i + 71)
Let w(a) be the third derivative of 192*a**2 + 2/735*a**7 + 0*a**5 + 0*a**3 + 0*a + 1/1176*a**8 + 0*a**4 - 1/140*a**6 + 0. Factor w(z).
2*z**3*(z - 1)*(z + 3)/7
Factor -9*f + 5*f**2 - f**4 + 0*f**2 + 15*f + 9*f**3 - 11*f**3.
-f*(f - 2)*(f + 1)*(f + 3)
Let y = 6782 + -6780. Let s(b) be the first derivative of 0*b - 3/5*b**y - 2/15*b**3 + 7 + 2/25*b**5 + 3/10*b**4. Factor s(k).
2*k*(k - 1)*(k + 1)*(k + 3)/5
Let h = -14125/178 + 7196/89. Factor -3/2*v**2 - h*v - 1/2 - 1/2*v**3.
-(v + 1)**3/2
Let c(p) be the first derivative of p**3/9 - 78*p**2 + 932*p/3 + 7510. Factor c(h).
(h - 466)*(h - 2)/3
Factor 90 - 320*t**2 + 305*t**2 + 2019*t + 233 + 398 + 89.
-3*(t - 135)*(5*t + 2)
Let v(c) be the third derivative of -c**7/70 - 3*c**6/2 - 531*c**5/10 - 1215*c**4/2 - 6561*c**3/2 + 5*c**2 + 112. Factor v(u).
-3*(u + 3)**2*(u + 27)**2
Let v = -2355 - -2364. Let l be (v + -6)*((-416)/(-168))/13. What is g in -1/7*g**3 - l*g**2 + 4/7 + 1/7*g = 0?
-4, -1, 1
Factor 23/4*h - 1/2*h**2 - 21/4.
-(h - 1)*(2*h - 21)/4
Let k(l) = -l**2 - 35*l - 120. Let w(f) = 5*f**2 + 139*f + 476. Let y(o) = -26*k(o) - 6*w(o). Let y(c) = 0. What is c?
-3, 22
Let n(u) = 9*u**3 + 163*u**2 - 180*u - 4. Let d(o) = 10*o**3 + 160*o**2 - 180*o - 5. Let x(g) = -4*d(g) + 5*n(g). Factor x(l).
5*l*(l - 1)*(l + 36)
What is s in 75/4*s**5 + 1917/4*s**3 - 498*s - 99 + 2535/4*s**4 - 2139/4*s**2 = 0?
-33, -1, -2/5, 1
Let s(j) = -j**2 + 3*j + 1 + 0 - 6 + 2 + 4. Let v(i) = 4*i**2 - 28*i - 27. Let w(z) = -5*s(z) - v(z). Factor w(a).
(a + 2)*(a + 11)
Let s be (9 - 49/1) + 12. Let w be (5*4/70)/((-5)/s). Factor b**2 - w + 1/5*b**3 + 2/5*b.
(b - 1)*(b + 2)*(b + 4)/5
Suppose -25*h = -2*h + 207. Let k(j) = -12*j**2 + 9*j + 48. Let r(w) = w**2 + w. Let o(c) = h*r(c) - k(c). Solve o(z) = 0 for z.
-2, 8
Let s(c) be the third derivative of 0*c + 0 + 1/945*c**7 + 8/45*c**5 - 1/36*c**6 + 0*c**3 + 16/27*c**4 - 53*c**2. Factor s(w).
2*w*(w - 8)**2*(w + 1)/9
Suppose x = 4*v - 41, -2*v - 2*v + 3*x = -51. Solve v*j**2 + 29*j + 21*j**4 - 73*j**4 - 37*j**2 + 16*j**5 - 25*j + 60*j**3 = 0.
0, 1/4, 1
Let s(b) be the first derivative of -235*b**2 - 63/2*b**4 + 152*b**3 + 47 + 100*b. Factor s(v).
-2*(3*v - 5)**2*(7*v - 2)
Let b be ((-12 - -15) + -7)*1/(-1). Let j be (4 - b) + -1 - 156/(-65). Solve 5*g**2 - 16/5*g - 19/5*g**3 + j*g**4 - 1/5*g**5 + 4/5 = 0.
1, 2
Suppose -13*f = 55 - 94. Factor -27*d - 42*d**f - 17*d**4 + 42*d**4 + 48*d**2 - 7*d**4 - 3*d**5 + 6.
-3*(d - 2)*(d - 1)**4
Let z(t) be the third derivative of t**7/4620 + t**6/60 + 11*t**5/20 + t**4/24 + 8*t**3/3 - 10*t**2. Let r(h) be the second derivative of z(h). Factor r(a).
6*(a + 11)**2/11
Let -329 + 1125*z**3 - 211 + 2120*z - 99817*z**2 + 97102*z**2 = 0. What is z?
2/3, 27/25
Let b(i) = 12*i**2 + 12688*i + 3358100. Let u(q) = 4*q**2 + 4229*q + 1119367. Let g(v) = 3*b(v) - 8*u(v). Let g(m) = 0. Calculate m.
-529
Suppose -5*m = -m + 40, -5*t - m + 17 = 27. Let t - 1/3*j**2 - 2/3*j = 0. Calculate j.
-2, 0
Let x(g) = -63*g - 315. Let t be x(-5). Suppose 5*b - 15*b = -20. Let -4/3*o**b - 2/9*o + t = 0. What is o?
-1/6, 0
Suppose u - 1 = -5*c - 0, 4*c + 8 = 0. Suppose -u = 4*d + 9, -7 = -2*j - d. Factor j + 3 + 3 + 10*k**2 + 16*k - 6*k**2.
4*(k + 1)*(k + 3)
Let q(h) be the third derivative of h**8/2352 + 4*h**7/735 - h**6/28 + 8*h**5/105 - 11*h**4/168 - 2*h**2 - 540. Let q(v) = 0. Calculate v.
-11, 0, 1
Let n(y) = -4*y**2 + 299*y + 10955. Let f be -4 + 3 + 3 - 10*-2. Let h(i) = -14*i**2 + 1195*i + 43819. Let m(d) = f*n(d) - 6*h(d). Determine c so that m(c) = 0.
-74
Let c(f) be the third derivative of -f**6/24 - 29*f**5/20 - 19*f**4/4 - 16*f**3/3 - 902*f**2. Factor c(n).
-(n + 1)*(n + 16)*(5*n + 2)
Let l(t) be the first derivative of -7*t**5/20 + 1235*t**4/4 - 72981*t**3 + 185504*t**2 + 123904*t - 4948. Find x, given that l(x) = 0.
-2/7, 2, 352
Let k = 407804 + -407801. Factor 2/3*b**k - 4*b**2 + 0 + 10/3*b.
2*b*(b - 5)*(b - 1)/3
Let j = -32966/15 - -11112/5. Solve -j*b - 16/3 - 3*b**2 = 0 for b.
-8, -2/9
Let j be (-12543)/(-1582) - 8 - 1*(-1)/14. What is u in 2/7*u**2 + 2/7*u**3 + 0 + j*u = 0?
-1, 0
Determine z so that 206 + 7*z + 2*z**3 + 750*z**2 - 548*z**2 - 417*z = 0.
-103, 1
Factor -3692 - 1621*l - 3152 - 401 - 3*l**2 - 803*l.
-3*(l + 3)*(l + 805)
Let m = 436552/7 - 62356. Let -4/7*a**4 - 192/7*a**2 - m - 72/7*a**3 - 184/7*a = 0. What is a?
-15, -1
Let p be (5 - (-1872)/(-378))/((-3)/(-72)). Find j, given that -2/7*j**3 + 0*j + p*j**2 + 0 = 0.
0, 4
Let q(a) be the first derivative of -a**6/33 + 16*a**5/55 - 13*a**4/22 + 4*a**3/11 + 692. Factor q(x).
-2*x**2*(x - 6)*(x - 1)**2/11
Let v(t) be the third derivative of 0*t**4 + 0*t**5 + 0*t + 0*t**3 - 1/420*t**8 + 1/200*t**6 + 21 + t**2 + 11/1050*t**7. Let v(m) = 0. Calculate m.
-1/4, 0, 3
Let p(u) be the third derivative of u**7/1995 - 293*u**6/570 + 85849*u**5/570 + 14621*u**2. Let p(q) = 0. Calculate q.
0, 293
Let s(h) be the second derivative of 5*h**4/12 + 565*h**3/3 - 1135*h**2/2 - h + 388. Factor s(b).
5*(b - 1)*(b + 227)
Let w(n) = n**3 - 5*n**2 + n. Let u(z) = -z**4 + 31*z**3 - 117*z**2 - 261*z - 147. Let b(f) = 2*u(f) - 10*w(f). Factor b(a).
-2*(a - 21)*(a - 7)*(a + 1)**2
Suppose -5*u + 10 = 4*a, 1063*u = 1059*u - 2*a + 8. Suppose -15*k**u + 65/3*k - 80/3*k**4 - 200/3*k**3 - 10/3 = 0. Calculate k.
-2, -1, 1/4
Let h(u) be the third derivative of -u**8/10080 + u**7/252 + 11*u**6/360 - 2*u**5/3 + 62*u**2. Let y(j) be the third derivative of h(j). Solve y(t) = 0.
-1, 11
Let c(l) be the first derivative of -l**6/6 - 5*l**5/4 - 5*l**4/3 - 58*l + 111. Let y(b) be the first derivative of c(b). Solve y(a) = 0.
-4, -1, 0
Let d(s) be the first derivative of 2*s**6 - 237*s**5 + 3195*s**4/4 - 865*s**3 + 285*s**2/2 + 288*s + 890. Suppose d(g) = 0. What is g?
-1/4, 1, 96
Let h(l) be the third derivative of 31*l**5/450 + 49*l**4/90 + l**3/3 + 9*l**2. Solve h(o) = 0 for o.
-3, -5/31
Let q(o) be the first derivative of 3*o**5/70 - o**4/21 - 4*o**3/7 + 8*o**2/7 + 98*o + 64. Let z(i) be the first derivative of q(i). Let z(d) = 0. Calculate d.
-2, 2/3, 2
Let s(x) = 9*x**5 + x**4 + 4*x**3 + 22*x**2 - 8*x - 23. Let c(v) = 2*v**5 + v**4 - v - 1. Let g(h) = -15*c(h) + 3*s(h). Solve g(f) = 0.
-3, -1, 1, 2
Let j be ((-4)/(-2))/(-15 + (-770)/(-50)). Let i(k) be the third derivative of -5/3*k**3 + 1/24*k**6 - 5/8*k**4 + 0*k + 0 + 0*k**j + 9*k**2. Solve i(q) = 0.
-1, 2
Let w(b) be the third derivative of -b**7/350 + b**6/120 + b**5/300 - b**4/24 + b**3/15 - 1145*b**2. Let w(o) = 0. Calculate o.
-1, 2/3, 1
Let b(h) be the third derivative of -h**7/1050 + 7*h**6/150 - 11*h**5/150 - 11*h**4/10 - 27*h**3/10 + 5*h**2 + 5*h - 33. Factor b(c).
-(c - 27)*(c - 3)*(c + 1)**2/5
Let y(t) be the second derivative of -3*t**5/20 + 9*t**4 + 201*t**3/2 + 246*t**2 - 357*t + 2. Factor y(p).
-3*(p - 41)*(p + 1)*(p + 4)
Let j(s) be the first derivative of s**5/120 - 7*s**4/72 + 11*s**3/36 - 5*s**2/12 + 31*s + 115. Let h(k) be the first derivative of j(k). Factor h(f).
(f - 5)*(f - 1)**2/6
Find t such that -1/3*t**3 - 450*t**2 + 913952/3 - 151424*t = 0.
-676, 2
Let r = 134249 - 1476737/11. Find p such that 0 - 12/11*p**2 + 16/11*p + r*p**3 = 0.
0, 2, 4
Let b be 380/9120 + (-62)/(-816). Suppose 10/17*r**3 - b*r**4 + 0 - 12/17*r**2 + 0*r = 0. What is r?
0, 2, 3
Suppose -3*q + 37 = 4*g, -10*q + 5*q = g - 39. Let y be (-5 - (q - 17)) + (-44)/10. Determine w so that -2/5*w**3 + 4/5 - y*w**2 + 1/5*w**4 + 4/5*w = 0.
-1, 2
Let w be 3 + 4 + -3*2/6. Suppose 3*i**2 + i**2 - 57 - w*i - i**2 + 48 = 0. What is i?
-1, 3
Suppose 0 = 2*i - 7*i. Factor i*w**2 - 7*w**2 + 3*w**2 + 7*w**2 + 3*w.
3*w*(w + 1)
Let t(v) be the first derivative of -v**7/126 - 13*v**6/360 - v**5/45 + v**4/18 - 2*v**2 - 67. Let s(w) be the second derivative of t(w). Factor s(d).
-d*(d + 1)*(d + 2)*(5*d - 2)/3
Let m = -123228 - -123230. Factor 1/9*k**m + 289/9 - 34/9*k.
(k - 17)**2/9
Let o = 43526 + -131840/3. Let a = -420 - o. Factor 4/3 - 8/3*v**4 - 10/3*v + 8/3*v**3 + a*v**5 + 4/3*v**2.
2*(v - 2)*(v - 1)**3*(v + 1)/3
Let k = -7318 - -7322. Let w(h) be the first derivative of 1/10*h**5 - 23 + 5/6*h**3 - 1/2*h**k - 1/2*h**2 + 0*h. Factor w(z).
z*(z - 2)*(z - 1)**2/2
Suppose 2*y = -2, -4*l + 1242 - 2 = 4*y. Factor -5*b**2 - 31*b**2 + 68*b + 729 + 94*b**2 - b**3 - l*b - 31*b**2.
-(b - 9)**3
L