d derivative of o**7/12600 - o**6/720 - 7*o**5/300 + 7*o**4/4 - o**3/2 - 57*o - 1. Let c(w) be the third derivative of i(w). Factor c(b).
(b - 7)*(b + 2)/5
Factor -218/5*h**2 + 859/5*h + 1/5*h**3 - 642/5.
(h - 214)*(h - 3)*(h - 1)/5
Let n(q) = -q**2 + 534*q - 60999. Let f(g) = 8*g + 2. Let p(i) = -5*f(i) + n(i). Factor p(a).
-(a - 247)**2
Let o(z) be the first derivative of z**5/60 - 11*z**4/24 + 5*z**3/3 - 24*z**2 - 57. Let i(f) be the second derivative of o(f). Solve i(y) = 0 for y.
1, 10
Let y = -98699 + 690923/7. Solve -3/7*a**2 - 48/7 + y*a = 0 for a.
2, 8
Let h(j) be the first derivative of 3*j**4/16 - 35*j**3/2 + 1509*j**2/8 - 651*j/2 + 4746. Find l such that h(l) = 0.
1, 7, 62
Factor -19517*x + 179530 + 117495 + 3463*x**3 - 278598*x - 3464*x**3 + 1091*x**2.
-(x - 545)**2*(x - 1)
Factor -3/4*b**4 + 0*b + 0*b**3 + 1/4*b**5 + 0 + b**2.
b**2*(b - 2)**2*(b + 1)/4
Let l(f) = 3*f**2 + 140*f. Let i(q) = 2*q**2 + 3*q. Let t(u) = -8*i(u) + 4*l(u). Determine h so that t(h) = 0.
0, 134
Let x(m) = 2*m + 5. Let w(v) = -v**2 + 14*v + 311. Let j(i) = 5*w(i) + 40*x(i). Factor j(r).
-5*(r - 39)*(r + 9)
Let c(f) = 20*f**3 + f**2 - 4*f + 3. Let r(p) be the second derivative of p - 1/12*p**4 - 1/2*p**2 + 0*p**3 + 0. Let g(x) = 2*c(x) + 6*r(x). Factor g(l).
4*l*(2*l - 1)*(5*l + 2)
Let c be ((-28)/77 - 2)/(192/(-792)). Factor -c*p**2 - 9/2*p**3 - 3/4*p**4 - 3 - 9*p.
-3*(p + 1)**2*(p + 2)**2/4
Suppose 0 = -2*v + v + 3. Let r be 60 + -6 - 29 - 23. Factor -1/4*i**r + i + 0 - 1/8*i**4 - 5/8*i**v.
-i*(i - 1)*(i + 2)*(i + 4)/8
Determine c so that -56 - 3558*c + 4*c**3 + c**4 + 13*c**3 - 3569*c + 7123*c + 42*c**2 = 0.
-14, -2, 1
Suppose 0 = 4*o - r - 10, -4*o - 3*r - 2 = -2*o. Let h be ((-11)/(110/(-15)))/((-12)/(-32)). Factor 5*k**3 - 5*k**3 - h*k**o - 4*k**2 + 4 + 4*k**4.
4*(k - 1)**2*(k + 1)**2
Let p(s) be the second derivative of 3*s**5/160 + 61*s**4/32 - 1341*s**3/16 + 19197*s**2/16 - 3321*s. Factor p(b).
3*(b - 9)**2*(b + 79)/8
Suppose -3*g + 3 = 3*f, 7*f + 31*g - 36*g - 235 = 0. Determine r, given that 0 + 2/3*r**3 - 58/3*r**2 - f*r = 0.
-1, 0, 30
Let u(y) = y**3 - 7*y**2 + 10*y - 37. Let q be u(7). Let -37*c**3 - q*c**3 - 8*c**3 - 48*c**2 + 46*c**3 - 4*c**4 = 0. Calculate c.
-6, -2, 0
Solve -3066*o**4 - 3059*o**4 + 6124*o**4 + 145*o**3 - 4*o - 426*o**2 + 568 = 0 for o.
-1, 2, 142
Let h(w) be the first derivative of w**6/42 - w**5/7 - w**4/14 + 2*w**3 - 9*w**2/2 + 27*w/7 - 572. Solve h(x) = 0.
-3, 1, 3
Let r = -17241/5 - -3450. Let c be (-66)/(-15) - (3 + -1). Factor c*p - r - 3/5*p**2.
-3*(p - 3)*(p - 1)/5
Let c(h) = -14*h**5 - 6*h**4 + 465*h**3 + 468*h**2 + 44*h. Let t(q) = 5*q**5 + 2*q**4 - 155*q**3 - 156*q**2 - 16*q. Let n(m) = -4*c(m) - 11*t(m). Factor n(r).
r**2*(r - 12)*(r + 1)*(r + 13)
Let q(b) = -17*b**2 + 3652*b - 3196944. Let s(n) = 21*n**2 - 3671*n + 3196944. Let z(u) = 5*q(u) + 4*s(u). Determine t so that z(t) = 0.
1788
Let m be 0 - (-6)/28*2. Let n(v) = 73*v**2 + 6793*v + 374. Let k be n(-93). Suppose m*i**k + 12/7 - 12/7*i = 0. Calculate i.
2
Let q = 32 + -29. Solve 1815*v - 1428*v**3 - 6655 + 4*v**5 - 9*v**5 - 382*v**q + 6490*v**2 + 165*v**4 = 0.
-1, 1, 11
Let l(y) be the second derivative of -y**8/33600 - 11*y**7/6300 + 9*y**4 - 56*y. Let z(q) be the third derivative of l(q). Solve z(o) = 0 for o.
-22, 0
Let x(a) be the third derivative of a**8/84 - 22*a**7/105 - 2*a**6/3 + 28*a**5/5 + 24*a**4 + 3158*a**2 + 1. Solve x(w) = 0 for w.
-2, 0, 3, 12
Determine u, given that 196/13*u + 2/13*u**2 + 0 = 0.
-98, 0
Let x be (-49)/(-21)*3 - 0. Suppose 0 = -11*u + x + 15. Factor -1/2*f**u + 3/2 + f.
-(f - 3)*(f + 1)/2
Suppose -4*t - c = 3257, -t + 2*t = -3*c - 828. Let z = t - -4066/5. Factor 0 + z*x**2 + 1/5*x.
x*(x + 1)/5
Let s(b) be the third derivative of b**6/180 - 449*b**5/90 - b**4/36 + 449*b**3/9 - 244*b**2 + b. Factor s(w).
2*(w - 449)*(w - 1)*(w + 1)/3
Suppose 0 = -5*h + 3*r + 4, -h - 12 + 24 = 5*r. Let q(t) be the first derivative of 0*t - 2/17*t**h - 7/34*t**4 - 14/51*t**3 - 4/85*t**5 + 3. Solve q(o) = 0.
-2, -1, -1/2, 0
Suppose 22*x = 8 + 80. Factor -p**2 - x*p**3 + 195*p - 26*p**2 - 405 + p**3 + 0*p**3 + 48*p.
-3*(p - 3)**2*(p + 15)
Let m(r) be the second derivative of -r**4/48 + 5*r**3/3 - 18*r**2 - 2*r - 472. Factor m(h).
-(h - 36)*(h - 4)/4
Factor 117*j**2 - 96*j - 100*j**2 - 3*j**3 + 37*j**2.
-3*j*(j - 16)*(j - 2)
Let s be (-20)/18 - 28/(-21). Let g = -2/539 - -2162/1617. Factor s*j**2 + 0 - g*j.
2*j*(j - 6)/9
Let n be (-65)/(-78)*(-17 + 18). Let u(j) be the second derivative of -1/6*j**6 - n*j**3 + 5/6*j**4 + 17*j - 5/42*j**7 + 0 - 5/2*j**2 + 1/2*j**5. Factor u(y).
-5*(y - 1)**2*(y + 1)**3
Solve 6*n - 3*n**2 + 2*n**2 - 27 + 0*n**2 + 2*n**2 = 0.
-9, 3
Factor 0 - 3/5*g**3 - 162/5*g + 33*g**2.
-3*g*(g - 54)*(g - 1)/5
Let v(r) be the first derivative of r**5/140 + 17*r**4/84 + 3*r + 72. Let p(t) be the first derivative of v(t). Factor p(f).
f**2*(f + 17)/7
Suppose 140/9*o**2 + 4*o**3 + 2744/9 - 196*o - 4/9*o**4 = 0. What is o?
-7, 2, 7
Let a(r) be the second derivative of 1/210*r**7 - 4/5*r**2 - 49*r - 11/15*r**3 - 17/60*r**4 + 0 + 1/100*r**5 + 1/30*r**6. Factor a(j).
(j - 2)*(j + 1)**3*(j + 4)/5
Let t(s) = -s**4 - 44*s**3 - 126*s**2 - 6*s - 6. Let q = -269 + 270. Let y(u) = u**4 - u**3 + u**2 + u + 1. Let x(h) = q*t(h) + 6*y(h). Factor x(r).
5*r**2*(r - 12)*(r + 2)
Solve -22*x + 1009847*x**2 - 1009850*x**2 - 47*x - 12*x + 9*x - 357 = 0.
-17, -7
Let v(k) be the third derivative of 62*k**2 + 1/40*k**6 + 0 + 9/20*k**5 + 0*k - 9/2*k**3 - 1/8*k**4. Solve v(c) = 0.
-9, -1, 1
Let v(u) = u**2 - 69*u + 1067. Let d be v(23). Let j(q) be the third derivative of 0 - 1/60*q**5 + 5/24*q**4 + 0*q**3 + 0*q - d*q**2. Let j(s) = 0. What is s?
0, 5
Find m such that 79*m**2 + 114*m - 1/2*m**4 + 99/2 + 14*m**3 = 0.
-3, -1, 33
Let r be (76/330 - 40/110) + 12*6/90. Solve r*h**3 + 4/3*h + 2*h**2 + 0 = 0 for h.
-2, -1, 0
Let v be 13 + 35/(-28)*-4. Suppose -v*k + 30 = -8*k. Determine a so that 4/5*a**k + 2/5*a**5 + 0 - 7/5*a**4 + 0*a + 4/5*a**2 = 0.
-1/2, 0, 2
Let q(b) = 487*b - 1943. Let j be q(4). Let k(y) be the second derivative of -55/4*y**j + 70/3*y**3 - 5/2*y**4 + 0 + 11*y + 20*y**2 + 25/6*y**6. Factor k(u).
5*(u - 2)*(u - 1)*(5*u + 2)**2
Let w(p) be the first derivative of -p**5/10 + p**4/2 + 19*p**3/6 + 7*p**2/2 - 4114. Factor w(c).
-c*(c - 7)*(c + 1)*(c + 2)/2
Let u be -1*9 - (-52)/(-780)*-135. Factor 6*m + u - 8*m**2 + 1/2*m**4 + 3/2*m**3.
m*(m - 2)*(m - 1)*(m + 6)/2
Let y be 1 + -6 + (-7701)/(-1092). Let z = y - -18/91. Solve -21/8*h + 3/8*h**2 + z = 0.
1, 6
Let z(h) = -55*h**3 - 11*h**2 - 70*h - 7. Let v(c) = 47*c**3 + 10*c**2 + 71*c + 6. Let k(q) = 7*v(q) + 6*z(q). Let k(f) = 0. What is f?
-7, 0, 11
Find f such that 1/5*f**5 + 1087/5*f**2 - 192*f - 63/5*f**4 - 1024/5 + 959/5*f**3 = 0.
-1, 1, 32
Let b be (-11 + 21)*(86/20 + 8/(-2)). Let h(v) be the second derivative of 0*v**2 + 0 - 1/5*v**5 + v**4 + 0*v**b - 7*v. Factor h(f).
-4*f**2*(f - 3)
Let j(b) = -b**2 + 7*b + 6. Let c be j(8). Let q be (0 + 0 + c)*-2. Factor -q*a - 4 - a + 5*a - a**2 + 4*a.
-(a - 2)**2
Let w(d) be the third derivative of -d**5/90 + 17*d**4/4 + 310*d**3/9 + 18*d**2 + 3*d. Suppose w(b) = 0. Calculate b.
-2, 155
Suppose 16 = 5*c - a - 7, 3 = -c + 4*a. Suppose 11*r = -c*r. Factor r*g - 4/3 + 1/3*g**2.
(g - 2)*(g + 2)/3
Let a(z) = 4*z - 21. Let h(b) = b + 1. Let i(x) = -a(x) + 3*h(x). Let l be i(8). Factor 6*f**2 - 10*f - l*f**2 + 25*f**2.
5*f*(3*f - 2)
Let z be (5/10)/((-2)/((-16)/1)). Suppose 7*p - 30 = z*p. Let -p*w - 6 + 2 + w**2 - 3*w**2 + 16 = 0. What is w?
-6, 1
Let d = -194 + 207. Solve 4*x**2 - 25*x + 58 + d*x - 50 = 0.
1, 2
Let c = 1209 - 1205. Let y be c + 0/(-2 + -4 + 8). Factor 0*a + 14/3*a**y + 2*a**5 + 0 + 10/3*a**3 + 2/3*a**2.
2*a**2*(a + 1)**2*(3*a + 1)/3
Let x(i) be the first derivative of -3*i**5/5 + 30*i**4 - 277*i**3 + 1035*i**2 - 1728*i - 7813. Factor x(g).
-3*(g - 32)*(g - 3)**2*(g - 2)
Solve 1/2*s**5 + 187*s**4 - 9871360*s + 26214400 + 807616*s**2 + 45337/2*s**3 = 0.
-128, 5
Let x be 64/(-72)*(82/(-28) + 3 + (-2805)/1540). Factor x*d**3 - 2/9*d**4 + 26/9*d - 8/9 - 10/3*d**2.
-2*(d - 4)*(d - 1)**3/9
Let w be ((-45)/(-432))/(225/36). Let g(p) be the third derivative of -1/36*p**4 - 1/18*p**3 + 0*p + 0 + w*p**5 - 9*p**2. Factor g(s).
(s - 1)*(3*s + 1)/3
Let