 1)**2/2
Let h(z) = -84*z + 252. Let g be h(3). Factor g*f**3 + 4/5*f**2 + 0*f - 4/5*f**4 + 0.
-4*f**2*(f - 1)*(f + 1)/5
Let 65*g**2 + 5*g**4 + 70*g**3 - 1771*g + 195 + 1425 + 511*g = 0. Calculate g.
-9, 2
Let r = 449/42 - 214/21. Let f = -15 - -46/3. Suppose -1/6*t**3 - f + 0*t**2 + r*t = 0. Calculate t.
-2, 1
Factor 24 + 0*y**2 + 0*y**2 + 2831*y - 4*y**3 - 2803*y.
-4*(y - 3)*(y + 1)*(y + 2)
Let l(z) be the first derivative of z**4/4 - 31*z**3/3 + 255*z**2/2 - 225*z - 13. Factor l(x).
(x - 15)**2*(x - 1)
Let d(w) be the first derivative of 4/15*w**5 + w + 1/12*w**4 - 1/6*w**2 + 16 - 7/9*w**3. Factor d(a).
(a - 1)*(a + 1)**2*(4*a - 3)/3
Let q(o) be the third derivative of -o**6/270 - 28*o**5/135 - 221*o**4/54 - 676*o**3/27 + 268*o**2. Find f, given that q(f) = 0.
-13, -2
Let d be 0/(9*6/216*-12). Factor d*c**3 - 1/2*c**4 + 1/2*c**2 + 1/4*c + 0 - 1/4*c**5.
-c*(c - 1)*(c + 1)**3/4
Let u = 27353/123129 + 1/13681. Find l such that -2/3*l - u*l**2 - 4/9 = 0.
-2, -1
Let c(x) = x**3 + 16*x**2 - 4. Let s(d) = d**3 + 18*d**2 - 5. Let k(l) = 5*c(l) - 4*s(l). Determine p so that k(p) = 0.
-8, 0
Let q = 31 + -29. Find o such that -20*o - 3*o**2 + 9*o**q + 20 + 0*o**2 - o**2 = 0.
2
Let w(h) be the third derivative of h**7/630 + h**6/360 - h**5/180 - h**4/72 - 166*h**2. Suppose w(l) = 0. What is l?
-1, 0, 1
Let l(b) be the second derivative of b**6/10 - 3*b**5/2 + 25*b**4/4 + 21*b + 2. Let l(i) = 0. What is i?
0, 5
Factor 52 + 69 - 158 + 58 - 22*d + d**2.
(d - 21)*(d - 1)
Let x = 1336 + -1333. Let a(y) be the third derivative of -y**2 + 0 + 0*y + 1/4*y**x + 0*y**4 - 1/40*y**5. Factor a(v).
-3*(v - 1)*(v + 1)/2
Let k(n) be the second derivative of 5/12*n**4 + 3*n + 0 - 25/2*n**2 - 10/3*n**3. Let k(i) = 0. Calculate i.
-1, 5
Let i(k) be the third derivative of -k**9/14400 + k**8/1120 - 29*k**7/8400 + k**6/200 - k**5/20 + 4*k**2. Let y(t) be the third derivative of i(t). Factor y(h).
-3*(h - 3)*(h - 1)*(7*h - 2)/5
Let b(j) be the third derivative of -j**5/90 - 11*j**4/108 - 2*j**3/9 + 79*j**2. Find i, given that b(i) = 0.
-3, -2/3
Let i = -16 + 26. Let z(n) = -n**2 + 12*n - 12. Let v be z(i). Factor -5*q**2 + v*q**2 + 18*q**2 - 12 + 15*q**3 - 24*q.
3*(q - 1)*(q + 2)*(5*q + 2)
Factor -30*y**4 + 30*y**2 - 10*y + 5*y**5 - 15*y**2 + 15*y**4 + 5*y**3.
5*y*(y - 2)*(y - 1)**2*(y + 1)
Let s(u) be the third derivative of 11/96*u**6 - 6*u**2 - 3/4*u**5 + 40/3*u**3 + 0*u + 5/6*u**4 + 0 - 1/168*u**7. Determine t so that s(t) = 0.
-1, 4
Let b be 0 + (24 + -23)*(-8)/(-10). Let -8/5*z - b*z**2 - 4/5 = 0. What is z?
-1
Suppose -3*f - 5*k + 13 = 7, -6 = -3*f - 3*k. Let v be (1/2)/(3/2). Suppose -1/3*q**f + 0 - v*q**3 + 0*q = 0. What is q?
-1, 0
Let z(y) = -y**3 - 13*y**2 - 8*y + 4. Let a be z(-12). Let u = -42 - a. Find d, given that 0*d + 0 - 1/3*d**3 + 0*d**u = 0.
0
Let x(k) be the third derivative of 0*k - 1/42*k**4 + 17*k**2 + 1/105*k**5 + 0*k**3 + 0. Factor x(u).
4*u*(u - 1)/7
Let o(i) be the third derivative of i**6/270 - i**5/54 - i**4/27 + 4*i**3/9 + 15*i**2 - 3*i. Suppose o(p) = 0. Calculate p.
-3/2, 2
Let q(d) be the second derivative of 5*d**7/42 - 5*d**6/6 + d**5/4 + 35*d**4/4 - 15*d**3 - 14*d - 9. Factor q(u).
5*u*(u - 3)**2*(u - 1)*(u + 2)
Determine j so that -84/5 + 82/5*j + 2/5*j**2 = 0.
-42, 1
Let -2/7*c + 0*c**3 - 20/7*c**2 + 8/7*c**4 + 12/7 + 2/7*c**5 = 0. Calculate c.
-3, -2, -1, 1
Suppose -o + 6*q - q + 27 = 0, -2*q = 10. Suppose 4*f + 2*x = 3*x + 3, -5*f - 2*x - 6 = 0. Factor 2/9*s + f*s**3 + 4/9*s**4 - 4/9*s**o - 2/9*s**5 + 0.
-2*s*(s - 1)**3*(s + 1)/9
Factor 2*f**3 + 2/5*f**4 - 2/5*f**2 - 2*f + 0.
2*f*(f - 1)*(f + 1)*(f + 5)/5
Let x be (1*(516/(-40) + 13))/((-2)/(-30)). Determine f so that 0*f + 8*f**3 + x*f**5 + 2*f**2 + 13/2*f**4 + 0 = 0.
-2, -1/3, 0
Let 3*s**2 + s**2 + 8*s**2 - 88 + 2*s**2 + 84*s - 10*s**2 = 0. Calculate s.
-22, 1
Let h(f) = -f**2 - 6*f + 3. Let n be h(-6). Suppose 0 = -3*s - s - n*i - 1, 4*i = -12. Factor 7*a**s - 6*a - 19*a**2 + 9*a**2.
-3*a*(a + 2)
Let s(m) be the first derivative of -m**5/180 + m**3/18 - 6*m**2 - 10. Let g(k) be the second derivative of s(k). Let g(y) = 0. Calculate y.
-1, 1
Let h(f) be the second derivative of 5*f**4/24 + 5*f**3/4 - 5*f**2 + 4*f + 7. Factor h(n).
5*(n - 1)*(n + 4)/2
Factor 0 - 28/3*f - 4/3*f**2.
-4*f*(f + 7)/3
Let -132/5 - 494/5*g + 14/5*g**3 - 108/5*g**2 = 0. Calculate g.
-3, -2/7, 11
Let h be (-43)/9 - (-15 + 10). Let u(p) be the first derivative of 1 + 1/3*p**2 + 1/18*p**4 - 2/9*p**3 - h*p. Solve u(m) = 0.
1
Let l(o) be the first derivative of -o**4/5 - 76*o**3/15 + 82*o**2/5 - 84*o/5 - 103. Solve l(n) = 0.
-21, 1
Let w(o) be the second derivative of o**5/20 - 7*o**4/6 + 16*o**3/3 + 64*o**2 - 31*o. Find j, given that w(j) = 0.
-2, 8
Let r(b) be the second derivative of -2*b**6/15 + 2*b**5/5 + 5*b**4 - 24*b**3 + 153*b. Factor r(k).
-4*k*(k - 3)**2*(k + 4)
Suppose 5*p + 0*p = 100. Let i(d) = 2*d**3 + 2*d**2 - 18*d - 8. Let n(f) = -f. Let b(w) = p*n(w) - 2*i(w). Factor b(g).
-4*(g - 2)*(g + 1)*(g + 2)
Factor -40*l + 2 + 43*l - 7*l**2 + 8*l**2.
(l + 1)*(l + 2)
Let a = 62 - 60. Determine m, given that -m**2 + 4*m**a + 15 + 0*m**2 + 2*m**2 - 20*m = 0.
1, 3
Let v(b) be the second derivative of -3*b**2 + 0 + 17*b - 1/2*b**3 + 3/20*b**5 + 1/2*b**4. Factor v(j).
3*(j - 1)*(j + 1)*(j + 2)
Factor -5*w**4 + 0*w**2 + 4*w - 4*w - 20*w**2 - 20*w**3.
-5*w**2*(w + 2)**2
Factor 0*q + 0*q**2 + 3/8*q**3 + 1/4*q**4 - 1/8*q**5 + 0.
-q**3*(q - 3)*(q + 1)/8
Let r be (-150)/1875 + (-446)/50 + 13. Solve 12/5 - 68/5*t + r*t**3 + 36/5*t**2 = 0 for t.
-3, 1/5, 1
Let y(d) be the third derivative of -d**8/6720 + d**7/560 - d**6/120 + 4*d**5/15 + 5*d**2. Let t(c) be the third derivative of y(c). Factor t(u).
-3*(u - 2)*(u - 1)
Let p(u) = -4*u**4 + 16*u**3 - 67*u**2. Let r(d) = 7*d**4 - 32*d**3 + 133*d**2. Let t(y) = -5*p(y) - 3*r(y). Factor t(c).
-c**2*(c - 8)**2
Let l = -17389 + 17391. Factor 17/4*h**3 + 5*h**l + h + h**4 + 0.
h*(h + 2)**2*(4*h + 1)/4
Let g be (-5 - -3) + 5*4/14. Let y = g - -26/21. Find z, given that 0*z**4 + 4/3*z**3 + 0*z**2 - y*z**5 - 2/3*z + 0 = 0.
-1, 0, 1
Suppose -5*q - 10 = 0, 8*m - 4*m - 3*q - 146 = 0. Let s = m + -35. Suppose 8/3 + 2/3*g**3 + s*g - 2/3*g**5 - 14/3*g**2 + 2*g**4 = 0. What is g?
-1, 1, 2
Let k(g) be the third derivative of g**2 + 0*g + 1/18*g**3 - 1/36*g**4 + 0 + 1/180*g**5. Let k(n) = 0. What is n?
1
Find a, given that 15/2*a + 7/2 + 9/2*a**2 + 1/2*a**3 = 0.
-7, -1
Let r(z) be the first derivative of 7*z**3/12 - 3*z**2/2 + 76. Factor r(h).
h*(7*h - 12)/4
Let u(z) be the first derivative of -3*z**4/4 - 58*z**3 + 357*z**2/2 - 180*z + 497. Solve u(r) = 0 for r.
-60, 1
Solve 165/4*o**2 - 21/2*o**3 + 0 + 63/2*o - 9/4*o**4 = 0 for o.
-7, -2/3, 0, 3
Let i = -123 + 125. Let a(y) be the second derivative of -1/9*y**4 - 8*y - 1/10*y**5 + 0*y**i + 1/9*y**3 + 0. Solve a(o) = 0 for o.
-1, 0, 1/3
Let o be -9 + -2 - (-1)/(-3)*-3. Let t be o/(-4) + (-11)/22. Solve 0*m**3 - 1/2*m**5 - m**4 + 1/2*m + 0 + m**t = 0 for m.
-1, 0, 1
Suppose -3*g - 2*g = -15. Factor h**5 - h**4 - h + 26*h**2 - 28*h**2 + g*h**4.
h*(h - 1)*(h + 1)**3
Factor -194*h**2 - 67*h - 184*h**2 - 37*h - 30 + 342*h**2 - 38.
-4*(h + 1)*(9*h + 17)
Let r = 19 - 24. Let l(y) = 4*y**2 - 12*y - 11. Let b(c) = 2*c**2 - 6*c - 5. Let i(v) = r*b(v) + 3*l(v). Factor i(a).
2*(a - 4)*(a + 1)
Let v = -303/4 + 1523/20. Suppose 0 + 4/5*r**3 + v*r**4 - 2/5*r**2 - 4/5*r = 0. Calculate r.
-2, -1, 0, 1
Let d(n) be the third derivative of -n**7/1470 - n**6/420 + n**5/420 + n**4/84 - 91*n**2. Factor d(z).
-z*(z - 1)*(z + 1)*(z + 2)/7
Let f(y) = y + 3 - y**2 - 8*y - 1. Let v be f(-6). Factor -2*k + 6*k**4 - k + v*k**2 + 4*k**5 - k - 14*k**4.
4*k*(k - 1)**3*(k + 1)
Let c(q) be the second derivative of q**6/45 - q**4/18 + q + 19. Factor c(r).
2*r**2*(r - 1)*(r + 1)/3
Let f(a) be the second derivative of -a**5/240 - a**4/32 + 5*a**3/12 - 27*a**2 - 44*a. Let r(j) be the first derivative of f(j). Factor r(x).
-(x - 2)*(x + 5)/4
Let r(g) be the first derivative of 0*g + 1/30*g**5 - 1/90*g**6 + 0*g**2 + 8/3*g**3 + 9 + 1/3*g**4. Let l(t) be the third derivative of r(t). Solve l(d) = 0.
-1, 2
Find k, given that 10/13*k**3 + 2/13*k**4 - 10/13*k + 0 - 2/13*k**2 = 0.
-5, -1, 0, 1
Suppose 206*g = 201*g + 15. Factor 0 - 1/2*l**g - 8*l**5 - 1/2*l - 12*l**4 + 3*l**2.