et -2/9*f**3 - 38/9 - 34/9*f**2 + 74/9*f = 0. Calculate f.
-19, 1
Factor 11815 + 560*m - 14*m**2 + 15*m**2 + 66585.
(m + 280)**2
Determine d, given that 10650104 + 32*d**4 + d**5 - 484*d**2 - 6*d**3 + 50*d**4 - 10650350 + 653*d = 0.
-82, -3, 1
Let z(x) be the first derivative of x**6/1440 - x**5/160 - 5*x**3 - x**2 - 101. Let o(w) be the third derivative of z(w). Factor o(b).
b*(b - 3)/4
Let v be -4 - (-10 - 186/(-36)). Let j(g) be the first derivative of 12 - 1/3*g - 1/6*g**6 - 1/6*g**4 + 7/15*g**5 - 2/3*g**3 + v*g**2. What is r in j(r) = 0?
-1, 1/3, 1
Let g be (1*(-102)/18 - -5)/((270/(-81))/2). Suppose 2*y = -2*y. Factor y + g*q**3 + 0*q**2 - 8/5*q.
2*q*(q - 2)*(q + 2)/5
Let c = 341 - 339. Suppose -4*z + 10*f = 5*f + c, 4*z - 4 = 2*f. Suppose 40/7*a + 6/7*a**z - 2 = 0. Calculate a.
-7, 1/3
Let b be (-6)/(-24) + (-22)/24 - (-424)/477. Solve -b*x**2 - 8/3*x + 26/9 = 0 for x.
-13, 1
Determine l, given that 58/13*l + 84 - 2/13*l**2 = 0.
-13, 42
Let 128/11*a - 230/11*a**2 - 24/11 + 150/11*a**3 - 8/11*a**5 - 16/11*a**4 = 0. What is a?
-6, 1/2, 1, 2
Let i(l) be the first derivative of -l**5/20 + l**4/6 - l**3/6 + 25*l - 21. Let q(h) be the first derivative of i(h). Find w, given that q(w) = 0.
0, 1
Let a(q) be the second derivative of q**5/35 - 23*q**4/21 + 268*q**3/21 - 32*q**2 + 2036*q. Factor a(u).
4*(u - 14)*(u - 8)*(u - 1)/7
Let b(f) be the second derivative of -21 + 0*f**3 - 4*f + 1/126*f**7 - 1/30*f**6 + 0*f**2 - 5/36*f**4 - 3/20*f**5. Factor b(c).
c**2*(c - 5)*(c + 1)**2/3
Determine h so that -3*h + 15/8*h**2 - 1/2 + 13/8*h**3 = 0.
-2, -2/13, 1
Let f = -123 + 126. Determine c, given that 27*c**2 + 3*c**f - 1429 - 1391 + 2853 - 63*c = 0.
-11, 1
Let w = 368 + -366. Determine d so that 16*d**3 + 12*d**w + 2*d**5 + 156*d - 156*d - 20*d**2 - 10*d**4 = 0.
0, 1, 2
Find d such that -284/3*d**2 + 94*d + 2/9*d**3 + 1700/9 = 0.
-1, 2, 425
Let h = -426 - -727. Factor h*k**5 + 0*k - 117*k**4 + 1200*k**2 - 1080*k**3 - 304*k**5 + 0*k.
-3*k**2*(k - 1)*(k + 20)**2
Let n(f) be the third derivative of f**5/12 + 225*f**4/4 - 1360*f**3/3 - 1217*f**2. Factor n(s).
5*(s - 2)*(s + 272)
Suppose 274*q**2 + 1601*q**2 - 245*q**3 - 2405*q + 15*q**4 - 2596 - 49*q**3 + 832 - 1207*q = 0. Calculate q.
-2/5, 6, 7
Let y(j) be the third derivative of -j**6/40 - 67*j**5/20 + 35*j**4 - 142*j**3 + 2*j**2 - 22*j + 64. Determine b, given that y(b) = 0.
-71, 2
Let n = -166 - -168. Factor 12 - 5*j**n + 3*j**2 - 2*j + 3*j**2 - 20.
(j - 4)*(j + 2)
Suppose 0 = -615*t + 618 + 1842. Let 18/23*u**t + 88/23*u**2 + 0 + 60/23*u**3 + 2/23*u**5 + 48/23*u = 0. Calculate u.
-3, -2, 0
Let b(o) be the third derivative of 0*o + 6*o**3 + 7/60*o**6 + 19/15*o**5 + 0 + 19/4*o**4 + 49*o**2. Factor b(r).
2*(r + 2)*(r + 3)*(7*r + 3)
Let y(q) = 14*q**2 + 6*q**2 - 2*q**3 + 16 + q - 14*q - 21*q. Let v(l) = -l**3 + l. Let u(k) = 2*v(k) + y(k). Let u(i) = 0. Calculate i.
1, 2
Let k(t) be the first derivative of 4*t**3/3 + 298*t**2 + 592*t - 2565. Factor k(c).
4*(c + 1)*(c + 148)
Suppose 0 = b - 3*q + 78, -5*q + 3*q - 58 = b. Let f be 0/1*(b/12)/(-11). Determine j, given that -2/5*j + 2/15*j**2 + f = 0.
0, 3
Let g = -744 - -750. Factor 2*f**2 + 3*f + g*f**2 - 41*f - 3*f**2 - 3*f**2.
2*f*(f - 19)
Let k = -1270468/5 - -254100. Find z such that -k*z**4 + 0 + 8/5*z - 68/5*z**2 - 64/5*z**5 + 156/5*z**3 = 0.
-2, 0, 1/4, 1
Factor -2/9*n**2 + 0 + 154/9*n.
-2*n*(n - 77)/9
Suppose -d + 46 = 6*f - f, 2*d + 2*f - 76 = 0. Find w such that -34*w - 84*w**3 + 7*w - 16 + 69*w**2 + d*w**4 - 81*w - 281*w**2 = 0.
-1, -1/3, 4
Suppose 5*l = 5*k - 2175, -2*l - 2*k = -6*k + 880. Let x = 1294/3 + l. Solve 2*r**2 + x*r + 0 + 2/3*r**3 = 0.
-2, -1, 0
Solve 0 + 1/2*v**3 + 307*v**2 - 615/2*v = 0 for v.
-615, 0, 1
Let z be (-42)/4 + 4/(-8) + 1. Let q be (z/3 - -4)/(1/6). Factor q*o**3 - o**2 + 36*o**4 - 35*o**4 - 5*o**3 + o**5.
o**2*(o - 1)*(o + 1)**2
Let r(g) be the third derivative of -g**5/150 + 43*g**4/20 - 128*g**3/15 - 501*g**2. Factor r(x).
-2*(x - 128)*(x - 1)/5
Factor 0 + 4*k + 24/5*k**3 - 42/5*k**2 - 2/5*k**4.
-2*k*(k - 10)*(k - 1)**2/5
Let v(p) be the first derivative of 94 - 45/2*p**2 + 3/4*p**4 - 300*p + 6*p**3. Suppose v(q) = 0. What is q?
-5, 4
Let r be (9/(1215/(-6)))/(-4*2/10). Let c(g) be the first derivative of -5 + 8/9*g**3 + 2/5*g**5 + 0*g**2 + 0*g - r*g**6 - g**4. Factor c(f).
-f**2*(f - 2)**3/3
Let v be ((-14)/4 - -4) + (-14)/4. Let j = v + 5. Determine t so that t**3 + 23*t**j + 0*t**5 - 22*t**2 + 3*t**4 - 4*t**4 - t**5 = 0.
-1, 0, 1
Let n(o) be the first derivative of 14*o + 2/9*o**3 - 100 - 10/3*o**2. Factor n(q).
2*(q - 7)*(q - 3)/3
Suppose 2*d + 50 = 7*d. Let t be 5/d + (-2 + -1)/6. Find z, given that 2*z - 3*z**3 - 7*z**2 + 7*z**3 + t*z**3 + z**2 = 0.
0, 1/2, 1
Suppose 5*t = 13*t - 3048. Let k = 2673/7 - t. Factor 0*i + 0 + k*i**4 + 2/7*i**2 + 6/7*i**3 + 2/7*i**5.
2*i**2*(i + 1)**3/7
Let q(b) be the second derivative of 3*b**5/10 + 1683*b**4/20 + 35532*b**3/5 + 31752*b**2/5 + 8*b - 53. Determine s, given that q(s) = 0.
-84, -3/10
Let p be -192*(24/(-9) + (6 - 4)). Suppose -61 = -3*k + 3*o + 41, 4*k = 2*o + p. Factor 9/2*b + k*b**2 - 3.
3*(4*b - 1)*(5*b + 2)/2
Let u be (72/(-63))/(((-6)/21)/(48/240)). Solve -56/5*l - 12 + u*l**2 = 0 for l.
-1, 15
Let b = 258 - 182. Factor -48 + 3*k**2 + 128*k + 28*k**3 - 4*k**4 - 43*k**2 + 12*k**3 - b*k**2.
-4*(k - 6)*(k - 2)*(k - 1)**2
Let h(k) be the second derivative of -k**6 + 537*k**5/20 + 429*k**4/2 + 482*k**3 + 132*k**2 + k + 2707. Suppose h(q) = 0. What is q?
-2, -1/10, 22
Let g(y) be the third derivative of -3*y**2 - 1/8*y**4 + 1/60*y**6 + 1/336*y**8 - 2/105*y**7 + 0 + 0*y**3 - 46*y + 1/15*y**5. Factor g(w).
w*(w - 3)*(w - 1)**2*(w + 1)
Let g be (-1)/((72/36)/(30/(-4))). Let y(s) be the third derivative of -g*s**4 - 135/2*s**3 + 0*s - 46*s**2 - 1/12*s**5 + 0. Factor y(f).
-5*(f + 9)**2
Suppose -106*o - 80 = -122*o. Factor 37*p**3 + 26*p**2 - p**o + 10*p**4 + 265 - 130 - 135.
-p**2*(p - 13)*(p + 1)*(p + 2)
Find v such that 2/17*v**3 - 114/17*v - 130/17 + 18/17*v**2 = 0.
-13, -1, 5
Let l(j) be the first derivative of 8/25*j + 2/125*j**5 + 112 - 2/15*j**3 + 3/25*j**2 - 3/50*j**4. Determine k so that l(k) = 0.
-1, 1, 4
Let d = 1273 - 1244. Suppose -95 = -d*o - 8. Let -218/5*z**o - 98/5*z**5 - 8/5*z + 0 + 252/5*z**4 + 72/5*z**2 = 0. What is z?
0, 2/7, 1
Let z(k) be the third derivative of k**5/180 + k**4/9 - 14*k**3/3 + 907*k**2 - 2*k. Let z(i) = 0. What is i?
-14, 6
Suppose -447*t + 447 + 447 = 0. Determine q, given that 0 + 4*q**3 + 1/3*q**4 + 0*q + 12*q**t = 0.
-6, 0
Factor -694/3*r + 66 + 7/6*r**2.
(r - 198)*(7*r - 2)/6
Suppose 16*d**2 - 145007 + 422736 - 9*d**2 - 18*d**2 + 1054*d + 12*d**2 = 0. What is d?
-527
Suppose 380 = -33*g - 1765. Let o = -63 - g. Determine y so that 0*y**o + 2/11*y**4 + 0 - 4/11*y**3 + 0*y = 0.
0, 2
Let i(a) be the first derivative of -2*a**3/3 + 440*a**2 - 878*a - 9896. Factor i(m).
-2*(m - 439)*(m - 1)
Let m(y) be the first derivative of -y**5/20 - y**4 - 6*y**3 - 16*y**2 - 20*y - 8607. Factor m(h).
-(h + 2)**3*(h + 10)/4
Let h(z) = z**4 - 145*z**3 - 467*z**2 + 167*z - 4. Let g(t) = 4*t**4 - t**3 + t**2 + 2*t + 2. Let s(b) = 2*g(b) + h(b). What is q in s(q) = 0?
-3, 0, 1/3, 19
Let o = 1168 + -1160. Let j(q) be the third derivative of 0*q + 0 + 0*q**3 - 1/6*q**4 - o*q**2 - 1/15*q**5. Factor j(g).
-4*g*(g + 1)
Factor 3*o - 7/5 - 9/5*o**2 + 1/5*o**3.
(o - 7)*(o - 1)**2/5
Find l such that 41 - 194 - 7*l**2 + 282*l + 83 - l**2 = 0.
1/4, 35
Let w(l) be the third derivative of -1/600*l**6 + 0*l**3 + 20*l**2 + 1/100*l**5 + 0*l - 1/60*l**4 - 3. Solve w(r) = 0 for r.
0, 1, 2
Solve -1450/7 - 568/7*v**2 + 36/7*v**3 + 1980/7*v + 2/7*v**4 = 0 for v.
-29, 1, 5
Let y(v) be the first derivative of -v**6/6 - 52*v**5/5 - 773*v**4/4 - 2546*v**3/3 - 1488*v**2 - 1152*v - 1309. Solve y(h) = 0 for h.
-24, -2, -1
Let c(n) be the second derivative of 0*n**2 + 24*n - 1/12*n**4 + 0*n**3 + 0 - 1/220*n**5. Factor c(k).
-k**2*(k + 11)/11
Factor -3/2*z - 3/4*z**4 + 0 + 3/4*z**2 + 3/2*z**3.
-3*z*(z - 2)*(z - 1)*(z + 1)/4
Let x(i) = i**5 - i**4 + i**3 - i + 1. Let m(q) = -2*q**5 - q**2 + 3*q - 3. Let o = 311 + -317. Let r(v) = o*x(v) - 2*m(v). Factor r(n).
-2*n**2*(n - 1)**3
Let n be (-9 + 3)*(20/8 + -3). Let m be (-74*5/30)/((-1)/n). Factor 12*w + 41 - 5*w**3 + 8*w**2 - 4