uppose -2 - 7 = -3*o. Let b = -2 - -2. Factor b*f**3 - o*f - 5*f**5 + 4*f**3 + f + 3*f**5.
-2*f*(f - 1)**2*(f + 1)**2
Let a(u) = -u**2 - 4*u + 3. Let i be a(-4). Factor 0*j - 4*j + 2*j**2 + 29*j**4 + 30*j**i + 14*j**5 + 9*j**4.
2*j*(j + 1)**3*(7*j - 2)
Let l(b) be the first derivative of 2*b**5/5 - 13*b**4/14 + 10*b**3/21 + b**2/7 - 4. Solve l(i) = 0.
-1/7, 0, 1
Let t be (2/4)/(15/30). Let i be (-1)/(-2) + t/(-4). Factor 0 + i*v**3 - 1/4*v**2 + 0*v.
v**2*(v - 1)/4
Let q(v) be the first derivative of -v**8/840 + v**7/420 + v**6/60 - v**5/60 - v**4/6 + 5*v**3/3 - 2. Let u(x) be the third derivative of q(x). Factor u(j).
-2*(j - 2)*(j - 1)*(j + 1)**2
Let q(h) = -h**4 - h**3 - h - 1. Let j(m) = -7*m**3 + 12*m**2 - 9*m - 1. Let u(w) = 4*j(w) - 4*q(w). Let u(b) = 0. What is b?
0, 2
Let d(n) = -n + 8. Let o be d(3). Factor -q**2 + 3*q - 2*q**2 + q + o*q**2.
2*q*(q + 2)
Let h = 37 + -109/3. Determine d, given that 0*d**2 + 0*d + h*d**5 + 0 + 0*d**3 + 2/3*d**4 = 0.
-1, 0
Let t(f) be the second derivative of -f**6/480 + f**5/160 + f**3/3 + 2*f. Let g(a) be the second derivative of t(a). Factor g(v).
-3*v*(v - 1)/4
Let q(p) be the second derivative of 0*p**3 - 1/75*p**6 + 0*p**2 - 1/30*p**4 + 3*p + 1/25*p**5 + 0. Factor q(y).
-2*y**2*(y - 1)**2/5
Let l(q) be the third derivative of q**5/60 - 2*q**3/3 + 13*q**2. Determine t, given that l(t) = 0.
-2, 2
Let r(l) be the third derivative of l**6/144 - l**5/24 + 5*l**4/72 - 7*l**2. Factor r(b).
5*b*(b - 2)*(b - 1)/6
Suppose 5*m + 4*i - 62 = 0, 2*i + 4 = -0*i. Let s be (-4)/m + 96/42. Factor 0*k**s + 0*k**4 + 0 + 0*k + 2/5*k**5 - 2/5*k**3.
2*k**3*(k - 1)*(k + 1)/5
Let s(h) = -2*h**3 - 24*h**2 - 16*h - 6. Let q(t) = t**3 - t**2 + t - 1. Let o(m) = 3*q(m) - s(m). Factor o(y).
(y + 1)*(y + 3)*(5*y + 1)
Factor -2*m**5 - 4*m - 17/2*m**4 - 11*m**2 - 14*m**3 - 1/2.
-(m + 1)**4*(4*m + 1)/2
Let n(j) be the first derivative of -3/5*j + 0*j**2 - 4 + 1/5*j**3. Factor n(g).
3*(g - 1)*(g + 1)/5
Let a = 7 + -4. Suppose -4*v + d + 10 = 0, 0 = -a*v + d - 0 + 7. Factor -4*q**4 + 4*q**3 - 2 - v*q + 3*q**2 + 7*q**4 + 3*q**3.
(q + 1)**3*(3*q - 2)
Let o(a) be the third derivative of -a**8/112 + a**6/20 - a**4/8 + a**2. Find s, given that o(s) = 0.
-1, 0, 1
Let k(q) be the third derivative of -q**7/1785 + 2*q**5/255 + 5*q**2. Factor k(s).
-2*s**2*(s - 2)*(s + 2)/17
Let p(g) = -g**2 - 8*g - 5. Let u = -3 + -4. Let r be p(u). Factor a**3 - a**5 - r*a**4 - a**3 - a**5.
-2*a**4*(a + 1)
Let w(d) be the first derivative of -2*d**3/27 + 2*d/9 + 8. Determine y, given that w(y) = 0.
-1, 1
Let t(a) = -11*a**4 + 5*a**3 - 19*a**2 - 3*a. Let r(u) = -6*u**4 + 2*u**3 - 10*u**2 - 2*u. Let n(m) = 7*r(m) - 4*t(m). Factor n(y).
2*y*(y - 1)**3
Let i(x) be the first derivative of -2/3*x**3 + 1 + 0*x + 2/5*x**5 + 0*x**4 + 0*x**2. Factor i(r).
2*r**2*(r - 1)*(r + 1)
Let y(n) be the third derivative of -n**8/672 + 19*n**7/420 - 23*n**6/48 + 241*n**5/120 - 13*n**4/3 + 16*n**3/3 + 34*n**2. Factor y(v).
-(v - 8)**2*(v - 1)**3/2
Let l = 73547/39 + -1887. Let u = l + 24/13. Suppose 0*h**2 + 2/3*h**3 + u*h**5 + 4/3*h**4 + 0*h + 0 = 0. What is h?
-1, 0
Suppose 3*t - 6 = -0*t. Let d(s) be the first derivative of 0*s**2 - 1/5*s**4 - t + 0*s - 2/15*s**3 - 2/25*s**5. Solve d(o) = 0 for o.
-1, 0
Let p(a) be the first derivative of a**9/1512 - a**7/210 + a**5/60 - 2*a**3/3 - 1. Let i(n) be the third derivative of p(n). Solve i(h) = 0 for h.
-1, 0, 1
Let k(b) = b**3 - 10*b**2 - 3*b - 16. Let l be k(11). Let p be ((-21)/(-20))/(27/l). Factor 18/5*s**2 - p*s - 4/5.
2*(s - 1)*(9*s + 2)/5
Let i(n) be the second derivative of n**5/40 - n**4/8 + n**3/4 - n**2/4 + n + 9. Factor i(o).
(o - 1)**3/2
Suppose -37*m - 1 = -1. Let m - 4/7*y**3 - 16/7*y - 16/7*y**2 = 0. Calculate y.
-2, 0
Let u(i) be the third derivative of -i**8/12 + 74*i**7/105 - 31*i**6/30 - 29*i**5/15 + 19*i**4/3 - 16*i**3/3 + 25*i**2. Find h, given that u(h) = 0.
-1, 2/7, 1, 4
Let g = -13 + 17. Let n(y) be the first derivative of -16/3*y**3 + 4/5*y**5 - 1 - 7*y**2 + 1/3*y**6 - g*y - y**4. Determine c so that n(c) = 0.
-1, 2
Suppose c - 4 = -c. Let h = 4 - c. Factor 2*q**3 + 16 + 0*q**2 + 14*q**h + 24*q - 2*q**2.
2*(q + 2)**3
Let d(w) = -w**3 + 11*w**2 - 22*w - 14. Let s be d(8). Factor 0 - 4/3*m**s - 49/3*m**4 + 28/3*m**3 + 0*m.
-m**2*(7*m - 2)**2/3
Let k be (54/45)/(4/10). Let i(w) be the third derivative of 1/60*w**4 + 0*w + 0 - 1/150*w**5 + 0*w**k - w**2. Suppose i(y) = 0. Calculate y.
0, 1
Let x be 3*1/27*-1. Let k = x + 23/45. Factor 0*m + 4/5*m**3 + 0 + 2/5*m**4 + k*m**2.
2*m**2*(m + 1)**2/5
Suppose 5*g - 55 = -15. Let p = 11 - g. Factor 0 + 0*l - 1/3*l**4 + 2/3*l**p - 1/3*l**2.
-l**2*(l - 1)**2/3
Suppose -142 + 93 - 30*l**3 + 32*l**2 - 131 + 120*l - 7*l**2 + 5*l**4 = 0. What is l?
-2, 2, 3
Let t(w) be the first derivative of w**4/26 - 2*w**3/39 - 2*w**2/13 + 2. Factor t(r).
2*r*(r - 2)*(r + 1)/13
Let t(a) be the second derivative of -1/130*a**5 + 4*a - 1/26*a**4 + 0 + 0*a**2 + 0*a**3. Find o, given that t(o) = 0.
-3, 0
Let i(k) be the second derivative of 0*k**2 + 9*k + 2/3*k**4 - 2*k**3 + 0 + 1/5*k**5. Solve i(l) = 0.
-3, 0, 1
Let y(l) = -5*l - 41. Let d be y(-9). Let m(g) be the second derivative of -1/10*g**5 + 0*g**2 - 1/3*g**d + 0 - 1/3*g**3 - 2*g. Factor m(v).
-2*v*(v + 1)**2
Let p(c) be the second derivative of 0 + 2*c - 1/30*c**3 + 1/5*c**2 - 1/60*c**4. Determine z so that p(z) = 0.
-2, 1
Suppose 4*j - 32 + 12 = 0. Find m, given that -4*m**4 + 2*m**5 - 2*m**3 + 0*m**4 + 4*m**2 + j*m**2 - 5*m**2 = 0.
-1, 0, 1, 2
Let b(i) be the first derivative of i**6/57 + 6*i**5/95 + i**4/38 - 2*i**3/19 - 2*i**2/19 + 6. Solve b(m) = 0.
-2, -1, 0, 1
Let h = 7 + -4. Let 3*n**3 + 27*n - 3*n**2 - 25*n - 5*n**h + 3*n**4 = 0. What is n?
-1, 0, 2/3, 1
Find d such that 3/4*d + 0 - 7/4*d**2 = 0.
0, 3/7
Let b(p) be the second derivative of 4*p**4/3 - 2*p**3/3 + 15*p. Factor b(q).
4*q*(4*q - 1)
Suppose 0 = -2*y + n - 30, 0 = -y + 5*n - 2*n - 15. Let a = y + 15. Factor 2/3*o**2 + 2/3*o**3 - 2/3*o**4 - 2/3*o + a.
-2*o*(o - 1)**2*(o + 1)/3
Let f(t) = t**2 + 5*t - 11. Let i(j) = -6*j + 10. Let z(x) = -2*f(x) - 3*i(x). Suppose z(d) = 0. What is d?
2
Let a(m) be the second derivative of 0 + 1/60*m**5 - 2*m + 3/2*m**2 - 1/12*m**3 - 7/96*m**4. Let c(f) be the first derivative of a(f). Factor c(g).
(g - 2)*(4*g + 1)/4
Suppose 4*s = 4*j, s = -4*j + 11 + 4. Suppose 5 - 3 = m. Factor r**2 + r**s - r**m.
r**3
Find l, given that 12*l + 22*l**3 - 27*l**5 - 43*l**3 - 90*l**3 - 24*l**2 - 33*l**4 - 69*l**4 = 0.
-2, -1, 0, 2/9
Let w = 29920/27 + -1108. Let h(t) be the first derivative of -w*t**3 - 1/18*t**4 + 2 + 0*t - 1/9*t**2. Find g such that h(g) = 0.
-1, 0
Let u(s) be the first derivative of -s**3 - 15*s**2 - 27*s - 7. Let u(l) = 0. What is l?
-9, -1
What is f in -4*f**3 + 4 - 4 - 177*f**4 + 179*f**4 = 0?
0, 2
Suppose 3 = -3*z, -z - 2*z = -4*b + 83. Suppose y = -4*a + 20, 2*y + 3*a - b = -a. Suppose -2/5*w - 2/5*w**3 + 4/5*w**2 + y = 0. What is w?
0, 1
Let o(w) = -w - 2. Let d be o(-8). Let v be 3 - (39/d + -4). Factor -1/2*t**2 + 0 - v*t.
-t*(t + 1)/2
Let s(p) = 4*p**2 + p. Let a(t) = -9*t**2 - 3*t. Let n be (-2)/(-2)*13 - -1. Let i(y) = n*s(y) + 6*a(y). Factor i(g).
2*g*(g - 2)
Let t(d) be the third derivative of d**6/420 + d**5/105 + d**4/84 + 5*d**2. What is n in t(n) = 0?
-1, 0
Let w = -28 + 28. Solve w + 0*p - 2/11*p**2 = 0 for p.
0
Suppose -4*x + 12 = -4. Let 3*a**2 - 22*a**3 + a + x*a**4 + 25*a**3 - 3*a**4 = 0. Calculate a.
-1, 0
Let t(l) = -l**2 - l - 1. Let n(w) = 4*w**2 + 2*w + 3. Let u(f) = n(f) + 3*t(f). Factor u(a).
a*(a - 1)
Let a(o) be the third derivative of -2*o**7/105 + o**6/30 + o**5/15 - o**4/6 + 4*o**2. Let a(x) = 0. Calculate x.
-1, 0, 1
Let x = -338/3 - -113. Factor 2/3 + x*z**4 + 5/3*z**3 + 7/3*z + 3*z**2.
(z + 1)**3*(z + 2)/3
Let l(y) = -8*y**4 - 28*y**3 - 32*y**2 - 4*y - 4. Let a(d) = 17*d**4 + 57*d**3 + 63*d**2 + 9*d + 9. Let s(c) = -4*a(c) - 9*l(c). Solve s(f) = 0 for f.
-3, 0
Factor 26*j**3 + 41*j**4 - 49*j**4 - 50*j**2 + 14*j**3.
-2*j**2*(2*j - 5)**2
Let z(l) be the second derivative of -l**7/84 + l**5/20 - l**3/12 + 2*l. Determine m so that z(m) = 0.
-1, 0, 1
Let m(x) be the second derivative of -x**4/16 + 5*x**3/8 + 18*x. Suppose m(y) = 0. Calculate y.
0, 5
Let z = 14 + -2. Suppose -a + 7*a - z = 0. Fi