rivative of -7*i**5/60 + 5*i**4/12 + i**3/6 - i**2. Let q(u) = u**2 - u - 1. Let d(p) = -h(p) - 4*q(p). Solve d(v) = 0.
1
Let n = 8 - 5. Factor -1/4*z**2 + 1/4*z**n + 0 - 1/2*z.
z*(z - 2)*(z + 1)/4
Let k be ((0/(-10))/(-5))/((-8)/2). Factor -1/4*o**4 + 0*o + 0*o**3 + k + 1/4*o**2.
-o**2*(o - 1)*(o + 1)/4
Let b be ((-10)/(-3) - 3)/((-3)/(-12)). Find n such that 4/3*n**4 - 16/3*n**2 + 14/3*n - 2/3*n**5 - b + 4/3*n**3 = 0.
-2, 1
Let l(j) be the third derivative of j**6/105 - 13*j**5/210 - 13*j**4/84 + 4*j**3/21 + 4*j**2. Find z such that l(z) = 0.
-1, 1/4, 4
Let p(y) be the first derivative of y**6/180 - y**5/60 - y**3/3 - 1. Let b(u) be the third derivative of p(u). Factor b(q).
2*q*(q - 1)
Let b = 8 - 3. Suppose -b*s + 3*s = -6. Factor f**s + f**4 - f**5 + f**4 + 2*f**5.
f**3*(f + 1)**2
Let t = 2571/65 + -197/5. Find o, given that 4/13*o - 2/13*o**2 - t = 0.
1
Let x(z) = z**2 + 6*z + 6. Let y(j) = 2*j**2 + 11*j + 11. Let c(v) = -11*x(v) + 6*y(v). Factor c(g).
g**2
Suppose 7*p = 2*p - 5. Let g be (0 - (0 + 0))/p. What is l in 1/3*l**4 + 1/3 + 0*l**3 + g*l - 2/3*l**2 = 0?
-1, 1
Let g(f) = f**2. Let a(t) = -3*t**4 + 18*t**2. Let k(d) = -a(d) + 18*g(d). Factor k(l).
3*l**4
Determine z so that -z**2 + 3*z**2 + 0*z**3 + 6*z**4 - 4*z**2 + 4*z**3 = 0.
-1, 0, 1/3
Let o(s) be the first derivative of -8*s**6/3 - 56*s**5/5 - 73*s**4/4 - 43*s**3/3 - 11*s**2/2 - s + 8. Determine m so that o(m) = 0.
-1, -1/4
Let t(s) = 57*s**4 + 21*s**3 - 111*s**2 - 132*s - 57. Let k(z) = 8*z**4 + 3*z**3 - 16*z**2 - 19*z - 8. Let q(d) = 15*k(d) - 2*t(d). Factor q(a).
3*(a - 2)*(a + 1)**2*(2*a + 1)
Factor -472*u - 64 - 132*u**4 - 78*u**3 - 608*u**2 + 88*u - 338*u**3 - 16*u**5.
-4*(u + 2)**4*(4*u + 1)
Let v(t) = 7*t**2 - 10*t + 3. Let i(a) = -15*a**2 + 21*a - 6. Let h be 3/(-3) - (1 - -2). Let m(o) = h*i(o) - 9*v(o). Determine q, given that m(q) = 0.
1
Suppose 0*u = u - 48. Let -21*t**5 + 6 - 73*t**4 - u*t**2 - 102*t**3 + 34*t**4 + 3*t - 39*t**4 = 0. Calculate t.
-1, 2/7
Let i(t) be the third derivative of -t**8/1848 - 2*t**7/1155 + t**5/165 + t**4/132 + 4*t**2. Factor i(b).
-2*b*(b - 1)*(b + 1)**3/11
Let a be 24/(-6)*(-1)/4. Suppose 0 = s - 5 + a. Factor -30*i**4 - 20*i**2 + 37*i**3 + 3 + 10*i**5 - 3 + s*i - i**5.
i*(i - 1)**2*(3*i - 2)**2
Let l(o) = -7*o**4 - 4*o**3 + 2*o**2 - o. Let x(p) = p**4 + p**3. Let z(i) = -2*i + 5. Let c be z(4). Let a(j) = c*l(j) - 15*x(j). Suppose a(s) = 0. What is s?
-1, 0, 1/2, 1
Let w(p) be the third derivative of p**8/280 - 4*p**7/525 - 2*p**6/75 + 3*p**5/25 - 11*p**4/60 + 2*p**3/15 + 8*p**2. Determine k so that w(k) = 0.
-2, 1/3, 1
Suppose -1/2*r**4 - 1/10*r**5 - r**2 - r**3 - 1/10 - 1/2*r = 0. Calculate r.
-1
Let u(a) be the second derivative of 0*a**2 + 3*a + 1/27*a**6 + 0 + 0*a**3 + 1/45*a**5 + 0*a**4. Solve u(b) = 0.
-2/5, 0
Suppose 0 = -2*t + 4*t. Let a(x) be the first derivative of -1/6*x**2 + 2 + 1/12*x**4 - 1/9*x**3 + 1/15*x**5 + t*x. Factor a(r).
r*(r - 1)*(r + 1)**2/3
Let b(p) be the first derivative of 0*p**4 - 1/3*p**3 - 1 + 1/10*p**5 + 0*p**2 - p. Let c(g) be the first derivative of b(g). Factor c(w).
2*w*(w - 1)*(w + 1)
Let q(k) be the second derivative of k**5/170 + 7*k**4/102 - 23*k. Determine t, given that q(t) = 0.
-7, 0
Let c = -30 - -31. Let p(d) be the first derivative of 1/11*d**4 + c - 2/33*d**3 - 1/11*d**2 + 0*d. Factor p(n).
2*n*(n - 1)*(2*n + 1)/11
Let b(t) be the second derivative of t**6/6 - 3*t**5/4 - 5*t**4/3 - 4*t + 9. Find d, given that b(d) = 0.
-1, 0, 4
Let s(d) = -7*d**2 + d. Let x(p) = -2*p**2. Let l(z) = -6*s(z) + 22*x(z). Determine b, given that l(b) = 0.
-3, 0
Let l(a) be the second derivative of -a**8/30240 + a**6/810 - a**4/12 - 5*a. Let f(m) be the third derivative of l(m). Factor f(b).
-2*b*(b - 2)*(b + 2)/9
Let n(t) be the second derivative of 2*t**5/5 + 14*t**4/3 - 31*t**3/3 + 8*t**2 + 4*t + 2. Suppose n(k) = 0. What is k?
-8, 1/2
Let a(n) = -9*n**2 + 9*n + 3. Let h(r) = -r**2 + r - 1. Let m(b) = a(b) - 5*h(b). Determine q, given that m(q) = 0.
-1, 2
Suppose 0 = 2*x - 6. Suppose x*i + 15 = 6*i. Determine c, given that c**2 + 4*c**3 + 2*c**i - c**5 - c**4 - 5*c**3 = 0.
-1, 0, 1
Suppose 18 = -0*u + 3*u. Suppose 0 = -5*c + u + 9. Factor -2 - c*y**3 + 6*y**3 + 1 + 5*y - 7*y**2.
(y - 1)**2*(3*y - 1)
Let x(c) be the first derivative of -c**3/15 - c**2/10 + 7. Factor x(a).
-a*(a + 1)/5
Let v(f) = f**3 + 1. Let i(c) = 7*c**3 - 3*c**2 - 2*c + 2. Let a(y) = -i(y) + 2*v(y). Suppose a(t) = 0. What is t?
-2/5, 0, 1
Let m(q) = q**5 - q**4 + q**2 + 1. Let w(f) = -92*f**5 + 36*f**4 + 146*f**3 - 28*f**2 - 48*f - 2. Let d(p) = -6*m(p) + w(p). Solve d(o) = 0 for o.
-1, -2/7, 1
Let c(u) = -u - 4. Let y be c(-6). Factor g**3 - 3*g**4 + 1 + y - 3.
-g**3*(3*g - 1)
Let 0 + 0*s**2 + 0*s + 2/3*s**4 - 1/3*s**5 - 1/3*s**3 = 0. Calculate s.
0, 1
Let f(g) be the third derivative of g**5/15 - g**4 + 6*g**3 + 2*g**2. Factor f(r).
4*(r - 3)**2
Let x be (14 - (4 - 6))*(-1)/(-9). Determine q, given that 14/9*q**3 - x*q**4 - 4/9*q**2 + 0*q + 2/3*q**5 + 0 = 0.
0, 2/3, 1
Let c(v) = -3*v. Let p be c(-1). Let a be (-3)/(p/(-6)*3). Suppose -3*f**3 - f**2 + f**3 - 5*f**3 + a*f + 6*f**4 + 0*f = 0. What is f?
-1/2, 0, 2/3, 1
Determine x so that 12*x**3 - 20*x**2 + 8*x**4 - 2*x**5 - 2*x**5 - 4*x**4 + 8*x = 0.
-2, 0, 1
Let j(s) be the first derivative of s**8/5040 + s**7/840 + s**6/1080 - s**5/120 - s**4/36 - 2*s**3/3 - 1. Let b(z) be the third derivative of j(z). Factor b(a).
(a - 1)*(a + 1)**2*(a + 2)/3
Suppose 0 = -2*d - 5*h - 16, -10 = 3*d + 6*h - 2*h. What is u in -3 + 0 + 3*u**d + 0*u**2 = 0?
-1, 1
Let x(w) = 12*w**4 + w**3 - 2*w**2 - 11*w + 22. Let n(h) = h**4 - h + 2. Let v(q) = -44*n(q) + 4*x(q). Solve v(j) = 0.
-2, 0, 1
Let d(w) be the third derivative of -w**5/30 - w**4/4 - 2*w**3/3 + 12*w**2. Let d(b) = 0. What is b?
-2, -1
Suppose 0*h**3 - 2*h**3 + 65*h**2 - 67*h**2 = 0. Calculate h.
-1, 0
Let n(s) = 2*s**4 - 4*s**3 + s**2 + s - 1. Let b(u) = -u**2 + u - 1. Let y be (-1)/4 - (-10)/8. Let l(w) = y*b(w) - n(w). Suppose l(c) = 0. Calculate c.
0, 1
Factor 4*j - 5 + 3*j**2 + 0*j**2 + 3 - 5*j**2.
-2*(j - 1)**2
Let h = -46 + 691/15. Let v(q) be the second derivative of 2/5*q**2 + h*q**3 + 0 - 1/30*q**4 + q. Suppose v(t) = 0. What is t?
-1, 2
Let l(d) be the third derivative of d**6/90 + d**5/6 + 2*d**4/3 + d**3/3 + d**2. Let w(p) be the first derivative of l(p). Determine i so that w(i) = 0.
-4, -1
Let c(d) be the third derivative of -d**8/168 - 4*d**7/105 - d**6/20 + 2*d**5/15 + d**4/3 - 11*d**2. What is v in c(v) = 0?
-2, -1, 0, 1
Let m be (-1)/3 + 14/6. Let c be 2/3*(-45)/(-10). Find a such that -a**4 + a**3 - 2 - 8*a + 7*a + c*a**m + 0*a**3 = 0.
-1, 1, 2
Let c be 1/3*(2 + -5 - -15). Let -5/3*m**2 - 2/3*m**3 + 2/3*m + 0 + 5/3*m**c = 0. Calculate m.
-1, 0, 2/5, 1
Let n(i) be the first derivative of i**5/70 - 5*i**4/42 + 8*i**3/21 - 4*i**2/7 - 2*i + 2. Let q(s) be the first derivative of n(s). Factor q(f).
2*(f - 2)**2*(f - 1)/7
Let l be (-84)/198 + 2/6. Let y = 14/33 + l. Factor 0 - 1/3*h - 1/3*h**2 + 1/3*h**3 + y*h**4.
h*(h - 1)*(h + 1)**2/3
Let s(u) be the first derivative of 196*u**5/15 - 28*u**4/3 - 256*u**3/3 + 224*u**2/3 - 64*u/3 + 64. Suppose s(y) = 0. What is y?
-2, 2/7, 2
Let m(k) be the third derivative of k**7/70 - k**6/20 - k**5/20 + k**4/4 - 3*k**2. Factor m(c).
3*c*(c - 2)*(c - 1)*(c + 1)
Suppose 11*n - 6*n = 0. Let g be 1/3 + n + 1. Suppose -2/3*v**2 + 0 - 2/3*v**4 + g*v**3 + 0*v = 0. What is v?
0, 1
Find p such that 2/7*p**3 + 8/7*p**2 - 36/7 - 6/7*p = 0.
-3, 2
Suppose -3*w + v + 27 = -6, -17 = -2*w - v. Factor 6*l**4 + w*l**3 - 6*l**2 + 2*l**2 - 14*l**4 + 2*l**5.
2*l**2*(l - 2)*(l - 1)**2
Suppose -20*p**5 - 210*p**3 + 32*p**2 + 76*p**4 + 49*p**4 + 13*p**2 = 0. Calculate p.
0, 1/4, 3
Let h(a) be the third derivative of a**5/540 - a**3/54 - 6*a**2. Factor h(s).
(s - 1)*(s + 1)/9
Suppose -3*m = -5*m + 4. Let u(o) be the first derivative of 0*o**m + 0*o - 1/3*o**3 - 2 + 1/4*o**4. Let u(s) = 0. What is s?
0, 1
Let r = 3/5 + -1/10. Factor -5/4*x - x**2 - r - 1/4*x**3.
-(x + 1)**2*(x + 2)/4
Suppose 5*o + s = 5 - 3, 0 = -4*s + 8. Factor 0*h**3 - 2/3*h**4 - 4/3*h + o + 2*h**2.
-2*h*(h - 1)**2*(h + 2)/3
Let w = -7 - -12. Let g be (-3)/(-1) + (-10)/(-5). Factor -u**w + 3*u**5 - g - 2*u**3 + 5.
2*u**3*(u - 1)*(u + 1)
Let u be 