2*a*(a - 2)*(a - 1)*(a + 1)/9
Let a = 263 + -260. Let d(l) be the second derivative of 0 - 1/20*l**5 - 1/4*l**2 + 1/4*l**a - 1/84*l**7 - 1/12*l**4 + 1/20*l**6 - l. Factor d(i).
-(i - 1)**4*(i + 1)/2
Let k(u) = u**3 - u**2 - u + 1. Let y(h) = 2*h**3 - 3*h**2 + 1. Let b(n) = -6*k(n) + 2*y(n). Factor b(j).
-2*(j - 1)**2*(j + 2)
Let r(l) = 5*l**3 + 9*l**2 + 8*l - 4. Let g(x) = -3*x**3 - 6*x**2 - 5*x + 3. Let j(d) = 8*g(d) + 5*r(d). Find i such that j(i) = 0.
-1, 2
Let z be (-14)/4*17/30 - -2. Let r(p) be the second derivative of 0*p**2 - 7*p - 3/40*p**5 + z*p**6 + 0*p**3 + 1/12*p**4 + 0. Factor r(o).
o**2*(o - 2)*(o - 1)/2
Let o(i) be the second derivative of -i**8/112 + i**7/35 - i**5/10 + i**4/8 - 13*i**2 - 22*i. Let n(r) be the first derivative of o(r). Solve n(w) = 0.
-1, 0, 1
Let a(c) = -9*c + 15. Let x be a(1). Let h(u) be the third derivative of -1/30*u**5 - 1/8*u**4 + 0 + 0*u - 5*u**2 + 1/120*u**x + 0*u**3. Factor h(t).
t*(t - 3)*(t + 1)
Let z = 4/221 - -213/442. Determine y, given that z*y**2 - y + 1/2*y**3 + 0 = 0.
-2, 0, 1
Suppose 695*m - 12 = 692*m. Let q(h) be the third derivative of 0*h + 0 + 3*h**2 - 1/12*h**m - 2/45*h**5 - 2/27*h**3 - 1/108*h**6. Find f such that q(f) = 0.
-1, -2/5
Let v = 1 + 0. Let j be (-24)/(-12) + -1 + v. Suppose 0*f + f**4 + 0*f + j*f**4 - 3*f**2 = 0. What is f?
-1, 0, 1
Let h(i) be the second derivative of -i**5/10 + 11*i**4/6 - 26*i**3/3 + 16*i**2 - 233*i. Solve h(g) = 0.
1, 2, 8
Find i such that 6*i**2 + 3*i**4 + 414*i - 414*i - 9*i**3 = 0.
0, 1, 2
Let y be (4 + 0)/((-8)/(-28)). Let z = y + -10. Solve -3*l**5 + 2*l**4 - 17*l**z - l - 30*l**3 - 30*l**2 + 2*l - 3 - 16*l = 0.
-1
Suppose -3*d - 14 = -5*d - 4*q, -2*q - 2 = -2*d. Suppose -d*l + 9 = -3. Factor 0 + 2/9*g - 4/9*g**3 + 0*g**l + 2/9*g**5 + 0*g**2.
2*g*(g - 1)**2*(g + 1)**2/9
Let a(i) = -i**3 + 14*i**2 - 37*i + 21. Let y(t) = 7*t**3 - 84*t**2 + 223*t - 127. Let v(n) = 38*a(n) + 6*y(n). Factor v(o).
4*(o - 1)**2*(o + 9)
Let c(i) = 5*i**2 + 40*i + 60. Let o(m) = -m**2 - 10*m - 15. Let z(s) = -6*c(s) - 25*o(s). Suppose z(q) = 0. What is q?
-1, 3
Let m(k) = k**5 + k**2 + k - 1. Let n(o) = -3*o**5 - 2*o**4 - 2*o**3 - 3*o + 2. Let r(x) = 4*m(x) + n(x). Determine p so that r(p) = 0.
-1, 1, 2
Let t be 42/44 + (-1)/(-2). Let z be (-12)/36 + 8/((-2112)/(-184)). Find u such that t*u**4 + 78/11*u**3 + 34/11*u**2 - 32/11*u**5 + z*u + 0 = 0.
-1, -1/4, 0, 2
Let l(p) be the first derivative of -p**6/60 - p**5/20 - p**4/24 + 10*p + 6. Let g(x) be the first derivative of l(x). Factor g(t).
-t**2*(t + 1)**2/2
Let a(o) be the first derivative of o**3/12 + o**2/8 - o/2 - 100. Let a(r) = 0. Calculate r.
-2, 1
Let h(t) = -t**5 - t**4 + t**3 - t**2 + 1. Let v(b) = -10*b**5 + 12*b**4 - 126*b**3 + 342*b**2 - 324*b + 9. Let l(d) = -18*h(d) + 2*v(d). Factor l(o).
-2*o*(o - 12)*(o - 3)**3
Determine t so that 12*t**3 + 8*t**2 + 0*t**3 + 8*t - 6*t**3 - 8*t**3 - 2*t**4 = 0.
-2, -1, 0, 2
Factor 55/3*z - 3025/6 - 1/6*z**2.
-(z - 55)**2/6
Let w(b) = -b**3 + 33*b**2 + 29*b + 20. Let v(d) = d**3 - 17*d**2 - 15*d - 12. Let x(q) = -5*v(q) - 3*w(q). Factor x(u).
-2*u*(u + 1)*(u + 6)
Let h(g) be the first derivative of g**4/10 - 8*g**3/15 - 11*g**2/5 - 12*g/5 - 127. Factor h(r).
2*(r - 6)*(r + 1)**2/5
Suppose 0 = -10*l + 2 + 28. Factor c - 25*c**2 + 7*c + 15*c**4 - 5*c**l - 3*c + 10.
5*(c - 1)**2*(c + 1)*(3*c + 2)
Let q(w) be the first derivative of 0*w**2 + 6 - 1/6*w**4 - 10*w + 1/10*w**5 + 0*w**3. Let n(i) be the first derivative of q(i). Let n(l) = 0. Calculate l.
0, 1
Let h(u) be the second derivative of -6*u + 0*u**2 - 1/5*u**5 + 0*u**4 + 0 + 2/3*u**3. Factor h(x).
-4*x*(x - 1)*(x + 1)
Let n = -38 + 43. Let -5*a**3 + n*a**2 + 0*a**2 - 10*a**2 + 10*a = 0. What is a?
-2, 0, 1
Factor 155/2*w**3 + 0 + 1125/2*w - 5/2*w**4 - 1275/2*w**2.
-5*w*(w - 15)**2*(w - 1)/2
Let h be (-51)/(-9) - (-63)/(-21). Let 0 + 2/3*x**5 + h*x**2 + 4/3*x**3 - 2*x - 8/3*x**4 = 0. Calculate x.
-1, 0, 1, 3
Let w(x) be the third derivative of x**8/420 + x**7/105 - x**5/15 - x**4/6 - 13*x**3/3 - 21*x**2. Let r(o) be the first derivative of w(o). Solve r(h) = 0.
-1, 1
Determine x, given that 7843 + 2*x + 9*x**2 - 7843 + 7*x**3 = 0.
-1, -2/7, 0
Let i(m) be the second derivative of -m**6/40 - m**5/10 - 10*m**2 + 13*m. Let n(t) be the first derivative of i(t). Factor n(x).
-3*x**2*(x + 2)
Let p(z) be the third derivative of 1/42*z**7 - 5/24*z**4 - 1/12*z**5 + 0*z + 0*z**3 + 3*z**2 + 0 + 1/24*z**6. Find u, given that p(u) = 0.
-1, 0, 1
Let o(t) be the second derivative of t**6/6 - 30*t**5 + 2250*t**4 - 90000*t**3 + 2025000*t**2 - 54*t. Factor o(w).
5*(w - 30)**4
Let f(l) be the first derivative of -l**5/5 - l**4 - 5*l**3/3 - l**2 + 40. Let f(k) = 0. Calculate k.
-2, -1, 0
Let q(p) be the third derivative of -p**6/72 + p**5/12 + 5*p**4/8 - 5*p**3/6 - 21*p**2. Let n(y) be the first derivative of q(y). Factor n(v).
-5*(v - 3)*(v + 1)
Let h be (((-120)/(-50))/2)/(5 - 2). Let k(y) be the first derivative of -1/5*y**2 - 2 + 0*y - 2/25*y**5 - h*y**3 - 3/10*y**4. Factor k(v).
-2*v*(v + 1)**3/5
Let r(h) = h**3 - 28*h**2 + 3*h + 651. Let z be r(27). Suppose 1/8 - 3/4*i**2 - 3/8*i**4 + 0*i - i**z = 0. What is i?
-1, 1/3
Suppose 0 - 1/3*p + 1/3*p**2 = 0. What is p?
0, 1
Let n = 913 - 640. Let t = 1429/5 - n. Let -4/5*p**4 - 2/5*p**5 + 16/5*p**3 - 32/5*p + 32/5*p**2 - t = 0. What is p?
-2, 2
Factor 2/5*z**2 - 4/5*z + 0.
2*z*(z - 2)/5
Let h(s) be the first derivative of -16/13*s**2 - 1/26*s**4 + 0*s - 32 + 16/39*s**3. Factor h(l).
-2*l*(l - 4)**2/13
Let v be (46/(-6) - -7) + 37/54. Let t(g) be the second derivative of -1/45*g**5 + 0 - v*g**4 + 2/27*g**3 + 1/9*g**2 + 4*g. Solve t(n) = 0.
-1, -1/2, 1
Let u(j) be the third derivative of -j**8/42 - j**7/105 + j**6/5 + 11*j**5/30 + j**4/6 + 267*j**2. Suppose u(p) = 0. Calculate p.
-1, -1/4, 0, 2
Factor -7*c**3 - 9*c**3 - 4*c**4 - 4511*c + 4495*c - 112 + 84*c**2.
-4*(c - 2)**2*(c + 1)*(c + 7)
Let q = 9 - 5. What is d in -q*d**5 - 10*d + 9*d**5 + 5*d**3 - 4 - 4*d**2 + 8*d**4 + 3*d**3 - 3*d**5 = 0?
-2, -1, 1
Let l(p) be the second derivative of p**5/150 + p**4/30 + p**3/15 - 9*p**2/2 + 8*p. Let k(c) be the first derivative of l(c). Factor k(h).
2*(h + 1)**2/5
Suppose 0*b + b = 4*a - 12, -b = -a + 3. Suppose 4*v - 32 = v - h, b = 4*v + 3*h - 36. Let -11*p**2 - 22*p**2 - 91 + 97 + v*p**3 + 15*p = 0. Calculate p.
-1/4, 1, 2
Let v = -310768/2529 - -1106/9. Let j = 851/1124 - v. Determine p so that j*p**2 + 3/2 - 9/4*p = 0.
1, 2
Let m(l) be the second derivative of 0*l**4 + 0*l**3 - 3/10*l**5 + 0*l**2 + 0 + 1/10*l**6 + 13*l. Let m(t) = 0. Calculate t.
0, 2
Suppose -175 = 5*y - 5*g, 292 - 97 = -5*y + g. Let a be (-160)/y + (-2)/(-7)*-12. Solve -a*h**2 + 3/7*h + 1/7 = 0.
-1/4, 1
Let c(g) = 40*g**2 + 99*g + 54. Let y(m) = m + 6. Let n(t) = -c(t) + 4*y(t). Suppose n(u) = 0. Calculate u.
-2, -3/8
Suppose -8*f**2 + 1 + 0*f**4 - 2*f**2 + 3 + 2*f**4 + 4 = 0. What is f?
-2, -1, 1, 2
Let b(q) be the first derivative of 2/3*q**3 - 2*q**2 - 1/12*q**4 + 5 + 5*q. Let i(p) be the first derivative of b(p). Determine y, given that i(y) = 0.
2
Suppose -3*q + q + 4 = 0. Let y be (1 + -7)*(-3)/q. Determine t, given that -2*t - 8*t**3 - t - t**3 + 3*t**4 + y*t**2 = 0.
0, 1
Determine b so that 23/2*b**4 + 1/2*b**5 + 481/2*b - 215*b**2 + 47*b**3 - 169/2 = 0.
-13, 1
Let f = -239 - -244. Let i(d) be the first derivative of -5/9*d**3 + 0*d + 1/6*d**2 - 1/5*d**f - 1 + 7/12*d**4. Find l such that i(l) = 0.
0, 1/3, 1
Let g = -15 - 2. Let c(o) = 7*o**4 - 19*o**3 - 12*o**2 + 19*o - 29. Let a(k) = 2*k**4 - 6*k**3 - 4*k**2 + 6*k - 10. Let q(n) = g*a(n) + 6*c(n). Factor q(b).
4*(b - 1)**2*(b + 1)*(2*b - 1)
Let i(y) be the first derivative of 0*y + 0*y**5 + 0*y**3 + 0*y**2 - 1/4*y**4 - 30 + 1/6*y**6. Suppose i(x) = 0. What is x?
-1, 0, 1
Let i be 50633/(-55236)*(-4 + (-1 + 3 - 2)). Factor 1/3*z**3 + 7/3*z**2 + i*z + 5/3.
(z + 1)**2*(z + 5)/3
Let d(u) be the first derivative of 5*u - 12 - 16/21*u**3 - 32/7*u**2 - 1/21*u**4. Let b(t) be the first derivative of d(t). Find v, given that b(v) = 0.
-4
Let y(s) be the second derivative of -s**7/126 + 4*s**6/45 - s**5/12 - 25*s**4/18 - 127*s. Suppose y(c) = 0. Calculate c.
-2, 0, 5
Let p = -15 + -145. Let s be -2 + (-8)/(p/52). Factor 1/5*c**2 + s*c + 2/5.
(c + 1)*(c + 2)/5
Let s(t) be th