 k be i(v). Find x such that -x**2 - 6*x**3 - 51 + 24*x - x**k - 55 + 90 = 0.
-4, 1
Let c(t) be the first derivative of -t**6/6 - 3*t**5/5 + 11*t**4/2 + 8*t**3 - 1696. Find s such that c(s) = 0.
-6, -1, 0, 4
Let -2683935*u - 3529*u**4 + 7094*u**4 - 5606442 - 421*u**3 - 3564*u**4 + 58797*u**2 = 0. What is u?
-2, 141
Let q(s) = s**2 - 10*s + 4. Let a be q(10). Suppose 22 = v + 4*w + 2, -2*v + 4*w = -a. Solve v - 114*o + 245*o + 2*o**3 - 106*o + 19*o**2 = 0 for o.
-8, -1, -1/2
Let p be 15 + (3 + -7 - -5). Let j be ((-6)/p)/(-3 - 57/(-24)). Solve 3/5*y**4 - 6/5*y - j + 6/5*y**3 + 0*y**2 = 0 for y.
-1, 1
Factor -93/2*m + 1/4*m**4 + 93/2*m**3 - 8649/4 + 2162*m**2.
(m - 1)*(m + 1)*(m + 93)**2/4
Factor 2*b**3 + 2/5*b + 0 - 8/5*b**2 - 4/5*b**4.
-2*b*(b - 1)**2*(2*b - 1)/5
Suppose 0 = -y, -5*p + 6*y = 10*y. Solve 44 - 22 - 3*h**2 + 3*h + p*h - 4 = 0.
-2, 3
Let b(l) be the first derivative of 5*l**4/8 + 130*l**3/3 + 3105*l**2/4 - 3645*l + 3425. Factor b(d).
5*(d - 2)*(d + 27)**2/2
Let -1/4*p**5 - 49/4*p**4 + 0 - 47/4*p**2 - 95/4*p**3 + 0*p = 0. What is p?
-47, -1, 0
Let h = -22440 + 8078401/360. Let k(b) be the third derivative of -1/36*b**5 + 0 - 12*b**2 + 1/36*b**4 + 4/9*b**3 + 0*b + h*b**6. Factor k(t).
(t - 4)*(t - 2)*(t + 1)/3
Let m(j) be the second derivative of -3*j**5/20 + j**3/6 + j**2/2 + 93*j. Let v(u) = -3*u**3 + 2*u**2 - 32*u - 4. Let a(b) = -4*m(b) + v(b). Factor a(s).
(s - 2)*(s + 2)*(9*s + 2)
Let l(n) be the second derivative of 3*n**5/20 - 5*n**4/4 - 4*n**3 + 72*n**2 - 2211*n. Factor l(p).
3*(p - 4)**2*(p + 3)
Let b(f) = -6*f + 31. Let a be b(5). Suppose 5*r = 64 + a. Factor -46*s**2 + 33*s - 9*s**4 - 136*s**5 - r + 137*s**5 + 4 + 30*s**3.
(s - 3)**2*(s - 1)**3
Factor 50 + 20*i - 55/2*i**2 + 5/2*i**3.
5*(i - 10)*(i - 2)*(i + 1)/2
Let t(x) be the first derivative of 0*x**4 - 40*x**2 + 80/3*x**3 + 0*x - 4*x**5 + 5/6*x**6 + 44. Factor t(w).
5*w*(w - 2)**3*(w + 2)
Let z(h) be the second derivative of -2*h**7/21 - 4*h**6/3 - 13*h**5/5 + 20*h**4 - 24*h**3 + 2360*h - 1. Find g such that z(g) = 0.
-6, 0, 1
Let v be 12*(-2367)/(-4590) - 40/25. Solve 2/17 - 4394/17*a**3 - v*a + 1014/17*a**2 = 0.
1/13
Factor -1799*g**3 - 4 + g + 1798*g**3 + 3*g**2 + 4 - 3*g.
-g*(g - 2)*(g - 1)
Let q(i) be the second derivative of -i**5/110 - 1305*i**4/22 - 1703025*i**3/11 - 2222447625*i**2/11 - 652*i. Factor q(r).
-2*(r + 1305)**3/11
Let d(n) be the second derivative of n**4/3 + 320*n**3/3 - 978*n**2 - 77*n - 15. Factor d(h).
4*(h - 3)*(h + 163)
Let h(i) be the second derivative of -i**5/20 - 11*i**4/6 - 16*i**3 + 144*i**2 + 2384*i. Let h(j) = 0. What is j?
-12, 2
Suppose -30*b - 11*b + 13*b**2 + 4 + 12 + 29*b - 17*b**2 = 0. What is b?
-4, 1
Let y(a) be the third derivative of a**8/3024 + 13*a**7/270 - 37*a**6/216 + 31*a**5/180 + 836*a**2. Factor y(n).
n**2*(n - 1)**2*(n + 93)/9
Let g(n) be the third derivative of 0*n - 2/315*n**7 + 0 - 59*n**2 + 1/18*n**4 + 0*n**3 + 7/180*n**6 - 7/90*n**5. Suppose g(p) = 0. What is p?
0, 1/2, 1, 2
Let q(c) be the first derivative of 2/3*c**2 + 0*c - 16 + 2/9*c**3. Factor q(k).
2*k*(k + 2)/3
Let w(h) = -2*h**2 - 14*h - 17. Let g be w(-11). Let m = g + 117. Factor 4*o**4 + 0*o + 8*o**2 - 14*o - 2*o + 16*o**3 - m.
4*(o - 1)*(o + 1)**2*(o + 3)
Solve -11*r**4 + 22*r**2 + 1/2*r**5 - 11 + 1/2*r - r**3 = 0 for r.
-1, 1, 22
Let i(q) be the second derivative of q**6/1260 + q**5/70 - q**4/12 + 19*q**3/6 + 27*q. Let b(h) be the second derivative of i(h). Factor b(y).
2*(y - 1)*(y + 7)/7
Factor 780/7*n**2 + 1116/7*n + 148/7*n**3 + 4/7*n**4 + 0.
4*n*(n + 3)**2*(n + 31)/7
Let x(k) = 695*k**3 + 35700*k**2 - 4587410*k + 9032325. Let h(l) = -49*l**3 - 2550*l**2 + 327672*l - 645166. Let p(b) = -85*h(b) - 6*x(b). Factor p(w).
-5*(w - 254)**2*(w - 2)
Let t be (64/75)/(13092/114555). Determine s, given that t*s - 1568/15 - 2/15*s**2 = 0.
28
Suppose 239*z + 1/4*z**2 + 57121 = 0. What is z?
-478
Let i be (-2)/14 + 1289858/413. Factor 156 + 115*o**3 + i*o - 738*o + 875*o**2 + 1464 + 5*o**4.
5*(o + 1)*(o + 4)*(o + 9)**2
Suppose 4*i**3 - 36 + 9 + 15*i**2 + 0*i**3 - 3*i - 7*i**3 - 6*i = 0. Calculate i.
-1, 3
Find v such that -86*v**3 - 2520*v**2 + 722*v + 91*v - 128 - 189*v + 520*v - 76*v**3 = 0.
-16, 2/9
Let n(k) be the third derivative of -k**6/15 + 11*k**5/15 + 2*k**4 - 24*k**3 - 29*k**2 + 4. Factor n(j).
-4*(j - 6)*(j + 2)*(2*j - 3)
Suppose 28*f - 25*f = -2*w - 29, 8*w + 3*f = -17. Let 0*i - 8/9*i**4 + 20/9*i**w + 0 + 2/9*i**5 - 14/9*i**3 = 0. Calculate i.
-2, 0, 1, 5
Suppose -78*x - 76*x = 68*x - 242*x. Factor x + 4/5*y**2 - 2/15*y**3 - 16/15*y.
-2*y*(y - 4)*(y - 2)/15
Suppose -16*k + 6*k - 780 = 0. Let w = k + 1174/15. Factor -16/15*x**3 + 2/5*x**4 - w*x + 0 + 14/15*x**2.
2*x*(x - 1)**2*(3*x - 2)/15
Let c = -8597 + 25792/3. Factor -c*i + 4/3 - 1/6*i**2.
-(i - 2)*(i + 4)/6
Suppose -3*q = -5*h - 97, q + 5*h - 24 + 25 = 0. Let -6*p - 12*p**3 + q*p**2 - 24*p**2 + 18*p**3 + 3*p**4 - 3 = 0. What is p?
-1, 1
Let a(l) be the first derivative of -l**4/4 - l**3 + 9*l**2/2 - 39*l + 37. Let f(s) be the first derivative of a(s). Factor f(d).
-3*(d - 1)*(d + 3)
Let n be 3/(-168)*-8 - 627/4410. Let c(t) be the third derivative of 1/168*t**4 + 0*t**3 + 0*t + 0 - 1/420*t**5 + n*t**7 - 14*t**2 - 1/840*t**6. Factor c(i).
i*(i - 1)**2*(i + 1)/7
Let l be 39/21 - (-61)/427. Suppose 6*y - 6 = 5*q + 2*y, -l*q = 5*y - 24. Factor 3 + 1/2*a**q + 7/2*a.
(a + 1)*(a + 6)/2
Determine u, given that 8/5*u + 288/5*u**2 + 0 + 142/5*u**3 = 0.
-2, -2/71, 0
Determine m so that 3/5*m**3 + 1353/5*m - 135 - 681/5*m**2 = 0.
1, 225
Factor -106/17*y**3 + 108/17 - 1026/17*y + 648/17*y**2.
-2*(y - 3)**2*(53*y - 6)/17
Let n = 1782 + -1777. Let j(t) be the third derivative of 1/600*t**n + 0 + 0*t**3 - 1/80*t**4 + 15*t**2 + 0*t. Suppose j(d) = 0. Calculate d.
0, 3
Factor -272/5*k + 1/5*k**3 + 28/5*k**2 + 576/5.
(k - 4)**2*(k + 36)/5
Let o(m) = 8*m - 67. Let k be o(10). Find t, given that k*t**2 - 185 - 181 - 13*t - 8*t**3 + 368 + 9*t**2 = 0.
1/4, 1/2, 2
Let z be (-180)/42 - -4 - 1852/(-14). Let m = z - 130. Let 6*p**m + 30 + 31*p**2 - 3*p**3 - 63*p - p**2 = 0. Calculate p.
1, 10
Let n = 1055 + -998. Suppose -3*w = -n*w + 11*w. Let -56/9*q**3 - 8/9*q**5 + 4*q**2 + 4*q**4 - 8/9*q + w = 0. Calculate q.
0, 1/2, 1, 2
Let n(g) be the second derivative of 0 - 80/3*g**4 - 199*g + 520/3*g**3 - 845/2*g**2. Factor n(m).
-5*(8*m - 13)**2
Let g(h) be the third derivative of -21*h**8/16 - 79*h**7/10 - 977*h**6/60 - 72*h**5/5 - 16*h**4/3 + 4*h**2 + 25*h - 10. Suppose g(p) = 0. What is p?
-2, -1, -8/21, 0
Suppose -3*k + 2 = -2*h, -101*h + 100*h + 2*k = 2. Suppose 16 = h*l + 5*t, -5*l + 19 = 20*t - 18*t. Factor 3/4*o**2 + 1/4*o**l - 9/4*o + 5/4.
(o - 1)**2*(o + 5)/4
Let g(c) be the second derivative of 1/150*c**6 + 0 + 8/5*c**2 + 1/2*c**3 - 17/60*c**4 + 23*c - 3/20*c**5. Factor g(o).
(o - 16)*(o - 1)*(o + 1)**2/5
Let r(f) = -2*f**4 + 16*f**3 - 15*f**2 - 97*f - 97. Let u(m) = -3*m**4 + 28*m**3 - 32*m**2 - 195*m - 195. Let j(v) = 5*r(v) - 3*u(v). Factor j(b).
-(b - 5)*(b + 2)**2*(b + 5)
Let y(i) = -3*i**4 - 17*i**3 + 58*i**2 + 8*i - 1. Let o(s) = s**4 + 8*s**3 + s - 1. Let q(p) = -14*o(p) - 2*y(p). Determine b so that q(b) = 0.
-8, -1, 1/4
Let u(o) = 29*o**3 - 284*o**2 + 4181*o - 7290. Let r(h) = -6*h**3 + h**2 + h. Let f(z) = -4*r(z) - u(z). Factor f(d).
-5*(d - 27)**2*(d - 2)
Solve 4156*t - 8163*t**2 + 4439*t - 19497*t**2 - 496 - 900*t**3 + 2040*t - 3211*t = 0.
-31, 2/15
Let m(q) be the first derivative of -q**5/40 + 89*q**4/32 - 65*q**3/6 + 43*q**2/4 + 6741. Let m(c) = 0. Calculate c.
0, 1, 2, 86
Suppose 54 = 4*f + 5*c, c + 20 = -10*f + 12*f. Factor -8*i**2 + 17*i**2 + 28 + 26*i - f*i**2.
-2*(i - 14)*(i + 1)
Let d(l) be the third derivative of l**6/1080 - l**5/360 - l**4/12 + l**3/3 - 11*l**2 - l. Let u(p) be the first derivative of d(p). Solve u(g) = 0 for g.
-2, 3
Let g(z) be the second derivative of -361*z**6/75 - 7961*z**5/25 - 58799*z**4/10 - 18436*z**3/15 - 484*z**2/5 - 2*z - 940. Factor g(t).
-2*(t + 22)**2*(19*t + 1)**2/5
Let i be ((-24)/(-54))/(10/45). Suppose 0 = -3*o + 7*o + b - 9, i*o = 3*b + 15. Factor -6/19*z**2 + 0 + 24/19*z**o - 14/19*z**4 - 4/19*z.
-2*z*(z - 1)**2*(7*z + 2)/19
Let j be (-596)/(-1490)*20/18. Let b(m) be the second derivative of 0 - 1/30*m**5 - j*m**4 - 7/3*m**3 - 6*m**2 + 37*m. 