the first derivative of 2/15*t**5 + 8/3*t**3 + t**4 - 11 + 8/3*t**2 + 0*t. Suppose s(o) = 0. Calculate o.
-2, 0
Suppose 2*f - 2 = 4*a - 4, 0 = -5*f - 3*a + 21. Factor 3*z**2 - 2*z**f + 74*z - z**4 - 74*z.
-z**2*(z - 1)*(z + 3)
Let d(x) be the third derivative of x**6/120 - x**5/20 + x**4/12 + 6*x**2 - 2. Suppose d(p) = 0. What is p?
0, 1, 2
Let g(x) be the second derivative of -x**7/6300 + 2*x**6/225 - 16*x**5/75 + 5*x**4/2 + 10*x. Let w(k) be the third derivative of g(k). Factor w(d).
-2*(d - 8)**2/5
Let w(f) be the second derivative of -f**6/10 + 9*f**5/2 - 253*f**4/4 + 210*f**3 - 294*f**2 - 93*f. Factor w(q).
-3*(q - 14)**2*(q - 1)**2
Suppose 5*j = -5*f + 195, -5*f = -5*j - 8*f + 187. What is x in 6*x + x**4 - 10*x - 11*x**3 - 17*x + j*x**2 - 4*x = 0?
0, 1, 5
Factor 36*i + 51 + 76 - 22 + 3*i**2.
3*(i + 5)*(i + 7)
Let w(q) = -7*q**3 - 13*q**2 + 2*q + 13. Let y(m) = 3*m**3 + 6*m**2 - m - 6. Let b(r) = r**2 - 4*r + 2. Let x be b(2). Let c(g) = x*w(g) - 5*y(g). Factor c(u).
-(u - 1)*(u + 1)*(u + 4)
Let v be 12*((2 - (-153)/(-108)) + (-2)/6). Factor 6 + 495/2*y**2 + 72*y + 363/2*y**v.
3*(y + 1)*(11*y + 2)**2/2
Let q(j) = -j**2 + 6*j + 1. Let g be q(5). Suppose -50 = y - g*y. Solve -6*x + 3 + 0*x**2 + x**2 - y*x**2 = 0.
-1, 1/3
Let m be (0 - 34)*17/2. Let l = m - -646. Let -143 - 3*o**3 - o**3 - 60*o**2 - 300*o - l = 0. Calculate o.
-5
Let n = 18 + -13. Suppose 0 = -3*i + 2*r, 2*r - n = -i + r. Solve 27*p**4 - 5*p + 7*p - 9*p**i - 4 + 5*p - 54*p**3 + 13*p = 0 for p.
-2/3, 1/3, 2
Let b(d) be the third derivative of 0*d**3 + 0 + 0*d + 1/5*d**5 + 1/40*d**6 - 6*d**2 - 2/35*d**7 - 1/8*d**4. Find s such that b(s) = 0.
-1, 0, 1/4, 1
Factor -6*h**2 - 14 - 61/3*h + 1/3*h**3.
(h - 21)*(h + 1)*(h + 2)/3
Let d(r) be the second derivative of 1/72*r**4 - 5*r + 1/4*r**2 + 0 - 1/9*r**3. Factor d(x).
(x - 3)*(x - 1)/6
Let k(t) = -t**3 + 5*t**2 + 13*t - 40. Let i be k(6). Let g(f) be the second derivative of 1/4*f**4 - f**i - f + 1/6*f**3 + 0. Factor g(o).
(o + 1)*(3*o - 2)
Let w(r) be the second derivative of r**4/9 + 14*r**3/9 - 16*r**2/3 + 117*r. Let w(n) = 0. What is n?
-8, 1
Let f(p) be the first derivative of 2/63*p**3 - 11/21*p**2 + 20/21*p + 17. Factor f(w).
2*(w - 10)*(w - 1)/21
Let a be (-32)/(-14)*(-1666)/(-1428). Solve a*n**3 + 3/2*n + 0 + 4*n**2 = 0 for n.
-3/4, 0
Let i(g) be the first derivative of 147*g**5/5 + 21*g**4 - 45*g**3 - 42*g**2 - 12*g + 223. Find c, given that i(c) = 0.
-1, -2/7, 1
Let f be 195/12 - (-51 - -67). Determine z, given that -1 - z + f*z**3 + 1/4*z**2 = 0.
-2, -1, 2
Let n(c) = 8*c**4 - 36*c**3 - 28*c**2 + 16*c - 4. Let x(p) = 33*p**4 - 143*p**3 - 111*p**2 + 65*p - 18. Let u(o) = 9*n(o) - 2*x(o). Factor u(a).
2*a*(a - 7)*(a + 1)*(3*a - 1)
Let r(l) be the third derivative of 1/10*l**5 + 1/30*l**6 - 1/105*l**7 - 31*l**2 + 0*l**4 + 0*l**3 + 0 + 0*l. Determine n, given that r(n) = 0.
-1, 0, 3
Let -28*f**2 - 124*f**2 - 5*f**3 + 30*f**2 + 2*f**2 = 0. What is f?
-24, 0
Let t(c) be the first derivative of -c**6/5 + 24*c**5/25 + 3*c**4/5 - 16*c**3/5 - 3*c**2/5 + 24*c/5 - 92. Determine i, given that t(i) = 0.
-1, 1, 4
Determine c, given that 290 + 26*c**2 - 7*c**2 - 4*c**3 + 4*c - 4*c**4 + 9*c**2 - 314 = 0.
-3, -1, 1, 2
Let j(s) be the second derivative of s**7/63 - 11*s**6/45 + 4*s**5/5 + 2*s**4 + 84*s - 2. Factor j(p).
2*p**2*(p - 6)**2*(p + 1)/3
Let d(r) be the third derivative of -r**8/4032 + r**5/15 + 13*r**2. Let z(l) be the third derivative of d(l). Factor z(i).
-5*i**2
Let t(r) be the second derivative of -9 - 2/9*r**4 + 8/9*r**3 - 4*r - 1/15*r**5 + 16/3*r**2. Factor t(k).
-4*(k - 2)*(k + 2)**2/3
Let v = 13276 - 13272. Factor 2/5*g**v + 12/5*g**2 - 8/5*g**3 - 8/5*g + 2/5.
2*(g - 1)**4/5
Let c(w) = 3*w**2 + 81*w + 80. Let v be c(-1). Factor -2/3*k**v + 4/3*k**3 + 0*k - 2/3*k**4 + 0.
-2*k**2*(k - 1)**2/3
Let z = 4 - 2. Suppose 4*w - z*w = 0. Determine i, given that 3*i + w*i - 3 - 3*i + 3*i**2 = 0.
-1, 1
Factor 401*t**2 + 38 - 52*t - 405*t**2 - 206.
-4*(t + 6)*(t + 7)
Factor 2/5*u**2 + 6*u + 28/5.
2*(u + 1)*(u + 14)/5
Let b be -63 + 66 - 209/70. Let l(p) be the second derivative of 0*p**2 - 1/21*p**3 - 1/21*p**4 + 0 - p - b*p**5. Determine y so that l(y) = 0.
-1, 0
Suppose -111*f = -120*f + 18. Let 1/2*t**3 + 0 + t + 3/2*t**f = 0. Calculate t.
-2, -1, 0
Let c be (-7)/18 + 31/62. Let t(z) be the first derivative of 1/3*z**2 + 0*z - 8/9*z**3 + c*z**6 + 5 + z**4 - 8/15*z**5. Factor t(p).
2*p*(p - 1)**4/3
Let j(m) be the first derivative of 1/10*m**4 - 16/15*m**3 + 21/5*m**2 + 8 - 36/5*m. Factor j(o).
2*(o - 3)**2*(o - 2)/5
Factor -8/5*m - 1/5*m**2 + 0.
-m*(m + 8)/5
Factor 2*v**2 - 55*v + 18 - 70 - 42*v + 117*v - 42*v.
2*(v - 13)*(v + 2)
Factor 3/5*t**4 - 6/5 - 9/5*t + 9/5*t**3 + 3/5*t**2.
3*(t - 1)*(t + 1)**2*(t + 2)/5
Let k(s) = -18*s - 192. Let y be k(-11). Let p(x) be the first derivative of x**3 + 9/2*x**2 + 6*x + y. Factor p(t).
3*(t + 1)*(t + 2)
Let v(u) be the third derivative of 11*u**7/630 + u**6/40 - 13*u**5/180 - u**4/8 + u**3/9 - 28*u**2. Let v(s) = 0. What is s?
-1, 2/11, 1
Let q(d) be the first derivative of -4*d**5/35 + 10*d**4/7 - 32*d**3/7 - 20*d**2/7 + 100*d/7 - 51. Solve q(a) = 0.
-1, 1, 5
Let x = 12/187 - -290/1309. Factor x*g**2 + 0*g - 9/7*g**3 + 0.
-g**2*(9*g - 2)/7
Let p(j) be the first derivative of -j**4/6 + 8*j**3/3 + 5*j**2 - 52*j/3 - 305. Factor p(b).
-2*(b - 13)*(b - 1)*(b + 2)/3
Let a be (-48)/(-70) - -1*(-15)/(-25). Determine i, given that a*i**2 - 2/7*i - i**3 + 0 = 0.
0, 2/7, 1
Let c(w) be the third derivative of w**7/420 - w**6/80 + w**5/60 + 4*w**2 + 7*w. Factor c(q).
q**2*(q - 2)*(q - 1)/2
Let y(x) be the third derivative of -x**7/4620 + x**6/396 - 2*x**5/165 + x**4/33 + 3*x**3 - 41*x**2. Let r(o) be the first derivative of y(o). Factor r(m).
-2*(m - 2)**2*(m - 1)/11
Let x = 47 + -47. Suppose x = 2*g - 10*g - 0*g. Factor 2/7*s + 1/7*s**2 + g.
s*(s + 2)/7
Let w(i) be the first derivative of 81*i**5/140 + 9*i**4/14 + 2*i**3/7 + 18*i**2 - 11. Let y(f) be the second derivative of w(f). Solve y(k) = 0.
-2/9
Let t(o) = -o**3 - 5*o**2 + o + 3. Let h be t(-5). Let x be 4 - (-14)/h - 5*-1. Let -2*y**4 + 66/7*y**3 + 16/7 + 24/7*y - 92/7*y**x = 0. What is y?
-2/7, 1, 2
Factor 16*k**4 + 17*k + 185*k**2 + 7*k + 46*k**3 - 272*k**2 + 143*k**2 + 2*k**5 + 0*k.
2*k*(k + 1)*(k + 2)**2*(k + 3)
Let l be 8/((-320)/(-90))*(-6)/(-4). Determine y, given that l*y + 9/8*y**2 + 27/8 + 1/8*y**3 = 0.
-3
Let t(x) be the first derivative of x**5/5 + 3*x**4 + 44*x**3/3 + 24*x**2 + 481. Factor t(p).
p*(p + 2)*(p + 4)*(p + 6)
Let o(k) be the second derivative of -k**5/20 - 16*k**4/3 - 442*k**3/3 + 2312*k**2 + k + 589. Factor o(w).
-(w - 4)*(w + 34)**2
Suppose -3*d**2 + 784*d - 388*d - 381*d = 0. Calculate d.
0, 5
Let o(d) = 3*d**4 + 2*d**3 + d**2 - 1. Let t(l) = -2*l**4 + l**3 + l**2 + 1. Let c(m) = 5*o(m) + 5*t(m). Factor c(g).
5*g**2*(g + 1)*(g + 2)
Factor 3/2*c**4 + 0*c + 0 + 0*c**2 + 15*c**3.
3*c**3*(c + 10)/2
Suppose -4*k = -3*i - 25 - 61, -5*k + 5*i = -110. Factor -20 - k*h**2 - 20*h + h**3 + 25*h**2 + 4*h**3.
5*(h - 2)*(h + 1)*(h + 2)
Let c(s) be the third derivative of -s**5/60 + s**4/2 + 14*s**3/3 + 125*s**2 + 2*s. Factor c(h).
-(h - 14)*(h + 2)
Let s(f) be the third derivative of f**5/90 + 3*f**4/4 + 26*f**3/9 + 205*f**2. Suppose s(n) = 0. What is n?
-26, -1
Let l = 851 + -1701/2. Solve 1/2*o**4 + l*o**2 + 0 + o**3 + 0*o = 0 for o.
-1, 0
Let t = 60 - 63. Let o be 5*2/t*(-6)/50. Factor 2/5*i**5 + 0 - 4/5*i**3 + 0*i + 0*i**2 + o*i**4.
2*i**3*(i - 1)*(i + 2)/5
Let y be (-2)/3 + 649/33. Suppose 9*d - 4*d - y = -t, -5 = 5*d - 5*t. Find z, given that -d*z**5 - 4*z + 6*z**4 - 3*z**3 + 0*z + 4*z = 0.
0, 1
Let m(d) be the third derivative of -7*d**6/1800 - 3*d**5/200 - d**4/60 - 13*d**3/3 + 5*d**2. Let i(c) be the first derivative of m(c). Factor i(w).
-(w + 1)*(7*w + 2)/5
Let y(m) be the second derivative of -m**5/190 - 5*m**4/38 + 18*m**3/19 + 154*m. Find a such that y(a) = 0.
-18, 0, 3
Let d(i) be the first derivative of -3/28*i**4 + 12/7*i - 1/7*i**3 + 6/7*i**2 + 2. Factor d(a).
-3*(a - 2)*(a + 1)*(a + 2)/7
Let k(y) = -y**3 + y - 1. Let b(p) = -p**3 + 26*p**2 + 27*p - 2. Let x(l) = -b(l) + 2*k(l). Determine c, given that x(c) = 0.
-25, -1, 0
Let p = -327 + 331. Let y(k) be the second derivative of 3/4*k**p + 3/20*k**5 + 0 + 