u*r**6 + 0*r. Factor l(j).
2*j**2*(j - 1)*(5*j + 2)/7
Let w(o) be the first derivative of -7/5*o**5 + 7/3*o**3 - o**2 + 0*o + 1 - 3/4*o**4 + 5/6*o**6. Factor w(h).
h*(h - 1)**2*(h + 1)*(5*h - 2)
Suppose -6*w = -2*w - 8. Let p be 1/w*56/35. Solve 2/5*a**3 + 2*a - 8/5*a**2 - p = 0 for a.
1, 2
Let x be (-142)/(-20) - 4 - 3. Let a(o) be the second derivative of 0*o**3 + x*o**5 + 2*o + 0 + 0*o**2 + 0*o**4 + 1/15*o**6. What is f in a(f) = 0?
-1, 0
Let l(h) be the third derivative of -1/3*h**4 + 0*h + 4*h**2 + 7/60*h**6 + 2/5*h**5 + 0*h**3 + 0. Factor l(q).
2*q*(q + 2)*(7*q - 2)
Let v = 98/69 - 2/23. Let 8/9*r**2 + v*r**3 + 2/9*r**5 + 0 + 2/9*r + 8/9*r**4 = 0. What is r?
-1, 0
Let d(j) be the third derivative of j**6/15 + j**5/10 - j**4/3 - j**3 - 46*j**2. Factor d(l).
2*(l - 1)*(l + 1)*(4*l + 3)
Let b(y) be the second derivative of -y**5/220 + 5*y**4/132 - 2*y**3/33 + 3*y + 4. Factor b(k).
-k*(k - 4)*(k - 1)/11
Let q be -33 - ((-3)/3 + 1). Let b be q/(-36) - 2/8. Suppose 1/3*g**5 + 0 + 0*g**2 + 1/3*g + 0*g**4 - b*g**3 = 0. Calculate g.
-1, 0, 1
Let l(n) be the first derivative of -6/25*n**5 - 2/15*n**6 - 2/5*n + 0*n**2 + 8/15*n**3 + 1/5*n**4 + 5. Suppose l(m) = 0. What is m?
-1, 1/2, 1
Let x be (52/(-10) - -2)/(-14). Let h = x + 116/105. Factor 4/3*a**2 + 2/3*a - h - 2/3*a**3.
-2*(a - 2)*(a - 1)*(a + 1)/3
Let x(k) = -k**3 - 5*k**2 - 5*k - 1. Let n(l) = -10*l**2 - 13*l - 4 + 4*l - 2*l**3 + 3. Let o(w) = 2*n(w) - 5*x(w). Factor o(j).
(j + 1)**2*(j + 3)
Let w be 5/(20/14) + -3. Factor -1/4*z**2 - 1/4 + w*z.
-(z - 1)**2/4
Let s = 195 - 127. Let n = s + -202/3. Factor -n*d**3 + 0*d**2 + 0 + 0*d.
-2*d**3/3
Let a = -42 - -44. Factor -2/3*s + 2/3*s**a - 4/3.
2*(s - 2)*(s + 1)/3
Let -2*l**4 + 0*l**2 + 2*l**3 - 4*l**3 + l - 3*l**2 + 1 - 3*l**3 = 0. Calculate l.
-1, 1/2
Let j(p) = p**2 - 4*p. Suppose k - 2*i + 1 + 12 = 0, -4*k - 45 = -i. Let u(n) = -1 - 3*n**2 + 1 + 14*n - 3*n. Let m(c) = k*j(c) - 4*u(c). Factor m(r).
r**2
Let y(m) be the first derivative of 3 + 0*m + 1/6*m**4 + 0*m**5 + 0*m**2 - 1/27*m**6 + 4/27*m**3. Factor y(g).
-2*g**2*(g - 2)*(g + 1)**2/9
Let k(z) = -21*z**2 - 117*z - 87. Let c(o) = 5*o**2 + 29*o + 22. Let t(y) = 9*c(y) + 2*k(y). Factor t(g).
3*(g + 1)*(g + 8)
Let m = -259/2 + 130. Factor -1/4*j**4 + 0 + 0*j**3 + 3/4*j**2 + m*j.
-j*(j - 2)*(j + 1)**2/4
Let f(i) = -2*i**4 + i**3 + 5*i**2 - 7*i. Let z(u) = -3*u**4 + 3*u**3 + 9*u**2 - 13*u - 1. Let p(b) = -5*f(b) + 3*z(b). Factor p(q).
(q - 1)*(q + 1)**2*(q + 3)
Let a = -3/137 + 295/959. Factor 2/7*q**5 - 2/7*q**4 + 0*q - 2/7*q**3 + 0 + a*q**2.
2*q**2*(q - 1)**2*(q + 1)/7
Suppose -3*s + 2*r + 75 = 3*r, -2*s + 5*r + 33 = 0. Suppose -12 = -3*m, l = -3*m - 2*m + s. Let -w**l + w**2 - 1/2*w + 0*w**3 + 1/2*w**5 + 0 = 0. What is w?
-1, 0, 1
Suppose -6*v = 50 - 170. Let z be 4/v - (-14)/30. Solve 10/3*r + z + 14/3*r**3 + 4/3*r**4 + 6*r**2 = 0 for r.
-1, -1/2
Suppose -6*u - 6 + 9/2*u**2 + 6*u**3 + 3/2*u**4 = 0. What is u?
-2, -1, 1
Suppose -4*k + 9 = 1. Factor 0*m + 2/7 - 2/7*m**k.
-2*(m - 1)*(m + 1)/7
Suppose 3*j + 3780 = -3*a - a, 0 = 5*a + 5*j + 4725. Let l be (-555)/a - 1/7. Factor -2/9 + l*i - 2/9*i**2.
-2*(i - 1)**2/9
Let p be (-56)/16 + (-1 - -6). Factor -p*r**2 + 9/4*r**3 - 3/4*r**4 + 0 + 0*r.
-3*r**2*(r - 2)*(r - 1)/4
Let w = 6 - 2. Suppose 1 - w = -z. Solve 8*u + 3*u**z - u**4 - 5*u**3 + 1 - 6*u = 0.
-1, 1
Suppose 0 = -3*m + 2*u + 21, -2*m + 6*u = 10*u + 2. Factor 0 + 1/4*k**m + 0*k**3 + 1/2*k**4 - 1/4*k - 1/2*k**2.
k*(k - 1)*(k + 1)**3/4
Let f(k) = -6*k**2 + 5*k**2 - 4*k + 9 + 0 - 2. Let h be f(-5). Let 0 - 1/2*w**3 - w**h + 0*w = 0. What is w?
-2, 0
Let w(u) = -14*u**3 - 28*u**2 - 24*u - 6. Let g(b) = b**4 - 43*b**3 - 85*b**2 - 72*b - 17. Let l(x) = -2*g(x) + 7*w(x). Factor l(o).
-2*(o + 1)**2*(o + 2)**2
Let n(t) = t**3 - 3*t**2 + t + 2. Let k be n(3). Suppose -k = -p + x - 2*x, -14 = -4*p + 2*x. Factor 3*z**5 - 2*z**2 + z**3 + 3*z**2 - z**4 - p*z**5.
-z**2*(z - 1)*(z + 1)**2
Let c(b) be the third derivative of b**5/330 - b**4/44 - 7*b**2. What is l in c(l) = 0?
0, 3
Let t(v) = 3 + 0 + v**2 - 2. Let x(c) = 2*c**3 - 8*c**2 - 2*c - 12. Let i(o) = 10*t(o) + x(o). Let i(f) = 0. Calculate f.
-1, 1
Suppose 5*z + 2*b = 20, 0*z = 3*z + 3*b - 3. Suppose z*g = 2*g. Let g - 1/5*r + 2/5*r**4 + 0*r**3 + 1/5*r**5 - 2/5*r**2 = 0. What is r?
-1, 0, 1
Factor 0*s + 0 - 2/13*s**3 - 4/13*s**2.
-2*s**2*(s + 2)/13
Let f be (2 - 3) + 455/450. Let u(c) be the second derivative of -f*c**5 - 1/54*c**4 + 1/9*c**2 - 2*c + 1/27*c**3 + 0. Factor u(a).
-2*(a - 1)*(a + 1)**2/9
Factor 1/2*y**2 + 0*y - 1/2*y**4 + 0 + 0*y**3.
-y**2*(y - 1)*(y + 1)/2
Suppose -1 = -2*v - 3*x, 2*v - 3*x + 9 = -8. Let h be (-4)/(-3)*(-2)/v. Factor -h - 1/3*a**2 + a.
-(a - 2)*(a - 1)/3
Factor 0 + 0*p**3 + 0*p + 0*p**2 + 4/5*p**4 + 2/5*p**5.
2*p**4*(p + 2)/5
Let s(v) = v + 8. Let d be s(-6). Let a(p) be the first derivative of -1/15*p**3 + d + 1/5*p + 0*p**2. Determine w, given that a(w) = 0.
-1, 1
Let r(q) be the first derivative of -q**5/5 - 3*q**4/4 + 7*q**3/3 + 15*q**2/2 - 18*q + 47. What is p in r(p) = 0?
-3, 1, 2
Let a be 27/60 - 3/15. Let v(q) be the first derivative of -2 + q + q**3 + 3/2*q**2 + a*q**4. Find k such that v(k) = 0.
-1
Let s(y) be the second derivative of -y**7/315 - y**6/180 + 3*y**2/2 + 2*y. Let i(n) be the first derivative of s(n). Factor i(o).
-2*o**3*(o + 1)/3
Let o(y) = y**2 + 6*y + 4. Let b be o(-6). Suppose 2*t - 8 = -0*t, -2*t = 2*d - 8. Factor 0*f**3 - 2/7*f**2 + 2/7*f**b + d + 0*f.
2*f**2*(f - 1)*(f + 1)/7
Let p be (-310)/(-18) - (-4)/(-18). Factor -18*w + 10*w**2 + 31*w - p*w.
2*w*(5*w - 2)
Let b(t) be the first derivative of 1/15*t**5 + 0*t**3 - 2 + 1/6*t**4 + 0*t + 0*t**2. Factor b(o).
o**3*(o + 2)/3
Let d = 106/21 - 5. Let g(b) be the first derivative of -1/7*b**4 + 1/7*b**2 + 0*b**5 + 0*b**3 - 1 + d*b**6 + 0*b. Let g(h) = 0. What is h?
-1, 0, 1
Let d(k) = 18*k. Let f be d(-1). Let o = -13 - f. Suppose -n - o*n**2 - 3*n**3 - 3*n**4 - 2*n**3 - 2*n**3 = 0. Calculate n.
-1, -1/3, 0
Let w(j) = -9*j**3 + 11*j**2 - 25*j - 23. Let v(n) = -5*n**3 + 6*n**2 - 13*n - 12. Let c(m) = 11*v(m) - 6*w(m). What is u in c(u) = 0?
-2, -1, 3
Let l be ((-30)/26 + 12/78)*-2. Factor 0*r - r**4 + 0*r**l + 0 + 2/3*r**3 + 1/3*r**5.
r**3*(r - 2)*(r - 1)/3
Let i(g) = g - 2. Let r be i(4). Let q = r - 0. Find d, given that -4*d + 0*d**2 - 2*d + q*d - 2*d**2 - 2 = 0.
-1
Let d(c) be the first derivative of c**5/5 - 3*c**4/4 + 16. Factor d(h).
h**3*(h - 3)
Suppose 0 = -4*w + 6 + 2. Let u = 5 + -3. Factor -2*f**4 - f**3 + 16*f - 9*f**3 + 5*f**2 + w*f**5 + 8 - 3*f**u.
2*(f - 2)**2*(f + 1)**3
Let d(z) be the second derivative of z**8/1680 - z**7/210 + z**6/90 + 2*z**3/3 + z. Let u(q) be the second derivative of d(q). Factor u(r).
r**2*(r - 2)**2
Let v be (-6)/27 + (-52)/9. Let t be (5 - -1)/(-2) - v. Let 2/5*j**t - 2*j**2 - 8/5 + 16/5*j = 0. What is j?
1, 2
Let a(q) = 3*q**2 - 5 - q**2 + 4*q - 4*q**2. Let j(u) = 3*u**2 - 5*u + 4. Let l be 4 + -6 + (1 - -4). Let p(w) = l*j(w) + 2*a(w). Find v such that p(v) = 0.
2/5, 1
Factor 0 + 0*x**3 + 2/11*x**5 + 0*x**2 + 10/11*x**4 + 0*x.
2*x**4*(x + 5)/11
Let u(m) be the first derivative of -m**3 - 2 - 5 - 3*m**4 + 4. Factor u(k).
-3*k**2*(4*k + 1)
Suppose -88*p + 85*p = -9. Determine t, given that 4/9*t**p + 2/9*t**4 + 0 + 2/9*t**2 + 0*t = 0.
-1, 0
Let c(q) be the second derivative of -q**9/7560 + q**8/3360 + q**7/630 + q**4/2 - 5*q. Let y(i) be the third derivative of c(i). Factor y(h).
-2*h**2*(h - 2)*(h + 1)
Let l be -1 + (1 - 0) + 4. Suppose -2*r = -0*r - l. Find k such that 0*k - 1/2*k**3 + 1/4*k**r + 0 - 1/4*k**4 + 1/2*k**5 = 0.
-1, 0, 1/2, 1
Determine h so that -1/4 + 1/4*h**2 + 0*h = 0.
-1, 1
Let b(o) be the third derivative of o**5/60 - o**4/12 + 38*o**2. Factor b(r).
r*(r - 2)
Let -8/17 - 8/17*r + 6/17*r**2 + 4/17*r**3 - 2/17*r**4 = 0. Calculate r.
-1, 2
Suppose -3*t + 15 = -0*t. Suppose t*p - 8 - 2 = 0. Factor -2/3*c**3 + 1/3*c - 2/3*c**p + 1/3 + 1/3*c**4 + 1/3*c**5.
(c - 1)**2*(c + 1)**3/3
Let g(p) = 6*p**2 + 33*p + 9. Let r(v) = 3*v**2 + 17*v + 5. Let s(z) = 5*g(z) - 9*r(z). Let s(h) = 0. Calculate h.
-4, 0
Suppose 4*u - 11 = y, -3*u - 2*u + 3*y = -5. Let i(p) be the first derivative of 8*p**3 - 2 + 4*p + 9*p**2 + 5/2*p**u. Factor i(z).
2*(z + 1)**2*(5*z + 2)
Let f(g) be the first deriv