0*j**2. Find z such that q(z) = 0.
0, 1
Let c = 11 - 1. Suppose -4*o + c = -2. What is u in 2*u - 2*u**4 + 2*u**2 - 4*u**3 - o*u**3 + 5*u**3 = 0?
-1, 0, 1
Let q(m) be the third derivative of 1/840*m**7 + 1/80*m**5 + 1/160*m**6 + 1/96*m**4 + 0*m - 2*m**2 + 0*m**3 + 0. Determine d so that q(d) = 0.
-1, 0
What is s in -s**3 + 10*s**3 - 5*s**4 + 8*s**4 + 6*s**2 = 0?
-2, -1, 0
Let l(f) be the second derivative of 2*f**2 - 1/6*f**4 - 1/3*f**3 + f + 0. Suppose l(k) = 0. What is k?
-2, 1
Let a(z) = -19*z**3 - 2*z - 1. Let f be a(-1). Suppose f + 0 = 4*p. Let 2*i**2 + 3*i**p + 2*i**3 + 3*i**4 - 4*i**2 - 3*i**3 + i**4 = 0. What is i?
-1, 0, 2/3
Let i(o) be the third derivative of -4/525*o**7 + 0 + 1/50*o**6 + 1/60*o**4 - 4*o**2 + 0*o**3 + 0*o + 1/840*o**8 - 2/75*o**5. Find b such that i(b) = 0.
0, 1
Determine j, given that -5 - 1 + 6 + 52*j**4 - 16*j**2 - 20*j**5 - 16*j**3 = 0.
-2/5, 0, 1, 2
Let x(g) = -7*g**4 - 20*g**3 + 21*g**2 - 16*g. Let h(i) = -4*i**4 - 10*i**3 + 10*i**2 - 8*i. Let u(n) = -11*h(n) + 6*x(n). Factor u(o).
2*o*(o - 2)**2*(o - 1)
Determine c, given that 15/2*c**2 - 27/8*c**3 - 3/2*c + 0 = 0.
0, 2/9, 2
Let w(u) be the second derivative of u**7/126 - u**6/18 + 7*u**5/60 + u**4/36 - 4*u**3/9 + 2*u**2/3 + 2*u. Find o such that w(o) = 0.
-1, 1, 2
Factor 6*v**2 + 0*v - v**4 - 5*v**2 - v**3 + 2*v - v.
-v*(v - 1)*(v + 1)**2
Let z = 14 - 12. What is f in -z*f + 4*f**2 - 2*f**2 + 4*f = 0?
-1, 0
Let p = -3 + 4. Let o = p - -1. Factor -f**4 - 1 + 3*f**3 + o*f - 5*f**3 + 2.
-(f - 1)*(f + 1)**3
Suppose 0 = 3*i + 4*o - 7, -3*i + 0 = -o - 2. Factor 2/3*z - 1/3*z**2 + i.
-(z - 3)*(z + 1)/3
Let n(d) = -d - 5. Let f be n(-7). Let c be 26/10 + (-2)/(-5). Factor -t**5 + f*t**3 + t**3 - 2*t**c.
-t**3*(t - 1)*(t + 1)
Let z be (-6)/(-9)*3/137. Let c = z + 131/411. Factor -8/3*r**3 + 16/3*r**4 - 5*r**2 + 8/3*r - c.
(r - 1)*(r + 1)*(4*r - 1)**2/3
Let s(f) be the second derivative of 0 + 1/24*f**4 - 1/4*f**3 + 1/2*f**2 - 3*f. Factor s(z).
(z - 2)*(z - 1)/2
Suppose -4*s + 4 = -12. Factor 6*z**3 + 3*z**2 + 149*z + z**s - 3*z**3 - 148*z.
z*(z + 1)**3
Suppose -1 = -5*p + r, -p - 9 = -2*r - 2. Let q(f) = 4*f**2 + 14*f - 14. Let a(n) = n**2 + n - 1. Let i(m) = p*q(m) - 6*a(m). Factor i(h).
-2*(h - 2)**2
Let i be (-4 + 4)*(-2)/4. Determine c so that i - 2/3*c + 4/3*c**3 + 2/3*c**2 = 0.
-1, 0, 1/2
Let h be (2 - 2)/(1 + -3). Let j(g) be the third derivative of 0*g + 0*g**3 - 1/360*g**6 + 1/180*g**5 + 2*g**2 + 0*g**4 + h. Solve j(c) = 0 for c.
0, 1
Let v = 2733520/63 + -43388. Let a = 10/7 - v. Let 4/9 - a*k**3 + 2/9*k**4 - 2/3*k**2 + 2/9*k = 0. What is k?
-1, 1, 2
Let p(f) be the third derivative of -1/15*f**5 + 0 + 0*f**3 + 0*f + 8*f**2 - 1/3*f**4. Determine r so that p(r) = 0.
-2, 0
Find t such that 75/2*t**5 - 105*t**4 + 93*t**2 - 66*t + 57/2*t**3 + 12 = 0.
-1, 2/5, 1, 2
Let x(a) = 9*a**4 + 4*a**3 - 47*a**2 - 40*a - 3. Let n(h) = -14*h**4 - 6*h**3 + 70*h**2 + 60*h + 5. Let f(p) = -5*n(p) - 7*x(p). Suppose f(r) = 0. What is r?
-1, -2/7, 2
Suppose 18 = 5*z + 63. Let g(d) = 4*d**2 + 5*d + 1. Let q(f) = -16*f**2 - 20*f - 4. Let c(k) = z*g(k) - 2*q(k). Find m such that c(m) = 0.
-1, -1/4
Let o = -96 - -385/4. Let r(g) be the second derivative of 0 - 3/5*g**5 + o*g**4 + 1/3*g**3 + 0*g**2 + 2*g + 7/30*g**6. Determine l, given that r(l) = 0.
-2/7, 0, 1
Let u = -11 - 5. Let c = -12 - u. Factor 19*d**3 - 28/3*d**2 + 4/3*d + 0 - 12*d**c.
-d*(3*d - 2)**2*(4*d - 1)/3
Let h(i) = i - 5. Let v be h(9). Let m(z) be the second derivative of 0*z**2 - 1/30*z**6 + 0*z**3 - 2*z + 0 - 1/20*z**5 + 0*z**v. Solve m(x) = 0.
-1, 0
Let f = 248/5 - 49. Factor 6/5*n - 3/5 + f*n**4 - 6/5*n**3 + 0*n**2.
3*(n - 1)**3*(n + 1)/5
Let f = -3 - -5. Let i(r) = -r**5 + r**4 - r**3 + r**2 - 1. Let c(z) = -z**4 + 3*z**3 - z**2 - z + 1. Let g(a) = f*i(a) + 2*c(a). Factor g(h).
-2*h*(h - 1)**2*(h + 1)**2
Let g = 17 + -17. Let d(f) be the second derivative of 2*f + 1/3*f**3 + 2/3*f**2 + g - 5/18*f**4. Suppose d(y) = 0. Calculate y.
-2/5, 1
Let x = -1 + 3. Let o = 0 + x. Factor -r + 3*r - r - 2*r**o + r**3.
r*(r - 1)**2
Suppose 2*f = 3*h + 1, -h + 23 = -2*f + 6*f. Factor d**2 + 1/3*d**h + 2/3*d + 0.
d*(d + 1)*(d + 2)/3
Factor -2*t**2 + 4*t**2 - 4*t**2 - 46*t + 42*t.
-2*t*(t + 2)
Let d(m) be the second derivative of -m**7/77 - m**6/55 + 9*m**5/110 + m**4/22 - 2*m**3/11 - 29*m. Let d(s) = 0. Calculate s.
-2, -1, 0, 1
Let o(j) = 5*j**2 + 41*j + 248. Let a(c) = -c**2 + c - 2. Let m(v) = -3*a(v) - o(v). Factor m(d).
-2*(d + 11)**2
Let o(v) be the third derivative of -1/10*v**5 + 0*v**3 + 0 - 6*v**2 + 1/40*v**6 + 1/8*v**4 + 0*v. Determine p, given that o(p) = 0.
0, 1
Let w be (-2 - -5)/(2 - 1). Let p(f) be the first derivative of -7/12*f**w - 5/8*f**2 - 3/16*f**4 - 1/4*f - 3. Factor p(a).
-(a + 1)**2*(3*a + 1)/4
Let u(f) = -f - 1. Let t(x) = -4*x**2 - x - 5. Let b be 24/6*1/4. Let p(m) = b*t(m) - 5*u(m). Let p(d) = 0. Calculate d.
0, 1
Suppose -2*v - 2*v = 24. Let l be (-4)/v*19 + 2. Factor -l*c**3 - 16/3*c**2 - 12*c**4 + 2*c + 4/3 - 10/3*c**5.
-2*(c + 1)**4*(5*c - 2)/3
Let x(r) = -5*r**4 - 7*r**3 + 6*r**2. Let c(t) = -14*t**4 - 20*t**3 + 17*t**2. Let m(j) = -6*c(j) + 17*x(j). What is o in m(o) = 0?
0, 1
Let d(z) be the second derivative of -z**6/15 + z**4/2 + 2*z**3/3 + z + 4. Solve d(t) = 0.
-1, 0, 2
Suppose 33 = 2*q + 29. Let 7/2*h**q + h + 0 + 3/2*h**3 = 0. What is h?
-2, -1/3, 0
Let k(i) = i - 2. Let c be k(5). Factor 3 + c*h**2 - 16*h**2 - 3*h + 7*h**2.
-3*(h + 1)*(2*h - 1)
Let u(c) be the first derivative of -1/30*c**4 + 0*c + c**2 + 0*c**3 - 2 + 1/150*c**5. Let y(a) be the second derivative of u(a). Suppose y(g) = 0. What is g?
0, 2
Suppose -4*b + 25 = -4*t + b, 4*t = 2*b - 10. Let w(j) be the first derivative of -1/6*j**4 + t*j - 2/9*j**3 - 1/9*j**2 - 2/45*j**5 - 2. Factor w(f).
-2*f*(f + 1)**3/9
Let u = -5 - -16. Factor -3*c - 6*c**3 - u*c**2 - 3*c**4 + 2*c**5 - c + c**2 + 5*c**4.
2*c*(c - 2)*(c + 1)**3
Let z be (-4)/14 - 423/(-1260). Let j(v) be the first derivative of -z*v**5 - 1/4*v**3 + 3/16*v**4 + 1/8*v**2 + 2 + 0*v. Factor j(f).
-f*(f - 1)**3/4
Let p = -8 + 11. Factor 3*c**2 + 2*c - c**2 - 4*c**p + 2*c**3 - 2.
-2*(c - 1)**2*(c + 1)
Let n(z) be the first derivative of z**3/3 + 3*z**2 + 1. Let i(o) = -o**2 - 5*o. Let y(a) = -4*i(a) - 3*n(a). Find q such that y(q) = 0.
-2, 0
Solve 0 - 2*u + 1/2*u**2 = 0.
0, 4
Suppose 5*a = a - 24. Let u(g) = g**3 + 5*g**2 - 7*g - 6. Let x be u(a). Find c such that 0 + x*c**2 + 1/4*c - 1/4*c**3 = 0.
-1, 0, 1
Factor -6*a**4 + 19*a**3 - 33*a**2 - 8*a + 19*a**2 + 9*a**3.
-2*a*(a - 4)*(a - 1)*(3*a + 1)
Let z(c) = c**2 - 6*c + 5. Let y(a) = 2*a**2 - 11*a + 9. Let h(v) = -4*y(v) + 7*z(v). Factor h(x).
-(x - 1)**2
Let f = 1 - -5. Factor -c**5 + 4*c**3 + 3*c**4 - 3*c**3 - 3*c**5 - f*c**4.
-c**3*(c + 1)*(4*c - 1)
Let n = -134 - -134. Determine j, given that 0*j + n + 0*j**2 - 1/2*j**5 + j**4 - 1/2*j**3 = 0.
0, 1
Let h(u) be the first derivative of 0*u + 0*u**3 + 1/3*u**6 - 4/5*u**5 - 2 + 1/2*u**4 + 0*u**2. Factor h(s).
2*s**3*(s - 1)**2
Let l(t) be the second derivative of -t**4/30 + 2*t**3/15 - t**2/5 + 8*t + 2. Factor l(b).
-2*(b - 1)**2/5
Let h(u) be the second derivative of 0 + 7/12*u**4 + 3*u - 2*u**3 - 2*u**2. Let h(z) = 0. What is z?
-2/7, 2
Let u(b) = -6*b**3 - 5*b**2 + b. Let p(i) = -7*i**3 - 6*i**2 + i. Let c(a) = -5*p(a) + 6*u(a). Factor c(o).
-o*(o - 1)*(o + 1)
Let j be (63/168)/(3/4). Factor j*u + 5/2*u**2 + 2*u**3 + 0.
u*(u + 1)*(4*u + 1)/2
Let r(v) be the second derivative of v**5/35 + v**4/21 - 4*v**3/21 - 16*v. Factor r(j).
4*j*(j - 1)*(j + 2)/7
Let a = -55/3 - -19. Factor -a*j**2 + 2/3*j + 0.
-2*j*(j - 1)/3
Let q(x) be the second derivative of -x**5/20 - x**4/6 - 6*x. Factor q(f).
-f**2*(f + 2)
Let a(w) = 3*w. Let u be a(1). Factor 17*y**3 + 0*y - 7*y**2 + 4*y**5 + y - 2*y**u - 13*y**4.
y*(y - 1)**3*(4*y - 1)
Factor -4/7*y + 32/7*y**2 - 32/7 + 4/7*y**3.
4*(y - 1)*(y + 1)*(y + 8)/7
Let t(x) = x**2 + 7*x - 6. Let z be (-17)/2 - 1/(-2). Let y be t(z). Let -126/5*l**4 + 66*l**3 + 24*l - 16/5 - 308/5*l**y = 0. Calculate l.
2/7, 2/3, 1
Let g be (-583)/(-33) + 4/(-2). Let i = g - 15. Suppose 2/3*v**3 + i*v + 4/3*v**2 + 0 = 0. Calculate v.
-1, 0
Let t(x) be the second derivative of 11*x**6/150 + x**5/5 - x**4/4 - 2*x**3/3 + 2*x**2/5 + x - 17. Suppose t(n) = 0. Calculat