 What is d?
0, 1
Let k(r) = 12*r**3 - 122*r**2 - 76*r - 78. Let b = 137 + -69. Let s(w) = w**3 - 11*w**2 - 7*w - 7. Let u(v) = b*s(v) - 6*k(v). Solve u(q) = 0 for q.
-2, -1
Suppose 5*x - 2*x - 36 = 0. Factor 2*y - 14*y**3 + x*y**3 - 4*y**4 + 2*y**2 + 2*y**4.
-2*y*(y - 1)*(y + 1)**2
Let 0*j**4 + 2/15*j**5 + 0 - 2/15*j**3 + 0*j + 0*j**2 = 0. What is j?
-1, 0, 1
Let z(j) = -3*j + 17. Let m be z(5). Factor 0 + 2/7*y**4 + 4/7*y + 6/7*y**3 - 2/7*y**5 - 10/7*y**m.
-2*y*(y - 1)**3*(y + 2)/7
What is a in 2*a - 6*a**3 - 8*a + 8*a + a + 3*a**5 = 0?
-1, 0, 1
Let h(d) be the second derivative of d**8/280 - 4*d**7/525 + d**6/300 + d**2 - 7*d. Let y(w) be the first derivative of h(w). Let y(z) = 0. What is z?
0, 1/3, 1
Let r(f) be the third derivative of 0*f + 0*f**3 + 1/30*f**5 - 1/180*f**6 - 1/18*f**4 - 4*f**2 + 0. Factor r(b).
-2*b*(b - 2)*(b - 1)/3
Let f = 3 - 1. Determine b so that -3*b**f + 3*b**3 - 444*b + 444*b = 0.
0, 1
Let s = 1 + -1. Suppose s*v = v - 2. Factor -j**2 + j**2 - j**3 + 2*j**v - j.
-j*(j - 1)**2
Let o(k) be the third derivative of -k**6/480 - k**5/240 + k**4/96 + k**3/24 + 2*k**2. Determine t, given that o(t) = 0.
-1, 1
Let d be (-4)/(-6)*(2 + 1). Suppose 3*j + 5*s = d*j + 5, -j + 2*s - 2 = 0. Factor -6*n**3 + 0*n**2 + 2*n - 2*n**2 + j*n**2 + 2*n**4 + 4*n**3.
2*n*(n - 1)**2*(n + 1)
Let s(w) be the first derivative of 10*w**3/3 + 23*w**2 - 20*w - 10. Factor s(j).
2*(j + 5)*(5*j - 2)
Let m = -4 + 4. Determine o so that 3*o**2 - 5*o**2 - 1 + m - 1 - 4*o = 0.
-1
Let s(j) be the second derivative of -1/2*j**4 + 0 + 1/10*j**5 + 1/15*j**6 - 1/3*j**3 + 2*j**2 + 3*j. Suppose s(r) = 0. Calculate r.
-2, -1, 1
Let b(h) be the second derivative of -h**8/168 + h**6/60 + 4*h**2 - 5*h. Let m(l) be the first derivative of b(l). Find p, given that m(p) = 0.
-1, 0, 1
Let g be (-9)/135 - ((-8)/(-5) + -2). Factor 0*x - 1/3*x**2 + g.
-(x - 1)*(x + 1)/3
Suppose -6 = 5*d + 9, 2*j - 2 = -4*d. Let h = -4 + j. Factor 3/4*a - 1/2*a**2 - 3/4*a**h + 1/2.
-(a - 1)*(a + 1)*(3*a + 2)/4
Let r(g) = -14*g**3 + 50*g**2 + 11*g + 11. Let p(f) = 3*f**3 - 10*f**2 - 2*f - 2. Let c(d) = -11*p(d) - 2*r(d). Suppose c(o) = 0. What is o?
0, 2
Let b(u) be the third derivative of u**6/210 + u**5/420 - u**2. Factor b(p).
p**2*(4*p + 1)/7
Let x(s) be the first derivative of -3 + 0*s - 2*s**2 + 2*s**3 - 1/2*s**4. Determine p, given that x(p) = 0.
0, 1, 2
Let r(l) be the third derivative of 0*l + 0 + 1/600*l**6 + 0*l**4 + 5*l**2 + 0*l**5 + 0*l**3 + 1/1050*l**7. Solve r(a) = 0 for a.
-1, 0
Let s(k) be the second derivative of k**7/21 + 11*k**6/45 + 23*k**5/45 + 5*k**4/9 + k**3/3 + k**2/9 - 24*k. Let s(c) = 0. Calculate c.
-1, -1/3
Let z(k) be the third derivative of 0 - 49/480*k**6 + 0*k + 0*k**3 - 1/24*k**4 + 7/60*k**5 - k**2. Suppose z(a) = 0. Calculate a.
0, 2/7
Let b(w) be the first derivative of 2/9*w**3 + 1/6*w**2 + 1/12*w**4 + 0*w + 6. Factor b(o).
o*(o + 1)**2/3
Let q(j) be the first derivative of 3*j**4/4 - 3*j**2/2 - 1. Factor q(u).
3*u*(u - 1)*(u + 1)
Let v(h) be the first derivative of h**7/280 + h**6/24 + 7*h**5/40 + 3*h**4/8 + 7*h**3/3 + 3. Let d(b) be the third derivative of v(b). Factor d(g).
3*(g + 1)**2*(g + 3)
Let n(m) be the third derivative of -m**7/90 + m**6/72 + m**5/90 + 4*m**2. Let n(u) = 0. Calculate u.
-2/7, 0, 1
Let n(q) be the first derivative of -2*q**3/21 - 6*q**2/7 - 18*q/7 - 4. Factor n(u).
-2*(u + 3)**2/7
Let m = -18 - -3. Let h be (m/(-10))/((-2)/(-4)). Determine r so that 5*r**h + r**2 - r**4 - 3*r**2 + 7*r - 2 - 7*r**2 = 0.
1, 2
Let o = -21 - -24. Let t(r) be the second derivative of 1/60*r**6 + 0*r**2 - 2*r + 1/12*r**o - 1/40*r**5 + 0 - 1/24*r**4. Suppose t(c) = 0. What is c?
-1, 0, 1
Let n = -15 + 13. Let b be (-323)/(-342) - n/(-4). Suppose -2/9*c**2 - 2/9*c**4 + 0 + 0*c - b*c**3 = 0. Calculate c.
-1, 0
Let u be (6/(-3))/(3/(-2) + 1). Factor 0*p**3 + 2/5*p**u + 0 + 4/5*p - 6/5*p**2.
2*p*(p - 1)**2*(p + 2)/5
Let x = 3 + -3. Let t = 3/7 + 1/14. Factor 1/2*b - 1/2*b**3 - t*b**4 + x + 1/2*b**2.
-b*(b - 1)*(b + 1)**2/2
Let x(g) be the third derivative of g**8/336 + g**7/210 - g**6/60 - g**5/30 + g**4/24 + g**3/6 - 14*g**2. Factor x(w).
(w - 1)**2*(w + 1)**3
Factor 5/3*h**3 + 0 + 0*h + 5/3*h**2.
5*h**2*(h + 1)/3
Let a(i) be the second derivative of -i**4/72 + i**3/36 + i**2/6 + i. Let a(m) = 0. What is m?
-1, 2
Let m(s) be the third derivative of 0 + 1/20*s**4 - 1/100*s**5 - 4*s**2 + 0*s + 3/10*s**3. Factor m(o).
-3*(o - 3)*(o + 1)/5
Find i such that -3/8*i**2 - 1/8*i**3 - 3/8*i - 1/8 = 0.
-1
Let f = 405 + -12149/30. Let x(w) be the second derivative of 1/9*w**4 + 0 - 1/9*w**3 + 0*w**2 - w - f*w**5. Factor x(h).
-2*h*(h - 1)**2/3
Let z(y) = -2*y**2 + y. Let v(u) = u**2 - u. Let j(x) = 2*v(x) + 2*z(x). Factor j(l).
-2*l**2
Let p(v) be the third derivative of -v**8/1008 + v**6/120 - v**5/90 + 37*v**2. Factor p(t).
-t**2*(t - 1)**2*(t + 2)/3
Factor -14*h**2 + 24*h - 16 - 8*h + 10*h**2.
-4*(h - 2)**2
Let g(o) = 2*o + 28. Let h be g(-12). Let n(c) be the second derivative of 1/8*c**3 - 1/8*c**h + 0 + 2*c + 0*c**2 + 3/80*c**5. Factor n(a).
3*a*(a - 1)**2/4
Factor 0*j + 3/8*j**5 + 0*j**4 + 3/4*j**2 + 0 - 9/8*j**3.
3*j**2*(j - 1)**2*(j + 2)/8
Suppose -z = 2*u - 4, -u - 3*z + 2 = -0*z. Factor -6/5*k**u - 4/5*k + 6/5*k**5 + 14/5*k**4 + 6/5*k**3 + 0.
2*k*(k + 1)**3*(3*k - 2)/5
Suppose -2*v + 0*v = -4. Suppose 3*f - 21 = -5*s, -5*s + 0*s + 25 = 5*f. Suppose -1/2*x**2 - f + v*x = 0. Calculate x.
2
Suppose 2*y + 0*y = 14. Factor y + l**2 - 7 - l + l**3 - 1.
(l - 1)*(l + 1)**2
Suppose -3*x + 4*i - 10 = 0, -x - 4*x + 14 = i. Factor -6*j - 3*j + 5*j**x + 4*j - 3*j - 4.
(j - 2)*(5*j + 2)
Let n(f) = -f. Let g(s) = 12*s**2 - 2*s + 9. Let m(j) = -g(j) + n(j). Let a(w) = -w**2 - 1. Let p(c) = -22*a(c) + 2*m(c). Factor p(h).
-2*(h - 2)*(h + 1)
Let b be (-49)/140*(-2)/(-3). Let r = 4/15 - b. Determine w so that -1/2 + r*w**2 - 1/2*w + 1/2*w**3 = 0.
-1, 1
Let u(a) be the first derivative of -a**4 + 20*a**3/3 + 2*a**2 - 20*a - 8. Factor u(l).
-4*(l - 5)*(l - 1)*(l + 1)
Let c(k) = -15*k + 105. Let z be c(7). What is i in 2/11*i + z - 14/11*i**3 - 8/11*i**4 - 4/11*i**2 = 0?
-1, 0, 1/4
Let u(j) = -j + 12. Let c be u(9). Let h(g) be the first derivative of -1/3*g**2 + 2/27*g**c + 1/6*g**4 - 4/9*g + 2/45*g**5 - 2. Factor h(i).
2*(i - 1)*(i + 1)**2*(i + 2)/9
Let h = 53/24 - 15/8. Let x be 11 + 20/5*-2. Factor h - 1/3*g**x - g + g**2.
-(g - 1)**3/3
Let a(k) = 6*k + 2. Let y be a(2). Suppose -6*d - 2*m = -d - 18, 3*d - 2*m = y. Factor 4*v + 10*v**2 + 6*v**3 - d*v**2 - 2*v + 2*v**4.
2*v*(v + 1)**3
Let w be -6*(-2 + 3)*-2. Factor 0*k**5 - 15*k**4 + w*k**3 - 18*k**3 + 9*k**5.
3*k**3*(k - 2)*(3*k + 1)
Let k(v) be the third derivative of -1/2*v**4 + 0*v - 1/10*v**6 + 0 + v**2 + 1/70*v**7 + 1/2*v**3 + 3/10*v**5. Factor k(l).
3*(l - 1)**4
Let y be (-22)/(-8) + 4/16. Find s such that -4*s**3 - 2*s - s**4 + 1 + 9*s**3 + s**2 - 1 - y*s**5 = 0.
-1, 0, 2/3, 1
Let a(o) be the first derivative of 14*o**5/15 - 5*o**4/6 - 4*o**3/9 + 5. Let a(m) = 0. Calculate m.
-2/7, 0, 1
Let s(n) = -4*n**3 + 20*n. Let d(w) = -8*w**3 + 39*w. Let p = -10 - -14. Let o(i) = p*d(i) - 7*s(i). Find f such that o(f) = 0.
-2, 0, 2
What is f in -8 - 7*f**2 - 41*f - 4 + 13*f - 9*f**2 = 0?
-1, -3/4
Let f = 8 + -4. Suppose -13 = f*j + 3. Let q(h) = 5*h**2 - h. Let v(g) = 6*g**2. Let b(o) = j*q(o) + 3*v(o). Factor b(a).
-2*a*(a - 2)
Suppose -5*k + 3 = -12. Let x be 2/(2/(-1 + k)). Let x*b**3 - 3*b**3 + b - b**3 + b**5 = 0. Calculate b.
-1, 0, 1
Let b(r) = 105*r**2 + 72*r - 33. Let c(s) = -13*s**2 - 9*s + 4. Let y(u) = 6*b(u) + 51*c(u). Suppose y(k) = 0. Calculate k.
-1, 2/11
Let g(i) be the first derivative of i**5 - 3*i**4/4 - 7*i**3/3 + 3*i**2/2 + 2*i - 2. Factor g(f).
(f - 1)**2*(f + 1)*(5*f + 2)
Let s = -48 - -33. Let z be (-16)/s + 2/(-3). Factor 0*i**2 - 2/5*i + 0 + z*i**3.
2*i*(i - 1)*(i + 1)/5
Let o = -36 - 14. Let v = 152/3 + o. Determine p so that 0*p + 2/3*p**5 + 0*p**2 + v*p**3 + 4/3*p**4 + 0 = 0.
-1, 0
Factor -12*f**3 - 6*f**5 + 18*f**5 - 4*f**2 + 4*f**5.
4*f**2*(f - 1)*(2*f + 1)**2
Suppose 0 = -v + 2*m + 8, -4*m = 3*v - 2*v - 8. Factor q**4 - q**4 + v*q - 2 - 2*q**4 - 12*q**2 + 8*q**3.
-2*(q - 1)**4
Let h(b) be the first derivative of -2/3*b**3 - 1/6*b**4 - 1/60*b**5 - 1/2*b**2 + 2 + 0*b. Let a(z) be the second d