 = -7. Let 0*d - 1/5*d**p + 0 = 0. What is d?
0
Suppose 0 = -4*l + 5*g + 1 - 6, -5*l + 45 = 4*g. Let c(t) be the third derivative of 0*t + 1/96*t**4 + 0*t**3 - 2*t**2 + 0*t**l + 0 - 1/480*t**6. Factor c(j).
-j*(j - 1)*(j + 1)/4
Let y = -11/8 + 23/8. Let n(q) be the first derivative of 2 + q**2 + 2/5*q**5 + y*q**4 + 2*q**3 + 0*q. Factor n(k).
2*k*(k + 1)**3
Factor -3/7*k**2 + 0 - 12/7*k.
-3*k*(k + 4)/7
Let w(z) be the first derivative of -3*z + 0*z**2 + 0*z**3 + 0*z**4 + 3 + 1/14*z**7 + 0*z**5 + 1/15*z**6. Let j(h) be the first derivative of w(h). Factor j(a).
a**4*(3*a + 2)
Let j(v) = -v**5 + v**4 + 1. Let r(p) = 10*p**5 - 16*p**4 + 12*p**3 - 8*p**2 + 2*p - 8. Let d(n) = -8*j(n) - r(n). What is m in d(m) = 0?
0, 1
Let j be -4*(-3 - 10/(-4)). Let f = -10 + 13. Determine l, given that j*l**4 + l - 4*l**3 - 3*l**4 - 2*l + l**f - 3*l**2 = 0.
-1, 0
Let b = -33 - -23. Let v be (-15)/(-10) - b/(-8). Find z, given that 1/4*z**2 + 1/2*z + v = 0.
-1
Let v(l) = -l**2 + 6*l + 2. Let d be v(6). Let r = 1 + d. Factor -2/7*x**r + 0 + 2/7*x + 0*x**2.
-2*x*(x - 1)*(x + 1)/7
Suppose -3 = -12*l - 3. Let g(v) be the third derivative of 1/6*v**4 + 0*v**3 + 0*v + l - 7/30*v**5 + 3*v**2. Factor g(p).
-2*p*(7*p - 2)
Let d = -63 - -65. Let k(l) be the first derivative of 1/12*l**4 - 1/6*l**2 - 1/9*l**3 + 1/3*l + d. Factor k(q).
(q - 1)**2*(q + 1)/3
Suppose k - s - 3 = 0, -3*k - 2*s = 3*s - 9. Suppose 0 = -k*y + y + 8. Find d, given that 4*d**2 - 20*d**3 + 19*d**y - 5*d**4 + 16*d**4 - 5*d**4 = 0.
0, 2/5
Let d(w) be the second derivative of w**7/21 - w**6/15 - 3*w**5/5 - w**4/3 + 5*w**3/3 + 3*w**2 + 15*w. Factor d(o).
2*(o - 3)*(o - 1)*(o + 1)**3
Let i(z) = z**2 + 37*z - 64. Let q(j) = -36*j + 64. Let b(n) = 4*i(n) + 5*q(n). Suppose b(c) = 0. Calculate c.
4
Let r(k) be the second derivative of k + 1/120*k**6 + 0 + 0*k**3 + 3/2*k**2 + 0*k**4 - 1/60*k**5. Let b(u) be the first derivative of r(u). Factor b(z).
z**2*(z - 1)
Suppose 0*n - 1/6*n**2 + 1/6 = 0. Calculate n.
-1, 1
Let i(n) be the third derivative of -n**7/735 + n**6/84 - n**5/35 - 23*n**2. What is a in i(a) = 0?
0, 2, 3
Let d = -564 - -564. Determine h, given that -3/5*h**2 + 0*h + d + 3/5*h**3 = 0.
0, 1
Let o(m) = 3*m**2 - 8. Let v(i) = -3*i**2 + 7. Let r(n) = 4*o(n) + 5*v(n). Suppose r(q) = 0. Calculate q.
-1, 1
Let i(j) be the second derivative of j**6/70 - 3*j**4/14 - 4*j**3/7 - 9*j**2/14 + 12*j. Let i(c) = 0. What is c?
-1, 3
Let g(u) be the first derivative of u**6/140 + u**5/105 - 3*u**2/2 + 1. Let v(z) be the second derivative of g(z). Solve v(d) = 0 for d.
-2/3, 0
Let q be 6 - (-12)/16*-4. Let v(g) be the third derivative of 0 + 1/60*g**6 + 0*g**q - 1/30*g**5 - 2*g**2 + 1/105*g**7 - 1/12*g**4 + 0*g. Factor v(z).
2*z*(z - 1)*(z + 1)**2
Let z = 1434 + -1432. Factor -2/15 + 2/5*j + 2/15*j**3 - 2/5*j**z.
2*(j - 1)**3/15
Let c(m) be the second derivative of m**9/9072 - m**7/1260 + m**5/360 + m**3/3 + 5*m. Let d(i) be the second derivative of c(i). Factor d(v).
v*(v - 1)**2*(v + 1)**2/3
Find f, given that -3/8*f**3 + 5/4*f**2 - 9/8*f + 1/4 = 0.
1/3, 1, 2
Let j(w) be the first derivative of -216*w**5/5 + 75*w**4/2 + 8*w**3/3 - 4*w**2 + 52. Find m such that j(m) = 0.
-2/9, 0, 1/4, 2/3
Let g = 5 - 1. Suppose y**2 + 3*y**3 + 2*y**4 - y**3 + 2*y**4 - 3*y**g = 0. What is y?
-1, 0
Let b(w) be the first derivative of 0*w**2 + 0*w + 1/3*w**3 + 3. Factor b(c).
c**2
Let d = -374 + 1130/3. Suppose -d*n + 2 + 2/3*n**2 = 0. What is n?
1, 3
Let x(j) be the first derivative of -j**6 + j**2 - 22/5*j**5 - 4*j**3 - 7*j**4 - 2 + 2*j. Determine v, given that x(v) = 0.
-1, 1/3
Find n such that -2/25*n**4 + 0 + 4/25*n**3 - 4/25*n + 2/25*n**2 = 0.
-1, 0, 1, 2
Let l(m) be the third derivative of 0*m + 0 + 0*m**5 - 1/420*m**7 - 1/24*m**4 + 6*m**2 + 1/12*m**3 + 1/120*m**6. Factor l(s).
-(s - 1)**3*(s + 1)/2
Let v(w) be the first derivative of -1/21*w**6 + 0*w**3 + 1 + 0*w**2 + 0*w - 2/35*w**5 + 0*w**4. Factor v(q).
-2*q**4*(q + 1)/7
Suppose 0 = 9*t - 4*t - 20. Suppose -1 = -t*r + 7. Factor 2*u**2 + u - u**3 - 2*u**2 + 2*u**r - 3*u**2 + 1.
-(u - 1)*(u + 1)**2
Let c(n) = n**2 - n - 30. Let m be c(6). What is g in m + g - 7/2*g**2 = 0?
0, 2/7
Suppose -2 = -4*q + 5*q + x, 1 = -x. Let m be -3 - q - 25/(-10). Find h, given that 0 - m*h**2 + 0*h - 3/2*h**4 - 2*h**3 = 0.
-1, -1/3, 0
Let p be (-185)/(-35) - (-4)/(-14). Factor -x**2 - 1 + 3*x**3 + x**2 + x**4 + 2*x - p*x**3.
(x - 1)**3*(x + 1)
Let x be 273/(-2079) - (-2)/9. Let l(m) be the first derivative of -1/22*m**4 - 4 + 4/33*m**3 - 4/11*m + x*m**2. Determine w, given that l(w) = 0.
-1, 1, 2
Let y(a) be the second derivative of 0*a**2 - 1/3*a**3 - 4*a + 1/20*a**5 + 1/12*a**4 + 0. Factor y(d).
d*(d - 1)*(d + 2)
Solve 1/2 - 2/3*o**2 + 1/3*o**3 + 1/6*o**4 - 1/3*o = 0.
-3, -1, 1
Solve -6/5*m + 9/5 + 1/5*m**2 = 0 for m.
3
Let j(z) be the first derivative of 0*z**2 + 9/16*z**4 + 9/20*z**5 - 3 + 0*z + 1/8*z**6 + 1/4*z**3. Solve j(s) = 0.
-1, 0
Let p(q) be the second derivative of q**7/84 + q**6/30 + q**5/40 - 10*q. What is g in p(g) = 0?
-1, 0
Factor -1/4*s**2 - 1/4*s**3 + 5/4*s - 3/4.
-(s - 1)**2*(s + 3)/4
Let j be (-168)/(-78) + (-2)/13. Solve -2*s**3 + 0*s - 4/5*s**4 + 0 + j*s**5 + 4/5*s**2 = 0 for s.
-1, 0, 2/5, 1
Let w(z) = z + 1. Let i(v) = 2 - 3 + 3*v - 1 + 6 + v**3. Let k(p) = i(p) - 4*w(p). Suppose k(s) = 0. What is s?
-1, 0, 1
Let a(c) be the third derivative of -1/60*c**6 + 0*c + 0*c**4 + 0 + 1/30*c**5 - 5*c**2 + 0*c**3. Solve a(r) = 0 for r.
0, 1
Let n = 161 - 161. Suppose n + 2/11*b + 2/11*b**2 = 0. What is b?
-1, 0
Factor -2/7*h**2 - 2/7*h + 0.
-2*h*(h + 1)/7
Suppose 5*y + 0*y = 0. Let q(u) be the third derivative of 0*u**3 - u**2 + 1/105*u**7 + 0*u + 0 + y*u**4 + 1/30*u**6 + 0*u**5. Factor q(r).
2*r**3*(r + 2)
Factor -1/4*a**2 + 0 + 1/4*a**4 - 1/4*a**3 + 1/4*a.
a*(a - 1)**2*(a + 1)/4
Let l(t) = 4*t + 24. Let z be l(-6). Solve 1/3*c**2 + z*c - 1/3 = 0.
-1, 1
Let l = 3/11 + 37/66. Let o(m) be the first derivative of -3/8*m**4 - l*m**3 - 3 + 1/2*m - 1/4*m**2. Factor o(u).
-(u + 1)**2*(3*u - 1)/2
Let a(b) be the second derivative of -b**6/180 + 2*b**5/15 - 4*b**4/3 + 5*b**3/3 - 10*b. Let f(n) be the second derivative of a(n). Factor f(h).
-2*(h - 4)**2
Factor -4/3 - 5/3*j - 1/3*j**2.
-(j + 1)*(j + 4)/3
Suppose -w + 8 = -0*w. Let 3*o**5 - 3*o**2 - 8*o - 3*o**3 + w*o + 3*o**4 = 0. Calculate o.
-1, 0, 1
Let a(h) = 5*h**3 - 43*h**2 - 2. Let w(f) = 10*f**3 - 85*f**2 - 5. Let y(n) = -5*a(n) + 2*w(n). Solve y(p) = 0.
0, 9
Let o(m) be the second derivative of m**5/90 - m**4/3 + 3*m**3 + 19*m. Factor o(x).
2*x*(x - 9)**2/9
Factor -8 - 10*l**2 + 2*l**2 + 12*l + 4*l**2.
-4*(l - 2)*(l - 1)
Let y(m) be the second derivative of 1/189*m**7 + 0*m**4 + 0 - 2*m + 0*m**6 + 1/27*m**3 - 1/45*m**5 + 0*m**2. Factor y(n).
2*n*(n - 1)**2*(n + 1)**2/9
Suppose -7*l - 5*l - 9 + 0 - 3*l**2 = 0. Calculate l.
-3, -1
Let d(m) be the third derivative of 0*m**3 + 0 + 1/84*m**4 + 3*m**2 + 0*m - 1/210*m**5. Factor d(a).
-2*a*(a - 1)/7
Let d(g) = -3*g**2 + g + 4. Suppose -100 = 3*t - 34. Let b(k) = -k**2 - k**2 + 5*k - 14*k**2 + 31 - 10. Let r(l) = t*d(l) + 4*b(l). Solve r(v) = 0 for v.
-1, 2
Let x(s) = 2*s + s**2 - 4*s - 7 + 4*s**2 + 3*s. Let k(l) = -9*l**2 - l + 13. Let f(h) = -3*k(h) - 5*x(h). Suppose f(j) = 0. What is j?
-1, 2
Let r = 433/3 - 144. Factor 0*w**2 + r*w**3 + 0 - 1/3*w.
w*(w - 1)*(w + 1)/3
Let n(o) be the third derivative of o**8/112 - o**7/70 - o**6/20 + 22*o**2. Factor n(z).
3*z**3*(z - 2)*(z + 1)
Let p(w) = 3*w**4 - 72*w**3 + 192*w**2 - 133*w - 10. Let f(t) = 2*t**4 - 36*t**3 + 96*t**2 - 66*t - 4. Let j(q) = -5*f(q) + 2*p(q). Factor j(l).
-4*l*(l - 4)**2*(l - 1)
Let a be (-34)/(-8) - (-5)/(-20). Let 0*z**3 - z**5 - 2*z**4 + 0*z**a - z**3 = 0. Calculate z.
-1, 0
Let y(w) be the second derivative of -w**7/140 - 3*w**6/160 - w**5/80 - w**2 + 3*w. Let a(v) be the first derivative of y(v). Factor a(z).
-3*z**2*(z + 1)*(2*z + 1)/4
Factor -1/3*z**5 + 2/3*z**3 + 0*z**2 + 0*z**4 + 0 - 1/3*z.
-z*(z - 1)**2*(z + 1)**2/3
Let o(f) be the third derivative of -f**5/60 - 4*f**2. Let i(n) = 4*n**2 + 2*n. Let c(j) = i(j) + 6*o(j). Solve c(y) = 0 for y.
0, 1
Let y be -1 - 1/(-1 + 3 + -3). Let l(s) be the third derivative of 0*s - 1/36*s**4 - 1/45*s**5 - 1/180*s**6 - 3*s**2 + y*s**3 + 0. Suppose l(r) = 0. What is r?
-