) + 20*q(f). Determine i so that g(i) = 0.
-143, -2
Let k(j) be the third derivative of -6*j**2 - 11/12*j**4 + 2/3*j**3 - 13/30*j**5 + 0*j - 1. Let k(f) = 0. Calculate f.
-1, 2/13
Let h(c) be the first derivative of c**4/16 + 13*c**3/6 + 225*c**2/8 + 162*c + 6117. Find l, given that h(l) = 0.
-9, -8
Suppose -123 = -14*m + 87. Let x(p) = p**2 + 11*p - 9. Let l be x(-12). Factor 165*o**3 - m*o + 9 - 78*o**3 + l*o**2 - 84*o**3.
3*(o - 1)**2*(o + 3)
Let p = -153 + 198. Suppose -10*s - 25*s**2 + p*s**3 - s**4 - 43*s**5 + 35*s**4 + 8*s**5 - 9*s**4 = 0. Calculate s.
-1, -2/7, 0, 1
Let c(g) = -11*g**3 + 4*g**2 + 5*g - 10. Let t(p) = -7*p**3 + 2*p**2 + 2*p - 4. Let v(w) = -6*c(w) + 15*t(w). Factor v(f).
-3*f**2*(13*f - 2)
Let d(t) = -t**2 - 30*t - 25. Let v be d(-29). Let f(p) be the second derivative of -1/2*p**6 + 0*p**2 - 1/7*p**v - 18/35*p**5 + 5*p + 0*p**3 + 0. Factor f(y).
-3*y**2*(5*y + 2)*(7*y + 2)/7
Let y(n) = -5*n**2 + 73*n - 2. Let q(b) = 3*b**2 - 46*b + 1. Let x(j) = -8*q(j) - 5*y(j). Find c such that x(c) = 0.
-2, -1
Let h = 332 + 582. Let i = h + -4568/5. Find q, given that -2/5*q**3 + i*q**2 + 0*q + 0 - 2/5*q**4 + 2/5*q**5 = 0.
-1, 0, 1
Let w(j) be the first derivative of -j**3/3 - 211*j**2 - 44521*j - 1108. Find h, given that w(h) = 0.
-211
Let p(r) be the first derivative of -r**6/2 - 222*r**5/5 - 1350*r**4 - 13750*r**3 + 46875*r**2/2 - 4887. Factor p(n).
-3*n*(n - 1)*(n + 25)**3
Find z, given that -41/5*z**5 - 39/5*z**4 + 7*z**2 + 4/5 + 25*z**3 - 84/5*z = 0.
-2, -1, 2/41, 1
Let i = -1200 + 66007/55. Let d = i - -4/55. Factor 0*z**2 + 2/5*z**3 - 1/5*z**4 + d - 2/5*z.
-(z - 1)**3*(z + 1)/5
Let i = 2/9921 - 9514243/19842. Let h = i - -482. Factor -35/4*b**3 + 35/4*b - 5/2 + h*b**2.
-5*(b - 1)*(b + 1)*(7*b - 2)/4
Let v(x) = -x**3 - 11*x**2 + 4. Let g be v(-11). Factor g*d**3 - 72 + 42*d**2 - 24*d**2 + 17*d + 22*d**2 + 11*d.
4*(d - 1)*(d + 2)*(d + 9)
Let n(d) be the first derivative of -4*d**5/45 - 1205*d**4/18 - 53734*d**3/3 - 1791111*d**2 + 1804578*d - 2875. Factor n(u).
-2*(u + 201)**3*(2*u - 1)/9
Let g(r) = -3*r**3 - 15*r**2 + 16*r - 3. Let d(h) = -h**3 - 7*h**2 + 8*h - 2. Suppose 0 = l - 46 + 51. Let u(v) = l*d(v) + 2*g(v). Factor u(c).
-(c - 2)**2*(c - 1)
Let z(k) be the first derivative of 51/2*k**2 + 12*k + 4*k**3 + 4. Factor z(c).
3*(c + 4)*(4*c + 1)
Let r(v) be the second derivative of -2 + 3/4*v**4 + 0*v**2 - v**3 - 1/10*v**6 + 0*v**5 - 60*v. Factor r(b).
-3*b*(b - 1)**2*(b + 2)
Factor 2/7*h**2 - 66/7*h + 484/7.
2*(h - 22)*(h - 11)/7
Let r(b) be the second derivative of -b**5/30 + 89*b**4/9 - 353*b**3/9 + 176*b**2/3 - 2613*b. Determine i, given that r(i) = 0.
1, 176
Let v be 19/(-19) - (2 + -1). Let b(s) = -s**3 - 3*s**2 - 3*s. Let w be b(v). Factor -12*p + 2*p + 7*p**2 + 0*p**w - 9*p**2.
-2*p*(p + 5)
Let y(a) be the first derivative of a**3/4 - 60*a**2 + 4800*a - 5166. Factor y(j).
3*(j - 80)**2/4
Let g(w) be the second derivative of w**4/4 - 126*w**3 + 753*w**2/2 + 334*w. Factor g(l).
3*(l - 251)*(l - 1)
Let r(o) be the third derivative of -o**8/112 + 13*o**7/70 + 49*o**6/20 - 781*o**5/10 + 2783*o**4/8 - 1331*o**3/2 + 2837*o**2. Determine m so that r(m) = 0.
-11, 1, 11
Suppose 12 = -3*q - l, -226*q + 221*q - 62 = 4*l. Factor -2/3 - 4/9*v + 2/9*v**q.
2*(v - 3)*(v + 1)/9
Let b(p) be the third derivative of 11*p**5/50 + p**4/15 - 7*p**2 + 255. Let b(a) = 0. Calculate a.
-4/33, 0
Let q(a) be the second derivative of -a**6/15 - 9*a**5/10 - 9*a**4/2 - 31*a**3/3 - 12*a**2 + 1613*a. Factor q(t).
-2*(t + 1)**2*(t + 3)*(t + 4)
Find g, given that -30 + 27/2*g**2 - 21/8*g**3 + 39/2*g - 3/8*g**4 = 0.
-10, -2, 1, 4
Let p(u) be the first derivative of 2*u**7/245 + u**6/28 - u**5/10 + 11*u**2/2 + 87. Let w(h) be the second derivative of p(h). Solve w(a) = 0 for a.
-7/2, 0, 1
Suppose -8*b - 89 = 87. Let a(j) = j**2 + 21*j - 18. Let c be a(b). Suppose -4/7*i**c - 8/7*i**3 - 144/7 + 48/7*i + 44/7*i**2 = 0. What is i?
-3, 2
Factor 280/3 - 62/3*n - 2/3*n**2.
-2*(n - 4)*(n + 35)/3
Let a(n) be the third derivative of n**6/180 + 101*n**5/60 + 25*n**4/12 - 151*n**3/18 - 4440*n**2. Factor a(j).
(j + 1)*(j + 151)*(2*j - 1)/3
Let v(t) be the first derivative of -t**7/2100 + t**5/100 + t**4/30 - 73*t**3/3 - 88. Let k(w) be the third derivative of v(w). Factor k(i).
-2*(i - 2)*(i + 1)**2/5
Let r be 8235/315 + -4 + -1 + -20. Determine o, given that 6/7*o**2 + 10/7*o**3 - r + 2/7*o**4 - 10/7*o = 0.
-4, -1, 1
Let y(a) be the third derivative of -a**5/150 + 71*a**4/12 - 2376*a**2. Factor y(k).
-2*k*(k - 355)/5
Let l = 6 + -2. Let u = 8716/3 - 2903. Suppose 23/3*y**2 - 1/3*y**5 - u*y**l - 7/3*y**3 + 8/3*y - 16/3 = 0. What is y?
-4, -1, 1
Suppose -5*k = -3*z - 97, 16*z - 13*z - 22 = -2*k. Let f(i) be the first derivative of -4*i**3 - k + 9*i**2 + 1/2*i**4 - 8*i. Factor f(l).
2*(l - 4)*(l - 1)**2
Let l be (75/210)/((-172)/(-602)). Suppose 3/2 + l*i + 1/4*i**2 = 0. What is i?
-3, -2
Let s(f) be the third derivative of -5*f**2 - 5/9*f**4 + 0*f**3 + 1/18*f**7 + 1/36*f**6 - 7/9*f**5 + 0 - 3*f. Find h such that s(h) = 0.
-2, -2/7, 0, 2
Suppose 2*r + 202 = -3*h - 3*r, -2*h = 4*r + 134. Let a = -67 - h. What is f in -1/3*f**3 - 16/3 - 8*f - 3*f**a = 0?
-4, -1
Let m = -2/732689 - -14653786/2198067. Factor -m*z - 4 - 4/3*z**2 + 4/3*z**3.
4*(z - 3)*(z + 1)**2/3
Let s = 4 + -6. Let y(z) = z**2 - z - 1. Let c(i) = -16*i**2 + 20*i + 14. Let k = 3509 - 3545. Let b(f) = k*y(f) + s*c(f). Factor b(u).
-4*(u - 1)*(u + 2)
Let s(g) be the second derivative of -19*g**5/30 + 115*g**4/72 + 11*g**3/12 - 6*g**2 + 224*g - 12. What is i in s(i) = 0?
-3/4, 1, 24/19
Let d be (-3 - (-14)/42)*3/(-2). Suppose 3*f**4 + 8*f**3 + 6*f**3 - 10*f**2 - 964*f + 940*f + f**4 - d*f**2 = 0. Calculate f.
-4, -1, 0, 3/2
Let g(c) = 16*c - 29. Let w be g(-6). Let q = 127 + w. Factor -138*m**q + 22*m + 142*m**2 - 6*m.
4*m*(m + 4)
Let p(y) be the first derivative of y**5/130 - y**4/78 - y**3/39 + y**2/13 - 62*y - 33. Let j(f) be the first derivative of p(f). Factor j(h).
2*(h - 1)**2*(h + 1)/13
Suppose 34/5*b**2 + 2/5*b**3 + 128/5 + 32*b = 0. Calculate b.
-8, -1
Let k(j) be the first derivative of -j**6/180 + j**4/9 - 4*j**2/3 - 66*j - 90. Let l(u) be the first derivative of k(u). Factor l(y).
-(y - 2)**2*(y + 2)**2/6
Factor -1/3*j**3 + 400/3*j - 404/3 - 97/3*j**2.
-(j - 2)**2*(j + 101)/3
Let b(z) = z**2 + 15*z + 0*z**3 - z**3 - 66 + 42 + 0*z**2. Let v be b(2). Find k such that -26/3*k**v - 2/3*k**4 + 4*k**3 - 8/3 + 8*k = 0.
1, 2
Let z(c) be the third derivative of c**5/300 + 44*c**4/15 - 3*c**2 - 228. Factor z(r).
r*(r + 352)/5
Let o(a) be the second derivative of -a**6/1620 + 7*a**5/180 - 19*a**4/54 - 63*a**3/2 - 5*a - 16. Let v(f) be the second derivative of o(f). Factor v(y).
-2*(y - 19)*(y - 2)/9
Let y(o) be the second derivative of -o**6/120 + o**5/15 - 21*o**2 + 102*o. Let z(b) be the first derivative of y(b). Determine f, given that z(f) = 0.
0, 4
Let k(v) = -v**3 + 85*v**2 + 9*v + 3. Let n(f) = 3*f + 1. Let p(d) = k(d) - 3*n(d). Factor p(j).
-j**2*(j - 85)
Suppose -17363 = -515*n - 15303. Factor -24/11*l**3 + 90/11*l**2 + 2/11*l**n - 100/11*l + 0.
2*l*(l - 5)**2*(l - 2)/11
Let t(n) = -69*n**4 + 258*n**3 - 1008*n**2 + 750*n. Let a(i) = -91*i**4 + 257*i**3 - 1009*i**2 + 751*i. Let c(u) = -3*a(u) + 4*t(u). Factor c(f).
-3*f*(f - 83)*(f - 3)*(f - 1)
Let b = 363/182 - 25/13. Let n(p) be the second derivative of 0 + 3*p**2 - 6*p - b*p**7 + 7/2*p**3 + 2*p**4 + 3/10*p**5 - 1/5*p**6. Solve n(t) = 0.
-1, 2
Suppose -642*s = -635*s + 14. Let o be (-78)/117*(18/15)/s. Let -f - 11/5*f**2 - 4/5*f**3 + o = 0. Calculate f.
-2, -1, 1/4
Let a(g) = 36*g**2 + 235*g - 69. Let t(h) = -108*h**2 - 708*h + 196. Let n(i) = -14*a(i) - 5*t(i). Factor n(q).
2*(q + 7)*(18*q - 1)
Let j(q) = -6*q**2 + 33654*q - 46972837. Let a(d) = -d**2 + 5608*d - 7828806. Let f(u) = -13*a(u) + 2*j(u). Let f(o) = 0. What is o?
2798
Let s(c) be the second derivative of -c**4/12 - 13*c**3/3 + 87*c**2/2 + 827*c. Determine u so that s(u) = 0.
-29, 3
Let d(l) be the first derivative of -l**6/6 - 3*l**5/4 + 7*l**4/4 + 5*l**3/6 - 3*l**2 + 5*l/4 - 11892. What is a in d(a) = 0?
-5, -1, 1/4, 1
Let s be (10/5 + -3)*4. Let y(c) = -4*c**2 - 45*c + 19. Let k(r) = -21*r**2 - 231*r + 96. Let z(j) = s*k(j) + 22*y(j). Let z(a) = 0. Calculate a.
-17, 1/2
Let x(m) 