= -224139/4 + 56036. Factor -x - m + 1/4*x**2.
(x - 5)*(x + 1)/4
Factor 0*u**2 - 464/5*u**3 - 20*u**4 + 4/5*u**5 + 0 + 0*u.
4*u**3*(u - 29)*(u + 4)/5
Let -254/7*x**4 - 8192/7 + 7934/7*x**3 + 2/7*x**5 + 8446/7*x**2 - 7936/7*x = 0. What is x?
-1, 1, 64
Find l, given that -835*l + 17 + 1645*l + 55*l**2 - 885*l - 87 = 0.
-7/11, 2
Let b(y) be the first derivative of -7/5*y - 3/2*y**2 + 62 - 1/20*y**4 - 3/5*y**3. Let b(q) = 0. Calculate q.
-7, -1
Let c be (-6)/(-916)*40/30. Let q = c + 1822/1145. Factor 2/5*k**3 + q*k**2 + 0 + 6/5*k.
2*k*(k + 1)*(k + 3)/5
Let x(i) be the third derivative of i**6/540 + i**5/3 + 25*i**4 + 8*i**3/3 - 99*i**2 - 2*i. Let a(l) be the first derivative of x(l). Let a(t) = 0. Calculate t.
-30
Let d(t) = 8*t**2 - 12*t - 6. Let u(p) = -15*p**2 + 24*p + 11. Let f = 168 - 116. Let s = f - 63. Let y(k) = s*d(k) - 6*u(k). Suppose y(l) = 0. Calculate l.
0, 6
Let p = -1/2288974 + 746206879/3101559770. Let j = p + -11/271. Factor j*t**3 - 1/5*t**5 + 0*t + 1/5*t**2 - 1/5*t**4 + 0.
-t**2*(t - 1)*(t + 1)**2/5
Let w(k) be the second derivative of -k**6/180 - 18*k**5/5 - 10295*k**4/12 - 714850*k**3/9 + 3048625*k**2/4 - 3896*k. Factor w(v).
-(v - 3)*(v + 145)**3/6
Let u(r) be the third derivative of -2*r**7/105 - 73*r**6/30 + r**5/15 + 73*r**4/6 + 816*r**2. Solve u(b) = 0.
-73, -1, 0, 1
Let g = 761 + -756. What is q in -2*q**5 + 10*q**2 - 18*q**3 + q**5 + 15*q - 10 - 2*q**3 + 5*q**g + q**5 = 0?
-2, -1, 1
Let v(w) be the first derivative of -w**4/114 + 11*w**3/57 + 12*w**2/19 + 64*w + 46. Let m(y) be the first derivative of v(y). Solve m(k) = 0 for k.
-1, 12
Let m be 2*1 + 4 + -4 - -5. Factor -4516*q**4 + 3*q**3 - 3*q**3 + 3*q**3 + m*q**5 - 2*q**2 + 4528*q**4.
q**2*(q + 1)**2*(7*q - 2)
Let x be 12 - 7 - (-1 + 3). Find h such that 9*h**2 - 20*h**2 + 9*h + x*h**2 + 11*h**2 = 0.
-3, 0
Let t(c) = 6*c**3 - 482*c**2 + 7*c. Let l(n) = n**3 + 4*n**2 + n. Let s(p) = -21*l(p) + 3*t(p). Suppose s(m) = 0. What is m?
-510, 0
Let r(h) = 103*h**2 + 88*h + 21. Let g(w) = 5*w**2 + 2*w + 1. Let l(i) = 42*g(i) - 2*r(i). Solve l(z) = 0 for z.
0, 23
Let h be (115136/105)/(-8)*36/(-8). Let z = h + -616. What is q in -1/5*q**3 - z*q**2 + 1/5*q**4 + 4/5*q + 0 = 0?
-2, 0, 1, 2
Let q(z) be the third derivative of -z**6/420 + 2*z**5/21 - 25*z**4/28 - 852*z**2 + 2*z. Factor q(w).
-2*w*(w - 15)*(w - 5)/7
Let r(x) be the first derivative of x**6/9 - 384*x**5/5 + 41759*x**4/3 - 36736*x**3 + 82369*x**2/3 - 386. Suppose r(c) = 0. Calculate c.
0, 1, 287
Let j(s) = -14*s + 1. Let o be j(2). Let r = 55 + o. Factor 11*x**2 + 12 - 4*x**2 - r*x - 2*x**2 + 3*x**2.
4*(x - 3)*(2*x - 1)
Let -4/7 + 1/7*a - 1/7*a**3 + 4/7*a**2 = 0. What is a?
-1, 1, 4
Let u be 3237/8632 + 27/9*1/(-8). Factor 3/4*m**4 + 3/2*m + 0*m**3 - 9/4*m**2 + u.
3*m*(m - 1)**2*(m + 2)/4
Factor 132/7*m - 130/7 - 2/7*m**2.
-2*(m - 65)*(m - 1)/7
Let j(b) be the first derivative of -5/27*b**6 - 92 - 34/45*b**5 - 16/9*b + 19/18*b**4 - 14/9*b**2 + 50/27*b**3. Determine i, given that j(i) = 0.
-4, -1, -2/5, 1
Let g(d) be the first derivative of -d**4/16 + 7*d**3/3 + 199*d**2/8 + 85*d/2 - 6037. Let g(f) = 0. What is f?
-5, -1, 34
Factor 1/5*i**3 - 107*i**2 - 71289/5 + 71823/5*i.
(i - 267)**2*(i - 1)/5
Factor 66 - 3/2*q**2 + 30*q.
-3*(q - 22)*(q + 2)/2
Let g(z) be the third derivative of 2*z**5/15 - 85*z**4/6 - 83*z**2. Factor g(x).
4*x*(2*x - 85)
Let s(d) be the third derivative of d**6/840 + 3*d**5/35 - 13*d**4/14 + 35*d**3/2 - 106*d**2. Let g(i) be the first derivative of s(i). Factor g(q).
3*(q - 2)*(q + 26)/7
Let w(a) be the first derivative of -3*a**4/16 - a**3 + 33*a**2/8 + 45*a/2 - 365. Solve w(c) = 0 for c.
-5, -2, 3
Suppose -c + 628 = -3*g + 668, -38 = -5*c - 2*g. Find x, given that -9/4*x - 3/8*x**c - 3 = 0.
-4, -2
Factor -5*k**2 - 2*k**3 - 615 - 121 - 79*k**2 - 128 - 387*k + 945*k.
-2*(k - 3)**2*(k + 48)
Suppose 50 = -2*z + 7*z. Suppose -y + 23 = 3. Factor y*g - 2*g**2 + 0*g + 12 - z*g**2 + 12*g.
-4*(g - 3)*(3*g + 1)
Let k(x) = -10 + 30 - 24*x - 275*x**2 + 287*x**2. Let q(v) = v**2 - v. Let u(w) = k(w) - 10*q(w). Find l such that u(l) = 0.
2, 5
Let l = -55073 - -165223/3. Factor 2/9*s**3 + 2/9*s**4 - 14/9*s**2 - l - 26/9*s.
2*(s - 3)*(s + 1)**2*(s + 2)/9
Let h(v) be the first derivative of -v**5/12 + 35*v**4/8 + 55*v**3/3 - v**2/2 + 12*v + 77. Let b(k) be the second derivative of h(k). Factor b(q).
-5*(q - 22)*(q + 1)
Let m(l) be the third derivative of -l**10/15120 + l**9/12096 - 2*l**5/15 - l**4/8 + 60*l**2 + 1. Let y(f) be the third derivative of m(f). Factor y(p).
-5*p**3*(2*p - 1)
Let x(n) be the second derivative of n**5/50 - 182*n**4/15 + 1444*n**3/15 - 288*n**2 - 43*n + 11. Factor x(r).
2*(r - 360)*(r - 2)**2/5
Solve 0*l + 0 + 0*l**2 + 172/5*l**4 + 4/5*l**5 + 328/5*l**3 = 0 for l.
-41, -2, 0
Suppose -2*a - 5*m - 32 + 12 = 0, 5*a - 4 = m. Suppose -5*j**4 - 8/3*j - 68/3*j**2 - 62/3*j**3 + a = 0. What is j?
-2, -2/15, 0
Let q(m) be the third derivative of m**5/60 + 5*m**4/8 + 9*m**3 + 3*m**2 - 186. Factor q(a).
(a + 6)*(a + 9)
Suppose -3*l + 2*l = -3*u - 15, -l - 5*u = 17. What is j in -3240*j**2 - 2660*j**l - 160 - 440*j**3 - 812*j - 420*j - 500*j**4 = 0?
-5, -2/5
Suppose 0*w + 4*d - 83 = -5*w, 8 = 4*d. Suppose -3*q + w = -3*f, -3*q - 2*f = -7*f - 21. Solve -12/5*s - 18/5 - 2/5*s**q = 0.
-3
Let n(f) = 2*f**2 - 42*f + 69. Let c(j) = -939 - 42*j + 526 + 483 + 2*j**2. Let u(t) = -7*c(t) + 6*n(t). Factor u(l).
-2*(l - 19)*(l - 2)
Let d(h) be the first derivative of -1805*h**6/6 - 1064*h**5 + 4405*h**4/2 + 3940*h**3/3 - 4005*h**2/2 - 1620*h - 1009. Suppose d(w) = 0. What is w?
-4, -9/19, 1
Let s(w) = -w**4 - 2*w**3 - 1. Let v(t) = -4*t**4 + 28*t**3 + 124*t**2 + 84*t - 8. Let a(q) = 8*s(q) - v(q). Factor a(c).
-4*c*(c + 1)*(c + 3)*(c + 7)
Determine d so that 20*d**2 - 1/3*d**3 + 0 - 59/3*d = 0.
0, 1, 59
Let p(k) be the third derivative of -k**8/36960 - k**7/1540 - k**6/165 + 2*k**5 + 2*k**2 + 2*k. Let a(q) be the third derivative of p(q). Factor a(z).
-6*(z + 2)*(z + 4)/11
Let t = 161 - 156. Let -213*y**4 - 10*y**2 - 40*y + 18*y**3 - 5*y**t + 28*y**3 + 223*y**4 - y**3 = 0. Calculate y.
-2, -1, 0, 1, 4
Suppose -2*l**5 - 12293*l**3 - 30*l**2 - 13*l + 12207*l**3 + 30*l**4 + 101*l = 0. Calculate l.
-1, 0, 1, 4, 11
Let c(s) be the third derivative of s**6/120 - 19*s**5/30 + 67*s**4/8 - 48*s**3 + 6*s**2 + 15. Factor c(l).
(l - 32)*(l - 3)**2
Let o(v) = -24*v**4 - 93*v**3 - 121*v**2 - 32*v - 5. Let l(j) = 70*j**4 + 278*j**3 + 366*j**2 + 96*j + 14. Let k(y) = 5*l(y) + 14*o(y). Factor k(b).
2*b*(b + 2)*(b + 4)*(7*b + 2)
Factor -1/5*y**3 + 1/5*y**2 - 24/5 + 14/5*y.
-(y - 3)*(y - 2)*(y + 4)/5
Suppose 58 = 4*j + 2*c + 62, -j - 3*c - 6 = 0. Let h be (j/((-40)/(-8)))/1. Solve 6/13*d**3 + h - 4/13*d**2 - 2/13*d = 0 for d.
-1/3, 0, 1
Let c = -9195 - -9199. Let o(q) be the first derivative of -32 + 33/4*q**c - 16*q**2 - 4*q - 49/3*q**3. Suppose o(i) = 0. What is i?
-1/3, -2/11, 2
Let i(c) be the third derivative of -c**6/20 - 514*c**5/15 + 115*c**4/4 + 686*c**3/3 - 20*c**2 + c + 6. Suppose i(n) = 0. Calculate n.
-343, -2/3, 1
Factor -151/6*x - 112/3*x**2 + 1/6*x**5 - 73/3*x**3 - 17/3*x**4 - 19/3.
(x - 38)*(x + 1)**4/6
Let p(t) be the second derivative of -t**6/900 + t**5/75 + t**4/12 - 163*t**3/6 - 8*t + 3. Let o(z) be the second derivative of p(z). Solve o(j) = 0 for j.
-1, 5
Let u(p) be the third derivative of 0*p + 0 - 25/36*p**3 + 1/72*p**5 + 5/36*p**4 + 104*p**2. Suppose u(c) = 0. What is c?
-5, 1
Let u(a) be the second derivative of 1/2*a**4 + 0*a**2 + 2*a - 34 - 1/10*a**5 - 2/3*a**3. What is i in u(i) = 0?
0, 1, 2
Let h = 5413 - 3646. Let s = 8867/5 - h. Determine r so that -s*r - 3*r**2 - 12/5 + 9/5*r**3 = 0.
-2/3, 3
Let f(o) be the second derivative of 5/6*o**3 + 60*o - 5/12*o**4 + 0 + 15*o**2. Factor f(r).
-5*(r - 3)*(r + 2)
Factor -94*s + 30*s**3 + 20*s**2 - 76*s + 207*s - 25*s**4 + 5*s**5 - 77*s.
5*s*(s - 2)**3*(s + 1)
Suppose 0 = -10*u + 34 - 284. Let h be (40/u)/((-4)/16) + -4. Determine v so that 2/5*v + 2/5*v**2 - h = 0.
-3, 2
Let b = -199 + 219. Let j be 8*18/b - (1 - -5). Factor 0 - j*h + 2/5*h**2.
2*h*(h - 3)/5
Let y = -437 - -1179. Let a = y - 739. What is l in l**2 + 0 - 1/3*l - l**a + 1/3*l**4 = 0?
0, 1
Let w(v) = -v**3 - v**2 + 1. Let s(a) = a**5 + 3*a**4 - 6*a**3 - 2*a**2 + 2. Suppose -227 = 3*c - 2