- 12*b - 106. Find o, given that v(o) = 0.
-7, -3, -2, -1, 2
Let m(k) = 5*k**3 - 245*k**2 - 489*k - 247. Let s(n) = 17*n**3 - 736*n**2 - 1467*n - 742. Let a(v) = -7*m(v) + 2*s(v). Let a(j) = 0. Calculate j.
-1, 245
Let g = 3115277/7788205 + 1/1557641. Factor 4 - g*f**2 + 18/5*f.
-2*(f - 10)*(f + 1)/5
Suppose -3*w + 263 = 47. Find a such that -218*a**2 - 12*a**3 + 314*a**2 + 28*a - 20*a**5 - 24 - w*a**4 + 4*a**3 = 0.
-3, -1, 2/5, 1
Let x(s) = -5*s**4 - 50*s**3 + 935*s**2 + 3190*s + 2175. Let k(i) = 5*i**4 + 49*i**3 - 944*i**2 - 3188*i - 2172. Let p(y) = -5*k(y) - 4*x(y). Solve p(u) = 0.
-18, -2, -1, 12
Let j = 8879 + -8873. Let n(i) be the second derivative of j*i + i**4 + 2/5*i**5 + 4/3*i**3 + 1/15*i**6 + 0 + i**2. Find v such that n(v) = 0.
-1
Let q(d) be the first derivative of -2/9*d**3 + 7 - 1/18*d**4 - 12*d + 0*d**2. Let g(i) be the first derivative of q(i). Suppose g(f) = 0. What is f?
-2, 0
Factor 9/2*q**2 - 15/2 - 3/4*q**3 - 9/4*q.
-3*(q - 5)*(q - 2)*(q + 1)/4
Suppose 73 = 5*p - 132. Suppose -3*f + x + 46 = 0, -p = -3*f - x - 3. Let f*b + 13*b + b**2 + 0*b**2 + 1 - 25*b = 0. Calculate b.
-1
Let r(s) be the second derivative of s**4/3 + 338*s**3/3 - 1032*s**2 - 2240*s. Factor r(c).
4*(c - 3)*(c + 172)
Suppose 0*r - r - 4 = -6. Let o(b) be the first derivative of 0*b + 9/8*b**r + 12 - 1/4*b**3. Find g, given that o(g) = 0.
0, 3
Let i(a) = -20*a**3 + 640*a**2 + 1324*a + 696. Let n(r) = 13*r**3 - 427*r**2 - 883*r - 463. Let g(b) = 5*i(b) + 8*n(b). Factor g(k).
4*(k - 56)*(k + 1)**2
Solve 34 - 65*v**2 + 316 - 115*v**2 + 104*v + 30*v + 31*v + 5*v**3 = 0 for v.
-1, 2, 35
Let v(f) = -2*f**3 - 71*f**2 - 495*f. Let h(q) = -4*q**3 - 142*q**2 - 985*q. Let i(d) = 6*h(d) - 13*v(d). Solve i(u) = 0 for u.
-25, -21/2, 0
Let w(z) = z**2 - 81*z + 3. Let a(o) = -2*o**2 + 242*o - 8. Suppose -9 = -12*f + 9*f. Let x(s) = f*a(s) + 8*w(s). Suppose x(v) = 0. What is v?
-39, 0
Let w be -5*30/(-25) - (-30)/(-5). Let n(y) be the second derivative of -2/5*y**2 + 7/50*y**5 + 3*y - 7/15*y**3 + w + 1/15*y**4. Factor n(f).
2*(f - 1)*(f + 1)*(7*f + 2)/5
Factor -4/7*v**2 + 480/7 + 34/7*v.
-2*(v - 16)*(2*v + 15)/7
Let v(l) be the third derivative of -l**7/1120 - l**6/160 - 145*l**3/6 - 4*l**2 + 3. Let q(k) be the first derivative of v(k). Find f such that q(f) = 0.
-3, 0
Let l(v) be the third derivative of v**7/1260 - v**6/90 - 15*v**4/8 - 34*v**2 - 1. Let r(z) be the second derivative of l(z). Determine n, given that r(n) = 0.
0, 4
Let f be (0 - -31)/((-363)/(-187) - 2). Let g = -2631/5 - f. Factor -g*b**4 - 4/5*b**3 + 8/5*b**2 + 0 + 0*b.
-4*b**2*(b - 1)*(b + 2)/5
Suppose -3*a - 92 = -5*h - a, 40 = h + 5*a. Suppose -17*z**3 - 393*z + 4394 - 429*z**2 - 193*z - 597*z - z**4 - h*z**3 = 0. Calculate z.
-13, 2
Let q(x) = -x**3 + 3*x**2 + 9*x + 8. Let g be q(5). Factor -2 + 118*w + 3*w**3 + 3*w**2 - w**4 - 119*w - g*w**3 + w**3.
-(w - 2)*(w - 1)*(w + 1)**2
Suppose -2*o + 5520 = 14*o. Let r = -313 + o. Let r*c**2 - 32/3*c**3 + 64/3 + 4/3*c**4 - 128/3*c = 0. What is c?
2
Let n(s) = s**3 - 18*s**2 + 20*s + 24. Let j be n(17). Determine d, given that 3*d**3 + 0*d + 0*d - 78*d**2 + 3*d**4 - 3*d**5 + j*d**2 = 0.
-1, 0, 1
Let o(q) be the first derivative of -1/3*q**3 + 270 + 30*q - 7/2*q**2. Factor o(u).
-(u - 3)*(u + 10)
Let s = 31957/29580 - 27/1972. Solve -2/15*z**4 - 2/3*z**3 - 4/5*z**2 + s + 8/15*z = 0 for z.
-2, 1
Factor -1/7*s**3 + 75/7*s**2 + 0*s + 0.
-s**2*(s - 75)/7
Let i(x) = -14*x**2 - 28*x + 90. Let b(f) = 13*f**2 + 31*f - 90. Let w(v) = -6*b(v) - 4*i(v). Factor w(m).
-2*(m + 5)*(11*m - 18)
Let q(x) be the first derivative of -5*x**3/3 - 615*x**2/2 + 1250*x + 815. Factor q(g).
-5*(g - 2)*(g + 125)
Let y = 3149/3 + -25183/24. Let w(j) be the first derivative of -1/3*j**3 - y*j**4 + 33 - 4*j + 1/10*j**5 + 3*j**2. Factor w(x).
(x - 2)**2*(x - 1)*(x + 2)/2
Let c be (-2)/8 - 15*(-21)/140. Let a(l) be the second derivative of -3/20*l**5 - 1/2*l**4 + 3/2*l**3 + 0 - 3*l + 0*l**c. Solve a(h) = 0.
-3, 0, 1
Suppose -3*v + 15 = 2*v. Find i, given that i**3 + 16*i**2 + 11*i**2 - 25*i - 37*i**2 - 2*i**v = 0.
-5, 0
Let o(c) be the first derivative of -c**5 - 395*c**4/4 + 1220*c**3/3 - 410*c**2 + 638. Factor o(s).
-5*s*(s - 2)*(s - 1)*(s + 82)
Let t(b) be the third derivative of b**5/60 + 5*b**4/8 - 8*b**3 - b**2 + 42*b. Let a(p) = 8*p - 24. Let k(w) = -7*a(w) + 4*t(w). Let k(v) = 0. What is v?
-3, 2
Suppose -4536/5 - 54/5*u**2 + 324*u + 3/5*u**4 - 33/5*u**3 = 0. Calculate u.
-7, 6
Suppose -o + 4*f - 8*f = -31, -2*o - 5*f = -59. Let p = -2 - -13. Factor 5 + 27*v - o*v + 6*v**2 - p*v**2.
-5*(v - 1)*(v + 1)
Determine f, given that 9973545140*f**2 - 6288490*f**3 - 1/4*f**5 - 7909021296020*f + 2508741555097544 + 3965/2*f**4 = 0.
1586
Let v(k) be the second derivative of 33/20*k**5 - 162*k**3 + 18*k**4 + 1/30*k**6 + 0*k**2 + 0 - 214*k. Solve v(r) = 0.
-18, 0, 3
Find f such that 704/3 + 24*f - 2/3*f**2 = 0.
-8, 44
Let r = -1797/28 + 257/4. Let u(p) be the first derivative of -16 + 1/35*p**5 - 1/21*p**3 - 1/7*p**2 + 0*p + r*p**4. Suppose u(f) = 0. Calculate f.
-2, -1, 0, 1
Let u(t) = -14*t**2 + 153*t + 11. Let m be u(11). Let p(r) be the first derivative of 16 + 4/3*r**3 + r**4 + m*r**2 - 4/5*r**5 - 2/3*r**6 + 0*r. Factor p(k).
-4*k**2*(k - 1)*(k + 1)**2
Let s(b) be the third derivative of -b**8/672 + 3*b**7/140 + 11*b**6/240 - 3*b**5/40 - 5*b**4/24 + 7*b**2 + 58. Find l, given that s(l) = 0.
-1, 0, 1, 10
Let b(d) = -430*d**2 + 886*d**2 + 85*d - 55 - 436*d**2. Let q(v) = 5*v**2 + 21*v - 14. Let p(o) = 6*b(o) - 25*q(o). Factor p(a).
-5*(a - 1)*(a + 4)
Let u = 6361/38310 + 4/6385. Let d(l) be the first derivative of 3/5*l**5 - u*l**6 + 1/3*l**3 - 21 + 0*l - 3/4*l**4 + 0*l**2. Factor d(a).
-a**2*(a - 1)**3
Suppose -5*d - 1544 = -2*q, 4*q + 3*d - 3144 = -d. Let u = q + -780. Suppose -13/6*h**u + 25/12*h**3 + 0 - 1/3*h**4 + 5/12*h = 0. What is h?
0, 1/4, 1, 5
Suppose -4*z - 4*c - 22 + 2 = 0, 3*z + 4*c + 17 = 0. Let l = z - -8. Factor -2*x**3 + 4*x**3 - l*x**5 + 3*x**5.
-2*x**3*(x - 1)*(x + 1)
Suppose -1 = -s, -4*r + 9 = -s - 2. Find o such that r*o**2 + 7*o + 1285 - 1267 - 36*o = 0.
2/3, 9
Suppose 63*p - 58*p = 15. Let n(s) be the first derivative of 1/3*s**p + 16 - 8*s + s**2. Factor n(b).
(b - 2)*(b + 4)
Suppose -24*t - 20 = -4*t. Let d be 4 + (t + 0 - (7 + -7)). Solve 0 - 18/7*u**d - 10/7*u**4 - 2*u**2 - 2/7*u**5 - 4/7*u = 0 for u.
-2, -1, 0
Factor -12 - 20*k + 36*k**2 + 28*k**4 - 4 - 580363*k**3 + 580431*k**3.
4*(k + 1)**3*(7*k - 4)
Let d = -2257/119 + 667427/1309. Factor 6/11*o**2 + 360/11*o + d.
6*(o + 30)**2/11
Let c(i) be the first derivative of 7/12*i**4 - 8/9*i**3 + 54 - 5/6*i**2 + 2*i. Find l such that c(l) = 0.
-6/7, 1
What is l in 306*l + 792*l**2 - 263*l**2 - 249*l**2 - 3*l**3 - 247*l**2 = 0?
-6, 0, 17
Let z = 88411/5 - 17682. Let t = 1/59 + 113/295. Determine u so that 0 - z*u**3 - 1/5*u + t*u**2 = 0.
0, 1
Factor -472*i - 488 - 86*i**2 + 32*i**2 + 232*i + 26*i**2 + 30*i**2.
2*(i - 122)*(i + 2)
Let b(o) be the third derivative of -o**5/210 - 43*o**4/3 - 51772*o**3/3 - 5*o**2 + 98. Suppose b(q) = 0. Calculate q.
-602
Let 0 - 108*p**2 + 0*p**4 + 3/4*p**5 - 96*p - 33*p**3 = 0. What is p?
-4, -2, 0, 8
Let -7*y + 1/3*y**2 + 80/3 = 0. Calculate y.
5, 16
Let m be 5 + (-203)/42 - (2 + 164/(-24)). Let y(b) be the second derivative of -8*b**3 - 1/20*b**m + 0 - 10*b - b**4 - 32*b**2. Factor y(f).
-(f + 4)**3
Let u = 5004 - 4996. Let b(q) be the first derivative of -4/5*q**5 - 36 + 0*q + 0*q**3 + 0*q**2 - u*q**4. Suppose b(l) = 0. What is l?
-8, 0
Let s be (4/(16/(-3578)))/(-2). Let n = s - 446. Let -15/4*g**2 + 0*g + 0 + n*g**3 = 0. What is g?
0, 3
Let h = 44364 + -25181. Factor -3*w**4 + 242 - h*w**3 + 19206*w**3 + 77*w - 141*w**2 + 2*w**4.
-(w - 11)**2*(w - 2)*(w + 1)
Solve 24/13*p + 86/13*p**5 + 0 - 160/13*p**4 - 110/13*p**3 + 160/13*p**2 = 0.
-1, -6/43, 0, 1, 2
Factor -12/7*s - 144/7 + 2/7*s**2.
2*(s - 12)*(s + 6)/7
Suppose -62*b = -67*b - 3*h + 14, -b - 6 = 5*h. Let m(i) be the first derivative of -3*i - 21/10*i**5 - 27/2*i**3 + 69/8*i**b + 39/4*i**2 - 11. Factor m(p).
-3*(p - 1)**3*(7*p - 2)/2
Let s(r) = -6*r**2 - 7*r - 41. Let m = -120 + 183. Let p(x) = -x**2 - 33 + x + m - 31. Let d(n) = 5*p(n) - s(n). Factor d(g).
(g + 6)**2
Let p be -6 + -2*15/(-3). Find q such that 9*q - 15*q + p