y + 8 = 3*y. Let h be (-2)/(y*(-2)/6). Let 2*r**2 + 0*r**2 - 4*r**4 - 5*r + 4*r**h + 3 - 1 + r**5 = 0. What is r?
-1, 1, 2
Suppose -31 - 5 = -3*l. Let s be (4/(-7))/(l/(-42)). Find q, given that 5*q + 3 - s*q**2 - 4*q**2 + 4*q**2 = 0.
-1/2, 3
Suppose 4*l + 4*k - 6 = -10, 3*k = -l - 3. Let v(q) be the first derivative of 1/21*q**3 + 7 + l*q - 1/7*q**2. What is f in v(f) = 0?
0, 2
Let z = -267 - -1339/5. Let l(m) = -17*m - 65. Let c be l(-4). Factor z*j + 1/5*j**4 - 4/5*j**c + 3/5*j**2 - 4/5.
(j - 2)**2*(j - 1)*(j + 1)/5
Let m = 54 - 52. Find k, given that 12*k + 8 - 105*k**m + 54*k**2 + 55*k**2 = 0.
-2, -1
Suppose -3*i = 7*j - 2*j + 802, 647 = -4*j + 3*i. Let p = j + 161. Factor -16/3*w**3 - 2*w**4 - 26/9*w**2 - 4/9*w + p.
-2*w*(w + 2)*(3*w + 1)**2/9
Suppose -24*d = -31*d + 35. Suppose 0 = -30*a + d*a. Solve 2/15*w**4 + 0 + 4/15*w**3 + 2/15*w**2 + a*w = 0 for w.
-1, 0
Suppose 3*b + 36 = 2*v + 3*v, b = -v - 4. Let d be 1/2*((-6)/b + 0). Factor -3/7*c**2 - d*c**5 + 0 + 3/7*c**4 + 0*c + 3/7*c**3.
-3*c**2*(c - 1)**2*(c + 1)/7
Let o(i) be the first derivative of 1/25*i**5 - 1/15*i**3 + 13 + 0*i + 1/20*i**2 + 0*i**4 - 1/60*i**6. Factor o(f).
-f*(f - 1)**3*(f + 1)/10
Suppose -3*b = -3*j + 9, -30 = -4*j + 3*b - 8*b. Factor 5*a - 6*a + 0*a**3 + 26*a**4 + 5*a - 18*a**3 - 2*a**2 - 10*a**j.
-2*a*(a - 1)**3*(5*a + 2)
Factor -72*c + 2401 - 513*c**2 + 1027*c**2 - 26*c - 513*c**2.
(c - 49)**2
Factor -732*x + 1455 - 184*x**3 + 1105 + 179*x**3 - 228*x + 134*x**2 - 14*x**2.
-5*(x - 8)**3
Let i be 9*(-2)/4*96/(-18). What is w in w**5 + 3*w - 4*w**3 - 3*w**2 + w**2 + i - 22 = 0?
-1, 1, 2
Let k(w) be the third derivative of w**5/12 - 59*w**4/48 - w**3/2 - 4*w**2 + 46. Factor k(i).
(i - 6)*(10*i + 1)/2
Let k(d) = -4*d**4 + 133*d**3 - 893*d**2 - 2176*d - 1151. Let h(a) = 2*a**4 - 66*a**3 + 446*a**2 + 1088*a + 576. Let f(l) = 5*h(l) + 2*k(l). Solve f(s) = 0.
-1, 17
Let x(q) = -2*q**3 - 38*q**2 + 65*q + 101. Let f(b) = -b**3 - 13*b**2 + 22*b + 34. Let o(n) = 7*f(n) - 2*x(n). Factor o(c).
-3*(c - 2)*(c + 1)*(c + 6)
Let a = -130 - -132. Factor -943*d**3 - 6*d**4 + 4*d**a - 3*d**4 + 931*d**3 + 7*d**5.
d**2*(d - 2)*(d + 1)*(7*d - 2)
Let j(l) = 6*l**2 + 38*l - 24. Let f(a) = -9*a + 9*a - a. Let m(d) = -6*f(d) - j(d). Let m(n) = 0. Calculate n.
-6, 2/3
Let a be (-161)/(-92) + 5/20. Let k(h) be the third derivative of 11*h**a + 7/20*h**5 + 37/8*h**4 + 0 + 5*h**3 + 0*h. Let k(u) = 0. What is u?
-5, -2/7
Let d be 2/(-2) + (-7 + -20)/(-27). Factor 0*b + 4/7*b**5 + 0*b**2 - 8/7*b**4 + 0 + d*b**3.
4*b**4*(b - 2)/7
Let j(v) be the third derivative of -v**7/2940 + v**6/70 - 9*v**5/35 + 5*v**4/12 + 11*v**2. Let h(c) be the second derivative of j(c). Factor h(q).
-6*(q - 6)**2/7
Solve 7 + 3*j**2 + 17 - 4 + 5*j + 10*j - 2 = 0 for j.
-3, -2
Let d(o) = 3*o**2 + 16*o - 3. Let t be d(-6). Factor -9*q**2 - t*q**3 + 12 + 13*q**3 - 7*q**3.
-3*(q - 1)*(q + 2)**2
Solve -17*n**2 + 2*n**5 + 75*n + 2*n**5 - 27*n**3 - 70*n**4 + n**5 - 53*n**3 + 87*n**2 = 0 for n.
-1, 0, 1, 15
Let n(v) = -v**2 - 11*v + 26. Let f be n(-13). Let a(m) be the first derivative of 0*m**2 + f*m**4 - 4 + 0*m**3 - 3/5*m**5 + 0*m. Factor a(r).
-3*r**4
Suppose w - 4*w + 6 = 0. Suppose 4*m + 6 = -2*r + 18, w*m - 6 = -3*r. Let 3*x**2 - 138 - 9*x + m*x**2 + 6*x**3 + 141 + 2*x**5 - 9*x**4 + x**5 = 0. Calculate x.
-1, 1
Let s be (4 - 5)*(-2 - 3). Factor -4 - 8*p - s*p - 4*p**2 + 5*p.
-4*(p + 1)**2
Factor 81/5*y**2 - 18/5*y + 1/5.
(9*y - 1)**2/5
Suppose -2*x - 4*x = -6. Let v be (5 + -7)/(x/(2/(-12))). Solve v + 0*u**2 - 1/3*u**4 - 2/3*u**3 + 2/3*u = 0.
-1, 1
Let h(p) = -p. Let o(m) = -2*m**2 - 4*m - 3*m - m**2 + 0*m + 1. Let r(f) = -5*h(f) + o(f). Factor r(j).
-(j + 1)*(3*j - 1)
Determine p, given that -48/7*p**3 - 338/7 - 2/7*p**4 + 624/7*p - 236/7*p**2 = 0.
-13, 1
Let i be (4 + 2)*(-4)/(-6). Suppose -5 = -2*n + 7*n - 5*b, -i*b + 20 = 4*n. Determine h so that -h - h**3 - 4*h - h**n + h**4 + 6*h = 0.
-1, 0, 1
Factor 5/2*i**2 - 1/2*i**3 + 3/2 - 7/2*i.
-(i - 3)*(i - 1)**2/2
Let j(x) = 2*x**2 - 16*x + 10. Let p(g) = 220*g - 237*g + 9 - g**2 + 3*g**2. Let a(v) = 3*j(v) - 2*p(v). Factor a(d).
2*(d - 6)*(d - 1)
Let o(l) be the third derivative of 0*l**4 - 4*l**2 + 0*l**3 + 0 + 1/140*l**5 + 0*l. Find q, given that o(q) = 0.
0
Let x(f) be the first derivative of -f**4/22 + 2*f**3/11 - 2*f**2/11 + 28. Suppose x(d) = 0. What is d?
0, 1, 2
Let u(z) = -22*z**4 + 113*z**3 + 48*z**2 - 92*z - 23. Let a(y) = y**4 + 6*y**3 + y**2 + y - 1. Let m(l) = 3*a(l) - u(l). What is b in m(b) = 0?
-1, -1/5, 1, 4
Let f(h) be the second derivative of -h**6/60 + 7*h**5/8 - 143*h**4/12 - 33*h**3 + 162*h**2 + 22*h. Factor f(d).
-(d - 18)**2*(d - 1)*(d + 2)/2
Suppose 5*m + 0*m = 15. Factor -3*v**3 - 1153 + 1153 + m*v - 3*v**4 + 3*v**2.
-3*v*(v - 1)*(v + 1)**2
Suppose -6*a = -a - q - 10, 5*a - 5*q - 10 = 0. Let i(s) be the first derivative of -2*s + 6 - 8/3*s**3 + 5*s**a. Factor i(n).
-2*(n - 1)*(4*n - 1)
Determine a so that -2/7*a**4 + 18/7*a**2 + 24/7 + 6/7*a**3 - 46/7*a = 0.
-3, 1, 4
Suppose 84*n = 81*n + 6. Factor n*h + 6*h**2 - 76*h**3 + 2*h + 78*h**3.
2*h*(h + 1)*(h + 2)
Let j(k) = -k**3 - k**2 - 4*k - 8. Let g(s) = 3*s**3 + 3*s**2 + 8*s + 18. Let n(b) = -2*g(b) - 5*j(b). Factor n(i).
-(i - 2)*(i + 1)*(i + 2)
Suppose 1/2 + 23/8*o - 27/8*o**2 = 0. What is o?
-4/27, 1
Let v = 35 - 32. Factor 14*k**3 - 4*k**v - 4*k**2 - 4*k - 2*k**2.
2*k*(k - 1)*(5*k + 2)
Let m(h) be the second derivative of 0 - 1/18*h**4 - 1/9*h**6 - 2/9*h**3 + 0*h**2 + 4/15*h**5 + 2*h. What is o in m(o) = 0?
-2/5, 0, 1
Factor 0*k + 1/6*k**2 + 1/3*k**3 + 1/6*k**4 + 0.
k**2*(k + 1)**2/6
Let n(a) be the second derivative of -5*a**4/12 - 25*a**3/6 + 15*a**2 - 39*a - 3. Factor n(r).
-5*(r - 1)*(r + 6)
Let f(y) be the second derivative of 0 + 7*y + 0*y**2 + 1/10*y**5 - 1/3*y**4 - y**3. Factor f(a).
2*a*(a - 3)*(a + 1)
Let s(k) be the first derivative of -2/27*k**3 + 7 + 0*k - 2/9*k**2. Factor s(x).
-2*x*(x + 2)/9
Let n(z) = -z**2 + 9*z - 8. Let s be n(7). Factor 0*y**2 - 4 + s - y**2 - 3 + 2*y.
-(y - 1)**2
Let p(z) be the second derivative of -z**4/42 + 4*z**3/21 + 5*z**2/7 + 4*z - 10. Factor p(n).
-2*(n - 5)*(n + 1)/7
Solve 2/13*f**2 + 0 - 102/13*f = 0.
0, 51
Let o = -27 + 31. What is t in 0*t**o + 179*t**2 - 60*t**3 + 175*t**2 - 1500*t + 96*t**2 + 1875 + 3*t**4 = 0?
5
Let m = 1 + 5. Suppose 6*i = i + 25. What is x in 0*x**2 - 9*x**3 - 17*x**5 + 2*x**5 + 6*x**2 - m*x**i - 36*x**4 = 0?
-1, 0, 2/7
Let h(t) = 5*t - 1. Let u be h(1). Suppose -u*f + 7*f = 30. Factor 5 + 6*n**3 - 3*n**4 - 2*n - n**2 - f*n - 17 + 10*n**2.
-3*(n - 2)**2*(n + 1)**2
Let z(h) = -h + 18. Let v be z(-14). Let j be 104/v - (-3)/4. Factor -j*s**4 - 2*s**5 + 8*s**3 + 13*s**3 - 23*s**3.
-2*s**3*(s + 1)**2
Let d be (-1 + 27)/2 + 2. Let n be -5*(36/d + -3). Factor -2*a**2 + 11*a - n*a**3 - 5*a - a**2.
-3*a*(a - 1)*(a + 2)
Let u = 1705 + -20449/12. Let l(v) be the third derivative of -3/10*v**5 - u*v**4 + 0 + 0*v - 2/3*v**3 - 8*v**2. Find r such that l(r) = 0.
-1, -2/9
Suppose 8*f - 42 = 2*f. Let 2*d**2 + f*d**2 - 100 - 20*d - 10*d**2 = 0. Calculate d.
-10
Let c(h) be the second derivative of h**10/7560 + h**9/3780 - 9*h**4/4 + 41*h. Let t(w) be the third derivative of c(w). Factor t(v).
4*v**4*(v + 1)
Solve 2/13*g**3 - 54/13*g + 0 - 12/13*g**2 = 0.
-3, 0, 9
Let j = -1/42 + 5/14. Let t(d) be the first derivative of 26/27*d**3 - 4/3*d**2 - j*d**4 + 8/9*d + 3 + 2/45*d**5. Factor t(c).
2*(c - 2)**2*(c - 1)**2/9
Let i(k) = 2*k + 25. Let w be i(-10). Find f such that -50*f**w - 2*f + 2*f + 4*f**3 + 4*f**4 + 51*f**5 = 0.
-2, 0
What is b in -99/4*b + 3/4*b**4 - 33/4*b**2 + 15/4*b**3 - 27/2 = 0?
-6, -1, 3
Let -16*p**5 + 2*p**5 + 3*p**5 - 5*p**4 + 10*p**5 = 0. Calculate p.
-5, 0
Let b(k) be the first derivative of 0*k + 1/16*k**2 - 7 - 1/24*k**3 + 1/40*k**5 - 1/32*k**4. Let b(p) = 0. What is p?
-1, 0, 1
Suppose -5*s - 5*p = -4*p - 11, 2*s - 5*p + 1 = 0. Suppose 10 = -s*l, -9*r + 5*r + 5*l + 37 = 0. Factor 0*t**2 - 2/5*t**r + 0 + 8/15*t - 2/15*t**4.
-2*t*(t - 1)*(t + 2)**2/15
Let i(q) be the second derivative of -q**4/30 - 38*q**3/15 - 361*q**2/5 + 57*q. Solve i(v) = 0.
-19
Suppose 4*x - 15 = w, 2*x - 3*w + 3 = 6*x. Suppose x*h - 5*f = 9, f + f + 6 = 2*h. Factor 6*i**2 - h*i**4 - 3*i - 2*i**2 - i**2 + 3*i**3.
-3*i*(i - 1)**2*(i + 1)
Let f(w)