 0.
-2, 0, 1
Let h(d) = 238*d - 493. Let y be h(6). Let w be 544/y - (-6)/(-15). Factor w*z**4 + 2/11*z**2 + 0 - 4/11*z**3 + 0*z.
2*z**2*(z - 1)**2/11
Let r(q) be the second derivative of q**9/1008 - q**8/140 + 3*q**7/280 - 19*q**3 - q**2 + 23*q - 2. Let x(c) be the second derivative of r(c). Factor x(p).
3*p**3*(p - 3)*(p - 1)
Let o(d) be the third derivative of -d**7/1260 + 17*d**6/144 + d**5/360 - 85*d**4/144 + 6937*d**2. Factor o(u).
-u*(u - 85)*(u - 1)*(u + 1)/6
Let w(q) = 4*q**4 + 33*q**3 - 103*q**2 + 69*q - 3. Let a(o) = -15*o**4 - 132*o**3 + 413*o**2 - 277*o + 11. Let h(z) = -6*a(z) - 22*w(z). Factor h(l).
2*l*(l - 2)*(l - 1)*(l + 36)
What is x in -81/2*x**2 - 3/2*x**3 - 138 - 144*x = 0?
-23, -2
Factor -2*z**3 - 5*z + 78*z + 172*z - z - 18*z + 234 - 10*z**2.
-2*(z - 9)*(z + 1)*(z + 13)
What is c in 12*c - 12*c**3 + 3/4*c**4 - 117/4 + 57/2*c**2 = 0?
-1, 1, 3, 13
Let p(n) = -14*n**3 + 160*n**2 + 144*n + 10. Let x(y) = -10*y**3 + 107*y**2 + 96*y + 7. Let m(f) = -7*p(f) + 10*x(f). Suppose m(c) = 0. Calculate c.
-24, -1, 0
Let y be (81 + -13)/17*2. Let f(g) be the third derivative of 0*g + 1/40*g**6 - 1/3*g**4 + y*g**2 + 1/6*g**5 + 0 + 0*g**3. Determine s, given that f(s) = 0.
-4, 0, 2/3
Let c be (-1413742)/(-261352) + (-11)/(-572). Suppose 0 = -5*k + 5*g - 16 + 1, -3*k + 11 = g. Factor 2/7*i**3 - c*i + 16/7*i**k + 20/7.
2*(i - 1)**2*(i + 10)/7
Let o(a) = -11*a**2 + 5*a - 12. Suppose 48*i = 53*i - 10. Let y(r) = i*r + 5*r**2 - 4*r - 54 + 24 + 35. Let z(q) = -4*o(q) - 9*y(q). Let z(x) = 0. What is x?
-3, 1
Suppose -14*m - 3087 - 4025 = 0. Let o be m/(-126) + (-296)/259. Suppose 22/9*p + 4/9 + 8/9*p**3 + o*p**2 = 0. What is p?
-2, -1, -1/4
Let i(n) be the first derivative of 4*n + 98 - 13/7*n**2 - 2/21*n**3. Find t such that i(t) = 0.
-14, 1
Let y = 3010 + -3007. Determine x so that 17/4*x + 1/4*x**2 + 15/4 - 1/4*x**y = 0.
-3, -1, 5
Let v(r) be the first derivative of r**6/60 + r**5/6 + 2*r**4/3 - 66*r**3 - 40. Let i(p) be the third derivative of v(p). Factor i(w).
2*(w + 2)*(3*w + 4)
Let b(t) be the first derivative of -3/2*t - 5 + 11/4*t**2 + 3/4*t**4 - 1/12*t**6 + 1/10*t**5 - 7/3*t**3. Factor b(q).
-(q - 1)**4*(q + 3)/2
Suppose 11*q - 8*q - 9 = 0, -1 = 5*r + 3*q. Let w(a) = 2*a**3 + 8*a**2 - 6*a - 10. Let x(g) = -g**3 - g - 1. Let z(i) = r*x(i) + w(i). Factor z(s).
4*(s - 1)*(s + 1)*(s + 2)
Let b(o) be the second derivative of 256/27*o**3 + 77*o + 0 + 16/27*o**4 + 1/90*o**5 + 0*o**2. Factor b(s).
2*s*(s + 16)**2/9
Suppose 0 = 6*n - 10*n + 36. Suppose -n*t = -169 - 11. Factor -12*f**5 + 60*f - 34*f**4 + 19*f**4 + 5*f**3 + 55*f**2 + t + 7*f**5.
-5*(f - 2)*(f + 1)**3*(f + 2)
Let y(j) be the first derivative of 4/3*j**3 + 17*j + 11 - 6*j**2 - 1/9*j**4. Let a(z) be the first derivative of y(z). Factor a(f).
-4*(f - 3)**2/3
Let c(v) be the third derivative of -5/4*v**4 - 1/12*v**5 - 25/6*v**3 + 0*v + 105*v**2 + 0. Factor c(x).
-5*(x + 1)*(x + 5)
Let t(r) = -7*r**2 - 1559*r + 4629. Let s(k) = 66*k**2 + 14032*k - 41654. Let j(z) = 3*s(z) + 28*t(z). Let j(n) = 0. What is n?
3, 775
Let m(j) be the first derivative of j**4/21 + 2*j**3/21 - 4*j**2/7 - 18*j + 108. Let o(t) be the first derivative of m(t). Factor o(b).
4*(b - 1)*(b + 2)/7
Let o(q) be the third derivative of -7/150*q**5 + 1/175*q**7 - 22*q**2 + 1/840*q**8 + 0*q - 1/100*q**6 + 0*q**3 + 1/10*q**4 + 1. Find c such that o(c) = 0.
-3, -2, 0, 1
Let q = -758434/5 - -151688. Let -q*w**3 + 10*w**2 + 96/5*w + 8 = 0. What is w?
-1, -2/3, 10
Factor -2/11*l**3 - 72*l + 80/11*l**2 + 0.
-2*l*(l - 22)*(l - 18)/11
Let -144*p**4 + 4/3*p + 4/3*p**5 - 8/3*p**3 - 144 + 288*p**2 = 0. Calculate p.
-1, 1, 108
Let w(v) be the third derivative of v**6/1800 - v**5/100 - 2*v**4/15 - 28*v**3 - 2*v**2 - 35. Let i(m) be the first derivative of w(m). Solve i(s) = 0 for s.
-2, 8
Let b be -6*(-13690)/(-135)*(-21)/(-14). Let p = b - -913. Solve -4/3*l**2 + p*l**3 - 1/3 + 1/3*l**4 + 7/6*l - 1/6*l**5 = 0 for l.
-2, 1
Solve -280*a - 2/3*a**3 - 3200/3 - 24*a**2 = 0.
-16, -10
Let w = -4/5 + 58/35. Let m = -30414/11 - -212931/77. Suppose -m*p**2 + 0 + w*p - 3/7*p**3 = 0. What is p?
-2, 0, 1
Let w(a) be the second derivative of -17*a**4/6 + 40*a**3/3 - 12*a**2 + 12*a - 104. Solve w(j) = 0.
6/17, 2
Factor -84/5*s**2 - 4/5*s + 84/5 + 4/5*s**3.
4*(s - 21)*(s - 1)*(s + 1)/5
Let s(m) be the third derivative of -16*m**8/35 + 848*m**7/175 - 3289*m**6/200 + 1307*m**5/50 - 173*m**4/8 + 10*m**3 + 1294*m**2. Solve s(a) = 0.
5/16, 1, 4
Let n(u) be the first derivative of -u**4/12 - 278*u**3/9 - 553*u**2/6 - 92*u + 2332. Determine r so that n(r) = 0.
-276, -1
Let u be -14*(-15)/70 + -1 + 0. Let m(x) be the second derivative of -1/48*x**4 + 0*x**3 + 0 - 16*x + 1/80*x**5 + 0*x**u. Solve m(h) = 0.
0, 1
Suppose 12 = -6*s + 24. Factor 5*t**4 - 16*t - 3*t - 5*t**s - 12*t**3 + 42*t**3 - 11*t.
5*t*(t - 1)*(t + 1)*(t + 6)
Let m(h) = 1 - h - 6*h**2 + 30*h**2 + 3*h + 7*h**2. Let l be m(-1). Determine k so that 4*k + 0*k - 5 - l*k**2 + 31*k**2 = 0.
-5, 1
Let y be -3 - 11/((-891)/8442). Let c = -101 + y. Determine v so that c*v**5 + 8/3*v**3 + 0 - 20/9*v**2 - 4/3*v**4 + 2/3*v = 0.
0, 1, 3
Suppose -14 = -3*y - 5. Factor -150*w + 73*w + 2*w**2 + 75*w - 2*w**4 + 2*w**y.
-2*w*(w - 1)**2*(w + 1)
Let f be -10*(-3)/(-12)*(-4)/(-74). Let o = 163/111 + f. Factor 8*k + 0 - 4/3*k**3 - o*k**2.
-4*k*(k - 2)*(k + 3)/3
Let c(z) be the first derivative of z**3/3 - 13*z**2/2 + 36*z - 631. Factor c(t).
(t - 9)*(t - 4)
Let y(n) = 2*n**2 + 60*n + 58. Let z(x) = 4*x**2 + 120*x + 116. Let v(r) = 9*y(r) - 5*z(r). Factor v(m).
-2*(m + 1)*(m + 29)
Let y = -4225 - -4225. Let z(r) be the third derivative of 0*r + y - r**2 + 1/80*r**6 - 1/16*r**4 + 3/40*r**5 - 3/4*r**3. Factor z(t).
3*(t - 1)*(t + 1)*(t + 3)/2
Let y(l) be the third derivative of -l**7/42 + l**5/3 + 1670*l**2 + 2. Solve y(t) = 0.
-2, 0, 2
Let m(p) = p - 5. Let x be m(7). Let c be ((-10)/(-8) + -1)*(-1 + 18/12). Solve -1/8 + 1/8*z**x - 1/8*z + c*z**3 = 0 for z.
-1, 1
Let f be (-2)/((-7)/(-126)*-4). Suppose 180*g - 171*g = f. Factor -1/5*y**3 + 1/5*y - y**2 + g.
-(y - 1)*(y + 1)*(y + 5)/5
Let q(i) be the first derivative of i**3/12 + 399*i**2/4 + 159201*i/4 + 984. Find z, given that q(z) = 0.
-399
Let q(k) be the first derivative of 2*k**5/15 + 88*k**4/3 + 5044*k**3/3 - 15664*k**2/3 + 15842*k/3 + 237. Factor q(f).
2*(f - 1)**2*(f + 89)**2/3
Let w(s) = -5*s**3 - 2014*s**2 + 2522*s - 515. Let v(j) = 11*j**3 + 4028*j**2 - 5046*j + 1027. Let b(a) = -3*v(a) - 5*w(a). Let b(o) = 0. What is o?
-253, 1/4, 1
Let q(w) be the first derivative of -12500*w - 250*w**2 - 212 - 5/3*w**3. Determine c so that q(c) = 0.
-50
Suppose 0 = y + 2, -2*y + 1 = -a - 5*y. Factor -a*d**2 + 35*d - 2*d**3 - 8 - 35*d + 11*d**2.
-2*(d - 2)**2*(d + 1)
Let i(b) be the first derivative of 272 + 180*b**2 - 16200*b - 2/3*b**3. Factor i(f).
-2*(f - 90)**2
Let v(m) be the first derivative of -4 + 6*m - 9/2*m**3 + 81/16*m**4 + 3/2*m**2. Let f(z) be the first derivative of v(z). Factor f(h).
3*(9*h - 2)**2/4
Let g be (6/(-18))/(580/40 + -15). Suppose 40/3*l**3 + 8/3 + g*l**4 - 10/3*l**2 - 32/3*l - 8/3*l**5 = 0. What is l?
-2, -1, 1/4, 1, 2
Let o(c) be the second derivative of -5*c**4/12 - 175*c**3/6 - 375*c**2 - 2081*c. Factor o(i).
-5*(i + 5)*(i + 30)
Let u = 65834 - 65834. Determine z so that 3/8*z + 3/8*z**5 + 9/4*z**3 + 3/2*z**2 + u + 3/2*z**4 = 0.
-1, 0
Let w be ((-3)/(-1) - (3 + 3)) + 8. Factor -51*q**4 - w*q**3 + 25*q**4 - q**3 + 29*q**4.
3*q**3*(q - 2)
Suppose -4*r + 0*n - 52 = -4*n, -3*n = 5*r + 81. Let y = 20 + r. Factor 68*z**3 - 10*z**2 + 3*z**4 - 5 - 78*z**3 - y*z**5 + 12*z**4 + 15*z.
-5*(z - 1)**4*(z + 1)
Suppose 2*r = -8*v + 78, 639*v - 33 = 4*r + 634*v. Factor 14/3*j**2 + 32/3*j + 8 + 2/3*j**r.
2*(j + 2)**2*(j + 3)/3
Let g be (4/28*-30)/(9/(-42)). Suppose -g*m = -45*m + 50. Let -m*n - 10/7 - 4/7*n**2 = 0. Calculate n.
-5/2, -1
Let h(p) be the third derivative of p**6/2340 - 4*p**4/39 - 113*p**3/6 + p**2 - 18*p. Let f(l) be the first derivative of h(l). Factor f(i).
2*(i - 4)*(i + 4)/13
Let b(x) be the third derivative of -1/20*x**5 - 26*x**3 + 0 + 0*x + 206*x**2 - 7/2*x**4. Factor b(c).
-3*(c + 2)*(c + 26)
Let j(s) = s - 2. Let r be (-12 + 4)/(1 + -2 - 1). Let c(z) = -867*z**2 - 200*z - 20. Let n(m) = r*j(m) - c(m). Factor n(w).
3*(17*w +