6*t**5 - 8*t**2 + 4*t**5 - 8*t**3 = 0.
-1, 1/2, 1
Let k be (-9)/(-165) - (3638/187 + -20). Factor 1/5*p**2 - k + 2/5*p.
(p - 1)*(p + 3)/5
Let s = -1797/5 + 360. Let v(t) be the first derivative of -3/2*t**4 - 1/10*t**6 - 2 - 2*t**3 - s*t - 3/2*t**2 - 3/5*t**5. Factor v(u).
-3*(u + 1)**5/5
Let d = -272 + 275. Let y(s) be the first derivative of 2/7*s**2 + 6/7*s - 3 - 2/21*s**d. Suppose y(q) = 0. What is q?
-1, 3
Let j(n) = -4*n**2 + 6*n + 10. Let r(g) = -12*g**2 + 17*g + 29. Let t(p) = -p**3 - 6*p**2 + 5*p + 23. Let x be t(-6). Let z(s) = x*j(s) + 2*r(s). Factor z(y).
4*(y - 3)*(y + 1)
Let h(w) = 5*w**2 - 26*w. Let i(s) = 10*s**2 - 53*s. Let m = -1 + 7. Let k(v) = m*i(v) - 13*h(v). Factor k(x).
-5*x*(x - 4)
Let a(c) = -2*c**3 - 86*c**2 + 122*c - 14. Let w(b) = b**3 + 29*b**2 - 41*b + 5. Let h(x) = -5*a(x) - 14*w(x). Determine v so that h(v) = 0.
0, 3
Factor -18/5*h**3 - 52/5*h + 16/5 - 86/5*h**2.
-2*(h + 1)*(h + 4)*(9*h - 2)/5
Factor -94921875/4*l**5 + 97453125*l**4 - 7212*l + 48 - 10226250*l**3 + 406800*l**2.
-3*(l - 4)*(75*l - 2)**4/4
Let g(d) be the third derivative of 1/120*d**6 + 0 + 0*d**3 + 0*d - 1/12*d**5 + 52*d**2 + 1/6*d**4. Find b, given that g(b) = 0.
0, 1, 4
Suppose 6*f - 10*f + 20 = 0. Suppose 4*a = a + 15. Determine b, given that 0*b**4 - 15*b**3 + 7*b**5 + f*b + b**4 + 4*b**4 - a*b**2 + 3*b**5 = 0.
-1, 0, 1/2, 1
Suppose 10*p - 15*p = -15. Let w(z) be the first derivative of 0*z**p + 0*z**5 - 1/4*z**4 + 1/6*z**6 + 0*z + 0*z**2 - 11. Factor w(f).
f**3*(f - 1)*(f + 1)
Suppose v + 3*v + 2*b = 38, 4*v - 31 = 5*b. Let c be (-20)/(-6) - (-6)/v. Factor 4 + 3*x**4 - c - 7*x**4 + x**2 + 3*x**3.
-x**2*(x - 1)*(4*x + 1)
Let h(u) be the first derivative of -3*u**5 - 5*u**4 + 20*u**3/3 - 18. Factor h(w).
-5*w**2*(w + 2)*(3*w - 2)
Let b be (3/4 - 0)*(-117)/(3510/(-120)). Suppose -5*x - 3*i = 7 + 2, 4*x + i + 3 = 0. Factor -2/5*f**b + x - 4/5*f + 6/5*f**2.
-2*f*(f - 2)*(f - 1)/5
Let g(d) be the second derivative of 7*d**7/12 - 154*d**6/15 + 263*d**5/5 - 328*d**4/3 + 260*d**3/3 - 32*d**2 - 7*d - 4. Find r, given that g(r) = 0.
2/7, 2, 8
Let j(a) = -9 + 9*a**2 - 3*a + 10*a**3 - 11 - 2*a**3 + 9*a**2. Let k(m) = -105*m**3 - 235*m**2 + 40*m + 260. Let t(l) = -40*j(l) - 3*k(l). Factor t(n).
-5*(n - 1)*(n + 2)**2
What is b in 0 - 2/5*b**2 + 266/5*b = 0?
0, 133
Let g(q) be the first derivative of -q**5/120 + q**4/16 - 20*q**2 + 38. Let c(r) be the second derivative of g(r). Solve c(m) = 0 for m.
0, 3
Find v, given that 0 - 1/8*v**4 - 9/4*v**3 - 29/8*v**2 + 6*v = 0.
-16, -3, 0, 1
Factor 100/3*o + 2/3*o**2 + 98/3.
2*(o + 1)*(o + 49)/3
Let g(m) be the second derivative of -m**6/90 - 7*m**5/60 - m**4/36 + 3*m**3/2 - 3*m**2 - 2*m + 6. Factor g(t).
-(t - 1)**2*(t + 3)*(t + 6)/3
Let d(g) be the first derivative of 9 - 1/7*g**3 - 24/7*g + 15/7*g**2 - 3/28*g**4. Suppose d(r) = 0. What is r?
-4, 1, 2
What is l in l**3 + 9*l**2 - 11/3*l**4 - 4 - l**5 - 4/3*l = 0?
-3, -2, -2/3, 1
Suppose 21/4*z**4 - 33/4*z**2 + 9/4*z**5 - 1 - 17/4*z**3 + 6*z = 0. Calculate z.
-2, 1/3, 1
Let h(d) = -d**2 + 10*d - 7. Let i be h(8). Let k = i + -4. What is z in z + k*z**3 - 2*z**2 - 5*z**2 + z = 0?
0, 2/5, 1
Let j(l) be the first derivative of -l**3/12 + 5*l**2/4 - 9*l/4 - 44. Factor j(u).
-(u - 9)*(u - 1)/4
Let u(o) be the first derivative of 2*o**3/45 + o**2 - 32*o/15 - 43. Let u(l) = 0. Calculate l.
-16, 1
Let h(z) be the first derivative of -3/4*z**4 + 3*z**3 - 18 + 3*z - 9/2*z**2. Find n such that h(n) = 0.
1
Let f = 3215 + -3213. Find v such that 1/10*v**f - 1/10 + 0*v = 0.
-1, 1
Let t(h) be the second derivative of h**8/6720 + h**7/1260 + h**6/720 + 5*h**4/12 - 16*h. Let b(s) be the third derivative of t(s). Solve b(c) = 0.
-1, 0
Let t(c) = c**3 - 5*c**2 - 7*c + 3. Let k be t(6). Let i be ((-19)/k)/(2/246). Suppose -775*n**2 + 3*n**5 - 4*n**4 - 2*n - n**5 + i*n**2 = 0. Calculate n.
-1, 0, 1
Let c be 3 - 53*((1 - 0) + 0). Let b be 1*2 + (-80)/c. Determine m so that 24/5*m**2 + 3/5 - 27/5*m**4 - 18/5*m**3 + b*m = 0.
-1, -1/3, 1
Let h(p) = -p**3 + 9*p**2 - 9*p - 8. Let c be h(2). Let z(n) be the first derivative of c*n**2 + 4/3*n**3 - 10 + 0*n. Determine g so that z(g) = 0.
-1, 0
Let x(n) be the third derivative of -n**6/24 - n**5/12 + 5*n**4/3 + 10*n**3 - 4*n**2 + 17. Factor x(h).
-5*(h - 3)*(h + 2)**2
Let i(p) = p**3 + 7*p**2 + 6*p + 7. Let k be i(-6). Let x(s) = s**2 + s + 8 - k + 0*s. Let v(q) = -5*q**2 + 10*q - 14. Let r(z) = v(z) + 2*x(z). Factor r(o).
-3*(o - 2)**2
Suppose -2 + 51/7*b - b**2 = 0. What is b?
2/7, 7
Let c = 30 - 11. Suppose 0 = 22*u - c*u - 15. Let 2*j**2 - 27*j + 12 + u*j**2 - 3*j**3 + 11*j**2 = 0. What is j?
1, 4
Suppose -5*s = l - 2*l + 48, s + 5*l + 20 = 0. Let c be (8/s)/(2/(-20)). Suppose -2*i**2 - 2*i**2 + 3*i**3 + 4*i**4 + c*i**2 + 5*i**3 = 0. Calculate i.
-1, 0
Let z(j) be the second derivative of 3*j**5/20 - 3*j**4 + 9*j**3/2 + 33*j**2 + 64*j + 1. Factor z(n).
3*(n - 11)*(n - 2)*(n + 1)
Let b be 384/(-36)*-1*60/170. Factor 0*t - 2/17*t**3 - 12/17*t**2 + b.
-2*(t - 2)*(t + 4)**2/17
Let i(w) be the second derivative of w**7/63 + w**6/45 - 308*w. Solve i(k) = 0 for k.
-1, 0
Let l = -25 + 24. Let s(c) = 7*c**2 + c. Let p be s(l). Suppose -4 - 2 - 3*j**3 - 9*j + p - 12*j**2 = 0. Calculate j.
-3, -1, 0
Let a be ((-2)/(-4) + -1)*(-6 - 30). Let y be (-12)/(-2 - 1)*9/a. Factor 0 - 1/7*i**y + 1/7*i.
-i*(i - 1)/7
Let r be 14/4 - (-1)/(-2). Let d(n) = -n**3 - 8*n**2 - 9*n - 10. Let k be d(-7). Factor -r*o**3 + 0*o - o**4 - 2*o**k + 0*o.
-3*o**3*(o + 1)
Suppose 0 = 3*j - h + 29 - 27, -5*h = -40. Solve 5/2*y**3 + 1/2 + 1/2*y**4 - y**j - 5/4*y**5 - 5/4*y = 0 for y.
-1, 2/5, 1
Suppose m - 14 + 44 = 5*a, 2*a - m = 15. Let t(w) be the first derivative of 0*w + 1/6*w**2 - a + 5/18*w**3. Find f such that t(f) = 0.
-2/5, 0
Suppose -10*n - 2*a + 14 = -6*n, -n + 3*a = -14. Solve 0*y**3 + 0*y**2 + 0 + 0*y - 2/7*y**4 - 6/7*y**n = 0 for y.
-1/3, 0
Let r(o) be the third derivative of o**6/960 - 9*o**5/80 - 37*o**4/64 - 7*o**3/6 - 45*o**2 - 6*o. Factor r(p).
(p - 56)*(p + 1)**2/8
Let k(g) be the first derivative of 0*g + 4*g**4 + 0*g**2 - 7/5*g**5 + 6 - 4/3*g**3. Solve k(z) = 0 for z.
0, 2/7, 2
Let l(q) be the third derivative of 4096*q**7/525 - 1536*q**6/25 + 5184*q**5/25 - 1944*q**4/5 + 2187*q**3/5 + 42*q**2. Find f, given that l(f) = 0.
9/8
Find v, given that 64*v**2 - v**2 - 115 + 0*v**3 - 5*v + 5*v**3 + 32*v**2 + 20*v**2 = 0.
-23, -1, 1
Let v(z) be the third derivative of -z**5/140 + 3*z**4/14 - 10*z**3/7 + 52*z**2. Suppose v(k) = 0. What is k?
2, 10
Factor -3*m**2 + 100*m - 48 - 89*m - 41*m.
-3*(m + 2)*(m + 8)
Let n = -1 - -5. Suppose -3*m**2 - 80*m**3 - 9*m**n - 3*m**5 + 37*m**3 + 34*m**3 = 0. Calculate m.
-1, 0
Let r = 33 + -29. Factor 0*x**2 + 0 + 0*x - 3*x**r - 6/5*x**3.
-3*x**3*(5*x + 2)/5
Factor 6*h**3 - 16*h + h**2 + h**2 + 2*h**3 - 24 - 6*h**3.
2*(h - 3)*(h + 2)**2
Let k(o) be the second derivative of -2*o**6/15 + 49*o**5/15 - 26*o**4 + 24*o**3 - 17*o**2 - 7*o. Let x(z) be the first derivative of k(z). Factor x(h).
-4*(h - 6)**2*(4*h - 1)
Let j = -1391 - -4205/3. Solve 16*l**3 - 2/3 - 2/3*l**2 - 4*l - j*l**4 = 0.
-1/4, 1
Let b(f) = -2*f - 5. Let y be b(-6). Let j(x) = -x**3 + 8*x**2 - 7*x + 2. Let i be j(y). Factor 6*l**i + 3*l**3 - 2*l + 2*l**2 + 10*l - l**3.
2*l*(l + 2)**2
Let i(p) be the second derivative of p**5/10 + 4*p**4/9 + 4*p**3/9 - 8*p. Factor i(z).
2*z*(z + 2)*(3*z + 2)/3
Let h be 2 - (2023/(-42) - (4 - 1)). Let p = h - 53. Factor -p*d**2 + 1/3 - 1/6*d.
-(d - 1)*(d + 2)/6
Let q(b) be the second derivative of b - 16/5*b**2 - 3888/25*b**5 - 372/5*b**4 - 2187/35*b**7 - 304/15*b**3 - 4131/25*b**6 + 0. Find i, given that q(i) = 0.
-1, -2/9
Let n be (-18)/22 - 2/(-2)*1. Let u = 1/55 + n. Factor -k - u - 3/5*k**3 - 7/5*k**2.
-(k + 1)**2*(3*k + 1)/5
Factor 0 + 2*o**2 - 1/2*o**3 - 2*o.
-o*(o - 2)**2/2
Suppose 1/3*a**3 - 2 - 11/3*a - 4/3*a**2 = 0. Calculate a.
-1, 6
Factor 14*w**2 - 17*w**2 + 0*w**2 - 20 - 23 + 10 + 36*w.
-3*(w - 11)*(w - 1)
Let d(b) = -28*b + 6. Let p(f) = 29*f - 6. Let t(j) = -6*d(j) - 5*p(j). Let y be t(2). Factor 42*q**2 - 2 - y*q**2 + 0.
2*(q - 1)*(q + 1)
Let q(m) = -4*m + 3 + 0 - 4 - 3. Let c be q(-1). Solve c*f**2 + 4/9*f - 2/9 - 4/9*f**3 + 2/9*f**4 = 0.
-1, 1
Let p(s) be the second derivative of s**7/315 + s**6/25 - 23*s**5/150 - 