 - 13*l**2 + 2. Factor r(v).
2*(v - 27)*(v + 2)*(v + 14)
Let f(l) = -141*l + 1560. Let t be f(11). Let d(r) be the third derivative of 0*r - t*r**3 - 1/90*r**5 + 0 + 1/2*r**4 + 25*r**2. Suppose d(i) = 0. Calculate i.
9
Suppose 4*d = -3*o + 10, o + 0*d = 4*d - 2. Determine i, given that -238*i + 0*i**o - 2*i**2 + 238*i = 0.
0
Let k = -38122 + 38124. Solve 2/3*a**k - 2/3 + 4/3*a - 4/3*a**3 = 0.
-1, 1/2, 1
Let y = -3120 - -3136. Let b(s) be the first derivative of -8/15*s - 2/75*s**5 + 2/15*s**3 + 1/15*s**4 - y - 4/15*s**2. Factor b(k).
-2*(k - 2)**2*(k + 1)**2/15
Let v(l) be the first derivative of -l**4/16 - 115*l**3/6 + 233*l**2/8 + 231*l/2 + 5395. Factor v(k).
-(k - 2)*(k + 1)*(k + 231)/4
Let m be (11/(-165))/((75/30)/(-5)). Solve m*i**2 - 4/3*i + 6/5 = 0 for i.
1, 9
Factor -50/3*n**2 - 5/3*n**3 + 640/3*n - 480.
-5*(n - 4)**2*(n + 18)/3
Let h(i) be the first derivative of -12/11*i + 10/33*i**3 - 5/22*i**4 + 5/11*i**2 + 2/55*i**5 - 107. Suppose h(d) = 0. What is d?
-1, 1, 2, 3
Let g(v) be the first derivative of 2*v**3 - 3/20*v**5 - 9/2*v**2 + 3/16*v**4 + 0*v + 77. Let g(n) = 0. Calculate n.
-3, 0, 2
Let w = 167 + -175. Let a(g) = 52*g**2 + 196*g + 64. Let d(r) = 35*r**2 + 131*r + 43. Let p(f) = w*d(f) + 5*a(f). Factor p(j).
-4*(j + 3)*(5*j + 2)
Let z(i) be the first derivative of 25*i**2 - 33 - 64/5*i**5 - i**6 - 80/3*i**3 + 0*i - 47*i**4. Determine b, given that z(b) = 0.
-5, -1, 0, 1/3
Let r be ((-702)/(-195912))/((-2)/(-836)). Let s = r - -2/907. Suppose q + 1/2*q**2 - s = 0. What is q?
-3, 1
Suppose 190 = 5*z - 0*z. Let c = 41 - z. Factor -14*v + 4*v**5 + 8*v**2 + 24*v**4 - 35 - 34*v + c + 44*v**3.
4*(v - 1)*(v + 1)*(v + 2)**3
Let o(y) be the third derivative of 0 - 13/54*y**4 + 17/135*y**6 - 1/189*y**7 + 0*y - 37/270*y**5 + 64*y**2 + 0*y**3. Let o(r) = 0. Calculate r.
-2/5, 0, 1, 13
Let m be (-2)/(-30) - 60/2475*26383/(-28). Let i be (2/(-6))/((-33)/2430). Suppose i*t + 2/11*t**5 + 112/11*t**3 + 108/11 + m*t**2 + 24/11*t**4 = 0. What is t?
-3, -2, -1
Let j be (-122)/(-12) - 9/(-18). Suppose 6 = d + 4*s, -90*s + 12 = 2*d - 87*s. Factor d*g - 4*g**4 - j*g**2 - 4/3 + 28/3*g**3 + 2/3*g**5.
2*(g - 2)*(g - 1)**4/3
Let 11336/17*s + 24336/17 - 90/17*s**3 - 2/17*s**4 - 588/17*s**2 = 0. What is s?
-26, -2, 9
Let y be ((-195)/1560)/(2/(-8)). Factor 1/2*s**2 - 1/2*s**3 - y + 1/2*s.
-(s - 1)**2*(s + 1)/2
Find g such that -37*g**2 - 152 - 1/4*g**3 + 151*g = 0.
-152, 2
Let q be -5 - (10 + (-427108)/29799). Let d = -1/2709 - q. Factor -8/3*h**4 + 4*h**3 - 8/3*h**2 + 2/3*h**5 + 0 + d*h.
2*h*(h - 1)**4/3
Let g = -115714 + 462857/4. Factor -5/4*i - 1 - g*i**2.
-(i + 1)*(i + 4)/4
Let -9/2*k - 87/2*k**2 + 3/2*k**4 + 9/2*k**3 + 42 = 0. Calculate k.
-7, -1, 1, 4
Let j = 31670 + -221687/7. Suppose 27/7*f + 0 + j*f**2 = 0. Calculate f.
-9, 0
Let f = -1878758 + 1878761. Factor 8*b + 1/2*b**5 + 1/2*b**f + 0 - 12*b**2 + 3*b**4.
b*(b - 1)**2*(b + 4)**2/2
Let u(c) = -36*c**3 - 2222*c**2 - 2092*c + 4306. Let s(f) = -5*f**3 - 317*f**2 - 299*f + 615. Let y(l) = -44*s(l) + 6*u(l). Factor y(m).
4*(m - 1)*(m + 2)*(m + 153)
Let r = 21 + -16. Suppose 7*n - r*n = 50. Solve -n*l + 3*l**2 - 14*l**2 - 20 + 6*l**2 = 0.
-4, -1
Let b(s) be the third derivative of s**5/15 + s**4/6 - 104*s**3 - 2123*s**2. Factor b(n).
4*(n - 12)*(n + 13)
Suppose 0 = 47*j - 15*j - 288. Suppose -t + 3*r = 7, 3*t - j = -0*r - r. Suppose 0 - 123/5*x**3 - 12/5*x + 72/5*x**t + 63/5*x**4 = 0. What is x?
0, 2/7, 2/3, 1
Let v(b) be the third derivative of -b**8/84 - 88*b**7/105 + b**6/15 + 88*b**5/15 - b**4/6 - 88*b**3/3 + b**2 + 300. Find i such that v(i) = 0.
-44, -1, 1
Let b be (-144)/(-88) - 3/(-22)*24/9. Factor 32/9*u**5 + 16/3*u**4 - 58/9*u**2 + b - 10/3*u**3 + 2/3*u.
2*(u + 1)**3*(4*u - 3)**2/9
Let p(t) = t**2 + 168*t - 3528. Let i(d) = -4*d**2 - 504*d + 10584. Let y be (0 - -24)/(-6) - 6. Let x(z) = y*p(z) - 3*i(z). Factor x(o).
2*(o - 42)**2
Suppose -27/2*s + 0 - 3/4*s**5 + 39/4*s**4 + 141/4*s**2 - 123/4*s**3 = 0. What is s?
0, 1, 2, 9
Suppose 10*q + 88 = 21*q. Let q*c + 6*c**2 - 30*c**3 - 2 - 4*c**2 - 27*c**3 + 49*c**3 = 0. Calculate c.
-1, 1/4, 1
Let d(t) be the second derivative of -t**4/4 + 971*t**3/2 + 4383*t**2 + 5846*t. Find o such that d(o) = 0.
-3, 974
Let u be (-166)/(-14) + 4/140*5. Let 11*z**3 + 37*z**3 - 27*z**2 + 11*z + 17*z - 38*z + u*z - 23*z**4 = 0. Calculate z.
0, 2/23, 1
Let i(j) = -j**2 + j + 9. Let g be i(4). Let t be (-1 - 5)*(9/6)/g. Factor -8*k**2 + 7*k - 2*k - 5*k**t + 13*k**2 - 5.
-5*(k - 1)**2*(k + 1)
Let 188/17*v**3 + 386/17*v - 132/17 - 24*v**2 + 2/17*v**5 - 36/17*v**4 = 0. Calculate v.
1, 2, 3, 11
Let l(w) be the first derivative of 1/2*w**3 - 13/4*w**2 - 91 + 2*w. Factor l(s).
(s - 4)*(3*s - 1)/2
Suppose -640*o = -653*o - 13. Let v(z) = -z**3 - 4*z**2 - 6*z + 6. Let x(j) = 1 + 0*j - 2*j + j. Let l(n) = o*v(n) + 6*x(n). Factor l(w).
w**2*(w + 4)
Let g(d) = d**2 + 5*d - 89. Let l be g(8). Let u be 9/l + (-12)/(-5). Factor 192/5 + 1029/5*b**u + 1008/5*b + 1764/5*b**2.
3*(7*b + 4)**3/5
Let l(k) be the first derivative of -31*k**3 + 0*k - 155 + 0*k**2 - 3/4*k**4. Let l(m) = 0. What is m?
-31, 0
Determine y, given that -7/2*y**2 - 1/2*y**4 + 4 - 9/2*y + 9/2*y**3 = 0.
-1, 1, 8
Let h(q) be the first derivative of 3/2*q**4 + 0*q**2 + 105 + q**6 + 16/5*q**5 + 0*q - 4/3*q**3. Let h(u) = 0. Calculate u.
-2, -1, 0, 1/3
Let n be -10 - ((-64)/10)/(321/535). Factor -n*k + 1/3*k**2 - 1.
(k - 3)*(k + 1)/3
Suppose 21*p - 40 = 13*p. Suppose 15*b = 16*b - p. Factor 0*a + 0 - 2/9*a**2 - 1/3*a**3 + 1/9*a**b + 0*a**4.
a**2*(a - 2)*(a + 1)**2/9
Let t be ((-510)/36)/(-3 - 35/5). Let v(s) be the second derivative of -7/30*s**6 + 0 - 1/42*s**7 + 0*s**2 - 3*s - s**3 - t*s**4 - 17/20*s**5. Solve v(y) = 0.
-3, -2, -1, 0
Let f(i) be the first derivative of -i**6/6 - 12*i**5/5 - 12*i**4 - 82*i**3/3 - 63*i**2/2 - 18*i - 5194. Suppose f(b) = 0. Calculate b.
-6, -3, -1
Let y be ((-3 - 178)*1)/203. Let o = -1/29 - y. Let -o*b + 9/7*b**2 - 3/7*b**3 + 0 = 0. What is b?
0, 1, 2
Let m(u) be the first derivative of -13*u + 235 - 51/2*u**2 + 4/3*u**3. Factor m(b).
(b - 13)*(4*b + 1)
Let t = -59 + 46. Let z = t - -20. Let i(s) = -2*s**4 - s**3 + 2*s**2 - 2*s. Let o(c) = 5*c**4 + 2*c**3 - 5*c**2 + 5*c. Let y(j) = z*i(j) + 3*o(j). Factor y(q).
q*(q - 1)**2*(q + 1)
Let m = 14 - 40. Let n(g) = -g**3 - 22*g**2 + 103*g - 24. Let c be n(m). Factor 3/5*i + 0 - 3/5*i**c.
-3*i*(i - 1)/5
Let n be ((-102)/4641)/((15/(-35))/1). Let m(q) be the first derivative of -2/65*q**5 - 16 + 1/26*q**4 - 1/39*q**6 + 0*q**2 + n*q**3 + 0*q. Factor m(x).
-2*x**2*(x - 1)*(x + 1)**2/13
Let j(f) be the first derivative of 49*f**3 + 171 - 1875*f - 1725/2*f**2 - 3/4*f**4. Let j(d) = 0. Calculate d.
-1, 25
Let i(y) be the third derivative of 43/960*y**6 - 11/840*y**7 - 80*y**2 + 1/120*y**5 - 1/48*y**4 - 1/128*y**8 + 0 + 0*y**3 + 0*y. Find g, given that i(g) = 0.
-2, -1/3, 0, 2/7, 1
Let r be 300/(-40)*((-13)/9 + 1). Let j be 20/35 - (214/(-42) + 5). Find o, given that 4/9*o - r*o**2 - 5/9*o**3 + 17/9*o**4 + j*o**5 + 8/9 = 0.
-2, -1/2, 2/3, 1
Let k = -9557/5 - -19169/10. Factor 4*g**2 - k*g + 1/2*g**3 - 9.
(g - 2)*(g + 1)*(g + 9)/2
Let r(m) be the third derivative of -1/12*m**4 + 2/75*m**6 + 95*m**2 + 0 + 0*m - 1/350*m**7 - 1/100*m**5 + 0*m**3. Suppose r(y) = 0. Calculate y.
-2/3, 0, 1, 5
Factor 0 - 60/7*f + 2/7*f**2 + 2/7*f**3.
2*f*(f - 5)*(f + 6)/7
Suppose c = -9*c + 20. Find p such that -3*p**3 - p**4 - c*p**4 + 3*p**2 - 5 + 5 + 3*p**5 = 0.
-1, 0, 1
Let r(z) be the third derivative of z**6/180 + z**5/90 - 14*z**4/9 - 12*z**2 + 2*z - 54. Factor r(m).
2*m*(m - 7)*(m + 8)/3
Let i be 5/((225/40)/9). Solve -2 + 7*m + 0*m + i*m - 11*m - 2*m**2 = 0 for m.
1
Let d(b) be the third derivative of -b**6/360 + 2*b**5/15 - 2*b**4 - 949*b**2 + 1. Factor d(o).
-o*(o - 12)**2/3
Let p be 1/2*-1*(-20)/5. Factor -81*n**3 + n**5 - 35*n**3 - 5*n**5 - 36*n**4 + 37*n + 0*n**5 - 172*n**p - 32 - 157*n.
-4*(n + 1)**3*(n + 2)*(n + 4)
Let m(q) be the third derivative of -q**5/180 - 781*q**4/144 + 391*q**3/36 + 2*q**2 + 567*q. Solve m(d) = 0.
-391, 1/2
Factor 0 - 116/3*b**3 + 2/3*b**4 + 440/3*b**2 - 144*b.
2*b*(b - 54)*(b - 2)**2/3
Suppose -m = -2*o + 52 + 47, 0 = -3*m - 3. Suppose 84*a - 46*a**5 - 6*a**4 + 114*a**3 - 147*a**3 + o*a**5 - 24 + 12*a**2 + 72 = 0. Calculate