*(g + 1)**2
Let l(u) be the first derivative of u**5 + 5*u**4/4 - 5*u**3 - 25*u**2/2 - 10*u - 15. Factor l(r).
5*(r - 2)*(r + 1)**3
Let v(q) = -q**2 - 1. Let z(p) = -p**3 + 19*p**2 + 77*p + 63. Let x(a) = 3*v(a) + z(a). Suppose x(t) = 0. Calculate t.
-3, -1, 20
Let l(j) = j**3 + 16*j**2 - 35*j + 22. Let f be l(-18). Find u, given that -10*u**3 - u**4 - 26*u**f + 22*u**4 = 0.
-2, 0
Let m = 70 + -115. Let l = m - -65. Suppose 50/7*f**5 - 16/7 + l*f**4 - 88/7*f - 124/7*f**2 + 38/7*f**3 = 0. Calculate f.
-2, -1, -2/5, 1
Let p = 1789 + -1783. Let t(g) be the first derivative of -1/27*g**p + 1/9*g**4 - 1/9*g**2 + 4/27*g**3 - 2/9*g + 1 - 2/45*g**5. Factor t(b).
-2*(b - 1)**2*(b + 1)**3/9
Suppose p - 5 = -5*q, -q + 4*q + 4*p = -14. Let k be q/5*(8 + -3). Determine s, given that 3*s + 16 + 5*s + 113*s**k - 112*s**2 = 0.
-4
Let u(l) be the third derivative of -3*l**8/112 + 2*l**7/35 + l**6/2 - 23*l**5/10 + 31*l**4/8 - 3*l**3 - 7*l**2 + l. Solve u(s) = 0 for s.
-3, 1/3, 1, 2
Find i such that 28/5*i**3 + 256/5 + 64*i + 2/5*i**4 + 144/5*i**2 = 0.
-4, -2
Let a = 821/7 - 117. Let w(g) be the second derivative of 0*g**4 + 0*g**3 + 1/2*g**6 - 5*g + 0*g**2 + a*g**7 + 3/20*g**5 + 0. Suppose w(b) = 0. Calculate b.
-1, -1/4, 0
Let q(i) = -i**4 - i**2 - 2*i + 2. Let n(p) = 6*p**4 + 5*p**2 + 11*p - 11. Let j be (2/(-10))/1 - (-109)/(-5). Let f(t) = j*q(t) - 4*n(t). Factor f(x).
-2*x**2*(x - 1)*(x + 1)
Let h(w) be the first derivative of -21*w**4/4 + 34*w**3 + 15*w**2/2 + 181. Suppose h(z) = 0. Calculate z.
-1/7, 0, 5
Let o(r) be the third derivative of -r**7/42 - r**6/12 + r**5/4 + 5*r**4/3 + 10*r**3/3 - 80*r**2. Factor o(c).
-5*(c - 2)*(c + 1)**2*(c + 2)
Let z(g) be the third derivative of g**6/30 - 3*g**5/10 + 7*g**4/12 + 2*g**3 - 719*g**2. Suppose z(j) = 0. Calculate j.
-1/2, 2, 3
Let w be -2 + -14*(-3)/6. Suppose 3*t = -6, 2*t = -x + w*x - 16. Let q**3 + q**x + 3*q**2 + q**3 = 0. Calculate q.
-1, 0
Suppose -227*a**2 + 1197*a**2 - 5968*a - 35*a**3 - 1960 - 612*a = 0. What is a?
-2/7, 14
Let m be 9/(-12)*(-3 + -17). Suppose 0 = -4*t + m + 13. Factor -27*w - 7 + 18*w**2 - 3*w**3 + t.
-3*w*(w - 3)**2
Let j(p) be the third derivative of 23*p**2 + 0*p**3 + 1/28*p**4 + 0 + 1/420*p**6 + 0*p + 2/105*p**5. Factor j(u).
2*u*(u + 1)*(u + 3)/7
Factor 204/5*w**2 + 1/10*w**3 + 1257728/5 + 27744/5*w.
(w + 136)**3/10
Let s(v) = v**4 - 2*v**2 + v. Let b(w) = 10*w**4 + 3*w**3 - 23*w**2 + 10*w. Let c(l) = -b(l) + 4*s(l). Suppose c(q) = 0. Calculate q.
-2, 0, 1/2, 1
Let h = 3788 - 3785. Solve -1/5*k**5 + 1/5*k**h + 0*k**4 + 0 + 0*k**2 + 0*k = 0.
-1, 0, 1
Let a(n) = -13*n**3 - 49*n**2 - 13*n. Let x be (-2)/(-4 - (-14)/4). Let s(f) = 4*f**3 + 16*f**2 + 4*f. Let h(o) = x*a(o) + 11*s(o). Find q, given that h(q) = 0.
-2, -1/2, 0
Let p = -4/89 + 109/445. What is w in 0 - 1/5*w + 0*w**2 + p*w**3 = 0?
-1, 0, 1
Let r be (-3)/(9/(-6))*(0 - 1). Let w be 4 + -3 - 1 - r. Factor -2/7*q**3 - 6/7*q**w - 6/7*q - 2/7.
-2*(q + 1)**3/7
Factor -6707*k**2 + 3352*k**2 - k**3 - 6*k + 3362*k**2.
-k*(k - 6)*(k - 1)
Let r(w) = 3*w**2 + 374*w - 34223. Let a(y) = 11*y**2 + 1124*y - 102668. Let t(i) = 4*a(i) - 14*r(i). Factor t(k).
2*(k - 185)**2
Suppose 0 = 27*z - 36 - 72. Let h(w) be the second derivative of 8*w - 1/108*w**z + 2/27*w**3 + 0 - 1/6*w**2. Let h(t) = 0. What is t?
1, 3
Let v = -32 + 11. Let n be (-16)/12*v*1. Factor -1/4 - 128*f**4 - n*f**2 - 17/4*f - 88*f**3 - 64*f**5.
-(f + 1)*(4*f + 1)**4/4
Let j(i) be the third derivative of i**5/180 + i**4/72 - 13*i**2 + 16*i. Let j(n) = 0. What is n?
-1, 0
Suppose 0 = -k - k - 3*i + 22, 4*i = 24. Factor 0 + 8/7*s**k + 4/7*s**3 + 4/7*s.
4*s*(s + 1)**2/7
Solve 17*o**2 + 34 - 13*o**2 - 300*o + 262 = 0 for o.
1, 74
Suppose 2*s - 9 = -5*m + 5*s, -3*s = 2*m - 12. Let c(d) be the second derivative of 0*d**2 + 3*d + 0 - 1/42*d**4 + 1/70*d**5 + 0*d**m. Let c(x) = 0. What is x?
0, 1
Suppose v + 6 = -5*n, 19 = -3*v + 5*n + 41. Let r(t) be the first derivative of 1 - 1/20*t**5 + 1/6*t**3 - 1/16*t**v + 0*t**2 + 0*t. Factor r(o).
-o**2*(o - 1)*(o + 2)/4
Suppose -26*l + 73 + 31 = 0. Let b(i) be the first derivative of -1/14*i**2 - l + 0*i - 1/21*i**3. Factor b(f).
-f*(f + 1)/7
Let f(y) = -9*y**4 + 38*y**3 - 20*y**2 - 4*y + 4. Let b(r) = 26*r**4 - 115*r**3 + 59*r**2 + 11*r - 11. Let w(s) = 4*b(s) + 11*f(s). Let w(a) = 0. What is a?
0, 2/5, 8
Let h be (93 - 95)/((-2)/4). Let y(g) be the second derivative of -8*g + 1/30*g**h + 1/15*g**3 + 0 - 2/5*g**2. Factor y(p).
2*(p - 1)*(p + 2)/5
Let t(h) = -2*h**5 - 2*h**4 - h**2 + 2*h + 3. Let q(z) = -z**5 - z**4 + z**3 + 1. Let v(p) = -3*q(p) + t(p). Factor v(j).
j*(j - 1)**2*(j + 1)*(j + 2)
Let i(a) be the second derivative of 5/21*a**3 + 1/84*a**4 + 25/14*a**2 + 5 - 2*a. Factor i(c).
(c + 5)**2/7
Let z be (-2)/(-10) + (-21)/(-70). Determine f, given that 1/2*f**5 + 1/2*f**4 - 1/2*f**2 + 0*f - z*f**3 + 0 = 0.
-1, 0, 1
Let l = -1865 - -1867. Let f(k) be the first derivative of 0*k + 10 - 1/2*k**4 - 2/3*k**3 + 2*k**l. Determine h, given that f(h) = 0.
-2, 0, 1
Let l(z) be the third derivative of -1/105*z**7 + 0*z**4 + 0*z - 7*z**2 + 0 + 1/15*z**6 - 2/15*z**5 + 0*z**3. Let l(k) = 0. Calculate k.
0, 2
Factor -654*x**2 + 225 + 60*x - 2*x**4 - x**4 + 269*x**2 + 259*x**2 + 36*x**3.
-3*(x - 5)**2*(x - 3)*(x + 1)
Let y(s) be the second derivative of -s**9/15120 + s**7/840 - s**6/360 + s**4 + 2*s. Let k(x) be the third derivative of y(x). Factor k(f).
-f*(f - 1)**2*(f + 2)
Let s = 38 - 33. Suppose 3*p - 3*l + 20 = s*p, -4*p = -5*l + 4. Determine z, given that -2/3*z - 2/3*z**5 + 2/3*z**p + 4/3*z**3 - 4/3*z**2 + 2/3 = 0.
-1, 1
Let v(q) = q**2 - q - 1. Let h be v(-2). Let m(x) = -x**2 + 6*x - 2. Let l be m(h). Let b**3 - 4*b**4 + l*b**4 + 3*b**3 + 3*b**4 = 0. Calculate b.
-2, 0
Suppose 3*z = -z + 3*f + 20, 5*z - 26 = 4*f. Suppose -11*t**2 + 22*t**2 - 6*t**z = 0. Calculate t.
0
Factor 86/5*s**2 - 8/5 + 168/5*s.
2*(s + 2)*(43*s - 2)/5
Let b(g) = -g**2 + 94*g - 2506. Let q(y) = -3*y**2 + 283*y - 7517. Let i(n) = -17*b(n) + 6*q(n). Solve i(d) = 0 for d.
50
Let v be (5/(-3))/(290/(-232)). Find o such that 2/3*o**5 + 0*o - 2/3*o**3 + 4/3*o**4 - v*o**2 + 0 = 0.
-2, -1, 0, 1
Let g = 752/1503 - 1/3006. What is u in 3/2*u**3 + 1/2*u + 0 - 3/2*u**2 - g*u**4 = 0?
0, 1
Let v(o) be the second derivative of -16/21*o**3 - 20/21*o**4 - 2/21*o**6 + 0*o**2 - 33/70*o**5 - 1/147*o**7 - 5*o + 0. What is y in v(y) = 0?
-4, -1, 0
Let z(c) = 4*c - 13. Let g = 66 + -62. Let p be z(g). Determine t so that 0 + 1/4*t - 4*t**4 + 6*t**p - 9/4*t**2 = 0.
0, 1/4, 1
Factor 24/11*k + 0 - 2/11*k**2.
-2*k*(k - 12)/11
Let l(g) = 13*g - 13. Let i be l(1). Let o(y) be the third derivative of 0*y**3 + 2/105*y**5 + 0*y**4 + 0 + 5*y**2 + i*y - 1/210*y**6. Solve o(h) = 0 for h.
0, 2
Let h(s) be the second derivative of s**7/126 - s**6/15 + 3*s**5/20 + s**4/9 - 2*s**3/3 - 760*s. Factor h(m).
m*(m - 3)*(m - 2)**2*(m + 1)/3
Let m = 66 - 61. Let j(o) be the third derivative of 0 - 3*o**2 + 2/15*o**3 - 7/300*o**m - 1/200*o**6 + 0*o + 0*o**4. Let j(i) = 0. What is i?
-2, -1, 2/3
Find n such that 9*n - 23*n - 12*n**3 - 42*n**2 + 9*n**4 + 9 - 3*n + 5*n = 0.
-1, 1/3, 3
Suppose 4*y = 11 + 9, -3*q - 3*y = -21. Factor 22*p**4 + 16 + 14*p**4 - 24*p**3 + 0*p**4 - 44*p**q + 16*p.
4*(p - 1)**2*(3*p + 2)**2
Let j(d) be the second derivative of d**5/100 + 17*d**4/4 + 1445*d**3/2 + 122825*d**2/2 + 4*d + 3. Determine z, given that j(z) = 0.
-85
Let r = -270 + 287. Suppose -4*q - 17 + r = 0. Factor -2/5*l**3 + 0 - 6/5*l**2 + q*l.
-2*l**2*(l + 3)/5
Suppose 62 = -56*f + 62. Let 1/4*d**4 + 0*d + f*d**3 + 0 - 1/4*d**2 = 0. Calculate d.
-1, 0, 1
Let w be (-10)/(-4)*(-128)/(-32). Let o be (-4)/(-32) + w/176. Determine b, given that 0*b + 6/11*b**3 + o*b**2 + 6/11*b**4 + 0 + 2/11*b**5 = 0.
-1, 0
Let o(d) be the second derivative of d**6/15 + 3*d**5/10 - 23*d**4/6 + 11*d**3 - 14*d**2 + 13*d + 4. Factor o(h).
2*(h - 2)*(h - 1)**2*(h + 7)
Suppose -4*x = 16, 35 + 5 = 3*i - x. Factor i*c + c**2 + 30 + 1 + 5.
(c + 6)**2
Let n = -2736 - -2736. Factor 2/9*p**2 + 0*p + n.
2*p**2/9
Let p(g) be the first derivative of 0*g**2 + 1/4*g**4 + 0*g - 13 + 1/3*g**3. Factor p(j).
j**2*(j + 1)
Let z(p) = p**2 - p - 20. Let c be z(5). Let g(i) be the first derivative of 1/2*i**2 + c*i + 3/4*i**4 + 6 + 1/5*i**5 + i**3. Factor g(n).
n*