0*n**3 + 19*n**2 + 161*n + 65. Let r(s) = o*b(s) - 17*h(s). Factor r(j).
-4*(j - 2)*(j + 1)*(5*j + 2)
Let r(c) be the first derivative of 14*c - 1/170*c**5 + 0*c**2 - 5 + 0*c**3 + 1/51*c**4. Let z(h) be the first derivative of r(h). Solve z(l) = 0 for l.
0, 2
Let a = 222569 - 222519. Factor 250/3 - a*t - 2/3*t**3 + 10*t**2.
-2*(t - 5)**3/3
Let y = -101/9 - -283/18. Let d(k) be the second derivative of -y*k**2 + 18*k + 0 + 1/4*k**4 - k**3. Factor d(w).
3*(w - 3)*(w + 1)
Let w(n) be the third derivative of 1/48*n**4 + 1/840*n**7 + 22*n**2 - 1/240*n**6 + 1/8*n**3 + 0*n + 0 - 1/60*n**5. Let w(a) = 0. Calculate a.
-1, 1, 3
Let p(o) be the third derivative of o**5/90 - 67*o**4/6 + 133*o**3 - 388*o**2. Factor p(l).
2*(l - 399)*(l - 3)/3
Let d(q) be the second derivative of -q**5/30 + q**4/6 + q**3 - 36*q**2 - q - 42. Let w(f) be the first derivative of d(f). Suppose w(v) = 0. Calculate v.
-1, 3
Suppose y + 3*p = 12, -4*y + 301*p = 306*p - 76. Factor 75/2*l**2 - 9/2*l**3 - 84*l + y.
-3*(l - 4)**2*(3*l - 1)/2
Let l(w) = w**2 - 3*w + 2. Let j be l(5). Let v be 126/45 + j/(-15). Suppose -26*d + 22*d + 2*d**v + 0*d**2 + 2*d**3 = 0. What is d?
-2, 0, 1
Suppose 57*v + 784 = v. Let l be (3/(-2) + 1)*v/14. Factor 0 - 1/2*r**2 - l*r**3 + 0*r.
-r**2*(r + 1)/2
Let w(j) be the third derivative of 19/72*j**4 - 1/360*j**5 - 361/36*j**3 - 119*j**2 + 0*j + 0. Factor w(m).
-(m - 19)**2/6
What is q in -22898/3 - 1712/3*q - 32/3*q**2 = 0?
-107/4
Let s = -2918/7 + 14632/35. Factor -16/5*h + s*h**2 + 8/5.
2*(h - 2)*(3*h - 2)/5
Let t(y) be the first derivative of y**3/3 + 23*y**2 + 168*y - 190. Factor t(q).
(q + 4)*(q + 42)
Let t(o) = o**3 + 5*o**2 + 5*o + 6. Let v be t(-2). Suppose -25*g**4 + v*g**3 + 15*g**4 + 21*g**2 + 11*g**4 + 22*g + 0*g + 8 = 0. Calculate g.
-4, -2, -1
Let w(y) = 258*y**2 + 270*y - 532. Let c(x) = -2*x**3 + x**2 + x + 2. Let f(d) = -2*c(d) - w(d). Factor f(a).
4*(a - 66)*(a - 1)*(a + 2)
Suppose -5 - 17 = -s - 5*f, -s + 4*f = 14. Solve -18*q**s - 7*q**2 - 165*q**3 + 5*q + 80*q**3 + 25 + 80*q**3 = 0 for q.
-5, -1, 1
Let g = -1/354249 + 472333/354249. Factor -9 - 12*z - 2*z**2 + g*z**3 + 1/3*z**4.
(z - 3)*(z + 1)*(z + 3)**2/3
Let j(p) be the third derivative of p**5/750 + 173*p**4/300 + 172*p**3/75 + 25*p**2 + 3*p + 2. Factor j(l).
2*(l + 1)*(l + 172)/25
Let p(h) be the third derivative of -h**6/240 + 9*h**5/20 - 13*h**4/6 - 4*h**2 + 112. Factor p(m).
-m*(m - 52)*(m - 2)/2
Let q(v) be the first derivative of -v**4/33 + 13*v**3/33 + 7*v**2/11 - 59*v + 36. Let h(c) be the first derivative of q(c). Factor h(n).
-2*(n - 7)*(2*n + 1)/11
Let k = -846 + 835. Let c be 98/18 - (90/(-9) - k). Find s, given that -1/9*s + 1/9 - 14/9*s**2 + c*s**4 + 32/9*s**5 - 4/9*s**3 = 0.
-1, -1/2, 1/4, 1/2
Solve 0*h + 2/3*h**5 - 8/3*h**4 - 10*h**3 + 12*h**2 + 0 = 0.
-3, 0, 1, 6
Let b(x) be the third derivative of x**7/840 - 17*x**6/480 + 41*x**5/240 + 17*x**4/96 - 7*x**3/4 + x**2 + 2124*x + 1. Suppose b(w) = 0. What is w?
-1, 1, 3, 14
Let d be ((-95)/50 - -2) + (-23388)/(-12920). Let f = 43/19 - d. Factor -2/17*g**2 + f*g - 4/17.
-2*(g - 2)*(g - 1)/17
Let f = 115 + -79. Let a be 35/f + (-21)/28. Factor -8/9 + 10/9*h - a*h**2.
-2*(h - 4)*(h - 1)/9
Let v be (-2*1/6)/(2488/(-14928)). Factor -v*g**4 + 15/2*g**3 + 0 - 2*g - 6*g**2.
-g*(g - 2)**2*(4*g + 1)/2
Let 2*h**3 + 0 + 374/5*h**2 + 148/5*h = 0. What is h?
-37, -2/5, 0
Let z = 28688 - 86063/3. Factor z*r**3 - 19/3*r - 8/3*r**2 - 10/3.
(r - 10)*(r + 1)**2/3
Let d be (52751/102)/(-29) - -18. Let o(l) be the first derivative of 21 - 2*l**2 + d*l**3 + 7/2*l. Factor o(a).
(a - 7)*(a - 1)/2
Let o(x) be the first derivative of 5*x**3/18 - 215*x**2/2 + 1285*x/6 + 7923. Factor o(z).
5*(z - 257)*(z - 1)/6
Find s such that 11 - 12*s**2 - 27*s + 11*s**2 + 17*s = 0.
-11, 1
Suppose -4/7*j**4 + 1008*j + 0 - 960*j**2 - 332/7*j**3 = 0. Calculate j.
-42, 0, 1
Let h(x) be the second derivative of -2*x + 1/72*x**6 + 0 - 1/3*x**5 + 10/3*x**4 + 0*x**2 + 1/6*x**3. Let t(i) be the second derivative of h(i). Solve t(n) = 0.
4
Let v = 12017 + -336473/28. Let y(m) be the first derivative of v*m**4 - 1/7*m**3 + 0*m**2 + 0*m - 21. Solve y(j) = 0 for j.
0, 1
Let l be (-2)/(8/(-1)) + (-556)/(-144). Let f = 416/99 - l. Determine t so that f*t + 0 + 4/11*t**3 - 5/11*t**2 = 0.
0, 1/4, 1
Let i = -4104 + 4109. Factor 10/3*t**2 + i*t**3 + 0*t**4 - 5/3*t**5 + 0 + 0*t.
-5*t**2*(t - 2)*(t + 1)**2/3
Let j(p) be the first derivative of p**4/36 + p**3/6 - 5*p**2/3 - 103*p - 187. Let n(t) be the first derivative of j(t). Solve n(z) = 0.
-5, 2
Let d = 7109/11840 - 1/2368. Let g(x) be the second derivative of -12/5*x**2 + 0 - 1/20*x**4 - 7*x + d*x**3. Find b, given that g(b) = 0.
2, 4
Let l(a) be the first derivative of -a**4/30 + 88*a**3/45 + 47*a**2/5 - 4900. Determine o, given that l(o) = 0.
-3, 0, 47
Let p(c) = 118*c + 1 - 23 + 22*c + 100*c**2. Let u(y) = 20*y**2 + 28*y - 4. Let k(w) = -2*p(w) + 11*u(w). What is b in k(b) = 0?
-7/5, 0
Factor -49/4*c + 1/4*c**2 + 82.
(c - 41)*(c - 8)/4
Let p(r) be the third derivative of -r**6/120 + r**5 + 61*r**4/24 - 1815*r**2. Factor p(u).
-u*(u - 61)*(u + 1)
Let i(c) = -16*c**3 - 1123*c**2 - 30782*c + 48735. Let t(w) = 355*w**3 + 24705*w**2 + 677205*w - 1072170. Let v(u) = 45*i(u) + 2*t(u). Factor v(m).
-5*(m + 57)**2*(2*m - 3)
Factor -48*m**2 + 0 + 1440*m + 2/5*m**3.
2*m*(m - 60)**2/5
Let b(i) be the second derivative of -1/30*i**6 + 0*i**2 + 37*i - 2*i**3 + 1/20*i**5 + 2/3*i**4 + 0. Factor b(m).
-m*(m - 2)**2*(m + 3)
Suppose 2/11*p**4 - 690/11*p**2 - 14/11*p**3 + 3888/11 - 3186/11*p = 0. Calculate p.
-9, 1, 24
Let h = 735456/13 - 56248. Suppose -184/13*x + h + 2/13*x**2 = 0. What is x?
46
Determine b, given that 2/11*b**2 + 6617522/11 + 7276/11*b = 0.
-1819
Let t(j) be the second derivative of -j**5/10 - 19*j**4/6 - 83*j**3/3 - 65*j**2 - 1352*j. Factor t(k).
-2*(k + 1)*(k + 5)*(k + 13)
Let s(q) = -q - 2. Let f be (63/28)/(12/(-32)). Let x(p) = -p**3 + 3*p**2 + 3*p + 6. Let u(o) = f*s(o) - 2*x(o). Factor u(i).
2*i**2*(i - 3)
Let o = -6723 + 33619/5. Let h(b) be the first derivative of -18*b - o*b**5 + 93/2*b**2 + 33/4*b**4 - 16 - 92/3*b**3. What is n in h(n) = 0?
1/4, 2, 3
Factor 3/5*k**2 - 69/5*k + 126/5.
3*(k - 21)*(k - 2)/5
Let a(l) be the second derivative of l**7/10080 - 5*l**6/96 + 375*l**5/32 + 9*l**4/2 - l**3/3 + 42*l + 2. Let d(u) be the third derivative of a(u). Factor d(p).
(p - 75)**2/4
Let d(c) = -c**3 + 30*c**2 + 31*c + 2. Let f(w) = 31*w**2. Let b be f(1). Let i be d(b). Factor 0 + 1/4*k**4 - 1/2*k**i + 0*k - 1/4*k**3.
k**2*(k - 2)*(k + 1)/4
Let a = 215 - 167. Determine v so that 16 + a*v**3 - 14 - 46*v**3 + 6*v + 6*v**2 = 0.
-1
Let d(s) be the second derivative of -17*s**7/28 + 8*s**6/5 + 3*s**5/10 + 53*s. Solve d(a) = 0.
-2/17, 0, 2
Find r such that 606/7 + 3/7*r**2 + 87*r = 0.
-202, -1
Let l(v) be the second derivative of 7*v**6/6 - 809*v**5/4 + 6275*v**4/12 - 185*v**3/2 - 855*v**2 + 2679*v + 1. Find m such that l(m) = 0.
-3/7, 1, 114
Let s(l) = 3*l**3 - 6*l**2 - 8*l + 4. Suppose 4*t - 11*t = 21. Let g(u) = -u**2 - 1. Let d(r) = t*s(r) - 12*g(r). Factor d(k).
-3*k*(k - 4)*(3*k + 2)
Let a be ((-38)/1710)/((-38)/285). Factor -3/2*g**2 - 5/2*g - 7/6 - a*g**3.
-(g + 1)**2*(g + 7)/6
Factor 1587/4*a - 69/4*a**2 + 1/4*a**3 - 12167/4.
(a - 23)**3/4
Let r = 1056 - 1042. Let f be -5 + -1 + r*(-32)/(-56). Determine s, given that 0*s + 0 - 12/7*s**f - 3/7*s**3 = 0.
-4, 0
Factor -5/6*f + 0 + 2/3*f**2 + 1/6*f**3.
f*(f - 1)*(f + 5)/6
Suppose -3*l = -7*t + 63, t + 629 = 638. Let p(y) be the second derivative of -169/140*y**5 - 4/3*y**3 - 2/7*y**2 + l + 19*y - 221/84*y**4. Solve p(g) = 0.
-1, -2/13
Let r(t) be the third derivative of 3/2*t**3 + 0*t - t**4 + 0 + 4/15*t**5 + 57*t**2. Factor r(g).
(4*g - 3)**2
Let o = -206828/105 + 13649/7. Let l = 67/3 + o. Factor -l - 21/5*m**3 - 69/5*m**2 - 12*m.
-3*(m + 1)*(m + 2)*(7*m + 2)/5
Let x(l) = -2*l + 19. Let y be x(7). Suppose 4*s - y*q = 347, 0*q = 4*s + 4*q - 392. Find w, given that -s*w**4 + 95*w**4 + w**3 + 4*w**3 + 2*w**2 = 0.
-2, -1/2, 0
Solve 18*u**2 - 8*u**2 + 227*u**4 - 51*u**4 - 100*u**3 - 2*u**2 - 84*u**5 = 0 for u.
0, 2/21, 1
Let q be ((-15)/1890*-7)/((-4)/(-18)). Let h(c) be the second derivative of q*c**6 + 0 + 9*c + 3/2*c**2 - 51/40*c**5 + 21/8*c**4 - 11/4*c**3. Factor