**3 + 0*q - 4*q**2 + 0 = 0 for q.
0, 10
Determine g, given that 0*g**2 + 8/3*g**4 + 0*g + 0 - 8/3*g**3 - 2/3*g**5 = 0.
0, 2
Let y(k) = -4*k**5 + 4*k**4 - 4*k**3 - 8*k**2 + 4*k. Let q(n) = -5*n**5 + 3*n**4 - 5*n**3 - 9*n**2 + 4*n. Let u(c) = -4*q(c) + 6*y(c). Let u(x) = 0. What is x?
-1, 0, 1, 2
Let o(p) = p**3 - 45*p**2 - 73*p - 43. Let w(t) = -2*t**3 + 135*t**2 + 221*t + 128. Let z(r) = -11*o(r) - 4*w(r). Factor z(c).
-3*(c + 1)**2*(c + 13)
Let l(r) = 15*r - 144. Let p be l(10). Let v(y) be the second derivative of 0 - 3/10*y**2 + 1/75*y**p + y - 11/30*y**3 - 1/100*y**5 - 11/60*y**4. Factor v(f).
(f - 3)*(f + 1)**2*(2*f + 1)/5
Factor 8 - 8 - 2538*k**2 - 45*k**3 + 2498*k**2 + 60*k + 25*k**4.
5*k*(k - 2)*(k - 1)*(5*k + 6)
Let z(p) = -24*p - 28*p**2 - 3*p**3 - 9 + 19*p**3 + 25. Let k(a) = a - 1. Let m(w) = 16*k(w) + z(w). Factor m(j).
4*j*(j - 2)*(4*j + 1)
Let k(m) be the third derivative of -m**6/900 - m**5/75 + 25*m**3/6 + 9*m**2. Let z(t) be the first derivative of k(t). Let z(v) = 0. Calculate v.
-4, 0
Let z(l) = 9*l**2 - 42*l - 138. Let r(y) = -2*y**2 + 2*y + 1. Let o(q) = -3*r(q) - z(q). Find h, given that o(h) = 0.
-3, 15
Let t(u) = -u**3 + 2*u**2 - 3*u + 9. Let b be t(2). Let f = 9 - 6. Find o, given that -2*o**4 - 7*o**3 + f*o**3 - 2*o**b - 4*o**2 = 0.
-2, -1, 0
Let x be (((-1056)/77)/(-12))/8. Factor -x*t**2 + 0*t + 0 - 1/7*t**3.
-t**2*(t + 1)/7
Factor 79350*j**2 + 625/4 + 486680*j**3 + 5750*j + 1119364*j**4.
(46*j + 5)**4/4
Let j(y) be the first derivative of -y**5/5 + 7*y**4/4 + y**3 - 19*y**2/2 - 14*y - 170. Factor j(z).
-(z - 7)*(z - 2)*(z + 1)**2
Let z be -6*(16 + 2)/(-3). Let o be (-6)/4 - z/(-24). Factor o*x**2 - x**4 - 4 + 4 + x**2.
-x**2*(x - 1)*(x + 1)
Let g(q) = -2*q - 5. Let b be g(0). Let v(x) = -x**2 - 5*x + 3. Let k be v(b). Suppose 40*y**2 - 70*y**4 + 70*y**4 - 5*y**5 + 30*y**k + 15*y = 0. What is y?
-1, 0, 3
Let f(g) be the third derivative of -g**6/144 - g**5/48 + 5*g**4/8 + g**3/2 + 24*g**2. Let j(x) be the first derivative of f(x). Suppose j(b) = 0. What is b?
-3, 2
Let z be (-8 - (5 - 15))*6/27. Factor -z - 1/3*b + 1/9*b**2.
(b - 4)*(b + 1)/9
Suppose 0 = -41*b + 50*b. Let v(x) be the third derivative of 0*x**4 + 1/150*x**5 + 0 + 0*x**3 + x**2 + b*x. Factor v(l).
2*l**2/5
Let x(w) be the third derivative of w**7/1260 + w**6/48 - w**5/360 - 5*w**4/48 + 46*w**2. Suppose x(i) = 0. What is i?
-15, -1, 0, 1
Factor 3/4*a**2 + 423*a + 59643.
3*(a + 282)**2/4
Factor 0 + 19/2*u**2 - 2*u**4 + 3*u - 21/2*u**3.
-u*(u - 1)*(u + 6)*(4*u + 1)/2
Let m(l) be the first derivative of l**4 - 4*l**3/3 - 8*l**2 + 16*l - 471. Factor m(f).
4*(f - 2)*(f - 1)*(f + 2)
Let m(d) be the third derivative of 20*d**2 + 0*d - 1/12*d**4 - 1/90*d**5 + 0 - 2/9*d**3. Let m(x) = 0. What is x?
-2, -1
Suppose g + 6 - 15 = 0. Let m be (-4)/(-3) + 150/g. Factor m*h**2 - 18*h - 4*h**2 + 11 - 8 + 1.
2*(h - 1)*(7*h - 2)
Let s(u) = -3*u + 13. Let j be s(3). Let p(b) be the first derivative of 3 - 1/9*b**3 - 1/6*b**j + 0*b + 0*b**2 - 1/15*b**5. Factor p(c).
-c**2*(c + 1)**2/3
Suppose -118/5*c**3 - 322/5*c**2 + 252/5*c + 144/5 + 2*c**5 + 34/5*c**4 = 0. Calculate c.
-4, -3, -2/5, 1, 3
Suppose 0 = 5*x - 46 + 16. Let b(o) = o**2 - 7*o + 8. Let d be b(x). Solve 2*g + 2*g - 3*g**d - 2*g + g = 0 for g.
0, 1
Let c be (4 - 4) + 2 + 1 - -3. Let l(w) be the first derivative of -1/3*w**3 - c - 4*w - 2*w**2. Factor l(d).
-(d + 2)**2
Let y(w) = -w**3 - 24*w**2 - 25*w - 6. Let q(l) = -3*l**3 - 47*l**2 - 50*l - 13. Let x(o) = 4*q(o) - 7*y(o). Factor x(i).
-5*(i + 1)**2*(i + 2)
Let h(q) = 4*q**2 - q - 1. Let f(y) = 17*y**2 - 44*y - 41. Let l(a) = f(a) - 5*h(a). Let l(b) = 0. What is b?
-12, -1
Let w(n) = 15*n + 3. Let q be w(-2). Let a be (-6)/q + (-100)/(-36). Factor 10*k**3 - 4*k**3 + k**3 - a*k**3.
4*k**3
Let f(l) = -l**3 - 7*l**2 + 11*l + 3. Let i be f(-6). Let g be (-5)/4 + (-4 - i/18). Factor g*x**2 + 1/4 - 1/2*x.
(x - 1)**2/4
Let k be -3*14/(-6)*(-1850)/(-35). Factor -186*n**2 + k*n**2 + n**3 - 180*n**2.
n**2*(n + 4)
Let i be (0 - 0)/(1*(-3 + 4)). Let v(o) be the first derivative of -1/5*o**5 - 3/4*o**4 + 0*o + 1/2*o**6 + 1/3*o**3 + i*o**2 - 3. Determine m so that v(m) = 0.
-1, 0, 1/3, 1
Let h(z) be the third derivative of 0*z**3 + 1/20*z**5 + 0*z + 0*z**4 - 17*z**2 + 3/112*z**8 + 0 + 1/8*z**6 + 1/10*z**7. Determine j so that h(j) = 0.
-1, -1/3, 0
Let s be (-148)/(-1998) - (-64)/594. Let z be 18/(-6) - (-4 - -1). Factor 8/11*u**3 + s*u + z - 10/11*u**2.
2*u*(u - 1)*(4*u - 1)/11
Let q(h) be the first derivative of h**5/30 + h**4/18 - h**3/9 - h**2/3 - 59*h - 3. Let s(d) be the first derivative of q(d). Factor s(o).
2*(o - 1)*(o + 1)**2/3
Let b be 12/10*55/693. Let d(i) be the second derivative of -1/3*i**4 + 0*i**2 + 0 + 1/5*i**5 - b*i**7 + 0*i**3 + 2/15*i**6 - 3*i. Let d(p) = 0. Calculate p.
-1, 0, 1
Suppose 0 = 12*n - 13*n + 11. Suppose -41 = -2*p - 4*d - n, -3*d = -15. Find z, given that -p*z + 17/4*z**2 - z**3 + 1 = 0.
1/4, 2
Let f = -3/508 + 4115/8636. Solve 0*t + 6/17*t**2 - f - 2/17*t**3 = 0 for t.
-1, 2
Let f(m) be the third derivative of m**5/180 - m**4/24 + 32*m**2. Factor f(c).
c*(c - 3)/3
Let s be (-11 - -9) + 0 + 261. Let n = s + -255. Suppose 0*w + 1/8*w**2 - 1/8*w**n + 0*w**3 + 0 = 0. What is w?
-1, 0, 1
Let m(t) = -t**3 - t**2 + t - 1. Let l = 2 - 3. Let y(k) = -4*k**2 - 7*k**3 - 2 - 3 - 21*k - 1 + 26*k. Let x(w) = l*y(w) + 6*m(w). Suppose x(g) = 0. What is g?
0, 1
Let t(p) be the second derivative of -p**6/24 + 5*p**5/12 - 35*p**4/24 + 5*p**3/2 + 14*p**2 + 23*p. Let c(u) be the first derivative of t(u). Factor c(h).
-5*(h - 3)*(h - 1)**2
Let s(z) be the third derivative of -z**5/40 + 7*z**4/16 - 5*z**3/2 + z**2 + 95. Factor s(c).
-3*(c - 5)*(c - 2)/2
Factor -3/7*n**2 - 60/7 + 27/7*n.
-3*(n - 5)*(n - 4)/7
Let u be (-2)/(-8) - (-79)/20. Suppose -47*h + 1110 = 969. Determine z, given that 0 + 9/5*z**h + 6/5*z + u*z**2 = 0.
-2, -1/3, 0
Let v(z) = -39*z**2 - 31*z + 8. Let r(i) = 19*i**2 + 15*i - 4. Suppose -7 = 3*b + 8. Let n(d) = b*r(d) - 3*v(d). Factor n(q).
2*(q + 1)*(11*q - 2)
Let r(c) = -c**3 + 3*c**2 + 2. Let s(a) = -5*a**5 - 20*a**4 + 30*a**3 + 80*a**2 - 15*a - 110. Let y(h) = 10*r(h) + s(h). Solve y(t) = 0 for t.
-3, -1, 1, 2
Suppose -3*v = m - v - 40, 2*m - v - 55 = 0. Let g = m + -21. Factor -2*s - s**4 - s**4 + s**2 + 2*s**2 - 6*s**3 - g*s**2.
-2*s*(s + 1)**3
Suppose -51 = -60*y + 43*y. Suppose -4/5*n**y - 4/5 + 4/5*n + 1/5*n**4 + 3/5*n**2 = 0. What is n?
-1, 1, 2
Let n(c) be the second derivative of c**9/3024 - c**8/840 - c**7/840 + c**6/180 - 9*c**3/2 - 29*c. Let i(m) be the second derivative of n(m). Factor i(j).
j**2*(j - 2)*(j - 1)*(j + 1)
Factor -1/3*j**3 + 0 - 8/9*j**2 + 16/9*j.
-j*(j + 4)*(3*j - 4)/9
Let f(y) be the second derivative of -3*y**5/20 + 2*y**3 - 181*y. Factor f(s).
-3*s*(s - 2)*(s + 2)
Let f(n) be the third derivative of 1/35*n**7 + 0*n + 3/560*n**8 + n**2 + 0*n**3 - 1/25*n**5 + 0 + 7/200*n**6 - 1/10*n**4. Let f(v) = 0. Calculate v.
-2, -1, 0, 2/3
Find l, given that 24*l**3 + 100*l**2 + 44*l - 4*l**5 - 156*l**2 + 2*l**4 - 12 + 2*l**4 = 0.
-3, 1
Let i(p) = 15*p**3 + 217*p**2 - 72*p + 3. Let j(u) = 195*u**3 + 2820*u**2 - 935*u + 40. Let g(d) = 40*i(d) - 3*j(d). Factor g(h).
5*h*(h + 15)*(3*h - 1)
Factor 94/7*u**2 + 2/7*u**3 - 94/7 - 2/7*u.
2*(u - 1)*(u + 1)*(u + 47)/7
Let k(x) be the third derivative of x**5/120 - x**4/2 + 12*x**3 + 34*x**2. Factor k(j).
(j - 12)**2/2
Factor 6/13*i + 2/13*i**2 + 4/13.
2*(i + 1)*(i + 2)/13
Let a(m) be the second derivative of m**6/30 + m**5/20 + m**2/2 - 29*m. Let t(w) = -31*w**4 - 41*w**3 - 10*w**2 + 4. Let p(y) = -4*a(y) + t(y). Factor p(f).
-5*f**2*(f + 1)*(7*f + 2)
Factor 0 - 2/3*c**4 - 4/3*c**2 + 2*c**3 + 0*c.
-2*c**2*(c - 2)*(c - 1)/3
Let f(j) be the first derivative of -j**7/7140 + j**6/3060 + j**5/510 - j**3 + 16. Let q(d) be the third derivative of f(d). Factor q(w).
-2*w*(w - 2)*(w + 1)/17
Let g be -1 + (-1 - 0) + 2*1. Factor 8 - 2*c + 8 - 15 + g*c + c**2.
(c - 1)**2
Let z(k) be the second derivative of k**8/8400 - k**7/2100 + k**5/300 - 13*k**4/12 + k**3/6 - 10*k - 4. Let u(a) be the third derivative of z(a). Factor u(d).
2*(d - 1)**2*(2*d + 1)/5
Let p(z) be the third derivative of z**7/630 - z**6/60 + 13*z**5/180 - z**4/6 + 2*z**3/9 - 17*z**2. Factor p(f).
(f - 2)**2*(f - 1)**2/3
Let