 11*c - 215 = t. Let z = 210 + t. Factor -2/3*v**2 - 2/3*v + z.
-2*(v - 2)*(v + 3)/3
Let h(i) be the second derivative of -1/6*i**3 + 0 + 1/360*i**6 - 1/20*i**5 + 0*i**4 + 0*i**2 + 31*i. Let o(z) be the second derivative of h(z). Factor o(f).
f*(f - 6)
Let l(z) be the second derivative of -12 - 5*z**2 + 5/4*z**5 - 25/9*z**3 + 185/72*z**4 - 2*z. Determine v, given that l(v) = 0.
-3/2, -2/5, 2/3
Find f such that -8570*f**2 - 5*f**4 + 8440*f**2 - 96*f**3 + 6*f + 21*f**3 - 6*f = 0.
-13, -2, 0
Let i(d) be the third derivative of -d**7/70 - d**6/20 + 19*d**5/20 - 7*d**4/2 + 6*d**3 + 795*d**2. Factor i(n).
-3*(n - 2)*(n - 1)**2*(n + 6)
Solve -9898 + 10298 - 2540*o - 5*o**2 + 2620*o = 0 for o.
-4, 20
Let z be (-115)/25 + 5 - 264/(-15). Let b(r) be the first derivative of -12*r - 3*r**3 + 15/4*r**4 - 21 - z*r**2. Factor b(v).
3*(v - 2)*(v + 1)*(5*v + 2)
Let f(q) be the third derivative of -100/3*q**3 + 0*q + 0 + 1/84*q**7 - 5/12*q**6 + 20/3*q**4 + 5/672*q**8 + 26*q**2 + 2/3*q**5. Factor f(s).
5*(s - 2)**3*(s + 2)*(s + 5)/2
Let s(l) be the first derivative of -l**4 + 228*l**3 - 1742. Factor s(a).
-4*a**2*(a - 171)
Let k(s) = 5*s**4 - 32*s**3 - 42*s**2 + 32*s + 35. Let t(f) = -51*f**4 + 321*f**3 + 423*f**2 - 321*f - 351. Let l(b) = 21*k(b) + 2*t(b). Factor l(h).
3*(h - 11)*(h - 1)*(h + 1)**2
Let c = 90418 + -276346/3. Let m = c - -1757. What is n in 28/3*n + 8/3 - m*n**3 - 43/3*n**4 - 46/3*n**2 + 70/3*n**5 = 0?
-1, -1/2, -2/7, 2/5, 2
Let a(s) be the third derivative of 0*s**3 + 1/14*s**4 + 24*s**2 - 2 + 1/210*s**5 + 0*s. Let a(c) = 0. What is c?
-6, 0
Determine i so that -363*i**2 + 852*i - 388*i**2 - 384*i**2 + 3*i**3 + 2100 - 27*i + 1231*i**2 = 0.
-20, -7, -5
Let x(h) be the first derivative of 57 + 7/6*h**3 + 5/4*h**2 + 0*h. Determine u, given that x(u) = 0.
-5/7, 0
Suppose -232/3*u**2 + 124*u - 74/3 + 102*u**4 - 8/3*u**5 - 364/3*u**3 = 0. What is u?
-1, 1/4, 1, 37
Let m(u) = u**2 - u. Suppose -28 = -o - o. Suppose -20*j + 6 = -o*j. Let y(t) = 6*t**2 + 6*t + 2. Let n(d) = j*y(d) - m(d). Let n(a) = 0. What is a?
-1, -2/5
Suppose -4*b - 269 = -9*z + 71, 24 = z + 3*b. Let h be (-125)/42 + (-6)/z - -4. Factor h - 10/7*f + 2/7*f**2 + 2/7*f**3.
2*(f - 1)**2*(f + 3)/7
Suppose -8*n = n - 126. Factor -4*y**3 - 3*y**3 + n*y + 5*y**3 + 12*y**2.
-2*y*(y - 7)*(y + 1)
Let l(m) = -34*m**2 - 4216*m + 2. Let p be l(-124). Factor -2/7*f**3 - 38/7*f**p - 6 + 82/7*f.
-2*(f - 1)**2*(f + 21)/7
Factor 4*h**3 + 0 + 0*h + 2/3*h**4 + 10/3*h**2.
2*h**2*(h + 1)*(h + 5)/3
What is f in -48 - 260/11*f + 2/11*f**2 = 0?
-2, 132
Let c(t) be the first derivative of -4*t**3/21 + 9*t**2/7 - 18*t/7 - 1055. Let c(l) = 0. Calculate l.
3/2, 3
Let o(t) be the third derivative of t**6/60 + 7*t**5/30 - 5*t**4/12 - 25*t**3 + 671*t**2. Find w, given that o(w) = 0.
-5, 3
Suppose 4*h = -g + 12 - 0, 42 = 2*g - h. Let s be 8/g + (-56)/20 + 3. Find q such that -3/5*q - s*q**2 + 3/5*q**3 + 3/5 = 0.
-1, 1
Let k = 3 - 1. Let w = -38546 + 38549. Factor 4/3*g - 2*g**k - 1/3*g**4 + 4/3*g**w - 1/3.
-(g - 1)**4/3
Let d(j) be the second derivative of j**6/45 - 4*j**5/15 + 13*j**4/18 - 2*j**3/3 - j - 402. Factor d(i).
2*i*(i - 6)*(i - 1)**2/3
Let b(s) = -2*s**3 - 46*s**2 + 24*s + 555. Let f be b(-23). Solve -1/6*g**5 - 1/6*g**4 + 1/3*g**2 + 1/3*g**f - 1/6 - 1/6*g = 0.
-1, 1
Let t be 3 - (0 - (-4)/(-4)). Suppose -20 + t = -8*o. Find c such that -35*c**2 + 19*c**2 + 8*c + 14*c**o = 0.
0, 4
Suppose 402*z - 259 + 241 - 1590 = 0. Suppose 0*g + 2/11*g**z + 40/11*g**3 + 0 + 200/11*g**2 = 0. Calculate g.
-10, 0
Solve 1/4*s**2 + 35/4*s + 153/2 = 0.
-18, -17
Let l = -49363/7 + 7053. Let v(t) be the first derivative of 8/21*t**3 + 2/7*t**5 + 0*t**2 - l*t**4 + 0*t + 25/21*t**6 - 25. Find k such that v(k) = 0.
-1, 0, 2/5
Factor 2994/5*b + 2241009/5 + 1/5*b**2.
(b + 1497)**2/5
Let v(n) be the third derivative of n**6/280 + 87*n**5/140 - 11*n**4/7 - 67*n**2 + 2. Factor v(u).
3*u*(u - 1)*(u + 88)/7
Solve -36/7*w**2 + 0 - 64/7*w - 2/7*w**3 = 0 for w.
-16, -2, 0
Solve 6092*z**2 + 12*z**4 + 534*z**3 + 1680*z**3 + 126736 + 224636*z + 19048*z**2 - 50*z**3 + 74912*z**2 = 0 for z.
-89, -4/3, -1
Let l(y) be the first derivative of y**4/12 + y**3 + 27*y + 58. Let n(w) be the first derivative of l(w). Factor n(r).
r*(r + 6)
Factor -2*j**3 + 2*j**4 - j**5 - 13*j**2 + 4*j**2 + 16*j**2 + 3*j**5 - 9*j**2.
2*j**2*(j - 1)*(j + 1)**2
Let c = -2/6514407 - -909846337/2690450091. Let a = c - 2/413. Let 7/3*n**3 + 1/6*n**5 + n**4 + 8/3*n**2 + 3/2*n + a = 0. What is n?
-2, -1
Suppose 10 = -51*w + 214. What is c in -2*c**3 + 0*c - 2/3*c**w + 0 - 4/3*c**2 = 0?
-2, -1, 0
Let n be -13 - 1534/(-104) - 2/8. Let i(y) be the second derivative of -1/4*y**4 + 0*y**2 + 0 - n*y**3 + 20*y. Factor i(q).
-3*q*(q + 3)
Let d(c) be the third derivative of c**7/6300 - c**6/1800 + 13*c**4/6 + 5*c**2 + 5. Let j(b) be the second derivative of d(b). Factor j(q).
2*q*(q - 1)/5
Suppose 6 - 22 = -x. Suppose 2 = 6*d - x. Factor -73 - 2*b**2 + 5*b**d - 21*b + 28 - 33*b**2 + 96*b.
5*(b - 3)**2*(b - 1)
Suppose -12/11*c**3 - 18/11*c**2 - 8/11*c - 2/11*c**4 + 0 = 0. What is c?
-4, -1, 0
Let j be 8/(-1224)*9 - (-300)/476. Solve j + 6/7*m - 10/7*m**2 = 0 for m.
-2/5, 1
Factor -199*t + 76*t**2 + 367*t + 56*t**3 - 60*t**3.
-4*t*(t - 21)*(t + 2)
Let b = 4348/1045 + -188/95. Factor -2/11*v**2 - 26/11*v - b.
-2*(v + 1)*(v + 12)/11
Let s(d) be the second derivative of -5*d**4/12 + 115*d**3/6 + 195*d**2 - 5446*d. Find u, given that s(u) = 0.
-3, 26
Suppose -11*r - 26*r + 74 = 0. Factor -28*m**2 - 8023 + 13*m**2 - 270*m + 12*m**r + 1948.
-3*(m + 45)**2
Let w(c) be the second derivative of 0 - 1/5*c**6 - 1/3*c**4 + 0*c**3 - 99*c + 9/20*c**5 + 1/42*c**7 + 0*c**2. Factor w(x).
x**2*(x - 4)*(x - 1)**2
Let d be 6/(-8) - (-407)/4. Find b, given that 18 - 106*b**2 + d*b**2 + 14*b - 48 + 11*b = 0.
2, 3
Let k(d) = -d**2 + 14*d - 18. Let y be k(0). Let m be y/(-2) - 1800/250. Factor 0 - 3/5*a**3 - m*a**2 - 6/5*a.
-3*a*(a + 1)*(a + 2)/5
Suppose -2*r + y = -3*y - 16, 5*r - 22 = 4*y. Factor 105*g**r + 62*g**3 + 10*g**4 + 22*g**2 - 11*g**3 - 6*g**4 - 231*g + 49.
(g - 1)*(g + 7)**2*(4*g - 1)
Let n(w) = 34*w**2 - 20*w - 396. Let o(a) = 3*a**2 + 3*a - 1. Let g(m) = -n(m) + 12*o(m). Factor g(h).
2*(h + 12)*(h + 16)
Let b be (-1188)/(-42) + 4/(-56)*4. Let c be (-3)/((-63)/b) + 0. Determine o, given that 175/6*o**4 + 125/6*o**5 + 5*o**3 - 14/3*o**2 + 0 - c*o = 0.
-1, -2/5, 0, 2/5
Let r(p) be the third derivative of -p**5/240 + 179*p**4/16 - 96123*p**3/8 + 981*p**2. Factor r(m).
-(m - 537)**2/4
Let l = -1226 + 1228. Let c(x) be the first derivative of -1/15*x**3 - 3/10*x**l + 21 - 2/5*x. Factor c(s).
-(s + 1)*(s + 2)/5
Let b = 2454823/314 + -849/157. Determine p so that b + 1/2*p**3 + 1875/2*p + 75/2*p**2 = 0.
-25
Let r(i) = 2505*i**2 + 10007*i - 48. Let p be r(-4). Factor -1/3*f**2 - 11/3 - p*f.
-(f + 1)*(f + 11)/3
Let j(k) = 64*k**2 + 50201*k + 14011209. Let z(c) = -7*c**2 - 5578*c - 1556802. Let a(i) = -2*j(i) - 19*z(i). What is l in a(l) = 0?
-558
Let l(h) be the first derivative of 5*h**4/4 - 835*h**3/3 + 17220*h**2 + 35280*h + 478. Factor l(k).
5*(k - 84)**2*(k + 1)
Let v(f) = 2*f**2 - 5*f. Let y(c) = -c**3 + 4*c**2 + 104*c + 588. Let o(u) = 3*v(u) - y(u). Factor o(z).
(z - 12)*(z + 7)**2
Let i(p) be the first derivative of -p**6/21 - 48*p**5/35 - 39*p**4/14 + 232*p**3/21 + 132*p**2/7 - 3647. Let i(v) = 0. What is v?
-22, -3, -1, 0, 2
What is x in -34*x**2 - 6*x**2 + 3*x**2 - 2*x - x**2 - 64 - 3*x**3 - 118*x = 0?
-8, -4, -2/3
Suppose 704/5*u + 10*u**5 + 448/5*u**2 - 952/5*u**3 + 32 - 82*u**4 = 0. What is u?
-2, -2/5, 1, 10
Let j(l) be the third derivative of -l**6/240 - 17*l**5/120 - 3*l**4/2 - l**2 - 89. Factor j(w).
-w*(w + 8)*(w + 9)/2
Let i be ((-6)/51)/(((-6)/(-8072))/3). Let l = 476 + i. Factor l*t - 2/17*t**2 - 50/17.
-2*(t - 5)**2/17
Let u(i) be the third derivative of i**9/756 + i**8/420 - 2*i**7/105 - 2*i**6/45 - 29*i**3 - 121*i**2. Let d(y) be the first derivative of u(y). Factor d(m).
4*m**2*(m - 2)*(m + 1)*(m + 2)
Let f(n) be the first derivative of -3*n**5/5 - 117*n**4/4 + 526*n**3 - 1854*n**2 - 5400*n - 9277. Let f(m) = 0. Calculate m.
-50, -1, 6
Let w(u) be the second derivative of u**5/30 + 7*u**4/18 - u**3/9 - 7*u**2/3 + 1246*u. Factor w(o).
2*(o - 1)*(o + 1)*(o + 7)/3
Let t(x) = -