9. Suppose -3*u + 4 + z = 0. Factor 1 - k**3 + 4*k**u - 77*k + 73*k - 1.
-k*(k - 2)**2
Let j(n) = -2*n**3 + 7*n**2 + 6*n + 34. Let q be j(8). Let h = q - -497. Factor 32*s**h + 4/3*s - 64/3*s**4 - 12*s**2 + 0.
-4*s*(s - 1)*(4*s - 1)**2/3
Let m(p) = -4*p + 22. Let z = 16 + -11. Let w be m(z). Solve 15*x + 6 + 18*x - 3*x**w - 36*x = 0 for x.
-2, 1
Suppose 219 = -1111761*w + 1111834*w. Determine y, given that -5*y**w + 35/6*y**2 - 5/3 + 55/6*y = 0.
-1, 1/6, 2
Let y(b) = 14*b**4 - 88*b**3 + 14*b**2 - 10*b. Let o(v) = -v**2 - v. Let a(p) = p + 17. Let s be a(-7). Let j(f) = s*o(f) - y(f). Let j(q) = 0. What is q?
0, 2/7, 6
Let f(o) = -5*o + 54*o**2 + 57*o**2 - 64*o**2 + 92*o**2 - 1. Let p be f(-3). Factor 5*x**5 + 1265*x - p*x.
5*x**5
Let x(q) be the first derivative of q**6/75 + 2*q**5/25 + q**4/30 - 2*q**3/5 - 17*q + 26. Let m(l) be the first derivative of x(l). Factor m(u).
2*u*(u - 1)*(u + 2)*(u + 3)/5
Let x be 3/((-15)/(-125)*5). Find j such that 4 - 26812*j**4 + j**2 + 0*j**5 + 5*j**3 + 26811*j**4 - j**x - 8*j = 0.
-2, 1
Let k(y) = 70*y + 2035. Let d be k(-29). Factor -3/5*a**4 - 3/5*a**3 + 3/5*a**2 + 0*a + 0 + 3/5*a**d.
3*a**2*(a - 1)**2*(a + 1)/5
Let q be 8 + (6 + -10 - -573). Factor 435*m + q*m + 525 + 3*m**4 + 481*m**2 - 145*m**2 + 54*m**3 - 202*m.
3*(m + 1)*(m + 5)**2*(m + 7)
Let y be (-5 + (-141)/(-30))*4/(-72). Let o = y - -7/12. Let -6/5*t + o*t**4 - 3/5 + 6/5*t**3 + 0*t**2 = 0. What is t?
-1, 1
Let h(a) be the first derivative of -2*a**5 - 103*a**4/4 - 323*a**3/3 - 100*a**2 + 336*a + 3641. Let h(m) = 0. What is m?
-4, -3, 7/10
Let y = -7775 + 7775. Let q(i) be the second derivative of 0*i**3 + 0 + 5/3*i**4 + y*i**2 + 5/6*i**6 + 2*i**5 + 23*i + 5/42*i**7. Factor q(s).
5*s**2*(s + 1)*(s + 2)**2
Let t(w) be the first derivative of -75 - 1/12*w**4 + 1/6*w**2 + 10/9*w**3 - 10/3*w. Find q, given that t(q) = 0.
-1, 1, 10
Let n be 3 + (-3 - (-21413)/(-28)). Let o = n - -768. Factor -1/4*x**5 + 0 - x + 3/2*x**4 - o*x**3 + 3*x**2.
-x*(x - 2)**2*(x - 1)**2/4
Let o(f) be the second derivative of -5*f**6/6 + 5*f**5/4 + f**4/3 - 2*f**3/3 + 1292*f. Let o(y) = 0. Calculate y.
-2/5, 0, 2/5, 1
Let j be 6/((-15)/((-120)/16)). Factor -g**4 + 40*g**j + 8*g**4 + 65*g**2 - 2*g**4 + 17*g + 21*g - 8*g.
5*g*(g + 1)**2*(g + 6)
Let a(i) be the second derivative of -80*i + 1/2*i**3 + 0*i**2 + 0 - 5/4*i**4. Solve a(o) = 0 for o.
0, 1/5
Let w(c) be the first derivative of 34*c - 1/6*c**2 - 1/18*c**3 + 1/36*c**4 + 1/60*c**5 + 34. Let u(i) be the first derivative of w(i). Factor u(k).
(k - 1)*(k + 1)**2/3
Let a(x) = -5*x**4 - 15*x**3 - 30*x**2 + 20*x. Let g(c) = 5*c**2 - c**2 - 3*c**2 - c. Let u be 26/(-39)*3 - (0 - 3). Let p(f) = u*a(f) + 20*g(f). Factor p(w).
-5*w**2*(w + 1)*(w + 2)
Let 50554 - 982*o**2 + 33*o**3 - 11*o**3 - 16*o**3 + 70478 - 8*o**3 - 120048*o = 0. What is o?
-246, 1
Let w(j) be the third derivative of 0*j**3 + 11/108*j**4 + 0 + 1/27*j**5 + 2*j**2 - 1/540*j**6 + 2*j. Factor w(z).
-2*z*(z - 11)*(z + 1)/9
Let q be 495/20020*26 + 1/(-7). Determine w so that q*w - 1/6*w**3 - 1/3*w**2 + 0 = 0.
-3, 0, 1
Let j(p) = -p**3 - p - 1. Let o(h) = -4*h**3 - 6*h**2 - 2*h - 6. Let w = -199 + 198. Let f(y) = w*o(y) + 6*j(y). Factor f(d).
-2*d*(d - 2)*(d - 1)
Find h, given that 0*h**2 + 294/5*h**3 - 3/5*h**5 + 0*h + 0 - 141/5*h**4 = 0.
-49, 0, 2
Factor -43*n**2 - n**4 - 355*n**3 + 1079*n**3 - 374*n**3 - 373*n**3 - 21*n.
-n*(n + 1)**2*(n + 21)
Let f = -424 + 614. Suppose -3*w + f = 184. Let -5/3*s + 2/3*s**2 - w + 1/3*s**3 = 0. What is s?
-3, -1, 2
Suppose -4*m + 16 = 0, 3*i + 5*m - 3*m = 2486. Solve 896*t**4 - i*t**4 + 345*t**3 + 143*t + 357*t + 5*t**5 + 700*t**2 = 0.
-5, -2, 0
Suppose -3*d - 2*s - 9 = 0, -110*s - 30 = 2*d - 106*s. Suppose -9/4*g + 0*g**4 - 3/4 - 3*g**5 + 3/4*g**2 + 21/4*g**d = 0. What is g?
-1, -1/2, 1
Let g = -42 - -44. Let p be (-2 - -10 - 1) + -1 - g. Suppose f**3 - f + 3*f + f**3 + p*f**2 + 0*f**2 = 0. Calculate f.
-1, 0
Let v(z) be the first derivative of 4/5*z**5 - 16*z + 39 - 4*z**4 + 4*z**3 + 8*z**2. Find p such that v(p) = 0.
-1, 1, 2
Let p(w) be the first derivative of 0*w + 4/5*w**5 + 120 + 0*w**2 + 0*w**3 - 3*w**4. Suppose p(l) = 0. What is l?
0, 3
Let o = -1180 - -1183. Suppose -2*h = 5*m - 29, -m + o = -h - 0. Factor 2/3*s**3 + 1/9*s**4 + 8/9*s + 0 + 4/3*s**h.
s*(s + 2)**3/9
Let h be -1 + 1 - (-442)/1105. Let g(a) be the first derivative of h*a**5 - a**4 + 2*a**2 - 4 - 2*a + 0*a**3. Factor g(j).
2*(j - 1)**3*(j + 1)
Suppose -29*g = 21*g - 400. Let h(p) be the second derivative of 1/6*p**3 + 1/8*p**4 - g*p + 1/40*p**5 + 0 + 0*p**2. Solve h(u) = 0.
-2, -1, 0
Let w(t) be the first derivative of -t**4/2 - 6*t**3 + 36*t**2 + 537. Factor w(j).
-2*j*(j - 3)*(j + 12)
Factor 10 + 5/2*q**2 - 25/2*q.
5*(q - 4)*(q - 1)/2
Factor 8*b**3 + 10476*b**2 - 140*b**3 + 1429 - 9450*b**2 + 3*b**4 - 2916*b + 1406.
3*(b - 35)*(b - 3)**3
Let c(y) be the second derivative of 9/4*y**3 + 3/4*y**4 + 2*y + 3*y**2 + 3/40*y**5 + 35. Factor c(l).
3*(l + 1)**2*(l + 4)/2
Let o(u) be the first derivative of -1/2*u**4 - 2/5*u**5 - 3*u**2 + 0*u + 10/3*u**3 + 61. Determine z, given that o(z) = 0.
-3, 0, 1
Let b = 1558900/3 + -519633. Suppose b*o**5 + 0*o + 0*o**2 - 14/3*o**4 + 0 + 8*o**3 = 0. What is o?
0, 2, 12
Let d(p) = 37*p**3 + 178*p**2 + 179*p + 38. Let u(y) = 12*y**3 + 60*y**2 + 60*y + 12. Let n be -6 - 12/(1 + 5). Let q(s) = n*u(s) + 3*d(s). Factor q(v).
3*(v + 1)*(v + 2)*(5*v + 3)
Let t(g) be the second derivative of 1 - 80*g**2 - 22/15*g**4 - 56/3*g**3 - 61*g - 1/25*g**5. What is j in t(j) = 0?
-10, -2
Let x(n) = -n**2 + 1053*n + 3072. Let l(s) = 2*s**2 - 1041*s - 3069. Let y(m) = 4*l(m) + 3*x(m). Find t, given that y(t) = 0.
-3, 204
Let k be (-4)/(-6) + 176/1320. Let b(a) be the second derivative of 0*a**2 - 7/25*a**5 + 0 + 8/15*a**3 - k*a**4 - 3*a. Factor b(m).
-4*m*(m + 2)*(7*m - 2)/5
Let d be -2 - (40 - 53 - 9*-1). Let -2/13*w**3 - 22/13*w + 14/13*w**d + 10/13 = 0. What is w?
1, 5
Let z(l) be the first derivative of 3*l**5/5 + 75*l**4/4 + 57*l**3 - 579*l**2/2 + 330*l + 7095. Factor z(x).
3*(x - 1)**2*(x + 5)*(x + 22)
Solve -1992/7 - 1004/7*w - 4/7*w**2 = 0 for w.
-249, -2
Let g = -2 + 32. Suppose 12*i + 22*i**2 - 40*i**5 - 36*i**2 + 213 - 205 + 84*i**4 - g*i**2 - 20*i**3 = 0. What is i?
-1/2, -2/5, 1
Let 668/11 - 666/11*m - 2/11*m**2 = 0. What is m?
-334, 1
Let v(a) be the third derivative of a**5/210 + 383*a**4/42 + 547*a**2. Factor v(y).
2*y*(y + 766)/7
Find n, given that 79*n - 2*n**3 + 2*n**5 - 65 + 11*n**4 + 3*n**4 - 2751*n**2 - 247*n + 2641*n**2 - 7 = 0.
-6, -2, -1, 3
Let c(y) be the second derivative of -y**5/70 + 52*y**4/21 - 80*y**3 - 57600*y**2/7 + 3546*y. Factor c(v).
-2*(v - 60)**2*(v + 16)/7
Let b(t) be the second derivative of -t**4/20 + 318*t**3/5 - 151686*t**2/5 - 2766*t - 2. Factor b(k).
-3*(k - 318)**2/5
Let r be 1*(7 - 10)*(-14)/63. Let c(m) be the second derivative of 0 + 0*m**2 - r*m**3 + 20*m + 1/12*m**4. Find h such that c(h) = 0.
0, 4
Let x(h) = -h**3 + h**2 + 24*h - 45. Let u be x(4). Let q be (-168)/(-4950)*u + 2/25. Factor -q*y - 2/11*y**2 + 0.
-2*y*(y + 1)/11
Let m(t) be the first derivative of t**3/21 + 13*t**2/7 + 25*t/7 + 753. Determine n so that m(n) = 0.
-25, -1
Suppose -3*y + 8 = y. Let t(u) = -5*u**2 + 72*u + 48. Let o be t(15). Let m(k) = k**2 - 6*k + 1. Let f(p) = 6*p. Let d(w) = o*m(w) + y*f(w). Factor d(n).
3*(n - 1)**2
Factor -235*z**2 + 471*z**2 + 0*z - 241*z**2 + 300 - 55*z + 210.
-5*(z - 6)*(z + 17)
Determine y so that 3*y**2 + 38*y - 612*y**3 - 642*y**3 + 40 - 45*y**2 + 2*y**4 + 1216*y**3 = 0.
-1, 1, 20
Find j such that 71222578/9 + 16450/3*j**2 - 1082410/3*j - 250/9*j**3 = 0.
329/5
Let t(g) be the third derivative of g**5/35 - 395*g**4/42 - 2090*g**2. What is f in t(f) = 0?
0, 395/3
Let x(r) = r**2 - 8*r + 3. Let a be x(8). Let l(w) = -6*w**2 - 9*w + 3. Let z(f) = -7*f - 2*f + 4 - f - 7*f**2. Let v(b) = a*z(b) - 4*l(b). Solve v(q) = 0.
-2, 0
Let j(s) be the third derivative of s**6/210 - s**5/60 + s**4/84 + s**3/42 + 740*s**2. Let j(l) = 0. What is l?
-1/4, 1
Let t(b) be the first derivative of 0*b - 4*b**2 - 4*b**3 + 141 + b**4 + 2/3*b**6 + 12/5*b**5. Find g, given that t(g) = 0.
-2, -1, 0, 1
Let t(l) = 9*l**3 - 1065*l**2 - 2932*l + 886. Let c(b) = 10*b**3 - 1068*b**2 - 2932*b + 867. Let k(n) = 2*c(n) - 3*t(n