 q*n**2 = 0.
13
Suppose -2*f - 7*w = -2*w + 12, 16 = f - 3*w. Suppose f*g = -2*c + 16, -3*c + 16 = c. Factor 2*y**4 + 27*y**5 + 2*y - 3*y - 2*y**g - 26*y**5.
y*(y - 1)*(y + 1)**3
Let d(v) = v**3 - 8*v**2 + 8*v - 3. Let r be d(7). Suppose 3*g = 7*g + 12, 0 = 2*b + r*g - 4. Suppose -7*s + 49 + 2*s - s**3 - b*s**2 + 1 = 0. What is s?
-5, 2
Let j(q) be the third derivative of -q**7/210 + q**6/60 + 7*q**5/60 - q**4/3 - 2*q**3 + 3*q**2 + 99. Solve j(n) = 0 for n.
-2, -1, 2, 3
Let j(l) = 106*l + 5848. Let r be j(-55). Let g(u) be the third derivative of -1/80*u**5 - r*u**2 + 5/32*u**4 + 0*u - 1/2*u**3 + 0. Factor g(y).
-3*(y - 4)*(y - 1)/4
Let z(l) be the second derivative of -13*l + 1/30*l**4 - 4/3*l**3 - 1 - 21/5*l**2. Factor z(p).
2*(p - 21)*(p + 1)/5
Let l(q) = -q**2 + 104*q - 588. Let z be l(6). Let x(t) be the third derivative of 0*t + z - 5/2*t**3 - 3/4*t**4 - 1/20*t**5 + 19*t**2. Factor x(w).
-3*(w + 1)*(w + 5)
Let b = -66 + 69. Factor 7*a**b - 6*a**2 + a**3 - 5*a**3 - 5*a**3.
-2*a**2*(a + 3)
Let 0*k + 80/3*k**3 - 26*k**2 + 0 - 2/3*k**4 = 0. What is k?
0, 1, 39
Suppose 22*w + 108 - 56 = 52. Solve w + 2/15*g**2 + 0*g - 2/15*g**3 = 0.
0, 1
Let z be ((-56)/3430*30)/((-4)/14). Determine d so that -4*d**3 - 18/7*d + z*d**4 + 4/7 - 2/7*d**5 + 32/7*d**2 = 0.
1, 2
Let y(d) be the second derivative of -d**7/42 - d**6/30 + d**5/5 + d**4/3 - 864*d + 1. Factor y(w).
-w**2*(w - 2)*(w + 1)*(w + 2)
Let p(l) be the third derivative of l**5/20 - 55*l**4/4 + 108*l**3 + 147*l**2. Factor p(h).
3*(h - 108)*(h - 2)
Let u = 761234 + -761230. Let -9/4*k**5 + 0*k**2 + 15/2*k**u + 0 + 0*k + 6*k**3 = 0. Calculate k.
-2/3, 0, 4
Suppose -80*m - 90 = -89*m. Find c, given that -m + 3*c**2 + 0*c**2 - 4*c**2 - 35*c - c - 25 = 0.
-35, -1
Let h = -90 - -92. Factor 10*g - 23*g + 100 + g**h - 7*g.
(g - 10)**2
Determine j so that 2/3*j**3 + 16/3*j**2 - 158*j + 504 = 0.
-21, 4, 9
Let i(m) be the first derivative of -m**8/6720 + m**7/1120 - m**6/480 + m**5/480 - 121*m**3/3 - 168. Let f(y) be the third derivative of i(y). Factor f(b).
-b*(b - 1)**3/4
Let p be (-2 - -1)*17/((-34)/10). Suppose 3*l + 4*z = -11, -p*l + 29 = -z + 9. Factor 7/2*i**2 + 0 - 7/2*i**4 + i - i**l.
-i*(i - 1)*(i + 1)*(7*i + 2)/2
Let d(l) = -100*l - 3396. Let j be d(-34). Let u(f) be the second derivative of 6*f - 35/9*f**3 + 25/3*f**2 + 11/18*f**j + 0 - 1/30*f**5. Factor u(p).
-2*(p - 5)**2*(p - 1)/3
Let n = -8472964/7 - -1210442. Solve n*h**2 - 44/7*h + 2/7*h**5 + 0 + 38/7*h**4 - 18*h**3 = 0 for h.
-22, 0, 1
Let w = 373191 - 1119533/3. Factor -5/3*g**5 + 25/3*g**3 - 5/3*g**2 + 5/3*g**4 - 20/3 - w*g.
-5*(g - 2)**2*(g + 1)**3/3
Let w(t) be the first derivative of -125*t**6/6 - 71*t**5 + 1185*t**4/4 - 805*t**3/3 + 50*t**2 + 10218. Determine b, given that w(b) = 0.
-5, 0, 4/25, 1
Suppose 213*l = 229*l - 157*l. Let b(j) be the second derivative of 2/5*j**6 + 19*j + 0 + 3/2*j**4 + 15/4*j**5 + 0*j**2 + l*j**3. Suppose b(d) = 0. Calculate d.
-6, -1/4, 0
Let o be 49/(-140)*(29 - (-15)/3). Let m = o + 67/5. What is f in 9/2*f + m*f**2 + 3 = 0?
-2, -1
Let j = -70549/160 + 945/32. Let s = -411 - j. Let 4/15 + s*a + 2/15*a**2 = 0. Calculate a.
-2, -1
Suppose -280*b - 111*b + 1424 = -35*b. Suppose -3/5*l**2 + 1/5*l**b + 0*l - 2/5*l**3 + 0 = 0. Calculate l.
-1, 0, 3
Let h be -24 + 24 + (0 + 0)/(-1). Let j(i) be the second derivative of -1/110*i**5 - 1/33*i**4 + 0 + 1/165*i**6 + 0*i**2 - 14*i + h*i**3. Solve j(w) = 0.
-1, 0, 2
Let h(j) be the first derivative of -j**5 + 355*j**4/12 - 1640*j**3/9 + 1010*j**2/3 - 240*j - 2856. What is y in h(y) = 0?
2/3, 1, 4, 18
Factor -237/8*n + 15/4*n**2 - 3.
3*(n - 8)*(10*n + 1)/8
Let a(c) = -c - 32. Let m be a(19). Let p be (8/34)/((-6)/m). Factor -10/3*k - 2/3 - 14/3*k**p - 2*k**3.
-2*(k + 1)**2*(3*k + 1)/3
Factor -6*v + 0*v**4 - 4*v**2 + 30*v + 4*v**4 - 6*v**3 - 2*v**4 - v**4.
v*(v - 6)*(v - 2)*(v + 2)
Suppose -97*r + 65*r = -32. Let z be ((-284)/(-355))/(17/10 - r). Suppose z*s**3 + 22/7*s**2 + 1/7*s**4 + 9/7 + 24/7*s = 0. Calculate s.
-3, -1
Let t(q) be the first derivative of 142/21*q**3 + 16/7*q**2 - 2/5*q**5 - 31 - 31/28*q**4 - 128/7*q - 1/42*q**6. Find c such that t(c) = 0.
-8, -1, 1, 2
Let s = -1630 + 1630. Let d(z) be the second derivative of s + 13*z + 7/2*z**4 - 49/30*z**5 + 9/7*z**2 - 3*z**3. Solve d(n) = 0.
3/7
Let q(p) = 260*p + 11962. Let n be q(-46). Suppose 1/5*l**n - 6/5*l + 9/5 = 0. What is l?
3
Let k(a) be the third derivative of -a**3 - 1/300*a**5 + 0*a - 11/120*a**4 - 2 - 48*a**2. Factor k(v).
-(v + 5)*(v + 6)/5
Let m(j) be the second derivative of -8*j**6/5 + 1333*j**5/5 - 110*j**4/3 - 74*j**3 - 8596*j. Solve m(r) = 0 for r.
-1/4, 0, 1/3, 111
Let w(q) be the first derivative of q**5/160 + 7*q**4/64 + 3*q**3/8 - 49*q**2/2 + 49. Let u(g) be the second derivative of w(g). Let u(m) = 0. Calculate m.
-6, -1
Let j(b) = 7*b**2 - b + 1. Let d(i) = -2*i**3 - 81*i**2 + 41*i + 61. Let o(u) = d(u) + 11*j(u). Factor o(g).
-2*(g - 4)*(g + 3)**2
Let c(w) be the first derivative of -w**3/18 + 93*w**2/4 - 581. Factor c(t).
-t*(t - 279)/6
Let x(v) be the third derivative of -v**5/390 - 49*v**4/52 + 298*v**3/39 + 912*v**2. Determine h so that x(h) = 0.
-149, 2
Let h be (-3 + (-246)/(-81))/(6 - 224/42). Let b(l) be the first derivative of -7 + h*l**3 - 5/6*l + 1/3*l**2. Let b(z) = 0. Calculate z.
-5, 1
Suppose 22 - 10*v**2 + 13*v - 2 - 4 + 3 + 3 - v**3 = 0. What is v?
-11, -1, 2
Let d(z) be the first derivative of 1/12*z**3 - 7/2*z + 5/8*z**2 + 72. Suppose d(t) = 0. Calculate t.
-7, 2
Let d = 773095/8 + -193273/2. Factor 9/8 - 3/4*g - d*g**2.
-3*(g - 1)*(g + 3)/8
Let c(j) be the third derivative of j**5/150 + 37*j**4/20 + 218*j**3/15 + 12*j**2 + 42*j. Factor c(q).
2*(q + 2)*(q + 109)/5
Let b(f) be the second derivative of f**5/150 + 113*f**4/9 + 63845*f**3/9 - 24*f - 1. Factor b(m).
2*m*(m + 565)**2/15
Let v = -14/13 + -2767/26. Let k = -107 - v. Let -k*f**2 - f - 1/2 = 0. What is f?
-1
Let h(c) = c**2 - 2013*c + 508232. Let g be h(296). Factor g*p**2 - 2/5*p**3 + 0 + 0*p.
-2*p**3/5
Let c = 120 - 524. Let o = 419 + c. Factor o + 9/2*k**3 - 21/2*k - 21*k**2.
3*(k - 5)*(k + 1)*(3*k - 2)/2
Let a be 0/(2 - -4) + (-108)/2. Let p = a + 54. Factor -12*f**3 - 3*f**4 + p - 15*f**2 - 6*f + 0.
-3*f*(f + 1)**2*(f + 2)
Let v(p) be the third derivative of -p**8/168 - p**7/105 + p**6/20 + p**5/6 + p**4/6 - 685*p**2 - p. Suppose v(q) = 0. Calculate q.
-1, 0, 2
Let q be (21 + -42)/231 - (-161)/1650. Let r(b) be the second derivative of 8*b + 0 - q*b**5 + 12/5*b**2 + 13/90*b**4 - 16/15*b**3. Suppose r(p) = 0. What is p?
1, 6
Let b(h) = 3*h**4 - 6*h**3 - 41*h**2 + 36*h + 76. Let q(r) = -3*r**4 + 6*r**3 + 42*r**2 - 36*r - 72. Let t(w) = -9*b(w) - 8*q(w). Factor t(i).
-3*(i - 3)**2*(i + 2)**2
Let z be (514/(-1799))/(50/(-35)*(-3)/(-6)). Factor 18/5*k - z*k**2 + 4.
-2*(k - 10)*(k + 1)/5
Let k(f) be the second derivative of 2/9*f**3 - 1/30*f**5 + 0 - 1/18*f**4 - 19*f + 0*f**2. Let k(z) = 0. What is z?
-2, 0, 1
Let m(f) be the first derivative of -2*f**4/5 + 64*f**3/15 + 39*f**2 - 630*f - 1625. Factor m(v).
-2*(v + 7)*(2*v - 15)**2/5
Let a(n) = 4*n**4 + 12*n**2 + 4*n - 12. Suppose 198 - 197 = f. Let y(o) = -o**3 - 1. Let q(d) = f*a(d) - 12*y(d). Factor q(v).
4*v*(v + 1)**3
Let n be (3 + (-203)/21 + 7)/(33 + -5). Let l(z) be the third derivative of 0 - n*z**4 + 0*z + 1/420*z**6 - 1/70*z**5 + 1/7*z**3 + 18*z**2. Factor l(g).
2*(g - 3)*(g - 1)*(g + 1)/7
Let x(k) be the first derivative of -68 - 6*k + 7*k**2 + 1/2*k**4 - 10/3*k**3. Let x(f) = 0. Calculate f.
1, 3
Find x such that -31684/7 - 12/7*x**4 - 92564/7*x**2 - 2122/7*x**3 + 110182/7*x = 0.
-89, 1/2, 2/3
Let s = 5546564/6149 - -60/473. Let i = -902 + s. What is m in 4/13*m - i*m**2 + 6/13 = 0?
-1, 3
Let f(t) = -5*t**2 + t + 34. Let p(u) = -6*u**2 + u + 32. Let b(q) = 5*f(q) - 6*p(q). Let n(r) = 10*r**2 - 20. Let a(v) = -5*b(v) + 6*n(v). Factor a(x).
5*(x - 1)*(x + 2)
Let p be 72/(-32)*(-4272)/12. Let d = p - 1601/2. Suppose 0 - 2*c**3 - c + 5/2*c**2 + d*c**4 = 0. What is c?
0, 1, 2
Let v(g) be the second derivative of 0 + 80*g + 0*g**2 - 1/55*g**5 + 0*g**3 + 1/165*g**6 - 2/33*g**4 + 1/462*g**7. Find o such that v(o) = 0.
-2, 0, 2
Let a(t) be the second derivative of -t**3 - 35 - 2*t - 3/4*t**4 - 3/20*t**5 + 0*t**2. Factor a(j).
-3*j*(j + 1)*(j + 2)
Let