4/3 + 15. Factor p(i).
4*i**3*(i - 1)/3
Let d be 4*(92/(-16) - -2). Let a = d + 18. Factor 4/5*z + 6/5*z**2 + 1/5 + 4/5*z**a + 1/5*z**4.
(z + 1)**4/5
Suppose 0 = -3*j - 5*q + 31, -4*j + 21 = -j + 3*q. Let a(h) be the first derivative of 0*h + 2/3*h**j + 1 - 5/6*h**4 - 2/3*h**3. Factor a(m).
-2*m*(m + 1)*(5*m - 2)/3
Let w(q) be the second derivative of q**4/33 + 5*q**3/33 + 3*q**2/11 - 3*q. Factor w(i).
2*(i + 1)*(2*i + 3)/11
Let s be (-2)/(-1)*12/8. What is i in -i**5 - i**5 + 0*i**2 - i**3 + 2*i + i**5 + 3*i**2 - s*i**4 = 0?
-2, -1, 0, 1
Let k be (-10)/(-26)*(7 - 429/65). Find u such that -10/13*u - 8/13*u**2 - k*u**3 - 4/13 = 0.
-2, -1
Let g be 6 - (4 + -2)/1. Factor 2*n**3 + g*n**3 - 5*n**3 - n.
n*(n - 1)*(n + 1)
Let m(k) be the second derivative of k**5/75 - k**4/15 + 2*k**3/15 - 3*k**2 - 4*k. Let j(u) be the first derivative of m(u). Let j(a) = 0. Calculate a.
1
Suppose 0 = -5*f - 2*x - 0*x + 16, -3*x + 1 = -4*f. Let i(r) be the third derivative of 0 - r**f + 0*r - 1/5*r**4 + 1/20*r**5 - 2/5*r**3. Solve i(y) = 0.
-2/5, 2
Let h(b) = 3*b**2 - 7*b - 13. Let u(i) = 2*i**2 - 3*i - 6. Let c(o) = 3*h(o) - 5*u(o). Factor c(t).
-(t + 3)**2
Let b be (-26)/(-120) + (-4)/10. Let j = 3/20 - b. Let 0*g + 0 - 1/3*g**3 - j*g**2 = 0. Calculate g.
-1, 0
Let a(n) = -3 + 1 + 0 - n. Let u be a(-4). Determine j so that -u*j**4 - 17*j + 3*j + 0 + 0 - 4 - 10*j**3 - 18*j**2 = 0.
-2, -1
Determine j so that -8/11*j + 8/11*j**2 + 0 + 26/11*j**3 + 10/11*j**4 = 0.
-2, -1, 0, 2/5
Let x(f) be the third derivative of -2*f**7/735 - f**6/210 + f**5/35 + 5*f**4/42 + 4*f**3/21 + 3*f**2. Factor x(y).
-4*(y - 2)*(y + 1)**3/7
Let m = -6 + 12. Factor -10*n - 10*n - m + 3*n**3 + 11*n.
3*(n - 2)*(n + 1)**2
Suppose 5*t = 4*s + 16, -2*t - 16 = 2*t + 4*s. Suppose q + 1 = 3. Solve -2*n**3 + t*n**2 - 2*n**4 + 2*n + 0*n**4 + 2*n**q = 0 for n.
-1, 0, 1
Let c = 2/447 - -2978/447. Determine s so that -c*s**2 + 16/3 - 8/3*s - 2*s**3 = 0.
-2, 2/3
Let j be 0/((2 - 0) + 0). Suppose 0 = -r + 3 - j. Factor -2*x**4 + x**2 + r*x**2 + 5 - 7.
-2*(x - 1)**2*(x + 1)**2
Let w = 129/250 - 2/125. Factor -w*v - 1/4*v**3 + 3/4*v**2 + 0.
-v*(v - 2)*(v - 1)/4
Let k(j) = -3*j + 4*j**2 - 7 - j + j**2 + 8*j. Let p(t) = -t**2 - t + 1. Let h(c) = -k(c) - 6*p(c). Factor h(q).
(q + 1)**2
Let m(o) be the second derivative of o**7/315 + o**6/225 - o**5/75 - o**4/45 + o**3/45 + o**2/15 - 19*o - 3. Find i, given that m(i) = 0.
-1, 1
Let q be 0 + -5*14/(-245). Determine n, given that 0 - 1/7*n**3 + 0*n + 0*n**2 + q*n**4 - 1/7*n**5 = 0.
0, 1
Let t(l) = -4*l**3 + 6*l**2 - 2*l + 6. Let u(d) = 3*d**3 - 5*d**2 + 2*d - 5. Let n(c) = 5*t(c) + 6*u(c). Factor n(h).
-2*h*(h - 1)*(h + 1)
Let v(a) be the third derivative of 0 - 1/180*a**6 + 0*a**3 + 0*a**7 - 5*a**2 + 0*a**5 + 0*a + 1/504*a**8 + 0*a**4. What is u in v(u) = 0?
-1, 0, 1
Let v(c) = 7*c**2 + 2*c - 6. Let p(k) = 8*k**2 + 2*k - 7. Suppose 3*w = 2*d - 24, -2*w - 36 = -4*d + w. Let y(m) = d*p(m) - 7*v(m). Factor y(t).
-t*(t + 2)
Let y(n) = 14*n**4 - 9*n**3 - 91*n**2 + 54*n + 20. Let o(d) = 155*d**4 - 100*d**3 - 1000*d**2 + 595*d + 220. Let k(i) = 6*o(i) - 65*y(i). What is q in k(q) = 0?
-2, -1/4, 1, 2
Let z be 2/(-15) + 1173/3060. Factor -2*o + 1/2*o**3 + 0 - z*o**4 + o**2.
-o*(o - 2)**2*(o + 2)/4
Let r(n) be the second derivative of n**7/147 - n**6/35 + n**5/35 + 29*n. Solve r(d) = 0.
0, 1, 2
Let k = -23 - -23. Factor -4/7*p + 2/7*p**4 - 6/7*p**2 + 0*p**3 + k.
2*p*(p - 2)*(p + 1)**2/7
Let x(b) be the third derivative of b**8/112 - b**7/70 - b**6/8 + b**5/20 + b**4 + 2*b**3 + 6*b**2. Find m such that x(m) = 0.
-1, 2
Suppose -r - b = 8, -2*r - b = 2*r + 23. Let j(k) = -k**2 - 6*k - 1. Let a be j(r). What is z in 2/7*z**5 - 2/7*z**3 + 0*z**a + 0*z + 0 + 0*z**2 = 0?
-1, 0, 1
Factor -3/2*o**2 + 0 - 3/2*o.
-3*o*(o + 1)/2
Let k(o) = 2*o**5 - 15*o**4 + 10*o**3 + 3*o**2 - 3*o. Let l(r) = -25*r**5 + 195*r**4 - 130*r**3 - 40*r**2 + 40*r. Let t(j) = -40*k(j) - 3*l(j). Factor t(v).
-5*v**3*(v - 2)*(v - 1)
What is g in 1/4*g + 1/4*g**4 + 1/2 - 1/4*g**3 - 3/4*g**2 = 0?
-1, 1, 2
Let s(v) be the second derivative of -v**5/60 + v**4/3 - 8*v**3/3 - 5*v**2/2 + 8*v. Let n(x) be the first derivative of s(x). Solve n(z) = 0 for z.
4
Let q be 100/56*153/(-15). Let b = 593/7 + q. Let 44*v**4 - 8*v**5 - 169/2*v**3 + 2 + b*v**2 - 20*v = 0. What is v?
1/4, 1, 2
Suppose -12*v - 8 = -14*v. Factor -1/4*l**5 - 1/2*l**2 + 0 + 1/2*l**v + 1/4*l + 0*l**3.
-l*(l - 1)**3*(l + 1)/4
Let j(y) = 2*y**4 + 8*y**3 + 10*y**2 + 2*y - 2. Let s(x) = 2*x**4 + 8*x**3 + 10*x**2 + x - 3. Let u(c) = -3*j(c) + 2*s(c). Determine z so that u(z) = 0.
-2, -1, 0
Let -2/3*a**2 + 0*a + 2*a**3 + 0 + 2/3*a**5 - 2*a**4 = 0. Calculate a.
0, 1
Let f = -47 + 44. Let b be 2*(-3)/90*f. Factor 1/5*g**4 + 0*g + 0 + 1/5*g**5 - b*g**3 - 1/5*g**2.
g**2*(g - 1)*(g + 1)**2/5
Suppose -3*z = -3*h + 12, -z = 2*h - 0*z + 4. Let c(f) be the second derivative of h - 1/3*f**3 + 1/6*f**4 + 1/10*f**5 - f**2 + f. Find l, given that c(l) = 0.
-1, 1
Let v be 30/500*94/18. Let i = v + 1/50. Solve -1/3*c**2 - 1/3*c + i*c**4 + 1/3*c**3 + 0 = 0 for c.
-1, 0, 1
Suppose -4*i + 2*y - 3*y = -4, -24 = -2*i + 5*y. What is r in 1/3*r**4 + 0*r**i + 0 + 0*r + 1/3*r**3 = 0?
-1, 0
Let 1/5*k**2 + 0 + 2/5*k - 1/5*k**3 = 0. Calculate k.
-1, 0, 2
Let j be 25/9 - 82/(-369). Determine u, given that 0 + 7/6*u**j - 1/6*u + 2/3*u**4 + 1/3*u**2 = 0.
-1, 0, 1/4
Let i be (-600)/528 + 3/2. Find p, given that 16/11*p**4 - 2/11*p - 8/11*p**3 + 10/11*p**5 - 20/11*p**2 + i = 0.
-1, 2/5, 1
Suppose -8*c - c + 18 = 0. What is k in -4/7 + 2/7*k**3 - 2/7*k + 4/7*k**c = 0?
-2, -1, 1
Suppose 0*i + 5*i = 20. Let p be (-1 - 2) + 14/i. Determine z so that 1/2*z**4 + 0 - p*z**2 + 0*z**3 + 0*z = 0.
-1, 0, 1
Let q = 5/13 - -11/39. Let u be (-2)/(-8)*(4/3)/1. Factor -u*b + 0 - q*b**2 - 1/3*b**3.
-b*(b + 1)**2/3
Let p = 8 - 6. Factor -2*s**p - 10*s + 10*s.
-2*s**2
Let m(t) be the third derivative of -t**8/80640 + t**6/2880 - t**5/15 - t**2. Let i(f) be the third derivative of m(f). Solve i(c) = 0.
-1, 1
Let n(x) be the second derivative of x**6/30 - x**4/6 + x**2/2 + 26*x. Factor n(l).
(l - 1)**2*(l + 1)**2
Let c be -2 - (-206)/150 - 32/(-48). Let b(n) be the first derivative of 1/5*n - c*n**5 - 2 + 1/10*n**4 + 0*n**3 - 1/5*n**2. Find a, given that b(a) = 0.
-1, 1
Let n = 1 + 1. Let a be 0/n + (3 - 1). Determine s so that a*s**2 + 4*s - 2*s**4 - s**3 - 2*s - s**3 = 0.
-1, 0, 1
Let v = 160 - 479/3. Find m, given that -4*m**4 + v*m**2 + 2/3 + 7/3*m - 16/3*m**3 = 0.
-1, -1/2, 2/3
Let r(y) = 1. Suppose -2 - 2 = -2*g. Let m(k) = -k**2 - 2*k + 2. Let p(h) = g*m(h) - 6*r(h). Solve p(b) = 0.
-1
Let j(r) be the first derivative of 5*r**6/6 + r**5 + 33. Factor j(c).
5*c**4*(c + 1)
Let z(g) = -2*g**3 - 17*g**2 + 6*g - 27. Let i be z(-9). Factor 2/15*j + 2/15*j**4 + i + 2/5*j**3 + 2/5*j**2.
2*j*(j + 1)**3/15
Let f(t) be the third derivative of -t**6/360 + t**4/72 + t**2. Let f(j) = 0. Calculate j.
-1, 0, 1
Let -50/7 - 2/7*v**2 + 20/7*v = 0. Calculate v.
5
Let t(k) = -7*k**2 + 4*k - 4. Let s(d) = -15*d**2 + 8*d - 8. Let a be ((-1)/(-1))/((-2)/26). Let y(n) = a*t(n) + 6*s(n). Suppose y(x) = 0. What is x?
2
Let l(f) be the first derivative of 5*f**3/3 + 3*f**2/2 - 2*f - 5. Suppose l(d) = 0. Calculate d.
-1, 2/5
Let b = -61/16 + 215/48. Suppose 0 - 13/3*o**4 + 5/3*o**5 + 3*o**3 - b*o + 1/3*o**2 = 0. Calculate o.
-2/5, 0, 1
Let i(q) be the third derivative of -1/350*q**7 + 0*q - 7/40*q**4 - 1/5*q**3 + 4*q**2 - 1/40*q**6 + 0 - 9/100*q**5. Factor i(p).
-3*(p + 1)**3*(p + 2)/5
Let o(p) = 7*p**5 + 16*p**4 + 9*p**3. Let q(w) = -8*w**5 - 16*w**4 - 8*w**3. Let u(v) = 4*o(v) + 6*q(v). Factor u(b).
-4*b**3*(b + 1)*(5*b + 3)
Suppose 4*n - 3*j = 5, 5*j = 2*n + n + 10. Let g(q) be the third derivative of -1/18*q**3 + q**2 + 0 + 0*q - 1/36*q**4 - 1/180*q**n. Factor g(h).
-(h + 1)**2/3
Let c(o) be the third derivative of -o**5/15 - o**4 + 2*o**2. Factor c(v).
-4*v*(v + 6)
Let g = 547/5 + -109. Factor g*d**3 + 0*d**2 + 0 - 2/5*d.
2*d*(d - 1)*(d + 1)/5
Factor 180*y + 79*y**3 + 56*y**3 + 270*y**2 + 7 + 33.
5*(3*y + 2)**3
Let g(x) be the first derivative of 8*x + 1/10*x**5 + 0*x**4 + 2 - 4/3*x**3 + 0*x**2. Factor g(q).
(q - 2)**2*(q + 2)**2/2
Suppose 0 + 1/4*y**5 - 1/4*y**3 - 1/2*y**2 + 0*y + 1/2*y**4 = 0. Calculate y.
-2, -1, 0, 1
Let