 100*x - 55 + 68*x**2 - 9 - 254*x.
4*(x - 10)*(17*x + 2)
Factor 11/4 + 1/4*l**3 - 1/4*l - 11/4*l**2.
(l - 11)*(l - 1)*(l + 1)/4
Let c(p) be the second derivative of 3/10*p**5 - 1/10*p**6 + 0*p**2 + 8*p - 1/4*p**4 + 0 + 0*p**3. Factor c(f).
-3*f**2*(f - 1)**2
Find s, given that -44/9*s**2 - 2/9*s**4 - 16/3*s - 16/9*s**3 - 2 = 0.
-3, -1
Suppose -24*z - 10 = -29*z. Factor -4*s + 3*s**2 + 4*s - 3*s - 3*s**3 + 3*s**z.
-3*s*(s - 1)**2
Let h(j) be the third derivative of j**7/70 - j**5/4 + 2*j**3 + 3*j**2 - 19*j. Determine n, given that h(n) = 0.
-2, -1, 1, 2
What is t in -25/3 - 166/3*t**2 - 16/3*t**3 - 4/3*t**5 - 140/3*t + 31/3*t**4 = 0?
-1, -1/4, 5
Suppose -69*m + 22*m**2 + 22*m**2 - 18 - 84*m**2 + 19*m**2 = 0. Calculate m.
-3, -2/7
Let c(z) be the second derivative of 0 + 10*z + 1/18*z**4 + 7/18*z**3 + 1/2*z**2. Factor c(s).
(s + 3)*(2*s + 1)/3
Let z be -1*(-4 + 294/77). Factor 0 + 2/11*q**2 - z*q.
2*q*(q - 1)/11
Suppose 4*w - 10 = -2. Let p(j) be the third derivative of -6*j**w + 0*j + 1/50*j**5 + 1/60*j**4 + 0 + 1/100*j**6 + 1/525*j**7 + 0*j**3. Factor p(g).
2*g*(g + 1)**3/5
Let i(l) be the second derivative of -l**5/20 - 25*l**4/4 - 481*l**3/2 - 1369*l**2/2 + 20*l - 5. Factor i(k).
-(k + 1)*(k + 37)**2
Let i be (6 + 1 - 3) + 8/(-5). Let g(t) be the first derivative of -11 - i*t**2 + 12/5*t + 3/5*t**3. Factor g(d).
3*(d - 2)*(3*d - 2)/5
Let f(i) be the third derivative of 0*i**5 + 0*i**7 + 1/48*i**4 - 6*i**2 + 0*i + 0 + 1/672*i**8 + 0*i**3 - 1/120*i**6. Solve f(c) = 0.
-1, 0, 1
Let i(m) = -2*m + 12. Let w be i(7). Let n(h) = 4*h**3 - 9*h**2 - 3*h. Let y(p) = p**3 - p**2. Let c(x) = w*n(x) + 10*y(x). Find k, given that c(k) = 0.
-3, -1, 0
Let j(z) be the third derivative of -1/315*z**7 + 0*z**3 - 2*z**2 - 1/180*z**6 + 0*z**4 + 1/45*z**5 + 3 + 0*z. Factor j(k).
-2*k**2*(k - 1)*(k + 2)/3
Suppose 40*s**3 - 16 + 28/3*s**4 - 100/3*s**2 - 16/3*s**5 - 224/3*s = 0. Calculate s.
-2, -1, -1/4, 2, 3
Suppose -4/7*v**5 - 8/7*v**4 + 32/7*v**2 + 0 + 16/7*v**3 + 0*v = 0. What is v?
-2, 0, 2
Let x be (-3 - (-84)/30)*5/(-3). Let t = 206/3 + -68. Factor x*j**3 - t - 1/3*j + 2/3*j**2.
(j - 1)*(j + 1)*(j + 2)/3
Let l(w) = 14*w**3 + 26*w**2 + 35*w + 23. Let h = 41 - 37. Let g(c) = 5*c**3 + 9*c**2 + 12*c + 8. Let t(o) = h*l(o) - 11*g(o). Find f, given that t(f) = 0.
-2, -1
Let m = -931 + 937. Let d(l) be the third derivative of 0 + 1/10*l**5 + 0*l - 9*l**2 - 1/40*l**m + 1/8*l**4 - l**3. Solve d(w) = 0.
-1, 1, 2
Let z(f) be the third derivative of 2*f**3 + 4/15*f**5 + 0*f - 1/12*f**6 + 0 - 25*f**2 + 19/12*f**4. What is b in z(b) = 0?
-1, -2/5, 3
Factor 5/4*y**2 + 39/4 + 49*y.
(y + 39)*(5*y + 1)/4
Find g, given that -3*g**2 + 3*g**3 + 0*g**4 - 6*g**4 + 3*g**4 - 9*g**3 = 0.
-1, 0
What is p in -1/3*p**2 - 10*p + 31/3 = 0?
-31, 1
Let i(f) be the second derivative of -f**5/70 + f**4/21 + 8*f**3/21 + 6*f. Factor i(h).
-2*h*(h - 4)*(h + 2)/7
Let w(p) = p**5 + p**3 + p**2 + 1. Let a(b) = 2*b**5 - 18*b**4 - 62*b**3 + b**2 + 1. Let d(m) = a(m) - w(m). Factor d(q).
q**3*(q - 21)*(q + 3)
Suppose 0 = -2*p + 3*p - a + 5, 4*p - 5*a + 25 = 0. Let b be p + -3 - (2 - 5). Determine t, given that -5*t - 3*t**2 + t + 7*t**2 + b*t**2 = 0.
0, 1
Factor -49*r + 175*r + 3857 - 2534 + 3*r**2.
3*(r + 21)**2
Let a(l) = -l**2 + 13*l + 2. Let j be a(13). Determine n so that 6*n**4 - 10*n + 20*n - 2*n**2 - n**j - 19*n + 9*n**3 - 3 = 0.
-1, -1/2, 1
Let j(b) be the third derivative of -b**6/300 + b**5/30 + b**4/15 - 4*b**3/3 - 16*b**2. Suppose j(n) = 0. What is n?
-2, 2, 5
Let j(n) be the third derivative of 0*n - 1/45*n**5 + n**2 + 0*n**3 + 0 - 2/9*n**4. Factor j(d).
-4*d*(d + 4)/3
Let r(l) = -4*l**2 - l**3 + l**2 - l**4 + 8*l**4. Let x(q) = -36*q**4 + 4*q**3 + 16*q**2. Let v(c) = 16*r(c) + 3*x(c). Solve v(d) = 0.
0, 1
Let n(p) = p**4 + p**3 + p**2 + p + 1. Let x(c) = c**5 + 16*c**4 + 20*c**3 + 18*c**2 + 13*c + 11. Let f(h) = 22*n(h) - 2*x(h). What is i in f(i) = 0?
-2, -1, 0
Factor 2/3*b**4 + 0*b + 0*b**2 + 4/3*b**3 + 0.
2*b**3*(b + 2)/3
Let o(n) be the third derivative of -n**6/720 - 7*n**5/180 - 5*n**4/12 - 2*n**3 + 161*n**2. Factor o(j).
-(j + 2)*(j + 6)**2/6
Let f(z) be the third derivative of -z**8/64 - z**7/140 + 7*z**6/160 + z**5/40 - 90*z**2 + 2. Let f(t) = 0. Calculate t.
-1, -2/7, 0, 1
Let g(z) be the third derivative of z**5/360 + 7*z**4/18 + 55*z**3/36 - 7*z**2 - z. Find m such that g(m) = 0.
-55, -1
Suppose 35*d = 19*d + 80. Let n(a) be the second derivative of -2/3*a**2 + 5/9*a**3 + 1/30*a**d + 0 - 2/9*a**4 - a. Factor n(x).
2*(x - 2)*(x - 1)**2/3
Let o(s) be the second derivative of -s**5/5 + 4*s**4/3 + 56*s**3/3 + 64*s**2 + 14*s - 3. Factor o(m).
-4*(m - 8)*(m + 2)**2
Let z(l) be the first derivative of 2*l**3/33 + 3*l**2/11 - 137. Solve z(p) = 0 for p.
-3, 0
Suppose 60 = 2*k + k. Factor -54*i + 14*i - k + 8 - 3*i**2 + 28*i.
-3*(i + 2)**2
Let m = -1/102 - -35/102. Factor 0*j + 0*j**2 + 0 + m*j**3 - 2/3*j**4 + 1/3*j**5.
j**3*(j - 1)**2/3
Factor -44*b**3 + 15*b**3 - 10*b**4 + 33*b**3.
-2*b**3*(5*b - 2)
Let h(y) be the third derivative of y**6/120 - y**5/20 - y**4/12 + 3*y**3/2 - 112*y**2. Let q be h(3). Factor 0*k - 2/7*k**4 + 4/7*k**5 + 0 + 0*k**2 - 2/7*k**q.
2*k**3*(k - 1)*(2*k + 1)/7
Factor 4/3*c**2 + 0 - 40/3*c.
4*c*(c - 10)/3
Let s(l) be the third derivative of 0*l + 0 + 0*l**4 - 1/180*l**6 - 7/6*l**3 - l**2 - 1/60*l**5. Let h(f) be the first derivative of s(f). Factor h(w).
-2*w*(w + 1)
Suppose 2*a + 52 = 56. Determine o, given that -5*o**a - 9 - 5*o + 8 + 5 + 26 = 0.
-3, 2
Factor 18*j - 3*j**3 - 11 - 33*j**2 + 2 - 18 - 75*j.
-3*(j + 1)**2*(j + 9)
Let x be (16/10)/(((-72)/20)/(-18)). Let m(g) be the third derivative of 0*g**4 + x*g**2 + 0*g**3 + 1/60*g**6 + 0 + 0*g + 1/30*g**5. Factor m(q).
2*q**2*(q + 1)
Let n(k) be the third derivative of -2*k**7/105 - 11*k**6/30 + 4*k**5/5 - 505*k**2. Factor n(l).
-4*l**2*(l - 1)*(l + 12)
Let i(h) = 44*h**2 + 160*h - 626. Let s(k) = -10*k**2 - 40*k + 156. Let u(q) = 6*i(q) + 26*s(q). Factor u(w).
4*(w - 15)*(w - 5)
Let a(u) be the third derivative of 0*u**3 + 7/240*u**6 + 1/420*u**7 + 0*u + 1/8*u**5 + 0 - 12*u**2 + 3/16*u**4. Find o such that a(o) = 0.
-3, -1, 0
Suppose 15 = -y + 4*y. Let g be ((1 - 2) + y)*1. Factor 0*h - 2/5*h**3 + 0 + 0*h**2 + 2/5*h**5 + 0*h**g.
2*h**3*(h - 1)*(h + 1)/5
Let y = -6 - -9. Suppose 0 = y*s - 8*s + 15. Factor 9*o**2 - 18*o**2 + 3*o**4 + 0*o**3 - 6*o**s + 12 + 12*o.
3*(o - 2)**2*(o + 1)**2
Let v(m) be the third derivative of -1/24*m**6 + 6*m**2 + 0 - 75/8*m**4 - m**5 - 125/3*m**3 + 0*m. Suppose v(i) = 0. Calculate i.
-5, -2
Let t(j) = -5*j**5 - 4*j**4 + 6*j**3 - 5*j. Let v(q) = -5*q**5 - 3*q**4 + 7*q**3 - 5*q. Let r(p) = 3*t(p) - 4*v(p). Factor r(g).
5*g*(g - 1)**2*(g + 1)**2
Let b(o) be the second derivative of -o**5/270 + o**4/108 + 2*o**3/27 + 3*o**2/2 + 5*o. Let n(z) be the first derivative of b(z). Solve n(l) = 0.
-1, 2
Let x be (10/8)/((-37)/(-148)). Solve -46/9*h**2 + 0 - 26/9*h**4 - 4/9*h**x - 4/3*h - 56/9*h**3 = 0.
-3, -2, -1, -1/2, 0
Let s(h) be the first derivative of -2*h**5/5 - 4*h**4 - 14*h**3 - 22*h**2 - 16*h - 21. Factor s(i).
-2*(i + 1)**2*(i + 2)*(i + 4)
Let o = -50380/9 - -5598. Factor 5/9*t**2 + 1/3*t - o.
(t + 1)*(5*t - 2)/9
Let n be (-205)/(-35) + -5 - 40/(-35). Suppose 0 + 3/7*h + 1/7*h**n = 0. What is h?
-3, 0
Suppose -113*h = -120*h + 35. Let q(s) be the second derivative of 1/100*s**h + 0*s**2 - 1/15*s**3 - 4*s + 1/60*s**4 + 0. Factor q(w).
w*(w - 1)*(w + 2)/5
Determine b, given that -1/3*b**3 - 17*b - 20/3*b**2 + 0 = 0.
-17, -3, 0
Let v(k) = 3*k - 4*k + 1 + 6*k**2 + 4*k. Let o be v(-1). Solve -5*r**4 + 3*r**3 + r**2 + r**5 + 6*r**o + 2*r**4 = 0.
-1, 0
Let q(y) be the third derivative of 1/105*y**5 + 1/42*y**4 + 0 - 4/21*y**3 + 0*y + 6*y**2. Find g, given that q(g) = 0.
-2, 1
Factor 20/7*p**3 + 2/7*p**4 + 50/7*p**2 + 0 + 0*p.
2*p**2*(p + 5)**2/7
Let n be 2/((-16)/(-62))*244/(-183). Let j = 127/12 + n. Suppose 1/2*m**4 + 0*m + 1/4*m**3 + 0 + 0*m**2 + j*m**5 = 0. What is m?
-1, 0
Let z = -28 - -10. Let k = z - -236/13. Factor 10/13*n**2 + k*n**4 + 0 + 4/13*n + 8/13*n**3.
2*n*(n + 1)**2*(n + 2)/13
Let c(d) = d - 4. Let w(f) = -f. Let i be w(-6). Let x be c(i). Solve 5*u**2 + 0*u**2 - x*u**3 - 5*u**2 = 0 for u.
0
Let p(k) = -k**2 - 2*k - 4. Let n(l) = 98*l**2 - 275*l + 38. Let d(x) = n(x