et i = -110 + 112. Factor 30*h + 46*h**3 - 40*h**2 + 11*h**4 + 14*h**3 - 85*h**i + 24*h**4.
5*h*(h - 1)*(h + 3)*(7*h - 2)
Let i(d) = -2*d + 3. Let x be i(0). Find t such that 0*t**2 + 4*t**2 - 10*t**4 + t**4 - x*t**4 - 8*t**3 = 0.
-1, 0, 1/3
Suppose 0 = -p - 4*p + 40. Suppose 12 + p = 4*l. Determine q so that 2*q**l + 2*q**5 + 2*q**3 + 2*q**5 - 8*q**4 = 0.
0, 1/3, 1
Let g = -40 - -42. Solve -z + z + 14*z + 4 + 10*z**g = 0 for z.
-1, -2/5
Let q be ((-2)/(-6) - 2)*66/(-22). Let f(l) be the third derivative of 3/20*l**5 - q*l**2 - 3/70*l**7 - 1/8*l**4 + 1/40*l**6 + 0*l**3 + 0*l + 0. Factor f(u).
-3*u*(u - 1)*(u + 1)*(3*u - 1)
Let t(f) be the first derivative of 0*f - 14 - 1/16*f**4 + 1/6*f**3 - 1/8*f**2. What is m in t(m) = 0?
0, 1
Suppose 53*u - 139 - 56 + 36 = 0. Let 2/3*y**4 + 0*y - 2/3*y**2 + 0*y**u + 0 = 0. Calculate y.
-1, 0, 1
Let k(j) be the second derivative of -j**7/1680 + j**6/96 - 2*j**4 - 30*j. Let v(q) be the third derivative of k(q). Suppose v(a) = 0. Calculate a.
0, 5
Let q be (-3843)/(-54) - 2/12. Let s = -71 + q. Factor 0*r**2 - 2/9*r**3 + 0 + s*r + 0*r**4 + 2/9*r**5.
2*r**3*(r - 1)*(r + 1)/9
Let p(c) = 3*c**4 - c**2 + c + 1. Let y(l) = -7*l**4 - 3*l**3 + 5*l**2 + 5*l - 8. Let v(u) = 2*p(u) + y(u). What is q in v(q) = 0?
-3, -2, 1
Suppose 0 = 5*u - 63 - 87. Determine l, given that -u*l**2 + 16 - 4*l + 16*l**2 + 4*l**3 - 2*l**2 = 0.
-1, 1, 4
Let k(m) = -3*m**3 - 45*m**2 + 171*m + 453. Let c(l) = -20*l**3 - 292*l**2 + 1112*l + 2944. Let q(d) = 5*c(d) - 32*k(d). Solve q(n) = 0.
-7, -2, 4
Let m(w) be the first derivative of w**4 - 28*w**3/3 - 10*w**2 + 300*w + 79. Suppose m(c) = 0. What is c?
-3, 5
Let q(z) be the third derivative of z**5/60 - z**4/2 + 11*z**3/6 - 8*z**2 - z. Factor q(b).
(b - 11)*(b - 1)
Let f(t) be the third derivative of -t**6/480 + t**5/30 - 13*t**4/96 + t**3/4 - 6*t**2 - 4*t. Factor f(i).
-(i - 6)*(i - 1)**2/4
Let a(b) be the first derivative of b**4 - 168*b**3 + 10584*b**2 - 296352*b + 141. Factor a(o).
4*(o - 42)**3
Let n(u) be the first derivative of 4/21*u**3 - 5/14*u**4 + 6/35*u**5 + 0*u - 3 + 0*u**2. Let n(t) = 0. Calculate t.
0, 2/3, 1
Suppose 4*m = -3 + 7. Let a(i) = 3*i**3 + i**2 - 1. Let j be a(m). Factor 2*f**3 + 2*f**5 - f - 6*f**3 + j*f.
2*f*(f - 1)**2*(f + 1)**2
Let h(a) be the second derivative of -1/4*a**4 - 1/2*a**3 + 3/5*a**5 - 7/20*a**6 + 1/14*a**7 - 10*a + 3/4*a**2 + 0. Factor h(d).
3*(d - 1)**4*(2*d + 1)/2
Suppose -7*j + 2 = -19. Let g(d) be the first derivative of 0*d**2 - 4/5*d**4 - 2/5*d + 4/5*d**j + 6/25*d**5 + 3. Factor g(h).
2*(h - 1)**3*(3*h + 1)/5
Let r(u) be the first derivative of 3*u**7/1120 + u**6/480 - u**5/80 + 10*u**3/3 + 7. Let l(f) be the third derivative of r(f). Factor l(d).
3*d*(d + 1)*(3*d - 2)/4
Let l(q) be the second derivative of 2*q**7/21 - 2*q**6/3 - q**5/5 + 5*q**4/3 - 32*q + 2. Factor l(g).
4*g**2*(g - 5)*(g - 1)*(g + 1)
Let k(l) be the third derivative of l**6/20 - l**5/20 - l**4/4 + l**3/2 - 32*l**2. Factor k(d).
3*(d - 1)*(d + 1)*(2*d - 1)
Solve 27 + 45*h - 46 - 56*h**2 - 89 + 53*h**2 = 0 for h.
3, 12
Let a(q) be the first derivative of -60*q**3 + 159*q**2/2 - 12*q - 124. What is m in a(m) = 0?
1/12, 4/5
Let q = 222 - 215. Let o(t) be the third derivative of -3/200*t**6 + 1/100*t**5 + 0*t + 0*t**3 + 0 - 3*t**2 + 3/350*t**q - 1/560*t**8 + 0*t**4. Factor o(g).
-3*g**2*(g - 1)**3/5
Let m(q) be the second derivative of 1 + 1/102*q**4 + 2/51*q**3 + 37*q + 0*q**2. Factor m(l).
2*l*(l + 2)/17
Suppose 4*o - 10 - 2 = 0. Factor 8*q - 2*q**3 - 47*q**2 + 0*q**o - 2*q**3 + 51*q**2.
-4*q*(q - 2)*(q + 1)
Suppose -3*h - 351 = 2*w, 3*h - 2*h = 2*w - 125. Let i = h - -119. Solve 3/5*p**2 + i + 1/5*p + 1/5*p**4 + 3/5*p**3 = 0.
-1, 0
Let s(t) be the third derivative of -t**6/120 - 3*t**5/5 - 95*t**4/8 + 361*t**3/3 - 171*t**2. Factor s(o).
-(o - 2)*(o + 19)**2
Let u be 435/203*((-6)/(-6) - -6). What is s in -63/2*s**2 + 18*s + u*s**3 - 3/2 = 0?
1/10, 1
Let w(f) be the second derivative of -1/3*f**4 - 2/15*f**6 + 4*f**2 - 2*f**3 + 10*f + 0 + 3/5*f**5. Determine y so that w(y) = 0.
-1, 1, 2
Factor 2/3*y**3 - 8/3 - 4/3*y**2 - 14/3*y.
2*(y - 4)*(y + 1)**2/3
Factor 8/17*z**3 - 2/17*z**5 + 16/17*z**2 + 0*z + 0 - 4/17*z**4.
-2*z**2*(z - 2)*(z + 2)**2/17
Let t = 3 - 2. Let u be 2 - -1 - (t - 0). Factor -1/4 + 0*h + 1/4*h**u.
(h - 1)*(h + 1)/4
Let t = 725/17 - 3608/85. Suppose 0 - 9/5*h - t*h**2 = 0. What is h?
-9, 0
Let w(y) = y**3 + 8*y**2 + 10*y - 5. Let g be w(-5). Let f = 29 - g. Suppose -6*t**2 + 11 - 6 + 22*t**2 - f*t**3 - 5*t - 7 = 0. What is t?
-2/9, 1
Suppose 9 = 4*o - o. Let u(z) be the third derivative of 0*z + 1/390*z**5 + 0 + 0*z**o + 1/1365*z**7 + 0*z**4 + 3*z**2 + 1/390*z**6. Factor u(i).
2*i**2*(i + 1)**2/13
Let a(u) be the third derivative of 0*u + 0 - 1/280*u**6 - 1/168*u**4 + 1/42*u**5 - 24*u**2 - 1/7*u**3. What is b in a(b) = 0?
-2/3, 1, 3
Factor 2/11*g**3 - 14/11*g**2 - 16/11*g + 0.
2*g*(g - 8)*(g + 1)/11
Let y be (-30)/4*166/(-2490). Factor -1/2 - b + y*b**4 + 0*b**2 + b**3.
(b - 1)*(b + 1)**3/2
Let p = 23/61393 + 58989220/25232523. Let m = p + -2/411. Factor -a**2 + m*a + 2.
-(a - 3)*(3*a + 2)/3
Let q(u) = u**2 - 1. Let z(n) = -3*n**2 + 3. Let o(v) = -6*v**2 - v + 5. Let w(a) = -2*o(a) + 5*z(a). Let d(m) = -2*q(m) - w(m). Suppose d(t) = 0. What is t?
-1, 3
Let v be (6/14)/(10/490). Find t, given that 47/2*t**3 + 2*t + 3/2*t**5 - 4 + v*t**2 + 10*t**4 = 0.
-2, -1, 1/3
Let r(p) be the second derivative of 0 - 1/60*p**4 + 1/10*p**3 + 0*p**2 - 12*p. Suppose r(q) = 0. What is q?
0, 3
Let f(p) be the third derivative of p**8/168 + 11*p**7/315 + p**6/20 - 7*p**5/90 - p**4/3 - 4*p**3/9 - 113*p**2. Find i such that f(i) = 0.
-2, -1, -2/3, 1
Let b(m) be the third derivative of m**6/60 - 17*m**5/30 + 11*m**4/3 - 28*m**3/3 - m**2 + 45. Determine d so that b(d) = 0.
1, 2, 14
Let y(n) be the third derivative of 1/252*n**7 - 1/36*n**5 + 6*n**2 + 0*n**6 + 0*n**4 + 0 + 5/36*n**3 + 0*n. Let y(l) = 0. What is l?
-1, 1
Let o(b) be the first derivative of 0*b**3 + 3*b - 6 - 1/12*b**4 + 1/2*b**2. Let x(w) be the first derivative of o(w). What is j in x(j) = 0?
-1, 1
Suppose 8*p - 151*p = 230*p. Factor 3/7*x**3 + 0*x + p*x**2 - 4/7*x**4 + 1/7*x**5 + 0.
x**3*(x - 3)*(x - 1)/7
Suppose 0 = 2*p + 5*p - 28. Let -68*b**5 + 18*b + 36*b**5 - 87*b**2 - 81*b**p + 135*b**3 + 47*b**5 = 0. What is b?
0, 2/5, 1, 3
Let h be (-1)/(6 + 19/(-3)). Let m(c) be the third derivative of 0*c + 1/120*c**6 + 0*c**h + 0 + 3*c**2 + 1/24*c**4 - 1/30*c**5. Find s such that m(s) = 0.
0, 1
Let u be ((-162)/12 - -13)*2/(-4). Let u*q**2 - 1/4*q - 1/4*q**4 + 1/4*q**3 + 0 = 0. Calculate q.
-1, 0, 1
Let w(y) be the third derivative of -5*y**2 + 0 + 1/960*y**6 + 1/64*y**4 - 1/160*y**5 - 1/48*y**3 + 0*y. Solve w(v) = 0 for v.
1
Factor 28/9*u + 2/9*u**2 + 0.
2*u*(u + 14)/9
Let s(j) = 10*j + 12 + 10*j**2 + 4*j**3 - 8*j**3 + 4*j**3 + j**3. Let w be s(-9). Factor z**2 - 1/2*z**5 + 0*z**w - z**4 + 1/2*z + 0.
-z*(z - 1)*(z + 1)**3/2
Let y(u) = -17*u - 23. Let d(p) = p**2 + 6*p + 8. Let h(x) = -8*d(x) - 3*y(x). Find q, given that h(q) = 0.
-5/8, 1
Let w = 914/105 - 1406/195. Let q = w - 12/13. Factor -4/7*z**2 - 2/7*z + q + 2/7*z**3.
2*(z - 2)*(z - 1)*(z + 1)/7
Let g = 224 - 217. Let l(f) be the third derivative of -1/56*f**8 + 0*f + 0 + 0*f**4 + 4*f**2 + 1/21*f**g + 0*f**3 - 1/30*f**5 - 1/60*f**6. Factor l(k).
-2*k**2*(k - 1)**2*(3*k + 1)
Let p = 2025 - 22305/11. Let n = p + 32/11. Factor n*s**2 + 0 + 2/11*s.
2*s*(s + 1)/11
Let y(r) be the second derivative of r**5/150 + 7*r**4/30 - r + 10. Factor y(g).
2*g**2*(g + 21)/15
Suppose 4*d + 320 = 4*k, 3*k - 5*d = 129 + 121. Let p = k - 71. Factor -2/3 - 6*t**p - 16*t**3 - 16/3*t - 44/3*t**2.
-2*(t + 1)**2*(3*t + 1)**2/3
Let m(r) = -24*r**2 - 4*r - 2. Let w be m(-2). Let d = w - -452/5. Solve 0 - d*h + 2/5*h**2 = 0 for h.
0, 1
Suppose 7*j + 699 = 713. Factor 2/11*p**j + 9/11*p**3 - 2/11 - 9/11*p.
(p - 1)*(p + 1)*(9*p + 2)/11
Let q(u) = -44*u**3 + 208*u**2 - 304*u + 128. Let w(k) = -88*k**3 + 416*k**2 - 608*k + 256. Let g(j) = -13*q(j) + 6*w(j). Factor g(v).
4*(v - 2)**2*(11*v - 8)
Let r be (-8 + 23)*2/6. Find i such that 1 - 8*i**2 - 11 - r*i**2 - 5*i**3 - 7*i**2 - 25*i = 0.
-2, -1
Factor 225*y**3 + 195*y**3 + 64 - 408*y**3 + 52*y**2 + y**4 + 96*y.
(y + 2)**2*(y + 4)**2
Solve 3/5*y**2