of 21*k**5/100 - 54*k**4/5 - 31*k**3/10 - 3016*k. Factor f(x).
3*x*(x - 31)*(7*x + 1)/5
Let n = -17297 + 17297. Let i(w) be the first derivative of 0*w + 1/15*w**3 - 1/40*w**4 - 1/50*w**5 + 29 + n*w**2. Factor i(h).
-h**2*(h - 1)*(h + 2)/10
Let b(w) be the third derivative of -w**7/11340 - w**6/810 + 5*w**4/24 + 2*w**3/3 - 34*w**2. Let j(m) be the second derivative of b(m). Factor j(x).
-2*x*(x + 4)/9
Let h(p) = 9*p**4 + p**3 + p - 1. Let j(m) = -102*m**4 - 87*m**3 - 263*m**2 + 2899*m - 1789. Let s(o) = -22*h(o) - 2*j(o). Let s(u) = 0. What is u?
-15, 2/3, 4
Let z(i) = -17*i**2 - 18*i - 3*i - 65*i**3 + 46*i**3 - 27. Let m(b) = -2*b**3 - b**2 - 1. Let j(w) = 36*m(w) - 4*z(w). Determine f so that j(f) = 0.
-3, -2
Let w(p) be the third derivative of 1/490*p**7 - 9/140*p**5 + 4*p**2 + 5 + 3/280*p**6 + 0*p**3 - 27/56*p**4 + 0*p. Factor w(m).
3*m*(m - 3)*(m + 3)**2/7
Let v(c) be the first derivative of 1 - 1/12*c**4 + 4*c + 4/3*c**2 - 1/9*c**3. Factor v(y).
-(y - 3)*(y + 2)**2/3
Let x = 4569 + -13697/3. Let z(v) be the first derivative of -x*v + 5/18*v**3 - 2 + 0*v**2. Factor z(b).
5*(b - 2)*(b + 2)/6
Factor 1/6*g**2 - 809/3 + 269/2*g.
(g - 2)*(g + 809)/6
Let q(v) = 23*v**3 + 12 - 44*v**3 + 4*v - 6*v**2 + 22*v**3. Let m be q(5). Solve 5*p**3 - m*p + 5*p**2 - 2*p - p = 0 for p.
-2, 0, 1
Find c such that 3/4*c**2 + 135 - 21*c = 0.
10, 18
Let y(d) = -d + 25. Let w be y(15). Let p be (8/w)/((-2)/(-5)). Factor -14*l**3 - 20*l**3 + 35*l**3 - 2*l - l**p.
l*(l - 2)*(l + 1)
Let n(z) be the second derivative of -z**7/84 - 3*z**6/10 - 113*z**5/40 - 23*z**4/2 - 15*z**3 - 701*z. Determine t, given that n(t) = 0.
-6, -5, -1, 0
Let u(o) be the second derivative of -o**5/4 - 25*o**4/6 - 125*o**3/6 - 2*o - 904. Suppose u(t) = 0. Calculate t.
-5, 0
Let w(b) be the first derivative of -b**4/2 - 2*b**3 - 1374. Solve w(d) = 0 for d.
-3, 0
Let o(h) be the first derivative of 5*h**4/4 + 325*h**3/3 + 2720*h**2 + 5120*h + 1142. Suppose o(y) = 0. Calculate y.
-32, -1
Let v(g) = 45*g**2 - 6*g - 3. Let x be v(-2). Let n be 5 - 5/(225/x). Factor 4/5*f**4 - 2/5*f**5 + 0*f**3 - n*f**2 + 2/5*f + 0.
-2*f*(f - 1)**3*(f + 1)/5
Let l(n) = 23*n**2 - 3147*n + 249497. Let x(y) = -11*y**2 + 1574*y - 124754. Let b(s) = 6*l(s) + 13*x(s). Factor b(p).
-5*(p - 158)**2
Factor -34/5*u**2 - 1152/5 - 96*u - 2/15*u**3.
-2*(u + 3)*(u + 24)**2/15
Let i = -15 + 46. Suppose -41 = -i*h + 52. Suppose 3/8*u**2 - 3/8*u + 1/8 - 1/8*u**h = 0. Calculate u.
1
Let l = -60 + 68. Let s(w) = -w**3 + 8*w**2 + 3. Let b be s(l). Factor b*m + 3*m**2 - 18 + 31*m**3 - 32*m**3 + m**2.
-(m - 3)**2*(m + 2)
Let s(v) = -v**4 + 6*v**3 - 19*v**2 + 6*v - 4. Let k(g) = 6*g - 7*g - 13*g**2 + 12*g**2. Let c(m) = -6*k(m) + s(m). Factor c(h).
-(h - 2)**2*(h - 1)**2
Let o(z) = 2*z - 44. Let b be o(23). Factor -11*j - 3*j**2 - 4*j**2 + 3*j**2 - 2*j**4 - 9*j**b + 7*j - 11*j**3.
-j*(j + 1)*(j + 4)*(2*j + 1)
Suppose 3 = -3*d, 3*i + d - 60 = 2*i. Factor -i - 5*j**2 - 25*j + 53 + 38.
-5*(j - 1)*(j + 6)
Let r(x) be the first derivative of x**5/20 - 13*x**4/4 + 225*x**3/4 + 13*x**2/2 - 169*x + 2366. Determine q so that r(q) = 0.
-1, 1, 26
Factor -119/2*o**2 - 473/4*o - 59 - 1/4*o**3.
-(o + 1)**2*(o + 236)/4
Let a(j) be the first derivative of -3*j**6/2 - 141*j**5/20 + 399*j**4/32 + 5*j**3/4 - 75*j**2/16 + 3516. Let a(q) = 0. Calculate q.
-5, -5/12, 0, 1/2, 1
Let u(y) be the third derivative of -y**7/315 - y**6/36 + 4*y**5/15 - y**4/9 - 32*y**3/9 - 281*y**2. Find x, given that u(x) = 0.
-8, -1, 2
Let v(d) be the third derivative of -18*d**2 + 0*d + 1 - 16/3*d**3 - 7/6*d**4 + 1/15*d**5. Factor v(x).
4*(x - 8)*(x + 1)
Suppose -16*c + 50 = -6*c. Suppose c*w + 3*y - 865 = 0, 5*w - 5*y - 457 = 408. Factor 5*u**4 + w + 185*u**2 - 204*u**3 + 254*u**3 + 300*u + 7.
5*(u + 2)**2*(u + 3)**2
Suppose 3*l = -t + 1, 0 = 3*t + 4338 - 4314. Let p(r) be the second derivative of 0 - 5/2*r**2 + 25*r - 20/3*r**l - 20/3*r**4. Find m such that p(m) = 0.
-1/4
Suppose 56*a**2 - 68/3 - 100/3*a**4 - 44/3*a**3 + 38/3*a + 2*a**5 = 0. What is a?
-1, 2/3, 1, 17
Suppose -2/5*g**3 + 218/5*g**2 + 448/5 + 668/5*g = 0. Calculate g.
-2, -1, 112
Let l(c) be the second derivative of -5*c**7/168 + 13*c**6/24 - 23*c**5/16 + 55*c**4/48 - 1372*c. Determine g so that l(g) = 0.
0, 1, 11
Let f(z) be the second derivative of z**5/24 - 35*z**4/72 - 175*z**3/12 - 375*z**2/4 - 378*z. Suppose f(k) = 0. Calculate k.
-5, -3, 15
Let -90 - 57/2*s**2 - 98*s + 0*s**3 + 1/2*s**4 = 0. Calculate s.
-5, -2, 9
Suppose -x + 5 = b + 2*b, -7 = -5*b - 2*x. Factor 141*y**3 + y**5 + 2 + 2*y - 145*y**3 + 2*y**4 - 2*y**5 - 4*y**2 + 0*y**2 + b*y**5.
2*(y - 1)**2*(y + 1)**3
Suppose 3*v - 5*v - 4*g = 40, -3*g + 61 = -5*v. Let y be 16/6 + v/(-105)*-5. Let -2*z**2 + 22*z**3 + y*z**4 - 4*z + 21*z**3 - 2*z**5 - 37*z**3 = 0. What is z?
-1, 0, 1, 2
Let p(o) = -6*o**2 - 20*o - 224. Let n(l) = l**2 + 4*l + 45. Let h(v) = -16*n(v) - 3*p(v). Determine y so that h(y) = 0.
-4, 6
Let v be (-8)/(-80) + 154/28 + -5. Let x be (2 + 1 + 0)/5. Suppose -v*g**2 + 12/5 - x*g**3 + 12/5*g = 0. What is g?
-2, -1, 2
Let m(x) be the first derivative of 41/6*x**2 + 1/9*x**3 + 87 - 14*x. Determine f so that m(f) = 0.
-42, 1
Let k(b) = -833*b + 88300. Let a be k(106). Factor -9/2 - 21/2*m - 3/2*m**3 - 15/2*m**a.
-3*(m + 1)**2*(m + 3)/2
Let y be (-1 - -5) + (-71)/(-3). Let f = y - 27. Factor 8/3 - 1/3*d**4 + f*d**2 + d**3 - 4*d.
-(d - 2)**2*(d - 1)*(d + 2)/3
Factor 2233*y**2 - 1128*y**2 - 2995*y**2 + 88*y**3 + 15257*y + 1591*y - 34*y**3 - 5408.
2*(3*y - 52)**2*(3*y - 1)
What is d in -587*d**2 + 3280/3*d - 1600/3 - 1/3*d**4 + 82/3*d**3 = 0?
1, 40
What is t in 102*t - 1012/5 - 2/5*t**2 = 0?
2, 253
Let g = 2211/3794 - 161/542. Find p such that 12/7 - 8/7*p**2 - 2/7*p**3 - g*p = 0.
-3, -2, 1
Let h(k) be the third derivative of k**8/672 + k**7/70 - 41*k**6/240 + k**5/20 + 37*k**4/12 - 10*k**3 + 2*k**2 + 521. Suppose h(g) = 0. What is g?
-10, -2, 1, 2, 3
Suppose -2*f + 4 = -4*x, 3*x - 43 = -3*f - 1. Factor 5*q**3 - 70*q - 5*q**4 + 10*q**3 + 10*q + f*q**2 + 40.
-5*(q - 2)**2*(q - 1)*(q + 2)
Suppose -399 = 3*q + t - 426, 23 = -5*q + 4*t. Solve -n**2 + n**4 - 2/3*n + 1/3*n**3 + 0 + 1/3*n**q = 0.
-2, -1, 0, 1
Solve -693/8*o - 699/4 + 3/8*o**2 = 0.
-2, 233
Determine o, given that 3*o**4 + 0 - 32/5*o - 64/5*o**2 + 46/5*o**3 = 0.
-4, -2/5, 0, 4/3
Let b = 4633 - 4628. Let q(u) be the first derivative of 0*u**4 + 0*u + 8/15*u**3 - 2/15*u**6 - 8/25*u**b + 2/5*u**2 + 4. Factor q(l).
-4*l*(l - 1)*(l + 1)**3/5
Let x(i) be the first derivative of -i**5/130 + 3*i**3/13 - 49*i + 107. Let w(g) be the first derivative of x(g). Factor w(n).
-2*n*(n - 3)*(n + 3)/13
Let c(d) be the first derivative of -4*d**3/3 + 124*d**2 - 1344*d - 331. Factor c(u).
-4*(u - 56)*(u - 6)
Let w(i) be the first derivative of i**4/16 - 3*i**3/4 - 49*i**2/8 - 39*i/4 - 1311. Factor w(y).
(y - 13)*(y + 1)*(y + 3)/4
Let j = 39 - 25. Solve 15*h**2 - 11163 + 366*h - 11*h**2 - j*h**2 + 7*h**2 = 0 for h.
61
Let b = 588 + -585. Let h(t) = -t**4 - t**3 - 8*t**2 + 4*t. Let f(r) = r**4 + r**2 - 2*r. Let d(i) = b*h(i) + 6*f(i). Factor d(s).
3*s**2*(s - 3)*(s + 2)
Let k(s) be the third derivative of -323761*s**5/20 - 569*s**4/2 - 2*s**3 + s**2 - 153*s. Factor k(t).
-3*(569*t + 2)**2
Suppose -5*z - 3*q - 15 = 0, 682*q - 681*q = 5*z - 5. Factor 0 + 26/3*n**4 - 98/3*n**2 - 2/3*n**5 - 70/3*n**3 + z*n.
-2*n**2*(n - 7)**2*(n + 1)/3
Let h(i) be the second derivative of 2 - 2/3*i**3 + 1/6*i**4 + 1/5*i**5 - 62*i + 0*i**2 - 1/15*i**6. Find q, given that h(q) = 0.
-1, 0, 1, 2
Factor -54 + 3*g**2 + 3/2*g**3 - 45/2*g.
3*(g - 4)*(g + 3)**2/2
Let t(o) be the first derivative of o**5/45 + 2*o**4/9 + 2*o**3/3 - 214*o - 186. Let i(f) be the first derivative of t(f). Suppose i(m) = 0. Calculate m.
-3, 0
Let v(n) be the second derivative of n**4/36 + 11*n**3/9 + 56*n + 6. Factor v(d).
d*(d + 22)/3
Let j(b) = -8*b**3 + 10348*b**2 - 20516*b + 10320. Let l(c) = 3*c**3 - 4139*c**2 + 8204*c - 4128. Let v(w) = -5*j(w) - 12*l(w). Solve v(q) = 0.
1, 516
Let z(c) be the first derivative of -1/90*c**6 - 3 + c**3 - 4/3*c**4 + 0*c**2 + 0*c - 1/5*c**5. Let g(s) be the third derivative of z(s). Factor g(f).
-4*(f + 2)*(f + 4)
Let z(c) be the third derivative of c**4/4 - 95*c**3/3 - 2*c**2 + 46. Let i be z(33). Find a, given that -i*