 + 5*z(u). Factor f(v).
2*(v + 222)**2
Factor -100*o - 5/2*o**3 - 210 + 215/2*o**2.
-5*(o - 42)*(o - 2)*(o + 1)/2
Let q(b) be the first derivative of -b**5/70 + 3*b**4/14 - 5*b**3/7 - 25*b**2/7 - 192*b - 26. Let y(c) be the first derivative of q(c). Factor y(k).
-2*(k - 5)**2*(k + 1)/7
Let i(n) be the first derivative of n**4/14 + 160*n**3/21 + 639*n**2/7 - 12355. Factor i(k).
2*k*(k + 9)*(k + 71)/7
Let f(q) be the first derivative of 5*q**6/6 + 4*q**5 + 5*q**4/2 - 20*q**3/3 - 15*q**2/2 - 1195. Factor f(c).
5*c*(c - 1)*(c + 1)**2*(c + 3)
Let k be (1265/(-176) + 7)/((-36)/56). Let s(d) be the second derivative of 0 + 31*d - 1/5*d**5 + k*d**4 + 0*d**2 + 0*d**3 + 1/60*d**6. Solve s(v) = 0 for v.
0, 1, 7
Let c = 756 + -726. Suppose 2*q**4 - 145*q + 30*q**3 + 18*q**4 - c - 85*q**4 + 315*q**2 - 105*q**3 = 0. Calculate q.
-3, -2/13, 1
Let b(o) = -5*o**3 - 9*o**2 + 5*o + 23. Let l(h) = -2*h**3 - 6*h**2 + 2*h + 12. Let q(t) = -3*b(t) + 7*l(t). Factor q(u).
(u - 15)*(u - 1)*(u + 1)
Let t(p) = -p**4 - 5*p**3 - 9*p**2 - 5*p. Suppose 131 = 28*s - 37. Let g(a) = -4*a**4 - 16*a**3 - 27*a**2 - 15*a. Let d(m) = s*g(m) - 21*t(m). Factor d(q).
-3*q*(q - 5)*(q + 1)**2
Let y = 8321 - 8309. Let p(o) be the first derivative of o**3 + 0*o - 9/2*o**2 + y. Suppose p(d) = 0. Calculate d.
0, 3
Factor 448/3 - 71/6*c**2 - 412/3*c - 1/6*c**3.
-(c - 1)*(c + 16)*(c + 56)/6
Let j(n) = -4*n**3 - 104*n**2 - 180*n + 40. Let u(y) = -y**2 + y + 10. Let r(a) = j(a) - 4*u(a). Solve r(f) = 0 for f.
-23, -2, 0
Let n(b) be the second derivative of -b**5/5 - 2733*b**4 - 14938578*b**3 - 40827133674*b**2 - 13*b - 93. Factor n(a).
-4*(a + 2733)**3
Let u = -71232 + 71235. Find o such that 34/15*o + 4/15 + 26/15*o**u + 56/15*o**2 = 0.
-1, -2/13
Let h be (0/1 - 3)/(24 - 23). Let x be (10 + h)/(6/12). Let x*z**3 + 8*z**2 - 82*z + 3*z**4 - 83*z + 165*z = 0. What is z?
-4, -2/3, 0
Let w(m) be the third derivative of 1/5*m**5 - 13*m**2 + m - 7/8*m**4 + 5/3*m**3 - 1/120*m**6 + 0. Find q such that w(q) = 0.
1, 10
Let o = 3121/45 - 693/10. Let b(q) be the second derivative of 0 + 22*q - o*q**4 - 1/45*q**6 - 1/20*q**5 - 1/36*q**3 + 0*q**2 - 1/252*q**7. Solve b(f) = 0.
-1, 0
Suppose 5*z + 2*y = -36, -26 = -4*y - 38. Let f = z - -43/7. Factor f*r**2 + 0*r**3 + 0*r + 0 - 1/7*r**4.
-r**2*(r - 1)*(r + 1)/7
Let z be (-534)/(-12) - (-89 - -133). Let 0 + z*u - 3/2*u**2 = 0. What is u?
0, 1/3
Let f(s) = -s**2 + 18*s - 1. Let t(l) = 5*l**2 + 4*l + 1. Let k be t(-2). Let u be f(k). Factor -4 - 9*r + r + u*r**2 - 5 + 3.
2*(4*r + 1)*(8*r - 3)
Factor 5/4*z**2 + 2905/2 - 5815/4*z.
5*(z - 1162)*(z - 1)/4
Let h(c) be the first derivative of -8*c**5/5 + 105*c**4/2 - 52*c**3/3 + 232. Factor h(k).
-2*k**2*(k - 26)*(4*k - 1)
Let l(s) = -16*s**3 + 3*s**2 + s + 2. Let i(v) be the first derivative of 13*v**4/4 - 2*v**3/3 - v**2/2 - 2*v - 65. Let w(d) = -5*i(d) - 4*l(d). Factor w(g).
-(g - 1)*(g + 1)*(g + 2)
Let j(s) be the second derivative of 0*s**2 - s + 17/50*s**5 + 2/5*s**4 - 8 + 0*s**3 - 7/75*s**6. Factor j(w).
-2*w**2*(w - 3)*(7*w + 4)/5
Find x such that 12*x**4 - 56695*x - 12 - 20*x**3 + 28357*x + 28360*x - 2*x**5 = 0.
-1, 1, 2, 3
Let l be (9 - 2)/(21/6). What is k in 4 + 4*k + 0*k - 4*k**2 - 2*k**3 - 3*k**3 + l*k**3 - k**3 = 0?
-1, 1
Let j = -21 + 26. Solve 2235*k**4 + 30*k**2 + 63*k**3 - 23 - 7 - j*k**5 - 2235*k**4 - 35*k - 23*k**3 = 0.
-2, -1, 1, 3
Determine z, given that 1/2*z**4 - 3/4*z**2 - 5 - 11*z + 11/4*z**3 = 0.
-5, -2, -1/2, 2
Let j be (-1560)/(-1092) - 8/(672/(-258)). Factor j*n - 5/2*n**3 + 0 - 3/2*n**2 - 1/2*n**4.
-n*(n - 1)*(n + 3)**2/2
Let w(o) be the third derivative of 0*o + 81*o**2 + 841/18*o**3 + 1/180*o**5 - 29/36*o**4 + 2. Determine k so that w(k) = 0.
29
Let s(l) = -5*l**5 + 27*l**4 - 79*l**3 + 41*l**2 + 28*l. Let y(d) = -2*d**4 - d**3 - d**2 + 7*d. Let z(u) = -s(u) + 4*y(u). Find c such that z(c) = 0.
0, 1, 3
Let c(g) be the second derivative of -6*g - 19/24*g**3 + 7 - 1/48*g**4 + 5/2*g**2. Solve c(b) = 0.
-20, 1
Let n = -59522 - -59524. Factor -12/5*x**3 - 2/5*x**4 - n*x**2 + 0 + 0*x.
-2*x**2*(x + 1)*(x + 5)/5
Let v(g) be the first derivative of g**6/90 - g**5/30 - g**4 + 9*g**3 - 63*g**2/2 - 124*g + 70. Let y(b) be the first derivative of v(b). Solve y(o) = 0 for o.
-7, 3
Let a = 7309/12 - 608. Let g = a + -79/84. Factor 8/7 - 2/7*o - g*o**2.
-(o - 2)*(o + 4)/7
Let u(i) be the second derivative of -2*i**5 + 3/5*i**6 + 0*i**2 + 2/3*i**4 + 0 + 0*i**3 - 39*i. Factor u(d).
2*d**2*(d - 2)*(9*d - 2)
Let y(b) be the first derivative of b**3 + 65 + 27/2*b**2 + 24*b. What is c in y(c) = 0?
-8, -1
Let m(s) be the second derivative of 5*s**6/2 - 37*s**5 - 2125*s**4/12 + 405*s**3 + 180*s**2 - 1320*s. Determine x so that m(x) = 0.
-3, -2/15, 1, 12
Let u(n) be the second derivative of n**8/9240 + n**7/2310 + n**6/1980 - 2*n**3 - 18*n. Let f(w) be the second derivative of u(w). Solve f(q) = 0.
-1, 0
Let d = 193567 + -967828/5. Suppose d*i**3 + 36/5*i + 8/5 + 6*i**2 = 0. Calculate i.
-2, -2/7
Suppose 0 = -35*o + 30*o + 2950. Factor -595*t**2 - 22*t + 1197*t**2 - o*t**2.
2*t*(6*t - 11)
Let s be 8/(-8) + 1484/(-750) + 3. Let z = 2162/4125 + s. Factor -10/11*n**2 + 2/11*n**3 + 14/11*n - z.
2*(n - 3)*(n - 1)**2/11
Let c(y) be the third derivative of y**5/120 + y**4/32 + 902*y**2. Factor c(s).
s*(2*s + 3)/4
Suppose -3*v + 8 = 2*x, 7*v - 3*x + 2 = 9*v. Let w be ((-1010)/(-120) - 8)/(10/v). Suppose -49/6 - 7/3*h - w*h**2 = 0. Calculate h.
-7
Let i(c) = c**2 - 9*c - 77. Let x be i(15). Factor -9 + 9*t + 4*t**2 + 3*t**3 + 6*t**2 + x + 2*t.
(t + 1)**2*(3*t + 4)
Let j = -2608 + 13041/5. Let o(g) be the first derivative of -6/5*g**2 + 4/5*g**3 + 4/5*g - j*g**4 - 9. What is p in o(p) = 0?
1
Let i(l) = -5*l**3 + 2166*l**2 - 2595*l + 1296. Let p be i(432). Factor -3*u**2 + p + 1/2*u**4 + 4*u - 3/2*u**3.
u*(u - 4)*(u - 1)*(u + 2)/2
Let q be ((-21)/(-35))/(1/5). Let f be (-1)/(-2) - (152/16 - 9). Factor -8*h + 5*h - 2*h**4 + 2 + h**4 + f*h**2 + q*h**3 - h**2.
-(h - 2)*(h - 1)**2*(h + 1)
Factor 4/5*k**3 + 0 + 816/5*k - 164*k**2.
4*k*(k - 204)*(k - 1)/5
Let i(f) be the first derivative of f**4/22 - 112*f**3/33 - 1065*f**2/11 - 6934. Find h, given that i(h) = 0.
-15, 0, 71
Let w(k) be the third derivative of 0 + 1/120*k**6 + 14*k**2 + 4/3*k**4 - 1/6*k**5 - 3*k - 16/3*k**3. Find f such that w(f) = 0.
2, 4
Let v(y) be the third derivative of 0 - 1/24*y**4 - 1/180*y**5 + 1/9*y**3 - 4*y**2 + 0*y - 1/630*y**7 + 1/120*y**6. Factor v(h).
-(h - 2)*(h - 1)**2*(h + 1)/3
Let r = 14 - 28. Let u be r/(-5) + 20/100. Suppose 2 - 2 - 8*s - 393*s**2 - s**u + 399*s**2 = 0. Calculate s.
0, 2, 4
Find k, given that -k**4 + 0*k**4 - 20*k**2 + 68393*k**3 - 68381*k**3 - 43*k + 43*k = 0.
0, 2, 10
Factor -184/3*z**2 + 0 - 62*z + 2/3*z**3.
2*z*(z - 93)*(z + 1)/3
Let w(p) = p**3 + 14*p**2 + 11*p - 24. Suppose -10*h = -21*h - 143. Let t be w(h). Factor 14 - 28 + 40*y - 18*y**t + 6.
-2*(y - 2)*(9*y - 2)
Let y(c) be the first derivative of -44*c**3 - 464*c**2 - 28*c + 2364. Let y(g) = 0. Calculate g.
-7, -1/33
Suppose 165/4*l - 5/2*l**2 + 85/4 + 5/4*l**5 - 85/2*l**3 - 75/4*l**4 = 0. What is l?
-1, 1, 17
Let x = 27310 + -54617/2. Factor x*s + 1/8*s**4 + 19/8*s**2 + s**3 + 0.
s*(s + 1)*(s + 3)*(s + 4)/8
Factor 35*m + 28*m - 64 + 69*m - 68*m**2.
-4*(m - 1)*(17*m - 16)
Let j(u) be the first derivative of -u**4/4 + 2098*u**3/3 - 1100401*u**2/2 - 4650. Factor j(t).
-t*(t - 1049)**2
Let p(m) be the third derivative of -m**8/1008 - 13*m**7/315 - 53*m**6/90 - 55*m**5/18 - 121*m**4/24 - 5829*m**2. Solve p(i) = 0 for i.
-11, -3, -1, 0
Let k be (3/2)/(3/8). Suppose -5*z - 49 + 59 = 0. Suppose -k*y**4 + 2*y**5 + z*y**4 + 0*y**4 = 0. Calculate y.
0, 1
Let j(s) = -s**3 + 9*s**2 + 9*s + 13. Let v be j(10). Factor 8656*f**3 + f**2 + 5*f**4 + v*f - 6*f**2 - 8659*f**3.
f*(f - 1)*(f + 1)*(5*f - 3)
Let d(n) = 6*n**2 - 33*n + 783. Let k(c) = c**2 - 8*c + 195. Let w(g) = 2*d(g) - 9*k(g). Find y, given that w(y) = 0.
-9, 7
Let b be (-31)/315 - (-39)/273. Let m(i) be the first derivative of -b*i**3 + 4/15*i**2 + 15 - 2/5*i. Let m(a) = 0. Calculate a.
1, 3
Let k(m) be the third derivative of -m**6/24 - 166*m**5/5 - 1189*m**4/6 - 264*m**3 - 8509*m**2. Suppose k(l) = 0. What is l?
-396, -2, -2/5
Let b be (11 - 12)/(-1*(-3)/(-9)). Suppose -13 = -2*q - 5*f, 5*f = -q + b*f + 6. Facto