the first derivative of -3*f**3 - 3*f**2 + 15*f - 47. Let j(k) = -3*c(k) + 7*o(k). Let j(s) = 0. Calculate s.
-4, 1
Let m(l) be the first derivative of -2*l**3/39 - 128*l**2/13 + 1056*l/13 + 3678. Factor m(h).
-2*(h - 4)*(h + 132)/13
Let z be ((-340)/50 - -8)/(6/10). Solve -2 + 3*b**z + 2 + 109*b**5 - 58*b**5 - 96*b**5 - 6*b - 3*b**4 + 51*b**3 = 0 for b.
-1, -2/5, 0, 1/3, 1
Let y = -371010 - -371082. Suppose -21*m + y*m**2 - 147/2 + 21*m**3 + 3/2*m**4 = 0. Calculate m.
-7, -1, 1
Let j(k) = 14*k**2 + 9*k + 37. Let x(w) = -3*w**2 - w - 1. Let r(c) = -3*j(c) - 15*x(c). Solve r(o) = 0.
-4, 8
Let z = 62625 - 62623. Factor -2/5*g**z + g**3 + 0 + 0*g + 7/5*g**4.
g**2*(g + 1)*(7*g - 2)/5
Find h, given that 59*h + 136/3*h**2 + h**3 + 44/3 = 0.
-44, -1, -1/3
Let a(v) be the first derivative of 0*v**5 + 0*v + 1/2*v**4 - 29/2*v**2 - 45 - 4/3*v**3 - 1/30*v**6. Let b(o) be the second derivative of a(o). Factor b(w).
-4*(w - 1)**2*(w + 2)
Let i(z) be the second derivative of -31/3*z**6 + 115*z**2 + 79/2*z**5 - 5/14*z**7 - 30*z**4 + 19*z - 335/6*z**3 + 0. Let i(w) = 0. Calculate w.
-23, -2/3, 1
Let x = 3853/586 - 1194/293. Find a such that 10*a**4 + x*a**5 + 10*a**3 - 5 - 5*a**2 - 25/2*a = 0.
-2, -1, 1
Suppose -2*t = -j - 6, 0 = -9*t + 10*t - j - 4. Let 1/2*r**5 + 4*r**3 + t*r**2 + 0*r + 5/2*r**4 + 0 = 0. Calculate r.
-2, -1, 0
Let t be (1218/7105)/(2/28). Let v(g) = 37*g - 107. Let a be v(3). Factor -3*r**3 + 3/5*r**2 + 3/5*r**5 + t + 24/5*r - 3/5*r**a.
3*(r - 2)**2*(r + 1)**3/5
Factor 2/9*o**2 + 20/3*o + 250/9.
2*(o + 5)*(o + 25)/9
Let i(m) be the third derivative of -31 + 7/36*m**4 + 2*m**2 - 8/9*m**3 + 0*m + 1/90*m**5. Factor i(d).
2*(d - 1)*(d + 8)/3
Let u be (-4 - 0 - -16)/2. Suppose -4*p + 4 = -4*m, -u*m + 1 = -m - 3*p. Factor 0*s**2 - s**3 - s**m + 0*s**2.
-s**2*(s + 1)
Let 140 - 1404/5*d + 708/5*d**2 - 4/5*d**3 = 0. Calculate d.
1, 175
Let b = -109527 - -109527. Solve b + 3/2*p**5 - 57/2*p - 24*p**4 - 81*p**3 - 84*p**2 = 0 for p.
-1, 0, 19
Let d(y) be the second derivative of -y**7/168 + 7*y**6/72 - y**5/6 - 5*y**4/2 + 55*y**3/2 - 5*y - 13. Let n(t) be the second derivative of d(t). Factor n(u).
-5*(u - 6)*(u - 2)*(u + 1)
Let m(p) be the third derivative of 0*p + 3*p**3 - 9/16*p**4 + 20*p**2 + 3/40*p**5 + 0 - 1/240*p**6. Let o(i) be the first derivative of m(i). Factor o(c).
-3*(c - 3)**2/2
Let q = -253/4073 + 8799451/28511. Factor -125/7 - q*a**2 - 1728/7*a**3 - 900/7*a.
-(12*a + 5)**3/7
Let t(f) = -5*f - 14. Let p be t(9). Let g = 61 + p. Find c such that 27*c**g - 5*c + 67 + 12*c - 7 + 269*c = 0.
-10, -2/9
Determine t so that -426/5 + 2/15*t**5 + 286/5*t - 172/3*t**3 + 340/3*t**2 - 422/15*t**4 = 0.
-3, -1, 1, 213
Let v be (-2)/15 - ((-6083)/(-30))/(-77) - (6 - 8). Factor -9/2 - v*b**3 - 87/2*b**2 - 55/2*b.
-(b + 9)*(3*b + 1)**2/2
Let 7/4*x**2 - 5/4*x**3 - 1/4*x**5 - 7/4*x**4 + 3/2*x + 0 = 0. What is x?
-6, -1, 0, 1
Let j be 4/6*(-33)/(-4) + (-385)/3850. Let -3/5*z**3 - 24/5*z - j*z**2 + 0 = 0. Calculate z.
-8, -1, 0
Let o(d) be the second derivative of d**7/189 - 2*d**6/135 - 47*d**5/90 - 22*d**4/9 - 4*d**3 - 3140*d. Find s, given that o(s) = 0.
-3, -2, 0, 9
Factor 988418/5 + 2812/5*v + 2/5*v**2.
2*(v + 703)**2/5
Find d such that -14 - 11*d**2 - 6*d**3 + 41*d + 5*d**3 + 64*d - 26 - 143*d = 0.
-5, -4, -2
Let v = -1911/47 - -15633/329. Find q, given that 0 + v*q + 2/7*q**2 = 0.
-24, 0
Let o = -858756 - -7728866/9. Solve 62/9*s**4 - 10/9*s**3 - 14/9*s**5 - o*s**2 + 8/3*s + 0 = 0 for s.
-1, 0, 3/7, 1, 4
Factor 0 + 100/3*s + 2/9*s**2.
2*s*(s + 150)/9
Let p(h) = -5*h**3 + h**2 - h - 1. Let r(l) = -94*l**3 + 47*l**3 + 48*l**3. Let m(w) = -p(w) - 6*r(w). Factor m(f).
-(f - 1)*(f + 1)**2
Let d(z) be the first derivative of -206 - 2*z**2 - 11/20*z**5 - z - 3/8*z**6 + 25/16*z**4 + 5/4*z**3. Find s, given that d(s) = 0.
-2, -1, -2/9, 1
Let b be (3094/(-70) - -44)*(4 + -6 + 2). Factor 2/3*s**4 + 4/15*s**5 + b*s + 2/15*s**2 + 0 + 8/15*s**3.
2*s**2*(s + 1)**2*(2*s + 1)/15
Let k = 619 - 615. Let l be k/(256/(-8))*-4. Factor l*w**4 - 1/2 - w**3 + w + 0*w**2.
(w - 1)**3*(w + 1)/2
Let i(s) be the first derivative of s**6/27 + 134*s**5/45 + 52*s**4 - 480*s**3 - 4017. Determine x so that i(x) = 0.
-36, 0, 5
Factor 13230*p - 2344*p**2 - 7*p**4 + 2*p**4 - 2725*p**2 + 1604*p**2 + 240*p**3.
-5*p*(p - 21)**2*(p - 6)
Let l(m) be the second derivative of 2 + 0*m**2 - 2/15*m**6 - m**3 - 36*m - 7/10*m**5 - 4/3*m**4. Factor l(f).
-2*f*(f + 1)**2*(2*f + 3)
Suppose -3*i = -2*i - 2*l - 195, 5*i - 960 = -5*l. Let r = -78 + i. Factor r - 59 - 56 + 2*k**2 + 6*k.
2*k*(k + 3)
Let c = -551347 + 551352. Let -2/5*b**c - 4/5*b + 2/5*b**2 + 6/5*b**3 + 0 - 2/5*b**4 = 0. Calculate b.
-2, -1, 0, 1
Let x(j) be the first derivative of 3/8*j**3 - 21*j + 1/4*j**2 - 19 + 7/48*j**4. Let g(k) be the first derivative of x(k). Suppose g(d) = 0. What is d?
-1, -2/7
Let s(n) be the first derivative of 86 - 10/3*n + 7/6*n**2 - 1/9*n**3. Factor s(t).
-(t - 5)*(t - 2)/3
Let z(h) be the third derivative of 8/3*h**4 + 4/15*h**5 + 0*h - 12*h**2 - 2*h**3 + 0 + 1/90*h**6. Let m(l) be the first derivative of z(l). Factor m(q).
4*(q + 4)**2
Suppose -27/7*j**2 - 3*j**3 - 3/7*j**4 + 3*j + 30/7 = 0. Calculate j.
-5, -2, -1, 1
Let r(g) = 12*g - 100. Let n be r(8). Let d be 27/4 + (-1)/n + -3. Factor 4/5*f**d + 4/5*f**3 + 0 - 4/5*f**2 - 4/5*f.
4*f*(f - 1)*(f + 1)**2/5
Suppose -50 + 58 = g. Suppose g - 24 = -4*f. Let 4/3*x + 16/9*x**2 - 2 + 2/9*x**f - 4/3*x**3 = 0. What is x?
-1, 1, 3
Let o(n) be the first derivative of -n**6/11 + 144*n**5/5 - 52269*n**4/22 - 48*n**3 + 4752*n**2 + 2040. Find w, given that o(w) = 0.
-1, 0, 1, 132
Let a be ((-180)/210)/(270/(-42)). Let r(u) be the second derivative of 0*u**2 + 4/9*u**3 + 9*u - 1/15*u**5 + 1/28*u**7 + 4/9*u**4 + 0 - a*u**6. Factor r(s).
s*(s - 2)**2*(3*s + 2)**2/6
Let o be 4 - (-3)/(9/(-6)). Let z = -3/508 + 8149/3556. Find f, given that -6/7*f**4 + 0 - o*f**2 + 4/7*f + z*f**3 = 0.
0, 2/3, 1
Suppose -3*s - 4 = -996*n + 991*n, 0 = -3*s + 3*n. Let i(w) be the first derivative of 3/14*w**s - 9/7*w - 3/28*w**4 + 3/7*w**3 - 18. Factor i(k).
-3*(k - 3)*(k - 1)*(k + 1)/7
Let a(n) be the third derivative of -6*n**3 + 0*n - 1/15*n**5 - n**4 + 0 + 13*n**2. Let a(q) = 0. Calculate q.
-3
Solve 2540/7 - 4/7*t**2 - 1006/7*t = 0 for t.
-254, 5/2
Let w(h) be the third derivative of 2*h**5/15 + 57*h**4/2 + 170*h**3/3 + 2*h**2 - 501*h. Factor w(b).
4*(b + 85)*(2*b + 1)
Let h(t) be the second derivative of t**5/4 + t**4 + t**3/3 - t**2 - 23*t + 5. Let o be h(-2). Factor 0*d**o + 0 + 4/5*d**3 - 4/5*d.
4*d*(d - 1)*(d + 1)/5
Let x be (5*(-2)/(-4))/((-45)/(-36)). Let m(o) be the third derivative of 1/36*o**5 + 1/48*o**4 + 1/240*o**6 + 0*o**3 + 0 + 0*o + 17*o**x. Solve m(f) = 0 for f.
-3, -1/3, 0
Let s = 22 - 14. Let c be (-4)/8*s + 12. Factor c*w + 1 + w**4 - 4*w - 4*w**3 - 8*w + 6*w**2.
(w - 1)**4
Let h be ((-5)/(-50)*-4)/(1/(-226)). Let d = 4118/45 - h. Factor 2/9*y**2 - 4/3*y + d.
2*(y - 5)*(y - 1)/9
Let o = 10926427/3186 - 20/1593. Factor o + 1/2*b**4 + 570*b**2 - 3971*b - 29*b**3.
(b - 19)**3*(b - 1)/2
Let g(i) be the second derivative of -i**5/120 - 29*i**4/18 - 113*i**3/9 - 112*i**2/3 - 1039*i. Solve g(v) = 0.
-112, -2
Let k(z) = -9*z**4 - 15*z**3 + 4*z**2. Let v(x) = -90*x**4 - 150*x**3 + 39*x**2. Let d(b) = 21*k(b) - 2*v(b). Find a such that d(a) = 0.
-2, 0, 1/3
Let u(j) = j**2 - 14580*j + 131141. Let b be u(9). Factor 0*m + 0 - 2/5*m**b.
-2*m**2/5
Suppose -37*q = -40*q + 15. Let -32*u**2 - 59*u**3 - 68*u**3 + 57*u**q - 41*u**3 - 100*u**4 - 21*u**5 = 0. What is u?
-1, -2/9, 0, 4
Let k(m) be the second derivative of -m**7/21 - 8*m**6/15 - 12*m**5/5 - 17*m**4/3 - 23*m**3/3 - 6*m**2 - 519*m + 4. Suppose k(j) = 0. Calculate j.
-3, -2, -1
Suppose -4*p - y = -4*y + 13, 0 = 5*p + 2*y - 24. Let j = 51 + -50. Factor -1/2*t**p + 1/4*t**3 - 7/4*t - j.
(t - 4)*(t + 1)**2/4
Let o(a) = -141*a - 280. Let r be o(-2). Let t = 17/36 + -2/9. Suppose t*k**r - 5/4 + k = 0. What is k?
-5, 1
Let p(r) be the second derivative of -r**8/6720 + r**7/1120 - r**6/480 + r**5/480 + 7*r**3/2 + 34*r. Let a(o) be the second derivative of p(o). Factor a(u).
-u*(u - 1)**3/4
Suppose 3*u - 17*u + 1315 = 1287. Let v(a) be the first derivative of 16/3*a + 2/9*a**3 - u*a**2 + 14. Factor v(k).
2*(k - 4)*(k - 2)/3
Let g(i) 