1*p**4/12 + 26*p. Let d(o) be the third derivative of q(o). Factor d(w).
w**2*(w + 7)/10
Let t(s) = -75*s + 302. Let w be t(4). Factor -1/2*b**3 - 1/2 + 1/2*b**w + 1/2*b.
-(b - 1)**2*(b + 1)/2
Let d = 37 - 27. Suppose -5*m = -k + 5*k + d, -k - 2*m - 4 = 0. Let -56/9*n**4 + 22/9*n - 4/9 - 82/9*n**3 + k*n**2 = 0. What is n?
-1, 1/4, 2/7
Suppose -4*c + 12 = -b, c - 2*b = -c + 12. Suppose -4*r - s = -13, -1 - 8 = -c*r - s. Determine u so that 0 - 2/3*u**3 - 4/3*u - r*u**2 = 0.
-2, -1, 0
Let p(q) be the third derivative of -q**6/240 - q**5/120 + q**4/4 + 763*q**2. Find x, given that p(x) = 0.
-4, 0, 3
Let m(q) = -65*q**4 + 350*q**3 - 585*q**2 + 300*q - 40. Let h(w) = 5*w**4 - 27*w**3 + 45*w**2 - 23*w + 3. Let x(l) = -40*h(l) - 3*m(l). Factor x(s).
-5*s*(s - 4)*(s - 1)**2
Let i(x) be the second derivative of x**4/72 + 103*x**3/36 + 17*x**2/2 + 24*x. Factor i(o).
(o + 1)*(o + 102)/6
Let f(a) be the first derivative of a**5 - 5*a**4/2 - 5*a**3 + 135. Factor f(u).
5*u**2*(u - 3)*(u + 1)
Let n(t) be the first derivative of t**6/30 - t**5/20 - t**4/4 + t**3/6 + t**2 + t + 15. Let z(k) be the first derivative of n(k). Let z(j) = 0. Calculate j.
-1, 1, 2
Let v(u) be the third derivative of 0*u**4 - 1/10*u**5 + 0*u**6 + 0 + 0*u - 10*u**2 + 1/70*u**7 + 1/2*u**3. Determine m, given that v(m) = 0.
-1, 1
Let f(s) be the third derivative of -s**6/1800 + s**4/120 - 4*s**3/3 + 49*s**2. Let w(j) be the first derivative of f(j). Factor w(h).
-(h - 1)*(h + 1)/5
Let c(l) be the first derivative of 10*l**4/3 + 124*l**3/9 + 46*l**2/3 + 8*l/3 - 65. Suppose c(p) = 0. Calculate p.
-2, -1, -1/10
Let m be (-14)/168 - 2041/(-2028). Find d, given that 10/13*d**4 - 2/13*d**5 - 6/13 - 4/13*d**2 + 14/13*d - m*d**3 = 0.
-1, 1, 3
Let u = 132/193 - 10/579. Factor 1/3*f + 1/3*f**2 - u.
(f - 1)*(f + 2)/3
Let v(g) be the first derivative of -11 + 21/20*g**4 - 2/5*g**3 + 0*g - 3/10*g**2 - 12/25*g**5. Find z, given that v(z) = 0.
-1/4, 0, 1
Let k(a) be the second derivative of -a**8/560 + 3*a**7/280 - a**5/10 - a**3/6 - 9*a. Let u(w) be the second derivative of k(w). Factor u(x).
-3*x*(x - 2)**2*(x + 1)
Suppose 25*z - 4*z = -27*z + 96. Find y such that 2/5*y**4 + 1/5*y**5 + 0*y + 0*y**z + 1/5*y**3 + 0 = 0.
-1, 0
Let u(s) = s**3 - 5*s**2 - s + 6. Let v be u(5). Let g = -2738 - -5477/2. Let 6*z**2 - 9/2*z**3 - g*z - v = 0. What is z?
-1/3, 2/3, 1
Let a(k) be the third derivative of 1/300*k**5 + 27*k**2 + 0*k + 1/40*k**4 + 0*k**3 + 0. Factor a(z).
z*(z + 3)/5
Factor 1487 - 38*l**3 - 5*l**4 - 200*l + 513 - 1995*l**2 + 238*l**3.
-5*(l - 20)**2*(l - 1)*(l + 1)
Let s(h) be the third derivative of -h**7/8820 - h**6/2520 + 19*h**4/24 - 7*h**2. Let g(t) be the second derivative of s(t). Determine l, given that g(l) = 0.
-1, 0
Let b be 3 + 3 + 0 + -4. Let d = b + 0. Factor 8 - 3 + w - w**3 + 6*w**d + 3 - 13*w.
-(w - 2)**3
Suppose 2*v - 34 = -24. Let t(x) = -2*x**2 + 6*x - 9. Let d(r) = r**2 - 3*r + 5. Let p(s) = v*d(s) + 3*t(s). Factor p(w).
-(w - 2)*(w - 1)
Let v(j) be the first derivative of -j**5/40 + 5*j**4/32 + j**3/8 - 17*j**2/16 + 5*j/4 + 135. Determine h so that v(h) = 0.
-2, 1, 5
Let o(j) = j**4 + j**3 + j**2 + 1. Let w(y) = -y + 8. Let h be w(-10). Let t(u) = 8*u**4 + 12*u**3 + 7*u**2 + 9. Let c(i) = h*o(i) - 2*t(i). Factor c(l).
2*l**2*(l - 2)*(l - 1)
Suppose 2*p = 4*p - 3*p. Suppose p + 6 = 3*u. Factor 10/3*k**3 + 0 + 8/3*k**u - 2/3*k.
2*k*(k + 1)*(5*k - 1)/3
Suppose 0*g + 2*v = -4*g - 8, -2*g - 5*v + 4 = 0. Let h be g/(-9)*0 + 3 + -1. Factor 0 - 12/13*c**4 - 24/13*c**h + 2*c**3 + 2/13*c**5 + 8/13*c.
2*c*(c - 2)**2*(c - 1)**2/13
Let s(t) be the third derivative of 11*t**8/560 + 13*t**7/175 + t**6/25 - 11*t**5/50 - 19*t**4/40 - 2*t**3/5 + 18*t**2. Solve s(n) = 0 for n.
-1, -4/11, 1
What is f in -158*f**4 + 4*f**2 + 38*f**3 - 60*f + 22*f**3 + 154*f**4 = 0?
-1, 0, 1, 15
Let l(c) be the first derivative of c**6/240 - c**4/16 + c**3/6 + c**2 - 17. Let u(p) be the second derivative of l(p). Let u(r) = 0. Calculate r.
-2, 1
Let i = -17 - -33. Let q be 6 + (-100)/i - 70/(-24). Solve -4/3*w**3 + q + 4*w + 0*w**2 = 0 for w.
-1, 2
Let s(d) = 11*d - 41. Let w be s(4). Factor 6*c**5 + 35*c**4 - 4*c**5 + 26*c + w*c**5 + 110*c**2 + 15 + 39*c + 90*c**3.
5*(c + 1)**4*(c + 3)
Let h(j) = j**2 - 2*j + 4. Let v be h(0). Suppose -d + 0*w + 16 = -v*w, -9 = 3*w. Factor 3*t - t**3 - d*t + 0*t + 2*t**2.
-t*(t - 1)**2
Let c(t) be the second derivative of -t**5/80 + t**3/2 + 2*t**2 - 15*t + 11. Suppose c(l) = 0. What is l?
-2, 4
Let v(w) be the second derivative of 0 + 0*w**2 + 1/27*w**3 + 26*w - 1/45*w**5 - 1/54*w**4. Factor v(f).
-2*f*(f + 1)*(2*f - 1)/9
Let v(n) be the first derivative of n**4/22 - 14*n**3/33 + 8*n**2/11 + 32*n/11 - 102. Let v(s) = 0. Calculate s.
-1, 4
Let i = -49 - -53. Let b(d) = d + 8. Let f be b(-6). Suppose 42*h - 66*h**2 + 15*h**3 - 4 + f*h**3 - 12*h + 41*h**3 - 18*h**i = 0. What is h?
2/9, 1
Let q(n) be the second derivative of n**7/42 - n**6/90 - n**5/12 + n**4/36 + n**3/9 + 8*n - 2. Solve q(h) = 0 for h.
-1, -2/3, 0, 1
Factor 267 - 49*a + 51*a + 5*a**2 + 183 + 40*a - 147*a.
5*(a - 15)*(a - 6)
Let z(d) be the third derivative of d**7/98 + 3*d**6/40 - d**5/140 - 3*d**4/8 - 2*d**3/7 + 6*d**2 + 45. What is b in z(b) = 0?
-4, -1, -1/5, 1
Let t = -100 + 501/5. Let c(a) be the first derivative of -1/2*a**4 + a**2 + t*a**5 + 0*a**3 - 2 - a. Determine v, given that c(v) = 0.
-1, 1
Let m(h) be the third derivative of h**5/180 - 2*h**4/9 + 14*h**3/9 + 30*h**2. Suppose m(s) = 0. What is s?
2, 14
Let r(z) = -4*z**2 - 44*z - 16. Let h(f) = f**2 + 15*f + 5. Let p(i) = 8*h(i) + 3*r(i). Solve p(d) = 0.
-2, -1
Let x = 711/61 - -2/183. Factor 245/6 + x*p + 5/6*p**2.
5*(p + 7)**2/6
Let u(h) be the first derivative of -h**6/30 + 2*h**4/3 + 3*h**2/2 - 13. Let j(p) be the second derivative of u(p). Let j(c) = 0. Calculate c.
-2, 0, 2
Let t(r) be the third derivative of -r**6/8 + 43*r**5/12 + 155*r**4/24 - 25*r**3/2 - 314*r**2. Factor t(a).
-5*(a - 15)*(a + 1)*(3*a - 1)
Let j(s) = -s**3 - 10*s**2 - 10*s + 11. Let a be j(-9). Suppose -a = -5*g - 0*g. Suppose -16/5*h - 6/5*h**2 + 2*h**3 + 8/5 + 4/5*h**g = 0. Calculate h.
-2, 1/2, 1
Suppose -3*i = -6, 5*r - 3*r = -5*i + 14. Suppose 0 = -7*h + r*h + 40. Let 0*y**2 - 3 - 2*y**4 + h*y + 1 - 12*y**2 + 8*y**3 = 0. Calculate y.
1
Let l = -1685 - -11797/7. Find n such that 8/7*n**2 + 0 - l*n**4 - 2/7*n**3 + 8/7*n = 0.
-2, -1, 0, 2
Let h = -593 - -5341/9. Let j(z) be the first derivative of -1 + 2/3*z + 1/3*z**2 - h*z**3. Factor j(a).
-2*(a - 1)*(2*a + 1)/3
Find d, given that -5 - 13 - 14 + 83*d + 5*d**3 - 46*d**2 - 10 = 0.
1, 6/5, 7
Let r(w) be the second derivative of -w**6/120 - w**5/80 + w**4/48 + w**3/24 - 5*w - 3. Factor r(v).
-v*(v - 1)*(v + 1)**2/4
Let t = -40 - -58. Factor -v**4 + 8*v**3 + 8*v**2 - 4 - 3*v**4 - 4*v**5 - t*v + 14*v.
-4*(v - 1)**2*(v + 1)**3
Let x(f) be the second derivative of -f**5/70 + 215*f**4/14 - 46225*f**3/7 + 9938375*f**2/7 + f. Factor x(i).
-2*(i - 215)**3/7
Let p(w) = w - 5. Let d = -31 - -38. Let j be p(d). Let 0*s - 6/11*s**3 - 6/11*s**4 - 2/11*s**5 + 0 - 2/11*s**j = 0. Calculate s.
-1, 0
Let y(b) be the first derivative of -2*b**3/3 + 7*b**2 - 127. What is a in y(a) = 0?
0, 7
Let r(n) be the first derivative of -n**6/12 - 7*n**5/10 + n**4/8 + 55*n**3/6 + 21*n**2 + 18*n - 806. Suppose r(d) = 0. What is d?
-6, -2, -1, 3
Let h be ((-141)/188)/(2/(-16)). Let y(q) be the second derivative of 0*q**3 + 0*q**2 + h*q - 1/6*q**4 + 0 + 1/10*q**5. Solve y(w) = 0.
0, 1
Let d(t) be the first derivative of t**6/2 - 12*t**5/5 + 3*t**4/4 + 6*t**3 - 107. Solve d(v) = 0.
-1, 0, 2, 3
Let m(z) = z**4 + 2*z**3 - z - 1. Let u be 8/10 - (2 + 110/(-50)). Let n(j) be the first derivative of j**2/2 + 1. Let g(h) = u*n(h) - m(h). Factor g(l).
-(l - 1)*(l + 1)**3
Let v(f) be the third derivative of f**7/5040 + f**6/240 + 3*f**5/80 + 3*f**4/16 + 2*f**3/3 + 25*f**2. Let c(i) be the first derivative of v(i). Solve c(o) = 0.
-3
Solve -12*m**3 - 16 + 7*m + 20*m**2 + m + 9*m - m = 0 for m.
-1, 2/3, 2
Let a(n) be the first derivative of -n**5 + 105*n**4/4 - 270*n**3 + 1350*n**2 - 3240*n + 7. Factor a(j).
-5*(j - 6)**3*(j - 3)
Suppose b - 2*b + 9 = 0. Let i(d) = -3*d**3 - 5*d**2 + 12*d + 2. Let m(a) = -11*a**3 - 20*a**2 + 49*a + 9. Let u(h) = b*i(h) - 2*m(h). Fact