 0. What is b?
-1/2, 0, 1
Let k(g) be the first derivative of g**4/126 - g**3/63 - 13*g - 2. Let q(f) be the first derivative of k(f). Factor q(x).
2*x*(x - 1)/21
Let v(f) be the second derivative of 1/28*f**7 + 3/16*f**4 - 3/40*f**6 - 3*f - 3/80*f**5 + 0 + 0*f**2 - 1/8*f**3. Find p such that v(p) = 0.
-1, 0, 1/2, 1
Let n(o) be the third derivative of 0 + 1/360*o**5 + 1/72*o**4 + 0*o - 15*o**2 + 1/36*o**3. Let n(s) = 0. What is s?
-1
Let y(p) be the second derivative of 10*p**3 + 21*p - 65/12*p**4 - 10*p**2 - 1/6*p**6 + 3/2*p**5 + 0. Factor y(g).
-5*(g - 2)**2*(g - 1)**2
Let i(p) be the third derivative of p**6/40 - 3*p**5/20 - p**4/2 - 114*p**2 - 2*p. Suppose i(o) = 0. Calculate o.
-1, 0, 4
Suppose 19 - 7 = 4*h. Let i(c) be the second derivative of 0 - 1/20*c**5 + 1/2*c**2 - 1/12*c**4 - c + 1/6*c**h. Let i(f) = 0. Calculate f.
-1, 1
Let v(g) be the first derivative of 2*g**5/15 + 5*g**4/18 - 2*g**3/27 - 5*g**2/9 - 4*g/9 - 43. Solve v(j) = 0.
-1, -2/3, 1
Let x(s) = s**3 + s. Suppose -12*l + 25*l = 286. Let g(d) = 4*d**2 - 4 + 2*d**2 - 9*d + 6*d**3 - 19*d**3 - 2*d**4. Let w(k) = l*x(k) + 2*g(k). Solve w(f) = 0.
-2, -1, 1
Let 1/3*o**5 + 6*o**3 + 5/3*o + 8/3*o**4 + 0 + 16/3*o**2 = 0. What is o?
-5, -1, 0
Suppose 7*x - 4*x + 609 = 3*w, 2*x + 203 = w. Let b = 617/3 - w. Suppose 4/3 - 4/3*m - b*m**2 = 0. Calculate m.
-1, 1/2
Let y(o) = -16*o**4 + 96*o**3 - 145*o**2 + 24*o + 20. Let l(f) = -5*f**4 + 32*f**3 - 48*f**2 + 8*f + 7. Let j(d) = -7*l(d) + 2*y(d). Solve j(v) = 0.
-1/3, 1, 9
Suppose -84 = -z - 13*z. Find m, given that z*m + m**2 + 82 + 2*m - 66 = 0.
-4
Let t be (-272)/(-1530) + (-4)/(-18). Solve -1/5*w**2 - t - 3/5*w = 0.
-2, -1
Let k(x) be the second derivative of x**5/60 - 65*x**4/36 + 127*x**3/18 - 21*x**2/2 - 2*x - 23. Let k(h) = 0. Calculate h.
1, 63
Let h be (213/(-426))/(((-23)/6 - -1) + 2). Let v = -6 - -8. Factor -6/5*i + 0 + h*i**v.
3*i*(i - 2)/5
Factor 2/5*d**3 + 0 + 46/5*d + 48/5*d**2.
2*d*(d + 1)*(d + 23)/5
Let n(v) = -8*v**2 - 240*v - 10368. Let g(b) = -15*b**2 - 488*b - 20736. Let x(d) = 6*g(d) - 11*n(d). Factor x(q).
-2*(q + 72)**2
Factor 44*m**3 - 16230*m**2 - 13630*m + 100*m**3 - 5*m**4 - 1859 + 35499 - 4350*m + 431*m**3.
-5*(m - 58)**2*(m - 1)*(m + 2)
Let p(d) be the third derivative of d**7/280 - 7*d**6/160 - 9*d**5/40 - 473*d**2. Factor p(a).
3*a**2*(a - 9)*(a + 2)/4
Let v(p) be the first derivative of -2*p**5/5 - 6*p**4 + 26*p**3/3 - 50. Factor v(t).
-2*t**2*(t - 1)*(t + 13)
Factor 2*t**5 + 21*t**3 + 15*t**3 + 92*t - 40*t**4 + 2*t**5 + t + 208*t**2 + 35*t.
4*t*(t - 8)*(t - 4)*(t + 1)**2
Let o(d) = 12*d**4 - 40*d**3 + 28*d**2 + 208*d. Let z(u) = -u**4 + u**3 - u**2 - u. Let l(b) = o(b) + 8*z(b). Factor l(h).
4*h*(h - 5)**2*(h + 2)
Let h(j) be the first derivative of 2*j**6/3 + 4*j**5/5 - 3*j**4 - 4*j**3/3 + 4*j**2 - 184. Factor h(w).
4*w*(w - 1)**2*(w + 1)*(w + 2)
Let p(l) be the third derivative of l**9/12096 + l**8/4032 + 13*l**5/60 - 22*l**2. Let y(j) be the third derivative of p(j). Factor y(h).
5*h**2*(h + 1)
Let k(i) = -5*i**4 + 15*i**3 + 24*i**2 - 137*i - 159. Let t(u) = -4*u**4 + 14*u**3 + 24*u**2 - 138*u - 156. Let a(h) = 4*k(h) - 6*t(h). Let a(s) = 0. What is s?
-3, -1, 5
Factor 36*m + m - m**2 + 10*m - 12*m + 74 + 0.
-(m - 37)*(m + 2)
Let f be ((-120)/(-16) + -8)*1/(-5). Let u(j) be the second derivative of 1/6*j**4 + 3*j + 0*j**3 + 0*j**2 + 0 - f*j**5. Suppose u(n) = 0. Calculate n.
0, 1
Factor -2/3*j**4 + 0*j**2 + 0*j - 1/3*j**5 + 0 - 1/3*j**3.
-j**3*(j + 1)**2/3
Let u(a) be the first derivative of -2*a**3/9 + 8*a**2/3 + 6*a - 136. Factor u(t).
-2*(t - 9)*(t + 1)/3
Let n(c) = -10*c**3 - 160*c**2 - 758*c + 198. Let l(y) = -41*y**3 - 641*y**2 - 3031*y + 791. Let u(i) = -2*l(i) + 9*n(i). Suppose u(a) = 0. What is a?
-10, 1/4
Suppose 0*d = -7*d + 21. Factor l**d - 10*l**2 + l**3 - 3*l**3 + 3*l - 28*l.
-l*(l + 5)**2
Let l(f) = f**2 - 6*f + 8. Suppose 2*k + 2 + 10 = -5*m, 0 = -k - 5*m - 16. Let a be l(k). Find x such that a*x + 2/11*x**2 + 0 + 4/11*x**3 = 0.
-1/2, 0
Suppose -h - 3*d - 50 = -d, 4*h + 3*d + 220 = 0. Let t = 60 + h. Factor 1/2*k - 1/4*k**t - 1/4.
-(k - 1)**2/4
Let n(v) = 10*v**5 - 15*v**4 - 10*v**3 + 10*v**2 + 10*v. Let k(w) = 11*w**5 - 15*w**4 - 11*w**3 + 9*w**2 + 12*w. Let j(c) = -5*k(c) + 6*n(c). Factor j(r).
5*r**2*(r - 3)*(r - 1)*(r + 1)
What is j in -10*j**4 - 6*j + 9355 + 5*j**5 + 75*j**2 - 9445 - 49*j**3 + 51*j + 25*j**2 - j**3 = 0?
-3, -1, 1, 2, 3
Let t = 18 + -18. What is z in 21*z**2 - 147/4*z**3 + t - 3*z = 0?
0, 2/7
Factor -57/2*y + 6*y**3 + 18 + 3/4*y**4 + 15/4*y**2.
3*(y - 1)**2*(y + 4)*(y + 6)/4
Suppose 0 = -47*f + 42*f + 30. Let k be (-4 + (-8)/(-12)*f)/2. Factor 0 + 3/2*w - 3/2*w**3 + k*w**2.
-3*w*(w - 1)*(w + 1)/2
Let f(h) be the second derivative of -4/3*h**4 - 8/5*h**5 + 0*h**2 + 2/3*h**6 + 0 + 0*h**3 + 21*h. Determine y so that f(y) = 0.
-2/5, 0, 2
Suppose 21 = 10*k - 3*k. Determine m, given that -53*m**3 + 45*m - 30*m**2 + 23*m**k + 35*m**3 = 0.
0, 3
Let v(r) be the first derivative of 3*r**5/20 - 3*r**4/4 - r**3/2 + 9*r**2/2 + 9*r - 12. Let x(u) be the first derivative of v(u). Factor x(m).
3*(m - 3)*(m - 1)*(m + 1)
Let r(x) = x - 1. Let z = -3 - -10. Let n(d) = z*d**2 + d**2 - 6*d**2 + 2. Let b(f) = -n(f) - 2*r(f). Factor b(v).
-2*v*(v + 1)
Let m(b) = 1895*b + 1895. Let o be m(-1). Factor -1/4*p**2 + 1/8*p**5 - 1/2*p**3 + 3/8*p + 1/4*p**4 + o.
p*(p - 1)**2*(p + 1)*(p + 3)/8
Let q be (-36)/(-20) - 3/(-15). Let p**2 - 5*p**4 - 7*p**q + 2*p**2 - 6*p**2 + 15*p**3 = 0. Calculate p.
0, 1, 2
Let c be 3/((-2)/7 + (-27)/(-70)). Let k be c/21 + -2 + (-2 - -3). Determine u so that -6/7*u**4 - 3/7*u + k*u**3 - 3/7 + 9/7*u**2 = 0.
-1, -1/2, 1
Let c(y) be the first derivative of -2*y**3/69 + 520*y**2/23 - 135200*y/23 - 813. Let c(z) = 0. What is z?
260
Let y(d) be the second derivative of -d**7/3360 - d**6/1440 - d**3/2 + 4*d. Let b(o) be the second derivative of y(o). Factor b(h).
-h**2*(h + 1)/4
Let p = -46 - -33. Let z be 0/1 - p/26. What is n in 1/4*n**3 - 1/4*n + 1/2*n**2 - z = 0?
-2, -1, 1
Let v(a) be the first derivative of -2*a**3/9 + 4*a**2 + 30*a + 585. Factor v(b).
-2*(b - 15)*(b + 3)/3
Let d(a) be the second derivative of -1/9*a**4 + 2/45*a**5 - 1/135*a**6 + 0 + 27*a + 4/27*a**3 - 1/9*a**2. Let d(s) = 0. Calculate s.
1
Let f = 18 + -16. Suppose -f*t = 2*m - 10, -3*m + 2 = -3*t + 5. Suppose x**2 + x**3 - x**t + 9*x**4 - 4*x**5 - 6*x**3 = 0. Calculate x.
0, 1/4, 1
Factor -296/3 + 4/3*h**3 + 674/3*h - 166/3*h**2.
2*(h - 37)*(h - 4)*(2*h - 1)/3
Factor 488/7*t + 4/7*t**2 + 14884/7.
4*(t + 61)**2/7
Let g(f) be the first derivative of -f**6/30 + f**5/15 + f**4/6 - 2*f**3/3 - f**2 + 6. Let i(a) be the second derivative of g(a). Find m, given that i(m) = 0.
-1, 1
Let f(v) be the third derivative of -1/2184*v**8 - 2*v**2 + 0 - 1/78*v**5 + 0*v + 1/260*v**6 + 1/1365*v**7 + 1/78*v**4 + 0*v**3. Factor f(s).
-2*s*(s - 1)**3*(s + 2)/13
Factor -24/5 + 24/5*d**2 + 3/5*d**3 - 3/5*d.
3*(d - 1)*(d + 1)*(d + 8)/5
Let l = 81/202 + 10/101. Solve -1/2*g + l*g**3 + 0*g**2 + 0 = 0 for g.
-1, 0, 1
Factor -12/7 + 3/7*l**2 - 9/7*l.
3*(l - 4)*(l + 1)/7
Let k(y) be the second derivative of y**4/102 + 4*y**3/3 + 68*y**2 + 95*y. Factor k(v).
2*(v + 34)**2/17
Let -7/8*c**2 + 79/4 - 551/8*c = 0. Calculate c.
-79, 2/7
Let o(q) be the second derivative of -q**4/12 - 31*q**3/3 - 961*q**2/2 - 314*q + 1. Suppose o(i) = 0. Calculate i.
-31
Let t be (-93)/(-18) - 1/6. Suppose r = t - 3. Factor 2*v**2 + r*v**3 - 6*v**2 + 2*v**3.
4*v**2*(v - 1)
Let f be 28/(-7)*1*51/(-12). Factor 405 - f*l + 60*l + 5*l**2 + 27*l + 20*l.
5*(l + 9)**2
Let f = -680/31 + 22. Let q = f - -48/217. Suppose 2/7*l - 6/7 - q*l**3 + 6/7*l**2 = 0. What is l?
-1, 1, 3
Let c(r) be the third derivative of r**8/252 - 14*r**7/45 + 17*r**6/2 - 3179*r**5/45 - 4913*r**4/9 + 595*r**2. Let c(a) = 0. What is a?
-2, 0, 17
Let k(q) be the second derivative of q**7/504 - q**6/144 + q**4/3 + 5*q. Let h(g) be the third derivative of k(g). Solve h(n) = 0.
0, 1
Let d be 3/(-6)*3/12*-4. Solve 0 - 1/2*k**4 + 0*k**2 + 0*k + d*k**3 = 0 for k.
0, 1
Let g(y) = y**3 + 13*y**2 - 16*y - 16. Let x be g(-14). Let j be 3/10*x/9. Factor 3/5*m - 1/5*m**3 + 0*m**2 + j.
-(m - 2)*(m + 1)**2/5
Let f be ((-220)/33)/(721/(-33)). Let v = -2/103 + f. Let 3/7*b + 2/7 + 0*b**4 - v*b**2 -