*s**5 - 24 - 8*s**4 + 40*s**3 - 10*s - 4*s**4 + 17*s**2 - 32*s**i = 0.
-1, 1, 3, 4
Let l(q) be the third derivative of -5/21*q**3 + 11/84*q**4 + 1/420*q**6 + 0 + 0*q - 1/30*q**5 - 13*q**2. Factor l(j).
2*(j - 5)*(j - 1)**2/7
Let d(y) = -180*y**4 + 885*y**3 + 1173*y**2 + 153*y. Let v(z) = -135*z**4 + 664*z**3 + 879*z**2 + 115*z. Let c(o) = -7*d(o) + 9*v(o). Factor c(l).
3*l*(l - 6)*(l + 1)*(15*l + 2)
Let j be 812/(-15834) + (-2)/(-39). Let o(x) be the third derivative of 3/10*x**4 - 8/5*x**3 - 20*x**2 + 0*x - 1/200*x**6 + 0*x**5 + j. Factor o(c).
-3*(c - 2)**2*(c + 4)/5
Let w(b) be the first derivative of -b**3 - 447*b**2/2 + 2790*b + 442. Factor w(a).
-3*(a - 6)*(a + 155)
Let y(q) be the first derivative of q**4/28 - 4*q**3/3 + 141*q**2/14 - 198*q/7 - 1134. Suppose y(k) = 0. Calculate k.
3, 22
Suppose -2*w + w + 5*k = -7359, w - 7319 = -3*k. Suppose 6*g - 25166 + w = 0. Let -a**3 - g*a**4 + 3*a**3 + a**2 + 2973*a**4 = 0. Calculate a.
-1, 0
Solve -50/13 - 70/13*i - 22/13*i**2 - 2/13*i**3 = 0 for i.
-5, -1
Let l(z) be the third derivative of z**8/672 - 31*z**7/70 - 377*z**6/120 - 142*z**5/15 - 253*z**4/16 - 95*z**3/6 + 11335*z**2. Factor l(q).
(q - 190)*(q + 1)**4/2
Let z(v) be the first derivative of -2*v**3/21 - 3148*v**2/7 - 4954952*v/7 + 1679. Factor z(n).
-2*(n + 1574)**2/7
Let w(y) be the third derivative of y**6/1200 + 2*y**5/75 - 101*y**4/240 + 7*y**3/5 + 27*y**2 + y - 21. Factor w(p).
(p - 4)*(p - 1)*(p + 21)/10
Let o = 7651/18 + -425. Let s(v) be the first derivative of 4/27*v**3 + 1/3*v**2 - 36 - o*v**4 + 0*v. Let s(u) = 0. What is u?
-1, 0, 3
Let q(m) be the second derivative of -35*m**4/12 - 75*m**3 + 65*m**2/2 - 2817*m. Factor q(c).
-5*(c + 13)*(7*c - 1)
Let t(f) = -20*f - 18. Let q(c) = -c - 1. Let r(d) = -6*q(d) + t(d). Let p be r(-1). Factor -1/2*g - g**p + 0 - 1/2*g**3.
-g*(g + 1)**2/2
Let c be (-1)/(136/(-10) - (-1225)/(-875)). Let s(j) be the second derivative of -8/3*j**3 + c*j**6 - 4*j**2 + 1/5*j**5 + 0 - 36*j - 1/2*j**4. Factor s(q).
2*(q - 2)*(q + 1)**2*(q + 2)
Let c(t) = -3*t**2 + 8*t + 12. Let u(s) = -s**2 - 1. Suppose 7*q = 25 - 18. Suppose 5*a + 1 = -19. Let w(y) = a*u(y) + q*c(y). Factor w(n).
(n + 4)**2
Let o = -99 - -118. Let z be (0 - -1)/(o/247). Factor z*f + 6*f**2 - 9*f - 8 + 6*f**2.
4*(f + 1)*(3*f - 2)
Let f be ((-1397)/(-77))/(1/(-25)) + 0. Let m = f - -454. Factor 0 + 0*n**4 + m*n + 6/7*n**3 - 1/7*n**5 - 8/7*n**2.
-n*(n - 1)**3*(n + 3)/7
Let g = 8156/6099 - 8/2033. Factor g*h**3 + 12*h**2 + 16 + 80/3*h.
4*(h + 1)*(h + 2)*(h + 6)/3
Let k(c) be the first derivative of -c**8/5040 + c**7/360 + 7*c**6/270 + c**5/18 + 215*c**3/3 - 191. Let p(b) be the third derivative of k(b). Factor p(z).
-z*(z - 10)*(z + 1)*(z + 2)/3
Let n(u) be the first derivative of u**5/30 + u**4/6 - u**3 + 27*u**2/2 - 83. Let m(d) be the second derivative of n(d). Factor m(h).
2*(h - 1)*(h + 3)
Let m = 118 + -116. Factor 24*v**2 + 21*v**m + 25*v**2 - 37*v**2 + 5*v**4 + 15*v + 21*v**3 - 2*v**4.
3*v*(v + 1)**2*(v + 5)
Let j be (2/(-8210)*-803)/((-354)/(-295)). Let g = 3/821 + j. Let 0*q - 1/3*q**4 + g*q**5 - 1/2*q**3 + 0 + 0*q**2 = 0. What is q?
-1, 0, 3
Let 512*l**2 - 123*l - 422*l**2 + 69*l**3 + 135*l - 24 + 15*l**4 = 0. What is l?
-2, -1, 2/5
Let m = -291304 - -582609/2. Determine z, given that 4*z**2 + m*z + 7/2*z**3 + 0 = 0.
-1, -1/7, 0
Let n = 31 + -28. Suppose 2*p + 5*o = 4*p + 21, -5*o = n*p - 31. What is y in 3*y**2 + 2 - 19*y**3 - 6*y + 12*y**3 + 5*y**3 + 3*y**p = 0?
1
Determine x so that 3731912/5 + 2/5*x**2 - 5464/5*x = 0.
1366
Let g(b) be the first derivative of 4*b**3/15 - 646*b**2/5 - 1296*b/5 - 90. Determine n so that g(n) = 0.
-1, 324
Let g = 1353648 - 1353646. Let y = -7/12 - -4/3. Factor 1/2*b + 1/4*b**g - y.
(b - 1)*(b + 3)/4
Let m(p) = 4*p**2 - 29*p + 9. Let l be m(7). Solve -4*g**l + 3 - 1 + 5*g**4 + 2*g**4 - 5*g**4 = 0 for g.
-1, 1
Let d(f) be the first derivative of f**5/16 - 11*f**4/32 + f**3/4 + 37*f**2 + 40. Let i(v) be the second derivative of d(v). Solve i(o) = 0 for o.
1/5, 2
Let u be -8 + (-139)/(-15) + 35/(4375/50). Let m(q) be the first derivative of -11 + 1/9*q**3 + q**2 + u*q. Solve m(p) = 0.
-5, -1
Let c be 4300/175 + -21 - -1. Let y(n) be the second derivative of c*n**2 + 32/21*n**3 - 29*n - 1/7*n**4 + 0 - 9/70*n**5. Factor y(d).
-2*(d - 2)*(3*d + 4)**2/7
Let b = 5150 + -36049/7. Let l(u) be the second derivative of 1/70*u**5 + 0 - 3*u - 2/7*u**2 + 0*u**4 - b*u**3. Factor l(m).
2*(m - 2)*(m + 1)**2/7
Let q(b) be the second derivative of b**5/10 + 5*b**4/3 + 29*b**3/3 + 20*b**2 + 699*b. Suppose q(a) = 0. Calculate a.
-5, -4, -1
Let o(t) be the second derivative of -2 - 1/5*t**2 - 1/30*t**4 - 1/25*t**5 + 2/75*t**6 + 1/6*t**3 - 20*t - 1/210*t**7. Factor o(p).
-(p - 2)*(p - 1)**3*(p + 1)/5
Let u be ((-8)/3)/(3/(81/(-2))). Find w, given that -257*w + u*w**2 + 8 - 20*w**3 + 229*w - 25*w**4 + 29*w**4 = 0.
1, 2
Let m(s) be the second derivative of s**7/420 - s**6/60 - s**5/40 + 3*s**4/8 + 5*s**2/2 + 42*s - 4. Let o(l) be the first derivative of m(l). Factor o(p).
p*(p - 3)**2*(p + 2)/2
Let k(b) be the second derivative of b**5/30 + 7*b**4/2 + 152*b**3/3 - 18772*b**2/3 + 2568*b. Determine j, given that k(j) = 0.
-38, 13
Let l be (-4)/6 - (-6)/9. Let i be (3 - 3) + -13 + (-2457)/(-182). Suppose i*z**2 + l + 0*z = 0. Calculate z.
0
Factor -26*u - 943*u**4 + 8*u**2 + 947*u**4 + 22*u**3 + 16*u.
2*u*(u + 1)*(u + 5)*(2*u - 1)
Let l(m) be the second derivative of 1/35*m**5 + 0*m**2 - 1/7*m**4 + 1 + 7*m - 20/21*m**3. Determine j, given that l(j) = 0.
-2, 0, 5
Suppose -176 = -2*l - 4*d, -l = -0*l - 2*d - 68. Let s = 30 + -18. What is g in 4*g - l*g**3 + 41*g**3 - s*g**4 + 12*g**2 - 8*g**5 + 41*g**3 = 0?
-1, -1/2, 0, 1
Let u = 440 + -438. Factor -2*x**u - 377 + 2*x + 389 - 4*x.
-2*(x - 2)*(x + 3)
Let p be ((-206)/10 + 21)/(-1)*(-30)/7. Determine i so that 0*i**4 - 3/7*i**5 + 6/7 + p*i**3 - 6/7*i**2 - 9/7*i = 0.
-2, -1, 1
Let l(c) = -2*c - 1. Let u be ((-30)/5)/2 - (-2 - 0). Let d(o) = -o**2 - 6*o - 14. Let m(f) = u*d(f) - l(f). Solve m(x) = 0 for x.
-5, -3
Let r(z) be the first derivative of 128/7*z - 80/7*z**2 + 8/7*z**3 - 2/35*z**5 + 5/14*z**4 + 136. Suppose r(d) = 0. Calculate d.
-4, 1, 4
Let p = -536 + 566. Let y be 260/p + -6 + 5. Find s, given that 8/3*s + y*s**2 - 1/3*s**5 - 7/3*s**4 - 7/3*s**3 - 16/3 = 0.
-4, -1, 1
Let v(m) = m**3 + 15*m**2 - 2*m - 27. Let x be v(-15). Determine g so that 15*g**5 + 6*g**5 - 523*g**x - 16 + 92*g - 84*g**2 + 360*g**3 + 50*g**4 = 0.
-4, -1, 2/7, 1/3, 2
Let c(a) be the third derivative of 2*a**8/273 + 8*a**7/455 - 7*a**6/780 - 23*a**5/390 - 3*a**4/52 - a**3/39 + 1359*a**2. Let c(m) = 0. What is m?
-1, -1/4, 1
Let d(m) be the third derivative of m**7/315 - 47*m**6/180 - 5*m**5/9 + 8*m**4/3 - 10*m**2 - 82. Let d(p) = 0. Calculate p.
-2, 0, 1, 48
Factor -2175*k**3 + 7925*k**2 - 108*k**4 - 786*k - 117*k**4 + 2880 - 7614*k - 5*k**5.
-5*(k - 1)**3*(k + 24)**2
Determine y so that -55/3*y + 55/3*y**3 - 56/3 - 1/3*y**4 + 19*y**2 = 0.
-1, 1, 56
Let j be 2320/696 + 2/3. Find l, given that 4/5*l**3 + 14/5*l + 4/5 - 4/5*l**j - 2/5*l**5 + 16/5*l**2 = 0.
-1, 2
Let n(p) = 2*p**2 - 8*p + 12. Let w be n(3). Solve -23*s**3 + 17*s + 3*s**5 + 4*s - s**3 - 15*s**2 + 9*s**2 + 12 - w*s**4 = 0 for s.
-1, 1, 4
Let b(n) be the first derivative of 1/17*n**2 - 43 - 16/51*n**3 + 84/17*n + 1/34*n**4. Factor b(q).
2*(q - 7)*(q - 3)*(q + 2)/17
Suppose -b + 8 = 3*j, -2*j + 1 = b - 3. Let o(h) = -11*h**2 + 4*h. Let y(v) = 5*v**2 - 2*v. Suppose -2*z - 7 = -25. Let q(a) = j*o(a) + z*y(a). Factor q(s).
s*(s - 2)
Let d be (3/4)/((-610)/80 + 8). Suppose -n - 2*y = y - 14, -y = -3*n + d. Solve 75/2 + 3/2*a**n + 15*a = 0.
-5
Let q(p) be the first derivative of -3*p**4/16 + 49*p**3/4 + 303*p**2/8 + 153*p/4 - 681. Suppose q(h) = 0. Calculate h.
-1, 51
Let m(k) be the third derivative of -k**8/1008 - 47*k**7/315 - 2297*k**6/360 - 989*k**5/45 + 529*k**4/6 + 36*k**2 - 5*k + 1. Let m(g) = 0. Calculate g.
-46, -3, 0, 1
Let n(h) be the third derivative of h**5/10 + 5*h**3/6 + 40*h**2. Let x(a) = a**2 - a + 1. Let z(j) = n(j) - 5*x(j). Find b, given that z(b) = 0.
-5, 0
Let d(z) = 19*z**3 + z**2 + 202*z - 264. Let g(b) = -16*b**3 - 9*b**2 - 204*b + 264. Let j(o) = 5*d(o) + 6*g(o). Factor j(l).
-(l - 1)*(l + 6)*(l + 44)
Factor 0 - 1/