i - 3364. Let b be u(22). Let l(a) be the second derivative of 0 - 15*a + b*a**2 - 11/12*a**4 - 3/20*a**5 - 4/3*a**3. Factor l(j).
-(j + 2)**2*(3*j - 1)
Let b(w) be the third derivative of w**5/240 - 877*w**4/96 + 875*w**3/12 + 8*w**2 + w - 114. Solve b(f) = 0 for f.
2, 875
Let z = -25 + 46. Let i be 86/z - 10/105. Let 30*q**i - 45*q**5 + 3*q**3 - 2*q**2 + 37*q**3 + 5*q - 28*q**2 + 0*q = 0. Calculate q.
-1, 0, 1/3, 1
Let a = 234 + -232. Find s, given that 56*s + 4*s**3 + 22*s**2 + 75*s**2 + 24 - 59*s**a - 2*s**4 = 0.
-2, -1, 6
Let x(s) be the third derivative of -7*s**7/15 - 8176*s**6/15 + 1870*s**5/3 - 668*s**4/3 - 2340*s**2. Factor x(m).
-2*m*(m + 668)*(7*m - 2)**2
Let p(y) = 50*y**2 + 1715*y + 1735. Let i(t) = -334*t**2 - 101*t - 102 - 338*t**2 + 669*t**2. Let d(f) = 35*i(f) + 2*p(f). Determine o so that d(o) = 0.
-20, -1
Let u(n) be the first derivative of 35*n**4/4 + 10510*n**3/3 + 395250*n**2 + 225000*n - 991. Factor u(r).
5*(r + 150)**2*(7*r + 2)
Let q(t) be the third derivative of -t**6/90 + 11*t**5/45 - 23*t**4/18 - 70*t**3/9 + 935*t**2. Factor q(z).
-4*(z - 7)*(z - 5)*(z + 1)/3
Let x(u) be the second derivative of u**7/168 - 23*u**6/120 + 47*u**5/80 + 311*u**4/48 - 44*u**3 + 90*u**2 - 4*u - 405. Solve x(z) = 0 for z.
-4, 1, 3, 20
Let u(y) = -y**2 + 18*y + 181. Let m be u(25). Find x, given that 5*x**2 + 2*x + 4*x - m*x - 4*x - x = 0.
0, 1
Let m(n) be the first derivative of -27/4*n + 1/2*n**3 - 3/32*n**4 + 132 + 45/16*n**2. Suppose m(g) = 0. What is g?
-3, 1, 6
Suppose 23 = 20*u - 17. Let s be (-7)/(63/(-24)) - (-13)/(156/(-16)). Factor 8/3*g + s + g**u.
(g + 2)*(3*g + 2)/3
Suppose -u - z + 9 = 0, 1112*u - 4*z + 18 = 1107*u. Find v, given that -u*v**2 + 2/9*v**3 + 40/9*v + 0 = 0.
0, 4, 5
Let d(u) = -2*u**2 + 14*u - 22. Let n be d(4). Solve 40*x**4 + 115 - 115 + 25*x**5 - 250*x**n + 25*x**3 - 20*x**5 = 0.
-5, 0, 2
Let n(i) be the first derivative of -i**4/10 + 6*i**3 - 479*i**2/5 - 210*i + 2810. Suppose n(q) = 0. What is q?
-1, 21, 25
Let r = 99170 + -892517/9. Factor 0*l - 14/9*l**3 - r*l**2 - 1/9*l**4 + 0.
-l**2*(l + 1)*(l + 13)/9
Let o = 683631778/105 - 6510611. Let n = o - 1173/7. Determine g so that -n*g + 2/15*g**2 + 0 + 2/15*g**3 = 0.
-2, 0, 1
Let g = 52205/4 - 40055/4. Solve 3/2*n**2 + g - 135*n = 0.
45
Let a be ((-24)/(-7))/((-308)/294). Let r = a - -705/44. Let -r*l - 3/2 - 45/2*l**2 = 0. Calculate l.
-2/5, -1/6
Let n(m) = -4*m**2 - 182*m - 166. Let u(a) = -4*a**2 - 184*a - 164. Suppose 5*q = -53 + 68. Let c(j) = q*u(j) - 4*n(j). Let c(y) = 0. Calculate y.
-43, -1
Let v(p) be the third derivative of p**8/448 + 13*p**7/140 + 63*p**6/40 + 539*p**5/40 + 1715*p**4/32 - p**2 + 740. What is z in v(z) = 0?
-7, -5, 0
Let j(v) = -v**3 - 7*v**2 + 32*v + 23. Let s be j(-10). Factor 8*u + 17*u**4 + 26*u**2 + 40*u**s - 9*u**3 - u**4 + 0*u**4 + 3*u**5.
u*(u + 1)**2*(u + 2)*(3*u + 4)
Let 0 - 5/3*v**3 + 1650*v**2 - 408375*v = 0. Calculate v.
0, 495
What is s in -37*s**3 - 264*s - 21*s**4 + 99*s + 276*s**2 - 27*s**3 + 25*s**4 - 195*s = 0?
0, 3, 10
Find a such that 5*a**3 + 3674 + 3*a**4 - 11*a**3 + 12*a**3 - 21*a**2 - 24*a - 3638 = 0.
-3, -2, 1, 2
Suppose 2*h = -v - 0*h, 22*v = 22*v + 3*h. Let u(p) be the second derivative of -1/16*p**4 - 34*p + 0*p**2 + v + 5/4*p**3. Let u(q) = 0. Calculate q.
0, 10
Let d(l) be the second derivative of l**5/40 + 13*l**4/8 + 105*l**3/4 + 725*l**2/4 - 12*l + 3. Factor d(i).
(i + 5)**2*(i + 29)/2
Suppose 2*l + 7*f = -304 + 269, -15 = 4*l + 3*f. Suppose l*t - 3/2*t**2 + 6 = 0. Calculate t.
-2, 2
Suppose -13*x - 68*x = -33*x - 192. Let h(n) be the second derivative of 2*n**2 + n**3 - 11*n + 1/6*n**x + 0. What is j in h(j) = 0?
-2, -1
Let p(y) = 4*y**4 - 99*y**3 - 4*y**2 - 3. Let u(t) = 17*t**4 - 365*t**3 - 15*t**2 - 11. Let n(j) = -22*p(j) + 6*u(j). Factor n(h).
2*h**2*(h - 1)*(7*h + 1)
Let y(b) = 240*b - 10800. Let x be y(45). Factor 2/11*r**3 + x + 2/11*r**2 - 12/11*r.
2*r*(r - 2)*(r + 3)/11
Suppose -2*y = 2*y - 8. Let t be (-3450)/(-138) + (-141)/6. Solve 3*s - 3/2*s**y - t = 0 for s.
1
Determine n so that -n**2 - 4*n**2 - 163*n - 3314 + 3314 + 408*n = 0.
0, 49
Suppose 36*r = 47*r - 33. Let n be r/(-5) - 184/(-115). Find y such that -2*y**2 - 7/2*y + n = 0.
-2, 1/4
Let w = 973 + 336. Let j = -1304 + w. Factor -4/7*a**2 + 0*a**4 + 6/7*a + 4/7 + 2/7*a**j - 8/7*a**3.
2*(a - 2)*(a - 1)*(a + 1)**3/7
Let c(g) be the third derivative of -g**6/90 - 56*g**5/45 - 392*g**4/9 - 874*g**2. Factor c(i).
-4*i*(i + 28)**2/3
Factor 9546*f**2 - 19085*f**2 - 1760 + 9544*f**2 - 420*f.
5*(f - 88)*(f + 4)
Let p be 2 - ((-1)/(3/33))/(-1). Let f(g) = g**2 + 46*g - 147. Let a(b) = 3*b**2 + 93*b - 294. Let q(n) = p*f(n) + 4*a(n). Find o such that q(o) = 0.
7
Let h(n) = -1409*n**2 - 4206*n + 66. Let x be h(-3). Factor -4/7*l + 10/7*l**2 + 0 - 8/7*l**x + 2/7*l**4.
2*l*(l - 2)*(l - 1)**2/7
Let r = 811 + -811. Let n(k) be the third derivative of 0*k**3 + r - 1/120*k**6 - 1/315*k**7 - 1/18*k**4 + 1/1008*k**8 + 0*k + 4*k**2 + 2/45*k**5. Factor n(y).
y*(y - 2)*(y - 1)**2*(y + 2)/3
Let x(j) be the third derivative of -464/39*j**4 + 46/5*j**5 - 203/195*j**6 + 0*j + 7/195*j**7 + 3 + 256/39*j**3 - 23*j**2. Solve x(k) = 0.
2/7, 8
Find t such that -51*t**2 + 10*t**4 + 71*t**3 + 108 + 420*t + 475*t**2 - 28*t**4 + 34*t**3 + 41*t**2 = 0.
-2, -2/3, -1/2, 9
Let b(d) = 9*d**3 - 81*d**2 + 634*d - 4. Let n(i) = 16*i**3 - 160*i**2 + 1267*i - 7. Let p(v) = -7*b(v) + 4*n(v). Factor p(z).
z*(z - 63)*(z - 10)
Factor 608/9 - 308/9*d + 2/9*d**2.
2*(d - 152)*(d - 2)/9
Let z(p) be the third derivative of 111*p**7/140 + 107*p**6/80 - p**5/10 + 221*p**2 + 4*p. Suppose z(o) = 0. Calculate o.
-1, 0, 4/111
Let r = -29719/63 - -4246/9. Let w(n) be the second derivative of 0 + 37/20*n**5 - 11/4*n**4 + 0*n**2 - 8*n - 1/2*n**6 + 3/2*n**3 + r*n**7. Factor w(l).
l*(l - 3)**2*(l - 1)*(2*l - 1)
Let d be 6/51 - (-299430)/177225. Let p = d - 1/139. Suppose 0*u + 0 - 3/5*u**3 - p*u**4 + 0*u**2 = 0. Calculate u.
-1/3, 0
Let t(n) be the third derivative of 13*n**6/120 + 67*n**5/60 + 31*n**4/12 + n**3/6 - 101*n**2 - 3. Let m(d) = -1. Let p(o) = -21*m(o) + 3*t(o). Factor p(u).
3*(u + 1)*(u + 4)*(13*u + 2)
Let l = 402 - 396. Suppose 22*v**2 + 28*v**2 - l*v**2 + 96*v - 21*v**4 - 11*v**3 + 17*v**4 - 13*v**3 - 112 = 0. What is v?
-7, -2, 1, 2
Let q(z) be the third derivative of 23 + 0*z**5 + 0*z - 8/9*z**3 - 6*z**2 - 1/6*z**4 + 1/360*z**6. Factor q(j).
(j - 4)*(j + 2)**2/3
Let o(i) be the second derivative of -1/60*i**5 - 1/9*i**3 + 0*i**2 - 1 + 1/12*i**4 + 10*i. Solve o(l) = 0.
0, 1, 2
Let 144 + 2*p**4 - 8*p**2 + 308*p + 84007*p**3 - 84027*p**3 + 150 = 0. What is p?
-3, -1, 7
Factor -999/2*x - 42*x**2 + 0 + 3/2*x**3.
3*x*(x - 37)*(x + 9)/2
Suppose 196*i = -144*i. Solve 9/2*f**3 + i - 3/2*f**5 + 0*f**4 - 3*f**2 + 0*f = 0 for f.
-2, 0, 1
Determine i, given that -i**3 + 1008*i - 1574 - 246*i**2 + 0*i**3 - i**3 - 1803 + 2361 = 0.
-127, 2
Suppose 0 = 14*w - 2717 - 1469. Let n = -2092/7 + w. Factor 0 + 3/7*l - 1/7*l**4 + n*l**3 + 5/7*l**2.
-l*(l - 3)*(l + 1)**2/7
Suppose 0 = -613*n + 308 - 308. Let c be (32/7)/2 - 2. Factor 3/7*t**2 - 1/7*t**3 - c*t + n.
-t*(t - 2)*(t - 1)/7
Factor 5*j**3 - 377*j - 85*j - 285 + 48*j - 275*j**2 - 151*j.
5*(j - 57)*(j + 1)**2
What is g in -31/2*g**2 + 231/2*g - 441/2 + 1/2*g**3 = 0?
3, 7, 21
Let w = 14 + -12. Factor -41*g**3 + 36*g**2 + 4*g**5 - 4*g - 4*g - 48*g**w + 45*g**3 + 12*g**4.
4*g*(g - 1)*(g + 1)**2*(g + 2)
Let x(b) be the first derivative of -b**6/3 - 16*b**5/5 - 21*b**4/2 - 12*b**3 - 2134. Suppose x(m) = 0. Calculate m.
-3, -2, 0
Let 0 - 473/3*t + 97/3*t**2 - 2/3*t**3 = 0. Calculate t.
0, 11/2, 43
Let v(z) be the first derivative of 4*z**5/15 + 35*z**4 + 1636*z**3/9 + 338*z**2 + 808*z/3 + 583. Find l such that v(l) = 0.
-101, -2, -1
Let i = -241 - -245. Factor 80158*p + p**i - 80140*p - 22*p**4 - 39*p**2 - 78*p**3.
-3*p*(p + 1)*(p + 3)*(7*p - 2)
Let z be -6 - ((-133)/(-2128) - (-403)/(-48)). Factor z - 2*m - 1/3*m**2.
-(m - 1)*(m + 7)/3
Let n = -365 + 368. Solve -21*z**2 - 2*z**2 - 51*z**n - 9*z + 7*z**2 - 23*z**2 - 21*z**4 = 0.
-1, -3/7, 0
Suppose 54 - 3/4*v**4 - 147/4*v**2 - 12*v**3 - 9/2*v = 0. Calculate v.
-12, -3, -2, 1
Factor 10600 - 10600 + 3*c**4 - 426*c**3 - 1386*c**2 + 2190*c - 381*c**2.
3*c*(c - 146)*(c - 1)*(c + 5)
Let b = 719 - 715. 