 the third derivative of 0*q**6 + 0 - 3*q**2 + 0*q**5 + 0*q + 1/210*q**7 + 0*q**l + 0*q**4 - 1/336*q**8. Factor s(w).
-w**4*(w - 1)
Let k be (2/(-3))/(2/(-81)). Let q be 87/k - (-2)/(-9). Suppose -j**5 + q*j - 2*j**5 + j**4 + 5*j**4 - 6*j**2 = 0. Calculate j.
-1, 0, 1
Suppose -4 = 4*k + 3*j, -k + 4*j - 21 = -1. Let y be ((-3)/(-2))/((-2)/k). Solve 3*c**3 - 10*c**2 + 8*c**2 + 0*c**y - c**4 = 0.
0, 1, 2
Let a(s) = -6*s**2 + 12*s. Let q(b) = -3*b**2 + 6*b. Suppose 2*p - 4 = -2*p. Suppose -4*n - p = 11. Let g(j) = n*a(j) + 5*q(j). Factor g(w).
3*w*(w - 2)
Let d be (4010/200 + 4/20)/6. Solve 15/8*f**3 + d*f**2 + 3/4 + 3/8*f**4 + 21/8*f = 0.
-2, -1
Suppose -132*w + 12 = -128*w. Suppose -2*a + 12 = -r + 3*r, -2*a = w*r - 15. Solve 0*m + 0*m**2 - 1/3*m**4 + 1/6*m**a + 0 + 1/6*m**5 = 0.
0, 1
Let s(p) = p**2 + 5*p - 3*p**2 + p**2 + 5 - 7*p. Let h be s(-3). Factor 30/7*t**2 - 4/7 + h*t**4 + 38/7*t**3 + 2/7*t.
2*(t + 1)**3*(7*t - 2)/7
Let r(c) be the third derivative of -1/20*c**5 - 8*c**3 + 0*c - 8*c**2 - c**4 + 0. Factor r(i).
-3*(i + 4)**2
Let c(j) = j**3 + j**2 + 4*j + 2. Let v be c(0). Find d, given that -3*d + d + 2*d**2 - 6*d**v + 10*d = 0.
0, 2
Let k be -3*(28/6)/(-7). Let r be (-1)/k - (4 - 6). Solve -1/2*u**4 - r*u**2 + 0 + 1/2*u + 3/2*u**3 = 0 for u.
0, 1
Suppose 0 = -17*p - 122 + 122. Let t(c) be the second derivative of p*c**3 - 1/60*c**5 + 10*c - 1/36*c**4 + 0*c**2 + 0. Solve t(o) = 0.
-1, 0
Let b(a) be the third derivative of a**5/270 + 61*a**4/54 + 3721*a**3/27 + 53*a**2 - 1. Factor b(i).
2*(i + 61)**2/9
Let g(t) be the second derivative of -t**4/96 + 11*t**3/24 - 5*t**2/2 - t - 103. Factor g(v).
-(v - 20)*(v - 2)/8
Determine h, given that -13778 - 3*h**2 - 3*h**2 + 2*h**2 + 332*h + 2*h**2 + 0*h**2 = 0.
83
Let b(c) be the second derivative of -c**4/3 + 2*c**3 - 4*c**2 - 2*c - 2. Find r, given that b(r) = 0.
1, 2
Let r = 6 + -1. Suppose -4*i + 6 = 3*c, -c + 0*i + r*i = -2. Find h, given that 0*h**2 + 10*h - 4 + 14*h + 25*h**3 - 45*h**c = 0.
2/5, 1
Suppose -26*t + 20 = -32. Factor -2/5*w + 2/5*w**t - 2/5*w**4 + 2/5*w**3 + 0.
-2*w*(w - 1)**2*(w + 1)/5
Let w be 39/140 + -2 - (-12)/(-20). Let p = 18/7 + w. Factor p*f**2 - 1/2 - 1/4*f.
(f - 2)*(f + 1)/4
Let -29*m - 7 + 519 + 93*m + 2*m**2 = 0. Calculate m.
-16
Let m(y) = y**3 + y - 1. Let s(r) = -r**3 - 95*r**2 + 394*r + 506. Let f(i) = 6*m(i) + s(i). Suppose f(k) = 0. Calculate k.
-1, 10
Let r(y) be the first derivative of y**4/30 + y**3/5 + 2*y**2/5 - 29*y + 15. Let p(a) be the first derivative of r(a). Suppose p(f) = 0. Calculate f.
-2, -1
Let w(o) = -40*o**4 - 105*o**3 - 45*o**2 + 5*o + 5. Let x(v) = -v**5 + v**4 + 2*v**2 + v + 1. Let f(c) = w(c) - 5*x(c). Determine r so that f(r) = 0.
-1, 0, 11
Suppose 32 = -4*m + q - 65, 3*m + 2*q = -70. Let l be ((-8)/m)/(1/9). Factor 20 - 20 - l*i + 6*i**2 - 3*i**3.
-3*i*(i - 1)**2
Factor 5*t**2 + 41 + 10 + 20 + 5*t + 45 - 216.
5*(t - 4)*(t + 5)
Suppose 24/7 - 2/7*m**2 + 8/7*m = 0. Calculate m.
-2, 6
Let d(k) be the third derivative of k**6/480 + k**5/160 - 5*k**3/6 + 34*k**2. Let p(a) be the first derivative of d(a). Suppose p(h) = 0. What is h?
-1, 0
Let i be (0 + 1 - -6) + (-32 - -29). Factor -i*p**4 - p**3 + p**4 + 2*p**4.
-p**3*(p + 1)
Let j(q) be the second derivative of -q**5/40 - q**4/12 + q**3/4 - 117*q. Solve j(d) = 0 for d.
-3, 0, 1
Let i be 18/((-36)/(-16) - 3). Let o be i/(-20) + 3/(-15). Factor -o - 2 + 2 - 3*d**2 - 3*d - d**3.
-(d + 1)**3
Factor -123/2*f + 249/4 - 3/4*f**2.
-3*(f - 1)*(f + 83)/4
Let b(a) be the third derivative of -a**7/1365 + a**6/260 - a**5/195 + 100*a**2. Factor b(c).
-2*c**2*(c - 2)*(c - 1)/13
Let c(b) be the first derivative of -7*b**6/2 - 3*b**5 + 69*b**4/4 + b**3 - 24*b**2 + 12*b - 235. Determine d so that c(d) = 0.
-2, -1, 2/7, 1
Let q(n) be the first derivative of n**8/12600 - n**7/2100 + n**6/1350 + 4*n**3/3 - 11. Let r(s) be the third derivative of q(s). Determine o so that r(o) = 0.
0, 1, 2
Let b = 5069 - 35450/7. Factor 0 - 6/7*d + 60/7*d**3 - 3*d**2 - b*d**4.
-3*d*(d - 1)**2*(11*d + 2)/7
Suppose 61/5 - 156/5*r**4 + 19*r**2 + 1/2*r**5 + 212/5*r**3 - 429/10*r = 0. What is r?
-1, 2/5, 1, 61
Let r(l) = 2*l**2 + 27*l + 57. Let c be r(-11). Let o(h) be the second derivative of 0*h**c + 4*h - 3/20*h**4 - 7/100*h**5 + 0 - 1/15*h**3. Factor o(y).
-y*(y + 1)*(7*y + 2)/5
Let j be 19*(-84)/19950 + (-2)/(-25). Find z, given that 0*z**2 + j*z + 3/5*z**3 - 1/5*z**5 - 2/5*z**4 + 0 = 0.
-3, 0, 1
Let z(d) be the third derivative of 1/30*d**5 + 0 + 2*d**3 + 0*d + 5/12*d**4 + 26*d**2. Let z(w) = 0. Calculate w.
-3, -2
Let s(v) be the third derivative of 0 - 1/40*v**6 + 1/20*v**5 - 1/2*v**3 + 1/8*v**4 + 0*v + 13*v**2. Factor s(q).
-3*(q - 1)**2*(q + 1)
Let t = 4381/72 - 485/8. Suppose -10/9*p - t*p**2 - 8/9 = 0. What is p?
-4, -1
Suppose 28*p - 5*p**2 + 29*p - 5*p + 3*p = 0. What is p?
0, 11
Let a(u) be the third derivative of u**8/6720 + u**7/1680 - u**6/120 + u**5/60 + 16*u**2. Let z(q) be the third derivative of a(q). Find w such that z(w) = 0.
-2, 1
Let a(t) = t**4 - t**3 - 2*t**2 + t + 1. Let i(h) = -h**4 + h**3 - h**2 - h + 2. Let w(v) = 2*a(v) - i(v). Factor w(l).
3*l*(l - 1)**2*(l + 1)
Let l(r) = -2*r**2 + 121*r - 925. Let a be l(9). Let -2/11*i - 6/11*i**a - 6/11*i**3 + 0 - 2/11*i**4 = 0. Calculate i.
-1, 0
Let i = 3791 - 3787. Find o, given that -40/13*o**2 + 0 - 24/13*o**i + 76/13*o**3 + 6/13*o - 18/13*o**5 = 0.
-3, 0, 1/3, 1
Suppose 0 = -14*z + 9*z + 20. Let r be (3/2)/((18/z)/9). Solve -4/5*f**r + 0 + 3/5*f**2 + 1/5*f**4 + 0*f = 0 for f.
0, 1, 3
Let x(t) be the first derivative of -t**3 + 15*t**2/2 - 18*t - 10. Factor x(s).
-3*(s - 3)*(s - 2)
Let b(k) = -5*k**3 + 4*k**2 - 30*k - 6. Let y(q) = -6*q**3 + 4*q**2 - 33*q - 7. Let a(h) = -7*b(h) + 6*y(h). Factor a(l).
-l*(l - 2)*(l + 6)
Suppose -2/5*z**3 - 54/5*z**2 - 184/5 - 192/5*z = 0. Calculate z.
-23, -2
Let p = 42 - 28. Let s(m) = -m**4 - m**3 + m + 1. Let o(i) = -6*i**4 - 5*i**3 - i**2 + 5*i + 7. Let t(c) = p*s(c) - 2*o(c). Determine u so that t(u) = 0.
-2, -1, 0, 1
Let o = 51 - 49. Factor 4*n + 5 - 3*n + 1 + 7*n + o*n**2.
2*(n + 1)*(n + 3)
Let f = 13 - 16. Let d(j) = 2*j + 9. Let p be d(f). Suppose 6*i**2 + 2*i**3 - 3*i**p - 5*i**2 - 3*i**2 - i = 0. What is i?
-1, 0
Factor 0 - 585/4*t**2 + 81/4*t**3 + 507/4*t - 3/4*t**4.
-3*t*(t - 13)**2*(t - 1)/4
Let a(v) be the third derivative of v**8/560 - 3*v**7/350 - 41*v**6/200 - 21*v**5/20 - 13*v**4/5 - 18*v**3/5 + 41*v**2. Find u such that a(u) = 0.
-2, -1, 9
Suppose -64 = 3*z - 19*z. Let q(d) be the third derivative of 0 + 0*d + 1/156*d**z + 0*d**3 + 1/130*d**5 - 1/195*d**6 - 5*d**2. Factor q(c).
-2*c*(c - 1)*(4*c + 1)/13
Suppose 0 = 3*f - 24 + 12. Suppose -f*m + 28 = -4. Solve 0*o - 4*o + m*o + o**2 + 4 = 0.
-2
Suppose 0 = -2*p - 2*t, 4*p - 3*t = -0*p + 35. Suppose 4*g**3 - g**2 + 2*g - p*g**2 + 1 - g**2 + 0*g**3 = 0. What is g?
-1/4, 1
Suppose -8*m + 5*m = -9. Let t(f) = -f**3 - f**2 + f - 1. Let z(p) = -12*p**3 + 8*p - 10. Let j(n) = m*z(n) - 21*t(n). Factor j(a).
-3*(a - 1)**2*(5*a + 3)
Let c(h) be the third derivative of -h**6/1440 - h**5/160 - h**4/48 - 7*h**3/6 - 5*h**2. Let p(o) be the first derivative of c(o). Factor p(l).
-(l + 1)*(l + 2)/4
Factor 10/3*v**3 - 2/9*v**4 + 0*v + 0 - 52/9*v**2.
-2*v**2*(v - 13)*(v - 2)/9
Factor -30/7 - 58/7*d + 4/7*d**2.
2*(d - 15)*(2*d + 1)/7
Let q = -258 + 274. Let u be 36/q*(-12)/(-18). Factor o + 0*o**3 - 1/2*o**4 + u*o**2 + 0.
-o*(o - 2)*(o + 1)**2/2
Factor 72/5*z**2 - 81/5*z + 3/5*z**3 - 30.
3*(z - 2)*(z + 1)*(z + 25)/5
Let y(d) be the first derivative of -5*d**6/6 + 5*d**5 + 10*d**4 - 20*d**3 + 19. Find q such that y(q) = 0.
-2, 0, 1, 6
Let v be (-5 - -2)/(-6) - 27/54. Let q(i) be the third derivative of 0 + 2/35*i**7 + 1/3*i**4 - 3*i**2 + 4/15*i**6 + 0*i**3 + 7/15*i**5 + v*i. Factor q(r).
4*r*(r + 1)**2*(3*r + 2)
Let m be (-50835)/15*(-47)/10521. Let i = m + 5/1503. Find p, given that -i*p**2 - 54/7*p**4 + 10/7*p**5 + 110/7*p**3 - 8/7 + 48/7*p = 0.
2/5, 1, 2
Let r(x) be the third derivative of -x**7/70 - 3*x**6/20 + 7*x**2 + 9. Factor r(b).
-3*b**3*(b + 6)
Let k = 6695 + -6692. Solve 2/5*n**4 + 8/5*n**k + 0 + 0*n + 0*n**2 = 0 for n.
-4, 0
Let y = 11 - -17. Suppose 0*w - y = -4*w. Factor -2*s**4 - 2 - 5*s - 6*s**2 - 3*s**2 + 1 + 0*s**3 - w*s**3.
-(s + 1)**3*(2*s + 1)
Let