117*j**2 + 6*j + 161. Let w(r) = 6*c(r) + 11*p(r). Determine g, given that w(g) = 0.
-25, -1, 1
Let d(p) = -12*p**2 - 46*p + 9. Let u be d(-4). Let q be ((-320)/55 - -6)*u. What is m in q*m**2 + 0 + 6/11*m = 0?
-3, 0
Suppose -121 = 7*r - 149. Suppose -2*m**3 - 2*m**4 - 5*m**2 + r + 3*m**4 - 3*m**3 + m**5 + 4*m = 0. What is m?
-2, -1, 1, 2
Determine z, given that 422/7*z**4 - 2/7*z**5 + 3150*z**2 + 0*z - 3210*z**3 + 0 = 0.
0, 1, 105
Let u(f) be the third derivative of f**7/630 - 8*f**6/45 + 376*f**5/45 - 640*f**4/3 + 3200*f**3 + 925*f**2 + 2. Suppose u(w) = 0. What is w?
12, 20
Let 13660*k**3 - 1805*k**5 + 55*k + 1468*k**2 + 105*k - 3990*k**4 + 1383*k**2 + 149*k**2 = 0. Calculate k.
-4, -2/19, 0, 2
Let f(q) be the third derivative of -81/2*q**4 - 2*q + 0 + 63/10*q**5 - 19/40*q**6 + 68*q**2 + 108*q**3 + 1/70*q**7. Factor f(z).
3*(z - 6)**3*(z - 1)
Solve 2904*c + 75/2*c**5 + 0 - 585*c**4 + 3243/2*c**3 + 5148*c**2 = 0 for c.
-1, 0, 44/5
Let v be -3*(16 - 1127/69)*0. Suppose 51/7*t**2 + 18/7*t - 25/7*t**4 + 20/7*t**3 + v = 0. What is t?
-3/5, 0, 2
Let s(u) = -u**2 - 10*u - 14. Let b be s(-11). Let t = b - -31. Factor 8*i**2 + t*i**2 - 10*i**2 + 4*i - 24.
4*(i - 2)*(i + 3)
Let f(z) be the second derivative of 0*z**3 - 8/25*z**5 + 151*z - 4/3*z**4 + 0 + 2/75*z**6 + 0*z**2. Solve f(j) = 0.
-2, 0, 10
Suppose -36 - 2*t + 21/2*t**3 + 27*t**2 + 1/2*t**4 = 0. What is t?
-18, -2, 1
Let h(p) be the second derivative of 25/14*p**2 + 1/140*p**5 + 4*p + 5/6*p**3 + 7 + 11/84*p**4. Find r such that h(r) = 0.
-5, -1
Let s(p) be the third derivative of -p**6/240 - 47*p**5/120 + 25*p**4/6 - 17*p**3 - 136*p**2 + 2*p + 4. Determine j so that s(j) = 0.
-51, 2
Factor 423/8 + 19/4*r - 1/8*r**2.
-(r - 47)*(r + 9)/8
Factor -68*w - 2811*w**2 - 64*w**3 - 3 + 14*w**4 + 2913*w**2 + 19.
2*(w - 2)*(w - 1)**2*(7*w - 4)
Let n = -5562 + 5565. Let i(x) be the first derivative of -1/16*x**4 - 1/10*x**5 - 1/4*x + 1/4*x**n + 7 + 1/8*x**2. Solve i(d) = 0 for d.
-1, 1/2, 1
Let x(t) = -4*t**2 + t - 2. Let m(g) = 8*g**2 + 37*g + 102. Let a be 3*((-9)/(-9))/1. Let s(u) = a*x(u) + m(u). Factor s(z).
-4*(z - 12)*(z + 2)
Suppose 41*n = 56*n - 15. Let y be (-954)/(-265) - (n + (-14)/10). Solve 18 - y*b + 2/9*b**2 = 0.
9
Let z(l) = -l**3 - 6*l**2 + 9*l + 22. Let i be z(-9). Solve -178*t + t**2 + i*t + 4 - 11 = 0 for t.
-7, 1
Let v(y) be the second derivative of y**5/240 - y**4/16 + 7*y**3/36 + y**2 - 632*y + 1. Suppose v(p) = 0. What is p?
-1, 4, 6
Let c(g) be the first derivative of -g**5/60 - g**4/12 + g**3/2 + 42*g**2 - 62. Let y(x) be the second derivative of c(x). Factor y(u).
-(u - 1)*(u + 3)
Let s(t) = 5*t**3 + 28*t**2 + t + 2. Let w(g) = g**3 + 7*g**2 + g. Let k(j) = -5*s(j) + 20*w(j). Factor k(h).
-5*(h - 1)**2*(h + 2)
Let j(h) be the second derivative of -h**4/120 + 77*h**3/60 + 39*h**2/10 + 856*h. Suppose j(l) = 0. Calculate l.
-1, 78
Let j(o) be the third derivative of -o**7/525 - 11*o**6/75 + 91*o**5/150 - 23*o**4/30 + 12315*o**2. Factor j(t).
-2*t*(t - 1)**2*(t + 46)/5
Let p(r) be the second derivative of -r**4/4 - r**3 + r**2 - 9*r - 3. Let k(d) = -19*d**2 - 37*d + 13. Let x(z) = 6*k(z) - 39*p(z). Let x(w) = 0. What is w?
-4, 0
Let o(a) be the third derivative of 20*a**2 - 1/72*a**4 + 1/360*a**5 + 0 + 0*a**3 + 1/720*a**6 + 0*a. Factor o(b).
b*(b - 1)*(b + 2)/6
Let l(g) be the third derivative of 0*g**3 + 0*g + 1/2352*g**8 + 82*g**2 - 2/735*g**7 + 0*g**5 + 0 + 0*g**4 + 1/210*g**6. Factor l(q).
q**3*(q - 2)**2/7
Let v(b) = -b**3 + 2. Let d be v(2). Let j(u) = u**2 + 5*u - 3. Let t be j(d). Let -35*i - 2 + 7*i**t + 33*i - 5*i**2 + 2 = 0. Calculate i.
-2/7, 0, 1
Let n(s) be the third derivative of 709*s**6/30 - 2129*s**5/15 + 712*s**4/3 - 8*s**3/3 - 5*s**2 - 313. Factor n(b).
4*(b - 2)*(b - 1)*(709*b - 2)
Suppose -233 + 23 = -5*k. Let s be ((-5)/3)/((245/k)/(-7)). Find n, given that 0 - 4/3*n + 14/3*n**s = 0.
0, 2/7
Suppose -1862 = -268*x - 157*x + 292*x. What is h in -x - 68/5*h + 2/5*h**2 = 0?
-1, 35
Let s(w) be the second derivative of 5*w**7/84 + 4*w**6 + 311*w**5/4 + 230*w**4 + 2645*w**3/12 + 403*w - 2. Factor s(y).
5*y*(y + 1)**2*(y + 23)**2/2
Let m = -158 - -237. Let s = m + -77. Let 3*a - 11*a**2 - 1 - 48*a**3 - s + 15*a**2 + 44*a**2 = 0. Calculate a.
-1/4, 1/4, 1
Let k(q) be the first derivative of -14961*q + 258*q**2 + 268 - 115 - q**3 - 111 - 7227*q. Factor k(p).
-3*(p - 86)**2
Let f(c) be the third derivative of c**7/1680 + 23*c**6/960 + 25*c**5/96 + 25*c**4/192 - 125*c**3/8 + 3008*c**2. Factor f(w).
(w - 2)*(w + 5)**2*(w + 15)/8
Factor -586/9*k - 2/9*k**3 - 292/9 - 296/9*k**2.
-2*(k + 1)**2*(k + 146)/9
Let q(b) be the second derivative of -3*b**5/28 - b**4/28 + 5*b**3/14 + 3*b**2/14 + 115*b - 44. Find r such that q(r) = 0.
-1, -1/5, 1
Suppose -23*q - 80 = -241. Let j be ((-55)/8 - 5 - -5) + q. Suppose 0*x**2 + 1/8*x**4 + 0*x + 0 - j*x**3 = 0. What is x?
0, 1
Let g be 4*4/10*(-50)/(-40). Factor 374 - 782 - 176*d - 4*d**g - 1528.
-4*(d + 22)**2
Let q(g) be the second derivative of g**4/6 + 1139*g**3/3 + 2714*g. Factor q(n).
2*n*(n + 1139)
Factor 4/9*k**2 - 2816/9 - 112/9*k.
4*(k - 44)*(k + 16)/9
Find j, given that 296/3*j - 2/3*j**2 - 1430/3 = 0.
5, 143
What is q in 464/5*q + 224/5*q**3 - 48 + 692/5*q**2 + 12/5*q**4 = 0?
-15, -2, 1/3
Let q(i) be the first derivative of 5/4*i**2 + 1/8*i**4 + i + 2/3*i**3 - 34. Factor q(k).
(k + 1)**2*(k + 2)/2
Let l(q) be the third derivative of -q**6/40 - 7*q**5/5 + 195*q**4/8 - 153*q**3 + 525*q**2. Factor l(g).
-3*(g - 3)**2*(g + 34)
Factor 4*g**3 - 21*g**4 + 80*g - 94*g**2 + 25*g**4 - 30*g**3 + 112*g**2 + 32.
2*(g - 4)**2*(g + 1)*(2*g + 1)
Let v(o) = -4*o**2 + 16*o - 13. Let p be v(3). Let d(a) = 49*a + 52. Let t be d(p). Solve 2/11*w**t + 4/11 + 10/11*w + 8/11*w**2 = 0 for w.
-2, -1
Let g(i) = 26*i**2 - 30*i - 10. Suppose 21*y = -7*y + 280. Let r(w) = -8*w**2 + 10*w + 3. Let t(k) = y*r(k) + 3*g(k). Determine u so that t(u) = 0.
0, 5
Let a(t) be the third derivative of t**7/70 - t**6/30 - 7*t**5/5 + 4225*t**2. Find n, given that a(n) = 0.
-14/3, 0, 6
Factor -2/7*a**2 + 90/7*a + 0.
-2*a*(a - 45)/7
Let p(w) = -7*w**2 - 67*w - 8. Let s(n) = -11*n - 11*n - 37*n - 7*n - 8 - 6*n**2 + 2. Let d(c) = 3*p(c) - 4*s(c). Solve d(o) = 0 for o.
-21, 0
Let k(x) = 5*x**5 - 15*x**4 - 10*x**3 + 69*x**2 - 31*x. Let c(m) = -5*m**5 + 15*m**4 + 10*m**3 - 72*m**2 + 28*m. Let y(f) = 3*c(f) + 4*k(f). Factor y(q).
5*q*(q - 2)**2*(q - 1)*(q + 2)
Let j(g) be the second derivative of -g**7/840 - g**6/90 - 21*g**3/2 - 2*g + 52. Let m(k) be the second derivative of j(k). Factor m(b).
-b**2*(b + 4)
Let m be 43/215 - (-1)/(10/58). Let n be (42/(-36))/((-14)/m). Factor 2 - n*r**2 + 3/2*r.
-(r - 4)*(r + 1)/2
Let w = 286 + -281. Let -m**w + 22*m**4 + 76*m**2 + 76*m**2 - 148*m + 980*m + 512 - 145*m**3 = 0. What is m?
-1, 8
Let x(z) = 3*z**2 + 3. Let u(n) = -4*n**2 + 684*n - 1382. Let p(m) = u(m) + 2*x(m). Factor p(r).
2*(r - 2)*(r + 344)
Let p(u) = -22 + 0 - 15*u**2 - 31*u + u**3 - 2*u + 10. Let m be p(17). Find t, given that 3/2*t**3 + 1/2*t**m + 0*t + 0 + 3/2*t**4 + 1/2*t**2 = 0.
-1, 0
Let o(l) be the second derivative of -l**4/12 - 296*l**3 + 1777*l**2/2 - 23*l + 9. Find r, given that o(r) = 0.
-1777, 1
Let k = -72189 - -72191. Let 20/3*a - 16/3 - 2*a**4 - 20/3*a**3 + 22/3*a**k = 0. Calculate a.
-4, -1, 2/3, 1
Suppose 12*s + 12 = 18*s. Suppose -4 + 6 + 2*n - 15*n**s + n + 16 = 0. What is n?
-1, 6/5
Let u(t) be the first derivative of -t**6/6 - 21*t**5/5 - 87*t**4/4 + 385*t**3/3 + 726*t**2 - 3075. Suppose u(n) = 0. What is n?
-11, -3, 0, 4
Let b(w) = 3*w**3 + 91*w**2 - 53*w + 281. Let h be b(-31). Factor 27/2*o**h + 24 + 3/2*o**3 + 36*o.
3*(o + 1)*(o + 4)**2/2
Let k(r) be the third derivative of -r**5/390 - 4*r**4/39 - r**3 - r**2 - 117. Factor k(t).
-2*(t + 3)*(t + 13)/13
Let o(z) be the third derivative of -z**6/480 + z**5/5 - 89*z**4/96 - 23*z**3/4 - z**2 - 75*z - 4. Factor o(v).
-(v - 46)*(v - 3)*(v + 1)/4
Let t = -63386 + 570658/9. Find p such that 56/9*p - 24*p**2 + t*p**4 + 32/9 - 14/3*p**5 - 14/9*p**3 = 0.
-1, -2/7, 2/3, 1, 4
Let j(s) be the second derivative of 107*s - 40*s**2 - 3/2*s**5 - 1/6*s**6 - 5/12*s**4 + 0 + 20*s**3. Solve j(n) = 0.
-4, 1
Let t = -1359 + 1414. Let j be ((-192)/t)/((-45)/150). What is p in -32/11*p + j + 2/11*p**2 = 0?
8
Let h(z) be the