olve a(q) = 0 for q.
-1, 1
Let z be ((-9)/(-2) - 6) + 3. Factor -z*d**3 - 3/2 - 9/2*d - 9/2*d**2.
-3*(d + 1)**3/2
Let o be (-15)/(-3) - 21/28*4. Factor 1/5 + 1/5*g**o + 2/5*g.
(g + 1)**2/5
Determine l, given that -10/7*l**3 + 4/7*l**2 + 0 + 8/7*l**4 - 2/7*l**5 + 0*l = 0.
0, 1, 2
Let b be (27/(-90))/(1/(5/(-6))). Determine j, given that -1/2*j**2 - 1/4 - b*j**5 + 3/4*j - 1/2*j**3 + 3/4*j**4 = 0.
-1, 1
Let j = 13 - 11. Factor 48*d**5 - 42*d**4 - 34*d**3 + 13*d**3 - 3*d**j + 18*d**4.
3*d**2*(d - 1)*(4*d + 1)**2
Let y(u) = -9*u**2 + 120*u - 69. Let m(r) = -r**2 + 12*r - 7. Let d(j) = -20*j + 1. Let c be d(-1). Let s(g) = c*m(g) - 2*y(g). Factor s(z).
-3*(z - 3)*(z - 1)
Let g(r) be the second derivative of r**6/50 - 3*r**5/100 - 10*r. Find w such that g(w) = 0.
0, 1
Let g(k) be the second derivative of 0*k**2 + 0*k**3 + 0 - 1/10*k**5 + 0*k**4 - k. Factor g(n).
-2*n**3
Let z be 1/1 + (-2 - -3). Suppose 0 = 2*g - y + z*y + 1, 0 = y + 1. Factor g*t**5 + 2*t - 16*t**4 + 0*t**5 - 6*t**5 - 12*t**3.
-2*t*(t + 1)**3*(3*t - 1)
Let j(d) be the third derivative of 0*d**6 - 4*d**2 - 1/525*d**7 + 0*d**4 + 0*d + 0*d**3 + 0 + 1/150*d**5. Determine k, given that j(k) = 0.
-1, 0, 1
Let s = -99 - -694/7. Let l(p) be the first derivative of -1/7*p**2 + 0*p + 1 + s*p**4 + 0*p**5 - 1/21*p**6 + 0*p**3. What is f in l(f) = 0?
-1, 0, 1
Let c(o) be the second derivative of 1/80*o**5 + 0*o**2 + 0 - 1/24*o**3 + o - 1/48*o**4 + 1/120*o**6. Factor c(p).
p*(p - 1)*(p + 1)**2/4
Let t(z) be the second derivative of 0*z**2 + 1/3*z**3 - 5*z + 1/6*z**4 + 0. Factor t(a).
2*a*(a + 1)
Let q = -375 - -377. Solve -2/5 + 2/5*f**q + 0*f = 0.
-1, 1
Let s(v) = v. Let y(i) = -i**2 + 6*i - 11. Let c(k) = -6*s(k) - y(k). Determine r so that c(r) = 0.
1, 11
Let q(r) be the first derivative of 8*r**5/45 + 8*r**4/9 - 86*r**3/27 + 29*r**2/9 - 4*r/3 - 19. Let q(j) = 0. What is j?
-6, 1/2, 1
Factor 12/5*j**5 + 4/5*j**2 - 4*j**4 + 0*j + 0 + 4/5*j**3.
4*j**2*(j - 1)**2*(3*j + 1)/5
Let p be 4/(-18) - 2026/(-45). Let x be ((-684)/15)/(-6) - 4. Determine q, given that -p*q**3 - 48/5*q**2 + x*q + 4/5 = 0.
-1/4, 2/7
What is k in 8*k**2 + 5*k**3 + 8*k**4 - 5*k + 1 - 3 + 6*k**2 - 20*k**4 = 0?
-1, -1/4, 2/3, 1
Let r = -87 - -959/11. Determine t, given that -2/11*t**3 + r*t**4 + 0 - 2/11*t**2 + 2/11*t = 0.
-1, 0, 1
Let d be (-1)/4 - ((-105)/20 - -5). Let n(g) be the first derivative of -1/3*g**3 + d*g**4 + 0*g + 3 + 1/5*g**5 + 0*g**2. Suppose n(o) = 0. Calculate o.
-1, 0, 1
Let r = -853 + 1707/2. Factor g**2 + 0*g - 1/2 + 0*g**3 - r*g**4.
-(g - 1)**2*(g + 1)**2/2
Let a = 11 + -9. Suppose -a*g = -15 + 5. Factor -g*n**3 + 8*n - n**4 - n**3 - n**4.
-2*n*(n - 1)*(n + 2)**2
Let a(g) = -5*g**4 + 2*g**3 - 6*g**2 + 4*g + 5. Let v(n) = -11*n**4 + 4*n**3 - 13*n**2 + 9*n + 11. Let z(s) = -13*a(s) + 6*v(s). Find p such that z(p) = 0.
-1, 1
Let y = 0 + -10. Let b be 2/4*(-24)/y. Factor 3/5*j**2 - 3/5*j - b.
3*(j - 2)*(j + 1)/5
Factor -2*m**4 + 0*m**4 - 1062*m**3 + 4*m**2 + 1060*m**3.
-2*m**2*(m - 1)*(m + 2)
Suppose -4*n + 7*n - 9 = 0. Suppose -2*i = -11 + 3. Factor -8*u - i*u**2 - 8 - u**2 + n*u**2.
-2*(u + 2)**2
Let y be 2/3*(5 - (-54)/(-12)). Factor 2/3*u - y*u**2 + 0.
-u*(u - 2)/3
Let i(y) be the first derivative of -y**3/9 - y**2/6 - 8. Find o, given that i(o) = 0.
-1, 0
Let x = -89/4 - -275/12. Factor 0*i + 0*i**4 + 0 + 0*i**2 - 2/3*i**3 + x*i**5.
2*i**3*(i - 1)*(i + 1)/3
Suppose x - 3*c = -0*c - 1, 2*x = -4*c + 8. Suppose -3*r**5 + 0 - 21/5*r**x + 9/5*r**3 + 6/5*r + 21/5*r**4 = 0. Calculate r.
-1, 0, 2/5, 1
Let g(r) be the third derivative of r**6/240 - r**5/30 - r**4/48 + r**3/3 - 53*r**2. Factor g(w).
(w - 4)*(w - 1)*(w + 1)/2
Suppose 8 + 2 = -2*g. Let h = -2 - g. What is s in h - 4*s**2 + s + 5*s**2 - 5 = 0?
-2, 1
Let d be ((-18)/135)/(1*-8). Let q(o) be the third derivative of 0 - 1/24*o**4 + 2*o**2 + 0*o**3 + d*o**5 + 0*o. Factor q(r).
r*(r - 1)
Let c(i) be the third derivative of i**5/75 + 19*i**4/120 - i**3/6 + 18*i**2. Factor c(b).
(b + 5)*(4*b - 1)/5
Let x be (-1 + -4)*(-9)/15. Factor -12*a**x - 12*a + 0 - 7*a**2 + 3*a**4 + 3 + 17*a**2 + 8*a**2.
3*(a - 1)**4
Suppose 3*b = -0*b + 6. Suppose -2*f - 4*c + 22 = 0, 0 = b*f - 0*f + 3*c - 18. Factor -4*h + 0*h - h**3 + 11*h**f - 6*h**2.
2*h*(h - 1)*(5*h + 2)
Let f be -1*(33/(-11))/((-6)/(-4)). Let i = -115/4 + 29. Let -1 - i*y**f - y = 0. Calculate y.
-2
Let z(t) = -8*t**3 - 36*t**2 - 6*t. Let o(h) = -24*h**3 - 109*h**2 - 17*h. Let r(y) = 4*o(y) - 14*z(y). What is x in r(x) = 0?
-4, -1/4, 0
Let x(b) be the first derivative of -b**6/360 - b**5/60 + b**3 - 1. Let l(d) be the third derivative of x(d). Factor l(o).
-o*(o + 2)
Suppose 4*j - 8 = 3*r - r, -5*r = -10. Suppose 0 = w + 4*s - 5*s, 4 = 4*w - j*s. Factor 2/5*o**5 - 2/5*o - 4/5*o**w + 0 + 0*o**3 + 4/5*o**2.
2*o*(o - 1)**3*(o + 1)/5
Find k, given that 4/5*k**2 + 24/5*k + 0 = 0.
-6, 0
Let h(d) = d - 4. Let u be h(7). Let b(j) = j**3 + 4*j**2 - 6*j - 3. Let l be b(-5). What is a in a**l - 3*a + 2*a**2 + 3*a**u - 1 - 2 = 0?
-1, 1
Let a(p) be the third derivative of p**8/784 + 2*p**7/245 + 3*p**6/280 - p**5/35 - p**4/14 - 4*p**2. Let a(h) = 0. Calculate h.
-2, -1, 0, 1
Let p(l) be the second derivative of 1/30*l**5 + 0*l**3 + 0*l**2 - 1/15*l**6 + 0*l**4 + l + 0 + 2/63*l**7. Factor p(x).
2*x**3*(x - 1)*(2*x - 1)/3
Let o(z) = -z**4 + z**3 - z**2 - z - 1. Let g(t) = -389*t**4 - 171*t**3 + 97*t**2 + 27*t - 5. Let h(i) = g(i) + 3*o(i). Find a, given that h(a) = 0.
-1/2, 2/7
Let a = 0 + 0. Suppose 4*i - 2*w - 6 = 0, -4*i - 2*w - 6 = -a*i. Find u, given that 0*u - 2/5*u**2 + i + 4/5*u**3 - 2/5*u**4 = 0.
0, 1
Let f(l) be the first derivative of l**7/126 - l**6/45 + l**4/18 - l**3/18 - 3*l - 1. Let o(x) be the first derivative of f(x). Solve o(s) = 0.
-1, 0, 1
Let q(c) = 5*c**2 - 4*c + 6. Let k = 7 - 5. Let y(f) = -13 - f**k + 4*f - 5*f**2 - 5*f**2 + 5*f. Let t(j) = 13*q(j) + 6*y(j). Determine w so that t(w) = 0.
0, 2
Let h(n) be the first derivative of -9/4*n**4 + 3*n**2 + 1 - 3/5*n**5 + n**3 + 0*n + 1/2*n**6. Factor h(l).
3*l*(l - 2)*(l - 1)*(l + 1)**2
Let v(i) be the second derivative of -i**9/45360 + i**7/7560 - i**4/3 - 2*i. Let k(w) be the third derivative of v(w). Factor k(b).
-b**2*(b - 1)*(b + 1)/3
Let k(h) = -7*h**5 + 8*h**4 + 17*h**3 - 9. Let y(a) = -a**5 + a**3 - 1. Let r(q) = -2*k(q) + 18*y(q). Factor r(s).
-4*s**3*(s + 2)**2
Let d(x) be the second derivative of 0*x**4 + 0*x**3 + 0 + 0*x**6 + 1/21*x**7 - 1/10*x**5 - 3*x + 0*x**2. What is q in d(q) = 0?
-1, 0, 1
Let b(o) be the first derivative of o**8/840 + o**7/105 + o**6/45 - 2*o**3/3 - 3. Let x(c) be the third derivative of b(c). Factor x(l).
2*l**2*(l + 2)**2
Let g be 5/20*10 + (-3)/(-6). Factor -1/3*c + 1/3*c**g + 1/3*c**4 - c**2 + 2/3.
(c - 1)**2*(c + 1)*(c + 2)/3
Let d(h) be the first derivative of 1/2*h**2 - h + 4 + 0*h**3 - 1/12*h**4. Let o(i) be the first derivative of d(i). Let o(c) = 0. What is c?
-1, 1
Let k(d) be the third derivative of 0 - 1/150*d**5 + 3*d**2 + 0*d + 0*d**3 - 1/30*d**4. Factor k(u).
-2*u*(u + 2)/5
Let 3/4*c**2 + 3/2*c + 3/4 = 0. Calculate c.
-1
Suppose 4*c + 2 = 10. Suppose -18 = -5*d - 2*i, c*d - 5 - 7 = -2*i. Suppose 0*b + 2/7*b**d - 2/7 = 0. What is b?
-1, 1
Suppose 4 - 7 = -3*u. Let 0*a**2 + 9 - 4*a - u - 4*a**2 = 0. What is a?
-2, 1
Solve -98*n**4 + 96*n**4 + n**5 - 2*n**3 + 2*n**2 + n**5 = 0 for n.
-1, 0, 1
Let n(h) = h**3 + h**2 - h - 1. Let u(c) = 4*c**3 - 16*c**2 - 4*c + 16. Let k(g) = -8*n(g) - u(g). Factor k(v).
-4*(v - 1)*(v + 1)*(3*v - 2)
Let o(h) = 1 - 7*h - 2*h**2 + 4*h - h. Let l(g) be the second derivative of -g**2/2 + 2*g. Let n(s) = 3*l(s) + o(s). Factor n(f).
-2*(f + 1)**2
Let h(i) be the first derivative of -27*i**5/5 + 18*i**4 - 13*i**3 + 3*i**2 - 23. Suppose h(w) = 0. Calculate w.
0, 1/3, 2
Let u(p) be the second derivative of p**5/10 + p**4/3 + p**3/3 - 4*p. What is x in u(x) = 0?
-1, 0
Suppose -16*s - 2 = -34. Let g = 0 + 1/2. Solve 1/2*a**s + 0 + g*a = 0.
-1, 0
Factor 14*r**5 - 87*r**4 + 8*r**3 - 54*r**4 + 109*r**4.
2*r**3*(r - 2)*(7*r - 2)
Let j(u) be the third derivative of 0*u**3 + 1/60*u**6 + 0 + 1/105*u**7 + 0*u + 0*u**4 + 4*u**2 + 0*u**5. Find q, given that j(q) = 0.
-1, 0
Let b(l) = -l**3 + l**2 - l + 1. Let a(c) = 4*c**3 - c**2 - 6*c + 3. Let d(i) = 4*a(i) - 4*b(i). Suppose d(s) = 0. What is s?