actor 17/5*c**2 - 2/5*c**4 + 9/5*c**3 + 0 + 6/5*c.
-c*(c - 6)*(c + 1)*(2*c + 1)/5
Let d(r) be the third derivative of r**7/70 - r**6/40 - r**5/20 + r**4/8 + 108*r**2. Factor d(t).
3*t*(t - 1)**2*(t + 1)
Let a = -151 + 155. Factor -27*f**5 + 0*f**3 + 14*f**5 + 12*f**5 + 6 + 4*f**2 - 13*f - 2*f**a + 6*f**3.
-(f - 1)**3*(f + 2)*(f + 3)
Let y be 88/(-16)*(-18)/264. Let m(o) be the third derivative of 0*o - 3/40*o**6 - 11*o**2 + o**3 + 0 - 1/70*o**7 - 1/20*o**5 + y*o**4. Factor m(f).
-3*(f - 1)*(f + 1)**2*(f + 2)
Let j be (-3)/(-6)*3*6/36. Let l(z) be the first derivative of 1/10*z**5 - 1/12*z**6 + 1/2*z - 1/4*z**2 + 6 - 1/3*z**3 + j*z**4. Factor l(i).
-(i - 1)**3*(i + 1)**2/2
Let u(f) be the second derivative of 3*f**5/40 + 31*f**4/6 + 413*f**3/4 - 441*f**2/2 - 61*f. Solve u(k) = 0.
-21, 2/3
Let x be (70/4)/(6 + -12). Let c = -9/4 - x. What is b in -4/3*b**4 + 8/3*b**2 - 4/3 + 4/3*b**3 - c*b**5 - 2/3*b = 0?
-2, -1, 1
Let s(c) = -12*c**2 + 10*c + 2. Let p(t) = 11*t**2 - 10*t - 1. Let i be 0/(1 - -1) + 0. Suppose -4*k - 20 - 4 = i. Let b(g) = k*p(g) - 5*s(g). Factor b(a).
-2*(a - 1)*(3*a - 2)
Let y = 1594/9 - 177. Let l(n) be the first derivative of 0*n - 2/27*n**3 + 5 + 0*n**2 + 2/15*n**5 - y*n**4. Solve l(f) = 0 for f.
-1/3, 0, 1
Let x(c) = 37*c**3 - 165*c**2 - 26*c + 176. Let m(i) = 7*i**3 - 33*i**2 - 5*i + 35. Let t(b) = 11*m(b) - 2*x(b). Let t(z) = 0. What is z?
-1, 1, 11
Let c(y) be the third derivative of y**6/180 + 2*y**5/45 + y**4/36 - 2*y**3/3 + 365*y**2. Factor c(i).
2*(i - 1)*(i + 2)*(i + 3)/3
Let w be (-1 + 73/12)*1 - 5. Let h(q) be the second derivative of -w*q**4 + 0*q**2 + 0*q**3 - 1/20*q**5 + 0 - 4*q. Factor h(z).
-z**2*(z + 1)
Let s(y) = 7*y**3 + 254*y**2 + 21168*y + 592700. Let o(c) = -10*c**3 - 255*c**2 - 21168*c - 592698. Let z(q) = 2*o(q) + 3*s(q). Factor z(w).
(w + 84)**3
Let a(h) be the second derivative of -h**4/54 - 11*h**3/27 - 2*h**2 + 143*h. Factor a(m).
-2*(m + 2)*(m + 9)/9
Let n be (5 - 6)*-1*0. Let w(x) be the second derivative of 1/9*x**3 + n*x**4 + 1/6*x**2 - 1/30*x**5 + x - 1/90*x**6 + 0. Factor w(v).
-(v - 1)*(v + 1)**3/3
Let k(f) = -f**3 - 7*f**2 + 5*f - 24. Let t be k(-8). Find z such that t + 0*z - 3/2*z**2 - 3/4*z**3 + 3/4*z**4 = 0.
-1, 0, 2
Let s be 1/8 + (-3563)/(-40). Let y = s - 89. Factor y*b**5 + 14/5*b**3 + 6/5*b**4 + 9/5*b + 2/5 + 16/5*b**2.
(b + 1)**4*(b + 2)/5
Let n(a) = -a**2 - 101*a - 570. Let p be n(-95). What is c in 4/9 + p*c - 4/9*c**2 = 0?
-1, 1
Let u(t) = t**5 - t**3 + t. Let c(q) = -2*q**5 - 14*q**4 - 66*q**3 + 170*q**2 - 126*q + 24. Let r(o) = -2*c(o) - 28*u(o). Suppose r(g) = 0. Calculate g.
-3, 1/2, 2/3, 1, 2
Solve -15/7*p**2 - 3/7*p**3 - 3 + 39/7*p = 0 for p.
-7, 1
Suppose -5*x**4 + 190*x - 167 + 47 - 31*x - 150*x**2 + 61*x + 45*x**3 = 0. What is x?
2, 3
Let h(j) = 59*j**2 + 77*j + 29. Let m(x) = 104*x - 48*x**2 - 72 - 99*x**2 - 197*x - 99*x. Let c(l) = 12*h(l) + 5*m(l). Determine p, given that c(p) = 0.
-2/3
Let g(z) be the second derivative of z**6/450 - z**5/50 - 4*z**3/3 + 11*z. Let d(v) be the second derivative of g(v). Let d(m) = 0. What is m?
0, 3
Let n be -40 - -43 - (1 + -3 + 5). Let c(v) be the second derivative of n*v**2 + 1/4*v**3 + 0 - 1/8*v**4 - 10*v. Factor c(t).
-3*t*(t - 1)/2
Let l(m) be the third derivative of m**5/30 - 3*m**4/2 + 17*m**3/3 + 553*m**2. Factor l(f).
2*(f - 17)*(f - 1)
Let h(d) = -108*d**2 + 34*d. Let r(v) = -36*v**2 + 11*v. Let o(w) = 3*h(w) - 8*r(w). Let q(t) = -7*t**2 + 3*t. Let l(f) = -2*o(f) + 11*q(f). Factor l(u).
-5*u*(u - 1)
What is f in -20/11*f**3 - 72/11*f - 2/11*f**4 - 6*f**2 + 0 = 0?
-4, -3, 0
Let l(u) be the second derivative of -u**5/5 - 7*u**4/3 - 8*u**3 + 27*u - 2. Factor l(h).
-4*h*(h + 3)*(h + 4)
Let u = 152 - 150. Suppose 4*r - 10 = u. Solve y**r + 1/2*y**2 - 1/2*y + 0 = 0.
-1, 0, 1/2
Let d be ((133/(-84))/19)/(70/(-4)). Let v(l) be the third derivative of 1/60*l**5 + 7*l**2 + 0*l + 0 - d*l**7 + 0*l**6 + 0*l**3 + 0*l**4. Factor v(g).
-g**2*(g - 1)*(g + 1)
Suppose 8 = 7*d - 5*d. Suppose -d = -4*i + 2*m - 3*m, -3*m - 12 = 0. Suppose 2/5*s - 1/5*s**i - 1/5 = 0. Calculate s.
1
Let p(f) = -6*f**2 - 19*f + 45. Let s(r) = -r**2 - 4*r + 9. Let t = -48 - -42. Let o(g) = t*p(g) + 33*s(g). Factor o(x).
3*(x - 3)**2
Let x(i) be the third derivative of 1/12*i**6 + 3*i**2 + 1/3*i**3 + 1/10*i**5 - 5/12*i**4 + 0*i + 0 - 4/105*i**7. Let x(z) = 0. What is z?
-1, 1/4, 1
Let z(m) be the third derivative of m**9/181440 - m**7/15120 + m**5/5 - 4*m**2. Let v(y) be the third derivative of z(y). Find q such that v(q) = 0.
-1, 0, 1
Let r(n) be the second derivative of -n**4/36 + 2*n**3/3 + 14*n**2/3 - n - 75. Factor r(t).
-(t - 14)*(t + 2)/3
Factor 5/2*o - o**2 - 1/2*o**3 + 3.
-(o - 2)*(o + 1)*(o + 3)/2
Let q(k) = -k**4 + 10*k**3 + 9*k**2 - 17*k - 13. Let y(w) = 8*w**4 - 70*w**3 - 62*w**2 + 122*w + 90. Let f(p) = 44*q(p) + 6*y(p). Factor f(c).
4*(c - 1)*(c + 2)**3
Suppose -3*q = -l - 6, -3*l + l = -2*q. Suppose 5*m = 2*h + 15, -l*h + 3 = m - 0*m. Find z, given that 3/4*z**3 + 0*z + h + 1/2*z**2 - 1/4*z**5 + 0*z**4 = 0.
-1, 0, 2
Factor 1/7*k**2 + 61/7*k - 62/7.
(k - 1)*(k + 62)/7
Let o be (48/(-240))/(3/(-36) + 0). Factor 3/5*l**3 + 3*l**2 + 24/5*l + o.
3*(l + 1)*(l + 2)**2/5
Let v be 5*(-3)/6*(-93)/155. Factor 0 + v*m**4 - 3/2*m**3 + 0*m + 0*m**2.
3*m**3*(m - 1)/2
Let m be (2/(-7) + 176/224)*(-147)/(-42). Factor -m*j**2 - 1/4 + 2*j.
-(j - 1)*(7*j - 1)/4
Let z be 2 - (0 - 40/12) - 104/26. Solve -2 - 2/9*g**2 + z*g = 0 for g.
3
Find u such that 1/2*u**3 + 0 + 6*u + 49/4*u**2 = 0.
-24, -1/2, 0
Let z be -4 - 39/(-3) - 7. Let h(w) be the second derivative of -w**4 + 0*w**z + 4/3*w**3 + 5*w + 0 + 1/5*w**5. Let h(d) = 0. What is d?
0, 1, 2
Suppose 2 - 2 = 15*t. Factor 1/8*q**2 + t - 1/2*q.
q*(q - 4)/8
Let b(j) be the first derivative of -5*j**4/12 - 5*j**3/3 - 5*j**2/2 + 15*j - 10. Let z(h) be the first derivative of b(h). Suppose z(u) = 0. Calculate u.
-1
Let h be ((-2)/60)/((-6)/(-9))*(1694 - 1702). Factor -12/5*j**2 - 22/5*j - h*j**3 - 12/5.
-2*(j + 1)*(j + 2)*(j + 3)/5
Let l be (-1 - (-1)/3)/(504/(-378)). Factor -l*c**2 + 0 - 1/2*c.
-c*(c + 1)/2
Let r(s) be the second derivative of -s**6/3 - 13*s**5/10 - 3*s**4/2 + s**3/3 + 2*s**2 + 306*s. Suppose r(k) = 0. Calculate k.
-1, 2/5
Factor 48/5 + 13/5*m - 1/5*m**2.
-(m - 16)*(m + 3)/5
Factor -5*j**3 + 212*j - 192*j + 5*j**4 - 20*j**2 + 0*j**2.
5*j*(j - 2)*(j - 1)*(j + 2)
Solve -14194 - 5*x + 14230 - x**2 - 11*x = 0 for x.
-18, 2
Let h(p) be the first derivative of p**4/24 + 5*p**3/6 - 4*p**2/3 + 277. Determine f so that h(f) = 0.
-16, 0, 1
Let y(g) = 7*g - 17. Let l be y(4). Suppose 32 = l*k - 3*k. Factor 5*s**5 - 5*s + 6*s**4 - s**k - 5*s**3 - 10*s**2 - 5*s**3 + 5 + 10*s.
5*(s - 1)**2*(s + 1)**3
What is b in -165*b**3 - 110*b**2 + 408*b - 114*b - 45*b**4 - 134*b + 160 = 0?
-2, -4/3, 1
Let i = 10345/6 - 10343/6. Factor 1/3*x**4 - x**2 + 1/3*x - i*x**3 + 2/3.
(x - 2)*(x - 1)*(x + 1)**2/3
Suppose 0 = -44*r + 46*r + 566. Let b = r + 1985/7. Determine h so that 0*h + b*h**3 - 10/7*h**4 + 0 + 0*h**2 = 0.
0, 2/5
Let q(l) = l**3 - 9*l**2 - 12*l + 22. Let u be q(10). Let h be 18/39*(-1)/u*-2. Factor h*v + 0 - 4/13*v**2 - 2/13*v**3.
-2*v*(v - 1)*(v + 3)/13
Let r(h) = h + 4. Let q be r(-6). Let t be (3 - 6)/(2/q). Factor -2 - 3*u - 2 + t*u**2 - 2*u**2 + 6.
(u - 2)*(u - 1)
Let u be (-16)/40 + (-17)/(-5). Suppose 0*z - 2 = -z. Find j such that -2*j**3 + 2*j - j**u + 3*j**z + 4*j**3 = 0.
-2, -1, 0
Suppose 226 = 19*d + 150. Let q(m) = -2*m - 6. Let l be q(-4). Find f such that 9/4*f**3 + 9/2*f - 3/8*f**d - 39/8*f**l - 3/2 = 0.
1, 2
Let k be (27 - 36)/((-1)/(1 - 0)). Find p, given that -19*p**4 - 7*p - 12*p**5 + 10*p + 4*p**4 + 15*p**2 + k*p**3 = 0.
-1, -1/4, 0, 1
Let l be -10 + (-11)/(11/(-13)) + (-11)/5. Suppose -4/5*n + l*n**3 + 4/5 - 4/5*n**2 = 0. Calculate n.
-1, 1
Let o(g) be the first derivative of g**8/3360 - g**6/240 - g**5/120 + 4*g**3 + 9. Let w(n) be the third derivative of o(n). Factor w(x).
x*(x - 2)*(x + 1)**2/2
Let j(x) be the third derivative of -2/315*x**7 + 0*x**3 + 0 - 10*x**2 + 1/72*x**6 + 0*x**4 + 0*x - 1/180*x**5. Factor j(r).
-r**2*(r - 1)*(4*r - 1)/3
Let k = -9 - -13. Factor -2*h**2 - k*h + 2*h**2 - h**2 - 3.
-(h + 1)*(h + 3)
Let u(t) be the third derivative of t**6/200 + 3*t**5/50 - t**4/40 - 3*t**3/5 +