
Let t = -5369 - -5369. Let y(k) be the second derivative of -12*k + 0 + t*k**2 - 1/6*k**4 - 2/3*k**3. Determine j so that y(j) = 0.
-2, 0
Let b = 421 - 417. Factor -37*g**5 + 3*g**2 - 73*g**4 + 44*g**5 - 7*g**3 + 70*g**b.
g**2*(g - 1)*(g + 1)*(7*g - 3)
Let k(x) be the third derivative of -16/3*x**3 + 2*x - 22*x**2 + 0 - 1/84*x**8 - 11/30*x**6 + 4/35*x**7 + 2/15*x**5 + 2*x**4. What is i in k(i) = 0?
-1, 1, 2
Let x = -5219235/8 + 652405. Let -x*p**3 + 0 + 0*p - 1/8*p**2 = 0. What is p?
-1/5, 0
Let u(j) be the first derivative of j**3 - 48*j**2 - 684*j - 6302. What is w in u(w) = 0?
-6, 38
Let l = -39887/12 - -3324. Let r(i) be the second derivative of 1/12*i**3 - 1/4*i**2 + 0 - 16*i + l*i**4. Determine j, given that r(j) = 0.
-1, 1/2
Let t be (-2 + 1)*2 - -6. Let x = 5 + -1. Factor -12*u**2 + 52 - 20 - x*u**3 - 20 + t*u.
-4*(u - 1)*(u + 1)*(u + 3)
Let r(q) be the third derivative of 1/840*q**8 + 0*q + 0*q**3 - q**2 - 2/525*q**7 + 1/75*q**5 + 16 - 1/60*q**4 + 0*q**6. Factor r(f).
2*f*(f - 1)**3*(f + 1)/5
Let i(z) be the first derivative of 16*z**5/5 - 26*z**4 - 71*z**3/3 + 48*z**2 + 63*z - 374. Factor i(f).
(f - 7)*(f - 1)*(4*f + 3)**2
Let l = -17/1876 + 30067/5628. Solve 0 + 10/3*t**4 + 8/3*t - 14/3*t**3 - l*t**2 = 0.
-1, 0, 2/5, 2
Solve 4*i - 19*i - 240 - 52*i + 12*i**2 + 4*i**3 - 2*i - 43*i = 0.
-6, -2, 5
Let k(y) be the third derivative of 29*y**5/300 + 59*y**4/120 + y**3 + 3*y**2 + 191. Solve k(r) = 0 for r.
-30/29, -1
Let t(f) be the second derivative of f**4/6 - 144*f**3 + 784*f. Factor t(b).
2*b*(b - 432)
Let z(u) be the third derivative of 0*u**5 - 1/140*u**7 - 2*u + 0 + 3/40*u**6 + 14*u**2 + 0*u**3 + 0*u**4. Determine y so that z(y) = 0.
0, 6
Let s(v) be the second derivative of -v**5/4 + 10*v**4 + 425*v**3/6 - 270*v**2 - 34*v - 7. What is n in s(n) = 0?
-4, 1, 27
Let x(s) = -573*s**3 + 0*s - s - 7 + 576*s**3 - 12*s**2. Let t(a) = 2*a**3 - 6*a**2 - 4. Suppose 7*j = 2*j + 20. Let g(f) = j*x(f) - 7*t(f). Factor g(l).
-2*l*(l + 1)*(l + 2)
Let v(k) be the first derivative of -2*k**3/21 + 19*k**2/7 - 176*k/7 + 3976. Factor v(t).
-2*(t - 11)*(t - 8)/7
Solve -2/3*s**2 + 0 - 412*s = 0.
-618, 0
Let s(g) be the first derivative of g**4 + 241*g**3/3 - 92*g**2 - 61*g + 2633. Suppose s(v) = 0. What is v?
-61, -1/4, 1
Let u(k) = 9*k**3 + 3*k**2 - 6*k + 5. Let o be u(2). Suppose 9*x - o = -32. Let -b**2 + b**4 - x*b**3 + 5*b + 5145 - 5149 + 4*b**2 = 0. What is b?
-1, 1, 4
Let r = -18031/3 + 6012. Let h(g) be the first derivative of -5/6*g**6 + 0*g**2 - 15/4*g**4 - 9 - r*g**3 - 3*g**5 + 0*g. Factor h(y).
-5*y**2*(y + 1)**3
Let o(y) be the first derivative of 16*y - 1/3*y**3 + 1/4*y**4 - 8*y**2 + 138. Let o(l) = 0. Calculate l.
-4, 1, 4
Let c be (761 + 5 + 55/(-10))*70. Suppose -2*z**3 + c - 11664*z - 5*z**3 + 324*z**2 + 4*z**3 + 86733 = 0. What is z?
36
Let k be 109*-1*(-6)/(-30). Let t = -277/15 - k. Let 8/3*v**2 + t*v + 2/3 = 0. Calculate v.
-1, -1/4
Let h(s) be the second derivative of 11/5*s**5 + 2*s + 5*s**4 - 20 + 6*s**3 + 2/5*s**6 + 4*s**2. Find w, given that h(w) = 0.
-1, -2/3
Factor 27*c**2 - 7 - 26*c**2 - 2*c**2 - 11*c + 19.
-(c - 1)*(c + 12)
Let d(f) be the first derivative of 3*f**2 - 5/2*f**3 - 15*f - 1 + f**4 - 3/20*f**5. Let l(y) be the first derivative of d(y). Factor l(o).
-3*(o - 2)*(o - 1)**2
Let k(t) = -15*t**3 + 825*t - 1927. Let r(m) = 8*m**3 - 4*m**2 - 412*m + 964. Let s(q) = -4*k(q) - 7*r(q). Let s(y) = 0. What is y?
-15, 4
Let q(t) be the third derivative of -t**5/30 - 25*t**4/6 + 104*t**3/3 - 456*t**2 - 4. Factor q(x).
-2*(x - 2)*(x + 52)
Let i = -170065 - -340157/2. Factor -1/2*l**4 + i*l - 3/2*l**3 + 9/2*l**2 + 0.
-l*(l - 3)*(l + 3)**2/2
Suppose 0 = -u + k + 15, 3*k - 60 + 7 = -4*u. Let 23 + u*n**2 + 4 + n**3 - 3 - 3*n**3 - 32*n = 0. What is n?
2, 3
Suppose -115*c = -52*c - 3969. Let k be (5 - -3)*3/c. Factor 8/21*q - 2/21*q**2 - k.
-2*(q - 2)**2/21
Determine o so that -9216/5 + 1344/5*o - 49/5*o**2 = 0.
96/7
Let v be 6*6/108*6. Suppose -2235 + 181*z + 9080 + 3*z**2 + 2*z**v + 112*z + 77*z = 0. What is z?
-37
Let g(n) be the first derivative of -2*n**5/45 - n**4/9 + 10*n**3/27 + 2*n**2/3 + 687. Factor g(i).
-2*i*(i - 2)*(i + 1)*(i + 3)/9
Let 2/7*c**5 + 4080*c**3 + 416/7*c**4 - 196000*c + 0 + 89600*c**2 = 0. What is c?
-70, 0, 2
Let i(w) be the third derivative of -w**8/112 - 3*w**7/35 - w**6/8 + 4*w**5/5 + 3*w**4/2 - 8*w**3 + 232*w**2 + 5*w. Let i(g) = 0. Calculate g.
-4, -2, 1
Let t(w) be the first derivative of -156/7*w**4 - 20 - 141/14*w**2 + 192/35*w**5 - 12/7*w - 180/7*w**3. Factor t(h).
3*(h - 4)*(4*h + 1)**3/7
Let j(u) be the first derivative of u**5/20 - u**4/8 - u**3 + 5*u**2 - 8*u + 1318. Suppose j(i) = 0. What is i?
-4, 2
Factor 51/4*g + 5/4*g**3 + 31/4*g**2 + 9/4.
(g + 3)**2*(5*g + 1)/4
Suppose -4358 = -79*h - 4358. Suppose -1/4*y**3 + 1/2*y - 1/4*y**2 + h = 0. Calculate y.
-2, 0, 1
Let b(q) be the second derivative of q**5/25 - 31*q**4/6 + 988*q**3/5 + 1521*q**2/5 + 1134*q. Suppose b(w) = 0. What is w?
-1/2, 39
Suppose -58 = -7*g + 2*a, -76*g + 77*g = 3*a + 49. Let -8/9*f - 2/9*f**5 + 16/9 + 10/9*f**3 - 20/9*f**2 + 4/9*f**g = 0. Calculate f.
-2, -1, 1, 2
Let y(j) be the third derivative of -j**5/90 + 169*j**4/9 - 43*j**2 + 23*j + 1. Factor y(m).
-2*m*(m - 676)/3
Let v be ((-15)/(-54))/1 - (-6 - (-936)/162). Factor -30*o**3 + v*o**4 + 50625/2 - 6750*o + 675*o**2.
(o - 15)**4/2
Let x = 695 - 360. Let k = 3029/9 - x. Find q such that 4/9*q + 10/9*q**3 + 0 + k*q**2 = 0.
-1, -2/5, 0
Let h(j) = 44*j**3 - 15065*j**2 + 18900310*j - 7906625495. Let o(r) = -26*r**3 + 7533*r**2 - 9450156*r + 3953312747. Let t(m) = 3*h(m) + 5*o(m). Factor t(g).
2*(g - 1255)**3
Let w(b) be the second derivative of b**8/5040 - 13*b**7/7560 + b**6/720 - 5*b**4 - 3*b + 18. Let h(p) be the third derivative of w(p). Solve h(x) = 0.
0, 1/4, 3
Let p be (-4284)/588 - 14/(-1) - (3 + 3). Factor p*k**3 + 4/7*k + 16/7*k**2 + 0 - k**4.
-k*(k - 2)*(k + 1)*(7*k + 2)/7
Let v(y) be the first derivative of -y**7/3360 - y**6/1440 + y**5/240 + 65*y**3/3 - 5. Let i(z) be the third derivative of v(z). Factor i(c).
-c*(c - 1)*(c + 2)/4
Let b(x) be the second derivative of -16/3*x**4 + 1 + 0*x**2 + 4*x + 1/21*x**7 + 3/10*x**5 + 13/30*x**6 - 16/3*x**3. Factor b(y).
y*(y - 2)*(y + 4)**2*(2*y + 1)
Let f = 589 - -1. Let a = -588 + f. Let 13/2*z**a - 5*z + 0 + 3/2*z**3 = 0. Calculate z.
-5, 0, 2/3
Factor -42875/3 + 1225*q - 35*q**2 + 1/3*q**3.
(q - 35)**3/3
Suppose -441*h + 1220*h - 648*h**2 - 1125 + 80*h**3 - 32*h**2 + 946*h = 0. What is h?
1, 15/4
Let x(n) be the first derivative of -n**5/40 - 7*n**4/6 - 55*n**3/4 + 225*n**2/2 - 72*n + 13. Let d(c) be the first derivative of x(c). Factor d(t).
-(t - 2)*(t + 15)**2/2
Let h(s) be the first derivative of -1/70*s**5 + 5*s - 1/7*s**4 + 29 - 4/7*s**2 - 3/7*s**3. Let o(n) be the first derivative of h(n). Factor o(z).
-2*(z + 1)**2*(z + 4)/7
Let o(z) be the first derivative of -4*z**2 - 1/3*z**3 + 39 + 9*z. Factor o(u).
-(u - 1)*(u + 9)
Factor -70*k - 347 - 12*k**3 + 2*k**5 + 8*k**4 - 64*k**2 + 672 - 349.
2*(k - 3)*(k + 1)**3*(k + 4)
Factor -134*r**2 + 29*r**2 + 214 - 19*r**3 + 40*r**3 + 391 + 495*r - 16*r**3.
5*(r - 11)**2*(r + 1)
Let m be (48 + -26)/66 - 10/(-6). Let z(x) be the first derivative of 3/10*x**5 - 10 + 3/4*x**4 + 0*x - 3/2*x**m - 1/2*x**3. Let z(b) = 0. What is b?
-2, -1, 0, 1
Factor 196*i - 36*i**4 - 2 - 469*i**2 + 1416*i**3 + 3 - 1 - 157*i.
-i*(i - 39)*(6*i - 1)**2
Let s(y) = 3*y**2 - 8*y + 23. Let u be -4 + -4*2*-1. Let b be ((-20)/25)/(u/10). Let h(c) = 10*c**2 - 23*c + 68. Let t(x) = b*h(x) + 7*s(x). Factor t(l).
(l - 5)**2
Let v = -5878/15 + 392. Let s = -33/8 - -181/40. Factor s - 8/15*j + v*j**2.
2*(j - 3)*(j - 1)/15
Let s be ((-322)/(-2093))/(12/39). Determine h, given that -1/4*h**2 + 6 + s*h = 0.
-4, 6
Let k(l) be the third derivative of l**9/7560 - l**8/560 - l**7/180 + 167*l**4/24 + 243*l**2. Let r(d) be the second derivative of k(d). Factor r(i).
2*i**2*(i - 7)*(i + 1)
Suppose 5*i - 5 = m, 3*i + 5 = 5*i - m. Let k be 1/6*(i + 1). Suppose 2/3*n**2 + 0*n - 5/6*n**3 + 0 + k*n**4 = 0. Calculate n.
0, 1, 4
Let x = 121913 + -121893. Find w such that -14/3*w**4 - 24*w**2 + 0 + x*w**3 + 16/3*w = 0.
0, 2/7, 2
What is m in 98*m + 2/3*m**2 - 300 = 0?
-150, 3
Let u(a) = -10898*a - 3730. Let t be u(-1). 