-1, 0, 2/3, 6
Find f, given that 92/3*f + 40/3*f**2 + 4/3*f**3 + 56/3 = 0.
-7, -2, -1
Let l(c) be the second derivative of c**6/30 + c**5/5 - 3*c**4/4 - 6*c**3 + 601*c. Find h such that l(h) = 0.
-4, -3, 0, 3
Let w(u) = -u**2 + 7*u + 18. Let m be w(9). Let v = 3 + m. Factor -5*d**v + 16*d**2 - 9*d**3 + 6*d**3 + 8*d - 2*d**3.
-2*d*(d - 2)*(5*d + 2)
Let o(x) be the first derivative of -3*x**4/8 - 8*x**3 + 105*x**2/4 - 27*x - 571. Determine q so that o(q) = 0.
-18, 1
Let g be 6 + ((-24048)/27 - -10). Let i = g + 875. Solve i*x**2 + 1/3*x + 0 = 0 for x.
-1, 0
Let p be 64/(-20) - -3 - (-71)/5. Suppose 3*k = -3, 2*o - p = -2*k - 0*k. Factor -28*m**4 - 6*m**2 - o*m**4 + 11*m**3 - 38*m**3 - 15*m**5.
-3*m**2*(m + 1)**2*(5*m + 2)
Suppose -3*h = 0, 7*h + 12 = 5*n - 14*h + 3*h - 3. Let 0 - q**2 - 1/2*q**4 - 7/4*q**n + 1/4*q**5 + 0*q = 0. Calculate q.
-1, 0, 4
Let n(x) be the third derivative of -x**6/2880 - x**5/960 + x**4/96 - 11*x**3/3 + 45*x**2. Let q(m) be the first derivative of n(m). Factor q(t).
-(t - 1)*(t + 2)/8
Let g(p) be the second derivative of -1/20*p**5 + 0*p**2 + 1/6*p**4 - 1/6*p**3 + 0 + 57*p. Let g(o) = 0. Calculate o.
0, 1
Let p(d) = 11*d**2 + 121*d + 1. Let i be (88/12)/((-96)/144). Let b be p(i). Determine r, given that b - 8/7*r + 1/7*r**2 = 0.
1, 7
Let g(m) be the third derivative of 7/5*m**5 + 0 + 120*m**2 + 0*m - 4/3*m**6 + 0*m**3 - 1/3*m**4. Factor g(h).
-4*h*(5*h - 2)*(8*h - 1)
Suppose -4*q = 3*m - 6*m + 205, -3*q + 177 = 3*m. Let b be (1368/m)/8 - 4/(-14). Factor u**3 - 10*u**2 + 2*u + 10 - 4*u**3 + 0*u + u**b.
-2*(u - 1)*(u + 1)*(u + 5)
Let y(f) = 8*f**4 + 176*f**3 + 152*f**2 - 824*f + 512. Let o(m) = -9*m**4 - 177*m**3 - 153*m**2 + 823*m - 514. Let v(d) = -4*o(d) - 5*y(d). Factor v(c).
-4*(c - 1)**2*(c + 3)*(c + 42)
Let u be ((-1)/2 - -1)/(60/120). Let x(q) = -7*q**3 + 3*q**2 + 11*q + 9. Let w(y) = y**3 + y. Let s(i) = u*x(i) + 4*w(i). Factor s(c).
-3*(c - 3)*(c + 1)**2
Let 996*j**3 - 518*j**3 - j**4 + 108*j - 505*j**3 + 4*j**2 = 0. Calculate j.
-27, -2, 0, 2
Let h(r) = 2*r - 28. Let l be h(15). What is f in 13*f**5 + 16*f**l - 16*f**4 - 14*f**5 - 8*f**3 - 3*f**5 + 12*f = 0?
-3, -1, 0, 1
Let h(n) = n**3 + 2*n**2 + n - 3. Let j(g) = g**3 - 2*g**2 + 25*g + 51. Let l(w) = 6*h(w) - 2*j(w). Let l(k) = 0. Calculate k.
-5, -2, 3
Let r(a) be the second derivative of a + 25/17*a**3 - 33 + 7/102*a**4 - 22/17*a**2. What is w in r(w) = 0?
-11, 2/7
Let d(h) be the first derivative of 1/9*h**3 + 11/6*h**2 - 26/3*h - 112. Solve d(a) = 0 for a.
-13, 2
Let o(m) = 15*m**5 + 5*m**4 + 60*m**3 - 60*m**2 - 20*m + 60. Let d(t) = -t**5 - t**4 + t**3 + t - 3. Let l(g) = -20*d(g) - o(g). What is r in l(r) = 0?
-6, 0, 1, 2
Let -22 - 51*l**2 + 101 - 45 - 413 - 390*l + 3*l**3 - 173 = 0. Calculate l.
-4, -2, 23
Let m(t) be the second derivative of 5/9*t**3 + 1/9*t**4 - 2/15*t**5 + 2/3*t**2 - 1 - 10*t - 1/63*t**7 - 4/45*t**6. Determine q, given that m(q) = 0.
-2, -1, 1
Let d = 23671 + -23667. Factor d*o - 2/9*o**2 - 18.
-2*(o - 9)**2/9
Let y(v) = -2*v**3 - 2*v**2 + v - 9. Let f be y(-3). Suppose -f = 3*h - 33. Factor 5/6*r**5 - 5/6*r**2 + 0 + 5/2*r**h + 0*r - 5/2*r**4.
5*r**2*(r - 1)**3/6
Let m(k) = k**2 - 32426*k + 97275. Let l be m(3). Suppose 10*z**2 + 24/7*z**3 + l*z - 4/7 = 0. What is z?
-2, -1, 1/12
Let s(j) be the first derivative of 5*j**5 - 1810*j**4 - 2900*j**3/3 + 3539. Factor s(q).
5*q**2*(q - 290)*(5*q + 2)
Let n be (0/(-66))/((-5)/5). Let -1/4*u**3 + n*u + u**2 + 0 = 0. What is u?
0, 4
Let c = -14/39 - -118/39. Let m(f) be the first derivative of 12*f - c*f**3 - 6 + 8*f**2 - 4*f**4 - 4/5*f**5. Find n, given that m(n) = 0.
-3, -1, 1
Let t be ((-3)/18)/(-6*(-30)/(-324)). Let i(o) be the second derivative of t*o**2 - 2/15*o**3 + 7*o + 0 + 1/60*o**4. Factor i(k).
(k - 3)*(k - 1)/5
Let w(d) be the second derivative of -5*d**7/42 + d**6/6 + 11*d**5/4 + 35*d**4/12 - 25*d**3/3 - 20*d**2 + 1858*d. Let w(o) = 0. Calculate o.
-2, -1, 1, 4
Let p(x) = x**4 - x**3 - 4*x**2 + 1. Let o(l) = 6*l**4 - 3*l**3 - 21*l**2 + 4*l + 8. Let q(n) = o(n) - 8*p(n). Factor q(s).
-s*(s - 4)*(s + 1)*(2*s + 1)
Let i(z) be the first derivative of -3*z**4/4 + 378*z**3 - 1011. Solve i(d) = 0 for d.
0, 378
Let k(r) = -87*r**2 + 36*r - 37. Let n(j) = -109*j**2 + 35*j - 36. Let s(g) = -5*k(g) + 4*n(g). Solve s(m) = 0.
-41, 1
Let c = 185 + -177. Factor -8 + c*r**2 + 0*r - r - 3*r + 2*r**3 + 2*r**3.
4*(r - 1)*(r + 1)*(r + 2)
Let c(y) = y**2 + 20*y - 32. Let k be c(2). Let h be -1 + (k/(-4) - -8). Factor 0*x - 3/4*x**5 - 3*x**h + 0 - 15/4*x**3 - 3/2*x**2.
-3*x**2*(x + 1)**2*(x + 2)/4
Solve 272/5 + 164/5*o**2 + 18/5*o**4 + 318/5*o**3 - 664/5*o = 0.
-17, -2, 2/3
Factor 1912*w**3 + 310*w - 12*w**2 - 1916*w**3 - 30*w.
-4*w*(w - 7)*(w + 10)
Suppose -4*i = 4*r - 44, 5*i - 11 = 4*i - 3*r. Suppose -392*h**2 + i*h**4 + 56*h**3 + 12*h**4 - 25*h**4 = 0. What is h?
0, 14
Let j(y) = 673*y - 1344. Let x be j(2). Factor -54/5*u + 57/5 - 3/5*u**x.
-3*(u - 1)*(u + 19)/5
Factor 253989*v - 111294*v + 148389*v + 50598 + v**4 + 75718*v**2 + 764*v**3 + 70968*v**2 + 94563.
(v + 1)**2*(v + 381)**2
Let y(z) = 45*z**4 - 80*z**3 - 25*z**2 + 10*z - 30. Let f(n) = -n**4 + 2*n**3 + 1. Let c = 132 + -131. Let r(a) = c*y(a) + 30*f(a). Factor r(g).
5*g*(g - 2)*(g + 1)*(3*g - 1)
Let t(l) be the third derivative of 2*l**7/27 - 13*l**6/60 + 11*l**5/135 + l**4/4 - 2*l**3/27 + 927*l**2. Solve t(h) = 0 for h.
-2/5, 1/14, 1
Let k(w) be the second derivative of 3*w**5/40 - 103*w**4/12 + 45*w**3/4 + 17*w**2 - 1306*w. Suppose k(q) = 0. Calculate q.
-1/3, 1, 68
Let d(w) be the second derivative of w**4/15 + 968*w**3/3 + 585640*w**2 - 1165*w + 3. Factor d(k).
4*(k + 1210)**2/5
Factor 37 - 642*a**2 + 203 + 682*a**2 + 5*a**3 - 220*a.
5*(a - 2)**2*(a + 12)
Let q(c) be the first derivative of 94/5*c**2 - 4418/5*c - 182 - 2/15*c**3. Find l such that q(l) = 0.
47
Let g be 40/38*(-5690)/(-56900). Suppose 0 - 22/19*u**2 + g*u**3 - 24/19*u = 0. What is u?
-1, 0, 12
Let l(i) = -4*i**2 - 24*i + 88. Let d(h) = -2*h**2 + 1562*h - 1570*h + h**2 + 29. Let y(q) = 8*d(q) - 3*l(q). Factor y(a).
4*(a - 2)*(a + 4)
Let f = 83 - 71. Let c be f*-23*-1*1. Solve -6 - 336*i**3 + 64*i**4 - 11*i - 28*i - 32*i - c*i**2 = 0.
-1/4, 6
Let p(f) = f**3 + 74*f**2 - 83*f - 597. Let g be p(-75). Determine i so that 9/7*i**2 + 0 - 3/7*i**g - 6/7*i = 0.
0, 1, 2
Let c = 957718 - 957718. Factor 10*i**3 - 5/4*i**4 + c*i - 45/2*i**2 + 135/4.
-5*(i - 3)**3*(i + 1)/4
Let x(s) be the third derivative of 11/300*s**6 + 11/50*s**5 + 0 + 37/60*s**4 + 14/15*s**3 - 4*s**2 + 1/525*s**7 + s. Factor x(d).
2*(d + 1)**2*(d + 2)*(d + 7)/5
Let z = 68 - 60. Suppose 9*m - 5*x - 10 = 12*m, -4*m + z = -4*x. Factor m*d + 1/4*d**5 + 0 + 3/4*d**3 - 3/4*d**4 - 1/4*d**2.
d**2*(d - 1)**3/4
Let y = 92 - 90. Let 3*l**y - 910 + 910 + 33*l = 0. Calculate l.
-11, 0
Determine j so that -312*j + 124*j**3 + 496*j**2 + 411*j**3 + 176*j**4 + 302*j**5 + 103*j**3 - 292*j**5 = 0.
-13, -3, -2, 0, 2/5
Suppose 5179 = -5*r - p, -9*p = -2*r - 7*p - 2062. Let y = r - -9317/9. Determine t so that 2/9*t**2 + y*t**3 + 16/9 - 20/9*t = 0.
-4, 1, 2
Factor -5/2*s**2 - 295/2*s - 145.
-5*(s + 1)*(s + 58)/2
Let w = 411 - 152. Solve -25*d - 5*d**2 + 295 - 484 + w = 0 for d.
-7, 2
Factor -578/7*z + 288/7 - 2/7*z**3 + 292/7*z**2.
-2*(z - 144)*(z - 1)**2/7
Let x be ((-88)/(-16))/(4/(-424)). Let f = -2331/4 - x. Factor 7/8*j**2 + f*j + 0.
j*(7*j + 2)/8
Let a(d) = -9*d**2 + 40*d - 95. Let k be ((-162)/(-15))/3*(-15)/(-6). Let i = k + -14. Let f(s) = 10*s**2 - 40*s + 94. Let m(u) = i*f(u) - 6*a(u). Factor m(t).
4*(t - 5)**2
Let c(r) = -10*r**3 - 2*r**2 - 40*r - 5. Let a(v) = -10*v**3 - v**2 - 32*v - 4. Let k(b) = 5*a(b) - 4*c(b). Solve k(o) = 0 for o.
0, 3/10
Solve 128/7*c**3 - 236/7*c**2 - 4*c**4 + 190/7*c - 8 + 2/7*c**5 = 0 for c.
1, 4, 7
Suppose 0 = 4*m + u - 24, -2*m - 2*u + 30 = 3*m. Find n, given that -n - 1 - 11 + m + n**2 = 0.
-2, 3
Suppose 2992 - 6680 + 2113 - 3*k**2 + 0*k**2 + 3264 + 1686*k = 0. Calculate k.
-1, 563
Let g be (-3)/(84/(-53)) + (-2896)/2534. Factor -45/4*d + 0 + g*d**2.
3*d*(d - 15)/4
Let x(t) = 5*t**4 - 67*t**3 + 230*t**2 - 168*t + 3. Let q(v) = -16*v**4 + 202*v**3 - 690*v**2 + 504*v - 10. Let b(z) = -3*q(z) - 10*x(z). Factor b(p).
-2*p*(p - 28)*(p - 3)*(p - 1)
Let h(l) = 13*l - 11