 19*n - 70 = 5*n. Suppose n*r + 20*r = 0. Find o such that -8/13 + 6/13*o**2 + r*o - 2/13*o**3 = 0.
-1, 2
Let t be (-204)/(-18) - (6 - 27)*(-3)/9. Let 1/3*k**2 + 0 + t*k = 0. Calculate k.
-13, 0
Let m = 3 + 4. Suppose 5*s - b - 148 = 0, 2*b - 71 = 4*s - 187. Factor 65 - 20 - 8*r**2 + 20*r**2 - s*r - m*r**2.
5*(r - 3)**2
Suppose 2392/9*d**3 + 86/3*d**4 + 724*d**2 - 4/9*d**5 + 444*d - 438 = 0. What is d?
-3, 1/2, 73
Let m(b) be the second derivative of 0*b**2 + 26 - b + 1/30*b**5 - 5/72*b**4 - 1/180*b**6 + 1/18*b**3. Let m(q) = 0. What is q?
0, 1, 2
Let m = 329/2508 - 10/209. Let z(i) be the third derivative of -29*i**2 + 0*i - m*i**5 + 0 - 10/3*i**3 - 5/6*i**4. Factor z(v).
-5*(v + 2)**2
Let q(i) be the second derivative of 13/3*i**4 - 28/3*i**3 + 11/60*i**6 - 1/84*i**7 + 12*i**2 + 0 + 7*i - 6/5*i**5. Solve q(g) = 0 for g.
2, 3
Determine y so that 148/5*y - 4/5*y**4 - 148/5*y**3 - 28*y**2 + 144/5 = 0.
-36, -1, 1
Let i(j) be the third derivative of -7*j**6/660 - 37*j**5/165 - 10*j**4/33 + 1831*j**2. Factor i(s).
-2*s*(s + 10)*(7*s + 4)/11
Let 3*t**2 + 342127*t**3 - 342135*t**3 + t**4 + 14*t + 2*t**2 = 0. What is t?
-1, 0, 2, 7
Factor -35/2 + 1/4*q**3 + 0*q**2 - 39/4*q.
(q - 7)*(q + 2)*(q + 5)/4
Let j(t) be the third derivative of t**7/105 + 9*t**6/10 - 238*t**5/15 + 102*t**4 - 992*t**3/3 + 110*t**2 + 7*t. Factor j(r).
2*(r - 4)*(r - 2)**2*(r + 62)
Let q = -16165 - -32429/2. Let j(u) be the first derivative of -q*u**4 + 27*u**2 - 54*u**3 - 2 + 0*u - 14*u**5 - 4/3*u**6. Factor j(w).
-2*w*(w + 3)**3*(4*w - 1)
Let x = 467/1330 - -13/266. Let s = -1163/5 - -235. Find j, given that -x*j - s + 2/5*j**2 = 0.
-2, 3
Let o = -20621/4620 + 148/33. Let t(j) be the second derivative of 0 + 0*j**6 + 0*j**3 + 2*j - o*j**5 + 0*j**4 + 0*j**2 + 1/98*j**7. Factor t(n).
3*n**3*(n - 1)*(n + 1)/7
Let c = -11/3631 + 10915/7262. Find w such that -12*w + c*w**3 + 15/2*w**2 - 72 = 0.
-4, 3
Let c be -8 - (1 - -4) - -15. Let x(y) be the second derivative of 0 - c*y**3 - 11*y + 5/4*y**4 + 6/5*y**2. Factor x(g).
3*(5*g - 2)**2/5
Let m(g) be the third derivative of 11*g**5/24 - 9*g**4/8 + 2*g**3/3 - 6*g**2 - 24*g. Factor m(y).
(5*y - 4)*(11*y - 2)/2
Let o(z) be the first derivative of z**6/4 - 21*z**5/10 - 33*z**4/2 + 64*z**3 + 120*z**2 - 600*z + 5579. Determine q, given that o(q) = 0.
-5, -2, 2, 10
Factor -63*z - 137*z + 598*z**2 + 194*z**4 + 79*z**5 - 594*z**3 - 77*z**5.
2*z*(z - 1)**3*(z + 100)
Factor -6456/5*q - 3*q**2 + 3879/5.
-3*(q + 431)*(5*q - 3)/5
Let t(p) be the first derivative of 2*p**3/3 + 380*p**2 + 72200*p - 1066. Factor t(a).
2*(a + 190)**2
Solve 122*w + 110*w - 34*w**2 - 41*w**2 + 160 + 4*w**4 - 41*w**2 + 104*w**2 - 80*w**3 = 0.
-1, 2, 20
Let i(d) = 20*d**4 - 305*d**3 - 6*d**2 + 312*d. Let v(n) = -6*n**4 + 102*n**3 + 2*n**2 - 104*n. Let m(t) = -4*i(t) - 14*v(t). Factor m(j).
4*j*(j - 52)*(j - 1)*(j + 1)
Factor -5323*g - 3 + g**3 + 5325*g + 5*g**2 - 5.
(g - 1)*(g + 2)*(g + 4)
Let i be (-115 - -1)*4/(-24)*2. Suppose 39 = q + i. Let n(x) = x**2 - x. Let h(k) = -4*k**2 + 6*k. Let c(y) = q*h(y) + 2*n(y). Factor c(u).
-2*u*(u - 2)
Let o be (-142204)/14610*(0 - 15). Determine x so that 64/3 - 120*x + 15*x**4 + 668/3*x**2 - o*x**3 = 0.
2/5, 2/3, 8
Let i be (-2)/8*(-1500)/250*12/9. Let -10/9 + 2/9*f**i + 8/9*f = 0. What is f?
-5, 1
Let f(r) be the third derivative of 0*r**5 + 0 + 22*r + r**2 + 1/70*r**7 + 3/40*r**6 + 0*r**3 + 0*r**4. Solve f(c) = 0.
-3, 0
Let x(v) = -v**4 + v**3 + v**2 + 1. Let u = -404 + 405. Let b(o) = 6*o**4 - 4*o**3 - 4*o**2 - 4*o - 10. Let s(l) = u*b(l) + 10*x(l). Factor s(g).
-2*g*(g - 2)*(g + 1)*(2*g - 1)
Suppose -36*g - 28*g = -17*g. Let s(c) be the third derivative of 0*c - 1/280*c**6 - 1/1470*c**7 + 1/56*c**4 + 1/21*c**3 - 1/420*c**5 + g - 3*c**2. Factor s(k).
-(k - 1)*(k + 1)**2*(k + 2)/7
Let p = -40 - -37. Let t be 1/p - ((-114)/18 + 2). Factor -2*l**3 + 5*l**2 - 2*l**2 + 3*l**4 + 2*l**t - 6*l**4.
-l**2*(l - 1)*(l + 3)
Let o = -183 + 139. Let v be ((231/o)/(-21))/((-2)/(-16)). Suppose -16/7*r - 6/7*r**v - 8/7 = 0. What is r?
-2, -2/3
Let y be 2*25 + 2/(-4)*4. Let d = -9385 - -9393. Factor -d*u + y + 1/3*u**2.
(u - 12)**2/3
Suppose 220*h - 144 = 296. Let b(m) = -m**2 + 3*m. Let f be b(3). Factor 3/2*j**h + f - 1/2*j.
j*(3*j - 1)/2
Let l = -4119/53 + 25789/265. Solve -152*p - l*p**3 + 80 + 476/5*p**2 = 0 for p.
10/7, 2
Let p(a) be the second derivative of 40/3*a**3 + 3 - 5/12*a**4 + a - 160*a**2. Factor p(m).
-5*(m - 8)**2
Let o be 56/(-10) + -1 - (-42)/70. Let q be 5 - ((-4)/2)/(4/o). Factor 5*z**q + 0*z**3 - z + 5*z**3 - 9*z.
5*z*(z - 1)*(z + 2)
Let n(c) be the third derivative of 0 + 0*c + 0*c**3 + 1/21*c**7 + 5/8*c**4 - 1/3*c**5 + 27*c**2 - 5/24*c**6. Factor n(p).
5*p*(p - 3)*(p + 1)*(2*p - 1)
Let s(u) = -3*u**2 + 760*u + 851. Let h(a) = -2*a**2 + 380*a + 430. Let w(i) = 11*h(i) - 6*s(i). Find f such that w(f) = 0.
-94, -1
Let m(p) be the second derivative of p**5/140 - p**4/12 + 5*p**3/21 + 17*p + 5. Factor m(y).
y*(y - 5)*(y - 2)/7
Let o(w) = -540*w - 50758. Let h be o(-94). Suppose -75/2*b + 0 + 50*b**3 + 65/2*b**h = 0. What is b?
-5/4, 0, 3/5
Factor 5*w**3 + 167*w - 3385 + 225*w**2 + 609*w + 4680 - 50*w + 789*w.
5*(w + 1)*(w + 7)*(w + 37)
Let d(w) be the second derivative of 0 + 70*w + 3/40*w**5 + 12*w**2 + 9/8*w**4 + 6*w**3. Factor d(u).
3*(u + 1)*(u + 4)**2/2
Suppose 3*w = -3*w + 342. Let i = w + -54. Factor 24*u - 2*u**i - 8*u - 4*u**4 - 10*u**3.
-4*u*(u - 1)*(u + 2)**2
Let w(t) be the second derivative of 2*t**6/45 + 127*t**5/15 + 496*t**4/9 + 328*t**3/3 + 20*t + 111. Suppose w(y) = 0. What is y?
-123, -2, 0
Let h(g) = -3*g**4 - g**3 + g**2 - g - 5. Let k(f) = 25*f**4 + 245*f**3 - 6483*f**2 - 28783*f - 29723. Let q(a) = -9*h(a) - k(a). Solve q(r) = 0 for r.
-2, 61
Let z(o) be the first derivative of 28561*o**4/42 - 676*o**3/21 + 4*o**2/7 - 95*o + 15. Let i(b) be the first derivative of z(b). Factor i(k).
2*(169*k - 2)**2/7
Factor 14822*k**2 + 39*k - 14819*k**2 - 141*k.
3*k*(k - 34)
Let n(p) be the third derivative of p**6/540 + 7*p**5/270 - 65*p**4/54 + 224*p**3/27 + 10*p**2 + 377*p. Suppose n(y) = 0. What is y?
-16, 2, 7
Let x(o) = -8*o**2 + 18767*o - 11026361. Let s(y) = -y**2 + 2346*y - 1378294. Let v(t) = -51*s(t) + 6*x(t). Factor v(m).
3*(m - 1174)**2
Let u = -808 - -801. Let d(r) = -32*r - 221. Let z be d(u). Factor 0 + 0*y + 4/11*y**2 - 6/11*y**z + 2/11*y**4.
2*y**2*(y - 2)*(y - 1)/11
Let 6*l**3 - 384/7 + 32/7*l**4 - 572/7*l**2 + 880/7*l + 2/7*l**5 = 0. What is l?
-12, -8, 1, 2
Determine y, given that -12/5*y**2 + 274*y - 228/5 = 0.
1/6, 114
Solve -20*a**5 - 4737*a - 5315*a - 3320*a**3 - 785*a**2 + 13392*a - 740 + 1525*a**4 = 0.
-1, 1/4, 1, 2, 74
Let g = 31 + -28. Suppose 11*u = 52 + g. Find p, given that 2*p - u - 1/5*p**2 = 0.
5
Let j(n) = 39*n**3 - 35892*n**2 + 8252550*n + 8288265. Let x(p) = 3*p**3 - 2761*p**2 + 634811*p + 637559. Let u(h) = 2*j(h) - 27*x(h). Solve u(s) = 0.
-1, 461
Let f = -67 + 70. Determine u so that -54*u**2 - 21*u**f - 6*u - 69*u + 15*u - 3*u**4 - 24 = 0.
-2, -1
Let f be (-4)/45*-3*170/272. Let o(y) be the second derivative of 0 - 1/48*y**4 + 11*y + f*y**3 - 3/8*y**2. Factor o(s).
-(s - 3)*(s - 1)/4
Let i be -31 + ((-4992)/(-80) - 31). Solve 4*t**3 - 22/5 + 24/5*t**2 - 4*t - i*t**4 = 0 for t.
-1, 1, 11
Determine i, given that -6*i**5 - 1668*i + i**2 + 1477*i**2 + 3*i**5 + 352*i**2 + 637 + 156*i**4 - 867*i**3 - 85 = 0.
1, 2, 46
Let b(m) be the first derivative of -m**5/10 - 5*m**4/2 - 103*m**3/6 - 21*m**2 + 5402. Solve b(d) = 0.
-12, -7, -1, 0
Let m(b) be the first derivative of -200*b + 144 + 4*b**3 - 1/2*b**4 + 15*b**2. Factor m(w).
-2*(w - 5)**2*(w + 4)
What is o in -80*o - 1/2*o**4 - 15/2*o**3 - 48 - 39*o**2 = 0?
-6, -4, -1
Suppose 0 = -4*p - 3*p. Suppose p = -3*z - 0*z + 222. Factor 6*o**3 + 3*o - o**5 + 74 + 8*o**2 - z.
-o*(o - 3)*(o + 1)**3
Let q(u) be the first derivative of -28*u**5/15 + 20*u**4 - 104*u**3/3 + 8*u**2/3 + 28*u - 9360. Solve q(j) = 0.
-3/7, 1, 7
Let j be 4/(-14) + 26720/(-70). Let v = 385 + j. What is o in 4/5*o**4 + 0 - 32/5*o**2 + 48/5*o - 4/5*o**v = 0?
-3, 0, 2
Let q be (7 - 100/16) + 1/4. Suppose -7*l = -20 - q. What is d in 9*d + 8*d**2 + 6 - 1269*d**l + 4*d + 1270*d**3 = 0?
-6, -1
Let w(z) be the second derivative of z**6/40 + 21*z**5/2 + 9659*z**4/8 - 4935*z**3 +