) be the third derivative of 13/84*l**4 + 0 + 2/3*l**3 - 79*l**2 - 1/210*l**5 + 0*l. Factor z(b).
-2*(b - 14)*(b + 1)/7
Find s, given that 1/11*s**2 - 630/11 + 11*s = 0.
-126, 5
Let o = -24 + 28. Suppose 0 = -o*j + 5*q + 30, -60*q + 12 = 2*j - 61*q. Suppose -1/4*g**2 - 1/4*g**j + 0 - 3/4*g**4 - 3/4*g**3 + 0*g = 0. What is g?
-1, 0
Let c be 77 + (-3 - -2) + -1. Let s = c + -53. Let 21 + s + 6*v - 9*v**2 - 43 + 3*v**4 = 0. What is v?
-2, 0, 1
Let m(t) be the third derivative of -17*t**5/60 + 3*t**4/8 + 19*t**3/6 + 82*t**2. Let d(z) = 12*z**2 - 6*z - 13. Let b(h) = 7*d(h) + 5*m(h). Factor b(n).
-(n - 4)*(n + 1)
Let c = 118599 + -355787/3. Let k = -148 - -494/3. Determine s, given that k*s + 2/9*s**3 + 250/9 + c*s**2 = 0.
-5
Let u(b) be the first derivative of 108 - 65/3*b**3 - 55*b + 115/2*b**2 + 5/4*b**4. Factor u(t).
5*(t - 11)*(t - 1)**2
Suppose q + 191 = -z, 3*q - 262 - 677 = 5*z. Let x be 3/(-21)*z/36. Find g such that 1/2*g - x*g**2 + 3/4*g**4 - 1/4*g**5 - 1/4*g**3 + 0 = 0.
-1, 0, 1, 2
Suppose -9*y + 16 = -5*y. Let d be 217 - (y + -4 + 1). Factor -48 - d*n**2 + 83 + 46 + 67*n**3 - 9*n**4 + 162*n + 11*n**3.
-3*(n - 3)**3*(3*n + 1)
Let m(h) be the first derivative of -4*h**3 - 4*h**2 + 1/2*h**4 + 48*h - 151. Solve m(k) = 0 for k.
-2, 2, 6
Let w(a) be the first derivative of a**4/42 + 64*a**3/21 + 1024*a**2/7 - 130*a + 4. Let i(q) be the first derivative of w(q). Suppose i(j) = 0. What is j?
-32
Suppose 73 - 93 = -10*o. Factor o + 8*m + 4*m**4 - 2 + 1261*m**2 + 16*m**3 - 1241*m**2.
4*m*(m + 1)**2*(m + 2)
Let c be ((-2)/3)/(36/(-54)). Let z(v) = v**2 + v. Let s(w) = -5*w**2 - 6*w - 4. Suppose -18 = -2*j - j. Let u(g) = c*s(g) + j*z(g). Factor u(r).
(r - 2)*(r + 2)
Let z(t) be the first derivative of -2*t**3/15 + 386*t**2/5 + 774*t/5 - 429. Determine i, given that z(i) = 0.
-1, 387
Let b be 4/(-3)*(1*276/(-96) - -1). Find h such that -b*h + 25/4 + 1/4*h**2 = 0.
5
Suppose 0 = 30*i + 5*i + 35. Let c be (-7 - 504/(-60)) + i. Factor 0 - 1/5*t**2 + c*t.
-t*(t - 2)/5
Suppose -a + 4*p + 7 = 0, -2*a - p + 3 = -2. Let b(g) be the first derivative of 2*g**2 - g**2 + 4*g**2 - g**a + 4*g + 4*g - 10. Solve b(u) = 0 for u.
-2/3, 4
Suppose 4*t - 4 = -3*k, -12*t + 19*t = -2*k - 45. Solve -k*q**3 - 144*q + 4/5*q**4 + 324/5 + 472/5*q**2 = 0 for q.
1, 9
Let c(f) be the first derivative of -f**3/18 + 457*f**2/12 - 76*f - 1463. Factor c(y).
-(y - 456)*(y - 1)/6
Let b(a) be the first derivative of 0*a - 95 - 1/4*a**3 - 15/4*a**2. Factor b(s).
-3*s*(s + 10)/4
Let s(m) be the second derivative of m**5/4 - 25*m**4/4 + 115*m**3/6 + 1155*m**2/2 - 1870*m. Let s(n) = 0. Calculate n.
-3, 7, 11
Let c(j) be the first derivative of -5*j**6/6 + 2*j**5 + 10*j**4 + 10*j**3/3 - 35*j**2/2 - 20*j + 860. Determine v so that c(v) = 0.
-1, 1, 4
Let i(x) be the second derivative of x**6/10 - 3*x**5/20 - 25*x**4/4 + 25*x**3/2 + x + 5071. Suppose i(d) = 0. What is d?
-5, 0, 1, 5
Let f(l) be the first derivative of 0*l**2 + 76 + 9/14*l**4 + 0*l**3 + 0*l - 12/35*l**5 - 1/7*l**6. Find g such that f(g) = 0.
-3, 0, 1
Let l = 3293663/8 + -411697. Find s, given that 75/8*s**2 + 21/8 - 9/8*s**3 - l*s = 0.
1/3, 1, 7
Let m(s) be the first derivative of -2*s**5/5 + 40*s**3/3 - 128*s + 1776. Solve m(o) = 0.
-4, -2, 2, 4
Suppose 4*x + 3*n - 58 = 0, 6*x - 11 = 7*x + 5*n. Let y(z) be the third derivative of 0*z - 1/270*z**5 - 2/27*z**3 - 1/36*z**4 + 0 + x*z**2. Factor y(l).
-2*(l + 1)*(l + 2)/9
Suppose 0 = 3*i + 2*t + 24, -i - 9 = i - t. Let l be (8/i)/(3*2/(-9)). Factor 17*h**2 - 12*h**3 + 7*h**2 + l*h**4 - 5*h**2 - h**2 - 8*h.
2*h*(h - 4)*(h - 1)**2
Solve 24*z**2 + 4*z**3 + 917*z - 13*z**2 + 320 - 581*z + 85*z**2 = 0 for z.
-20, -2
Factor 620*m + 460/3 + 295*m**2 + 35/3*m**3.
5*(m + 2)*(m + 23)*(7*m + 2)/3
Let f(l) be the first derivative of -l**5/60 + l**4/4 - 5*l**3/6 + 7*l**2/6 + 56*l + 37. Let u(y) be the first derivative of f(y). Find a, given that u(a) = 0.
1, 7
Let v(w) be the third derivative of w**5/160 + 25*w**4/64 + 9*w**3 + 342*w**2. Factor v(k).
3*(k + 9)*(k + 16)/8
Let i(t) be the second derivative of -1/5*t**3 - 1/35*t**7 + 9/50*t**5 - 46*t + 1/50*t**6 + 0*t**2 + 1/20*t**4 + 0. Suppose i(y) = 0. What is y?
-1, 0, 1/2, 2
Suppose 624*z = 631*z - 35. Suppose -5 = 5*p - z*x, -3*x + 7 = 3*p - 4*p. Factor -1/3*u**p + 1/3*u**4 + 1/3*u**3 - 1/3*u + 0.
u*(u - 1)*(u + 1)**2/3
Let z be -3*(3363/(-4248) + (-1)/(-8)). Factor 0 + 1/8*b + 1/8*b**z.
b*(b + 1)/8
Let c(j) be the second derivative of 3*j**5/80 + 61*j**4/24 - 437*j**3/24 + 33*j**2/2 - 3178*j. Factor c(b).
(b - 3)*(b + 44)*(3*b - 1)/4
Let g(j) be the second derivative of 0*j**2 - 8*j - 12/5*j**5 + 0*j**3 - 1/5*j**6 + 3/14*j**7 + 0*j**4 - 5. Factor g(m).
3*m**3*(m + 2)*(3*m - 8)
Let c(g) = -6*g**3 - 9374*g**2 - 5503718*g - 5494336. Let f(x) = 19*x**3 + 28119*x**2 + 16511157*x + 16483008. Let t(k) = 7*c(k) + 2*f(k). Solve t(s) = 0 for s.
-1172, -1
Suppose -64 - 68 = -4*p. Suppose 3 = -p*k + 69. What is v in -2/13*v**k - 2/13*v + 4/13 = 0?
-2, 1
Let w = 5865/13 + -11717/26. Let h(s) be the first derivative of 12 + 0*s - 8/3*s**3 - w*s**4 + 0*s**2. Find b such that h(b) = 0.
-4, 0
Solve 1/4*z**5 - 7803/4 - 3519/4*z + 37/4*z**4 + 267/2*z**2 + 191/2*z**3 = 0.
-17, -3, 3
Suppose -3*w - g = -52010, 66*w - 64*w + 5*g = 34630. Let -340*z**3 - 3340840 - 393040*z - 5/2*z**4 - w*z**2 = 0. Calculate z.
-34
Suppose -x = 3*d + 7, -3*x + 11*d = 7*d - 18. Solve 6*i**2 - 24*i + 3*i**x - 15*i**2 - 32 - 3*i**2 + 5*i**2 = 0.
-4, -2
Let a = 793184 + -11897758/15. What is y in 4/15*y**2 + 8/15*y - 16/15 - a*y**3 = 0?
-2, 2
Suppose -9*d + 0*d + 36 = 0. Find h, given that -67*h**2 + 263*h**2 + h**d + 616*h**3 - 644*h**3 = 0.
0, 14
Let x(l) be the first derivative of 9*l**4 + 92*l**3 + 64*l - 47*l + 53*l - 208*l**2 + 74*l + 146. Factor x(t).
4*(t + 9)*(3*t - 2)**2
Let v(x) be the third derivative of 2/315*x**7 - 1/135*x**5 + 0 - 4/27*x**3 - 1/12*x**4 - 12*x**2 - x + 2/135*x**6 + 1/1512*x**8. Solve v(q) = 0.
-4, -1, 1
Let m(r) be the second derivative of r**6/40 + 9*r**5/16 + 27*r**4/16 + 13*r**3/8 + 7*r + 45. Determine z, given that m(z) = 0.
-13, -1, 0
Let o(a) be the first derivative of 3/16*a**3 - 4*a + 0*a**2 + 1/32*a**4 + 7. Let t(x) be the first derivative of o(x). Factor t(w).
3*w*(w + 3)/8
Let f be (-2)/6*(-27)/21. Let o be (-247)/(-13) + -31 + 174/14. Let -f*x + 15/7*x**2 + o*x**3 - 15/7 = 0. What is x?
-5, -1, 1
Let d = -155/2 - -79. Suppose 57*o = -353*o + 820. Determine p so that -6*p + d*p**o + 6 = 0.
2
Let f be (-11)/13 + (-1)/(-1). Let p(x) = 2*x**3 + 28*x**2 + 35*x + 977. Let r be p(-15). Let 12/13*a + f*a**r + 0 - 2/13*a**3 = 0. What is a?
-2, 0, 3
Let t = -159/35 - -484/105. Let o(j) be the second derivative of -t*j**3 + 8*j + 0 + 0*j**2 - 1/15*j**4 - 1/50*j**5. Solve o(u) = 0 for u.
-1, 0
Let m(j) = -j**3 - 18*j**2 + 62. Let w be m(-18). Suppose w*t - 168 = 80. Find d such that 0 + 1/12*d - 1/12*d**2 - 3/4*d**3 - 1/3*d**5 - 11/12*d**t = 0.
-1, 0, 1/4
Suppose -12*k + 26*k = 28. Factor -34/9*a + 32/9 + 2/9*a**k.
2*(a - 16)*(a - 1)/9
Let d(a) = -5*a**4 - 10*a**3 + 15*a**2 - 5*a - 5. Let i = -198 + 193. Let g(c) = c**3 - c**2 + c + 1. Let f(n) = i*g(n) - d(n). Factor f(m).
5*m**2*(m - 1)*(m + 2)
Let g(z) be the third derivative of z**5/570 - 29*z**4/38 - 356*z**2 - 3. Find w such that g(w) = 0.
0, 174
Suppose 5185 - 5227 = -14*s. Let n(u) be the second derivative of -6/5*u**2 + 1/50*u**6 + 0 - 3*u + 3/20*u**4 + 1/2*u**s - 3/20*u**5. Find k such that n(k) = 0.
-1, 1, 4
Let x(v) = -173 - 4*v + 82 + 2*v**2 + 85. Let a be (2/(-4) - -2)*-2. Let f(d) = -2*d**2 + 5*d + 7. Let t(p) = a*x(p) - 2*f(p). Factor t(c).
-2*(c - 2)*(c + 1)
Let h(a) = 2*a**3 + 4*a**2 - 41*a + 4. Let d be h(4). Let w be 8/18 - (-25)/((-1800)/d). Factor w - 2/3*s**2 + 0*s.
-2*s**2/3
Factor 100/3 - 2/3*l**2 - 10/3*l.
-2*(l - 5)*(l + 10)/3
Let c(l) be the third derivative of -l**8/2856 + 2*l**7/595 - 2*l**6/255 - 2284*l**2. Factor c(p).
-2*p**3*(p - 4)*(p - 2)/17
Let q(p) be the third derivative of p**7/10080 + p**6/144 - 33*p**4/4 - 108*p**2. Let i(j) be the second derivative of q(j). What is o in i(o) = 0?
-20, 0
Suppose -7*k - 11 - 26 = -4*l, 0 = k + 3. Let w(r) be the first derivative of -4/3*r**3 - 2*r + 2*r**l + 6/5*r**5 - 4*r**2 + 28. Find c, given that w(c) = 0.
-1, -1/3, 1
Let