that h(c) = 0.
-8, 0, 4
Let t(d) be the first derivative of -107 + 12/7*d + 3/7*d**2 + 2/63*d**3. Factor t(i).
2*(i + 3)*(i + 6)/21
Factor -3*x**4 - 1325*x**3 + 725323005*x + 25328*x**2 + 6956*x**3 + 2957902596 - 104269*x**2 - 3436648*x**2.
-3*(x - 627)**3*(x + 4)
Let o(b) be the third derivative of -b**6/72 - b**5/3 - 15*b**3 + 149*b**2. Let f(g) be the first derivative of o(g). Factor f(t).
-5*t*(t + 8)
Let f = 12270 + -12270. Let n(t) be the second derivative of -6*t + 1/18*t**4 - 1/60*t**5 + 0*t**2 + f*t**3 - 1/90*t**6 + 0. Suppose n(g) = 0. What is g?
-2, 0, 1
Suppose -49*w = -77*w + 420. Suppose -h = -4*d - 26 + 21, -2*d + 3*h - w = 0. Find y, given that -1/3*y**4 + d + 1/3*y**3 + 2/3*y**2 + 0*y = 0.
-1, 0, 2
Let j(s) be the third derivative of -s**8/224 + s**7/210 + 4*s**6/15 + 3*s**5/20 - 61*s**4/48 - 5*s**3/3 - 2608*s**2. Solve j(n) = 0 for n.
-4, -1, -1/3, 1, 5
Let p(s) = -2*s**2 + 62*s + 210. Let g(x) = 3*x**2 - 91*x - 320. Let l(h) = -5*g(h) - 7*p(h). Factor l(q).
-(q - 26)*(q + 5)
Suppose -5*o + 19 = -4*i, -4*i = -5*o - i + 18. Let f(p) be the second derivative of -16*p - 1/4*p**4 + 0 + 1/20*p**5 + 0*p**o + 0*p**2. Solve f(z) = 0 for z.
0, 3
Let a(w) be the first derivative of w**6/960 - w**5/80 + w**4/16 - w**3 + 6*w + 112. Let x(t) be the third derivative of a(t). Suppose x(q) = 0. What is q?
2
Suppose -80*d + 0 + 23*d**2 - 16 + 152*d**3 - 117*d**5 + 98*d**2 - 213*d**4 + 19*d**2 + 44*d**2 = 0. What is d?
-2, -1, -2/13, 2/3
Suppose 0 = -3*t + m + 5, -1 = 2*t + 3*t - 3*m. Let z(b) be the first derivative of -3*b + b**3 - 42 - 3/2*b**2 + 3/4*b**t. Find i such that z(i) = 0.
-1, 1
Let u(k) = -3*k + 39. Let b be u(-17). Suppose 20 = 4*s - 2*h, -4*s = 5*h - 17 - 3. Let 5*m**3 - 40*m**2 - m - b - s*m + 60*m**2 - 9*m = 0. What is m?
-3, 2
Let d(z) be the third derivative of z**6/360 - 137*z**5/90 + 4891*z**4/18 - 17956*z**3/3 + 199*z**2 - 6*z. Find f, given that d(f) = 0.
6, 134
Let x(a) be the third derivative of -a**5/20 - 7*a**4/8 + 9*a**3 + a**2 + 90*a. Factor x(k).
-3*(k - 2)*(k + 9)
Let b = 115299 - 230597/2. Solve -2*w - 2*w**4 + 3/2*w**3 + b*w**5 + 2*w**2 + 0 = 0 for w.
-1, 0, 1, 2
Let x(p) = 2*p**2 - 4*p - 4. Let t = -9 + 37. Let i = -30 + t. Let d(v) = 4*v**2 - 9*v - 8. Let c(y) = i*d(y) + 5*x(y). Determine f, given that c(f) = 0.
-1, 2
Let d(z) = -47*z**2 - 1292*z + 422508. Let a(g) = 6*g**2 - g - 1. Let r(q) = -8*a(q) - d(q). Determine o so that r(o) = 0.
650
Let d(t) = -6*t**2 - t**2 - 54 + 124*t - 92*t - 64*t. Let v(l) = 16*l**2 + 65*l + 108. Let a(u) = 7*d(u) + 3*v(u). Factor a(x).
-(x + 2)*(x + 27)
Suppose 0 = -102*m + 100*m + 4. Let -84*i + 6*i**m + 25*i**2 + 0*i**3 - 3*i**2 - 108 - 2*i**3 + 6*i**3 = 0. What is i?
-9, -1, 3
Let k be -2 + 16/7 - 348/(-203). What is g in -6*g**2 + 6*g**k + 40*g - 5*g**2 = 0?
0, 8
Let s(d) be the second derivative of 3*d**5/4 - 13*d**4 + 70*d**3 - 72*d**2 + 479*d. Factor s(z).
3*(z - 6)*(z - 4)*(5*z - 2)
Let q(a) = 146*a**2 - 4528*a + 62. Let d be q(31). Factor d + 4/7*f - 2/7*f**3 + 2/7*f**2.
-2*f*(f - 2)*(f + 1)/7
Let n(k) be the third derivative of -k**6/40 - 1072*k**5/25 - 918489*k**4/40 + 184041*k**3/5 - 1073*k**2. Suppose n(o) = 0. What is o?
-429, 2/5
Let a(l) = 2*l**2 + 9*l - 18. Let r be a(-6). Let f be 2 - r - (-2 + 3 + -4). Solve -17*d**5 - 15*d**f - 6*d**2 + 29*d**5 + d - 11*d**4 + 1 - 14*d**3 = 0 for d.
-1, 1/3
Let a = 30199/61306 - -159/11627. Let j = -2/319 + a. Factor j*g**2 + 1/2*g + 0.
g*(g + 1)/2
Solve -258/7*k**3 + 6/7*k**5 + 316/7*k**2 - 176/7 + 40/7*k**4 + 72/7*k = 0 for k.
-11, -2/3, 1, 2
Factor 655/2*x + 1/2*x**3 - 300 - 28*x**2.
(x - 40)*(x - 15)*(x - 1)/2
Let c(u) be the second derivative of -19/11*u**2 - 266*u - 1/66*u**4 + 0 + 20/33*u**3. Find f such that c(f) = 0.
1, 19
Let v(t) be the third derivative of t - 4*t**3 - 1/2*t**4 + 1/40*t**6 - t**2 + 0 + 1/10*t**5. Factor v(g).
3*(g - 2)*(g + 2)**2
Let t(x) = -x**3 + 17*x**2 + 7*x. Let l(r) = r. Let y be (3/5)/(8/(-272 - 8)). Let f(u) = y*l(u) + 3*t(u). What is g in f(g) = 0?
0, 17
Let c(s) = s**2 + s + 1. Let y(b) be the first derivative of -3*b**4/4 - 8*b**3/3 + 5*b**2 - 14*b - 29. Let k(g) = 5*c(g) + y(g). Let k(j) = 0. What is j?
-3, 1
Let f(c) be the third derivative of c**7/735 + c**6/42 + 3*c**5/70 - 696*c**2. Solve f(n) = 0 for n.
-9, -1, 0
Let w be 8 - ((-12)/(-4) + 8). Let t be 1/w*-1*336/98. Let -t + 8/7*c**2 - 2/7*c**3 + 2/7*c = 0. Calculate c.
-1, 1, 4
Let n(j) = -3*j**3 + 565*j**2 + 1639*j - 489. Let h(b) = 2*b**3 - 283*b**2 - 819*b + 240. Let z(u) = -10*h(u) - 4*n(u). Determine c, given that z(c) = 0.
-3, 1/4, 74
Let r(z) = 2*z**2 - 16*z + 14. Let p(l) = 2*l**2 - 15*l + 14. Let a(x) = 6*p(x) - 5*r(x). Let s be a(2). Factor 0 - 1/5*h**3 + 0*h**s + 1/5*h.
-h*(h - 1)*(h + 1)/5
Let n = 9097/26931 - 40/8977. Factor n*x + 1/3*x**2 - 2.
(x - 2)*(x + 3)/3
Suppose 6*o - 7679 = -7505. Let x(w) be the second derivative of 0*w**2 + 0 - o*w + 1/9*w**3 - 2/9*w**4. Factor x(z).
-2*z*(4*z - 1)/3
Let d(z) be the third derivative of -3*z**2 - 3*z - 1/2*z**3 + 0 - 1/60*z**5 - 1/6*z**4. Determine k so that d(k) = 0.
-3, -1
Let m(n) = -n**3 - 5*n**2 + 13*n - 7. Let k be -13*1 + (-294)/(-49). Let q be m(k). Solve -4/9*z**2 - 2/3*z**3 - 2/9*z**4 + 0 + q*z = 0.
-2, -1, 0
Let a(y) be the second derivative of -3/10*y**5 + 6*y**2 + 31/3*y**3 + 41 + 2*y - 11/15*y**6 + 11/2*y**4. Solve a(c) = 0 for c.
-1, -3/11, 2
Let j(a) = -20*a**4 - 5*a**3 + 5*a - 10. Let z(g) = -2*g**4 + g**2 - 1. Suppose 40*o = 17 + 23. Let s(q) = o*j(q) - 15*z(q). Let s(h) = 0. Calculate h.
-1, -1/2, 1
Let i = 67989 + -67989. Factor i + 0*d + 14*d**3 + 20/3*d**2 + 8*d**4 + 2/3*d**5.
2*d**2*(d + 1)**2*(d + 10)/3
Let q(u) be the third derivative of -13*u**7/1575 - u**6/75 + 7*u**5/225 + u**4/15 - u**3/45 - 1704*u**2. Find g, given that q(g) = 0.
-1, 1/13, 1
Let n = 941/270 + -293/270. Solve -2/15*y**3 + 8/15*y + 4/3*y**4 - n*y**2 + 16/15 - 2/5*y**5 = 0.
-1, -2/3, 1, 2
Suppose 910 = 61*p + 788. Factor -16/9*c - 2/9*c**p - 14/9.
-2*(c + 1)*(c + 7)/9
Let f(y) = 15*y - 66. Let m be f(6). Suppose -m = z - 26. Factor -1/5*o**z + 0 + 1/5*o.
-o*(o - 1)/5
Suppose 10*c - 6*c - 2 = 2*k, -5 = -4*k - c. Let v be k*(4/10 + 0/(-23)). Suppose -8/5*y**3 - 8/5*y**2 + 2/5*y**4 + 0*y + 0 + v*y**5 = 0. What is y?
-2, -1, 0, 2
Let y(g) = 3183*g**2 + 285*g - 3. Let n(a) be the first derivative of 1591*a**3/3 + 71*a**2 - a - 10. Let d(c) = 9*n(c) - 4*y(c). Factor d(m).
3*(23*m + 1)**2
Suppose -278*n + 384 + 54 = -396. Find x such that -16/23*x**2 + 30/23*x**n + 8/23 + 8/23*x**4 - 30/23*x = 0.
-4, -1, 1/4, 1
Let u(z) be the first derivative of -z**6/30 + 23*z**5/25 + 17*z**4/20 - 1799*z**3/15 - 464*z**2 + 1280*z + 2257. Find y such that u(y) = 0.
-5, 1, 16
Let o(g) be the third derivative of -2*g**7/105 - 4*g**6/3 - 272*g**5/15 - 256*g**4/3 + g**2 - 451*g. Factor o(n).
-4*n*(n + 4)**2*(n + 32)
Let o(c) = c**5 - 3*c**4 - 2*c**2 - 2*c + 1. Let y(m) = 6*m**5 - 27*m**4 - 29*m**3 + 2*m**2 + 18*m + 5. Let v(k) = -10*o(k) + 2*y(k). Solve v(t) = 0.
-2, -1, 0, 1, 14
Suppose 77*z**3 - 67 - 357*z**2 + 83*z**3 - 199*z**3 - 834*z - 53 = 0. What is z?
-5, -4, -2/13
Let c(y) be the third derivative of y**6/900 - y**5/225 - y**4/45 + 8*y**3/45 + 320*y**2. Suppose c(f) = 0. Calculate f.
-2, 2
Let -20164*s**2 - 16/3 + 568*s + 715822/3*s**3 = 0. What is s?
2/71
Let g = 100058/33 + -3032. Let j(c) be the first derivative of -10/11*c + g*c**3 + 4/11*c**2 + 10. Determine f so that j(f) = 0.
-5, 1
Suppose -3*r - 5*v = -6*r + 393, 3*v - 117 = -r. Let a be 15/9*(r/(-24) - -6). Factor -15/2 - a*p**2 - 25/4*p.
-5*(p + 2)*(p + 3)/4
Suppose -16*a + 1049 - 4345 = 0. Let r = -1231/6 - a. Factor 0 + 0*q + r*q**5 + 25/6*q**4 + 20/3*q**3 + 10/3*q**2.
5*q**2*(q + 1)*(q + 2)**2/6
Suppose 0 = 4*z + 3*r - 698, 0 = 3*z + 4*r - 6*r - 515. Find g such that -5*g**5 + 10*g**3 + 173 - z - 5*g**4 = 0.
-2, 0, 1
Let z be (-1 - (-623)/21) + 13/39. Let s(k) be the second derivative of 0*k**2 + 0*k**3 + 0 + 3/20*k**5 + 0*k**4 - z*k - 1/10*k**6. Solve s(w) = 0 for w.
0, 1
Find d, given that 202289 - 546739 - 204*d - 2*d**2 + 0*d**2 - 1919*d + 463*d = 0.
-415
Factor i**2 - 61 + 6*i**2 - 6*i**2 - 11 + 56*i + 15.
(i - 1)*(i + 57)
Suppose -8*c - 42 = -29*c. Let x = 20 + -11. Let 3*y - 10 + x + c + 3*y**2 + y**3 = 0. Calculate y.
-