t n(k) = 0. What is k?
-4, 1
Let t(s) = -s**3 + 4*s**2 + s + 4. Let w be t(3). Let g be 24/w*30/9. Factor 64 + 57*n + 711*n + 3550*n**2 + 2916*n**g + 432*n**3 - 926*n**2 - 6804*n**4.
4*(n - 2)*(n - 1)*(9*n + 2)**3
Let d(y) = y**2 - 16*y - 1. Let j(c) = 12*c**2 + 12*c - 544. Let r(i) = 10*d(i) - j(i). Factor r(v).
-2*(v - 3)*(v + 89)
Find y, given that 0 - 72*y + 66/7*y**2 + 3/7*y**3 = 0.
-28, 0, 6
Let b(d) be the first derivative of 2*d**3/57 + 108*d**2/19 + 424*d/19 + 1679. What is q in b(q) = 0?
-106, -2
Let z(l) be the third derivative of -121*l**6/200 + 1199*l**5/100 - 57*l**4 - 360*l**3 - 1383*l**2. Factor z(w).
-3*(w + 1)*(11*w - 60)**2/5
Let f(k) be the second derivative of k**8/840 - k**7/105 - 7*k**3/6 - 9*k**2/2 - 140*k. Let u(c) be the second derivative of f(c). Suppose u(g) = 0. What is g?
0, 4
Let s(d) = -6 - 10402*d**2 + 10404*d**2 + d**3 - 2 - 11*d. Let x(m) = 3*m**3 - m - m**2 - 2*m**3 + 2*m + 1. Let k(l) = s(l) + 2*x(l). Factor k(q).
3*(q - 2)*(q + 1)**2
Let j(l) = -5*l + 4*l + 0*l + 0*l. Let y(f) = -4*f**4 - 8*f**3 - 4*f**2 - 20*f. Let t(u) = -20*j(u) + y(u). Factor t(s).
-4*s**2*(s + 1)**2
Let l be -20 - -1 - (-68 + 64). Let q be (-12)/4*20/l. What is f in 96/7 - 3/7*f**3 + 18/7*f**q - 114/7*f**2 + 3/7*f**5 + 0*f = 0?
-4, -1, 1, 2
Let u be 0*((-10)/(-6) - (-12)/(-18)). Let t be (20/(-15))/(-12 - u). Factor -1/3 + 2/9*c + t*c**2.
(c - 1)*(c + 3)/9
Let c = -121 + -44. Let v be (c/18 + 10)*3/5. What is i in -v*i - 1/4*i**2 - 1/4 = 0?
-1
Let 552 + 9697*l**2 - 1655*l - 1117*l - 1035*l**3 - 6463*l**2 + 21*l**4 = 0. Calculate l.
2/7, 1, 2, 46
Let v = 526 - 511. Let a be (50/v + -4)/(40/(-15)). Suppose -a*j - 5/4*j**2 - j**4 - 2*j**3 + 0 = 0. What is j?
-1, -1/2, 0
What is a in 149/4*a**4 + 0 + 145*a**2 + 4*a - 148*a**3 = 0?
-4/149, 0, 2
Let y be 2/17 + (-42)/357 + 1 + -1. Let d(x) be the second derivative of y - x**3 - 1/4*x**4 - 21*x - 3/2*x**2. Let d(v) = 0. What is v?
-1
Let s(v) = 19*v**3 + 9*v**2 - 204*v - 173. Let b(t) = 6*t**3 + 2*t**2 - 68*t - 58. Let j(i) = -7*b(i) + 2*s(i). Solve j(m) = 0 for m.
-3, -1, 5
Let v be 2 - (-16 + 0)/(-4) - (-264)/96. Factor 3/4*w**2 - v - 1/4*w**3 + 1/4*w.
-(w - 3)*(w - 1)*(w + 1)/4
Let r be 78/9*(-8)/((-728)/21). Solve 45/4 + 12*i**r - 183/8*i - 3/8*i**3 = 0 for i.
1, 30
Let l(j) be the second derivative of j**7/63 + 22*j**6/15 + 253*j**5/6 + 950*j**4/3 + 500*j**3 + 209*j + 2. Suppose l(o) = 0. Calculate o.
-30, -5, -1, 0
Let -1/5*v**2 - 1572516/5 - 2508/5*v = 0. What is v?
-1254
Suppose 9*o**2 - 39/2*o**3 + 12*o**4 - 3/2*o**5 + 0*o + 0 = 0. What is o?
0, 1, 6
Let l(n) = 2*n**3 + 61*n**2 - 68*n + 898. Let a be l(-32). Factor 120/7*s - 3*s**a - 100/7 + 1/7*s**3.
(s - 10)**2*(s - 1)/7
Let t(h) = -2*h**2 - 46*h + 220. Let y(b) = -b**2 - 1. Let g(v) = -t(v) + 4*y(v). Suppose g(o) = 0. Calculate o.
7, 16
Let p = -62 + 84. Suppose -30*q + p + 68 = 0. Solve -2/15*d + 4/15*d**2 - 2/15*d**q + 0 = 0.
0, 1
Let j(i) be the first derivative of -3*i**5/5 + 6*i**4 - 13*i**3 + 9*i**2 + 3469. Factor j(z).
-3*z*(z - 6)*(z - 1)**2
Let s(t) be the third derivative of -1/120*t**5 + 7/3*t**3 - 193*t**2 + 0*t + 9/16*t**4 + 0. Suppose s(i) = 0. What is i?
-1, 28
Let x(h) be the second derivative of -3*h**5/20 + 10*h**4 + 86*h**3 + 264*h**2 + 2*h + 162. Factor x(i).
-3*(i - 44)*(i + 2)**2
Let j(u) be the first derivative of u**5/5 - 7*u**4 + 196*u**3/3 - 4028. Factor j(i).
i**2*(i - 14)**2
Let n(a) be the second derivative of 98*a**3 + 0 - 69*a + 0*a**2 + 56*a**4 + 1/10*a**6 + 87/20*a**5. Factor n(o).
3*o*(o + 1)*(o + 14)**2
Let n = -9/8377 + 804255/58639. Let 486*l**3 - 696/7*l + 432/7*l**2 + n = 0. What is l?
-4/7, 2/9
Let x = 952 - 1467. Let p = x + 518. Factor -5/2*k**4 + 0 + 0*k - 40*k**2 + 20*k**p.
-5*k**2*(k - 4)**2/2
Let z(d) be the first derivative of 3/20*d**5 + 35 - 3/4*d**3 + 3*d - 3/2*d**2 + 3/8*d**4. Factor z(c).
3*(c - 1)**2*(c + 2)**2/4
Suppose 2*j + 3 = c, c - 26 = -5*j + 12. Suppose -8*x = -c*x + 75. Factor -46*o + 5*o**2 + 8 + 19*o + x*o - o**2.
4*(o - 2)*(o - 1)
Let s(z) be the first derivative of z**5/5 - 3*z**4/2 - 2*z**3 - 3*z**2 - 6*z + 65. Let p(t) = t**3 + t**2 + t + 1. Let a(k) = 30*p(k) + 5*s(k). Factor a(w).
5*w**4
Let g(u) = -4*u**3 - 400*u**2 + 78*u + 7802. Let v be g(-100). Determine k so that 8/9*k**v - 8/9 - 2/9*k + 2/9*k**3 = 0.
-4, -1, 1
Suppose 5694 = 4815*m - 3866*m. Factor 0 + 2/3*s**2 - m*s.
2*s*(s - 9)/3
Let u be (-9)/33 + (-1140)/(-792) - 7*(-10)/210. Suppose -3*z**2 + 9/2*z + 0 - u*z**3 = 0. Calculate z.
-3, 0, 1
Let j(y) be the first derivative of -7*y**5/40 - 3*y**4/2 - 5*y**3 - 2*y**2 + 12*y - 87. Let p(z) be the second derivative of j(z). Let p(x) = 0. Calculate x.
-2, -10/7
Let d(o) = o**2 - 49*o - 957. Let w be d(-15). Let p(k) be the first derivative of -9/2*k**2 - 6 + 0*k**5 + 3*k**4 + 2*k**w - 6*k - 1/2*k**6. Factor p(l).
-3*(l - 2)*(l - 1)*(l + 1)**3
Let c(r) be the first derivative of 4/3*r - 8/3*r**2 - 7/15*r**5 + 1/3*r**3 + 4/3*r**4 + 75. Determine m, given that c(m) = 0.
-1, 2/7, 1, 2
Let j(m) = -m**2 + 15*m + 1. Let q(f) = 5*f**2 - 795*f + 2650. Let o(n) = -10*j(n) - q(n). Factor o(c).
5*(c - 4)*(c + 133)
Let n(d) = -19*d - 98. Let v be n(14). Let w = v - -364. Factor 1/7*j**3 + 0*j + w + 3/7*j**2.
j**2*(j + 3)/7
Let c(j) = -j**3 + 34*j + 15. Let x be c(6). Let b(v) be the first derivative of 0*v + 1/15*v**x + 0*v**2 - 12. Solve b(n) = 0 for n.
0
Let a(u) = -2*u + 5. Let o(c) = -c**2 - 526*c - 73481. Let q(p) = 24*a(p) + 3*o(p). Suppose q(z) = 0. Calculate z.
-271
Let m(s) be the first derivative of 130*s + 135/2*s**2 + 5/3*s**3 - 54. Find l, given that m(l) = 0.
-26, -1
Let u(y) be the second derivative of 1/10*y**4 + 0 + 0*y**2 - 172*y + 0*y**3 + 7/50*y**5 + 1/105*y**7 + 1/15*y**6. Factor u(i).
2*i**2*(i + 1)**2*(i + 3)/5
Let u(l) be the third derivative of 3/4*l**5 - 17/120*l**6 - 2*l + 0 + 1/210*l**7 + 181*l**2 - 43/24*l**4 + 7/3*l**3. Suppose u(d) = 0. Calculate d.
1, 14
Let v = 22716 + -68144/3. Find m, given that v*m - 5/3 + 1/3*m**2 = 0.
-5, 1
Let f be (14/(-588)*12)/(-1*(-3)/(-252)). Let v(b) be the first derivative of 0*b + f + 3/35*b**5 - 1/7*b**3 + 3/7*b**4 - 6/7*b**2. What is x in v(x) = 0?
-4, -1, 0, 1
Solve 7176*f + 109*f**4 + 347*f**3 - 529*f**3 - 62*f**5 - 24336 + 13823*f**2 + 3409*f**3 + 63*f**5 = 0 for f.
-52, -3, 1
Let k(z) = 7*z**3 - 462*z**2 - 78*z + 6. Let j(s) = -8*s**3 + 464*s**2 + 91*s - 7. Let l(m) = -6*j(m) - 7*k(m). Factor l(b).
-b**2*(b - 450)
Let f(u) be the first derivative of 5*u**6/24 + 43*u**5/20 - 17*u**4/4 + 5*u**3/3 + 426. Let f(w) = 0. Calculate w.
-10, 0, 2/5, 1
Let s be 1*(-2 - -17) - (-12)/4. Let x = 40 - s. Factor -23 - 44*z**2 - x + 53 + 20*z + 16*z**3.
4*(z - 2)*(z - 1)*(4*z + 1)
Let i(u) = u**2 - 7*u + 30. Let f be i(20). Let d be f/150 + 18/(-30). Factor -2/9*h**3 - d*h**2 - 16/9 - 8/3*h.
-2*(h + 2)**3/9
Let x = 234 + -234. Suppose x = 16*u - 11*u - 20. Factor -1/4*w**u - 1/4*w**2 + 3/2*w**3 - 6*w - 4.
-(w - 4)**2*(w + 1)**2/4
Let s = -257998/15 - -17200. Let a(p) be the second derivative of -p**4 + 2/3*p**3 - 27*p + 0 + 4*p**2 - 1/5*p**5 + s*p**6. Solve a(r) = 0 for r.
-1, 1, 2
Suppose -m + 13 - 9 = 2*n, m + 2 = 0. Let x be n + 12/4 + 280/(-50). Factor 2/5*w**3 + x - 2/5*w**2 - 2/5*w.
2*(w - 1)**2*(w + 1)/5
Factor 338 - 2*t**3 + 445 - 147 - 3*t - 636*t**2 - 2*t**3 + 7*t.
-4*(t - 1)*(t + 1)*(t + 159)
Suppose 17555*x = 16724*x + 1662. Factor 3/2*p**x - 4/3*p + 0 - 3/2*p**4 + 1/6*p**5 + 7/6*p**3.
p*(p - 8)*(p - 1)**2*(p + 1)/6
Let l(a) = 3*a**3 - 17*a**2 + 5*a - 179. Let j(v) = v**3 - 8*v**2 + 2*v - 89. Let d(s) = 5*j(s) - 2*l(s). Let t(h) be the first derivative of d(h). Factor t(m).
-3*m*(m + 4)
Let k(f) be the first derivative of -4*f**4 + 21*f**3 - 30*f**2 - 4*f + 579. Factor k(g).
-(g - 2)**2*(16*g + 1)
Solve 26 + 664/3*d + 17/6*d**2 = 0 for d.
-78, -2/17
Let j(k) be the first derivative of -172/5*k**5 + 0*k - 22/3*k**6 - 164/3*k**3 - 140 - 63*k**4 - 20*k**2. Determine d so that j(d) = 0.
-1, -10/11, 0
Suppose 5*l + 13*k - 10 = 15*k, 2*k + 10 = -2*l. Let i(d) be the third derivative of l*d + 23*d**2 + 0 - 7/100*d**5 + 0*d**3 + 1/20*d**4. Factor i(q).
-3*q*(7*q - 2)/5
Let i(q) be the third derivative of -q**6/60 + 13*q**5/10 + 14*q**4 + 172*q**3/3 + 11*q**2 + 51*q. Factor i(m).
-2*(m - 43)*(m + 2)**2
Let f(