e first derivative of -8 + 10*v + 16/7*v**2 + 1/42*v**4 - 8/21*v**3. Let n(q) be the first derivative of o(q). Let n(w) = 0. Calculate w.
4
Let u(d) = 22*d + 159. Let f be u(-7). Suppose -20 + 4 = -5*x + 2*o, f*x - 5*o - 10 = 0. Find q, given that -q**2 + 0*q - 5*q**x + 0 - 9/2*q**3 = 0.
-1/2, -2/5, 0
Let u(o) be the second derivative of 2 + 13/12*o**3 + 169/8*o**2 - 2*o + 1/48*o**4. Factor u(m).
(m + 13)**2/4
Factor 378/11*v**2 + 51894/11 + 2/11*v**3 + 1674*v.
2*(v + 3)*(v + 93)**2/11
Factor -648/5*d - 2/5*d**4 + 14*d**3 - 576/5*d**2 + 0.
-2*d*(d - 18)**2*(d + 1)/5
Let w(g) be the first derivative of g**6/21 + 16*g**5/35 + 25*g**4/14 + 76*g**3/21 + 4*g**2 + 16*g/7 - 1232. Determine o, given that w(o) = 0.
-2, -1
Let b(p) be the second derivative of p**5/20 + 2*p**4 - p**3/6 - 12*p**2 - 10*p - 7. Find l, given that b(l) = 0.
-24, -1, 1
Let l(i) = i**2 - i + 1. Let v be l(2). Suppose 4*m - 2 + 11 = v*a, 0 = m. Solve -6 + 3*r**2 - a*r - 3*r + 9*r + 0*r = 0.
-2, 1
Let x(q) be the third derivative of 0*q**4 + 0 + 0*q**3 + 1/168*q**8 + 0*q + 1/15*q**5 - 73*q**2 - 1/60*q**6 - 2/105*q**7. Determine r so that x(r) = 0.
-1, 0, 1, 2
Let a(n) = 4*n**3 + 340*n**2 + 7036*n - 15492. Let r(x) = 4*x**3 + 339*x**2 + 7035*x - 15493. Let z(c) = -5*a(c) + 4*r(c). Factor z(l).
-4*(l - 2)*(l + 44)**2
Let r(n) be the third derivative of n**5/150 - 7*n**4/60 - 8*n**3/15 - 38*n**2 + 14. Determine i, given that r(i) = 0.
-1, 8
Let q(f) be the second derivative of f**6/105 - f**5/5 + 11*f**4/14 - f - 73. Factor q(t).
2*t**2*(t - 11)*(t - 3)/7
Let y be 4/(((-2)/5)/((247/(-65))/19)). Find s such that 3/2*s - 11/6*s**y + 1/3 = 0.
-2/11, 1
Suppose -2*i = -4*i - 2. Let p be i/1*8/(-4). Find m, given that 2*m**3 + m + 12*m**p + 21*m + 8 - 4*m = 0.
-4, -1
Let u = 1097 + -1095. Let x(l) = -l**3 - 26*l**2 - 24*l + 28. Let o be x(-25). Let -4/5 + 8/5*f**o - 14/5*f + 2*f**u = 0. What is f?
-2, -1/4, 1
Let m(j) be the first derivative of -j**3 + 3*j**2/2 + 18*j + 439. Suppose m(s) = 0. What is s?
-2, 3
Let a(s) be the second derivative of s**7/5460 - s**6/1170 + s**5/780 + s**3/2 - 11*s**2/2 - 41*s. Let w(v) be the second derivative of a(v). Factor w(f).
2*f*(f - 1)**2/13
Let t = 274 + -272. Suppose -w = t*f - 7, -3*f + 17 - 2 = 3*w. Determine y so that 5/4*y**3 + 1/2 + 9/4*y + w*y**2 = 0.
-1, -2/5
Let z(n) be the third derivative of 1/420*n**6 - 1/7*n**4 - 197*n**2 + 0 + 1/210*n**5 + 0*n**3 + 0*n. Suppose z(m) = 0. What is m?
-4, 0, 3
Let u(c) = -2*c**2 + 135*c - 3. Let o(g) = 3*g**2 - 162*g + 3. Let b(l) = 5*o(l) + 6*u(l). Factor b(f).
3*(f - 1)*(f + 1)
Let t(o) be the second derivative of o**7/189 - 11*o**6/270 - 97*o**5/180 + 95*o**4/36 + 23*o**3/6 - 9*o**2 - 9233*o. Find c, given that t(c) = 0.
-6, -1, 1/2, 3, 9
Let s(f) = 2*f**2 + 39*f - 8. Let y be s(16). Factor 98*n - n**2 + 331 - 469 - 1135 - y.
-(n - 49)**2
Let k(c) be the second derivative of -c**5/60 - c**4/2 + 115*c**3/18 - 2*c + 869. What is u in k(u) = 0?
-23, 0, 5
Let y(j) = -13*j**4 + 2*j**3 - 3*j**2 - 8*j + 4. Let q(c) = 0*c**4 + 12*c**4 - 14*c**4 + 0*c**2 - c**2. Let h(x) = -30*q(x) + 5*y(x). Factor h(p).
-5*(p - 2)*(p - 1)**2*(p + 2)
Let t = 122 - 120. Factor 0*g**3 - 2*g**3 + 10*g**t + 539*g - 547*g.
-2*g*(g - 4)*(g - 1)
Let l(f) be the first derivative of 16*f**3 - 40*f**2 - 49 + 100/3*f. Find q such that l(q) = 0.
5/6
Let g(l) = 4287*l + 34296. Let h be g(-8). Let z be (-3)/15 - (-9)/15. Factor h - z*r**3 + 8/5*r**2 + 2*r.
-2*r*(r - 5)*(r + 1)/5
Let l(t) be the first derivative of -202 - 28*t**3 + 0*t + 441*t**2 + 1/2*t**4. Factor l(o).
2*o*(o - 21)**2
Let s(c) = c - 13*c**3 + 14*c**3 - 2*c**3 + 8*c**2. Let q be s(8). Let 4*h**3 + 8*h**5 - q*h**4 - 6*h**5 + 2*h**5 = 0. What is h?
0, 1
Let s be (-3582)/6965*(-28)/24. Factor -s*o**3 + 171/5*o + 81/5*o**2 + 87/5.
-3*(o - 29)*(o + 1)**2/5
Let p(u) be the third derivative of -u**6/40 + 113*u**5/10 + 5348*u**2. Factor p(v).
-3*v**2*(v - 226)
Let c(v) = -7*v**3 - 3*v**2 - 6*v - 8. Let u(j) = -j**3 - j**2 - 2*j. Suppose 4 = 3*f - 4*b - 13, 0 = -5*f + 4*b + 15. Let k(h) = f*c(h) + 6*u(h). Factor k(q).
(q - 4)*(q - 1)*(q + 2)
Let x(r) be the first derivative of -r**4/4 - 98*r**3/3 - 360*r**2 + 7585. Suppose x(j) = 0. What is j?
-90, -8, 0
Let z = -2 + -18. Let t be (-48)/(-14) + z/(-35). Factor 8*n**2 + 0*n - 8 - 4*n + t*n**3 + 0.
4*(n - 1)*(n + 1)*(n + 2)
Determine a, given that 884*a**3 + 3*a**4 + 404*a**2 + 720 - 912*a - 508*a**3 - 448*a**3 + a**4 = 0.
2, 3, 10
Suppose 0 = 5*d - 0*d. Suppose -o + 8 = 2*l, 0*o + 3*o - 4*l - 34 = d. Factor -3 + 5*t**4 - 1 - 1 - t**3 + o*t - 9*t**3.
5*(t - 1)**3*(t + 1)
Let y(b) be the second derivative of -b**5/30 - 1547*b**4/18 - 3091*b**3/9 - 515*b**2 - 11130*b. Factor y(s).
-2*(s + 1)**2*(s + 1545)/3
Let w = 4/49195 - -19666/147585. Let -2/15*g + w*g**3 + 4/3*g**2 - 4/3 = 0. What is g?
-10, -1, 1
Suppose -2*x = -6, -7*r - 3*x = -8*r - 5. Find t such that 935*t**2 - 1 + r*t**3 + 942*t**2 - 1929*t**2 - 56*t + 1 = 0.
-1, 0, 14
Let u be -1 - (-5 + 0 - 6). Factor 25*z**2 - 22*z**2 + 5*z**5 + 20 - 13*z**2 + 25*z + u*z - 10*z**4 - 40*z**3.
5*(z - 4)*(z - 1)*(z + 1)**3
Let t(g) be the first derivative of -g**4/36 - 28*g**3/27 - 11*g**2/2 - 8*g + 13155. Solve t(k) = 0.
-24, -3, -1
Let x = -4861 - -4864. Let q(z) be the third derivative of 0*z**x - 1/90*z**5 + 0*z + 1/18*z**4 + 0 + 22*z**2. Factor q(i).
-2*i*(i - 2)/3
Let v(p) be the second derivative of -1/27*p**4 - 2/27*p**3 + 48*p + 0 + 8/3*p**2. Find b, given that v(b) = 0.
-4, 3
Let z(i) be the third derivative of -2*i**2 + 5/4*i**4 - 1/20*i**5 + 0 - 8*i**3 + 0*i. Factor z(x).
-3*(x - 8)*(x - 2)
Factor 46 - 61 - 6017*y**3 + 6014*y**3 - 9*y**2 + 27*y.
-3*(y - 1)**2*(y + 5)
Let s be -10 - (-22 + 2) - (28/6 - -5). Solve -11/3*b**3 - 10 - 5/3*b**2 - s*b**4 + 47/3*b = 0.
-10, -3, 1
Let j(t) = 2*t**5 - t**4 - t**2 - t - 1. Let i(k) = 12*k**5 - 9*k**4 - 4*k**3 + 3*k**2 - 3*k - 9. Let y(o) = -2*i(o) + 10*j(o). Determine l so that y(l) = 0.
-1, 1, 2
Factor z**4 + 1537*z**2 + 959*z**2 + 76*z**3 - 2845*z - 2563*z + 26*z**3.
z*(z - 2)*(z + 52)**2
Let h(b) be the second derivative of -49*b + 1 - 16/5*b**2 - 61/30*b**4 - 86/15*b**3 + 9/50*b**5. Let h(z) = 0. Calculate z.
-1, -2/9, 8
Let k(v) = 54*v**2 + 119*v + 255. Let f(i) = 32*i**2 + 60*i + 127. Let a(y) = 5*f(y) - 3*k(y). Find c, given that a(c) = 0.
-26, -5/2
Let m(w) = 2*w**2 + 2*w - 2. Let s be m(-2). Let k be (-3)/s*(-160)/30. Factor d**2 - 3*d + d**4 - k*d**2 + 5*d + 4*d**2.
d*(d - 1)**2*(d + 2)
Let g(b) be the third derivative of -5*b**8/336 + 2*b**7/7 - 19*b**6/12 + 4*b**5/3 + 65*b**4/8 - 70*b**3/3 + 1295*b**2 + 1. Determine h, given that g(h) = 0.
-1, 1, 4, 7
Let h(n) = -n**2 + 14*n + 2. Let g be h(12). Suppose 0 = 19*u - 6*u - g. Factor 20*b**3 - 115*b**u - b**4 + 10*b**5 + 110*b**2 - 24*b**4.
5*b**2*(b - 1)**2*(2*b - 1)
Let i(x) = 830*x - 27386. Let o be i(33). Determine p so that 3/2*p**3 + 0*p - 3/8*p**5 + 0*p**o + 0 + 0*p**2 = 0.
-2, 0, 2
Let c(k) = -44*k**3 - 2*k**2 - 5*k + 15. Let l(b) = 5*b**3 - 1. Let p(y) = 4*c(y) + 36*l(y). Factor p(m).
4*(m - 3)*(m - 1)*(m + 2)
Let a(r) be the second derivative of 0 - 1/4*r**2 + 1/48*r**4 - 126*r - 3/160*r**5 + 5/48*r**3. Find j such that a(j) = 0.
-4/3, 1
Let d(m) be the third derivative of -m**6/1620 - m**5/90 - 5*m**4/108 - 69*m**3/2 + 7*m**2 + 14. Let t(g) be the first derivative of d(g). Factor t(o).
-2*(o + 1)*(o + 5)/9
Let y = 32396 + -97186/3. Factor -2/3*a + 2/3*a**4 - 2*a**2 + 4/3 + y*a**3.
2*(a - 1)**2*(a + 1)*(a + 2)/3
Suppose -70*d = -73*d - 6. Let v be 4 + (-4 - 3/d). Factor -1/2*r**3 + v*r**2 - r + 0.
-r*(r - 2)*(r - 1)/2
Suppose 1694*y - 1689*y - 34 = -4*c, -y - 4 = -c. Let m(w) be the first derivative of 22 + 4/7*w + 1/7*w**y - 4/21*w**3 - 1/14*w**4. Factor m(j).
-2*(j - 1)*(j + 1)*(j + 2)/7
Let b(q) be the second derivative of q**7/126 - 11*q**6/30 + 17*q**5/4 + 289*q**4/36 + 26*q - 7. Factor b(g).
g**2*(g - 17)**2*(g + 1)/3
Suppose -4*k = 53 - 61. Let a(g) be the third derivative of 0 + 0*g - 1/1200*g**6 + 7*g**k + 0*g**4 + 0*g**3 - 1/600*g**5. Factor a(c).
-c**2*(c + 1)/10
Let c(w) be the first derivative of w**5/35 + w**4/4 - 61*w**3/21 - w**2/2 + 60*w/7 - 1675. Determine j, given that c(j) = 0.
-12, -1, 1, 5
Suppose -31*j**2 + 193641*j**5 + 319*j**3 + 29*j**3 - 12*j 