l - 48*l + 3*l**4 + l**4 = 0. Calculate l.
0, 1/2, 9
Let x be -1 + -1 - (5 - (7 + 2)). Suppose -x*p = -6 + 2. Factor -22/5*y**p - y**3 - 28/5*y - 8/5.
-(y + 2)**2*(5*y + 2)/5
Let s(m) = -m**2 + 1. Let q(h) = -10*h**2 + h + 11. Let t be ((-16)/(-20))/((-4)/(-10)). Let n(w) = t*q(w) - 22*s(w). Solve n(k) = 0 for k.
-1, 0
Let y(f) = f - 2. Let k be y(4). Let g be (49 - 40)*(-4)/(-3). Determine u, given that g*u**4 + u**3 + u**3 - u - 2*u**5 - k*u**2 - 2*u**2 - 7*u**5 = 0.
-1/3, 0, 1
Let z(y) be the third derivative of 1/80*y**6 - 3*y**2 - 1/224*y**8 - 1/40*y**5 + 0 + 0*y**3 + 1/140*y**7 + 0*y + 0*y**4. Factor z(u).
-3*u**2*(u - 1)**2*(u + 1)/2
Let a(s) be the first derivative of -s**8/4200 + s**6/225 - 28*s**3/3 - 9. Let z(w) be the third derivative of a(w). Determine d so that z(d) = 0.
-2, 0, 2
Let m be (0 + (-8)/(-6))/(20/45). Let w be -3 + -1 - (-13)/m. Factor 0 - 5/3*i**2 - w*i - 4/3*i**3.
-i*(i + 1)*(4*i + 1)/3
Let o(g) be the first derivative of 5*g**4/12 - 13*g**3/9 + 11*g**2/6 - g - 230. Factor o(q).
(q - 1)**2*(5*q - 3)/3
Let w(i) be the second derivative of -i**8/1120 - i**7/840 - 3*i**4/4 + 26*i. Let d(c) be the third derivative of w(c). Suppose d(s) = 0. Calculate s.
-1/2, 0
Let a(u) = -125*u**2 + 1675*u - 1805. Let x(h) = 3*h**2 - 40*h + 43. Let j(w) = -2*a(w) - 85*x(w). Find t such that j(t) = 0.
1, 9
Find w, given that 2*w**3 - 182*w**2 - 16 + 348*w**2 - 160*w**2 - 12*w = 0.
-4, -1, 2
Let i(k) = -2*k**3 - 9*k**2 - 5*k - 5. Suppose 40 = -12*h + 4*h. Let u(c) = -c**2 - c - 1. Let r(p) = h*u(p) + i(p). Solve r(g) = 0 for g.
-2, 0
Let r = 526/3 - 174. Determine x so that r*x + 0 - 4/3*x**2 = 0.
0, 1
Let x = 13354 + -66753/5. Determine c so that -49/5*c**3 - 9*c**2 - x*c**4 - 11/5*c + 2/5 = 0.
-1, 2/17
Let f(c) = -3*c**3 - 2*c**2 - 3*c - 2. Let h be f(-1). Suppose 3*y**h - 18*y**2 - 16*y + 11*y**2 = 0. What is y?
-4, 0
Factor -179*j**2 + 12*j**4 - 21 - 56*j**2 + 57*j**3 + 93*j**2 - 29*j**2 + 123*j.
3*(j - 1)**2*(j + 7)*(4*j - 1)
Let m(z) be the third derivative of -z**8/1512 - z**7/189 - z**6/60 - 7*z**5/270 - z**4/54 + 5*z**2 + 6. Determine u, given that m(u) = 0.
-2, -1, 0
Let o = 110 - 106. Factor 19*l**3 + 4*l**5 + 0*l**3 + 3*l**4 + l**3 + 8*l**2 + 13*l**o.
4*l**2*(l + 1)**2*(l + 2)
Let w(o) be the third derivative of o**5/135 - o**4/36 + o**3/27 - 2*o**2 + 10. Find j, given that w(j) = 0.
1/2, 1
Suppose 9*x**3 + 31*x + 212*x + 9*x**3 - 231 - 21*x**3 - 9*x**2 = 0. Calculate x.
-11, 1, 7
Let o = 35 - 35. Factor -4*k**2 - 593 + o*k**2 + 597.
-4*(k - 1)*(k + 1)
Suppose 6*q**4 - 28*q**2 + 50/11 + 120/11*q + 64/11*q**3 + 8/11*q**5 = 0. Calculate q.
-5, -1/4, 1
Let v(d) be the first derivative of 1/3*d + 1 + 7/24*d**4 - 2/3*d**3 + 1/4*d**2. Let v(t) = 0. What is t?
-2/7, 1
Factor -72 + 100*z**2 - 8*z - 101*z**2 - 28*z + 4.
-(z + 2)*(z + 34)
Let b = -10 - -34. Let h = -20 + b. Factor 2*u**3 - 6*u**3 - 23*u**3 - 3*u**5 - 14*u**h - 4*u**4.
-3*u**3*(u + 3)**2
Let n be (-18)/(-12) - (-3)/2*(-18)/(-54). Suppose 2/11*g**5 + 0*g + 0*g**n - 4/11*g**3 + 0 + 2/11*g**4 = 0. What is g?
-2, 0, 1
Suppose 2*r - 12 = -2*r. Factor 7*q**4 + q**r + 9*q**4 - 21*q**4 - 11*q**3 + 15*q**2.
-5*q**2*(q - 1)*(q + 3)
Let r(v) = v**2 - 1027*v + 17174. Let l be r(17). Let 0 + 0*o + 0*o**l - 2*o**3 + 2/3*o**5 + 4/3*o**2 = 0. Calculate o.
-2, 0, 1
Let z be 1 + -8 - ((-348)/(-36) - 18). Solve 2/3*m**3 - z*m + 0 + 2/3*m**2 = 0 for m.
-2, 0, 1
Let g(d) be the second derivative of -d**5/5 - 133*d**4/3 - 8710*d**3/3 + 8978*d**2 + 54*d - 8. Factor g(m).
-4*(m - 1)*(m + 67)**2
Suppose -y = -8*v + 13, -y - 21*v = -23*v + 1. Factor 1/3*h**4 + 7/3*h + 5/3*h**3 + 2/3 + y*h**2.
(h + 1)**3*(h + 2)/3
Let x(g) be the second derivative of 2*g**7/147 - 2*g**5/35 + 2*g**3/21 - 2*g + 29. Factor x(r).
4*r*(r - 1)**2*(r + 1)**2/7
Factor -4*y**4 + 11*y - 12*y**3 - 8*y**2 - 18*y + 7*y.
-4*y**2*(y + 1)*(y + 2)
Let p(n) = n**2 + 13*n + 3. Suppose -5*s + 39 = -8*s. Let v be p(s). Solve 0*w**3 + 4*w**2 - 3*w**v + 2*w**2 = 0 for w.
0, 2
Suppose -8*g**2 + 13*g + 42*g - 8*g**2 + 11*g**2 = 0. What is g?
0, 11
Suppose -9 = -3*u - 21. Let z(t) = t**2 - t + 1. Let a(m) = -46*m**2 + 56*m - 14. Let j(c) = u*z(c) + a(c). Factor j(s).
-2*(5*s - 3)**2
Let a(b) be the first derivative of -b**5/30 - b**4/3 - b**3/3 + 2*b**2/3 + 7*b/6 - 226. Factor a(g).
-(g - 1)*(g + 1)**2*(g + 7)/6
Let i(k) = 3*k**2 + 0*k**2 + k + 5*k + 4*k**2 + 0*k. Let w be 3/12 - (-34)/(-8). Let s(n) = -8*n**2 - 6*n. Let y(o) = w*s(o) - 5*i(o). Factor y(a).
-3*a*(a + 2)
Suppose 2*j = -0*j - 8. Let q(a) = a**3 + 5*a**2 + 2*a - 1. Let c be q(j). What is p in -c*p**2 - 2*p**3 - 2 - 9*p**2 - 10*p - 6*p**3 = 0?
-1, -1/2
Let l(q) be the second derivative of q**7/560 - q**6/320 - 3*q**5/160 + q**4/64 + q**3/8 - q**2/2 + 4*q. Let u(r) be the first derivative of l(r). Factor u(p).
3*(p - 2)*(p - 1)*(p + 1)**2/8
Suppose -3*l + 2*s - 2 = 2, -l = s - 7. Let i(p) = -p + 7. Let u be i(3). Factor -u + 4 - 2*w**l + 8.
-2*(w - 2)*(w + 2)
Factor -10/7*a + 0 + 10/7*a**3 - 2/7*a**4 + 2/7*a**2.
-2*a*(a - 5)*(a - 1)*(a + 1)/7
Suppose -5*k = -10*k - 3*y + 35, -31 = -4*k - 3*y. Let z(o) be the first derivative of -2/5*o**3 - 2/5*o - 8 + 3/5*o**2 + 1/10*o**k. Factor z(l).
2*(l - 1)**3/5
Let t(d) be the second derivative of 24*d + 0*d**2 - 1/5*d**5 + 0 + 0*d**3 + 1/3*d**4. Let t(w) = 0. What is w?
0, 1
Let s(n) = -27*n**3 + 112*n**2 - 2*n + 13. Let y(a) = -7*a**3 + 28*a**2 + 3. Let m(g) = 6*s(g) - 26*y(g). Factor m(z).
4*z*(z - 3)*(5*z + 1)
Let x(y) be the second derivative of 0*y**2 + 1/36*y**4 + 0*y**3 + 1/40*y**5 + 0 - 2*y. Factor x(n).
n**2*(3*n + 2)/6
Let v = 58 - 55. Factor -16*s**3 + 4*s**4 - 4*s**2 - 2*s - v*s + s + 20*s**3.
4*s*(s - 1)*(s + 1)**2
Let f(v) be the first derivative of -3*v**4/20 - 6*v**3/5 + 15*v**2/2 - 54*v/5 + 75. Solve f(m) = 0 for m.
-9, 1, 2
Let g(p) be the first derivative of -p**6/6 + 6*p**5/5 + 6*p**4 + 26*p**3/3 + 9*p**2/2 + 223. Factor g(w).
-w*(w - 9)*(w + 1)**3
Let r(j) = -444 + 444 - j**2. Let g(u) = -u**3 + 8*u**2 - 10*u - 1. Let s be g(7). Let v(i) = 13*i**2 - 4*i. Let k(w) = s*r(w) - 2*v(w). Factor k(m).
-4*m*(m - 2)
Let r(n) be the third derivative of n**5/240 - 113*n**4/96 + 14*n**3/3 - 12*n**2 + 14. Factor r(t).
(t - 112)*(t - 1)/4
Suppose 0 = 5*b - 3*b - 5*v + 181, 334 = -3*b - 5*v. Let r = b + 103. Suppose 11*g**3 - g + r + 7/2*g**2 = 0. Calculate g.
-1/2, 0, 2/11
Let n(z) be the third derivative of -z**7/735 - z**6/420 + z**5/70 + 5*z**4/84 + 2*z**3/21 + 25*z**2. Find w such that n(w) = 0.
-1, 2
Let c(f) = 4*f**2 - f. Let x(y) = y**2. Suppose -r + 14 = 4*v, r + 3*v + 0 = 9. Let k = 100 - 98. Let u(o) = k*c(o) + r*x(o). Factor u(j).
2*j*(j - 1)
Let w(t) be the third derivative of -t**7/8820 - t**6/360 - t**5/42 + 7*t**4/8 + 3*t**2. Let j(n) be the second derivative of w(n). Factor j(k).
-2*(k + 2)*(k + 5)/7
Let u be (204/85)/(2/(-35)). Let s = -27 - u. Factor r + 3*r - 6 + 2*r + 3*r + s*r**2.
3*(r + 1)*(5*r - 2)
Let n be 38/(-3) - (-4)/6. Let f be n/(-4) + (-2 - 1). Determine x so that x + 2*x + 0*x**5 - 6*x**3 + 3*x**5 + f*x = 0.
-1, 0, 1
Let j(s) be the second derivative of -s**4/30 - 118*s**3/15 - 3481*s**2/5 - 2*s + 30. What is t in j(t) = 0?
-59
Let x(t) be the third derivative of t**10/302400 - t**9/20160 + 7*t**5/20 + 13*t**2. Let f(b) be the third derivative of x(b). Suppose f(o) = 0. Calculate o.
0, 6
Let r be 4/(0 - 4)*-3. Factor -6*m**r - 21*m - 3*m**4 - 3 + 6*m**2 - 2*m**5 + 5*m**5 + 24*m.
3*(m - 1)**3*(m + 1)**2
Suppose -6 - 6 = 3*p. Let f = p + 6. Find i such that -f - 18*i**2 - 3*i**4 + 0*i - 1 - 12*i**3 + 0*i**4 - 12*i = 0.
-1
Let v = -80 - -87. Suppose -y = v*y. Factor -2/9*w**2 + y + 2/3*w**3 + 2/9*w**4 - 2/3*w.
2*w*(w - 1)*(w + 1)*(w + 3)/9
Factor -15*g**3 + 2*g**4 - 14*g + 6*g**3 + 5*g**3 + 30*g**2 - 14*g**3.
2*g*(g - 7)*(g - 1)**2
Factor 19*k + 183*k + 3*k**2 + 4*k**2 - 43*k - 4*k**2.
3*k*(k + 53)
Let a = -1 + 5. Let f be a - (4 - (-6)/(-2)). What is y in -10*y**5 - 3*y**4 + 6*y**2 - 34*y + 30*y - f*y**4 + 14*y**3 = 0?
-1, 0, 2/5, 1
Suppose 93 - 79 = 7*z. Find u, given that -9/2*u**z - 3/2*u + 0 = 0.
-1/3, 0
Let t be (-34)/4 - 59/((-2832)/432). Let s be (-5)/((-150)/(-8))*-5. Determine d, given that 1/3 + 1/2*d**3 + t*d - s*d**2 = 0.
-1/3, 1, 2
Let a = -7247 + 79719/11. What is n in -2/11*n**2 +