the third derivative of 17*q**5/210 - 389*q**4/84 - 46*q**3/21 + q**2 - 474*q. Factor m(k).
2*(k - 23)*(17*k + 2)/7
Let u(g) be the first derivative of -g**4 - 12*g**3 + 68*g**2 - 96*g - 2436. Factor u(b).
-4*(b - 2)*(b - 1)*(b + 12)
Let o(g) be the third derivative of g**6/210 - 29*g**5/105 - 16*g**4/7 + 1534*g**2. Determine b, given that o(b) = 0.
-3, 0, 32
Let r = -667718 - -1335439/2. Factor 93/2*q - 99 + r*q**2.
3*(q - 2)*(q + 33)/2
Let w(b) = -2 + 28 + 8 + 3*b**2 - b**2 + 19*b. Let j be w(-14). Let 848*h**3 - 359*h**4 + 98*h**5 - 246*h - 173*h**4 - 106*h - j*h**2 - 64 = 0. Calculate h.
-2/7, 2
Let k be (-16)/(-40) - (-4)/10. Let d = -16/307 - -3764/1535. Suppose d*r**2 + 4/5 + k*r**3 + 12/5*r = 0. Calculate r.
-1
Let p = 8514 + -8511. Let f(q) be the first derivative of -8/3*q**p + 0*q**2 + 4/5*q**5 - 14 + 0*q + q**4. Determine h, given that f(h) = 0.
-2, 0, 1
Let b(u) be the first derivative of -u**4/60 - u**3/15 - 39*u + 71. Let m(s) be the first derivative of b(s). Find v, given that m(v) = 0.
-2, 0
Factor -3/2*f**2 + 0 + 0*f + 174*f**3.
3*f**2*(116*f - 1)/2
Find l, given that -1045*l**3 - 7220*l**2 - 150532*l + 150532*l - 2 + 2 + 170*l**4 - 5*l**5 = 0.
-4, 0, 19
Factor -416/9*x - 14/9*x**2 - 290/9.
-2*(x + 29)*(7*x + 5)/9
Let d(i) be the third derivative of -i**8/56 - 53*i**7/210 - 47*i**6/40 - 137*i**5/60 - 11*i**4/8 + 5*i**3/3 + 274*i**2 - 3. Find o such that d(o) = 0.
-5, -2, -1, 1/6
Let i be 23/2 + (-2)/8. Let h(d) = -211*d**2 + 15403*d + 2. Let f be h(73). Factor -225/4*z + 375/4 + i*z**f - 3/4*z**3.
-3*(z - 5)**3/4
Suppose 266*q + 1/4*q**3 - 71/4*q**2 + 1805 = 0. Calculate q.
-5, 38
Let x(u) be the third derivative of 1/420*u**8 + 2/105*u**7 + 7/150*u**6 + 4*u**2 + 1/25*u**5 + 0*u**4 + 0*u + 0*u**3 + 0. Factor x(j).
4*j**2*(j + 1)**2*(j + 3)/5
Let d(i) be the second derivative of -i**9/2016 - 3*i**8/1120 - i**7/280 + 11*i**3/3 + 25*i - 1. Let z(t) be the second derivative of d(t). Factor z(f).
-3*f**3*(f + 1)*(f + 2)/2
Determine p, given that -13258 + 11615*p - 2618 - 11111*p - 3*p**2 - p**2 = 0.
63
Let u(r) be the first derivative of -r**4/4 - 127*r**3/12 - 23*r**2/2 + 31*r/4 - 3355. Factor u(w).
-(w + 1)*(w + 31)*(4*w - 1)/4
Let a(i) be the second derivative of -1/2*i**3 + 0 + 3/20*i**5 + 63*i - 21/2*i**2 + 7/4*i**4. Let a(s) = 0. What is s?
-7, -1, 1
Let n be 2/1 - 12*(-23)/276. Let q(c) be the first derivative of -4/5*c**5 + 4*c**2 - 2*c**4 - 1 + 4*c + 0*c**n. Factor q(g).
-4*(g - 1)*(g + 1)**3
Suppose -3*b**3 - 11*b**3 - 18*b**3 + 63*b**2 - 67*b**2 - 6*b**3 = 0. What is b?
-2/19, 0
Factor -270 - 63/2*k - 3/4*k**2.
-3*(k + 12)*(k + 30)/4
Let x(l) = -208*l - 2702. Let j be x(-13). Let n(h) be the third derivative of 0*h**3 - 1/15*h**4 + 0*h + 1/75*h**5 + 35*h**j + 0. Factor n(b).
4*b*(b - 2)/5
Solve -991232/9 - 2816/9*t - 2/9*t**2 = 0 for t.
-704
Let z(l) be the first derivative of -l**4/6 - 62*l**3/9 - 86*l**2/3 - 112*l/3 - 981. Determine h so that z(h) = 0.
-28, -2, -1
Suppose 0 = 2*l + 902 - 936. Suppose l*k - 50 = -8*k. Factor 6/7 - 22/7*s**2 - k*s**3 - 2/7*s.
-2*(s + 1)**2*(7*s - 3)/7
Let q be (3255/(-180))/(-31) + (-2)/8. Let t(s) be the first derivative of -6 - q*s**2 + 4/9*s**3 + 0*s. Factor t(o).
2*o*(2*o - 1)/3
Suppose -5*u + 22 + 28 = 40. Factor -26/7*l + 24/7 + 2/7*l**u.
2*(l - 12)*(l - 1)/7
Let w be (6 + (-4 - 22))/((-1)/2). Suppose y - 6*y + w = 3*v, 15 = 3*v. Let -5/2 - 5/2*f**3 - 5/2*f**4 + 5/4*f + y*f**2 + 5/4*f**5 = 0. Calculate f.
-1, 1, 2
Factor 1/5*u**2 - 1/10*u**3 - 9/5 + 9/10*u.
-(u - 3)*(u - 2)*(u + 3)/10
Let z be (-6)/12 - (8/2 + 16/(-1)). Factor -5*i**2 - 5 + 3/2*i**3 - z*i.
(i - 5)*(i + 1)*(3*i + 2)/2
Suppose -5*w = a - 27, -5*a + 58*w + 223 = 61*w. Suppose 21*p + 5 = a. Determine l so that 4/7*l + 2/7 + 2/7*l**p = 0.
-1
Let c be 93 + (-126)/3 - 49. Solve -1/4*o**3 + o + 0 + 0*o**c = 0 for o.
-2, 0, 2
Let b(x) = -x**3 + 16*x**2 - 4*x - 11. Let s(r) = r**3 - 17*r**2 + 5*r + 11. Suppose -15*u + 7*u = 40. Let i(w) = u*s(w) - 6*b(w). Let i(n) = 0. Calculate n.
-1, 1, 11
Let o(t) be the second derivative of -5/12*t**3 + 0 - 1/24*t**4 + 55*t + 0*t**2. Solve o(f) = 0 for f.
-5, 0
Let y(m) be the second derivative of m**5/90 + 7*m**4/18 + 8*m**3/3 - 75*m**2/2 + 80*m. Let i(r) be the first derivative of y(r). Find x such that i(x) = 0.
-12, -2
Let g(p) be the first derivative of p**3 - 951*p**2 + 5679*p - 10474. Factor g(r).
3*(r - 631)*(r - 3)
Let n(z) be the second derivative of -z**6/90 - 142*z**5/5 - 30246*z**4 - 17179728*z**3 - 5488923096*z**2 + 9307*z. Find t, given that n(t) = 0.
-426
Let d(w) be the second derivative of -w**6/150 + 2*w**5/25 - 11*w**4/60 - 4*w**3/15 + 6*w**2/5 + 75*w + 3. Solve d(f) = 0.
-1, 1, 2, 6
Let n = 2 + 0. Let j be (-52)/(-754) - 260/(-435). Factor 29/6*x + 4*x**3 + 15/2*x**n + j*x**4 + 1.
(x + 2)*(x + 3)*(2*x + 1)**2/6
Let o(p) be the third derivative of -p**8/2520 + p**7/1260 + p**6/270 - 73*p**3/6 - 2*p**2 + 4. Let f(s) be the first derivative of o(s). Factor f(c).
-2*c**2*(c - 2)*(c + 1)/3
Let g(i) = i**2 + 3*i - 1. Let s(v) = -10*v**2 + 102*v - 894. Let h = 529 - 528. Let d(b) = h*s(b) + 6*g(b). Factor d(o).
-4*(o - 15)**2
Let x(b) be the first derivative of -b**4/32 + b**3/4 - 9*b**2/16 + b/2 + 4319. Let x(h) = 0. What is h?
1, 4
Let l(j) be the first derivative of 162 - 5*j**4 - 4/5*j**5 + 0*j + 0*j**2 + 8*j**3. Factor l(g).
-4*g**2*(g - 1)*(g + 6)
Let p(r) = 8*r**4 - 8*r**3 - 123*r**2 - 186*r + 6. Let c(x) = -33*x**4 + 33*x**3 + 493*x**2 + 746*x - 26. Let j(s) = -3*c(s) - 13*p(s). Factor j(m).
-5*m*(m - 6)*(m + 2)*(m + 3)
Let l = 9494 + -9492. Let y(f) be the second derivative of 5/4*f**4 + 0 + 6*f**l + 8*f**3 - 21/20*f**5 + 24*f. Factor y(t).
-3*(t - 2)*(t + 1)*(7*t + 2)
Let b = -199 - -203. Suppose 5797*i - 69*i**3 + 5*i**4 - 3*i**b + 1098*i**2 - 10333*i + 5832 - 15*i**3 = 0. Calculate i.
3, 18
Factor -445*c**2 - 435 + 207*c - 272*c + 647*c + 293*c + 5*c**3.
5*(c - 87)*(c - 1)**2
Let v be -2*((-1)/(-2) + (-4)/2). Let -v*x**3 + 4*x - x + 20 - 47 + 15*x**2 + 12 = 0. What is x?
-1, 1, 5
Let a be ((-50619)/9306 - (-2)/(-33)) + 7. Let r(j) be the first derivative of 3/4*j**4 + j**3 - a*j**2 - 3/5*j**5 + 0*j - 19. Factor r(b).
-3*b*(b - 1)**2*(b + 1)
Factor 90/23*m + 2/23*m**2 - 188/23.
2*(m - 2)*(m + 47)/23
Let s(i) be the second derivative of -i**4/3 + 337*i**3/2 + 253*i**2/2 - 815*i. Find c, given that s(c) = 0.
-1/4, 253
Suppose 5*h - 3*s = 71, -s = -5*h - 2*s + 63. Suppose -u + 5*z = 23, 4*u + 0*z = -z + h. Solve -46 - m**u - 4*m**2 - 20*m + 26 = 0.
-2
Find k, given that -85/4 + 1/2*k**4 - 171/4*k**3 + 171/4*k + 83/4*k**2 = 0.
-1, 1/2, 1, 85
Let q(w) = -5*w**3 + 43*w**2 - 8*w. Let b(t) = -4*t**3 + 47*t**2 - 6*t. Let k(m) = -8*b(m) + 6*q(m). Factor k(s).
2*s**2*(s - 59)
Let r(f) be the second derivative of -f**7/1680 + f**6/480 - f**5/480 - 3*f**3/2 + 3*f**2/2 + f - 4. Let w(h) be the second derivative of r(h). Solve w(t) = 0.
0, 1/2, 1
Let q(h) be the third derivative of -13*h**2 + 1/420*h**6 + 0 + 0*h + 1/28*h**4 + 0*h**3 + 1/42*h**5 - 1/735*h**7. Factor q(y).
-2*y*(y - 3)*(y + 1)**2/7
Let t(z) = 2*z**3 - 705*z**2 + 2083*z - 1383. Let i(o) = -3*o**3 + 705*o**2 - 2082*o + 1382. Let n(q) = -3*i(q) - 2*t(q). Factor n(d).
5*(d - 138)*(d - 2)*(d - 1)
Let u(m) = -11*m + 99. Let x be u(6). Let s be x/6 - (-2 - -7). Factor -1/8*y**2 - 5/8*y - s.
-(y + 1)*(y + 4)/8
Let p be 312/(-32) - (-5)/(-20). Let c be (-74)/(-165) + p/55. Find q, given that -2/15 + c*q - 2/15*q**2 = 0.
1
Let b(p) = -p - 2*p + 41 + 5*p. Let z be b(-8). Determine c so that -4*c**2 + 9*c**2 - 5*c**3 - 2 - z*c + 15*c**2 + 12 = 0.
1, 2
Suppose 0 = 4*m + 4 - 12. Suppose 5*z + 3 = u, 12 = 2*z + 2*u + m*u. Determine p, given that -4*p**4 + 2*p**3 + z*p**5 - 4*p**5 - 2*p**3 = 0.
-1, 0
Let i(h) = 2*h + 12. Let p be i(19). Let g be p/16 - (-7)/(-56). Factor -5*q**3 - 209*q**2 - g + 3 + 189*q**2.
-5*q**2*(q + 4)
Suppose 11*m - 10*m - 13 = 0. Let a(g) = -26*g**2 - 161*g + 22. Let h(f) = -53*f**2 - 323*f + 41. Let v(w) = m*a(w) - 6*h(w). Factor v(t).
-5*(t + 8)*(4*t - 1)
Let r(u) be the second derivative of -u**5/4 - 35*u**4/12 - 35*u**3/3 - 20*u**2 + 1799*u. What is v in r(v) = 0?
-4, -2, -1
Determine v, given that 0*v + 192 - 3/4*v**2 = 0.
-16, 16
Let g(s) be the third derivative of -s**6/220 + 12*s**5/5 + 53