i - 5/7*s - 4/7*s**2.
-s*(4*s + 5)/7
Let b(n) be the first derivative of -n**7/42 - n**6/10 + n**5/20 + n**4/4 - 12*n - 26. Let j(l) be the first derivative of b(l). Let j(c) = 0. Calculate c.
-3, -1, 0, 1
Factor -8/9*s**2 - 58/3*s + 60 + 2/9*s**3.
2*(s - 10)*(s - 3)*(s + 9)/9
Let u be (-13 + (-2850)/(-200))*(-1 + 14/10). Factor 3/4*v**4 + 0 + 1/4*v**5 + u*v**3 + 0*v + 0*v**2.
v**3*(v + 1)*(v + 2)/4
Let n be 2/10*(-38625)/600 - -13. Let j(s) be the third derivative of 0*s - 9*s**3 + 0 + n*s**5 - 3/8*s**4 - 19*s**2 - 1/160*s**6. Let j(m) = 0. What is m?
-2, 6
Let v(t) be the first derivative of 0*t**2 + 0*t - 1/15*t**6 + 1/10*t**4 + 0*t**3 + 57 + 0*t**5. Suppose v(z) = 0. Calculate z.
-1, 0, 1
Determine p so that -896/5*p**3 - 1384/5*p**2 - 80 - 11/5*p**5 + 211/5*p**4 + 496*p = 0.
-2, 2/11, 1, 10
Let x(a) be the second derivative of a**4/6 - 31*a**3/3 - 140*a**2 + 1108*a. Factor x(j).
2*(j - 35)*(j + 4)
Suppose 0 = -5*i + 2*s - 14, 4*i = -s - 2 - 17. Let o be 4/(-8) - 62/i. Determine m, given that -m**2 - o*m**2 - 16*m**3 - 7*m**2 - 8 - 44*m - 29*m**2 = 0.
-2, -1, -1/4
Suppose -4*d + 21 = 17. Let a be -1*((-12)/4 - (d - 2)). Determine q, given that -a*q - 5/2 + 1/2*q**2 = 0.
-1, 5
Let s(a) be the first derivative of 1/33*a**3 + 2/11*a**2 + 56 + 3/11*a. Let s(f) = 0. What is f?
-3, -1
Let u be (-4 - -5)*-2*(-175)/100. Factor 4 - 1/2*b**2 + u*b.
-(b - 8)*(b + 1)/2
Let s(l) be the third derivative of 0 - 25*l**2 - 3/20*l**5 + 5/8*l**4 + l - 25/24*l**3. Factor s(g).
-(6*g - 5)**2/4
Let f be 4 + (-4 - (2 + -3)). Let i be (-3)/5 + f + (-16)/(-10). Suppose 15*d - d**i + 41*d**2 + 15*d**3 + 10*d**3 - 5*d**2 + 5*d**4 = 0. What is d?
-3, -1, 0
Let t = -520449 - -520449. Let 8/3*k + t - 2*k**3 - 2/3*k**4 + 0*k**2 = 0. What is k?
-2, 0, 1
Suppose -3*s = 3*w - 705 + 687, 5*w = s + 18. Determine n, given that 1/3 + 1/3*n**4 + 2*n**s - 4/3*n**3 - 4/3*n = 0.
1
Let m(s) be the first derivative of -s**3 - 15*s**2/2 + 18*s + 830. Factor m(g).
-3*(g - 1)*(g + 6)
Suppose -471*a = -458*a - 156. Suppose 0 = 2*r + q - 9 + 1, q = -3*r + a. Factor -4/7*j**2 + 0*j + 0 + 12/7*j**3 + 4/7*j**5 - 12/7*j**r.
4*j**2*(j - 1)**3/7
Let k(q) be the second derivative of q**4/48 - 21*q**3/2 - 99*q + 1. What is w in k(w) = 0?
0, 252
Let d = 30121/31 - 331269/341. Factor -2/11*k**2 + d + 0*k.
-2*(k - 1)*(k + 1)/11
Factor 97*c - 4*c**2 - 3374 + 1502 + 107*c.
-4*(c - 39)*(c - 12)
Factor -11*m**3 - 942*m**4 - 9*m**2 + 943*m**4 + 37*m**2.
m**2*(m - 7)*(m - 4)
Let i(l) be the third derivative of l**6/144 + 7*l**5/180 + l**4/16 - 229*l**2 - 2*l. Suppose i(y) = 0. Calculate y.
-9/5, -1, 0
Let o be ((-1014)/24167)/(9/(-78)). Solve -2/11*u**3 + o*u**2 + 0*u + 0 = 0 for u.
0, 2
Let b(x) be the first derivative of -x**6/720 - 7*x**5/120 + 2*x**4/3 + 184*x**3/3 - 59. Let p(k) be the third derivative of b(k). Factor p(u).
-(u - 2)*(u + 16)/2
Suppose 4*s + 4 = 3*y, 6*y - 4*s = 2*y + 8. Suppose 3*g + n + 1 = 9, 19 = 5*g - y*n. Factor 0 + 2/9*j**4 + 0*j + 4/9*j**g + 2/9*j**2.
2*j**2*(j + 1)**2/9
Factor -6193845/2 - 5/2*w**2 + 5565*w.
-5*(w - 1113)**2/2
Let y(u) = 504*u**2 + 22*u - 136. Let i be y(5). Let 134447*q - 5651522 - 20172*q**2 + 69828*q + 334519*q + i*q + 328*q**3 - 2*q**4 = 0. Calculate q.
41
Factor -86 - t + 31*t - 2*t**2 + 168 - 14.
-2*(t - 17)*(t + 2)
Suppose 0 = -2*f + 4*t - 5*t - 11, -4*t = 5*f + 26. Let i be f/((-204)/(-166)) + 5. Factor -2/17*g**2 - 4/17*g + i*g**3 + 0.
2*g*(g - 2)*(g + 1)/17
Let h(p) be the third derivative of -p**6/600 + 41*p**5/300 - 58*p**4/15 + 160*p**3/3 + 5100*p**2. Solve h(n) = 0.
8, 25
Suppose w = 5*o - 15, 12 = -24*o + 28*o + 4*w. Let q(j) be the first derivative of -10/3*j**6 + 0*j**2 - 25*j**4 - 6 - 5*j + 50/3*j**o + 15*j**5. Factor q(y).
-5*(y - 1)**4*(4*y + 1)
Let l = 3541/35390 - 1/17695. Let i(k) be the first derivative of -2/5*k - 1/5*k**2 + 2/15*k**3 + l*k**4 + 12. Find u such that i(u) = 0.
-1, 1
Let p(i) be the first derivative of -2*i**4/75 + i**3/3 - 6*i**2/25 - 69*i - 2. Let q(h) be the first derivative of p(h). Solve q(u) = 0 for u.
1/4, 6
Determine p so that 67/2 - 133/8*p**2 + 17*p - 1/8*p**3 = 0.
-134, -1, 2
Let d = -3693 - -3708. Let c(p) be the second derivative of 1/10*p**5 + 5/3*p**3 + d*p + 2*p**2 + 2/3*p**4 + 0. Factor c(h).
2*(h + 1)**2*(h + 2)
Let p(o) = -3*o**3 - 3*o**2 - 4*o + 9. Let v be p(3). Let s = -95 - v. Solve s*a + 5*a**3 - 34*a + 80 - 42*a = 0 for a.
-4, 2
Let q(y) = 8*y**4 + 67*y**3 + 197*y**2 + 133*y. Let p = 166 + -161. Let a(s) = 52*s**4 + 436*s**3 + 1280*s**2 + 864*s. Let j(z) = p*a(z) - 32*q(z). Factor j(m).
4*m*(m + 1)*(m + 4)**2
Let k(d) = -2*d**3 - 14*d**2 + 4*d + 6. Let h(i) = -i**3 - 17*i**2 + 4*i + 5. Let x(f) = 4*f - 93. Let j be x(24). Let z(y) = j*k(y) - 2*h(y). Factor z(b).
-4*(b - 1)*(b + 1)*(b + 2)
Let m be ((-84)/(-9))/(24/36). Let l(s) = -s**3 + 14*s**2 - 9*s + 129. Let t be l(m). Factor -22*z**2 - 80/3*z**t - 32/3*z**4 - 20/3*z - 2/3.
-2*(z + 1)**2*(4*z + 1)**2/3
Let y = -959 - -961. Let z be -4*112/14*(-9)/68. Solve 24/17*s - 2/17*s**y - z = 0.
6
Let s be (-20)/(-230) - -3*(-88)/(-1196). Let v(h) be the first derivative of 2/65*h**5 - 11 + 5/26*h**4 + s*h**3 + 0*h + 0*h**2. Suppose v(z) = 0. Calculate z.
-3, -2, 0
Factor -2/9*z**4 + 0 - 38/9*z**3 - 52/3*z**2 + 0*z.
-2*z**2*(z + 6)*(z + 13)/9
Let p(j) = j**2 - 2. Let q be p(3). Let n(s) = -s**2 + 11*s - 18. Let c be n(q). Determine b, given that c*b - 2 + 7*b - 4 - 7*b**2 = 0.
3/7, 2
Let z(d) = -5*d**4 - 47*d**3 + 493*d**2 + 511*d + 8. Let t(b) = -10*b**4 - 90*b**3 + 985*b**2 + 1020*b + 15. Let k(a) = 8*t(a) - 15*z(a). Factor k(v).
-5*v*(v - 9)*(v + 1)*(v + 11)
Let h = -524 + 877. Factor -181*s**2 + h*s**2 - 18 - 174*s**2 - 20*s.
-2*(s + 1)*(s + 9)
Suppose -20 = 4*b, l + 4*b = -214 + 60. Let z = l - -277/2. What is c in 0 - 63/2*c**2 + 15/2*c + 57/2*c**3 - z*c**4 = 0?
0, 1/3, 1, 5
Let l(j) = -4*j**3 + 6*j**2 + 23*j + 5. Let y be (-9)/6 + 75/(-50). Let i(q) = -2*q**3 + 4*q**2 + 13*q + 3. Let w(k) = y*l(k) + 5*i(k). Factor w(x).
2*x*(x - 1)*(x + 2)
Let f(g) be the first derivative of g**4 - 68*g**3/3 - 34*g**2 + 4*g + 139. Let q(w) = 8*w**3 - 137*w**2 - 136*w + 9. Let a(r) = 9*f(r) - 4*q(r). Factor a(h).
4*h*(h - 17)*(h + 1)
Let l be -2 - -67 - (-100394)/(-1562). Factor 4/11*z**2 - 16/11 + 2/11*z**3 - l*z.
2*(z - 2)*(z + 2)**2/11
Let u(b) = 8*b**3 - 32*b**2 + b - 2. Let q be u(4). Let 7*l**3 - 22*l**3 - 95*l**q + 86*l**2 + 27*l - 3*l**4 = 0. Calculate l.
-3, 0, 1
Let m(c) be the first derivative of 501/10*c**2 + 56*c**3 + 66/5*c + 302 - 108/5*c**4. Let m(w) = 0. What is w?
-1/4, 22/9
Let m = 379 + -386. Let q be -1 + -3 + ((-110)/40 - m). Factor -1/2*f - q*f**2 + 0.
-f*(f + 2)/4
Let x be (-4)/((5 + -4)*(-2)/(-36)). Let i = -54 - x. Factor -j**4 + 25*j - 5 + 0*j**4 - 5*j - i*j**2 - 3 + 7*j**3.
-(j - 2)**3*(j - 1)
Let v(f) be the first derivative of 68/3*f**3 - 6*f**6 + 8*f**2 - 36/5*f**5 + 40 + 13*f**4 + 0*f. Let v(c) = 0. Calculate c.
-1, -1/3, 0, 4/3
Let m(b) = -b**3 + 5*b**2 + 15*b - 4. Let r be m(7). Let p be 1/2*(3 - -1). Solve -19*f**3 - 4*f**4 + 25*f**r - 3*f**p + f**2 = 0 for f.
0, 1/2, 1
Let i(d) = 37*d**3 + 117*d**2 + 99*d + 11. Let n(h) = 25*h**3 + 78*h**2 + 66*h + 8. Let l(c) = 5*i(c) - 8*n(c). Find k such that l(k) = 0.
-1, -3/5
Let u(m) be the second derivative of -m**4/8 - 625*m**3/4 - 13861*m. Suppose u(a) = 0. Calculate a.
-625, 0
Let p(y) be the first derivative of -288 + 75/2*y**2 - 5/6*y**3 - 145/2*y. Factor p(w).
-5*(w - 29)*(w - 1)/2
Factor 1/2*g**2 + 168 + 20*g.
(g + 12)*(g + 28)/2
Let x(q) be the first derivative of 240 + 64/21*q**3 - 1/14*q**4 + 0*q + 33/7*q**2. Solve x(s) = 0.
-1, 0, 33
Suppose -2*c - 2 = -z, 0 = -502*c + 501*c - 2*z + 14. Solve -3/2*k**3 - 3/4 - 1/4*k**4 - 3*k**c - 5/2*k = 0.
-3, -1
Let s(o) = -2*o**2 - 12*o + 14. Let g be s(-13). Let y be (-322)/g - (1 - (-6)/(-8)). Find i such that -i**2 - 4/3 + y*i**3 - 4*i = 0.
-1, -2/5, 2
Let g be (-3635)/(-75) + -7 + 1. Let m = 239/5 - g. Factor -1/3*w**2 - 64/3 - m*w.
-(w + 8)**2/3
Let y(a) be the third derivative of a**6/90 - a**5/36 - 7*a**4/72 + a**3/9 + 2*a**2 - 181*a. Determine n so that y(n) = 0.
-1, 1/4, 2
Let p(l) be the third derivative of 0*l - 1/72*l**5 + 0 - 55/36*l**3 + 5/12*l**4 + 13*l**2. Factor p(d).
-5*(d - 11)*(d - 1)/6
Let p(n) be the second deriv