*(d + 1)
Let s be (-2 + 24/15)*-1. Suppose -a + 50 = 46. Determine x, given that 0*x - s*x**3 + a*x**4 + 0 - 4/5*x**2 = 0.
-2/5, 0, 1/2
Suppose -r + 0 + 1/3*r**2 = 0. What is r?
0, 3
Let s(r) be the third derivative of 1/90*r**5 - 1/315*r**7 + 0*r**3 + 4*r**2 + 0*r - 1/36*r**4 + 1/180*r**6 + 0. Suppose s(m) = 0. Calculate m.
-1, 0, 1
Factor -1/4 - 1/4*h**3 + 1/4*h**2 + 1/4*h.
-(h - 1)**2*(h + 1)/4
Let u(c) be the first derivative of c**4/6 - c**3/3 + 2*c - 2. Let o(r) be the first derivative of u(r). Find m, given that o(m) = 0.
0, 1
Let j = 3/1016 + 44677/9144. Let o = -38/9 + j. Factor 2/3*d**2 - 2/9*d + 0 + 2/9*d**4 - o*d**3.
2*d*(d - 1)**3/9
Factor 0 - 1/3*h**2 - 1/3*h.
-h*(h + 1)/3
Let q = 27/10 + -8/3. Let x(u) be the second derivative of -1/5*u**2 + q*u**4 + u + 0*u**3 + 0. Find w such that x(w) = 0.
-1, 1
Let n(x) be the third derivative of x**6/30 + x**5/15 + 2*x**2. Solve n(w) = 0 for w.
-1, 0
Let s(r) = r**2 + 1. Let g(q) = 16*q**2 - 32*q + 56. Let b(l) = g(l) - 20*s(l). Solve b(n) = 0 for n.
-9, 1
Let h be ((-4)/30)/((-7)/35). Factor 2/3*k**3 + h + 8/3*k**2 - 1/3*k**5 - 2/3*k**4 + 7/3*k.
-(k - 2)*(k + 1)**4/3
Let l(k) be the first derivative of -k**3/3 + k + 5. Factor l(y).
-(y - 1)*(y + 1)
Let q(v) be the second derivative of -3/2*v**2 - 2*v**3 - 1/10*v**6 - 3/5*v**5 - 3/2*v**4 + 3*v + 0. Factor q(f).
-3*(f + 1)**4
Let i = 7981/585 - 646/45. Let x = -3/65 - i. Factor -x*t**3 + 0*t + 1/3*t**4 + 1/3*t**2 + 0.
t**2*(t - 1)**2/3
Let b(i) = -4*i**3 - 9*i**2 - 4*i + 4. Let d(v) = 21*v**3 + 46*v**2 + 20*v - 20. Let s(l) = -11*b(l) - 2*d(l). Find z, given that s(z) = 0.
-2, 1/2
Let f(n) = -n + 5 - 5 + 0 - n**3. Let o(u) = 8*u**3 - u**2 + 6*u + 1. Let r(s) = -14*f(s) - 2*o(s). Factor r(y).
-2*(y - 1)**2*(y + 1)
Let o(g) be the second derivative of g**6/40 - 3*g**5/20 + 3*g**4/16 + g**3/2 - 3*g**2/2 + 5*g. Factor o(d).
3*(d - 2)**2*(d - 1)*(d + 1)/4
Let g(u) be the first derivative of u**4/28 - u**3/21 - 13. Factor g(f).
f**2*(f - 1)/7
Suppose -2*a + 9 = a. Let c be a/(-1 + (-2)/(-1)). Let 1/3*l**4 + 1/3*l**2 + 0*l + 2/3*l**c + 0 = 0. Calculate l.
-1, 0
Let d = 14 - 8. Let v(l) = -4*l**3 - 2*l - 1. Let z be v(-1). Factor 0*c**5 + 4*c**3 + 4*c**z - 2*c**5 - d*c**4 + 0*c**5.
2*c**3*(c - 2)*(c - 1)
Suppose -6 = 2*m - 2. Let a be ((-14)/m - -1)/2. Factor -2*n**4 - a*n**3 + 0*n**4 + 0*n**4.
-2*n**3*(n + 2)
Let l(m) be the third derivative of m**6/360 - m**5/180 - m**4/72 - m**3/2 - m**2. Let u(x) be the first derivative of l(x). Find g such that u(g) = 0.
-1/3, 1
Suppose 15 - 15*a - 6*a + 3*a + 5*a**2 - 2*a = 0. Calculate a.
1, 3
Solve 21*c - 2 - 17*c - c**2 - 1 = 0 for c.
1, 3
Let v(y) be the first derivative of 4*y**3/3 + 2*y**2 - 24*y + 72. Factor v(o).
4*(o - 2)*(o + 3)
Let w(u) be the third derivative of 0 - 5/48*u**4 + 1/224*u**8 + 1/24*u**6 + 0*u + 0*u**5 + 1/6*u**3 - 1/42*u**7 - u**2. Solve w(g) = 0.
-2/3, 1
Let l(m) = -m + 2. Let z be l(-9). Let k(c) = -c + 13. Let y be k(z). Find u such that 4*u**4 - 18*u**5 - 6*u + 4 - 8*u**y + 28*u**3 + 4*u**5 - 8*u = 0.
-1, 2/7, 1
Let v(d) be the third derivative of -d**6/30 + 3*d**5/5 - 4*d**4 + 32*d**3/3 - 11*d**2. Factor v(s).
-4*(s - 4)**2*(s - 1)
Let y(x) = -8*x**3 + 10*x**2 - 2*x. Let m(v) = -v**3 + v**2. Suppose 7 = -5*l + 2. Let f(j) = l*y(j) + 6*m(j). Factor f(r).
2*r*(r - 1)**2
Let x be 4/(-3) - -1 - 55/(-132). Let y(a) be the third derivative of 2*a**2 + x*a**4 + 0*a + 0 + 0*a**3 - 1/15*a**5 + 1/60*a**6. What is r in y(r) = 0?
0, 1
Factor -520*x**4 + 343*x + 31*x**2 - 11*x**2 + 2704*x**5 - 339*x - 183*x**3.
x*(4*x - 1)**2*(13*x + 2)**2
Let z(x) = -7*x**4 + 15*x**3 - 8*x**2 - 2*x + 2. Let g(p) = -85*p**4 + 180*p**3 - 95*p**2 - 25*p + 25. Let u(b) = 2*g(b) - 25*z(b). Factor u(c).
5*c**2*(c - 2)*(c - 1)
Let o = -331 + 333. Factor -2/3*r**3 + 0 - 2/3*r**o + 4/3*r.
-2*r*(r - 1)*(r + 2)/3
Let 2/3*y**2 - y + 1/3 = 0. What is y?
1/2, 1
Let z(g) be the third derivative of 1/72*g**6 + 0 - 1/72*g**4 + 0*g + 0*g**3 - 2*g**2 - 1/45*g**5. Suppose z(w) = 0. What is w?
-1/5, 0, 1
Suppose -2*u + 16 = 4*q, 3*q = 4*u - 1 - 9. Let g(j) be the second derivative of 3*j - 1/3*j**u + 0*j**2 + 0 - 4/15*j**6 + 7/10*j**5 - 1/3*j**3. Factor g(v).
-2*v*(v - 1)**2*(4*v + 1)
Let n(y) = y**3 + 13*y**2 + 11*y - 9. Let q be n(-12). Solve -3 + 15*l - 12*l**2 - 2 - 1 + 3*l**q = 0 for l.
1, 2
Let h(a) = 3*a - 12. Let g be h(4). Let y(b) be the second derivative of -1/12*b**4 + g - 1/20*b**5 - 2*b + 1/2*b**2 + 1/6*b**3. Factor y(v).
-(v - 1)*(v + 1)**2
Let t(y) be the third derivative of 0*y**3 - 1/1008*y**8 + 0*y + 1/120*y**6 - 1/90*y**5 + 0*y**4 + 2*y**2 + 0 + 0*y**7. Suppose t(w) = 0. Calculate w.
-2, 0, 1
Let q(l) be the first derivative of 7/10*l**4 + 2/25*l**5 + 4*l**2 + 5 + 12/5*l**3 + 16/5*l. Factor q(w).
2*(w + 1)*(w + 2)**3/5
Let n = -121/3 + 41. What is k in n*k**2 - 2/3*k + 0 = 0?
0, 1
Let l(h) be the first derivative of 0*h**3 + 5 + 1/5*h**5 - h - h**2 + 1/2*h**4. Factor l(p).
(p - 1)*(p + 1)**3
Let i(t) = -t**3 + 2*t**2 + 4*t - 6. Let s be i(2). Suppose 0 + 0*j - 1/6*j**s = 0. What is j?
0
Suppose -3 = 7*v - 10*v. Let w be 4 + (68/(-24) - v). Factor -w*f**2 - 1/3*f - 1/6.
-(f + 1)**2/6
Suppose m + 41 = 4*z, -m - m - 5 = -z. Suppose 4*t - z = -a, -40 = -5*t + 2*a + 2*a. Factor r**2 + 2*r**2 - 14*r**5 + r**2 - 6*r**3 - 24*r**t.
-2*r**2*(r + 1)**2*(7*r - 2)
Let t(z) be the second derivative of z**5/4 + 5*z**4/3 + 25*z**3/6 + 5*z**2 - 6*z. Determine d so that t(d) = 0.
-2, -1
Let k(i) = i**5 - 9*i**4 + 10*i**3 - 2*i**2 + 11*i. Let g(w) = -w**4 + w**3 + w. Let n(m) = -22*g(m) + 2*k(m). Determine u, given that n(u) = 0.
-2, -1, 0, 1
Suppose -29*i = -24*i. Determine d so that 0 + i*d - 4/7*d**2 + 6/7*d**3 - 2/7*d**4 = 0.
0, 1, 2
Let b(j) = -3*j**2 + 9*j**2 - 7 - 7*j - j**3 - 2*j**2 + 2*j**3. Let n be b(-5). Factor -2/3*v - 5/3*v**2 - 3*v**4 + 0 + 16/3*v**n.
-v*(v - 1)**2*(9*v + 2)/3
Let w(i) be the first derivative of i**5/5 + 3*i**4/4 + i**3/3 - 3*i**2/2 - 2*i + 1. Factor w(l).
(l - 1)*(l + 1)**2*(l + 2)
Let o(q) = 5*q**3 - 13*q**2 + 2*q + 2. Let u(k) = -6*k**3 + 12*k**2 - 3*k - 3. Let i(l) = 3*o(l) + 2*u(l). Factor i(b).
3*b**2*(b - 5)
Let y be (-6)/54*6/(-4). Let r(i) be the second derivative of y*i**4 + 2/3*i**3 + 0*i**2 + 0 - 2*i. Suppose r(u) = 0. What is u?
-2, 0
Let w(y) = -y + 1. Let l(o) = -3*o + 1. Let g(z) = 2*l(z) - 5*w(z). Let b be g(-8). Determine c so that 0*c - 4*c**2 + 9*c**4 - 3*c**3 - b*c**2 + 3*c = 0.
-1, 0, 1/3, 1
Let a = 96/287 - 2/41. Factor 2/7 + 4/7*k + a*k**2.
2*(k + 1)**2/7
Let j(i) be the third derivative of -i**8/20160 + i**7/5040 + i**5/15 + 3*i**2. Let q(c) be the third derivative of j(c). Solve q(r) = 0.
0, 1
Let f(i) = i**4 - i + 1. Let m(o) = 2*o**4 + 12*o**3 - 12*o**2 - 5*o + 5. Let r(b) = -5*f(b) + m(b). Factor r(k).
-3*k**2*(k - 2)**2
Let d(t) = -t**5 - t**4 - t**2. Let v(a) = 3*a**5 - 2*a**3 + 10*a**2 - 7*a + 2. Let u(j) = -2*d(j) - v(j). Factor u(s).
-(s - 1)**4*(s + 2)
Let a be 2/3 - (-8)/(-12). Let j be a + -1 + -1 + 2. What is k in 2/9*k**2 + j + 0*k + 2/9*k**3 = 0?
-1, 0
Let o(n) be the third derivative of -n**6/160 + n**5/80 + n**4/32 - n**3/8 + 4*n**2. Factor o(w).
-3*(w - 1)**2*(w + 1)/4
Suppose 1054*i + 2*i**5 - 1054*i - 2*i**3 = 0. What is i?
-1, 0, 1
Let u(h) = h**3 + 6*h**2 - 8*h - 5. Let m be u(-7). Suppose 4 + b**3 + 2*b**2 - 5*b - 3*b**m - 8 + 1 = 0. Calculate b.
-1, 3
Let i(m) be the first derivative of m**8/336 - 4*m**7/315 + 7*m**6/360 - m**5/90 + m**2 - 2. Let y(z) be the second derivative of i(z). Factor y(b).
b**2*(b - 1)**2*(3*b - 2)/3
Let l(a) be the first derivative of -a**3 - 3*a**2/2 + 18*a + 36. Factor l(c).
-3*(c - 2)*(c + 3)
Factor -5*o**3 - 6*o**5 - 155*o**3 + 51*o**5 + 75*o**4 + 60*o**2.
5*o**2*(o + 3)*(3*o - 2)**2
Suppose 0 = 4*x - 3*i - 6, 5*i + 10 = -4*x + 3*x. Factor 0 + x*g - 1/3*g**4 - g**2 - 4/3*g**3.
-g**2*(g + 1)*(g + 3)/3
Let i(a) be the third derivative of -7*a**5/20 + 3*a**4/4 + 13*a**3/2 + 3*a**2. Let b(n) = 6*n**2 - 5*n - 11. Let h(k) = 18*b(k) + 5*i(k). Factor h(y).
3*(y - 1)*(y + 1)
What is h in -10*h**3 + 0*h - 34*h**4 + 16*h**2 + 18*h**4 + 4*h + 6*h**3 = 0?
-1, -1/4, 0, 1
Let z = -14 + 16. Solve -3*x**2 - z*x**2 + 5*x**2 + x + x**2 = 0 for x.
-1, 0
Factor 0 + 0*j - 3/4*j**3 - 1/2*j**2.
-j**2*(3*j + 2)/4
Let i(j) be the first de