r i(x).
-3*(x + 1)*(x + 6)
Find o, given that -o - 2*o**5 + 60*o**3 - 57*o**3 + 5*o**4 - 8*o**2 - 3*o = 0.
-1, -1/2, 0, 2
Let r(g) be the third derivative of -g**8/100800 + g**6/3600 + 2*g**5/15 - 5*g**2. Let v(k) be the third derivative of r(k). Factor v(m).
-(m - 1)*(m + 1)/5
Let f(n) be the first derivative of -4*n**5/5 + 2*n**4 + 16*n**3 + 28*n**2 + 20*n + 50. Factor f(c).
-4*(c - 5)*(c + 1)**3
Let g(i) be the second derivative of -21/5*i**5 + 20/3*i**4 + 0*i**2 - 4/15*i**6 - 8/3*i**3 + 2/3*i**7 + 0 + 36*i. Solve g(c) = 0.
-2, 0, 2/7, 1
Let c(r) be the second derivative of -r**4/18 - 11*r**3/9 + 4*r**2 - 22*r. Factor c(n).
-2*(n - 1)*(n + 12)/3
Let s(u) = 4*u**4 - 43*u**3 - 181*u**2 - 259*u - 90. Let a(c) = 2*c**4 - 22*c**3 - 90*c**2 - 130*c - 44. Let k(w) = -7*a(w) + 4*s(w). Find f such that k(f) = 0.
-2, -1, 13
Let v = -8399/15 - -560. Let n(m) be the first derivative of 0*m - v*m**5 + 0*m**2 + 1/9*m**3 - 1/12*m**4 + 1/18*m**6 + 3. Factor n(f).
f**2*(f - 1)**2*(f + 1)/3
Let a(t) = 23*t**4 + 6*t**3 - 6*t - 8. Let m(j) = -27*j**4 - 6*j**3 + 6*j + 9. Let c(h) = 6*a(h) + 5*m(h). Factor c(u).
3*(u - 1)*(u + 1)**3
Let 0 + 11/5*k + k**2 = 0. What is k?
-11/5, 0
Let l(r) be the third derivative of 0*r + 1/63*r**4 + 13*r**2 + 1/2205*r**7 + 0 + 1/105*r**5 + 1/315*r**6 + 1/63*r**3. Factor l(f).
2*(f + 1)**4/21
Let h be (51/(-6) + 4)/((-6)/4). Let a(x) be the third derivative of 0*x + 0 + 1/12*x**h + 4*x**2 + 1/120*x**5 + 1/24*x**4. Factor a(y).
(y + 1)**2/2
Suppose -4*t - 183 + 195 = 2*c, -3*c - t + 3 = 0. Factor -6/5*s**3 + c*s - 2/5*s**5 + 6/5*s**4 + 0 + 2/5*s**2.
-2*s**2*(s - 1)**3/5
Suppose 156 = 3*d - 9*d. Let j = 29 + d. Let 0 + 1/3*h**2 - 1/3*h**4 - 1/3*h**j + 1/3*h = 0. What is h?
-1, 0, 1
Let w(t) = t**3 - 3*t**2 + 3*t. Let d be w(2). What is g in -76*g**3 + 7 + 9 - 15*g**4 + 100*g**d + 43*g**4 - 4*g**5 - 64*g = 0?
1, 2
Find n, given that -4/3*n + 1/3*n**4 + 4*n**2 - 16/3 + 7/3*n**3 = 0.
-4, -2, 1
Determine d so that -37*d**2 - 480*d - 278*d**2 - 140 + 12*d**3 + 4*d**3 + 9*d**3 = 0.
-1, -2/5, 14
Let b(s) = 11 + 2*s - 13 - 4*s**2 + 6*s**2 + 2*s. Let g be b(-3). Find t such that -8/3*t**2 + 0*t**g + 16/3*t**3 + 8/3 - 4*t - 4/3*t**5 = 0.
-2, -1, 1
Let f be 1*-6*-2*(-3)/(-54). Find w such that 2 + f*w**2 - 8/3*w = 0.
1, 3
Let a(g) be the third derivative of -g**6/420 + g**4/21 + 15*g**2 - 2*g. Factor a(t).
-2*t*(t - 2)*(t + 2)/7
Suppose 224*k = 17*k - 61*k. Suppose k + 25/3*v**5 + 4/3*v**2 + 5/3*v**4 - 16/3*v**3 + 0*v = 0. What is v?
-1, 0, 2/5
Suppose 0 = -7*l + 17 - 3. Suppose -d + 5 = v, l*v - 4*d = -2*v - 4. Solve -6/7*x**v + 4/7*x + 0 = 0 for x.
0, 2/3
Let s(j) = j**5 - j**2 - j - 1. Let i(v) = 7*v**5 - 25*v**4 + 30*v**3 - 2*v**2 - 2*v - 2. Let k(c) = -i(c) + 2*s(c). Factor k(u).
-5*u**3*(u - 3)*(u - 2)
Let t = 35773/7 - 5099. Factor -t*z + 198/7*z**2 + 8/7.
2*(9*z - 2)*(11*z - 2)/7
Let q(v) be the third derivative of -v**6/120 + 3*v**5/10 - 4*v**4 + 80*v**3/3 - 201*v**2. What is z in q(z) = 0?
4, 10
Let w(s) be the first derivative of 3*s**4/28 - 2*s**3 + 21*s**2/2 + 44. Factor w(m).
3*m*(m - 7)**2/7
Suppose 0*w - 18 = -9*w. Suppose -s = -s + w*s. Factor 0 + 3/5*q**3 + s*q + 6/5*q**2.
3*q**2*(q + 2)/5
Let p(k) be the third derivative of k**6/12 - 166*k**5/45 + 1859*k**4/36 - 242*k**3/9 + 17*k**2. Factor p(r).
2*(r - 11)**2*(15*r - 2)/3
Find n, given that 0 - 8*n + 1/2*n**3 + 15/2*n**2 = 0.
-16, 0, 1
Let a(o) be the second derivative of o**7/84 + o**6/30 + o**5/40 - o + 1. Determine h, given that a(h) = 0.
-1, 0
Let x(p) be the first derivative of -5*p**6/6 + 14*p**5 - 165*p**4/4 - 560*p**3/3 - 160*p**2 - 40. Suppose x(g) = 0. What is g?
-1, 0, 8
What is l in -6/7 + 9/7*l**2 + 15/7*l = 0?
-2, 1/3
Let j be 42/(-26)*(493/(-51) - -9). Let j*v - 2/13*v**2 + 16/13 = 0. What is v?
-1, 8
Let o(q) be the second derivative of q**4/12 - 2*q**3/3 - 5*q**2/2 + 2*q - 55. Factor o(k).
(k - 5)*(k + 1)
Suppose 4*d + 3*h + 670 = 0, -5*h = -5*d - 6*h - 832. Let g = -107 - d. Factor -3*c**4 - 59*c**2 - 6*c**3 + g*c**2.
-3*c**3*(c + 2)
Let q = 14 - 10. Factor -9*k**4 - k**2 + 5*k**4 + 5*k**q.
k**2*(k - 1)*(k + 1)
Let m = -138 + 147. Solve 8*k + 28*k**4 + m*k**3 + 4*k**3 + 7*k**3 - 34*k**4 - 22*k**2 = 0.
0, 1, 4/3
Suppose 3*p = 5*f - 5, -1 = -p + 2*f - 4. Suppose 0 = -p*z + 4*b + 14 + 31, -2*b + 5 = 3*z. Factor 17 + g + z*g**2 + 29*g + 28.
5*(g + 3)**2
Let m be ((-2)/(-6))/(7*1/84). Factor 3*k**4 + 6*k**m + 4 - 2*k**5 + 4*k**2 + 10*k - 8*k**3 + 0*k**5 - 17*k**4.
-2*(k - 1)*(k + 1)**3*(k + 2)
Let h(l) be the first derivative of l**7/1995 - 7*l**6/1140 + l**5/57 + 26*l**2 + 35. Let q(a) be the second derivative of h(a). Factor q(t).
2*t**2*(t - 5)*(t - 2)/19
Suppose 0 = -2*f + 2 + 4. Let w = 152/5 + -1348/45. Suppose 14/9*n - w + 10/9*n**2 - 8/9*n**f = 0. Calculate n.
-1, 1/4, 2
Factor -75/4*t - 3/4*t**2 + 0.
-3*t*(t + 25)/4
Let r(h) be the first derivative of -2*h**5/5 - 23*h**4/18 - 10*h**3/9 + h**2/3 + 8*h/9 + 313. Solve r(m) = 0 for m.
-1, 4/9
Let v(m) = -3*m + 4*m + m. Let o be v(1). Factor -2*u**4 - o + 0*u**4 + 4 + 4*u - 5*u**3 + u**3.
-2*(u - 1)*(u + 1)**3
Factor g**4 - 157*g + 36*g**3 - 32*g**3 - g**2 + 153*g - 4 + 4*g**2.
(g - 1)*(g + 1)*(g + 2)**2
Let z(m) be the second derivative of -3*m**5/40 - 13*m**4/8 - 5*m**3/2 + 18*m**2 + 8*m + 5. Factor z(t).
-3*(t - 1)*(t + 2)*(t + 12)/2
Let z(a) = 9*a**3 + 6*a**2 - 15*a + 18. Let w(g) = -g**3 - g**2 + g - 2. Let t(j) = -6*w(j) - z(j). Determine h so that t(h) = 0.
-2, 1
Let a(w) = 258*w**3 - 361*w**2 + 105*w - 5. Let d(l) = -260*l**3 + 364*l**2 - 104*l + 4. Let y(f) = -4*a(f) - 3*d(f). Factor y(p).
-4*(p - 1)*(7*p - 2)*(9*p - 1)
Suppose 3*o - 5*x + 23 = 4, -22 = -o - 4*x. Let -2/7*h**4 + 0*h + 0*h**3 + 2/7*h**o + 0 = 0. What is h?
-1, 0, 1
Let c(p) = 5*p**2 + 22*p - 36. Let b(o) = -14*o**2 - 68*o + 106. Let q(z) = 3*b(z) + 8*c(z). Factor q(n).
-2*(n - 1)*(n + 15)
Let j(l) be the third derivative of 3*l**2 + 0 + 0*l - 13/20*l**5 - 6*l**4 - 1/40*l**6 - 18*l**3. Factor j(v).
-3*(v + 1)*(v + 6)**2
Suppose g = -5, -2*f + 7 = -g - 22. Suppose 4*k - f + 4 = 0. What is v in -2 - k*v - 2 + v + 3*v**2 + 2 = 0?
-2/3, 1
Let p = 1315 + -12329/9. Let f = p - -166/3. Factor f + 2/9*k - 2/3*k**2.
-2*(k - 1)*(3*k + 2)/9
Let f(q) = -12*q + 12. Let i be f(2). Let m be (0*-3*(-4)/i)/(-4). Factor 0*d + m - 1/6*d**3 + 1/6*d**2.
-d**2*(d - 1)/6
Solve 18 + 4*a**2 + 12*a - 21*a + a**2 - 2*a**2 + 24*a = 0 for a.
-3, -2
Let n(x) be the first derivative of x**3/4 + 9*x**2/16 + 3*x/8 + 16. Factor n(p).
3*(p + 1)*(2*p + 1)/8
Let h be 2*-6*17 - -4. Let x be h/(-72) + 2/9. Suppose 3*u + 3*u**2 - x + 0*u + u**2 + 2 = 0. What is u?
-1, 1/4
Let b(g) = 6*g**2 + 4*g + 2. Let c be b(-2). Let r = c + -71/4. Solve 1/2 - r*n**2 - 1/4*n = 0.
-2, 1
Let h(a) be the third derivative of a**7/84 + 13*a**6/180 + 2*a**5/15 + a**4/4 + 8*a**2. Let m(b) be the second derivative of h(b). Factor m(x).
2*(3*x + 4)*(5*x + 2)
Suppose -2*k + 9 = 3. Suppose 12 = 2*r - s, -6*s = k*r - 3*s. Solve 5*h**3 - 6*h**3 + 9*h**2 + 7*h - h + r*h**3 = 0 for h.
-2, -1, 0
Let -48/13 + 2/13*c**2 - 20/13*c = 0. What is c?
-2, 12
Let k = -7 + 10. Suppose 4*j = -y + j + 15, 4*y = -4*j + 20. Find h, given that 4/9*h**2 - 4/9*h - 1/9*h**k + y = 0.
0, 2
Let x = -2789/9 + 310. Let f(i) be the second derivative of 0*i**2 + x*i**4 + 1/60*i**5 + 0 - 2/45*i**6 - 6*i - 1/18*i**3. Factor f(g).
-g*(g - 1)*(g + 1)*(4*g - 1)/3
Factor -169/2*b - 27/2*b**3 - 195/2*b**2 - 1/2*b**4 + 0.
-b*(b + 1)*(b + 13)**2/2
Let u be (1 - 2)/(1/(-12)). Factor -u*r**2 + 5*r**3 + 0*r**3 + 10*r**2 - 8*r**2.
5*r**2*(r - 2)
Let d(g) be the third derivative of g**6/900 + 11*g**5/450 + 8*g**4/45 + 28*g**3/45 - 12*g**2 - 1. Find n, given that d(n) = 0.
-7, -2
Let y be ((-2108)/153 - 4/18)/(-2). Let j be (-70)/(-5) + -2 + y + -4. Factor 25/3*l**3 + 5/3*l**4 + 35/3*l + j*l**2 + 10/3.
5*(l + 1)**3*(l + 2)/3
Suppose -5*y = -0*y + 5*q - 50, 0 = -q + 3. Suppose -y = 5*o - 22. What is u in -7*u**2 - 5 - 9*u + 0 + o = 0?
-1, -2/7
Factor -24*t**2 - 20*t - 5*t**3 - 237 + t**3 + 237.
-4*t*(t + 1)*(t + 5)
Let k(u) be the third derivative of u**7/2100 - u**5/100 + u**4/30 - 5*u**3/2 + 15*u**2. Let z(a) be the first derivative of k(a). Factor z(l).
2*(l - 1)**2*(l + 2)/5
Let o be (-95 + 39 - -45) + 1 + 15. Factor -8*v**2 + 4*v + 