 = 21*j - 23*j. Suppose 24*s - j - 22*s**5 + 20*s**5 + 3*s**4 + 3*s**4 - 22*s**2 + 2*s**3 = 0. What is s?
-2, 1, 2
Let v(q) be the first derivative of -3/5*q**5 + 3/2*q**4 - 12*q - 6*q**2 + 20 + 3*q**3. Find t such that v(t) = 0.
-1, 2
Factor 3/8*d - 3/8*d**2 + 3/4.
-3*(d - 2)*(d + 1)/8
Let g be (6/(-5))/((-102)/170). Let y(j) be the first derivative of 3*j**4 + 2*j**g + 4*j**3 + 0*j + 4/5*j**5 + 4. Factor y(s).
4*s*(s + 1)**3
Let m(w) = 24*w**3 - 72*w**2 + 36*w + 2. Let c(f) = 72*f**3 - 217*f**2 + 108*f + 7. Let l(x) = 2*c(x) - 7*m(x). Solve l(o) = 0.
0, 2/3, 9/4
Let b(n) be the third derivative of -n**8/5040 - n**7/630 - n**6/180 + n**5/20 + 9*n**2. Let z(a) be the third derivative of b(a). Determine q so that z(q) = 0.
-1
Factor -82/3*j**3 + 100/9*j**2 - 10/9*j**4 + 0 + 0*j.
-2*j**2*(j + 25)*(5*j - 2)/9
Let u be (1 - -262)*(-2 - 36/(-16)). Let l = 66 - u. Solve -l*d - d**3 + 0 + 5/4*d**2 = 0.
0, 1/4, 1
Let o be (-53 + 41)/(2 - 11). Factor 0 - 2*x**2 + o*x**3 + 2/3*x.
2*x*(x - 1)*(2*x - 1)/3
Factor 2/7*x**2 + 48/7 + 50/7*x.
2*(x + 1)*(x + 24)/7
Let x = 82 - 491/6. Let i be ((-48)/8)/(-6)*0. Factor x*w**2 + 1/3*w**3 + 0 - 7/6*w**4 + i*w + 2/3*w**5.
w**2*(w - 1)**2*(4*w + 1)/6
Let y(b) be the second derivative of 0 + 27*b - 16*b**2 + 6*b**3 - 1/3*b**4. Factor y(n).
-4*(n - 8)*(n - 1)
Let g(r) be the first derivative of -5*r**4/4 + 5*r**3 + 10*r**2 - 60*r - 273. Factor g(x).
-5*(x - 3)*(x - 2)*(x + 2)
Suppose -2*p = 15*a - 10*a + 1, -2*p = -a - 17. Suppose 17*c - 41 = -p. Find n such that 1/2 - 1/4*n**4 + 5/4*n + 3/4*n**c - 1/4*n**3 = 0.
-1, 2
Let h(u) = 7*u**3 - 16*u**2 - 405*u - 1200. Let t(v) = -72*v**3 + 159*v**2 + 4050*v + 12000. Let y(m) = -21*h(m) - 2*t(m). Factor y(z).
-3*(z - 16)*(z + 5)**2
Determine f, given that 180*f**2 - 11 + 15*f**3 + 23*f**3 - 11*f**3 - 276*f + 107 = 0.
-8, 2/3
Factor -11/2*o**2 + 3/2*o - 43/8*o**3 + 0 - 9/8*o**4.
-o*(o + 2)*(o + 3)*(9*o - 2)/8
Let t(k) be the first derivative of -k**6/21 - 8*k**5/7 - 19*k**4/14 - 10. Factor t(w).
-2*w**3*(w + 1)*(w + 19)/7
Suppose 2*y - 2*x - 3 = -1, 17 = y + 3*x. Suppose 0 = 5*c + d - 23, y*c + 5*d = 48 - 13. Factor 3*k + 0*k**4 + 10*k**c - 3*k**5 - 4*k**4 - 6*k**2.
-3*k*(k - 1)**3*(k + 1)
Factor -7 - 3 - 20*k**3 + 334*k**5 + 14*k**4 + 22*k - 336*k**5 - 4*k**2.
-2*(k - 5)*(k - 1)**3*(k + 1)
Factor -2*l**3 - 5*l**2 + 34*l - 3*l**3 - 24*l.
-5*l*(l - 1)*(l + 2)
Let l = -1629/4 + 11451/28. Factor -6/7*x**2 + 27/7*x - l.
-3*(x - 4)*(2*x - 1)/7
Let q = 24/11 - 146/77. Factor 2/7*y**2 + 0 + 0*y - q*y**3.
-2*y**2*(y - 1)/7
Let v(l) be the third derivative of l**8/1680 - l**7/525 - l**6/150 + l**5/150 + l**4/40 - 44*l**2. Factor v(a).
a*(a - 3)*(a - 1)*(a + 1)**2/5
Let m be 2/25 - 3201/(-3300). Let g(c) be the second derivative of -m*c**5 + 5/4*c**4 + 0*c**2 + 0 - 6*c + c**3. Determine h, given that g(h) = 0.
-2/7, 0, 1
Factor -1/3*c**2 + 1/3*c**4 + 0 + 2/3*c**3 - 2/3*c.
c*(c - 1)*(c + 1)*(c + 2)/3
Find d, given that -242*d - d**2 + 170 + 226*d - 209 = 0.
-13, -3
Let d(g) be the second derivative of 0 + 1/30*g**5 + 1/180*g**6 + 1/18*g**3 + 5/72*g**4 + 0*g**2 - 10*g. Suppose d(t) = 0. What is t?
-2, -1, 0
Suppose 2*l - 12 = -0*l - 4*q, 5*l - 18 = -4*q. Let b(u) be the second derivative of 1/5*u**2 + 1/60*u**4 + 1/10*u**3 + l*u + 0. Let b(o) = 0. What is o?
-2, -1
Let v(t) be the third derivative of 0*t + 0 - 1/210*t**5 + 0*t**4 + 4/21*t**3 - 37*t**2. Factor v(s).
-2*(s - 2)*(s + 2)/7
Let b be (1 - 0)/(-3) - 0. Let l = b - -13/21. Let -2/7*t + l*t**2 + 0 = 0. What is t?
0, 1
What is s in 26 + 6*s**3 - 63*s - 257 + 89 + 143*s**2 - 26*s**2 + 82 = 0?
-20, -1/2, 1
Let o(r) be the third derivative of -2*r**7/315 + 13*r**6/90 - 11*r**5/9 + 25*r**4/6 - 5*r**2 - 2*r. Suppose o(h) = 0. Calculate h.
0, 3, 5
Let c(f) = f**3 - 16*f**2 + 94*f - 238. Let s be c(8). Suppose -1 = -2*r + 7. Factor v**s + 0 - v**3 + 1/3*v**r - 1/3*v.
v*(v - 1)**3/3
Let z(u) be the first derivative of -7*u**5/5 + u**4/2 + 28*u**3/3 - 4*u**2 + 111. Factor z(v).
-v*(v - 2)*(v + 2)*(7*v - 2)
Let f = -245 + 90. Let r be f/(-225) - (-2)/18. Let 2/5*p**2 + 0 + 0*p + 2/5*p**4 - r*p**3 = 0. What is p?
0, 1
Factor 0 - 5/3*v**4 + 7/3*v**3 + 0*v - 2/3*v**2.
-v**2*(v - 1)*(5*v - 2)/3
Let o be (-2)/(-4) - (18 + 9 + -27). Factor 0 - 1/2*x**3 + x**2 - o*x.
-x*(x - 1)**2/2
Let j(i) be the second derivative of -i**6/10 + 69*i**5/20 - 93*i**4/4 - 455*i**3/2 - 507*i**2 - 10*i - 9. Find d, given that j(d) = 0.
-2, -1, 13
Let i(n) be the third derivative of n**5/210 - 5*n**4/84 - 68*n**2. Let i(q) = 0. Calculate q.
0, 5
Let p(j) = j - 8. Let w be p(8). Suppose 5*g - 41*g**3 + w + 256*g**4 + 32*g**2 - 246*g**4 - 6 = 0. What is g?
-2/5, 1/2, 1, 3
Factor -33/5*i**2 - 27/5 - 3/5*i**3 - 57/5*i.
-3*(i + 1)**2*(i + 9)/5
Let q(r) be the second derivative of r**7/63 - 7*r**6/45 - 17*r**5/30 + 83*r**4/18 - 92*r**3/9 + 32*r**2/3 - 15*r - 8. Find i, given that q(i) = 0.
-4, 1, 8
Let y(v) be the first derivative of -16*v**5/5 - 4*v**4 - 4*v**3/3 + 474. Suppose y(i) = 0. What is i?
-1/2, 0
Let x(m) be the first derivative of -32*m**6/3 + 1616*m**5/5 - 2395*m**4 - 7801*m**3/3 - 1001*m**2 - 169*m - 121. Factor x(z).
-(z - 13)**2*(4*z + 1)**3
Let z = -946/3 - -6628/21. Suppose -2/21*l + 0 - 2/7*l**2 - 2/21*l**4 - z*l**3 = 0. What is l?
-1, 0
Let v(o) be the second derivative of o**4/12 + 139*o**3/6 - 70*o**2 - 515*o. Factor v(j).
(j - 1)*(j + 140)
Let -22*i**4 + 82*i**4 + 479*i**3 - 535*i**3 - 4*i**2 = 0. What is i?
-1/15, 0, 1
Let t = 30 - 34. Let w be t + 0 + -8 + 16. What is m in 1/2*m - m**3 - 1/2 + m**2 - 1/2*m**w + 1/2*m**5 = 0?
-1, 1
Factor -8*f**3 + 0 - 16/3*f**4 - 2/3*f - 4*f**2.
-2*f*(2*f + 1)**3/3
Let z = -13885/19 - -731. Factor -z - 2/19*w**2 + 6/19*w.
-2*(w - 2)*(w - 1)/19
Suppose -4*u + 2*g = -2*g + 16, 5*u + 2*g - 8 = 0. Suppose j + 3*j - 12 = u. Factor 0 - 2/3*k**j + 0*k + 2/3*k**2.
-2*k**2*(k - 1)/3
Suppose -3*h + 229*k - 234*k + 17 = 0, h - k = 19. Let -h - 2/7*o**2 - 4*o = 0. Calculate o.
-7
Factor 84*i**2 - 22*i**3 - 47*i**4 + 51*i**4 - 10*i**3 + 41*i - 113*i.
4*i*(i - 3)**2*(i - 2)
Let 10*q**2 + 11*q - 9*q + 9*q + 174*q - 95 = 0. What is q?
-19, 1/2
Let z(o) be the second derivative of 2*o**7/147 - 8*o**6/105 + o**5/35 + 10*o**4/21 - 8*o**3/21 - 16*o**2/7 + 352*o. Solve z(k) = 0.
-1, 2
Let h(s) be the third derivative of 2*s**7/15 + 2*s**6/5 + s**5/5 - s**4/3 - 8*s**2. Factor h(u).
4*u*(u + 1)**2*(7*u - 2)
Factor 7461*x**3 - 7431*x**3 + 99*x**2 - 3*x**4 + 2*x**4.
-x**2*(x - 33)*(x + 3)
Let p(n) be the first derivative of -3*n**5/100 - n**4/10 + 3*n + 3. Let t(r) be the first derivative of p(r). Factor t(x).
-3*x**2*(x + 2)/5
Suppose 5/2*l**3 - 12*l**2 + 3*l**4 + 1/2*l**5 + 0 - 18*l = 0. Calculate l.
-3, -2, 0, 2
Let x = 55049/22018 - 2/11009. Factor 0 + 0*d + x*d**3 + 5/2*d**2.
5*d**2*(d + 1)/2
Suppose 0*b + 1/2*b**2 + 0 = 0. Calculate b.
0
Let c(u) = 25*u**4 + 288*u**3 + 763*u**2 + 660*u + 163. Let s(d) = d**3 + d**2 + 1. Let g(y) = c(y) - 3*s(y). Determine r so that g(r) = 0.
-8, -2, -1, -2/5
Let z(d) be the second derivative of -d**6/90 + d**5/15 + 7*d**4/9 + 16*d**3/9 + 5*d. Determine a so that z(a) = 0.
-2, 0, 8
Let w(f) be the first derivative of 180*f - 30*f**2 - 8 + 5/3*f**3. What is q in w(q) = 0?
6
Let u = 9 - 4. Let w be 34/18 - ((-224)/72 + 3). Factor -11 - 5*r**u - 8*r**w + 6 + 18*r**2 + 10*r**3 - 5*r - 5*r**4.
-5*(r - 1)**2*(r + 1)**3
Let f = -885 - -3629. Suppose f*b - 3*b**3 + 59*b**3 - 39*b**2 + 4802 + 627*b**2 + 2*b**4 = 0. What is b?
-7
Factor 4*t**2 + 2*t - 11 + 7 + 20 - 20*t**2 - 2*t**3.
-2*(t - 1)*(t + 1)*(t + 8)
Let a be 20/(-1 - -6)*3/(-4). Let d be (-2)/a - ((-640)/(-105) - 7). Factor 4/7 + 25/7*t**4 + 30/7*t**3 - d*t**2 - 12/7*t.
(t + 1)**2*(5*t - 2)**2/7
Let r(k) = 4*k**2 - 2*k + 1. Let b(n) = -2*n + 6. Let c be b(6). Let s(h) = -h**2 + h - 1. Let u(f) = c*s(f) - 2*r(f). Find q, given that u(q) = 0.
-2, 1
Suppose -n - h + 2 = 0, -n + 2*n + 2 = -3*h. Suppose 4*k + n = 6*k. Find z such that 9 - 9 - z**k = 0.
0
Let h(t) be the second derivative of -t**7/42 - 13*t**6/30 - 11*t**5/20 + 13*t**4/12 + 2*t**3 - 247*t. Factor h(q).
-q*(q - 1)*(q + 1)**2*(q + 12)
Suppose -31*s - 11*s + 126 = 0. Factor 2/13*r**4 + 2/13*r**s + 0*r**2 + 0 + 0*r.
2*r**3*(r + 1)/13
Let n(l) be the third derivative of l**5/12 - 10*l**4 + 235