**5 + 10*g**4 - 5*g**3 + 11*g**2 + 11*g + 7. Let a(c) = c**5 + c**4 + 2*c**2 + c + 1. Let w(j) = -21*a(j) + 3*u(j). Factor w(m).
3*m*(m - 1)**2*(m + 1)*(m + 4)
Factor -19972 + 22392 + 28*p**2 + 5*p**4 + 65*p**3 - 16*p**2 - 1980*p + 25*p**3 + 173*p**2.
5*(p - 2)**2*(p + 11)**2
Factor 21 - 5*w**2 + 538 + 100*w - 79.
-5*(w - 24)*(w + 4)
Solve 60*r**2 + 4*r**2 - 36*r**2 - 249*r - 62 - 32*r**2 = 0 for r.
-62, -1/4
Let -8/3*g**2 + 0 + 4/3*g**4 - 10/3*g**3 + 8*g = 0. Calculate g.
-3/2, 0, 2
Let c(p) be the third derivative of -p**8/20160 + p**7/1260 - p**6/180 - p**5/2 - 2*p**2. Let v(l) be the third derivative of c(l). Let v(k) = 0. Calculate k.
2
Let b(f) be the second derivative of -f - 1/20*f**5 + 1/120*f**6 + 0 + 1/12*f**4 - 7/2*f**2 + 0*f**3. Let p(s) be the first derivative of b(s). Factor p(j).
j*(j - 2)*(j - 1)
Let b = -29 + 37. Let -23 + b - 10*x - 44*x**2 + 49*x**2 = 0. What is x?
-1, 3
Factor -176 + 176 - l**3 + 5*l**2 + 6*l.
-l*(l - 6)*(l + 1)
Let l(z) be the second derivative of 3*z**5/140 + z**4/2 - 34*z**3/7 + 108*z**2/7 + 275*z. Factor l(b).
3*(b - 2)**2*(b + 18)/7
Let y(v) be the second derivative of 7*v**5/40 - v**4/3 + 8*v - 8. Factor y(z).
z**2*(7*z - 8)/2
Let k(o) be the second derivative of o**6/30 + 3*o**5/5 + 3*o**4/4 - 11*o**3/3 - 69*o. Factor k(i).
i*(i - 1)*(i + 2)*(i + 11)
Let b = -2410 - -4835/2. Let 7/10*g**3 - 9/5 + b*g - 22/5*g**2 = 0. What is g?
2/7, 3
Let n(u) be the second derivative of u**7/630 - u**6/180 + 13*u**4/12 + 6*u. Let x(q) be the third derivative of n(q). Factor x(p).
4*p*(p - 1)
Let n(t) be the second derivative of t**7/21 + 2*t**6/3 + 37*t**5/10 + 32*t**4/3 + 52*t**3/3 + 16*t**2 - 52*t. Suppose n(g) = 0. What is g?
-4, -2, -1
Let r be -3*(208/(-24) - -8). Let z(h) be the first derivative of -r - 1/6*h**3 + 1/2*h**2 + 3/2*h. Factor z(o).
-(o - 3)*(o + 1)/2
Let g(t) be the second derivative of -t**7/840 - t**6/160 - 2*t**2 - 36*t. Let a(l) be the first derivative of g(l). Determine h, given that a(h) = 0.
-3, 0
Let g(a) = 14*a**5 + 2*a**4 - 4*a**3. Suppose -11*c + 15 = -8*c. Let s(f) = 9*f**5 + f**4 - 3*f**3. Let z(r) = c*g(r) - 8*s(r). Let z(k) = 0. What is k?
-1, 0, 2
Let a = 26 - 10. Let y = a - 14. Suppose -7*n**3 + y*n + 5*n**5 + 3*n**2 - 5*n**4 + 5*n**4 - 3*n**4 = 0. Calculate n.
-1, -2/5, 0, 1
Let s be 9/3 + (-3)/(-6)*-2. Factor 114*b + 3*b**s + 2*b**2 - 35*b - 179*b + 500.
5*(b - 10)**2
Let l(t) be the third derivative of -t**7/420 + t**6/80 - t**5/60 - t**2 + 9. Let l(a) = 0. What is a?
0, 1, 2
Let o(g) be the first derivative of -g**3/18 + 23*g**2/6 + 75. Factor o(b).
-b*(b - 46)/6
Let q be ((-2)/((-380)/14))/(6/34). Let r = q + -1/57. Factor 0 - 2/5*z**3 - 2/5*z**4 + r*z + 2/5*z**2.
-2*z*(z - 1)*(z + 1)**2/5
Let j(k) = -k**2 + 23*k - 6. Let a be j(21). Let u be 0 + 2 - 15*4/a. Let u*l**4 + l**2 + l**3 + 1/3*l + 0 = 0. What is l?
-1, 0
Factor 4/5*q**3 - 4/5*q - 4 + 4*q**2.
4*(q - 1)*(q + 1)*(q + 5)/5
Let n(t) be the first derivative of 2*t**5/35 - 2*t**4/7 - 38*t**3/21 - 2*t**2 - 41. Factor n(y).
2*y*(y - 7)*(y + 1)*(y + 2)/7
Let c(d) = -d**3 + 10*d**2. Let k be c(10). Suppose -3*n + n + 6 = k. Factor -o**2 + 3*o**3 + 3*o**3 - 4*o**n - 3*o**3.
-o**2*(o + 1)
Suppose -15*n = -13*n + 6. Let s be 1 - ((-8)/n + (10 - 12)). Factor -5/3*g + 4/3*g**2 + 2/3 - s*g**3.
-(g - 2)*(g - 1)**2/3
Let w(c) be the first derivative of 1/3*c**3 + 3/40*c**5 + 1/4*c**4 + 0*c - 1/24*c**6 + 1 + 0*c**2. Let r(s) be the third derivative of w(s). Factor r(a).
-3*(a - 1)*(5*a + 2)
Let m(v) = 9*v**4 + 39*v**3 + 38*v**2 - 4*v. Let s(c) = -c**4 - c**3 - 2*c**2 + c. Let i(h) = -m(h) - 4*s(h). Suppose i(n) = 0. Calculate n.
-6, -1, 0
Let w(d) be the third derivative of d**6/120 - 13*d**5/60 + 55*d**4/24 - 25*d**3/2 - 2*d**2 - 49*d. Factor w(b).
(b - 5)**2*(b - 3)
Let v = 2641/12 + -220. Let k(x) be the first derivative of 6 + 3/8*x**2 + v*x**3 + 1/2*x. Let k(o) = 0. What is o?
-2, -1
Let c = -221 - -221. Let x(u) be the third derivative of 1/6*u**3 + 0*u + c + 0*u**4 - 3*u**2 - 1/240*u**5. Factor x(b).
-(b - 2)*(b + 2)/4
Let m(q) = -4*q + 48. Let y be m(11). Let b be (y - (-52)/(-16))*(-8)/(-3). Let 8/3*d - 4 + 4/3*d**b = 0. Calculate d.
-3, 1
Let u be 1/(-16)*-82 + (-160)/32. Let g(f) be the third derivative of 0*f + 3/20*f**5 + 0 + u*f**6 + 0*f**3 + 5*f**2 - 1/4*f**4. Factor g(q).
3*q*(q + 1)*(5*q - 2)
Let n = 1214/1857 - -8/619. Factor 4/3*u**5 + 8/3*u**2 - 1/3 - 2/3*u - 7/3*u**4 - n*u**3.
(u - 1)**3*(u + 1)*(4*u + 1)/3
Let g(i) = i**3 - 7*i - 6. Let x be g(-2). Solve 6/5*t - 3/5*t**2 + x - 3/5*t**3 = 0 for t.
-2, 0, 1
Determine k so that 43904/3 + 56*k**2 + 1568*k + 2/3*k**3 = 0.
-28
Let b be (-7)/(-4) - 10/(120/18). Let g(f) be the third derivative of -1/70*f**7 + 0*f**3 - 2*f**2 + 1/20*f**5 + 0*f + 0 - b*f**4 + 1/20*f**6. Factor g(i).
-3*i*(i - 2)*(i - 1)*(i + 1)
Let n(t) be the first derivative of -4/45*t**5 + 1/27*t**6 + 0*t - 1/9*t**2 - 15 + 4/27*t**3 + 0*t**4. Let n(c) = 0. Calculate c.
-1, 0, 1
Find x such that 24*x**2 + 59*x - 14*x**2 - 5*x**3 - 80 - 9*x + 25*x**2 = 0.
-2, 1, 8
Let t(l) be the third derivative of -l**10/529200 + l**8/70560 - 11*l**5/60 - 16*l**2. Let b(g) be the third derivative of t(g). Let b(a) = 0. What is a?
-1, 0, 1
Let z(y) be the second derivative of -y**7/140 + y**5/10 - 39*y**2/2 + 3*y - 4. Let a(r) be the first derivative of z(r). Factor a(o).
-3*o**2*(o - 2)*(o + 2)/2
Let d(x) be the second derivative of 0 - 1/3*x**4 + 1/6*x**3 + 1/4*x**5 - 1/15*x**6 + 0*x**2 + 4*x. Factor d(v).
-v*(v - 1)**2*(2*v - 1)
Let n(d) be the first derivative of 16*d**2 + 0*d - 80/3*d**3 - 26*d**4 - 28/5*d**5 - 3. Suppose n(z) = 0. Calculate z.
-2, 0, 2/7
Let g(i) = -i**3 - 13*i**2 - 15*i + 22. Let b be g(-11). Let d = 111/2 + b. Let -d*x**2 + 1/2*x + 0 = 0. Calculate x.
0, 1
Let y be 20/70 + -1 + (-10)/(-14). Suppose -5*f - 5*t - 5 = y, -5*t - 1 = 4*f - 4*t. Determine v so that 0 + f*v - 1/4*v**2 + 1/4*v**4 + 0*v**3 = 0.
-1, 0, 1
Suppose 3*n = 4*s + 7*n, -s - 4*n - 6 = 0. Let v(i) = -i + 10. Let k be v(8). Factor 6*b**k + s - 4*b**3 - 2 + 7*b**3.
3*b**2*(b + 2)
Let x = 104 + -98. Let m be ((-10)/x - -2)/(15/10). Factor 2/9*c**2 - m*c**3 - 2/9 + 2/9*c.
-2*(c - 1)**2*(c + 1)/9
Let p(d) be the first derivative of -5*d**9/3024 + d**7/84 - d**5/24 + 29*d**3/3 - 18. Let w(n) be the third derivative of p(n). Factor w(x).
-5*x*(x - 1)**2*(x + 1)**2
Let u(c) = 116*c**3 + 222*c**2 - 324*c + 19. Let y(z) = 23*z**3 + 44*z**2 - 65*z + 4. Let j(k) = -4*u(k) + 22*y(k). Factor j(t).
2*(t - 1)*(t + 3)*(21*t - 2)
Let k be 0/(12/((-12)/2)). Let n(w) be the third derivative of 1/135*w**5 - 1/945*w**7 + w**2 - 1/540*w**6 + 0*w**3 + 0 + k*w**4 + 0*w. Factor n(l).
-2*l**2*(l - 1)*(l + 2)/9
Let p(v) = 8*v**4 - 8*v**3 + 2*v**2 + 3*v + 5. Let d(n) = 12*n**4 - 12*n**3 + 4*n**2 + 4*n + 8. Let h(z) = -5*d(z) + 8*p(z). Solve h(i) = 0.
-1, 0, 1
Let d be (15 + (-66)/4)/((-3)/17). Let m be ((-2)/(-4)*0)/(-1). What is w in -d*w**4 - 11/2*w**2 - 21/2*w**3 + m - 5/2*w**5 - w = 0?
-1, -2/5, 0
Suppose 891/4*p + 3/4*p**4 + 405/2 + 57/4*p**3 + 351/4*p**2 = 0. What is p?
-10, -3
Let t(k) = -8*k**4 - 11*k**3 + 30*k**2 + 3*k - 3. Let a(x) = 9*x**4 + 13*x**3 - 30*x**2 - 4*x + 4. Let o(h) = 3*a(h) + 4*t(h). Factor o(f).
-5*f**2*(f - 2)*(f + 3)
Let t(h) = -101*h - 3128. Let g be t(-31). Factor 6/7*y - 3/7*y**4 + 0 + 3/7*y**2 - 6/7*y**g.
-3*y*(y - 1)*(y + 1)*(y + 2)/7
Let c(j) be the third derivative of j**6/420 - j**5/30 + 5*j**4/28 - 3*j**3/7 + 3*j**2 - 1. Solve c(a) = 0.
1, 3
Let g(f) be the first derivative of 16/9*f**3 - 26 - 1/9*f**6 + 0*f + f**2 + 0*f**5 + f**4. Factor g(u).
-2*u*(u - 3)*(u + 1)**3/3
Factor -27*n**2 - 6*n**2 - 5452*n**3 + 5455*n**3.
3*n**2*(n - 11)
Factor 5*v**3 + 6*v**2 - 12*v**5 + 9*v**5 + 4*v**3.
-3*v**2*(v - 2)*(v + 1)**2
Let b(t) be the first derivative of 2*t**3/9 + 4*t**2/3 - 8*t - 108. Factor b(q).
2*(q - 2)*(q + 6)/3
Factor 31*s**2 + 102*s**4 - 185*s**4 + 25*s**2 - 94*s**3 + 24*s + 97*s**4.
2*s*(s - 6)*(s - 1)*(7*s + 2)
Factor 0 + 16/3*y**3 - 16/3*y + 2/3*y**2 - 2/3*y**4.
-2*y*(y - 8)*(y - 1)*(y + 1)/3
Let -8/13*v - 2/13*v**5 + 10/13*v**3 + 0*v**2 + 0 + 0*v**4 = 0. Calculate v.
-2, -1, 0, 1, 2
Let r = 2/13329 - -13325/26658. Find z, given that 2*z**3 - 7/2*z**2 + z + r = 0.
-1/4, 1
Let p(q) = -6*q - 13 - 5*q**2 - 5*q**3