-39*q**2 - 4*q + 11. Let z(g) = f*p(g) + 6*i(g). Factor z(w).
-3*w*(w - 3)
Let z be ((-3 - -2) + -1)/(-5). Let f = 299/5 - 291/5. What is c in -4/5*c**3 - f*c**4 + 6/5*c - z*c**5 + 0 + 8/5*c**2 = 0?
-3, -1, 0, 1
What is a in -4 - 1/2*a**2 + 3*a = 0?
2, 4
Let u be -13 + 1 - (-508043)/42330. Let b(c) be the third derivative of 0 + u*c**5 + 7*c**2 + 0*c**4 + 0*c**3 + 0*c. Factor b(g).
2*g**2/17
Let a = 109 - 107. Factor 17*y**2 + y**3 - 45*y**2 + 27*y**a - 2*y.
y*(y - 2)*(y + 1)
Let n = -5240750/7 - -748682. Solve -15/7 - n*k**2 - 39/7*k = 0.
-1, -5/8
Let q(j) be the first derivative of -j**3/12 + 33*j**2/2 - 1089*j - 2732. Factor q(f).
-(f - 66)**2/4
Let k = 15317/11790 + 1/1179. Let t(u) be the second derivative of 2*u**2 - 1/3*u**4 - 7*u + 0 - k*u**5 + 13/3*u**3. What is f in t(f) = 0?
-1, -2/13, 1
Let o(b) be the first derivative of -3*b**5/25 - 27*b**4/5 - 414*b**3/5 - 486*b**2 - 1215*b + 1147. Find f, given that o(f) = 0.
-15, -3
Let c(f) = f**3 - 10*f**2 + 26*f - 9. Let d be c(6). Suppose 444 = -d*x + 459. Factor 0*o + 0 + 2/9*o**x + 10/9*o**4 + 8/9*o**2 + 16/9*o**3.
2*o**2*(o + 1)*(o + 2)**2/9
Let h be 120/(-12) - ((-422)/44 - (-87)/(-174)). Factor h*a**2 + 0 - 15/11*a.
a*(a - 15)/11
What is v in 26*v**2 - 26*v**2 - 90*v**2 - 300 + 3*v**3 + 456*v - 41*v**2 - 28*v**2 = 0?
1, 2, 50
Let l(g) be the first derivative of 68*g**3/45 - 43*g**2/15 + 6*g/5 - 1113. Factor l(q).
2*(q - 1)*(34*q - 9)/15
Let n(u) = 396*u + 160. Let h be n(5). Let g = 2142 - h. Factor q**g - 1/6*q**4 - 2/3*q**3 + 2/3*q - 5/6.
-(q - 1)**2*(q + 1)*(q + 5)/6
Suppose -5*i + 17 = x, 5*i + 10 = x - 27. Let k = x - 22. Factor -2*w**4 + 0*w**5 + 2*w**4 - k*w**4 - 5*w**5.
-5*w**4*(w + 1)
Let h = 4782 - 4780. Let p(g) be the second derivative of -2/9*g**h + 1/54*g**4 + 1/135*g**6 - 4*g + 1/9*g**3 - 1/30*g**5 + 0. Let p(t) = 0. Calculate t.
-1, 1, 2
Let j = -56426 + 507836/9. Factor 0*k**2 + 2/9*k**5 + 0*k + 0 - 4/9*k**3 + j*k**4.
2*k**3*(k - 1)*(k + 2)/9
Let t(r) be the third derivative of 5*r**6/72 - 4*r**5/135 - 103*r**4/216 - 2*r**3/9 - r**2 - 1099. Determine a, given that t(a) = 0.
-1, -3/25, 4/3
Let r(o) be the first derivative of 28/3*o**3 + 18*o**2 + 9/4*o**4 - 1 + 16*o + 1/5*o**5. Determine t so that r(t) = 0.
-4, -2, -1
Let k be ((-247)/(-174) - (9 - 8)) + 0. Let o = k - 5/58. Factor 1/3 + 4/3*q**3 + 4/3*q + o*q**4 + 2*q**2.
(q + 1)**4/3
Let q(t) = t - 3. Let b be q(4). Suppose -b - 15 = -4*f. Factor -6*i**4 + 16*i**3 - 14*i**2 + 2*i**4 + 4*i - 6*i**2 + f*i.
-4*i*(i - 2)*(i - 1)**2
Let z be -25 - 0 - -18 - -10. Let x(y) be the third derivative of 1/195*y**5 + 0*y**z - 30*y**2 + 0*y + 0 - 1/156*y**4. Determine k so that x(k) = 0.
0, 1/2
Find o, given that 1/3*o**2 - 149/3*o + 0 = 0.
0, 149
Let l be (1 + -4)*4/(-1836). Let w = l - -295/1683. Suppose w*i + 0 + 4/11*i**2 + 2/11*i**3 = 0. Calculate i.
-1, 0
Let s(d) = d**3 - 4*d**2 - 18*d - 16. Suppose 0 = -2*p + 6, -3*n - 2*p - 8 = -5*n. Let j be s(n). Let 8*v**3 - 3*v**4 + 5*v**4 - v**j - 9*v**3 = 0. What is v?
0, 1
Let v be 4/6*6/4*3. Solve 40*f**2 + v*f**2 + 66 + 9*f - 46*f**2 + 18 = 0.
-4, 7
Let j(b) be the first derivative of 3*b**4/2 + 464*b**3/3 - 157*b**2 - 156*b + 4965. Factor j(y).
2*(y - 1)*(y + 78)*(3*y + 1)
Let w(z) be the third derivative of z**8/840 - 2*z**7/15 + 6*z**6 - 648*z**5/5 + 972*z**4 + 69984*z**3/5 + z**2 - 62*z. Find u such that w(u) = 0.
-2, 18
Let g(s) be the first derivative of -4*s**3/3 + 1372*s**2 - 470596*s - 4080. Find y, given that g(y) = 0.
343
What is g in -1640/9 - 2/9*g**2 - 184/9*g = 0?
-82, -10
Let u(i) be the first derivative of -40*i**3/3 + 43*i**2 + 126*i - 3975. Find q such that u(q) = 0.
-1, 63/20
Suppose 4*p + 4 - 8 = 4. Let q(g) be the second derivative of 0*g**p + 23*g - 1/16*g**5 - 1/6*g**3 + 1/6*g**4 + 1/120*g**6 + 0. Determine f so that q(f) = 0.
0, 1, 2
Let v(u) = -u**2 - 9*u - 6. Let y be v(-7). Suppose 3*d + 3*s = 9, -s + y = 3*s. Factor 5*l**2 - 2*l + d + 0*l**2 - 4*l**2.
(l - 1)**2
Let w(a) be the first derivative of 45*a**6/2 + 246*a**5 + 535*a**4 + 330*a**3 - 195*a**2/2 - 140*a + 2667. Suppose w(f) = 0. Calculate f.
-7, -1, -4/9, 1/3
Let d(u) = u**2 + 846*u + 3474. Let h(p) = 12*p**2 + 10998*p + 45231. Let j(n) = 27*d(n) - 2*h(n). Factor j(t).
3*(t + 4)*(t + 278)
Let n(x) be the first derivative of -x**4/4 + 23*x**3/6 + 3*x**2 - 1091. Find g, given that n(g) = 0.
-1/2, 0, 12
Let r = -11688 - -11696. Let q(g) be the first derivative of r - 8/15*g - 2/75*g**5 - 4/15*g**2 + 2/15*g**3 + 1/15*g**4. Suppose q(b) = 0. Calculate b.
-1, 2
Let h(a) be the first derivative of 8 - 1/18*a**4 + 0*a**3 + 0*a - 3*a**2 - 1/90*a**5. Let j(o) be the second derivative of h(o). Factor j(b).
-2*b*(b + 2)/3
Let h(u) be the second derivative of u**5/150 - 9*u**4/20 + 26*u**3/15 + 3*u**2 - 122*u. Let b(a) be the first derivative of h(a). Factor b(t).
2*(t - 26)*(t - 1)/5
Let u(m) = -3*m - 22. Let a be u(-10). Let s(d) = 4*d**3 - 12*d**2 + 8*d - 8. Let b(l) = -l**3 + l**2 - l + 1. Let k(f) = a*b(f) + s(f). What is x in k(x) = 0?
-1, 0
Let o = -27035 - -27037. Let q(k) be the second derivative of -1/60*k**6 + 1/6*k**3 + 13*k + 0*k**4 - 1/20*k**5 + 0 + 1/4*k**o. Factor q(z).
-(z - 1)*(z + 1)**3/2
Let a(m) be the first derivative of -m**5/30 - 7*m**4/12 + 8*m**3/9 + 7*m**2/6 - 5*m/2 - 4520. Factor a(w).
-(w - 1)**2*(w + 1)*(w + 15)/6
Let w(u) be the first derivative of -12 + 2/3*u**4 + 7/20*u**5 + 1/6*u**3 + 1/20*u**6 + 28*u - 3/4*u**2. Let n(s) be the first derivative of w(s). Factor n(x).
(x + 1)**2*(x + 3)*(3*x - 1)/2
Let l(i) be the first derivative of i**5/5 - 5*i**4 + 28*i**3/3 - 22*i - 30. Let c(x) be the first derivative of l(x). What is h in c(h) = 0?
0, 1, 14
Let i = -510454 + 2552273/5. Factor -9408/5 - 336/5*x - i*x**2.
-3*(x + 56)**2/5
Let i = -13/8 - -79/48. Let z(d) be the second derivative of -21*d + 0 - 5/24*d**3 - 3/4*d**2 + i*d**4. Factor z(m).
(m - 6)*(m + 1)/4
Factor -6804*c**4 + 0 + 10584*c**5 - 333/2*c**3 - c**2 + 0*c.
c**2*(3*c - 2)*(84*c + 1)**2/2
Suppose -42 = 99*s - 105*s. Let l(o) be the second derivative of 1/100*o**5 + 0*o**4 - 1/210*o**s + 0*o**6 + 0 + 10*o + 0*o**3 + 0*o**2. Factor l(x).
-x**3*(x - 1)*(x + 1)/5
Let w(k) = -56*k**2 - 208*k + 890. Let y(d) = -5*d**2 - 19*d + 81. Let i(r) = -6*w(r) + 68*y(r). Determine l so that i(l) = 0.
-14, 3
Let o(k) be the second derivative of -k**5/15 + 5*k**4/6 - 8*k**3/3 + 35*k**2/2 + 48*k. Let a(w) be the first derivative of o(w). Factor a(p).
-4*(p - 4)*(p - 1)
Let s(w) = 27*w - 807. Let y be s(30). Let z(c) be the second derivative of 3/10*c**y + 9*c + 3/10*c**2 + 0 + 1/10*c**4. Solve z(v) = 0.
-1, -1/2
Suppose 299*d**2 + 290*d - 294*d**2 + 793 - 233 = 0. What is d?
-56, -2
What is f in -5/4*f**4 + 0*f + 125/2*f**3 + 0 + 0*f**2 = 0?
0, 50
Let z(u) be the third derivative of -u - 2/25*u**5 - 1/150*u**6 + u**2 + 4/3*u**3 + 0 - 1/10*u**4. Find r, given that z(r) = 0.
-5, -2, 1
Let x be (1 - 2)*-24 + 3 + -3. Factor 2*f**4 - 906*f**3 + x - 76*f + 84*f**2 + 2*f**4 + 870*f**3.
4*(f - 6)*(f - 1)**3
Let o(x) = 19*x**3 + 22*x**2 - x + 2. Suppose 0 = -4*z - 16, -b = -3*z - 12 - 3. Let h(v) = v**3 + 2*v**2 + 1. Let r(c) = b*h(c) - o(c). Factor r(f).
-(f + 1)*(4*f - 1)*(4*f + 1)
Let c be (1 + 46/(-10))/(188/(-470)). Determine z, given that -2*z - 313*z**5 - 15*z**2 + 3*z**4 - c*z**3 + 316*z**5 - 4*z = 0.
-1, 0, 2
Let g be 91/(-12) + (-2)/3 - (13657 - 13666). Factor -9/4*y + 1/4*y**3 + g*y**2 + 5/4.
(y - 1)**2*(y + 5)/4
Let -10/17*s**3 - 1398/17*s - 886/17*s**2 - 522/17 = 0. Calculate s.
-87, -1, -3/5
Let k be 7/(14*-18)*(-4)/((-8)/(-3)). Let l(g) be the third derivative of 1/9*g**3 + 0*g + 15*g**2 + k*g**4 + 1/180*g**5 + 0. Determine y so that l(y) = 0.
-2, -1
Let p(x) be the third derivative of -x**7/105 - 115*x**6/12 - 18336*x**5/5 - 580608*x**4 + 2359296*x**3 - 676*x**2. Factor p(t).
-2*(t - 1)*(t + 192)**3
Let m = -11/1047 - -25249/11517. Determine l, given that 0*l**2 + 32/11 - 2/11*l**3 + m*l = 0.
-2, 4
Let c(m) be the first derivative of m**3/5 + 6*m**2/5 - 36*m - 376. Determine d so that c(d) = 0.
-10, 6
Let i(w) be the third derivative of w**5/420 - 187*w**4/56 - 281*w**3/21 + 10404*w**2. Factor i(q).
(q - 562)*(q + 1)/7
Factor -1/6*r**4 + 0*r + 0 - 5/3*r**3 + 4*r**2.
-r**2*(r - 2)*(r + 12)/6
Let c be 30 + 52/104*-56. Solv