e z - 8 = -z. Find b, given that b - 3*b**5 - b**2 + 2*b**5 - 2*b**z + 3*b**2 = 0.
-1, 0, 1
Let p(c) be the third derivative of 0*c + 1/840*c**7 + 1/24*c**3 + 0*c**6 + 0*c**4 - c**2 - 1/120*c**5 + 0. Factor p(d).
(d - 1)**2*(d + 1)**2/4
Let q = -3/202 - -309/404. Factor -1/2*z**2 + 7/4*z - q.
-(z - 3)*(2*z - 1)/4
Let o be (1*8/10)/(8/20). Factor -27/4 + 9/2*p - 3/4*p**o.
-3*(p - 3)**2/4
Suppose -4*t - 2 = -10. Let r be 0/(-4 + t - -1). Suppose r + 3/2*i + 9/2*i**2 = 0. What is i?
-1/3, 0
Let y = 11 - 10. Suppose 0 = 2*s - 3 - y. Determine j, given that -j**3 - 1/2*j + 7/4*j**s - 1/4 = 0.
-1/4, 1
Factor 2/7*d - 2/7*d**2 + 4/7.
-2*(d - 2)*(d + 1)/7
Suppose 0 = -2*f + 13 - 5. Suppose -6*i + 8*i - f = 0. Factor -3*m + 2 - 6 + 3*m**i + 4.
3*m*(m - 1)
Let b(g) = -55*g**5 + 125*g**4 - 45*g**3 + 5*g**2 + 5*g. Let z(k) = -83*k**5 + 188*k**4 - 68*k**3 + 8*k**2 + 8*k. Let h(y) = 8*b(y) - 5*z(y). Factor h(o).
-5*o**3*(o - 2)*(5*o - 2)
Let f(p) be the second derivative of -1/4*p**3 + 1/20*p**5 - p - 1/20*p**6 + 0 + 1/4*p**2 + 1/84*p**7 + 1/12*p**4. Solve f(j) = 0.
-1, 1
Let y(n) be the second derivative of -3*n**5/140 - 3*n**4/14 - 6*n**3/7 - 12*n**2/7 - 5*n. Let y(s) = 0. What is s?
-2
Let s(g) be the second derivative of -25*g**5 - 50*g**4 - 40*g**3 - 16*g**2 - 6*g. Factor s(j).
-4*(5*j + 2)**3
Let k = -50 - -552/11. Let x be ((0/(-2))/3)/3. Find p, given that k*p**3 + x*p**2 - 2/11*p + 0 = 0.
-1, 0, 1
Let i(b) = b**2 + 8*b + 9. Let m be i(-7). Let n be 0*(9/(-3) + m). Let 6/5*r**4 - 2/5*r**5 + 0 - 8/5*r**2 + n*r + 0*r**3 = 0. What is r?
-1, 0, 2
Let d(q) be the third derivative of q**7/1995 - q**6/228 + 4*q**5/285 - q**4/57 + 6*q**2. Factor d(r).
2*r*(r - 2)**2*(r - 1)/19
Let p(u) = -u**2 + u + 3. Let d(k) = -k**2 + k + 2. Suppose -2*g + 7*g - 10 = 0. Let j(q) = g*p(q) - 3*d(q). Factor j(r).
r*(r - 1)
Suppose 0 = 2*x + 4*w + w + 2, -5*x + w = -22. Let m(a) be the first derivative of 4/5*a**5 - a**2 + 2*a + 1/2*a**x - 2*a**3 - 2. Factor m(z).
2*(z - 1)*(z + 1)**2*(2*z - 1)
Let k be (10/150)/(4/10). Let v(i) be the second derivative of -k*i**2 + 0 - 1/36*i**4 - 1/9*i**3 + 2*i. Factor v(m).
-(m + 1)**2/3
Let u(v) be the third derivative of v**7/840 - v**6/80 + v**5/20 + 5*v**4/12 - 10*v**2. Let a(i) be the second derivative of u(i). Solve a(d) = 0.
1, 2
Let o be (-6777)/(-55) + 10/55. Let v = o + -123. Suppose 6/5*q + 4/5 + v*q**2 = 0. Calculate q.
-2, -1
Let k be 3/(-12)*(-32)/40. Factor -k*i**2 - 2/5 - 3/5*i.
-(i + 1)*(i + 2)/5
Factor 11*o + 13*o - 21*o + 9*o**2 + 6*o**3.
3*o*(o + 1)*(2*o + 1)
Let v(a) be the third derivative of 0*a - 3*a**2 - 1/90*a**5 - 1/6*a**4 - a**3 + 0. Find b, given that v(b) = 0.
-3
Let n(t) be the third derivative of t**9/30240 - t**7/840 - t**6/180 - t**5/20 - t**2. Let d(c) be the third derivative of n(c). Let d(z) = 0. What is z?
-1, 2
Let u(q) be the second derivative of -q**7/11340 + q**6/1620 + q**4/6 - 3*q. Let r(w) be the third derivative of u(w). What is h in r(h) = 0?
0, 2
Suppose -8 = -o + i, -3*o + 0*i + 12 = i. Suppose -1 - 7 = -4*q. Factor 2*u**o - u + 0*u**q + 4*u**4 - u - 4*u**2.
2*u*(u - 1)*(u + 1)**3
Find h, given that -2*h - 3*h**2 + 8*h - 3*h = 0.
0, 1
Let d(m) be the second derivative of -5*m**6/24 + m**5/2 - m**4/2 - m**3/3 + m. Let b(z) be the second derivative of d(z). Determine o so that b(o) = 0.
2/5
Let 4/3*h**4 + 0 - 4/9*h**2 + 0*h + 22/9*h**3 = 0. What is h?
-2, 0, 1/6
Let q(w) be the third derivative of -w**7/70 + w**6/20 - w**5/20 + 3*w**2. Factor q(t).
-3*t**2*(t - 1)**2
Let j(d) be the first derivative of 3*d**3/2 - 3*d**2 + 2*d - 2. Factor j(z).
(3*z - 2)**2/2
Let m(h) = h - 6. Let y be m(6). Let l(s) = -s**2 - 15*s + 16. Let x be l(-16). Factor -2/5*o**5 - 2/5*o**4 + 2/5*o**2 + x + 2/5*o**3 + y*o.
-2*o**2*(o - 1)*(o + 1)**2/5
Let t(f) = -2*f + 2. Let x be t(-2). Factor -2 + 6*u**3 + 0*u**3 - x*u**2 - 4*u**3 + 6*u.
2*(u - 1)**3
Let n(w) be the third derivative of 0*w**3 + 1/210*w**7 + 0*w + 0 + 0*w**4 + 1/336*w**8 + w**2 - 1/60*w**5 - 1/120*w**6. Suppose n(h) = 0. What is h?
-1, 0, 1
Let t(x) be the first derivative of x**3 + 2*x**2 + 4*x/3 + 7. Let t(p) = 0. Calculate p.
-2/3
Suppose -4*j + 2*f - 44 = 6*f, -4*j + 2*f - 50 = 0. Let s be (2/(-42))/(2/j). Let -2/7*u**2 + 2/7 - s*u**3 + 2/7*u = 0. Calculate u.
-1, 1
Let h(l) = 3*l - 92. Let w be h(32). Let b(i) be the second derivative of 1/48*i**w - 1/8*i**3 + 1/4*i**2 + 2*i + 0. Let b(d) = 0. Calculate d.
1, 2
Let a(g) be the third derivative of -g**8/1176 + g**6/420 - g**2 + 3. Determine p so that a(p) = 0.
-1, 0, 1
Let g(u) be the first derivative of u**4/16 + 3*u**3/8 - 6*u - 5. Let i(w) be the first derivative of g(w). Determine x, given that i(x) = 0.
-3, 0
Let v(g) be the third derivative of -g**8/448 + g**6/80 - g**4/32 + 6*g**2. Solve v(f) = 0 for f.
-1, 0, 1
Find n such that 17*n + 7*n - 3*n**4 - 3 + 72*n**3 - 24*n**4 - 66*n**2 = 0.
1/3, 1
Factor d - 18*d**2 + 3*d - 559 + 559.
-2*d*(9*d - 2)
Let w(b) be the second derivative of 0*b**2 + 1/40*b**5 + 0*b**3 - 1/120*b**6 + 2*b - 1/48*b**4 + 0. Let w(c) = 0. Calculate c.
0, 1
Let x(l) be the third derivative of l**8/80640 - l**7/6720 + l**6/1440 - l**5/60 + 9*l**2. Let n(u) be the third derivative of x(u). Factor n(f).
(f - 2)*(f - 1)/4
Let o be 0/(((-2)/(-6))/(29/(-87))). Determine x so that 4/13*x**2 - 2/13 - 2/13*x**4 + o*x + 0*x**3 = 0.
-1, 1
Let q = -169/28 + 44/7. Let d(z) be the second derivative of -q*z**2 - 7/24*z**3 + 0 - 1/40*z**5 + 1/168*z**7 - 1/6*z**4 + 4*z + 1/60*z**6. Factor d(c).
(c - 2)*(c + 1)**4/4
Find v such that 4/7*v**5 + 4/7*v**3 + 8/7*v**4 + 0 + 0*v + 0*v**2 = 0.
-1, 0
Let i = -7/51 + 157/1020. Let z(d) be the third derivative of -2*d**2 + 1/120*d**6 - 1/24*d**4 + 1/6*d**3 - i*d**5 + 0*d + 0. Factor z(j).
(j - 1)**2*(j + 1)
Let x(r) be the third derivative of 0*r**4 - 1/240*r**6 + 0*r**7 + 0 + 0*r**5 + 0*r + 0*r**3 + 3*r**2 + 1/672*r**8. Solve x(f) = 0 for f.
-1, 0, 1
Factor -1 + 3/2*r - 1/2*r**2.
-(r - 2)*(r - 1)/2
Let a(f) be the third derivative of f**5/210 - 13*f**4/42 + 169*f**3/21 + 37*f**2. Factor a(z).
2*(z - 13)**2/7
Let z = -11 + 13. Find c, given that 0*c**2 - c**2 + 6*c**2 - 2*c**z = 0.
0
Let z(y) = -y**3 + 3*y**2 + 9*y. Let c(h) = -h**2 - 2*h - 2*h**2 + 7*h + 5*h**2. Let p(k) = 5*c(k) - 3*z(k). What is g in p(g) = 0?
-1, 0, 2/3
Factor 2/3*b**2 - 2/9*b**3 - 4/9*b + 0.
-2*b*(b - 2)*(b - 1)/9
Let t(s) = -4*s**5 - 5*s**4 + 13*s**3 - 4*s. Let d(l) = -2*l**5 - 3*l**4 + 7*l**3 - 2*l. Let b(x) = 5*d(x) - 3*t(x). Determine h so that b(h) = 0.
-1, 0, 1
Let a(l) be the second derivative of l**7/1680 + l**6/2160 - l**5/360 - l**3/2 - 3*l. Let q(o) be the second derivative of a(o). Suppose q(z) = 0. What is z?
-1, 0, 2/3
Let w(a) be the third derivative of -a**7/60 - 3*a**6/80 + a**5/10 + a**4/12 + 5*a**2. Factor w(n).
-n*(n - 1)*(n + 2)*(7*n + 2)/2
Let y = 48 - 40. Suppose 0*u - w = -3*u + 4, -u - 3*w = -y. Find c such that -u*c**2 - 13/2*c**3 - 5/2*c**4 + 2*c + 0 = 0.
-2, -1, 0, 2/5
Suppose 4*m + 89 = -175. Let i = -190/3 - m. Solve 0 - 2/3*u**3 - i*u - 8/3*u**2 = 0 for u.
-2, 0
Let 0*h + 12/7*h**3 + 0 - 3/7*h**5 - 12/7*h**2 + 3/7*h**4 = 0. Calculate h.
-2, 0, 1, 2
Let n(c) be the first derivative of -c**4/2 + 4*c**3/3 - c**2 - 6. Factor n(j).
-2*j*(j - 1)**2
Let j(u) be the second derivative of -u**5/110 + u**3/33 - 3*u. What is k in j(k) = 0?
-1, 0, 1
Factor 0*p + 0*p**3 - 3/7*p**4 + 0 + 0*p**2.
-3*p**4/7
Let l = -134646/35 + 3845. Let r = 17/7 + l. Factor 0 + r*g**3 - 2/5*g**2 + 0*g.
2*g**2*(g - 1)/5
Let r(z) = -z**2 - 5*z - 4. Let k be r(-3). Determine a, given that a**4 + a - a**2 - k*a**2 - 3*a + 0*a**2 = 0.
-1, 0, 2
Let x(d) be the third derivative of -d**5/90 + d**4/6 - 5*d**3/9 + 18*d**2. Determine n, given that x(n) = 0.
1, 5
Factor -5*k**2 + 0 + 10*k + 13*k**2 + 2.
2*(k + 1)*(4*k + 1)
Let l be ((-46)/(-21))/(16/12). Let o(i) be the first derivative of 4/7*i - 6/7*i**5 + 2/21*i**3 - 11/7*i**2 - 3 + l*i**4. Suppose o(y) = 0. What is y?
-2/3, 1/5, 1
Suppose -3*w - 3*o - o = -8, 6 = w + 3*o. Let v = 927/5 + -185. Factor w + 0*k + v*k**3 + 2/5*k**2.
2*k**2*(k + 1)/5
Suppose 4*x - 3*a = 2*a + 12, 0 = x - 3*a - 3. Let i = -6/13 + 51/26. Suppose 0*u + 0 + i*u**4 + 3/2*u**x + 1/2*u**5 + 1/2*u**2 = 0. Calculate u.
-1, 0
Let b(s) be the third derivative of s**