 2/21*x**g. Factor v(k).
2*(k - 2)*(k - 1)*(k + 2)/7
Let y(l) be the first derivative of -5*l**3/12 - 15*l**2/8 - 25. Determine b so that y(b) = 0.
-3, 0
Let s be (-134)/(-4)*(-5)/((-10)/4). Suppose 64*p = s*p. Find g such that p + 0*g - 2/5*g**3 + 0*g**2 = 0.
0
Let x(w) be the first derivative of -w**3 - 9*w**2/8 + 3*w/4 + 17. Determine a, given that x(a) = 0.
-1, 1/4
Let j(a) = -34*a + 921. Let o be j(27). Factor 1/3*x - 2/3*x**o + 1/3 + 1/3*x**5 - 2/3*x**2 + 1/3*x**4.
(x - 1)**2*(x + 1)**3/3
Let h(r) be the first derivative of r**3/15 - 62*r**2/5 + 3844*r/5 - 101. Find d such that h(d) = 0.
62
Let x(d) be the second derivative of d**5/630 + d**4/63 + 4*d**3/63 - 13*d**2/2 + 10*d. Let y(j) be the first derivative of x(j). Factor y(c).
2*(c + 2)**2/21
Let k(i) be the first derivative of 0*i - 4/25*i**5 - 46 - 1/30*i**6 + 0*i**3 - 1/5*i**4 + 0*i**2. Factor k(j).
-j**3*(j + 2)**2/5
Let s(v) be the third derivative of 0*v + 1/90*v**6 + 0 + 0*v**3 - 39*v**2 + 1/60*v**5 + 1/630*v**7 + 0*v**4. Factor s(d).
d**2*(d + 1)*(d + 3)/3
Suppose -35*u + 5 = -58 - 77. Let r = 1685/9 + -187. Find f, given that 4/9*f**u + 0 + 0*f - r*f**3 - 2/9*f**5 + 0*f**2 = 0.
0, 1
Let m = -2406 - -252649/105. Let a = 2/105 + m. Factor 0 + 0*o + a*o**3 + 2/5*o**2.
o**2*(o + 2)/5
Let w(p) be the first derivative of -p**6/15 + 2*p**5/5 - 4*p**4/5 + 8*p**3/15 - 30. Suppose w(k) = 0. Calculate k.
0, 1, 2
Let o(c) be the second derivative of -c**7/280 - c**6/64 - c**5/40 - c**4/64 - 7*c**2/2 + 4*c. Let h(m) be the first derivative of o(m). Factor h(g).
-3*g*(g + 1)**2*(2*g + 1)/8
Let l(i) be the second derivative of -i**7/42 - 29*i**6/30 - 56*i**5/5 - 49*i**4/3 + 95*i. Let l(g) = 0. What is g?
-14, -1, 0
Let b = 393 - 391. Let n(a) be the first derivative of -1/9*a**b + 3 + 0*a - 4/27*a**3 - 1/18*a**4. Suppose n(c) = 0. What is c?
-1, 0
Let w(y) = 68*y - 22. Let b(j) = 4*j**2 + 0*j**2 - j - 5*j**2. Let u(h) = 35*b(h) - 5*w(h). Factor u(f).
-5*(f + 11)*(7*f - 2)
Let j(y) be the third derivative of -54/7*y**3 + 9*y**2 - 33/14*y**4 + 0 - 1/210*y**6 - 19/105*y**5 + 0*y. Factor j(q).
-4*(q + 1)*(q + 9)**2/7
Let f = -453/14 + 230/7. Let z(p) be the third derivative of f*p**4 - 9/10*p**5 + 0 + 3*p**2 + 0*p - 1/35*p**7 + 4*p**3 + 11/40*p**6. Let z(b) = 0. Calculate b.
-1/2, 2
Suppose 152*c - 74*c = 156. Factor -6*o**c + 0 + 9/2*o + 3/2*o**3.
3*o*(o - 3)*(o - 1)/2
Let t(n) be the first derivative of 7/6*n**4 + 11 - 1/3*n - 43/18*n**3 + 17/12*n**2. Factor t(q).
(q - 1)*(4*q - 1)*(7*q - 2)/6
Factor -25/4*i + 0 + 45/8*i**2 + 1/8*i**4 - 3/2*i**3.
i*(i - 5)**2*(i - 2)/8
Let j(n) be the second derivative of n**6/50 + 9*n**5/50 + 3*n**4/5 + n**3 + 9*n**2/10 - 91*n. Let j(c) = 0. Calculate c.
-3, -1
Let o(f) be the second derivative of -f**5/100 + f**4/5 - 11*f**3/30 + f + 182. Let o(h) = 0. Calculate h.
0, 1, 11
Let p(r) be the second derivative of 6*r**3 + 27/4*r**2 + 3/5*r**5 + 1/20*r**6 + 0 + 6*r + 11/4*r**4. Determine t so that p(t) = 0.
-3, -1
Let n(y) be the second derivative of -y**4/3 + 58*y**3/3 + 60*y**2 + 2*y + 35. Factor n(i).
-4*(i - 30)*(i + 1)
Suppose 25*d - 2*d = 1909. Suppose -d*s + 80*s + 6 = 0. Factor 2/3*c**4 + s*c**3 - 2/3*c**5 + 0 + 4/3*c - 10/3*c**2.
-2*c*(c - 1)**3*(c + 2)/3
Suppose -68 = -0*o - 2*o. Let s(a) = -3 - 7*a**2 + 5 + o*a + 2 - 37*a. Let d(k) = 3*k**2 + k - 2. Let l(q) = -5*d(q) - 2*s(q). Factor l(c).
-(c - 2)*(c + 1)
Let p = 19 + -17. Determine w, given that 8 + 6*w + w**p + w**2 + 0*w**2 - 4*w**2 = 0.
-1, 4
Let o be -1 - 1 - (-180)/75. Suppose -8 = -2*h, 5*n + 10*h - 30 = 5*h. Factor -2/5 + 4/5*z - o*z**n.
-2*(z - 1)**2/5
Let o be 2*(-1 - 15/(-6)). Factor -14*l - o + 2*l + 9 + 3*l**3 + 3*l.
3*(l - 1)**2*(l + 2)
Find t such that 2*t**3 + 3189*t**2 + t**3 + 149*t - 3116*t**2 - 4*t**3 + 75 = 0.
-1, 75
Let i(p) be the second derivative of 1/28*p**4 - 19*p + 0 + 0*p**2 + 2/7*p**3. Factor i(m).
3*m*(m + 4)/7
Let p(b) = -b**2 + 14*b - 17. Let j be p(12). Let s = -4 + j. Solve s - 34*i**2 - 36*i - 29*i**4 + 54*i**5 + 146*i**4 + 57*i**3 - 11 = 0.
-1, -2/3, -1/2, 2/3
Let d(a) be the first derivative of -1/10*a**5 + 1/6*a**3 + 1/12*a**6 + 0*a - 7 + 0*a**2 - 1/8*a**4. Factor d(r).
r**2*(r - 1)**2*(r + 1)/2
Let 0 - 13/3*n - 14/3*n**2 - 1/3*n**3 = 0. What is n?
-13, -1, 0
Let f(u) be the third derivative of -u**7/15120 + u**6/540 - u**5/45 + 23*u**4/24 - 12*u**2. Let v(r) be the second derivative of f(r). Solve v(s) = 0.
4
Factor 0 - 3/2*w + 405/8*w**3 - 9/2*w**2.
3*w*(9*w - 2)*(15*w + 2)/8
Let t(s) = 1290*s + 1292. Let k be t(-1). Factor x**k + 0*x + 3/2*x**3 + 1/2*x**4 + 0.
x**2*(x + 1)*(x + 2)/2
Find q such that q**4 - 11/4*q**3 + 0 + 0*q + 1/4*q**5 + 3/2*q**2 = 0.
-6, 0, 1
Let k(c) = c**2 - 6*c + 7. Let n(f) = f - 1. Let d = 20 - 10. Suppose 3*b - d*b = -28. Let z(o) = b*k(o) + 28*n(o). Find h such that z(h) = 0.
-1, 0
Let l(n) be the second derivative of n**5/4 - 175*n**4/4 + 2340*n**3 - 6760*n**2 + 343*n. Factor l(d).
5*(d - 52)**2*(d - 1)
Let h(t) be the second derivative of t**5/70 + t**4/14 - 4*t**3/21 + 50*t. Find i, given that h(i) = 0.
-4, 0, 1
Let r(q) be the third derivative of -q**6/60 - 3*q**5/10 - 11*q**4/12 + 7*q**3 - 528*q**2. Solve r(w) = 0 for w.
-7, -3, 1
Determine x so that 2 + 1/6*x**2 + 13/6*x = 0.
-12, -1
Let s(n) be the second derivative of -n**4/16 + 3*n**3 - 121*n. Factor s(o).
-3*o*(o - 24)/4
Let j(r) = -r**2 - r - 1. Let k(v) = 5*v**3 + 2*v**2 - 3*v - 3. Let y be ((2 - 1) + 0)/1. Let p(z) = y*k(z) - 3*j(z). Factor p(n).
5*n**2*(n + 1)
Let b(l) = -23*l**3 - 24*l**2 + 35*l + 12. Let x(t) = -12*t**3 - 12*t**2 + 18*t + 6. Suppose 9*i - 3*i = -18. Let p(d) = i*b(d) + 5*x(d). Factor p(q).
3*(q - 1)*(q + 2)*(3*q + 1)
Factor 6*a**2 + 3/4*a**3 + 9/2 + 39/4*a.
3*(a + 1)**2*(a + 6)/4
Solve 27/2*w + 14 - 1/2*w**2 = 0.
-1, 28
Let o(i) be the third derivative of i**6/420 + i**5/210 - 65*i**4/84 + 3*i**3 - 621*i**2. Factor o(m).
2*(m - 7)*(m - 1)*(m + 9)/7
Let b be (-2)/((3 - -1)/(-4)). Factor 20/9*i**3 + 4/3*i**4 + 8/9*i**b + 0 + 0*i.
4*i**2*(i + 1)*(3*i + 2)/9
Let k(f) be the first derivative of -f**4/4 - 25*f**3/12 - 21*f**2/4 - 9*f/4 + 114. Factor k(j).
-(j + 3)**2*(4*j + 1)/4
Let q(x) = -x**2 - 6*x + 5. Let c be q(-6). Suppose -i + 0 + c = 0. Factor i*o**5 - 15*o**3 - 13*o**5 - o**2 + 2*o - 6*o**4 - 13*o**4 + o**5.
-o*(o + 1)**3*(7*o - 2)
Let c(v) be the second derivative of v**4/6 - 10*v**3/3 + 25*v**2 + 72*v. Let c(b) = 0. What is b?
5
Let x(t) = -5*t**4 - 14*t**3 + 16*t**2 + 106*t + 75. Let d(r) = -11*r**4 - 29*r**3 + 31*r**2 + 211*r + 147. Let l(o) = -2*d(o) + 5*x(o). Factor l(s).
-3*(s - 3)*(s + 1)*(s + 3)**2
Let p(r) = -3*r**4 + 19*r**3 + 6*r**2 - 44*r. Let u(v) = -8*v**4 + 57*v**3 + 11*v**2 - 131*v. Let s(x) = 11*p(x) - 4*u(x). Factor s(t).
-t*(t - 2)*(t + 1)*(t + 20)
Let x be (32/12)/(22/18 - 1). Let k(p) = 6*p**4 + 11*p**3 + 5. Let u(c) = -15*c**4 - 27*c**3 - 12. Let q(d) = x*k(d) + 5*u(d). Factor q(v).
-3*v**3*(v + 1)
Let a be (4*1)/((-39 + 16)/(-23)). Suppose -7/11*z**2 - 3/11*z - 5/11*z**3 - 1/11*z**a + 0 = 0. Calculate z.
-3, -1, 0
Let h(m) = -m**3 - m**2 + 82. Let t be h(0). Factor -351*q + 111*q + 18 - 50*q**3 - t - 300*q**2 - 75*q**3.
-(5*q + 4)**3
Factor 2/5*g**2 + 4418/5 - 188/5*g.
2*(g - 47)**2/5
Let z = 919/46 - 20. Let g = 51/230 + z. Factor -1/5*s**3 + 1/5*s + 3/5*s**2 - 2/5 - g*s**4.
-(s - 1)**2*(s + 1)*(s + 2)/5
Let t(d) be the first derivative of d**4/2 - 3*d**2 + 4*d - 27. Find a, given that t(a) = 0.
-2, 1
Let y(j) be the second derivative of -3/5*j**2 + 0 - 1/50*j**6 + 3/100*j**5 + 20*j + 3/20*j**4 - 1/10*j**3. Solve y(b) = 0 for b.
-1, 1, 2
Factor -16/3*b**2 + 2/3*b**3 + 34/3*b - 20/3.
2*(b - 5)*(b - 2)*(b - 1)/3
Suppose -i + 19 = -5*m + 44, -5 = -i - m. Factor -7/6*j**5 + 0*j - 5/6*j**4 + 0*j**2 + 1/3*j**3 + i.
-j**3*(j + 1)*(7*j - 2)/6
Let x(n) = -n**2 + 10*n - 15. Let y(k) = 4*k**2 - 40*k + 57. Let o(m) = -9*x(m) - 2*y(m). Solve o(v) = 0.
3, 7
Let n = 192 - 109. Let h = n - 81. Solve -1/2*o**3 - 24*o + 6*o**h + 32 = 0.
4
Factor 1/7*u**5 + 0 - 3/7*u**4 + 0*u + 0*u**2 - 10/7*u**3.
u**3*(u - 5)*(u + 2)/7
Let k = 20 - 35. Let i be (-2 + k/(-9))*-9. Factor 1/4*m**4 + 0*m**i - 1/4*m**2 + 0*m + 0.
m**2*(m - 1)*(m + 1)/4
Let z(m) be the second derivative of 3*m**5/20 + 5*m**4/4 + 4*m**3 + 6*m**2 + 583*m. Factor z(p).
3*(p 