
-2*(s + 3)*(5*s + 1)/15
Suppose 2*n - 4*f = 11 + 3, -2*n = 4*f + 10. Let x be 20/(-3 - -5) + (-1 - n). Factor 0*h**3 + x*h**3 + 12*h**2 + 8*h - 2*h**3 - 2*h**3.
4*h*(h + 1)*(h + 2)
Suppose 3*j - 3 = 0, 3 = 2*r + 5*j - 0. Let k be r/((-2)/(-6) - 5/6). Factor 4 - 8 + 12*h**2 + 21*h - k.
3*(h + 2)*(4*h - 1)
Let y(u) be the second derivative of 4/27*u**3 - 112*u - 1/90*u**5 + 0 + 16/9*u**2 - 2/27*u**4. Factor y(a).
-2*(a - 2)*(a + 2)*(a + 4)/9
Let r(f) = 45*f**3 - 1056*f**2 - 721*f - 126. Let m(c) = 630*c**3 - 14785*c**2 - 10095*c - 1765. Let h(v) = 6*m(v) - 85*r(v). Let h(d) = 0. Calculate d.
-1/3, 24
Find w, given that -2/7*w**2 - 192200/7 - 1240/7*w = 0.
-310
Let z(t) be the third derivative of 0*t - 1/100*t**5 + 11/40*t**4 + 0 - 99*t**2 + 6/5*t**3. Factor z(u).
-3*(u - 12)*(u + 1)/5
Let h(s) be the third derivative of -s**6/24 - 9*s**5/4 - 475*s**4/24 - 115*s**3/2 + 105*s**2. Find u such that h(u) = 0.
-23, -3, -1
Suppose -z - 27 = -24. Let f be 8/z + 19 + -15. Suppose -f*d**5 + 0*d + 0 - 1/3*d**2 + 1/3*d**4 + 4/3*d**3 = 0. What is d?
-1, 0, 1/4, 1
Let k(d) be the first derivative of -8/7*d**3 + 37 + 39/14*d**2 + 3/28*d**4 - 18/7*d. Determine x so that k(x) = 0.
1, 6
Let o(l) be the first derivative of 9*l**5 - 267*l**4/2 + 276*l**3 + 60*l**2 + 4209. Solve o(d) = 0 for d.
-2/15, 0, 2, 10
Factor -16 + 4*x**5 - 16*x**4 + 190 + 14*x**3 - 2*x**3 - 174.
4*x**3*(x - 3)*(x - 1)
Let a(f) be the second derivative of f**4/12 - 85*f**3/24 + 81*f**2/8 - 6759*f + 1. Suppose a(i) = 0. What is i?
1, 81/4
Suppose -2*s - 14 = 5*y, 5*s - 3*s - y + 14 = 0. Let x be 48/10 - ((-186)/30 - s). Factor 0*r + r**3 - 2/3*r**2 + 0 - 1/3*r**x.
-r**2*(r - 2)*(r - 1)/3
Suppose p = -b - 0 + 8, -3*p + 3 = -4*b. Suppose -4*q = -p*q + 4. Factor q*g**3 - 5*g**3 + 4*g**2 - 2*g**3 - g**2.
-3*g**2*(g - 1)
Let r be (-4)/((2 + -1)*1 - 3). Suppose r*w = -3*w + 10. Factor 3 + 3*h**w + 1 - 24*h + h**2 + 16*h.
4*(h - 1)**2
Let v(a) be the third derivative of -5*a**8/504 + 13*a**7/126 - 5*a**6/36 - 31*a**5/36 + 25*a**4/12 - 3025*a**2. Solve v(t) = 0.
-3/2, 0, 1, 2, 5
Let d(k) be the third derivative of -3*k**2 + 0*k - 1/12*k**5 - 5/6*k**4 + 48 - 5/2*k**3. Find j, given that d(j) = 0.
-3, -1
Let k be (520/234)/((-16)/(-6)). Let q(v) be the second derivative of 5/12*v**4 - k*v**3 + 1/4*v**5 - 5/2*v**2 - 7*v + 0. Suppose q(s) = 0. Calculate s.
-1, 1
Suppose 0 = 5*k - j - 6, -43 = -4*j - 67. Let z(i) be the third derivative of 1/36*i**4 + 8*i**2 + 1/180*i**5 + 0*i**3 + 0 + k*i. Factor z(p).
p*(p + 2)/3
Suppose -3*r + 9 = -5*b, 5*r - 5*b - 26 = -21. Let o be 3/4*-2*r. What is s in 0 - 2/5*s**2 + 1/5*s**4 + 0*s + 1/5*s**o = 0?
-2, 0, 1
Let y = 216 + -210. Let v be (y + -9)*(-7)/168*2. What is c in -1/2*c**2 + 3/4*c**3 + 0 + 0*c - v*c**4 = 0?
0, 1, 2
Let p(h) be the first derivative of h**4/48 - h**3/24 - h**2/4 + 24*h - 3. Let z(g) be the first derivative of p(g). Determine y so that z(y) = 0.
-1, 2
Let y = 8739 - 8736. Let m(l) be the third derivative of 0*l + 0 - y*l**3 - 7/8*l**4 + 17*l**2 - 1/20*l**5. Let m(b) = 0. What is b?
-6, -1
Let r(l) = 37*l**2 + 601*l + 1862. Let c(z) = -82*z**2 - 1322*z - 4096. Let x(s) = 14*c(s) + 31*r(s). Suppose x(m) = 0. What is m?
-3, 126
Let n(l) be the second derivative of -l**6/60 + 21*l**5/40 + 222*l. Factor n(b).
-b**3*(b - 21)/2
Let u(q) be the second derivative of 6/5*q**2 - 1/30*q**4 - 18*q + 2 + 1/15*q**3. Factor u(h).
-2*(h - 3)*(h + 2)/5
Solve -40*d - 5064*d**2 + 10094*d**2 - 5029*d**2 - 1044 = 0 for d.
-18, 58
Suppose 9 = -77*v + 86*v. Factor -v + 10*g - 2 - 6*g + g**2 - 2.
(g - 1)*(g + 5)
Let v(h) be the third derivative of -h**5/420 + 11*h**4/56 - 121*h**3/21 + 2215*h**2. Solve v(s) = 0 for s.
11, 22
Let c(h) = -3*h**5 + 12*h**4 - 8*h**3 - 10*h**2 + 19*h - 6. Let a(g) = -4*g + g**2 + 17*g**3 + 3*g - 18*g**3 + 0*g. Let l(o) = -4*a(o) - c(o). Factor l(z).
3*(z - 2)*(z - 1)**3*(z + 1)
Let r(n) = -n + 7. Let q = 39 + -36. Let l be r(q). Find i, given that -14*i**3 + 31*i**3 - 12*i**3 - 11 + 1 + 15*i**2 - 5*i**l - 5*i = 0.
-1, 1, 2
Let b(d) be the first derivative of -d**4/42 - 2*d**3/21 - d**2/7 + 10*d - 134. Let k(m) be the first derivative of b(m). Factor k(a).
-2*(a + 1)**2/7
Let d(w) be the second derivative of -w**9/567 - w**8/168 + w**7/24 - w**6/16 - 11*w**4/4 - 30*w - 3. Let l(b) be the third derivative of d(b). Factor l(r).
-5*r*(r + 3)*(4*r - 3)**2/3
Let w be (-30040)/(-2253) + (0 - 4)*-2. Find g such that -80/3*g**3 - 2*g**5 + 0 - 32/9*g + w*g**2 + 112/9*g**4 = 0.
0, 2/9, 2
Let c(g) be the second derivative of 0 + 16/5*g**2 - 64/15*g**3 + 92*g + 1/30*g**6 + 23/10*g**4 - 47/100*g**5. Factor c(r).
(r - 4)**2*(r - 1)*(5*r - 2)/5
Suppose -3*s = 3*m + 18, -m + 5*s + 0*s = 6. Let n be (-84)/m + (0 - 0 - 0). Solve 21*a - 9*a + a**2 - 6 + 3*a**2 + n = 0 for a.
-2, -1
Let a(m) be the third derivative of m**8/12 + 40*m**7/21 + 224*m**6/15 + 94*m**5/3 - 775*m**4/6 - 500*m**3/3 + 816*m**2. Solve a(d) = 0 for d.
-5, -2/7, 1
Let r(u) be the second derivative of -1/24*u**4 + 1/4*u**2 + 1/8*u**3 + 0 - 68*u. Factor r(f).
-(f - 2)*(2*f + 1)/4
Suppose -3*q + 5*p + 1243 = 182, 3*q + 5*p - 1051 = 0. Factor -129*r**2 - 3*r**3 - 354 + q - 1449*r - 1321.
-3*(r + 1)*(r + 21)**2
Factor -464702*m**3 + 0*m**4 - 53*m**2 - 90*m + 464664*m**3 - 2*m**4 - 73*m**2.
-2*m*(m + 1)*(m + 3)*(m + 15)
Let d(y) = -23*y**3 + 825*y**2 - 11769*y + 10951. Let u(a) = 15*a**3 - 550*a**2 + 7845*a - 7300. Let r(h) = -5*d(h) - 8*u(h). Factor r(o).
-5*(o - 27)**2*(o - 1)
Let r(n) be the third derivative of -n**6/40 - 137*n**5/20 - 4623*n**4/8 + 4761*n**3/2 + 177*n**2 - 3*n. Factor r(f).
-3*(f - 1)*(f + 69)**2
Solve 40/3 + 247/6*q**3 - 269/6*q**2 - q**4 - 221/3*q = 0 for q.
-1, 1/6, 2, 40
Let l be (-286)/60 + (80/8)/2. Let v(m) be the second derivative of -2/3*m**3 + 10*m + 0 + 9/4*m**4 - 2*m**2 + l*m**6 - 13/10*m**5. Find j such that v(j) = 0.
-2/7, 1, 2
Let y(a) = 29*a**4 + 1045*a**3 + 715*a**2 - 2310*a + 491. Let i(j) = 44*j**4 + 1567*j**3 + 1072*j**2 - 3465*j + 734. Let r(z) = 5*i(z) - 8*y(z). Solve r(t) = 0.
-43, -2, 1/4, 1
Let w(l) be the second derivative of -103*l - 18/7*l**2 - 2 + 1/6*l**4 - 3/140*l**5 - 1/14*l**3. Find u such that w(u) = 0.
-4/3, 3
Let c(n) be the second derivative of -5*n**4/12 - 1985*n**3 - 7092405*n**2/2 + n - 6067. Factor c(i).
-5*(i + 1191)**2
Let s(i) be the second derivative of -i**7/273 + 22*i**6/195 - 6*i**5/13 + 29*i**4/39 - 19*i**3/39 + 136*i + 1. Factor s(j).
-2*j*(j - 19)*(j - 1)**3/13
Let s(x) = -3*x - 22. Let o be s(-8). Let c = -562/133 + 102/19. Factor 0 + c*n + 4/7*n**3 + 12/7*n**o.
4*n*(n + 1)*(n + 2)/7
Let t(j) = 12*j - 192. Let o(f) = 2*f**2 - 50*f + 768. Let x(m) = 2*o(m) + 9*t(m). Solve x(l) = 0.
-8, 6
Let q(s) be the third derivative of -s**5/15 - s**4/2 + 80*s**3/3 - 16*s**2 - 13*s. Factor q(t).
-4*(t - 5)*(t + 8)
Let l be ((-11)/8)/((-222)/148). Suppose l*u**2 + 7/6*u - 2 - 1/12*u**3 = 0. What is u?
-2, 1, 12
Suppose -3*b = b - 5*z - 12, 5*b - z - 15 = 0. Factor -2*h**4 - 3*h**3 + 2*h**3 + 0*h**3 + 2 + 2*h**b + 6*h**2 - 7*h.
-(h - 1)**2*(h + 2)*(2*h - 1)
Let c(b) be the first derivative of b**5/15 + 3*b**4/2 + 56*b**3/9 - 32*b**2 + 7311. Factor c(k).
k*(k - 2)*(k + 8)*(k + 12)/3
Suppose 270/7*x**2 + 0*x + 9*x**5 + 0 - 348/7*x**4 + 387/7*x**3 = 0. Calculate x.
-10/21, 0, 3
Factor 150*u**2 + 462*u + 21/2*u**3 + 120.
3*(u + 4)*(u + 10)*(7*u + 2)/2
Let l = -329 + 324. Let z be (-1 - (-150)/20) + l. Suppose -3/2 + 0*s + z*s**2 = 0. What is s?
-1, 1
Let k(s) be the second derivative of -3*s**5/5 - 82*s**4 - 6885*s**3/2 - 19683*s**2/2 + 9*s - 81. Let k(w) = 0. Calculate w.
-81/2, -1
Suppose 6*m - 3*m = n - 112, -4*m - 3*n - 132 = 0. Let s = m + 38. Solve -4*g**4 - 792 + 792 + 4*g**s = 0.
-1, 0, 1
Let c = -3194 + 153313/48. Let j(i) be the third derivative of 4*i**2 - c*i**5 + 0 + 5/96*i**4 + 0*i + 5/12*i**3. Determine n so that j(n) = 0.
-1, 2
Let k(h) be the first derivative of 3/10*h**5 + 26 + 0*h**2 + 0*h**4 + 0*h - 1/2*h**3. Suppose k(o) = 0. What is o?
-1, 0, 1
Let y be ((-3)/(-276))/((-130)/(-3952)). Let h = y + 8/115. Suppose 8/5*q**3 - 8/5*q - 4/5*q**2 - h*q**4 + 6/5 = 0. Calculate q.
-1, 1, 3
Let l(a) be the third derivative of -a**2 + a**4 + 0*a**3 + 18 + 4/15*a**5 - 1/1344*a**8 - 1/240*a**6 + 0*a - 1/120*a**7. Solve l(f) = 0.
-4,