en that h(g) = 0.
-6, 1
Let y = -3987 + 717661/180. Let r(d) be the third derivative of -1/24*d**4 + 0*d - 1/9*d**3 + 8*d**2 + 0 - y*d**5. Determine o so that r(o) = 0.
-2, -1
Suppose -2*b + 5*b - 6 = 4*p, -6 = -3*b - 4*p. Factor 14*v**2 - 58*v - v - 5*v**2 - 7*v - 363 - 12*v**b.
-3*(v + 11)**2
Let b(r) be the third derivative of -r**8/80640 - r**7/2240 - r**6/360 + 13*r**5/30 + 2*r**2 - 16. Let f(n) be the third derivative of b(n). Factor f(z).
-(z + 1)*(z + 8)/4
Let r(d) = d**2 + 3*d - 30. Let o be r(-8). Let m be 120/(-400) - (-3)/o. Solve 0 - 1/3*s**4 - 2/3*s**2 + m*s - 5/3*s**3 + 2/3*s**5 = 0 for s.
-1, -1/2, 0, 2
Let l(p) = 23*p**3 - 522*p**2 + 637*p - 123. Let q(k) = 20*k**3 - 522*k**2 + 638*k - 124. Let z(a) = 4*l(a) - 5*q(a). Factor z(h).
-2*(h - 64)*(h - 1)*(4*h - 1)
Let y = 4062/5 - 268087/330. Let i(k) be the third derivative of -4/165*k**6 + 0*k - 20*k**2 + 1/66*k**4 + 0 - y*k**5 - 3/385*k**7 + 0*k**3. Factor i(w).
-2*w*(w + 1)**2*(9*w - 2)/11
Let p(s) = s**3 + 13*s**2 - 17*s - 32. Let i be p(-14). Suppose -4*g - 2*o + i = 0, o + 4*o - 1 = 2*g. Find v, given that 1/2 - 11/10*v + 1/5*v**g = 0.
1/2, 5
Let m = 8472/101 + -59102/707. Suppose 10/7*w - m*w**3 + 6/7*w**2 + 4/7 - 2/7*w**4 = 0. What is w?
-1, 2
Let o(t) = 3181*t**2 + 28625*t - 34. Let r be o(-9). Let 118/11*u - 1/11*u**r - 3481/11 = 0. What is u?
59
Let y(d) = 0*d**3 + d**3 - 29*d - 3 + 29*d - d**2 + 2. Let p(h) = -30*h**3 + 25*h**2 + 40*h. Let q = -12 + 32. Let g(s) = q*y(s) + p(s). Factor g(f).
-5*(f - 2)*(f + 2)*(2*f - 1)
Let f = 4 - 18/5. Let o be 810/378 - (-18)/105*5. Let -6/5 - 14/5*l - 2*l**2 - f*l**o = 0. What is l?
-3, -1
Let k(q) be the first derivative of 84 - 1/2*q**4 + 0*q**5 + 1/6*q**6 + 0*q + 0*q**3 + 1/2*q**2. Determine n so that k(n) = 0.
-1, 0, 1
Let j(c) = 4*c**3 - 58*c**2 - 116*c - 48. Let s(l) = -17*l**3 + 232*l**2 + 463*l + 188. Let w(x) = 26*j(x) + 6*s(x). Find p such that w(p) = 0.
-1, 60
Let r(y) be the third derivative of 0*y + 1/240*y**6 + 0*y**3 + 1/24*y**5 - 40*y**2 - 1/8*y**4 + 1. Find f, given that r(f) = 0.
-6, 0, 1
Let b be ((-2)/3)/((-13)/234*354 - -18). Let t(r) be the second derivative of b*r**3 + 0*r**2 - 1/20*r**4 + 53*r + 0. Factor t(l).
-3*l*(l - 4)/5
Let r(m) be the second derivative of -1/4*m**4 + 33*m**2 - 21/2*m**3 - 7 + 5*m. Let r(q) = 0. Calculate q.
-22, 1
Let o(h) be the first derivative of -5/3*h**3 + 60*h + 48 - 5/4*h**4 + 20*h**2. Factor o(s).
-5*(s - 3)*(s + 2)**2
Let c(s) = -6*s**3 + 155*s**2 + 328*s + 157. Let n(l) = 5*l**3 - 154*l**2 - 323*l - 156. Let p(k) = 4*c(k) + 5*n(k). Factor p(t).
(t - 152)*(t + 1)**2
Factor 249/4*n**2 + 1/4*n**3 - 252*n + 253.
(n - 2)**2*(n + 253)/4
Let r = 751852/105 - 50102/7. Determine i, given that -r*i - 2/15*i**3 - 4/3 + 2/15*i**4 - 2*i**2 = 0.
-2, -1, 5
Suppose 138*f = -31*f + 107*f + 124. Suppose 21*n**f - 13/2*n**3 + 29/4 - 1/4*n**4 - 43/2*n = 0. Calculate n.
-29, 1
Suppose 0 = 28*t - 20*t - 80. Factor -5*y**4 + 5*y**3 - 3574 + t*y**2 + 3574.
-5*y**2*(y - 2)*(y + 1)
Let g = -112439 - -337327/3. Factor -2/3*i**2 + 0 + 4/3*i**5 + 0*i + 8/3*i**3 - g*i**4.
2*i**2*(i - 1)**2*(2*i - 1)/3
Let r(y) be the third derivative of 0 + 1/6*y**4 - 123*y**2 + 1/30*y**5 - 5*y**3 + 0*y. Let r(q) = 0. What is q?
-5, 3
Let l(k) be the third derivative of 4*k**7/945 - 5*k**6/108 + 7*k**5/54 + 5*k**4/54 - 8*k**3/9 - 6*k**2 - 46*k + 7. Suppose l(c) = 0. What is c?
-3/4, 1, 2, 4
Let s(m) be the first derivative of m**5/210 - m**4/21 - 11*m**2/2 + 3*m - 127. Let y(f) be the second derivative of s(f). Factor y(k).
2*k*(k - 4)/7
Let v(q) be the second derivative of 2*q**7/21 + 6*q**6 - 30*q**5 - 13510*q**4/3 + 91630*q**3 - 747054*q**2 + 1929*q. Factor v(a).
4*(a - 7)**3*(a + 33)**2
Suppose 8*i + 123 - 139 = 0. Determine h, given that 444*h - 2*h**2 - 278*h - h**i - 78 - 247*h = 0.
-26, -1
Let l = -316 + 461. Suppose y + 143 - l = 0. Factor -2/9*a**3 + 2/9 + 2/9*a - 2/9*a**y.
-2*(a - 1)*(a + 1)**2/9
Let t = 30/181 - -121/362. Solve -5/2*v - v**4 + 1/8*v**5 + 15/8*v**3 + t*v**2 + 0 = 0.
-1, 0, 2, 5
Let t = 1432/47 - 2481562/81451. Let b = 3480/12131 - t. What is u in -8/7*u**2 + 0 + 2/7*u - b*u**3 + 8/7*u**4 = 0?
-1, 0, 1/4, 1
Solve 435/4*i + 5/4*i**2 - 2695/2 = 0.
-98, 11
Let z = 475857 + -2855135/6. Factor 3/2*v**4 - 11/6*v**3 - z*v**2 - 1/3 + 11/6*v.
(v - 1)**2*(v + 1)*(9*v - 2)/6
What is j in -39 + 1995*j + 2500*j**2 - 1273*j + 120 - 1622*j = 0?
9/50
Let l = 20019 - 20017. Let y(q) be the first derivative of 2/11*q - 2/33*q**3 + 11 + 0*q**l. Factor y(i).
-2*(i - 1)*(i + 1)/11
Let c(b) = 6*b**2 + 143*b + 82. Let y(j) = -5*j**2 - 141*j - 92. Let m(s) = -4*c(s) - 5*y(s). What is x in m(x) = 0?
-132, -1
Let q(w) be the third derivative of 9*w - 1/735*w**7 + 0*w**4 + 0 + 1/105*w**5 + 0*w**6 + 3*w**2 - 1/21*w**3. Factor q(n).
-2*(n - 1)**2*(n + 1)**2/7
Let g(o) = -7*o**2 - 16*o - 105. Let y(k) = -32*k**2 - 84*k - 524. Let h(v) = -28*g(v) + 6*y(v). Solve h(b) = 0.
-3, 17
Let o(k) be the first derivative of -k**5/45 + 76*k**4/3 - 208846*k**3/27 + 69160*k**2/3 - 207025*k/9 - 1601. Let o(h) = 0. Calculate h.
1, 455
Let c = 46 + -44. Factor -9*t**3 + t**2 + 10*t**2 - t**c + 7*t**3 - 8*t.
-2*t*(t - 4)*(t - 1)
Let d = 3567833/9 + -396425. Factor -72*y + d*y**4 + 0 + 286/9*y**3 + 280*y**2.
2*y*(y + 18)**2*(4*y - 1)/9
Suppose 357 = -3*a - q, -4*a - 111*q - 476 = -109*q. Let f = a + 121. Factor -16/7*b + 0 - 4/7*b**f.
-4*b*(b + 4)/7
Let j = 27149/6 + -4524. Let z(o) be the first derivative of 0*o - 1/6*o**5 + 3 - 5/12*o**4 + 5/18*o**3 + j*o**2. Factor z(q).
-5*q*(q - 1)*(q + 1)*(q + 2)/6
Find f such that 600*f**5 - 500*f**5 + 233*f - 3*f**2 + 1855*f**3 + 70 + 418*f**2 - 748*f + 955*f**4 = 0.
-7, -2, -1, 1/5, 1/4
Let g(i) be the second derivative of -i**6/180 + i**4/18 + 1194*i. Solve g(k) = 0.
-2, 0, 2
Let w(j) be the first derivative of -j**4/18 + 14*j**3/27 - 2*j**2/9 - 80*j/9 + 1569. Factor w(z).
-2*(z - 5)*(z - 4)*(z + 2)/9
Let z be (-2 + (-7)/(-2))*(-48)/18. Let c(s) = -4*s**3 - 36*s**2 - 160*s - 2. Let o(l) = 5*l**3 + 36*l**2 + 159*l + 3. Let m(n) = z*o(n) - 6*c(n). Factor m(b).
4*b*(b + 9)**2
Let l(y) be the second derivative of -y**6/20 - 7*y**5/20 - 7*y**4/24 + y**3/3 + y - 173. Factor l(c).
-c*(c + 1)*(c + 4)*(3*c - 1)/2
Let s be 14*(-9)/(-693) + 700/22. Factor 9*r + 44*r**2 - 405*r + s*r**2 + 324 - 4*r**3.
-4*(r - 9)**2*(r - 1)
Let l = -288028149/523684 + 174909/317. Let x = -4/413 + l. Find w such that -1/2*w - w**5 + 3/2*w**3 - 7/4*w**4 + 0 + x*w**2 = 0.
-2, -1, 0, 1/4, 1
Let g(x) be the third derivative of -x**5/140 + 13*x**4/7 - 774*x**3/7 + 2129*x**2. Factor g(w).
-3*(w - 86)*(w - 18)/7
Let o(h) be the second derivative of -h**5/60 + 2*h**4/9 - 11*h**3/18 - 10*h**2/3 + 1379*h. Factor o(k).
-(k - 5)*(k - 4)*(k + 1)/3
Solve 140*b - 6*b**5 - 204*b**2 + 9*b**3 + 2*b**5 + 6896*b**4 + b**5 - 8*b - 6830*b**4 = 0.
-2, 0, 1, 22
Solve -17033574912 - 28643904*h - 3*h**3 - 12581*h**2 - 2896*h**2 - 579*h**2 = 0 for h.
-1784
Let q be 36/222*74/10. Find b such that 21/5*b - 3 - q*b**2 = 0.
1, 5/2
Factor 2/5*m - 2/5*m**3 - 1/5*m**2 + 0 + 1/5*m**4.
m*(m - 2)*(m - 1)*(m + 1)/5
Let k(z) be the third derivative of 6*z**2 + 0*z + 8 - 1/210*z**7 - 1/120*z**6 + 0*z**3 + 1/60*z**5 + 1/24*z**4. Factor k(d).
-d*(d - 1)*(d + 1)**2
Let n(p) = p**2 - 17*p + 10. Let q be n(16). Let h be (-7)/(105/q) - (-13)/65. Find i, given that -13/5*i**3 - h*i**4 + 4/5*i**5 + 9/5*i + 2/5 + 1/5*i**2 = 0.
-1, -1/4, 1, 2
Let f be (18/14 + 12/(-42))*61. Factor -43*a - 27*a - 18*a + 90 + f*a - 24*a + 3*a**2.
3*(a - 15)*(a - 2)
Let u(y) be the third derivative of y**7/735 - y**6/15 - 83*y**5/105 + y**4/3 + 55*y**3/7 + 9470*y**2 - y. Determine i, given that u(i) = 0.
-5, -1, 1, 33
Let i(y) be the first derivative of 2*y**7/63 - 8*y**6/15 + 3*y**5 - 50*y**4/9 + 84*y - 45. Let r(j) be the first derivative of i(j). Factor r(u).
4*u**2*(u - 5)**2*(u - 2)/3
Let z be (-17)/(2821/(-62) - -37). Factor 0 + 30/7*g**3 + 18/7*g + 6/7*g**4 + 6*g**z.
6*g*(g + 1)**2*(g + 3)/7
Let w(u) be the third derivative of u**6/72 + 2*u**5/3 + 40*u**4/3 - 7*u**3/3 - 33*u**2. Let v(z) be the first derivative of w(z). Let v(n) = 0. Calculate n.
-8
Factor 4*i + 0 - 106/15*i**2 + 2/3*i**3.
2*i*(i - 10)*(5*i - 3)/15
Suppose -5*p + 130 = -5*a, 0*p + 4*p + 3*a = 132. Let -538*s**2 + 8*s 