Factor z(p).
-2*(p + 1)*(p + 84)**2/7
Let a(c) be the third derivative of 1/10*c**4 + 1/350*c**7 + 0*c + 2/25*c**5 + 1/40*c**6 + 7*c**2 + 0*c**3 + 0. Factor a(p).
3*p*(p + 1)*(p + 2)**2/5
Let n(d) be the third derivative of d**5/100 + d**4/10 - 16*d**3/5 - d**2 - 25. Let n(p) = 0. Calculate p.
-8, 4
Factor 300*g**2 - 5*g**3 - 9*g**3 + 40000 + 9*g**3 + 25*g - 6025*g.
-5*(g - 20)**3
Let m(h) be the first derivative of -7*h**4/20 - 16*h**3/15 - 2*h**2/5 + 134. Factor m(y).
-y*(y + 2)*(7*y + 2)/5
Let v(q) be the third derivative of 28*q**2 - 1/300*q**5 - 1/120*q**4 + 0 + 1/600*q**6 + 1/30*q**3 + 0*q. Factor v(m).
(m - 1)**2*(m + 1)/5
Let o(l) be the second derivative of 2/39*l**3 - 7*l + 0 + 0*l**2 - 1/78*l**4. Factor o(j).
-2*j*(j - 2)/13
Let q be ((-2)/6)/(11/132). Let f = q + 4. Factor 2/7*s**4 + 2/7*s**3 + f - 2/7*s**2 - 2/7*s.
2*s*(s - 1)*(s + 1)**2/7
Factor 6/11*x**2 - 588/11*x + 14406/11.
6*(x - 49)**2/11
Suppose 0 = -r + 3*b + 5, -5*b - 8 + 3 = 0. Suppose r*u = 5*u - 66. Let -4*g**2 + 20*g**5 - u*g**3 - 3*g**4 + g**2 + 2*g + 6*g**4 = 0. What is g?
-1, -2/5, 0, 1/4, 1
Let y = -44/23 - -503/299. Let c = -2/65 - y. Factor 2/5 - c*z - 1/5*z**2.
-(z - 1)*(z + 2)/5
Let h(x) = 3*x**2 + 29*x + 5. Let a(c) = 6*c**2 + c**2 - 9*c - 5*c - 2 - 9*c**2. Let j(v) = -5*a(v) - 2*h(v). Factor j(k).
4*k*(k + 3)
Suppose 3 = t - 4*u, 5*t - 5*u - 3 = 12. Let z be (1 + t)*1 + -13 + 9. Determine x, given that -1/2*x + z + 1/4*x**2 = 0.
0, 2
Let i be 1 + (-5)/6 + 125/(-840). Let s = 115/168 - i. Let -4/3*f**2 + s*f**4 - 2/3*f**5 + 2/3 - 2/3*f + 4/3*f**3 = 0. Calculate f.
-1, 1
Let k(q) = 5*q**3 - 5*q**2 - 5*q + 5. Let j = 19 - 17. Let y(i) = -10*i**3 + 10*i**2 + 10*i - 10. Let z(b) = j*y(b) + 5*k(b). Factor z(p).
5*(p - 1)**2*(p + 1)
Let k(p) = p**2 + 4*p + 2. Let j be k(-4). Solve 7*f + 0*f**2 + 24 - 11*f - 4*f**j - 16*f = 0 for f.
-6, 1
Let l be 276/368*(1 - -3). Find f such that -f - 2*f**2 - 1/5 - f**4 - 1/5*f**5 - 2*f**l = 0.
-1
Let y(k) be the third derivative of -k**6/720 - k**5/120 + k**4/36 + k**3/3 + 2*k**2 - 15. Determine q so that y(q) = 0.
-3, -2, 2
Determine f so that -1692*f**4 - 20*f**3 + 20*f - 1682*f**4 + 3379*f**4 - 165*f**2 + 160 = 0.
-4, -1, 1, 8
Suppose -2*a + 196 = -2*n, -4*a = -9*a - n + 460. Let v = -93 + a. Factor 2/3*c**2 + 0 + v*c + 4/3*c**3 + 2/3*c**4.
2*c**2*(c + 1)**2/3
Factor -11/3*h**2 - 121/6*h - 1/6*h**3 + 0.
-h*(h + 11)**2/6
Let a(j) be the first derivative of -j**6/120 + j**5/36 + j**4/18 - 2*j**3/9 - 9*j**2 - 23. Let n(d) be the second derivative of a(d). Factor n(g).
-(g - 2)*(g + 1)*(3*g - 2)/3
Let n(b) be the first derivative of b**3 - 21*b**2/2 + 18*b - 66. Factor n(u).
3*(u - 6)*(u - 1)
Let z(d) be the second derivative of -1/4*d**4 - 9/20*d**5 + d**3 + 0*d**2 + 15*d + 1/14*d**7 + 0 + 1/10*d**6. Factor z(g).
3*g*(g - 1)**2*(g + 1)*(g + 2)
Let l(k) be the second derivative of 5*k**4/12 + 200*k**3/3 - 410*k**2 + k - 26. Factor l(m).
5*(m - 2)*(m + 82)
Let i(c) = c**5 + c**3 - 1. Suppose x = 2*x. Suppose o - 4 + 3 = x. Let k(y) = 22*y**4 + 24*y**3 + 18*y**2 + 4*y + 6. Let s(v) = o*k(v) + 6*i(v). Factor s(z).
2*z*(z + 1)**3*(3*z + 2)
Let l = -39 - 0. Let u be 280/546 + -2 + (-84)/l. What is g in -u - 1/3*g**2 - g = 0?
-2, -1
Solve 12*n - 4/17*n**3 - 112/17 + 42/17*n**2 = 0 for n.
-4, 1/2, 14
Let v(p) = p**3 + 4*p**2 - 4*p + 8. Let i be v(-5). Let y(n) be the third derivative of 0*n - 5/108*n**4 + 2/135*n**5 + 1/27*n**i + 0 - n**2. Factor y(d).
2*(d - 1)*(4*d - 1)/9
Let k = -450340/13 - -34642. Let d be 2 - 0 - (-3 - -2). Find w such that 0*w**d + 2/13*w**4 - 4/13*w - k*w**2 + 0 = 0.
-1, 0, 2
Let v(b) = 38*b**3 - 844*b**2 + 48746*b - 925965. Let n(x) = 7*x**3 - 169*x**2 + 9749*x - 185193. Let r(a) = 33*n(a) - 6*v(a). Factor r(l).
3*(l - 57)**3
Let z(a) be the third derivative of a**7/945 - a**6/135 - a**5/45 + a**4/27 + 5*a**3/27 - 49*a**2. Find s such that z(s) = 0.
-1, 1, 5
Suppose -3*k - 5*c - 17 = k, 5*k + 2*c = 0. Factor 0 + 1/6*v**k + 1/3*v.
v*(v + 2)/6
Let z be (-10)/8*(138/720)/(-23). Let r(p) be the third derivative of 0*p**3 - 1/480*p**6 + 0*p + z*p**4 + 0 + 5*p**2 + 0*p**5. Factor r(f).
-f*(f - 1)*(f + 1)/4
Let v(q) be the third derivative of q**6/40 + 13*q**5/20 + 6*q**4 + 18*q**3 + 2*q**2 + 57. Suppose v(b) = 0. What is b?
-6, -1
Let m = -31822 - -31825. Suppose 0*y**2 + 30/11*y**5 + 8/11*y**m - 32/11*y**4 + 0 + 0*y = 0. Calculate y.
0, 2/5, 2/3
Let j(t) be the first derivative of t**9/9072 - t**8/1260 + t**7/420 - t**6/270 + t**5/360 + 5*t**3 + 13. Let q(y) be the third derivative of j(y). Factor q(v).
v*(v - 1)**4/3
Let r be 1*-6 + 2 + -2. Let a be 4/(-6)*1/(8/r). Factor 1/4*n**3 + 0*n + a*n**2 + 0.
n**2*(n + 2)/4
Let z be ((-21)/12)/(3/(-12)). What is v in -3*v**4 + v**5 - 4*v - z*v**3 + 2*v**5 + 3*v**2 - 14*v**3 + 22*v = 0?
-2, -1, 0, 1, 3
Let z be (112/448)/(-1 + (-157)/(-136)). Let v(i) be the first derivative of 4 + 0*i - 2/7*i**2 - z*i**3 - 26/35*i**5 - 2*i**4. Factor v(o).
-2*o*(o + 1)**2*(13*o + 2)/7
Let u(z) be the first derivative of 0*z**2 + z**3 + 0*z**5 + 0*z + 1/1800*z**6 - 1/120*z**4 - 4. Let s(n) be the third derivative of u(n). Factor s(t).
(t - 1)*(t + 1)/5
Let v(g) be the second derivative of -g**7/30 + g**6/45 - 2*g**3/3 - 6*g. Let c(s) be the second derivative of v(s). Let c(j) = 0. Calculate j.
0, 2/7
Solve 186*c**3 + 2187 - 891*c**2 - 16*c**4 + 1/2*c**5 + 2187/2*c = 0.
-1, 6, 9
Let u(w) = -2*w - 16. Let s be u(-14). Factor -14*h**3 - 8*h + s*h**3 - 4*h**3 + 24*h**2 - 10*h**4.
-2*h*(h - 1)*(h + 2)*(5*h - 2)
Let u(k) be the second derivative of k**5/20 + k**4/6 - 11*k**3/6 - 6*k**2 - 138*k. Find o such that u(o) = 0.
-4, -1, 3
Let h(j) be the first derivative of 28/39*j**3 - 16/13*j + 14 - 2/39*j**6 + 11/26*j**4 - 12/13*j**2 - 6/65*j**5. Let h(x) = 0. What is x?
-2, -1/2, 1, 2
Let w(t) = t**2 - t + 1. Let j be 3/(15/80) + 4. Let q(k) = -5*k + j + 4*k + 4*k - 18*k. Let x(g) = q(g) - 5*w(g). Find z, given that x(z) = 0.
-3, 1
Let i(n) be the first derivative of -2*n**3/3 - 14*n**2 - 16. Factor i(o).
-2*o*(o + 14)
Let r(k) = 6*k**2 + k - 1. Let j(w) = -w**3 + 2*w**2 + 26*w - 2. Let u(q) = 5*j(q) - 10*r(q). Determine h, given that u(h) = 0.
-12, 0, 2
Let s(h) = h**3 - 11*h**2 + 10*h + 3. Let q be ((-30)/25)/(3/(-25)). Let g be s(q). Factor -3*a**2 - 4*a**2 + 0*a**g + 10*a**3 + 2*a**2 - 5*a**4.
-5*a**2*(a - 1)**2
Let h(y) = -y**3 - y + 1. Let w(s) = -2*s**4 + 2*s**3 - 18*s**2 - 2*s - 16. Let n(k) = -12*h(k) - w(k). Solve n(v) = 0 for v.
-2, -1
Let s(u) = -3*u**5 + 3*u**4 + 38*u**3 + 14*u**2 - 46*u + 2. Let m(x) = x**3 + x**2 + x + 1. Let v(q) = 2*m(q) - s(q). Suppose v(j) = 0. What is j?
-2, 0, 1, 4
Factor 0*k + 0 - 3*k**3 + 7/2*k**2 - 1/2*k**4.
-k**2*(k - 1)*(k + 7)/2
Solve 48/7 - 46/7*c - 2/7*c**2 = 0.
-24, 1
Let m be (-13)/39 + 7/20. Let y(o) be the third derivative of 0 - o**2 + 1/15*o**5 - m*o**6 + 0*o - 1/12*o**4 + 0*o**3. Find z such that y(z) = 0.
0, 1
Let c(o) be the first derivative of 5/12*o**2 + 6 + 2/3*o + 1/18*o**3. Let c(p) = 0. Calculate p.
-4, -1
Let m(v) be the second derivative of v**4/18 - 2*v**3/9 - v**2 + 206*v. Factor m(r).
2*(r - 3)*(r + 1)/3
Let l be (-24 - (-2576)/96) + (2 - 18/4). Factor -l*u**5 + 0*u**3 + 2/3*u**2 + 1/3*u - 2/3*u**4 + 0.
-u*(u - 1)*(u + 1)**3/3
Let a(d) be the second derivative of -2*d**6/15 + 4*d**5/5 + d**4/3 - 8*d**3/3 - 159*d - 2. Determine k, given that a(k) = 0.
-1, 0, 1, 4
Find j such that 99*j**5 - 2*j + 4*j**4 + 2*j - 6*j**3 - 98*j**5 - 15*j**3 = 0.
-7, 0, 3
Let z = -42 + -28. Let b = 143/2 + z. Determine y so that 1/2*y**2 - 2*y + b = 0.
1, 3
Suppose 26*w = 21*w + 10. Let z be (-5)/(-15) - (w + 13/(-6)). Let -z + 1/2*f**2 - 3/4*f + 3/4*f**3 = 0. Calculate f.
-1, -2/3, 1
Let c(m) be the first derivative of -m**8/3360 + m**7/420 - m**6/144 + m**5/120 - 8*m**3/3 + 7. Let g(n) be the third derivative of c(n). Factor g(b).
-b*(b - 2)*(b - 1)**2/2
Let f(k) be the second derivative of -k**6/6 + 3*k**5 - 20*k**4 + 160*k**3/3 + 11*k + 3. Determine l, given that f(l) = 0.
0, 4
Let y be (-8)/(-10)*315/1071. Factor y*r**2 - 38/17*r + 18/17.
2*(r - 9)*(2*r - 1)/17
Let h be (-119)/(-35) + 2/(-5). Suppose -2*f = -0*f - 12. Solve -f*t**2 + 2*t**2 - 2*t**4 + t**3 + 6*t**3 - t**h = 0.
0, 1, 2
Let u(h) = -h**3 + 11*h**2 + 14*h + 6. Let n be u(12). Let k be 