= 0.
-1, 0
Let k = -391 + 2739/7. Let y(a) be the first derivative of 2/7*a**3 - 3/7*a**2 + k*a + 5 - 1/14*a**4. Factor y(q).
-2*(q - 1)**3/7
Find w such that 2069*w - 1071*w + 35*w**2 - 6 + 11 + 35 - 1148*w = 0.
2/7, 4
Let y be -15 - -9 - -3*2. Suppose y*r - 8 = -4*r. Factor 48/5 + 3/5*a**r + 24/5*a.
3*(a + 4)**2/5
Factor 1/2*j**3 + 25/2*j**2 + 0*j + 0.
j**2*(j + 25)/2
Let z(k) be the first derivative of 0*k**2 - 5 - 4*k - 1/30*k**3 + 1/60*k**4. Let b(w) be the first derivative of z(w). Factor b(f).
f*(f - 1)/5
Let m(k) be the second derivative of k**6/30 + k**5 + 37*k**4/3 + 80*k**3 + 288*k**2 - 73*k. Find d such that m(d) = 0.
-6, -4
Let y be 4/(-2) - (-20)/5. Suppose -y*h + 10 = -5*j + 2*h, -2*j + 2*h = 6. Let -4/9 - 52/9*v**j - 10/3*v**3 - 26/9*v = 0. Calculate v.
-1, -2/5, -1/3
Let t(s) be the first derivative of -9*s**3/5 - 28*s**2/5 - 4*s/5 - 436. Find f, given that t(f) = 0.
-2, -2/27
Let h(q) = -7*q - 99. Let j be h(-15). Let x(c) be the first derivative of 1/6*c**3 - 1/4*c - 1/20*c**5 + 1/8*c**4 - 1/24*c**j - 7 - 1/8*c**2. Factor x(r).
-(r - 1)**2*(r + 1)**3/4
Let c(k) be the third derivative of 4/15*k**3 + 0 + 1/15*k**4 + 1/150*k**5 - 2*k - 51*k**2. Factor c(a).
2*(a + 2)**2/5
Suppose -3*r - 264 = -25*r. Let d be (126/r)/(-7) - -4. Determine p, given that -d*p - 1/2*p**3 - 2*p**2 - 1 = 0.
-2, -1
Let u(v) be the first derivative of v**6/1800 - v**5/200 + v**4/60 - 25*v**3/3 + 27. Let l(i) be the third derivative of u(i). Factor l(g).
(g - 2)*(g - 1)/5
Suppose 3*i + 17*i = 0. Let q(j) be the second derivative of i + 2/15*j**5 - 1/3*j**4 + 4/9*j**3 - 1/3*j**2 - 2*j - 1/45*j**6. Factor q(h).
-2*(h - 1)**4/3
Let j(c) be the second derivative of -c**7/126 - 2*c**6/45 + c**5/60 + c**4/9 - 4*c + 1. Let j(x) = 0. What is x?
-4, -1, 0, 1
Let w(n) be the second derivative of -n**4/20 + 3*n**3/5 - 3*n**2/2 - 65*n. Factor w(x).
-3*(x - 5)*(x - 1)/5
Let b be (21/2)/((-3)/28). Let i = -98 - b. Factor 0*h**2 + 0*h**4 + 2/19*h**5 - 2/19*h**3 + i + 0*h.
2*h**3*(h - 1)*(h + 1)/19
Let v(p) be the second derivative of p**6/15 + p**5/2 - 11*p**4/6 - 11*p**3 - 18*p**2 + 173*p. Suppose v(l) = 0. What is l?
-6, -1, 3
Find s such that -s**3 + 142*s**2 + 4*s**3 - 151*s**2 = 0.
0, 3
Let r(a) be the first derivative of a**6/120 + 5*a**2/2 + 3. Let l(s) be the second derivative of r(s). Solve l(h) = 0.
0
Let z(u) be the third derivative of -u**8/60480 - u**7/3024 + u**6/360 + 5*u**5/12 - 2*u**2. Let n(j) be the third derivative of z(j). Factor n(b).
-(b - 1)*(b + 6)/3
Let s = 0 - -1. Suppose 0 = 99*x - 113*x + 56. Factor -2*t**2 + 0 + x*t - 1 - s.
-2*(t - 1)**2
Let v = 233/210 + -33/35. Let o(d) be the second derivative of 0 - 8*d - 1/4*d**3 + 0*d**2 - 1/40*d**5 - v*d**4. Factor o(g).
-g*(g + 1)*(g + 3)/2
Let c(u) be the first derivative of 2/13*u**4 - 10/13*u**3 - 30 + 8/13*u**5 - 8/13*u**2 - 2/13*u. Find b, given that c(b) = 0.
-1/2, -1/5, 1
Let v(x) = 13*x**2 + 105*x + 101. Let s be v(-7). Factor -s*m + 9/4 + 3/4*m**2.
3*(m - 3)*(m - 1)/4
Suppose 3*d - 33 = 4*m, -2*d - 79 = 6*m - 49. Factor 2/5*t**2 + 0*t + 0 + 1/5*t**5 - 3/5*t**d + 0*t**4.
t**2*(t - 1)**2*(t + 2)/5
Let m = -9 + 10. Let l be m + 6*(-1)/(-2). Factor -4*d**2 - d**2 - 3*d - 2 + l*d**2 + 0*d**2.
-(d + 1)*(d + 2)
Suppose 8 = 4*l - 0. Determine a, given that a**3 - 13*a**3 + 2*a - 12*a**l - 6*a - 4*a**4 = 0.
-1, 0
Suppose 0 = -26*z + 624 - 598. Let r(y) be the first derivative of -y + 1/12*y**3 - z + 0*y**2. Factor r(d).
(d - 2)*(d + 2)/4
Suppose -19*i + 15*i = -8. Let j = 512/465 - 30/31. Determine h so that 4/15 - 2/15*h**i - j*h = 0.
-2, 1
Factor 2/15*y**2 + 18/5 - 8/5*y.
2*(y - 9)*(y - 3)/15
Let f(w) be the third derivative of -w**8/168 + 7*w**7/60 - 49*w**6/60 + 143*w**5/60 - 10*w**4/3 + 25*w**3/12 + 4*w**2 + 6*w. Suppose f(d) = 0. What is d?
1/4, 1, 5
Let n(c) be the first derivative of 6/25*c**5 - 108/5*c - 69/20*c**4 + 26 + 72/5*c**2 + 59/5*c**3. Determine t, given that n(t) = 0.
-1, 1/2, 6
Let p(t) = 6*t**3 + 30*t**2 + 11*t - 10. Let w(j) = -j**3 - 6*j**2 - 2*j + 2. Let v(m) = 2*p(m) + 11*w(m). Let h be v(6). Factor -15 + 15 - h*b + 2*b**3.
2*b*(b - 1)*(b + 1)
Let w(f) be the first derivative of 1/21*f**6 - 2/5*f**5 + 15/14*f**4 + 0*f - 30 + 0*f**2 - 6/7*f**3. Factor w(k).
2*k**2*(k - 3)**2*(k - 1)/7
Let l(n) = 2*n - 14. Let y be l(-9). Let c = y - -34. Solve -11*h**4 - 6*h**2 + 22*h**c + h**5 + 3*h**5 - h**4 = 0.
-1, 0, 2
Let r be 12/10 - (-52)/65. Let p(w) be the second derivative of -1/6*w**4 + 2*w**r + 0 + 7*w + 1/3*w**3. Factor p(x).
-2*(x - 2)*(x + 1)
Let x(d) be the second derivative of -d**10/60480 - d**9/15120 + d**7/2520 + d**6/1440 + 5*d**4/6 - 26*d. Let s(y) be the third derivative of x(y). Factor s(c).
-c*(c - 1)*(c + 1)**3/2
Let q be (1 + -2 + 6)/(40/(-16))*-2. Factor -2000/7*w**5 - 200/7*w**q + 180*w**3 - 486/7*w**2 + 54/7*w + 0.
-2*w*(w + 1)*(10*w - 3)**3/7
Let o(x) be the first derivative of 2/3*x**3 + 0*x + 3 + 3/2*x**2 - 1/4*x**4. Factor o(f).
-f*(f - 3)*(f + 1)
Suppose -2*d - o - o + 82 = 0, 3*d = -4*o + 126. Factor 2*i - 42*i**3 + d*i**3 + 34*i.
-4*i*(i - 3)*(i + 3)
Let f(u) be the third derivative of 5*u**6/96 - 73*u**5/240 + 11*u**4/24 + u**3/6 - 587*u**2. Determine l so that f(l) = 0.
-2/25, 1, 2
Let t(p) = p. Let o(l) = -2*l**2 - 161*l - 3362. Let d(c) = o(c) - 3*t(c). Factor d(m).
-2*(m + 41)**2
Let d(b) be the third derivative of b**8/672 + b**7/20 - b**6/120 - 7*b**5/20 + b**4/48 + 7*b**3/4 - b**2 + 102. Let d(z) = 0. What is z?
-21, -1, 1
Let q(a) = 3*a**3 + 52*a**2 + 18*a + 21. Let l be q(-17). Find r such that -2*r**3 + 0 - 2/3*r + 2/3*r**l + 2*r**2 = 0.
0, 1
Let f be (-6409)/(-57855) + 1 + (-34)/30. Let q = 1079/665 + f. Let 12/5*w**3 + 0 + 8/5*w**4 + q*w**2 + 2/5*w**5 + 2/5*w = 0. What is w?
-1, 0
Let q(l) be the second derivative of l**5/20 + 139*l**4/12 + 1633*l**3/2 + 4761*l**2/2 - 146*l - 1. Factor q(i).
(i + 1)*(i + 69)**2
Let w(k) be the first derivative of -k**6/48 - 11*k**5/40 - 17*k**4/16 + k**3/3 + 10*k**2 + 16*k + 109. Factor w(l).
-(l - 2)*(l + 1)*(l + 4)**3/8
Let z(g) be the first derivative of -3*g**4/4 - 3*g**3 + 6*g**2 + 36*g + 69. Factor z(p).
-3*(p - 2)*(p + 2)*(p + 3)
Let q(l) = l + 2. Let r be q(0). Suppose 3 = -r*j + 1, 5*j - 28 = -3*i. Factor -18*o**4 + 3*o**4 + 5*o**5 + i*o**2 + 11*o**2 - 2*o**2.
5*o**2*(o - 2)**2*(o + 1)
Let j be 2 - (-2 - -3) - (-2 - 0). Let v be 20/(-36) - j/(-3). Factor -2/3*o**4 - 22/9*o**3 - 10/3*o**2 - 2*o - v.
-2*(o + 1)**3*(3*o + 2)/9
Let q(r) be the first derivative of -r**3/6 - 39*r**2/2 + 79*r/2 - 225. Solve q(a) = 0 for a.
-79, 1
Let b(g) = g**2 + 78*g + 225. Let k be b(-3). Solve -2/7*h + k + 1/7*h**2 = 0.
0, 2
Let v = 50/909 + 509/7272. Suppose v*a**3 + 3/8*a**4 - 11/8*a**2 - 1/8*a**5 + 3/2*a - 1/2 = 0. Calculate a.
-2, 1, 2
Let o(q) = -q**4 + q**3 + 1. Let m(s) = 7*s**4 - 7*s**3 - 8*s**2 - 3. Let b(u) = m(u) + 3*o(u). What is k in b(k) = 0?
-1, 0, 2
Let m(u) be the second derivative of 1/51*u**4 - 1/85*u**6 + 0*u**2 - 2*u + 0*u**3 + 0 + 1/34*u**5. Factor m(q).
-2*q**2*(q - 2)*(3*q + 1)/17
Let i(a) = -a**3 - 28*a**2 - 52*a + 4. Let x be i(-26). Let n(b) be the first derivative of 4/9*b + 8/27*b**3 + 1/18*b**x + 5/9*b**2 - 6. Factor n(p).
2*(p + 1)**2*(p + 2)/9
Let d = 431 - 288. Let f = 716/5 - d. Factor f*j - 1/5*j**3 + 1/10*j**2 + 0 - 1/10*j**4.
-j*(j - 1)*(j + 1)*(j + 2)/10
Let b(u) = 10*u**4 - 200*u**3 + 986*u**2 + 7*u - 7. Let z(l) = 5*l**4 - 100*l**3 + 492*l**2 + 4*l - 4. Let g(x) = -4*b(x) + 7*z(x). Factor g(t).
-5*t**2*(t - 10)**2
Suppose -43 = -20*m + 57. Let b(u) be the first derivative of 0*u**2 + 0*u - 3 - 3/35*u**m + 0*u**3 - 1/14*u**6 + 0*u**4. Suppose b(i) = 0. What is i?
-1, 0
Factor 6*h**4 + 0*h**5 + 287*h**2 - h - 293*h**2 + 2*h**3 - 3*h + 2*h**5.
2*h*(h - 1)*(h + 1)**2*(h + 2)
Let u be 5*(4/(-32) + (-84)/(-160)). Factor 6*n - 2*n**u + 1/6*n**3 + 0.
n*(n - 6)**2/6
Let j(n) = 2*n**2 - 3*n + 3. Suppose 0 = 5*c - p + 1 + 13, -5*c - 13 = -2*p. Let y(s) = s**2 - 3*s + 2. Let m(l) = c*y(l) + 2*j(l). Let m(f) = 0. What is f?
-3, 0
Determine b so that 11/4*b**3 + 0*b + 0 + 3/2*b**2 + b**4 = 0.
-2, -3/4, 0
Let v(a) be the first derivative of a**4/4 - 4*a**3 + 21*a**2/2 - 10*a + 69. Let v(o) = 0. What is o?
1, 10
Let z(j) = -6*j**3 + 28*j**2 + 6*j - 28. Let w(b) = b**3 - b**2 - b + 1. Let 