ose 30*p = 45*p. Let k(r) be the first derivative of p*r + 1/8*r**2 - 1/24*r**6 + 1/10*r**5 + 0*r**4 - 1/6*r**3 - 2. Solve k(z) = 0.
-1, 0, 1
Let k(d) be the third derivative of -1/600*d**5 + 0*d - 1/48*d**4 - 1/20*d**3 + 0 - 5*d**2 + 1/1200*d**6. Factor k(g).
(g - 3)*(g + 1)**2/10
Let g(a) = a**5 + 9*a**3 - 2*a**2 + 2*a. Let h(m) = m**5 + m**4 + m**3 + m**2 + m. Let p(w) = g(w) - 2*h(w). Find d such that p(d) = 0.
-4, 0, 1
Suppose 2*y - y - 2 = 0. Let x(a) = -a - 3. Let f be x(-11). Let -12*m**5 - 27*m**4 - 3*m**y - 17*m**3 + 4*m**3 - f*m**3 + 3*m**3 = 0. Calculate m.
-1, -1/4, 0
Let m(g) be the first derivative of g**4/20 + 2*g**3/3 - g**2/10 - 2*g + 163. Factor m(a).
(a - 1)*(a + 1)*(a + 10)/5
Factor 0*a**2 - 9/5*a**3 + 3/5*a**4 + 0 + 0*a.
3*a**3*(a - 3)/5
Let n(a) be the second derivative of 1/18*a**4 + 2/45*a**6 - 1/126*a**7 + 0*a**2 - 1/12*a**5 + 0 - 9*a + 0*a**3. Factor n(d).
-d**2*(d - 2)*(d - 1)**2/3
Let a(n) be the third derivative of -8*n**2 - 1/112*n**8 + 0*n**3 + 6/245*n**7 - 3/280*n**6 - 1/70*n**5 + 0*n + 0 + 0*n**4. Factor a(j).
-3*j**2*(j - 1)**2*(7*j + 2)/7
Let o = -1731 - -1742. Let h(l) be the first derivative of o + 4/7*l + 4/35*l**5 + 8/7*l**2 + 8/7*l**3 + 4/7*l**4. Find m, given that h(m) = 0.
-1
Factor 1 + 0 - 20*s**3 - 12 - 19 + 145*s - 95*s**2.
-5*(s - 1)*(s + 6)*(4*s - 1)
Let r be 81/(-486) + (-2 - (-14)/4). Let a(b) be the second derivative of -2*b**2 - 1/3*b**3 + 4*b + r*b**4 + 0 - 1/2*b**5. Determine t, given that a(t) = 0.
-2/5, 1
Solve -16/5*u - 8*u**2 + 0 - 14/5*u**4 - 36/5*u**3 - 2/5*u**5 = 0.
-2, -1, 0
Let d(t) be the second derivative of -t**7/8820 + t**6/1260 - t**5/420 + 17*t**4/6 - 40*t. Let j(l) be the third derivative of d(l). Factor j(x).
-2*(x - 1)**2/7
Suppose -h - 75 = 2*h. Let y be (-280)/h - 2/10. Factor -x**3 + y*x**4 - 3*x**3 + 2*x**2 - 9*x**4.
2*x**2*(x - 1)**2
Let u be (-4)/18*((-45)/(-100))/(9/(-15)). Find w such that 2/3*w**4 + u*w**5 + 1/2*w**3 + 0 - 2/3*w - 2/3*w**2 = 0.
-2, -1, 0, 1
Let l(a) be the first derivative of -3/4*a**2 + 1/4*a**3 + 0*a - 16. Suppose l(b) = 0. What is b?
0, 2
Let d(h) = -h - 13 + 2 - 30*h + h**2. Let u(q) = q**2 - 21*q - 7. Let l(g) = -5*d(g) + 7*u(g). Determine p so that l(p) = 0.
-3, -1
Factor -7*j**2 + 45 + 83 + 14*j - 86*j + 11*j**2.
4*(j - 16)*(j - 2)
Let j be 2/(-6) + (-25)/30*-1. Let p(u) be the first derivative of 1/4*u**4 - u + 2 - j*u**2 + 1/3*u**3. Suppose p(d) = 0. Calculate d.
-1, 1
Let p(k) be the third derivative of -1/360*k**6 - 1/12*k**4 + 0 - 1/36*k**5 + 0*k**3 + 12*k**2 + 0*k. Determine z, given that p(z) = 0.
-3, -2, 0
Let c be ((-32)/(-176) + (-188)/66)/(-1). Suppose 8*t + 2/3*t**4 + 4*t**3 + c + 26/3*t**2 = 0. What is t?
-2, -1
Let y(x) be the second derivative of x**4/3 - 6*x**3 + 28*x**2 + 5*x + 4. Solve y(l) = 0 for l.
2, 7
Let f be 4/(-6) - (-20)/18. Let w(b) = b**3 + 5*b**2 + 43*b + 113. Let m be w(-3). Factor -2/9*d**m - 2/9*d + f.
-2*(d - 1)*(d + 2)/9
Solve 36 + 2/3*j**2 - 58/3*j = 0.
2, 27
Let y(q) = 776*q - 6982. Let v be y(9). Solve 4/11 + 2/11*s**v + 6/11*s = 0.
-2, -1
Factor -4 - 70/9*s + 2/9*s**3 - 32/9*s**2.
2*(s - 18)*(s + 1)**2/9
Suppose -15*j - 64 = -64. Let u(n) be the third derivative of -1/105*n**6 - 1/245*n**7 + 0 - 1/210*n**5 + j*n**4 + 0*n**3 + 11*n**2 + 0*n. Solve u(a) = 0.
-1, -1/3, 0
Let d = 1282 - 1279. Solve -11/2*c - 1 + 19/2*c**4 + 5*c**5 + 1/2*c**d - 17/2*c**2 = 0.
-1, -1/2, -2/5, 1
Let r(z) be the first derivative of -6 + 1/2*z**4 - 3*z**2 + 0*z**3 + 4*z. What is t in r(t) = 0?
-2, 1
Solve -33/2 - 65/2*g - 31/2*g**2 + 1/2*g**3 = 0.
-1, 33
Let s(y) = -3*y**4 + 5*y**2 + 2*y. Let h(z) = 6*z**4 - 9*z**2 - 3*z. Suppose 7*k = 6*k - 4. Let t(x) = k*h(x) - 9*s(x). Factor t(d).
3*d*(d - 2)*(d + 1)**2
Let a(y) be the first derivative of -y**6/54 - y**5/5 + 11*y**4/18 - 2*y**3/27 - 7*y**2/6 + 11*y/9 - 12. Factor a(c).
-(c - 1)**3*(c + 1)*(c + 11)/9
Let l(i) = -i**5 + 2*i**4 + i**3 - i - 1. Let s(f) = -6*f**5 - 36*f**4 - 24*f**3 + 12*f**2 + 15*f + 3. Let g(x) = -3*l(x) - s(x). What is u in g(u) = 0?
-2, -1, 0, 2/3
Let c(z) be the first derivative of 3*z**6/40 - z**5/30 - 3*z**4/8 + z**3/3 - 13*z**2/2 - 10. Let a(n) be the second derivative of c(n). Factor a(d).
(d - 1)*(d + 1)*(9*d - 2)
Factor 55/4*v**2 + 5/4*v**3 + 25/2*v + 0.
5*v*(v + 1)*(v + 10)/4
Let y(b) be the first derivative of b**3/12 + 17*b**2/8 - 19*b/2 + 247. Factor y(x).
(x - 2)*(x + 19)/4
Let r = 175/18 + -443/90. Determine t, given that -2*t**2 + r + 16/5*t - 2/5*t**3 = 0.
-6, -1, 2
Let m(b) = b**2 - 3. Let q(u) = -u + 2. Let r(p) = -m(p) - 6*q(p). Factor r(y).
-(y - 3)**2
Suppose -112 - 44 = -11*t - 101. Factor 4/3*j + 0*j**4 + 0*j**2 - 8/3*j**3 + 0 + 4/3*j**t.
4*j*(j - 1)**2*(j + 1)**2/3
Let b = 355/6 - 146/3. Let g = b + -143/14. Determine s, given that g + 2/7*s**2 - 4/7*s = 0.
1
Factor 1/2*h**2 + 0 - 1/2*h**3 + 3*h.
-h*(h - 3)*(h + 2)/2
Let k(b) = b - 5. Let t be k(10). Let u(f) be the first derivative of 0*f + 0*f**2 + 3 - 3/25*f**t - 1/5*f**3 - 3/10*f**4. Suppose u(c) = 0. Calculate c.
-1, 0
Let j(r) = -2*r**3 - 35*r**2 + 101*r + 23. Let l be j(-20). Suppose 4/3 + 14/3*k + 4/3*k**l + 16/3*k**2 - 2/3*k**5 - 4/3*k**4 = 0. Calculate k.
-1, 2
Let b(s) = -s**3 + 1. Let n(x) = -5*x**2 - 10*x + 5. Let g = -23 + 24. Let r(z) = g*n(z) - 5*b(z). Find v such that r(v) = 0.
-1, 0, 2
Let o = 24746/39 + -8240/13. Factor 1/3*k**3 - o*k**2 + 2/3 - 1/3*k.
(k - 2)*(k - 1)*(k + 1)/3
Let d(v) = v**2 - 6*v - 22. Let m be d(9). Let w(k) be the second derivative of 1/15*k**6 + 1/2*k**4 + 0 + 5*k + 1/3*k**3 + 3/10*k**m + 0*k**2. Factor w(a).
2*a*(a + 1)**3
Factor -14*p + 2*p - 6*p - 3*p**2 + 0*p**3 + 15*p**3.
3*p*(p + 1)*(5*p - 6)
Let i = -4171/2 - -1980. Let x = 107 + i. Factor 6*w - 6 - x*w**2.
-3*(w - 2)**2/2
Suppose 0*a**2 - 3/5*a**3 + 1/5*a**5 + 0 + 2/5*a**4 + 0*a = 0. Calculate a.
-3, 0, 1
Let p(f) = -808*f. Let r be p(0). Solve 45/7*c**3 - 39/7*c**2 + 3/7*c**5 - 3*c**4 + 12/7*c + r = 0 for c.
0, 1, 4
Let j(s) be the second derivative of -1/165*s**6 + 1/22*s**5 - 1 + 0*s**2 + 4/33*s**3 - 4/33*s**4 - 6*s. Let j(c) = 0. What is c?
0, 1, 2
Let r = -3045/2 - -1525. Find x, given that 5 + 0*x**2 + r*x**3 - 15/2*x = 0.
-2, 1
Let r(p) = 26*p**2 - 592*p + 5415. Let w(k) = 9*k**2 - 198*k + 1805. Let f(n) = 4*r(n) - 11*w(n). Factor f(u).
5*(u - 19)**2
Suppose -73/3*s + 4 - 16/3*s**4 - 32/3*s**3 + 109/3*s**2 = 0. Calculate s.
-4, 1/4, 3/4, 1
Let i(k) be the first derivative of -2*k**3/57 + 28*k**2/19 - 392*k/19 + 39. Factor i(t).
-2*(t - 14)**2/19
Let d = 16 + -12. Let w(h) = -4*h**3 + d - h + 5*h**3 - 4*h. Let g(t) = -2*t**3 - t**2 + 4*t - 3. Let u(s) = 4*g(s) + 3*w(s). Factor u(n).
-n*(n + 1)*(5*n - 1)
Solve 3*m + 6*m**2 - 36*m**3 + 46*m**3 - 7*m**3 = 0.
-1, 0
Let t(q) = q**2 - 13*q + 26. Let c be t(11). Factor -4*l - 5*l**3 + 2*l**2 + l**4 + 2*l**3 + c*l.
l**2*(l - 2)*(l - 1)
Let f = 4/815 - -127/7335. Let w(x) be the third derivative of 8*x**2 + f*x**3 + 0*x + 1/900*x**6 + 0 - 1/180*x**4 - 1/450*x**5. Solve w(h) = 0.
-1, 1
Let a(b) = -52*b**4 - 510*b**3 + 382*b**2 + 180*b. Let i(l) = -35*l**4 - 340*l**3 + 255*l**2 + 120*l. Let h(d) = 5*a(d) - 7*i(d). Solve h(q) = 0 for q.
-12, -1/3, 0, 1
Suppose -4*u + 37*u = 66. Let o be 15/9*(u + (-44)/40). Factor 9/2*t + 3 + o*t**2.
3*(t + 1)*(t + 2)/2
Let q(t) be the second derivative of 3*t**5/20 - 183*t**4/4 + 11163*t**3/2 - 680943*t**2/2 - 26*t + 1. Factor q(o).
3*(o - 61)**3
Suppose 6 = 4*y - y - 3*d, 0 = 5*y + 3*d - 26. Factor 39*w**4 - w**2 + 38*w**4 - 76*w**y.
w**2*(w - 1)*(w + 1)
Let h(a) be the second derivative of 0 - 3*a**2 + 13/2*a**3 - 5*a - 11/5*a**6 + 5/14*a**7 + 57/10*a**5 - 8*a**4. Find d, given that h(d) = 0.
2/5, 1
Let u be (2 + -4)/6*567/(-63). Factor 4/15*g**2 - 2/15*g**u - 16/15 + 8/15*g.
-2*(g - 2)**2*(g + 2)/15
Let x(q) be the first derivative of -5*q**6/6 + q**5 + 5*q**4/4 - 5*q**3/3 - 76. Let x(b) = 0. What is b?
-1, 0, 1
Let 0 - 12*j + 1/4*j**4 - 11*j**2 - 2*j**3 = 0. Calculate j.
-2, 0, 12
Factor -2/7*c**5 + 12/7*c**3 - 2/7*c**4 + 6/7 + 4*c**2 + 22/7*c.
-2*(c - 3)*(c + 1)**4/7
Solve 32174 + 714*n + 35248 - 24939 + 3*n**2 = 0.
-119
Let o(m) = -m. Let k(j) = 2*j**2 - 27*j + 128. Let a(i) = -k(i) - 5*o(i). Find y such that a(y) = 0.
8
Suppose -10*y + 456 = -12*y. Let q be 3*(y/(-54) + -4). What is z in q*z**2 