/3*j**2 = 0.
1
Let v(g) = 8*g**2 - 10*g - 28. Let m(b) = 7*b**2 - 4*b - 28. Let p(y) = 6*m(y) - 5*v(y). Determine d so that p(d) = 0.
-14, 1
Let h(i) = -i**4 - i**2 + i. Let r(p) = 5 - 3*p - 4 + p**2 - 19*p**3 + 4*p**2 + 15*p**3. Let l(w) = 5*h(w) - 5*r(w). Factor l(q).
-5*(q - 1)**4
Let i(b) = -7*b - 51. Let h be i(-15). Suppose -56*q**2 + h*q**3 - 10*q**3 + 34*q - 7 - 1 + 2*q**5 + 0*q**5 - 16*q**4 = 0. What is q?
1, 4
Let t(h) = -23*h**2 + 8*h + 68. Let a(c) = 15*c**2 - 5*c - 45. Let b be -5 - (12/30 - 4/10). Let i(o) = b*t(o) - 8*a(o). Factor i(u).
-5*(u - 2)*(u + 2)
Let o = 1800 + -5398/3. Let b(y) be the first derivative of 1/12*y**4 - 5/6*y**2 - 1 + o*y - 1/15*y**5 + 1/3*y**3. Factor b(f).
-(f - 1)**3*(f + 2)/3
Suppose 0 = -3*g + 3*n - 18, 0 = 2*g + 3*n - 4 - 4. Let r be (-15)/(-18)*-3*g. Factor 5*m**5 - 4*m**5 + 3*m**2 - 2*m**5 + 9*m**4 + 9*m**3 + 4*m**r.
3*m**2*(m + 1)**3
Let u be 3*(-12)/(-17 + -67). Solve -9/7*b + 6/7 + u*b**2 = 0 for b.
1, 2
Let d(h) = 4*h**4 - 4*h**3 - 20*h**2 - 12*h + 16. Let u(k) = -k**3 - 2*k**2 - k + 2. Let i(y) = -d(y) + 8*u(y). Let i(q) = 0. What is q?
-1, 0, 1
Let n be ((-30)/60)/((-1)/6). Let u(p) be the first derivative of 0*p - 1/5*p**2 + 2/15*p**3 + n. Find d such that u(d) = 0.
0, 1
Let i(h) be the second derivative of h**5/50 + 2*h**4/5 + 16*h**3/5 + 64*h**2/5 - 3*h - 3. Factor i(d).
2*(d + 4)**3/5
Let w = 215/442 - -3/221. Let h(b) be the third derivative of -7*b**2 + 1/80*b**5 + w*b**3 - 1/8*b**4 + 0*b + 0. Factor h(u).
3*(u - 2)**2/4
Let n(z) = 6*z**2 + 5*z**2 - 2*z**2 + 7*z - 2. Let q(x) = 5*x**2 + 4*x - 1. Let b(c) = 4*n(c) - 7*q(c). Determine m so that b(m) = 0.
-1, 1
Find n such that 2*n**2 - 41*n + n**3 - 37*n - 32 - 12*n - 12*n**2 + 122*n = 0.
2, 4
Let t(i) be the first derivative of -5*i**7/84 + i**5/2 - 14*i + 12. Let c(j) be the first derivative of t(j). Factor c(k).
-5*k**3*(k - 2)*(k + 2)/2
Let c = 13 + -9. Suppose -3*h + 13 = c. Factor 1/4*j + 1/2*j**2 - 1/2 - 1/4*j**h.
-(j - 2)*(j - 1)*(j + 1)/4
Let x(r) be the third derivative of 0*r + 1/60*r**5 - 1/8*r**4 + 5*r**2 + 5/18*r**3 + 1/360*r**6 + 3. Solve x(p) = 0.
-5, 1
Find m, given that -38/7*m + 2/7*m**2 + 120/7 = 0.
4, 15
Let p(d) = d**3 + 15*d**2 + 30*d + 54. Let h be p(-13). Let g(r) be the second derivative of 4*r + 0*r**h + 0 - 1/12*r**3 - 1/48*r**4. Factor g(w).
-w*(w + 2)/4
Let i(t) be the third derivative of 0*t + 1/735*t**7 + 0 + 1/420*t**6 + 0*t**5 + 0*t**3 + 0*t**4 + 19*t**2. Determine w, given that i(w) = 0.
-1, 0
Let v(k) be the first derivative of k**5/6 - 1495*k**4/24 + 8250*k**3 - 1212500*k**2/3 - 2500000*k/3 - 850. Factor v(b).
5*(b - 100)**3*(b + 1)/6
Let a(w) be the third derivative of -1/280*w**7 + 0 + 1/80*w**5 + 0*w + 0*w**6 + 0*w**4 + 2*w**2 + 0*w**3. Factor a(u).
-3*u**2*(u - 1)*(u + 1)/4
Let j = -45 - -75. Suppose -6*f = j*f. Determine d, given that 2/5*d**2 + f*d + 4/5*d**4 + 6/5*d**3 + 0 = 0.
-1, -1/2, 0
Let a(z) be the first derivative of 17/9*z**2 + 35/9*z**4 + 1/3*z**6 + 4/9*z + 104/27*z**3 + 18 + 28/15*z**5. Determine x, given that a(x) = 0.
-2, -1, -1/3
Let t(u) = -17*u**4 + 12*u**3 + 28*u**2 - 15*u - 2. Let m(q) = 33*q**4 - 23*q**3 - 57*q**2 + 30*q + 3. Let v(f) = -3*m(f) - 7*t(f). Factor v(c).
5*(c - 1)**2*(c + 1)*(4*c + 1)
Factor -4/7*f**3 - 4*f**2 - 32/7*f + 1/7*f**4 + 0.
f*(f - 8)*(f + 2)**2/7
Let o(k) be the second derivative of -22*k + 0 - 1/51*k**4 + 0*k**3 - 1/170*k**5 + 0*k**2 + 1/255*k**6. Factor o(s).
2*s**2*(s - 2)*(s + 1)/17
Let l(u) be the third derivative of 16*u**7/105 + 3*u**6/5 + 97*u**5/120 + 3*u**4/8 + u**3/12 - 2*u**2 + u. Factor l(g).
(g + 1)**2*(8*g + 1)**2/2
Factor 72*a - 2*a**4 - 23*a**2 + a**2 + 14*a**3 - 38*a**3 + 0*a**4 - 24*a**2.
-2*a*(a - 1)*(a + 4)*(a + 9)
Let u be (-84)/(-6) + -7 + (-1)/(-2). Let 0 - 5/4*v**2 + u*v = 0. Calculate v.
0, 6
Factor -38/7*n + 37/7*n**2 - n**3 + 8/7.
-(n - 4)*(n - 1)*(7*n - 2)/7
Let q(r) = -17*r**2 - 12*r + 53. Let j(k) = 84*k**2 + 60*k - 264. Let p(y) = -3*j(y) - 16*q(y). Suppose p(n) = 0. What is n?
-2, 7/5
Let w(z) be the first derivative of 2*z**5/5 + 13*z**4/2 - 225. Let w(f) = 0. Calculate f.
-13, 0
Determine x, given that 4*x - 8/7 + 8/7*x**4 - 24/7*x**2 - 4/7*x**3 = 0.
-2, 1/2, 1
Let k(y) be the first derivative of -2*y**3/39 + 200*y**2/13 - 20000*y/13 - 98. Factor k(i).
-2*(i - 100)**2/13
Let q(u) be the third derivative of -u**5/5 - 3*u**4/8 - 2*u**2 - 15*u. Factor q(s).
-3*s*(4*s + 3)
Let a = 5911 - 5911. Solve 0 - 1/4*q**2 - 1/8*q**3 + a*q = 0 for q.
-2, 0
Let i(r) = -19*r**4 - 35*r**3 + 3*r**2 + 35*r + 16. Let g(m) = 10*m**4 + 18*m**3 - 2*m**2 - 18*m - 8. Let p(v) = -11*g(v) - 6*i(v). Factor p(b).
4*(b - 1)*(b + 1)**2*(b + 2)
Let y(o) = -3*o**4 - 17*o**3 + 43*o**2 - 8*o + 5. Let p(t) = -2*t**4 - 8*t**3 + 22*t**2 - 3*t + 3. Let w(j) = -5*p(j) + 3*y(j). Factor w(z).
z*(z - 9)*(z - 1)**2
Factor 66*z**3 + 27*z**4 + 44/3*z + 157/3*z**2 + 4/3.
(z + 1)**2*(9*z + 2)**2/3
Let n be 8/14 + 41325/532. Let m = -78 + n. Factor m - 5/4*h**2 + h.
-(h - 1)*(5*h + 1)/4
Let p(u) be the third derivative of u**7/60 - u**6/20 - u**5/5 + u**4/3 - 17*u**3/6 - 13*u**2. Let v(k) be the first derivative of p(k). Solve v(o) = 0 for o.
-1, 2/7, 2
Suppose -2*o = 4*o - 24. Suppose -4*s**5 + o*s**3 + 4*s**2 + 0*s**2 + 4*s**3 - 4*s**4 - 4*s**3 = 0. What is s?
-1, 0, 1
Let z = 46 + -44. Suppose 0*s - z*s = -4*s. Factor 1/2*j + j**2 + s + 1/2*j**3.
j*(j + 1)**2/2
Let n(v) be the first derivative of -3*v**5/10 - 7*v**4/6 - 5*v**3/3 - v**2 - v + 9. Let q(k) be the first derivative of n(k). Factor q(b).
-2*(b + 1)**2*(3*b + 1)
Let c(d) be the first derivative of 6*d**3/7 + 74*d**2/7 + 32*d/7 - 24. Factor c(l).
2*(l + 8)*(9*l + 2)/7
Suppose 71*w - 9 = 68*w. Let a(v) be the third derivative of 0*v**w - 1/24*v**4 + 0*v + 0 + 2*v**2 + 1/60*v**5. Factor a(f).
f*(f - 1)
Suppose -3*x - 854 = -5*z + 187, -3*z - 3*x = -615. Let b = -1861/9 + z. Find l such that b*l**3 + 0 + 0*l - 2/9*l**5 + 2/9*l**4 - 2/9*l**2 = 0.
-1, 0, 1
Let q(u) be the third derivative of u**5/12 + 85*u**4/8 + 125*u**3/3 - 533*u**2. Find k such that q(k) = 0.
-50, -1
Suppose 37*z = -7*z. Let i(h) be the third derivative of 0*h + z - 1/20*h**6 + 5*h**2 - 1/70*h**7 - 1/20*h**5 + 0*h**3 + 0*h**4. Suppose i(w) = 0. Calculate w.
-1, 0
Let n(t) be the first derivative of 2*t**5/15 - 21*t**4/2 - 2*t**3/9 + 21*t**2 - 232. Suppose n(m) = 0. What is m?
-1, 0, 1, 63
Let g(w) be the second derivative of w**7/6300 + w**6/600 + 3*w**4/4 - 7*w. Let z(v) be the third derivative of g(v). Factor z(d).
2*d*(d + 3)/5
Let c = -317/7 + 47. Let 8/7*y**3 + 8/7*y + 2/7 + 2/7*y**4 + c*y**2 = 0. Calculate y.
-1
Let r(o) = o**4 + 12*o**3 - 47*o**2 - 2*o + 2. Let i(y) = -y**4 + y**3 - y**2 + y - 1. Let n be (-22)/44*(0 - -2). Let k(g) = n*r(g) - 2*i(g). Factor k(z).
z**2*(z - 7)**2
Let r(f) be the first derivative of -16*f**4/3 + 80*f**3/27 + 29*f**2/18 + 2*f/9 - 223. Factor r(d).
-(3*d - 2)*(8*d + 1)**2/9
Let z(g) = g**2 + g - 1. Let j(f) = -5*f**3 + 44*f**2 - 21*f - 74. Let t(k) = j(k) - 4*z(k). Factor t(u).
-5*(u - 7)*(u - 2)*(u + 1)
Let n = -284/45 + 64/9. Let b be 2*-1*(16 - 24 - -7). Suppose -6/5*w**b + 2/5 - n*w = 0. Calculate w.
-1, 1/3
Let r(s) = s + 2. Let b be r(5). Let a = 8 - b. Solve -3*c + 9 + 2*c**2 - 9*c + 4*c - a = 0 for c.
2
Let a(j) = j**2 + 4*j + 4. Let m be a(-4). Suppose -7*z - c + 9 = -m*z, -z + 5*c - 13 = 0. Factor -20*r**3 - 2*r**2 + 2*r**5 - z*r**4 - 4*r**4 + 26*r**3.
2*r**2*(r - 1)**3
Let p be (-112)/110*10/(-4). Let k = 3955 + -43489/11. Find l such that 40/11*l + p*l**2 + 6/11*l**3 + k = 0.
-2, -2/3
Let h = 70 + -53. Let y = h - 13. Solve 0 + 0*z**y - z**3 + 0*z**2 + 1/2*z**5 + 1/2*z = 0.
-1, 0, 1
Factor p**2 - 9*p**4 - 11*p**4 + 17*p**4 - 15*p**3 + 24*p - 7*p**2.
-3*p*(p - 1)*(p + 2)*(p + 4)
Let -354 + 276*s**2 + 48*s - 443*s**3 + 135*s**3 + 338 = 0. Calculate s.
-2/7, 2/11, 1
Let c(b) = b**2 + 71*b + 73. Let z(n) = n**2 + 70*n + 73. Let j(g) = 4*c(g) - 3*z(g). Factor j(q).
(q + 1)*(q + 73)
Let x = -17 + 41. Find h such that h**2 - 12*h**2 + 3*h**5 + 9*h**4 - x*h - 6*h**3 - 25*h**2 + 0*h**4 = 0.
-2, -1, 0, 2
Let a = -15 + 18. Let j be (a/9)/(2/12). Factor 3 + 1 - 3*q - j + q**2.
(q - 2)*(q - 1)
Let j be (-2)/20 + 29/58. Let z(i) be the first derivative of -6 + 0*i + i**2 - 1/2*i**4 + 2/3*i**3 - j*i**5