et v(c) = -c**2 + 30*c - 79. Let b be v(27). Solve 8 + 100*x + 1530*x**b + 2008*x**4 + 1367*x**4 - 23*x + 4725*x**3 + 111*x = 0.
-1, -2/15
Let u(w) = -w**3 - 40*w**2 + 34*w - 10. Let c(q) = -q**3 - 33*q**2 + 30*q - 8. Let y(g) = 5*c(g) - 4*u(g). Suppose y(i) = 0. What is i?
-7, 0, 2
Let l be (-662)/(-6080) + (-66)/1254. Let b(z) be the third derivative of -z**2 - 27/32*z**4 - 5 + 0*z**3 - 1/280*z**7 - l*z**6 - 27/80*z**5 + 0*z. Factor b(d).
-3*d*(d + 3)**3/4
Let b(m) = -17*m**2 - 182*m + 1581. Let u(w) = 7*w**2 - 2*w + 1. Let k(j) = -b(j) - 3*u(j). Let k(q) = 0. Calculate q.
11, 36
Let z(m) = 5*m**2 - 13688*m - 11710090. Let y(s) = 22*s**2 - 68440*s - 58550448. Let q(o) = 3*y(o) - 14*z(o). What is d in q(d) = 0?
-1711
Suppose 3*y - 5 = 535*b - 536*b, -3*y = -4*b + 20. Let f(c) be the third derivative of 0*c + 0 - 75/2*c**3 + 5/4*c**4 + 18*c**2 - 1/60*c**b. Factor f(w).
-(w - 15)**2
Solve 736/7*i - 1/7*i**3 - 181/7*i**2 - 740/7 = 0 for i.
-185, 2
Let q(b) = 3*b + 30 - 2*b - 9 - 11 - 13 + b**2. Let f(t) = 6*t**2 + 87*t - 1621. Let o(n) = -4*f(n) + 28*q(n). Factor o(r).
4*(r - 40)**2
Let m be ((-15)/(-20))/(15/60) + (-2)/(-1). Factor 5/3*b**2 - 10/3*b - m.
5*(b - 3)*(b + 1)/3
Let b(d) be the first derivative of -8/9*d**3 + 0*d - 1/9*d**6 + 4/3*d**2 + 8/15*d**5 + 335 - 1/2*d**4. Find h such that b(h) = 0.
-1, 0, 1, 2
Suppose -186*j - 90 = -216*j. Let i(w) be the third derivative of 0 + 1/24*w**4 + 0*w + 0*w**j - 1/40*w**5 - 5*w**2 + 1/240*w**6. Determine u so that i(u) = 0.
0, 1, 2
Let c(w) = -12*w**2 + 8205*w - 8446055. Let l(y) = 19*y**2 - 12306*y + 12669083. Let j(g) = 24*c(g) + 15*l(g). Factor j(x).
-3*(x - 2055)**2
Let l(x) be the third derivative of x**6/420 - 16*x**5/105 - 103*x**4/84 - 10*x**3/3 - 3020*x**2 - x. Factor l(i).
2*(i - 35)*(i + 1)*(i + 2)/7
Let c = 39828 + -39826. Let 2*b + 5/4*b**c + 1 + 1/4*b**3 = 0. What is b?
-2, -1
Factor 17*u**2 - 18*u**2 - 49284 - 39*u - 3*u**2 + 927*u.
-4*(u - 111)**2
Let h = -746 + 3731/5. Let q(l) = 5*l + 72. Let f be q(-14). Determine a so that h*a - 1/5*a**3 + 0 + 0*a**f = 0.
-1, 0, 1
Let v(m) = 3*m**2 - 2*m + 2. Let t be (-56)/(-16) + (45/(-6))/5. Let g(w) = -5*w**2 + 3*w - 3. Let d(l) = t*g(l) + 3*v(l). Factor d(p).
-p**2
Let h(w) be the first derivative of -104 - 9/7*w**2 + 2/21*w**3 + 0*w. Factor h(d).
2*d*(d - 9)/7
Let t(k) = 1. Let o(a) = -3*a**4 + 12*a**3 - 15*a**2 + 6*a - 3. Suppose -13*g - 2 = -2*b - 9*g, 2*b = 3*g + 3. Let j(p) = b*t(p) + o(p). Factor j(u).
-3*u*(u - 2)*(u - 1)**2
Let r(f) be the third derivative of -19/15*f**5 - 35*f**2 + 0*f**3 + 1/60*f**6 + 0*f + 37/12*f**4 + 0. Factor r(t).
2*t*(t - 37)*(t - 1)
Let t be (-279)/15 + -14*1007/(-742). Factor 8/5 - t*n**2 + 1/5*n**3 - 4/5*n.
(n - 2)**2*(n + 2)/5
Suppose 3*l - 16 = -y, 17 - 41 = -2*l - 4*y. Let r(f) be the second derivative of -3/20*f**5 + 1/2*f**3 - 1/30*f**6 + 0 + f**2 - 1/12*f**l - 34*f. Factor r(u).
-(u - 1)*(u + 1)**2*(u + 2)
Let j(q) = -q**2 + 17*q - 56. Let m be j(6). Suppose -34 = -3*r + 5*k - 3, 2*k = -m. Factor 6*f**2 - 5*f**3 + 2*f**3 - 5*f + r*f + 0*f**3.
-3*f*(f - 1)**2
Let k(p) be the third derivative of 1/70*p**7 - 1/8*p**4 + 1/2*p**3 - 1/112*p**8 + 0 + 1/20*p**6 + p**2 - 21*p - 1/10*p**5. Let k(t) = 0. Calculate t.
-1, 1
Let q(h) be the third derivative of 2/3*h**4 + 0 + 0*h - 1/24*h**3 - 77*h**2 - 64/15*h**5. Factor q(u).
-(32*u - 1)**2/4
Let j be ((-4)/6)/((-402)/(-3082) + (-91)/345). What is a in 46/7*a**3 - 32/7 - 2/7*a**j - 44/7*a + 10/7*a**4 + 22/7*a**2 = 0?
-2, -1, 1, 8
Factor -167*a - 825*a**3 + 111 - 861*a + 107*a + 828*a**3 + 807.
3*(a - 17)*(a - 1)*(a + 18)
Let u(j) be the first derivative of j**4/24 + 2*j**3/3 + 4*j**2 + 31*j - 90. Let r(q) be the first derivative of u(q). Factor r(k).
(k + 4)**2/2
Find l such that 3*l**2 - 97 + 40 - 738*l - 461 - 223 = 0.
-1, 247
Factor -163*q + 65 + 525/4*q**2 + 1/4*q**4 - 67/2*q**3.
(q - 130)*(q - 2)*(q - 1)**2/4
Let m(z) be the first derivative of -4*z**5/45 - 11*z**4/9 + 4*z**3 + 54*z**2 - 264*z + 5043. Determine k so that m(k) = 0.
-11, -6, 3
Factor 38/7*z**2 + 234/7 + 174/7*z + 2/7*z**3.
2*(z + 3)**2*(z + 13)/7
Determine c so that 1145*c**3 - 28*c**4 + 90*c**4 - 349 - 117*c**3 + 10*c**4 + 792*c + 61 + 2036*c**2 = 0.
-12, -3/2, -1, 2/9
Suppose -5*h + 7*h - 4*b - 22 = 0, -3*b = 4*h. Factor 16*p**4 + 113*p**2 + 61*p**3 + 110*p - 11*p**4 + 7*p**2 - 11*p**h + 35.
5*(p + 1)**3*(p + 7)
Solve 90*w + w**3 + 2*w**3 - 699*w**2 - 6*w**3 + 612*w**2 = 0 for w.
-30, 0, 1
Let o(r) = 2*r**3 - 22*r**2 + 5*r + 11. Let i be o(11). Suppose 0 = -8*x + 11*x - i. Factor 17*d - 7*d**3 + 2*d**3 - 30 - x*d + 20*d**2.
-5*(d - 3)*(d - 2)*(d + 1)
Let r(q) be the second derivative of -1 - 1/120*q**6 - 1/12*q**3 + 0*q**2 - 9*q + 1/40*q**5 + 1/48*q**4. Factor r(s).
-s*(s - 2)*(s - 1)*(s + 1)/4
Let u(s) be the third derivative of s**6/60 - s**5/3 - 7*s**4/12 + 196*s**3/3 + 2967*s**2. Let u(w) = 0. Calculate w.
-4, 7
Suppose -5*g - 15 = 0, -3*t = -g - 0*g - 9. Solve 4*d**3 + 0*d**3 + 7*d**3 - 10*d**4 + t*d**5 - 3*d**3 = 0.
0, 1, 4
Let a(g) be the third derivative of -g**6/300 - 17*g**5/50 + 83*g**4/30 + 72*g**3/5 - 76*g**2 + g + 4. Let a(z) = 0. Calculate z.
-54, -1, 4
Let b be 17*14/(-14) - -24 - (2 + 186/38). Factor -b*x**2 - 24/19 - 26/19*x.
-2*(x + 1)*(x + 12)/19
Let k = -11463/11 - -1043. Let o be -19 - ((-1582)/77 + 1). Solve o*g - 4/11 + k*g**2 = 0.
-1, 2/5
Let x be (1/1)/(11/(-99)). Let i(r) = 5*r**3 - 4. Let t(a) = -12*a**3 + 9. Let u(k) = x*i(k) - 4*t(k). Let u(v) = 0. What is v?
0
Suppose 2*n - 29 = 41. Let z(b) = 50*b**2 + 715*b - 835. Let j(w) = 3*w**2 + 42*w - 49. Let g = 28339 - 28341. Let d(q) = g*z(q) + n*j(q). Factor d(m).
5*(m - 1)*(m + 9)
Let r(g) be the third derivative of -g**9/12096 - g**8/1680 + g**7/280 + 62*g**3/3 + 45*g**2. Let x(y) be the first derivative of r(y). Factor x(a).
-a**3*(a - 2)*(a + 6)/4
Let o(i) be the third derivative of i**6/60 + 23*i**5/30 + 127*i**4/12 + 35*i**3 + 2*i**2 + i - 6. Factor o(x).
2*(x + 1)*(x + 7)*(x + 15)
Let l(j) be the first derivative of -1/20*j**4 - 264/5*j**2 + 3*j**3 + 22 + 484/5*j. Factor l(w).
-(w - 22)**2*(w - 1)/5
Let o(g) be the third derivative of g**5/60 - 169*g**4/4 - 1016*g**3/3 - 6448*g**2. Factor o(w).
(w - 1016)*(w + 2)
Suppose s - 188 = -s. Let z = 62 - 58. Factor 95*h**2 + 4 - s*h**2 - 1 + z*h.
(h + 1)*(h + 3)
Let s(f) be the first derivative of f**4 - 64*f**3/3 - 154*f**2 - 240*f + 1546. Determine r so that s(r) = 0.
-3, -1, 20
Find f, given that 2/9*f**5 + 4/3*f**3 + 0 + 16*f**2 - 30*f - 16/9*f**4 = 0.
-3, 0, 3, 5
Let k = 657340 + -1972015/3. Factor k - 7/3*y**4 + 10/3*y**3 + 1/3*y**5 - 11/3*y + 2/3*y**2.
(y - 5)*(y - 1)**3*(y + 1)/3
Let m(p) be the second derivative of -p**5/130 + 31*p**4/78 + 71*p**3/13 + 333*p**2/13 - 652*p. Factor m(x).
-2*(x - 37)*(x + 3)**2/13
Let a(j) be the first derivative of -31 + 9/4*j**4 - 3/5*j**5 - 3*j**2 + j**3 - 1/2*j**6 + 0*j. Find n such that a(n) = 0.
-2, -1, 0, 1
Let m(h) be the first derivative of -5*h**3/3 - 755*h**2/2 - 3646. Let m(b) = 0. Calculate b.
-151, 0
Let b be 15/18*(-54)/(-60). Let c(t) be the second derivative of 0*t**3 + 0*t**2 + 3/20*t**5 - b*t**4 + 10*t + 0. Factor c(m).
3*m**2*(m - 3)
Let s(c) be the first derivative of -17 + 1/100*c**5 + 2*c + 1/30*c**3 + 1/30*c**4 + 0*c**2. Let o(z) be the first derivative of s(z). Factor o(h).
h*(h + 1)**2/5
Let z be 3380/(-325) - (0 - 4/10). Let x be 630/(-135)*3/z - -1. Find b, given that -3/5*b**3 + 3*b**2 - 24/5*b + x = 0.
1, 2
Let v(d) be the second derivative of d**8/2240 - d**7/840 - 7*d**6/80 + 9*d**5/8 + d**4 + d**3/6 + d - 1. Let w(u) be the third derivative of v(u). Factor w(c).
3*(c - 3)**2*(c + 5)
Suppose 5*i = -0*i + y + 53, i - 4*y - 3 = 0. Determine t so that 2*t**4 + 11*t**5 + 5*t**4 - 2*t**3 - 13*t**5 - i*t**4 = 0.
-1, 0
Let a(v) = -50*v + 1 + 3*v**3 + 6 + 2*v**2 - 4*v**3 + 57*v. Let j be a(4). Factor -6*p - j - 9*p - 99*p**2 - 33*p - 93*p**2.
-3*(8*p + 1)**2
Let d = -2098227 + 8392911/4. What is f in -1587 - 69*f - d*f**2 = 0?
-46
Suppose 90 = -14*b + 230. Factor b*k + 69*k**2 + 73*k**2 + 5*k**4 - 15*k**3 - 147*k**2 + 5*k**5.
5*k*(k - 1)**2*(k + 1)*(k + 2)
Suppose 0 = -2*h + 3*y - 8, -h - 4 = -y - 2. Let -4*b**3 + 11*b**3 - 3*b - 22*b + 4*b**h - 24*b**2 - 2*b**3 = 0. Calculate b.
-1, 0, 5
Suppos