tive of -j**7/140 + j**6/40 + 3*j**2. Suppose y(w) = 0. What is w?
0, 2
Let r(p) be the second derivative of -p**7/126 - 7*p**6/90 - 19*p**5/60 - 25*p**4/36 - 8*p**3/9 - 2*p**2/3 + 4*p. Factor r(f).
-(f + 1)**3*(f + 2)**2/3
Let j(q) be the second derivative of -q**9/22680 + q**7/1260 - q**6/540 + q**4/2 + q. Let w(i) be the third derivative of j(i). Factor w(k).
-2*k*(k - 1)**2*(k + 2)/3
Let o(d) = -d. Let v(n) = -5*n**2 - 13*n - 1. Let w(x) = -21*o(x) + 3*v(x). Factor w(t).
-3*(t + 1)*(5*t + 1)
Let i(q) be the second derivative of -q**7/2100 + q**6/300 - q**5/150 + q**3/6 - 3*q. Let v(d) be the second derivative of i(d). Solve v(h) = 0.
0, 1, 2
Let r = 27/10 + -38/15. Let l(s) be the first derivative of -1 + s - 3/4*s**2 + r*s**3. Factor l(t).
(t - 2)*(t - 1)/2
Let k(l) = l**3 + l**2 + l + 12. Let o be k(0). Let d(g) = -12*g - o - 3 - 14*g**2 + 3. Let t(p) = -p**2 - p - 1. Let q(n) = -d(n) + 12*t(n). Factor q(h).
2*h**2
Suppose -4*w = -0*w - 4. Let d(j) = 3*j - 1. Let q be d(w). Factor -5*v - v**2 + 2*v**q + 4*v.
v*(v - 1)
Let o be (-2)/7 - (-16)/7. Suppose 5*h - 4 - 1 = 0. Suppose k**o - 2 + h + 0 = 0. What is k?
-1, 1
Factor 3*d**3 - 15*d**2 - 1 + 71*d - 5 - 6 - 47*d.
3*(d - 2)**2*(d - 1)
Let y = 4 + -2. Let t(f) be the first derivative of 0*f + 0*f**3 + 0*f**y - 1 + 1/27*f**6 - 2/45*f**5 + 0*f**4. Let t(n) = 0. What is n?
0, 1
Let m = 14 + -11. Let l(y) be the first derivative of y**2 + 2/3*y**m - 1/2*y**4 + 2 - 2*y. Factor l(o).
-2*(o - 1)**2*(o + 1)
Let c(z) be the first derivative of 1/3*z**3 + 9/20*z**5 - 1 - 3/4*z**4 + 0*z**2 + 0*z. Factor c(w).
w**2*(3*w - 2)**2/4
Let l(h) = 10*h**4 - 28*h**3 + 10*h**2 + 8*h. Let w(u) = -20*u**4 + 57*u**3 - 21*u**2 - 16*u. Let p(k) = 10*l(k) + 4*w(k). Find z, given that p(z) = 0.
-2/5, 0, 1, 2
Let i(z) be the second derivative of -z**7/2940 + z**6/630 - z**5/420 - z**3/6 + 2*z. Let t(d) be the second derivative of i(d). Factor t(c).
-2*c*(c - 1)**2/7
Let g(l) be the second derivative of 3*l**7/28 - l**6/10 - 3*l**5/40 - 15*l. Factor g(r).
3*r**3*(r - 1)*(3*r + 1)/2
Let f(d) be the second derivative of -d**4/3 - 52*d**3/3 - 338*d**2 + 24*d. Determine z, given that f(z) = 0.
-13
Factor -9*m - 3*m**3 + 11*m**2 - 10*m**2 - 13*m**2.
-3*m*(m + 1)*(m + 3)
Let t(b) be the first derivative of -b**6/15 - 6*b**5/25 - 3*b**4/10 - 2*b**3/15 - 9. Factor t(z).
-2*z**2*(z + 1)**3/5
Suppose 4*l - 3 - 2 = 5*k, 0 = 4*l + k - 23. Solve c**2 + 2 - 5*c**2 + 2*c**2 - 5*c**3 + l*c = 0 for c.
-1, -2/5, 1
Let j(w) = w**2 + 1. Let q(o) = 4*o**2 + 2*o + 8. Let l(f) = -8*j(f) + q(f). Factor l(x).
-2*x*(2*x - 1)
Let c = 44 - 41. Let o(r) be the first derivative of -2/5*r + 2 + 2/5*r**2 - 2/15*r**c. Factor o(h).
-2*(h - 1)**2/5
Suppose 0 = 4*q - c + 4, -5*q - 4*c + 8*c = 16. Determine t, given that 1/5*t**3 - 1/5*t**4 + 0*t**2 + 0 + q*t = 0.
0, 1
Let v be (-48)/(-15) + (-22)/110. Find t, given that -10/11*t**2 - 2/11*t**v - 14/11*t - 6/11 = 0.
-3, -1
Let y = 13 + -11. Solve -2*s**y - 17*s**5 + 7*s**2 + 45*s**5 - 6*s**4 + 18*s + 4 - 3*s**2 - 46*s**3 = 0.
-1, -1/2, -2/7, 1
Let j be (-18)/6 - 3/1. Let t be (-24)/(-9) + j/9. Suppose 0*o + 2*o**3 + 3/2*o**4 + 1/2*o**t + 0 = 0. Calculate o.
-1, -1/3, 0
Let 2/3*m**5 - 2/3 - 4/3*m**3 + 2/3*m - 2/3*m**4 + 4/3*m**2 = 0. Calculate m.
-1, 1
Let r(q) be the second derivative of -2*q**7/147 - 4*q**6/105 - q**5/35 + 7*q. Determine o, given that r(o) = 0.
-1, 0
Let h(v) be the first derivative of -v**5/360 - v**4/144 + v**3/18 + v**2 - 1. Let b(m) be the second derivative of h(m). Factor b(a).
-(a - 1)*(a + 2)/6
Let z(c) be the third derivative of c**8/84 - 2*c**7/105 - c**6/10 + c**5/15 + c**4/3 - 10*c**2. Determine r so that z(r) = 0.
-1, 0, 1, 2
Let k(c) be the third derivative of c**8/80640 + c**5/20 + 3*c**2. Let y(f) be the third derivative of k(f). Factor y(r).
r**2/4
Factor -24*c + 3*c**4 + 27*c**2 + 3*c - 11 - 3 - 15*c**3 + 20.
3*(c - 2)*(c - 1)**3
Let q be 48/(-64) - -1*(-14)/(-8). Factor 3/4*t**2 - q + 0*t + 1/4*t**3.
(t - 1)*(t + 2)**2/4
Let z(v) be the third derivative of -v**6/40 + v**5/4 + 45*v**2. Factor z(m).
-3*m**2*(m - 5)
Let a(c) = c**3 - 9*c**2. Let v be a(9). Let s(n) be the first derivative of 1 + v*n**2 + 1/6*n**6 - 1/3*n**3 - 1/4*n**4 + 1/5*n**5 + 0*n. Solve s(r) = 0.
-1, 0, 1
Solve -2*t**2 + t - 5*t**2 + 8*t**2 = 0 for t.
-1, 0
Let d(s) be the first derivative of 4*s**3 - 3*s**2/2 - 7. Factor d(w).
3*w*(4*w - 1)
Let i = -3 + 3. Find x, given that 2/3*x**2 + 0*x + i = 0.
0
Let h = 176/465 + 2/93. Solve 0*z + 0*z**2 + 0 - h*z**3 = 0.
0
Let g = 14 - 12. Let t = 4 + -2. Factor -2*i**g - 4*i**t + 4*i**2.
-2*i**2
Let q(u) = u. Let b be q(7). Let k(m) be the third derivative of -2/105*m**b + 0*m**6 + 0*m**4 + 0*m**5 + 0 + m**2 + 1/168*m**8 + 0*m**3 + 0*m. Factor k(x).
2*x**4*(x - 2)
Let r(u) be the first derivative of 5/6*u**3 - 1/10*u**5 - 1/2*u**2 + 1/12*u**6 - 3 - 3/8*u**4 + 0*u. Factor r(f).
f*(f - 1)**3*(f + 2)/2
Let k(c) = 4*c**3 - 14*c**2 + 20*c - 8. Let p(t) = 17*t**3 - 57*t**2 + 81*t - 32. Let d(a) = -9*k(a) + 2*p(a). Factor d(w).
-2*(w - 4)*(w - 1)**2
Factor -1/4*t**5 - 2*t**4 + 0*t - 5/4*t**3 + 0 + 25/2*t**2.
-t**2*(t - 2)*(t + 5)**2/4
Let m(c) be the first derivative of -c**5/20 + c**4/4 - c**3/2 + 2*c**2 - 3. Let o(f) be the second derivative of m(f). Factor o(p).
-3*(p - 1)**2
Let v(i) be the first derivative of -25*i**4/4 + 5*i**3/3 + 8*i**2 + 4*i - 8. Suppose v(s) = 0. What is s?
-2/5, 1
Suppose 4*p = -5*n - 126, p - 106 = 5*n - 0*p. Let h(w) = -16*w**2 + w - 5. Let f(o) = 3*o**2 + 6*o + 1 - 3*o - 3*o. Let s(y) = n*f(y) - 4*h(y). Solve s(b) = 0.
-1
Suppose -3*r + 2*w + 21 = 0, 3*w = 3*r - 0*w - 24. Let o(l) be the first derivative of 18/5*l - r + 6/5*l**2 + 2/15*l**3. Find d such that o(d) = 0.
-3
Let r(c) = -c**3 + c**2 - c + 2. Let i be r(0). Let -w + 2*w**2 - 4*w**2 + i + 2*w - w**3 = 0. What is w?
-2, -1, 1
Let y(r) be the third derivative of 0 - 1/6*r**3 + 0*r + 1/90*r**5 + 5/72*r**4 + 2*r**2. Solve y(q) = 0.
-3, 1/2
Find y such that 11*y**3 + 6*y**3 - 9*y**4 + 4*y**5 - 3*y**4 - 9*y**3 = 0.
0, 1, 2
Let x be ((-2)/(-3))/((-4)/(-6)). Let y(p) = 4*p**2 - 2*p + 1. Let f be y(x). Factor -2*h**2 - h**2 + 5*h**3 - 4*h**f + 2*h.
h*(h - 2)*(h - 1)
Let n(y) be the first derivative of 1 + 0*y - 1/15*y**5 + 1/9*y**3 + 0*y**4 + 0*y**2. Factor n(i).
-i**2*(i - 1)*(i + 1)/3
Let z = -638 - -641. Factor 2/5*l**4 + 26/5*l**2 - 12/5*l**z + 8/5 - 24/5*l.
2*(l - 2)**2*(l - 1)**2/5
Let g(j) = -12*j - 8. Let r(i) = -i**2 + 23*i + 15. Let w(x) = 9*g(x) + 4*r(x). Factor w(h).
-4*(h + 1)*(h + 3)
Let c be 0/((-3 + 2)*-1). Let r be (-7)/(-14) + (-3)/6. Factor 0 - 1/4*p**2 + r*p + c*p**3 + 1/4*p**4.
p**2*(p - 1)*(p + 1)/4
Suppose 4 = i, 2*i = -4*r + i + 36. Let j = r - 5. Factor -18/5*o**j + 12/5*o**2 - 2/5*o + 0.
-2*o*(3*o - 1)**2/5
Let g(n) = -7*n**2 + 4*n - 11. Let f(k) = 2*k**2 - k + 3. Let i(c) = c**2 - 13*c - 8. Let l be i(14). Let p(s) = l*g(s) + 22*f(s). Let p(o) = 0. Calculate o.
-1, 0
Find g, given that 3/5*g**2 - 1/5*g**3 - 4/5 + 0*g = 0.
-1, 2
Let o be (-1)/(-8) + (-45)/168 + 4. Let 15/7*t**4 - 6/7*t + 0 + 3*t**2 - 3/7*t**5 - o*t**3 = 0. What is t?
0, 1, 2
Let o = 2/87 - -164/435. Factor -2/5*x + 2/5 + 2/5*x**3 - o*x**2.
2*(x - 1)**2*(x + 1)/5
Let l(o) = 4*o**5 + o**4 + 3*o**3 - o**2 + 2*o. Let k(z) = 3*z**5 + 2*z**3 + z. Let j be (2/1)/(6/9). Let p(f) = j*k(f) - 2*l(f). Suppose p(u) = 0. What is u?
-1, 0, 1
Suppose 0*u - u = -31. Let i = u - 123/4. Factor 1/4*t**4 + i*t - 1/4*t**2 + 0 - 1/4*t**3.
t*(t - 1)**2*(t + 1)/4
Let y be (1/3)/(3/27). Let -9*r**2 - 8*r + 0*r**3 - 2*r**3 - r**y - 3 - r = 0. What is r?
-1
Let g be 10 - (-6)/((-60)/85). Factor 0 - 1/2*x**2 - g*x.
-x*(x + 3)/2
Suppose -4*l - 16 = -4*t, -12 = 4*t + 3*l - 0*l. Let v be (0 - t/(-3))*-1. Find a such that 2*a**3 + 0 + v*a**2 - 8/9*a = 0.
-2/3, 0, 2/3
Let x(w) be the second derivative of w**7/1260 + w**6/180 + w**5/60 - w**4/4 + 3*w. Let j(h) be the third derivative of x(h). Let j(u) = 0. What is u?
-1
Suppose -23 = a - 5*y - 8, a - 9 = -y. Let k(i) be the second derivative of -1/10*i**4 + 2*i - 1/50*i**a + 0 - 2/15*i**3 + 0*i**2. Factor k(v).
-2*v*(v + 1)*(v + 2)/5
Let r(m) be the second derivative of -m**5/20 - m**4/4 - m**3/3 - 21*m. Determine o so that r(o) = 0.
-2, -1, 0
Let f = -1044/5 + 210. Let 