 564*n + 1162. Let w(c) = -6*o(c) - 7*s(c). Let w(u) = 0. What is u?
-584, 2
Let g(z) be the first derivative of 68 + 16/9*z**3 - 4/5*z**5 - 5/3*z**4 + 8/3*z**2 + 0*z. What is l in g(l) = 0?
-2, -2/3, 0, 1
Factor -514/19*k - 2/19*k**5 - 1544/19*k**2 - 1548/19*k**3 + 0 - 520/19*k**4.
-2*k*(k + 1)**3*(k + 257)/19
Let z(o) be the third derivative of 39/4*o**4 + 11*o - 1/20*o**5 - 1521/2*o**3 + 0 + 4*o**2. Let z(i) = 0. Calculate i.
39
Suppose 168*m = 173*m + 3*l - 63, 5*m = l - 1. Factor 19/4*u**2 + 0 + 2*u**m - 1/4*u**4 + 5/2*u.
-u*(u - 10)*(u + 1)**2/4
Let b(y) be the third derivative of y**6/160 + 27*y**5/20 + 3021*y**4/32 + 2809*y**3/4 - 1474*y**2. Factor b(l).
3*(l + 2)*(l + 53)**2/4
Let c(p) = -3*p**2 + 10 - 1 - 2*p**2 + 4*p**2 - 8. Let k(y) = 11*y**2 + 100*y - 226. Let f(s) = 6*c(s) + k(s). Solve f(n) = 0 for n.
-22, 2
Factor 1472/5*z**2 + 0 + 372/5*z**4 - 1484/5*z**3 + 16/5*z.
4*z*(z - 2)**2*(93*z + 1)/5
Let g(i) be the first derivative of 15*i**4/14 - 34*i**3/21 - 62*i**2/7 + 128*i/7 - 121. Let g(j) = 0. Calculate j.
-2, 1, 32/15
Suppose c = 3*c + 6*m + 14 - 46, 0 = -c + m. Solve 8/7*t**2 + 20/7*t**5 + 0 - 14*t**c + 24/7*t - 134/7*t**3 = 0.
-1, -1/2, 0, 2/5, 6
Suppose 3/5*j**3 + 588744/5*j - 586092/5 - 531*j**2 = 0. Calculate j.
1, 442
Let p = -304 - -317. Suppose -p*r + 6 = 6. What is x in 3/4*x**2 + 0*x + r + 3/4*x**4 + 3/2*x**3 = 0?
-1, 0
Let q(y) be the second derivative of y**9/9240 + y**8/3360 + y**7/6930 + y**4/12 + 9*y**2/2 - 26*y. Let j(x) be the third derivative of q(x). Factor j(i).
2*i**2*(i + 1)*(9*i + 2)/11
Let c be 8 + 6/9 - 220/(-165). Suppose 1/5 - c*m**5 - 13/10*m + 221/10*m**3 - 5/2*m**2 - 17/2*m**4 = 0. Calculate m.
-2, -1/4, 1/5, 1
Factor 46/9*r**2 + 16/3 + 95/9*r - 1/9*r**3.
-(r - 48)*(r + 1)**2/9
Let x(p) be the second derivative of -p**6/15 + p**5/5 + 34*p**4/3 + 40*p**3 + 960*p. Determine r, given that x(r) = 0.
-6, -2, 0, 10
Suppose 400*b = -426 + 1626. Factor 1/2*k**5 + 0 + 0*k**4 + 36*k - 19/2*k**b + 3*k**2.
k*(k - 3)**2*(k + 2)*(k + 4)/2
Let b(z) be the second derivative of -2/135*z**6 + 8/9*z**2 + 1 - 14/27*z**3 + 33*z + 11/90*z**5 - 1/6*z**4. Find q such that b(q) = 0.
-1, 1/2, 2, 4
Let j = 90/7 + -256/21. Let h = -1131 + 1131. Factor j*z**4 + h + 4/3*z - 2/3*z**2 - 4/3*z**3.
2*z*(z - 2)*(z - 1)*(z + 1)/3
Let i(f) be the second derivative of f**5/110 + 130*f**4/33 - 529*f**3/11 + 2394*f**2/11 + 13912*f. Factor i(r).
2*(r - 3)**2*(r + 266)/11
Factor 76*i + 2/3*i**2 + 0.
2*i*(i + 114)/3
Let v(i) = -6*i**2 - 17*i + 7. Let h be v(-3). Let x be (-384)/(-144)*3/h. Factor -6/11*o**x + 12/11 - 6/11*o.
-6*(o - 1)*(o + 2)/11
Let l(x) be the second derivative of x**4/48 - 59*x**3/24 + 2*x + 71. What is r in l(r) = 0?
0, 59
Suppose 16 = -10*q + 126. Let b be (-5)/(-20) - q/(-4). Suppose -b*t**2 - t**2 - t + 3*t + 3*t**2 = 0. Calculate t.
0, 2
Let g(j) be the second derivative of -2*j**7/147 - 26*j**6/105 - 58*j**5/35 - 106*j**4/21 - 170*j**3/21 - 50*j**2/7 + 404*j. Factor g(q).
-4*(q + 1)**3*(q + 5)**2/7
Let -255 + 48*r**2 - 3/4*r**3 + 831/4*r = 0. What is r?
-5, 1, 68
Suppose -6*o - 11850 + 11850 = 0. Let k(y) be the first derivative of o*y + 0*y**3 + 1/45*y**5 - 1/12*y**4 - 28 + 2/9*y**2. Factor k(u).
u*(u - 2)**2*(u + 1)/9
Let d(n) be the first derivative of 2*n**3/15 + 226*n**2/5 - 944*n + 13453. Solve d(y) = 0.
-236, 10
Let h(a) = 55*a**2 + 115*a + 30. Let u(w) be the second derivative of -w**4/6 - w**3/6 - w**2/2 + 2*w + 2. Let c(l) = h(l) + 30*u(l). Factor c(s).
-5*s*(s - 17)
Let t(a) = -a**3 + 6*a - 1. Let n(g) = 36*g**4 + 729*g**3 - 1174*g**2 + 366*g + 79. Let z(m) = 2*n(m) - 18*t(m). What is i in z(i) = 0?
-22, -1/6, 2/3, 1
Let n(i) be the first derivative of i**5/60 + 5*i**4/12 - 3*i**2/2 + 3*i - 234. Let d(a) be the second derivative of n(a). Factor d(t).
t*(t + 10)
Let u = 167/907 - -2793/4535. Factor u*i**3 - 16/5*i + 0 + 8/5*i**2 - 2/5*i**4.
-2*i*(i - 2)**2*(i + 2)/5
Let x = 172393/7 + -24531. Find c such that 104/7*c + x + 4/7*c**2 = 0.
-13
Let b = -362 + 419. Factor k - 28*k**2 - 25*k**2 + 3*k + b*k**2.
4*k*(k + 1)
Let c = -337 + 340. What is s in -s + 2*s**2 + 88*s**3 - 87*s**c + 3 - 5 = 0?
-2, -1, 1
Factor 8331/4*b**4 - 18789806131173/4*b + 18062794907/2*b**2 - 1/4*b**5 - 18825957754321/4 - 13012501/2*b**3.
-(b - 2083)**4*(b + 1)/4
Let s(l) = -22*l - 222. Let m be s(-19). Let q be ((8 - 3) + m/(-36))/(-1). Factor 2/9*x - 2/9*x**2 + q.
-2*(x - 2)*(x + 1)/9
Determine g so that 20/3*g**5 - 8*g**4 - 196/3*g**3 + 0 - 40*g**2 + 32/3*g = 0.
-2, -1, 0, 1/5, 4
Let d(f) be the third derivative of f**8/2352 + f**7/1470 - f**6/280 - f**5/84 - f**4/84 + f**2 + 733. Factor d(v).
v*(v - 2)*(v + 1)**3/7
Let r(d) = 7*d**2 - 147*d - 286. Let v(c) = -37*c**2 + 738*c + 1426. Let y(m) = 11*r(m) + 2*v(m). Suppose y(a) = 0. What is a?
-2, 49
Let n(z) = -2*z**3 + 165*z**2 - 986*z - 148. Let h be n(76). Determine r, given that -22*r**3 + 8/5*r**h - 144/5 - 456/5*r + 452/5*r**2 = 0.
-1/4, 2, 6
Factor 208/7*m - 64/7*m**2 - 192/7 + 4/7*m**3.
4*(m - 12)*(m - 2)**2/7
Let a(n) be the first derivative of -18/5*n - 6 + 2/3*n**3 - 3/5*n**2 - 1/10*n**4. Factor a(h).
-2*(h - 3)**2*(h + 1)/5
Let k(b) be the first derivative of -1/60*b**4 + 1/150*b**5 + 0*b - 4*b**2 - 9 + 0*b**3. Let g(t) be the second derivative of k(t). Factor g(r).
2*r*(r - 1)/5
Let i be 4/(-12) + 31603/(-51). Let w = -616 - i. Factor -2 - 5/2*f**2 + 1/2*f**3 + w*f.
(f - 2)**2*(f - 1)/2
Let 816*r + 2/3*r**3 + 4832/3 + 106*r**2 = 0. Calculate r.
-151, -4
Let f(j) be the second derivative of -1/126*j**7 - 1 + 4/9*j**2 - 5*j - 17/180*j**5 - 7/135*j**6 + 1/18*j**4 + 10/27*j**3. Suppose f(r) = 0. Calculate r.
-2, -1, -2/3, 1
Let 4*m**5 - 9*m + 9*m - 1949*m**4 + 576*m**2 + 0*m + 1857*m**4 - 120*m**3 = 0. Calculate m.
-3, 0, 2, 24
Let g = 150487/639 - 16705/71. Find t, given that -58/9*t**2 - g*t**3 - 128/9 + 188/9*t = 0.
-32, 1, 2
Let w = -11272 + 20965/2. Let i = -772 - w. Factor 37*n**2 + 16*n**4 + 36*n**3 + 3 + 5/2*n**5 + i*n.
(n + 1)**3*(n + 3)*(5*n + 2)/2
Let n = 31 + -13. Let p(b) = -b + 21. Let v be p(n). Factor -8*x**2 + 5*x - 5*x**v - 10 + 10*x**2 + 8*x**2.
-5*(x - 2)*(x - 1)*(x + 1)
Let n(t) be the first derivative of -2*t**5/15 - t**4/6 + 2*t**3 + 3*t**2 + 5139. Find q such that n(q) = 0.
-3, -1, 0, 3
Let m(a) be the first derivative of -2*a**2 + 66/7*a + 2/21*a**3 - 50. Let m(v) = 0. What is v?
3, 11
Let t(b) be the first derivative of -1/2*b - 58 - 37/12*b**3 - 41/16*b**4 - 1/6*b**6 - 21/20*b**5 - 15/8*b**2. Solve t(a) = 0 for a.
-2, -1, -1/4
Let v(y) be the third derivative of -y**6/360 - 589*y**5/180 + 1181*y**4/72 - 197*y**3/6 - 1356*y**2. Suppose v(u) = 0. What is u?
-591, 1
Factor -2/3*h**2 - 98*h - 564.
-2*(h + 6)*(h + 141)/3
Let a(x) = 6*x**4 - 30*x**3 + 25*x**2 + 61*x - 7. Let r(c) = 2*c**4 - 10*c**3 + 8*c**2 + 20*c - 2. Let m(q) = -4*a(q) + 14*r(q). Factor m(g).
4*g*(g - 3)**2*(g + 1)
Let w(s) be the first derivative of 4*s**3/3 + 102*s**2 + 1589. Factor w(i).
4*i*(i + 51)
Let b(h) = h**2 + 95*h - 832. Let c(z) = 2*z**2 + 195*z - 1657. Let r(x) = -5*b(x) + 2*c(x). Determine i, given that r(i) = 0.
-94, 9
Suppose u + 22 = -2*a + 79, 0 = -5*u - 2*a + 253. Factor -5*x**2 + x**4 + 9*x**3 + 20*x**2 + 24*x - u*x.
x*(x - 1)*(x + 5)**2
Suppose 3*m + 263 - 36 = 4*q, 0 = q + 5*m - 28. Suppose q = -r + 55. Find c such that -4/3*c + 0 + 2/3*c**r = 0.
0, 2
What is o in 1440/7 + 6/7*o**3 - 45*o**2 - 2724/7*o = 0?
-8, 1/2, 60
Let -18*c**2 + 7*c**2 - 70*c - c**2 + 19*c**3 - 40*c**2 + 55*c = 0. What is c?
-5/19, 0, 3
Let l(b) = 93*b - 280. Let n be l(3). Let p be (-44)/(-55) - n/5 - -7. Find j, given that 1/2*j**3 - 2*j - 2*j**4 + p*j**2 + 0 = 0.
-2, 0, 1/4, 2
Let i = 1216712454/179207 - -96/25601. Find f such that 2/7*f**3 + i*f - 1409938/7 - 534/7*f**2 = 0.
89
Let n be -13 - (1 - (-42)/(-7))*(-39)/(-15). Determine a, given that 20/11*a**3 + n + 2/11*a**4 + 18/11*a**2 + 0*a = 0.
-9, -1, 0
Let k(b) be the second derivative of -b**4/16 + 7*b**3/4 + 1581*b**2/8 + 103*b. Suppose k(l) = 0. Calculate l.
-17, 31
Let o be (5 + -3 - 10)/((-1)/31). Suppose 5*l - 5*p - 142 = o, p = 0. Factor 4*t + 4 - 4 + l*t**2 - 79*t**2 - 3.
-(t - 3)*(t - 1)
Factor 58*h**2 + 0 - 40*h**3 + 13/2*h**4 - 8*h.
h*(h - 4)*(h - 2)*(13*h - 2)/2
Solve -108*b + 515/3*b**2 + 65/3 - 4/3*b**4 - 84*b**3