f -1/180*n**5 - n**2 + 0 + 0*n - 1/360*n**6 + 0*n**i + 0*n**3. Factor r(o).
-o**2*(o + 1)/3
Suppose 6*l = -954 - 576. Let b = l + 255. Factor 1/4*x**3 + 0*x**2 + b + 0*x.
x**3/4
Suppose -3*g = 4*b - 25 + 8, -2*b + 10 = 2*g. Suppose 72 - 16*p**2 + 15*p**3 + 10*p**b - 15*p**2 + 0*p**3 - 174*p = 0. What is p?
-3, 2/5, 4
Factor 0*b + 0*b**2 + 0 - 2/5*b**4 - 12/5*b**3.
-2*b**3*(b + 6)/5
Let w(j) = -5*j**3 - 3*j**2 + 62*j. Let f(u) = 14*u**3 + 8*u**2 - 176*u. Let x(z) = -18*f(z) - 51*w(z). Find p such that x(p) = 0.
-2, -1, 0
Let x(f) = 11*f**2 + 47*f - 66. Let w(p) = 10*p**2 + 46*p - 69. Let h(v) = -8*w(v) + 7*x(v). Factor h(g).
-3*(g - 2)*(g + 15)
Let j(w) = -w**3 - 7*w**2 - 8*w - 9. Let a be j(-6). Factor 180 + 5*s**4 - 9*s**4 + 16*s - 180 - 12*s**a.
-4*s*(s - 1)*(s + 2)**2
Let c(y) be the first derivative of 7/20*y**5 - 3/8*y**4 + 42 + 4*y**2 - 8/3*y**3 + 0*y - 1/24*y**6. Suppose c(a) = 0. What is a?
-2, 0, 1, 4
Suppose -3*o - 1 = -13, -48 = -4*b - 2*o. Let k be 165/50*-3 + b. Find d, given that 3/10*d + k*d**2 + 1/5 = 0.
-2, -1
Suppose 0 = 835*o - 853*o + 288. Let b(j) be the first derivative of -o + 2/63*j**3 - 1/21*j**2 + 1/42*j**4 - 2/21*j. Let b(x) = 0. Calculate x.
-1, 1
Let m(o) = -o**3 - o**2 + o. Let a(j) = -j**4 + 3*j**3 - j**2 - 15*j - 14. Let b be (-3)/(6/2) - 3. Let u(t) = b*m(t) + a(t). Solve u(q) = 0 for q.
-1, 2, 7
Let s = -1538399 + 1538401. Factor 0 + 17*n - 1/3*n**s.
-n*(n - 51)/3
Let t = -34601 + 103807/3. Factor -14/3*r + t + 10/3*r**2.
2*(r - 1)*(5*r - 2)/3
Let l be (-289)/(-1)*(7801/(-145) - -54). Determine v, given that 33/5*v**2 - l + 1/5*v**3 + 51*v = 0.
-17, 1
Let i(u) be the second derivative of 1/70*u**5 - 13 - 2*u + 2/7*u**2 - 1/21*u**4 - 1/21*u**3. Suppose i(d) = 0. What is d?
-1, 1, 2
Let l(i) be the first derivative of -i**4/20 - 20*i**3/3 + i**2/10 + 20*i + 621. Factor l(j).
-(j - 1)*(j + 1)*(j + 100)/5
Let k(w) = -2*w**2 + 76*w + 6. Let b be k(38). Let c be b + (-7)/2 - (-75)/(-42). Factor 0*l**2 + 0 - c*l**4 + 0*l + 1/7*l**3 + 4/7*l**5.
l**3*(l - 1)*(4*l - 1)/7
Let m be (-159)/(-180) + (-181)/2172. Let g(o) be the first derivative of -20 - m*o - 8/5*o**3 - 1/2*o**4 - 9/5*o**2. Determine q, given that g(q) = 0.
-1, -2/5
Let v(p) = -2*p**2 - 4. Let z(x) = -5*x**3 - 618*x**2 + 1275*x - 616. Let t(r) = -6*v(r) - z(r). Factor t(u).
5*(u - 1)**2*(u + 128)
Let j(r) = -3*r**3 + 2*r**2. Let m be j(0). Let y(q) be the third derivative of m + 1/15*q**5 + 22*q**2 + 0*q - 28/15*q**3 - 11/10*q**4. What is t in y(t) = 0?
-2/5, 7
Suppose -2*c - 208 = 22. Let r be 7 - (c/(-15) - 1). Factor -1/3*w + r*w**2 + 0.
w*(w - 1)/3
Factor -2/3*q**2 - 44/3*q + 736.
-2*(q - 24)*(q + 46)/3
Suppose -2*d + 4*s = -28, 0 = 4*d - 6*s + s - 44. Suppose -d*a + 19 = 7. Factor -9*v**2 - 5*v**a + 16 + 10*v**2.
-4*(v - 2)*(v + 2)
Suppose -115560/7*m - 2/7*m**4 - 97200/7 - 2676*m**2 - 374/7*m**3 = 0. Calculate m.
-90, -6, -1
Let i(y) be the second derivative of y**4/12 - 5*y**3/3 + 7*y - 205. Factor i(g).
g*(g - 10)
Let z(f) = -25*f**3 + 6*f**2 + f - 132. Let p(a) = 14*a**3 - 2*a**2 + 66. Let w(g) = 9*p(g) + 5*z(g). Factor w(i).
(i - 2)*(i + 3)*(i + 11)
Suppose -8*n**2 - 50*n**3 + 5*n**3 + 40*n**2 + 40*n**3 + 53*n**2 - 85 + 5*n = 0. What is n?
-1, 1, 17
Let g(z) be the third derivative of z**5/270 - 17*z**4/108 - 2*z**3/3 - 1111*z**2. Let g(v) = 0. What is v?
-1, 18
Factor -99 + 4*k**2 - 30*k - 265 - 130*k + 713 + 467.
4*(k - 34)*(k - 6)
Let a(s) be the first derivative of 5*s**6/6 + 23*s**5/5 + 15*s**4/2 + 4*s**3/3 - 4*s**2 - 254. Suppose a(o) = 0. Calculate o.
-2, -1, 0, 2/5
Let c(t) be the third derivative of t**6/540 - t**5/54 + 7*t**4/108 - t**3/9 - 2913*t**2. Solve c(n) = 0.
1, 3
Suppose -32*o - y - 5 = -34*o, -11 = -4*o + y. Find s such that 0 + 7/4*s**2 + 9/4*s**o + 1/2*s + 1/4*s**5 + 5/4*s**4 = 0.
-2, -1, 0
Let i(q) = 4*q**2 + 33*q + 17. Let c(m) = 7*m + 8 + 3*m + m**2 + 6*m. Let n(j) = -9*c(j) + 4*i(j). Factor n(d).
(d - 2)*(7*d + 2)
Let f(y) be the third derivative of y**6/480 + 9*y**5/80 - 25*y**4/24 - 25*y**3/2 + 4497*y**2 + y. Find d such that f(d) = 0.
-30, -2, 5
Let v(n) be the third derivative of -2*n**7/525 - n**6/60 + 4*n**5/15 - n**4/4 - 6*n**3/5 - 2*n**2 - 38. What is i in v(i) = 0?
-6, -1/2, 1, 3
Let c(p) be the second derivative of p**5/8 - 25*p**4 - 205*p**3 - 620*p**2 + p + 378. Solve c(u) = 0.
-2, 124
What is y in 2/13*y**2 - 22/13*y - 204/13 = 0?
-6, 17
Let f(v) = -34*v**2 + 148*v - 30. Suppose -14*h + 4 = 88. Let p(d) = -11*d**2 + 49*d - 10. Let c(m) = h*f(m) + 21*p(m). Determine i so that c(i) = 0.
2/9, 5
Let a(z) be the third derivative of 9/10*z**4 + 1/100*z**5 + 66 - 37/10*z**3 - 2*z**2 + 0*z. Determine c so that a(c) = 0.
-37, 1
Let y = -16/28847 + 807764/86541. Factor x + y - 1/3*x**2.
-(x - 7)*(x + 4)/3
Let v = -952588/45 - -190604/9. Factor v + 0*w**2 + 52/5*w - 4/5*w**3.
-4*(w - 4)*(w + 1)*(w + 3)/5
Factor 8*b**3 - 85527*b**2 - 3*b**4 - 120*b + 5*b**3 - 10*b**3 + 85629*b**2 + 18*b**3.
-3*b*(b - 10)*(b - 1)*(b + 4)
Let s(d) = 5*d**4 + 12*d**3 - 21*d**2 - 14*d + 24. Let l(m) = -58*m**4 - 132*m**3 + 232*m**2 + 155*m - 266. Let v(t) = -6*l(t) - 69*s(t). Solve v(a) = 0 for a.
-1, 1, 2, 10
Let z(f) be the third derivative of -5*f**5/8 + 395*f**4/24 + 385*f**3/12 - 5835*f**2. Determine t, given that z(t) = 0.
-7/15, 11
Let q(c) be the second derivative of c**4/96 + 53*c**3/16 + 157*c**2/8 - 2912*c. Solve q(o) = 0 for o.
-157, -2
Let p(z) = -z**3 - 6*z**2 - z + 5. Let o be p(-6). Suppose 0 = -17*x + o*x + 18. Determine q, given that 54*q**x - 103*q**3 + 6 - 5*q - 2*q**2 + 50*q**3 = 0.
-2, 1, 3
Let p be ((-18)/42)/((-1282)/(-56) + -23). Solve 17/4*y + 1/4 + p*y**2 = 0.
-1, -1/16
Let f = -91377 + 91382. Solve -1/2*w**4 + 0 + 5/2*w**2 - w + 1/2*w**f - 3/2*w**3 = 0.
-2, 0, 1
Let z be 2/6*(-15)/(-8). Suppose -1580160*w = -1580094*w - 132. Determine m so that -1/8*m**w - 3/4 + z*m = 0.
2, 3
Let m(q) be the third derivative of q**8/211680 + q**7/13230 + 101*q**5/30 - 22*q**2. Let x(w) be the third derivative of m(w). What is d in x(d) = 0?
-4, 0
Let r be 10/25*-3 - (-1736)/980. Find c, given that -40/7 + 36/7*c + r*c**2 = 0.
-10, 1
Let a(p) = -5*p**3 + p**2 - p. Let w(m) = -46*m**3 - 107*m**2 + 476*m + 600. Let o(j) = -18*a(j) + 2*w(j). Factor o(g).
-2*(g - 5)*(g + 1)*(g + 120)
Let w(k) be the third derivative of -k**6/420 - 101*k**5/70 - 7701*k**4/28 - 22801*k**3/21 - 3481*k**2. Factor w(u).
-2*(u + 1)*(u + 151)**2/7
Let b(w) be the first derivative of -w**3 + 9936*w**2 - 32908032*w + 6116. Solve b(t) = 0.
3312
Let s(f) be the first derivative of -f**4/10 - 36*f**3/5 - 108*f**2 + 2160*f + 2680. Factor s(g).
-2*(g - 6)*(g + 30)**2/5
Let x(i) be the third derivative of -i**6/24 - 451*i**5/3 - 1017005*i**4/6 + 205*i**2. Factor x(h).
-5*h*(h + 902)**2
Factor 13/11*c**2 - 60/11*c + 10/11*c**3 + 36/11 + 1/11*c**4.
(c - 1)**2*(c + 6)**2/11
Suppose -7*l = -4*l - 15. Let t be 4/7*98/28. Determine m so that 0*m**2 + 7*m**t - 2 - l*m**2 = 0.
-1, 1
Let v(o) be the third derivative of -o**6/300 - 69*o**5/25 - 721*o**4 - 84872*o**3/15 - 3778*o**2. Solve v(n) = 0 for n.
-206, -2
Let j(l) be the second derivative of -l**5/35 - 58*l**4/7 - 17*l - 10. Let j(z) = 0. What is z?
-174, 0
Let z = 7142 - 7142. Let y(k) be the third derivative of 10*k**2 + 1/40*k**7 + 1/40*k**5 + z*k**4 + 0*k**3 + 0 + 0*k - 9/160*k**6. Factor y(v).
3*v**2*(v - 1)*(7*v - 2)/4
Let r(h) be the first derivative of -10/7*h**3 + 0*h - 9/14*h**4 - 103 - 2/35*h**5 + 25/7*h**2. Factor r(g).
-2*g*(g - 1)*(g + 5)**2/7
Let c = 20779 + -20777. Let a(f) be the second derivative of 0 + 3/2*f**c + 15*f + 5/8*f**3 + 1/16*f**4. Factor a(l).
3*(l + 1)*(l + 4)/4
Let b be (-2)/3 - (-5 + 8/(-12)). Let h be ((-6)/4)/3*(b + -9). Suppose 19*t + 8*t**h - 19 + 4 - 3*t**2 - 29*t = 0. Calculate t.
-1, 3
Let j = -96 + 232. Factor -27*f**2 - 109*f - 5*f**3 - 12*f**2 - 31*f**2 - j*f.
-5*f*(f + 7)**2
Let b(g) = -g - 1. Let j(q) = -29*q - 241. Let c(u) = -6*b(u) - j(u). Let z be c(-7). Factor 0*f + 0*f**3 + 0 - 1/2*f**z + 1/2*f**4.
f**2*(f - 1)*(f + 1)/2
Let a(y) be the first derivative of 9*y**2/2 + 48*y - 44. Let x be a(-5). Factor -x*j + 9*j + j - 3*j**2 + 20*j.
-3*j*(j - 9)
Let s(m) be the first derivative of -5329*m**6/2 - 560421*m**5/5 - 5194473*m**4/4 - 1634537*m**3 - 128520*m**2 - 3468*m - 