y**2/16 - 4*y. Let j(r) = 0. What is r?
-3, 1, 3
Factor -8*c - 4/3*c**2 - 20/3.
-4*(c + 1)*(c + 5)/3
Let u(z) be the third derivative of -z**5/60 - 7*z**4/24 - z**3 + 5*z**2. Let b be u(-4). Factor 7*w**2 + 3*w**5 - 3*w**4 - b*w**5 + 2*w**3 - w**3 - 4 + 2*w**5.
-(w - 1)**2*(w + 1)*(w + 2)**2
Let j(m) = m**4 - 17*m**3 + 48*m**2 - 49*m + 14. Let a(f) = -4*f**4 + 67*f**3 - 191*f**2 + 197*f - 58. Let y(r) = -6*a(r) - 22*j(r). What is k in y(k) = 0?
1, 2, 10
Let b(s) be the third derivative of -s**7/210 + s**6/3 - 20*s**5/3 - 86*s**2 - 3*s. Factor b(h).
-h**2*(h - 20)**2
Let c(t) be the third derivative of -t**5/270 + 55*t**4/108 + 274*t**2. Factor c(o).
-2*o*(o - 55)/9
Let u(a) be the second derivative of 0*a**3 - 1/6*a**4 + 4*a + 0 + 1/20*a**5 + 0*a**2. Factor u(c).
c**2*(c - 2)
Let y(z) = 6*z**2 - 2*z + 1. Let h(j) = 10*j**2 + 76*j + 84. Let w(i) = -h(i) + 2*y(i). Solve w(m) = 0 for m.
-1, 41
Factor -2/9*m**2 + 8/3*m - 40/9.
-2*(m - 10)*(m - 2)/9
Let g(s) be the third derivative of 7*s**6/2160 - 19*s**5/720 - s**4/24 - 4*s**3/3 + 12*s**2. Let l(y) be the first derivative of g(y). Solve l(v) = 0 for v.
-2/7, 3
Let m(l) be the first derivative of l**3 - 276*l**2 + 25392*l + 33. Factor m(p).
3*(p - 92)**2
Let v(i) be the third derivative of -i**6/1260 + 7*i**3/2 + 21*i**2. Let x(b) be the first derivative of v(b). Solve x(k) = 0.
0
Let b(l) be the first derivative of l**5/25 + 7*l**4/20 - l**3/5 - 19*l**2/10 + 14*l/5 + 180. Factor b(r).
(r - 1)**2*(r + 2)*(r + 7)/5
Let q = -2675/24 - -897/8. Let y(l) be the first derivative of 10 + q*l + 0*l**2 - 1/24*l**4 - 1/6*l**3. Factor y(h).
-(h - 1)*(h + 2)**2/6
Let o = 45 + -41. Determine l so that -o*l**4 - 2*l**4 + 2*l + 14*l**3 - 755*l**2 + 745*l**2 = 0.
0, 1/3, 1
Suppose 0 = 11*b - 7 - 26. Let u(t) be the second derivative of 0*t**3 + b*t - 6/5*t**2 + 0 + 1/20*t**4. Let u(g) = 0. What is g?
-2, 2
Factor -29*t + 246*t**2 + 15*t**3 + 111 + 710*t + 123.
3*(t + 3)*(t + 13)*(5*t + 2)
Let m(n) be the second derivative of 5*n**7/14 + 9*n**6/10 - 3*n**5/10 + 50*n. Factor m(w).
3*w**3*(w + 2)*(5*w - 1)
Let d be 9*(-2 + 56/24). Let t(l) be the second derivative of -1/18*l**4 + 1/45*l**6 + 0*l**2 - 3*l + 0 + 0*l**d + 0*l**5. Factor t(j).
2*j**2*(j - 1)*(j + 1)/3
Let v be ((-4)/(-3))/((-8)/(-18)). Let 0*b + 0*b**2 + 2/3*b**v + 1/3*b**4 + 0 - 1/3*b**5 = 0. What is b?
-1, 0, 2
Let u be 4/(-30)*-362*(-35)/(-798). Let k = -36/19 + u. Find x, given that k*x**2 + 0 + 4/9*x = 0.
-2, 0
Let j(s) be the first derivative of -s**4/36 + s**3/9 - s**2/6 - 7*s + 6. Let k(p) be the first derivative of j(p). Factor k(q).
-(q - 1)**2/3
Let o(a) be the third derivative of 1/32*a**4 - 1/80*a**5 + 0*a**3 + 0*a - 1/160*a**6 + 1/280*a**7 - 9*a**2 + 0. Determine r so that o(r) = 0.
-1, 0, 1
Let l be (-1 + -2)*(-33)/(-27) - 1456/(-364). Let 1/3*g**2 + l + 2/3*g = 0. What is g?
-1
Let 841/3 + 1/3*a**2 + 58/3*a = 0. Calculate a.
-29
Let s(o) = -o**4 + 3*o**3 - 1. Let r(u) = -7*u**4 + 6*u**3 + 6*u - 1. Let q(v) = r(v) - 4*s(v). Factor q(c).
-3*(c - 1)*(c + 1)**3
Let x(t) = t**2 + 5*t**3 - 8 + 0 + 9 + 0*t - t. Let n be x(1). Suppose i - n*i**2 - 2 - 7*i**3 + 5*i**3 - 7*i = 0. What is i?
-1
Let y(q) be the second derivative of 10*q + 0*q**2 + 0*q**4 - 1/24*q**3 + 1/80*q**5 + 0. Find i such that y(i) = 0.
-1, 0, 1
Let a(t) be the third derivative of -t**8/3360 + 11*t**4/24 + 10*t**2. Let y(f) be the second derivative of a(f). Solve y(m) = 0.
0
Factor -2539*o**2 - 105*o**4 + 4719*o + 11979 + 810*o**3 + 0*o**5 + 3*o**5 - 1877*o**2 + 468*o**3 - 1458*o**2.
3*(o - 11)**3*(o - 3)*(o + 1)
Factor 3/2*m**4 - 3/2*m**5 + 3/2*m**3 - 3/2*m**2 + 0*m + 0.
-3*m**2*(m - 1)**2*(m + 1)/2
Let u = -3/7396 + 59177/22188. Factor 0*n - 10/3*n**4 + 0 - u*n**2 - 2/3*n**5 - 16/3*n**3.
-2*n**2*(n + 1)*(n + 2)**2/3
Let r(x) = 2*x + 22. Let k be r(-7). Factor 80*m + m**2 - 35*m**3 + 20 + k*m**2 + 16*m**2.
-5*(m - 2)*(m + 1)*(7*m + 2)
Suppose 0*o - 18 = -4*n + 2*o, 5*n = 2*o + 20. Factor 2*d**2 - n + 3*d - 4 - d - 6*d.
2*(d - 3)*(d + 1)
Factor 81 + 45/2*a + 3/2*a**2.
3*(a + 6)*(a + 9)/2
Let o(h) be the second derivative of -h**5/50 - h**4/3 - 8*h**3/5 + 49*h - 1. Factor o(q).
-2*q*(q + 4)*(q + 6)/5
Suppose -8*l - 30 = -5*l. Let a(n) = 2*n + 20. Let w be a(l). Let 2/9*u**3 + w + 0*u - 4/9*u**2 = 0. Calculate u.
0, 2
Let w(p) be the third derivative of -p**7/630 - p**6/45 - 17*p**5/180 - 5*p**4/36 - 22*p**2 + 3. Factor w(a).
-a*(a + 1)*(a + 2)*(a + 5)/3
Factor -9/4*f**2 + 9/4 - 3/4*f + 3/4*f**3.
3*(f - 3)*(f - 1)*(f + 1)/4
Let g(c) be the third derivative of -c**6/24 - 19*c**5/12 - 70*c**4/3 - 160*c**3 - 238*c**2. Determine w, given that g(w) = 0.
-8, -3
Let c(p) = p**3 + 71*p**2 + 132*p - 411. Let v be c(-69). Factor 1/2*r**v - 1/2 + 1/2*r**2 - 1/2*r.
(r - 1)*(r + 1)**2/2
Let h = 11 + -8. Let k(x) = 5*x + h*x + 0 + 0 + x**2. Let j(a) = 9*a**2 + 81*a. Let c(d) = -2*j(d) + 21*k(d). Factor c(t).
3*t*(t + 2)
Factor -38*i + 63*i - 33 - 45*i**4 + 55*i + 55*i + 150*i**3 + 3*i**5 - 210*i**2.
3*(i - 11)*(i - 1)**4
Factor -2/9*m**3 - 128/9*m + 0 + 32/9*m**2.
-2*m*(m - 8)**2/9
Let c(u) be the third derivative of 1/4*u**3 + 0*u + 1/5*u**5 + 11/32*u**4 + 7/160*u**6 - 48*u**2 + 0. Suppose c(g) = 0. What is g?
-1, -2/7
Let z(c) = c**3 + 4*c**2 + 5*c - 4. Let f(g) = -5*g**3 - 16*g**2 - 21*g + 16. Suppose 2*p + 15 - 3 = 0. Let y(m) = p*f(m) - 26*z(m). Find s such that y(s) = 0.
-1, 1, 2
Let w = -6905/3 - -2249. Let k = w + 53. Factor -k*d**4 + 0*d**3 + 0*d + 0 + 1/3*d**2.
-d**2*(d - 1)*(d + 1)/3
Let s(f) be the first derivative of 5*f**6/4 - f**5 - 15*f**4/8 + 5*f**3/3 - 26. What is p in s(p) = 0?
-1, 0, 2/3, 1
Suppose -5*y = 4*a - 2*y - 29, -4*y = -12. Let f(b) = -7*b**2 - b + 3. Let k(v) = 3*v**2 - 1. Let l = -418 - -420. Let r(d) = a*k(d) + l*f(d). Factor r(m).
(m - 1)**2
Find m such that 9*m - 50/3 - 1/3*m**2 = 0.
2, 25
Let x be (-518)/(-49) + (-1 + -8)/1. Factor -12/7*h - 3/7*h**3 - 4/7 - x*h**2.
-(h + 1)*(h + 2)*(3*h + 2)/7
Let h(r) be the first derivative of 28*r**5/5 - 46*r**4 + 112*r**3 - 36*r**2 - 108*r + 522. Factor h(p).
4*(p - 3)**2*(p - 1)*(7*p + 3)
Let p be 1 - (-2 - 1) - 1. Suppose 0 = -3*l - 5*c - 3, -p*l + 27 = -5*c. Factor t**4 + 2*t**2 - t**5 + 6*t**l - 9*t**4 + t.
-t*(t - 1)*(t + 1)**3
Let n = -16913/5 - -3383. What is t in 4/5*t + 2/5 + n*t**2 = 0?
-1
Let t(g) = g**3 - g**2 + g - 1. Let i(y) = -12*y**3 + 36*y**2 - 38*y + 14. Let d(c) = -2*i(c) - 44*t(c). Factor d(s).
-4*(s - 1)*(s + 2)*(5*s + 2)
Factor -13*n**3 + 25*n**2 - 22*n - 8*n - 16*n**3 + 34*n**3.
5*n*(n - 1)*(n + 6)
Factor 6/5*x**4 + 54*x**3 + 0 - 3174/5*x + 2898/5*x**2.
6*x*(x - 1)*(x + 23)**2/5
Suppose -5*j = -11*j + 18. Suppose 4 = 2*w, 2 - 18 = -j*u - 2*w. Determine v so that 8*v**u - v**3 + 2*v**3 + 19*v**4 + 5*v**3 = 0.
-2/9, 0
Determine i so that 140/3*i**2 + 4/3*i**3 + 136/3*i + 0 = 0.
-34, -1, 0
Let w(t) = -31*t + 32. Let k be w(4). Let n = k + 461/5. Factor -4/5*c - 4/5*c**3 + 1/5*c**4 + n + 6/5*c**2.
(c - 1)**4/5
Suppose 2/5*h**4 - 2/5*h**3 - 4/5*h**2 + 1/5*h**5 + 2/5 + 1/5*h = 0. Calculate h.
-2, -1, 1
Let c be (30/(-56))/((-1490)/7152). Let c - 12/7*i - 6/7*i**2 = 0. Calculate i.
-3, 1
Let q(v) = -7*v**2 - 13*v + 6. Let x(a) = 6*a**2 + 14*a - 7. Let y be 2/(-10) + 432/(-90). Let l(w) = y*q(w) - 4*x(w). Let l(t) = 0. What is t?
-1, 2/11
What is f in -4 + 2/7*f**4 + 22/7*f**3 - 78/7*f**2 + 82/7*f = 0?
-14, 1
Let y be (-4)/(-3) - 6/5. Let x(m) be the second derivative of 0 + 1/15*m**3 + 3*m + y*m**4 - 3/50*m**5 - 2/5*m**2. Factor x(o).
-2*(o - 1)**2*(3*o + 2)/5
Let h(d) = 7*d**2 - 54*d + 38. Let q be h(7). Solve 0*i + 0 + 2/3*i**2 + 2/3*i**4 - 4/3*i**q = 0 for i.
0, 1
Let n be ((-1)/(-2))/((9/4)/9). Let t(k) be the first derivative of 2/3*k + 3/2*k**n + 5 + 4/9*k**3. Let t(u) = 0. What is u?
-2, -1/4
Let m(a) = 14*a**3 - 16*a**2 + 2*a + 8. Let w = 38 + -43. Let j(o) = 15*o**3 - 16*o**2 + 2*o + 9. Let q(t) = w*m(t) + 4*j(t). Factor q(f).
-2*(f - 1)**2*(5*f + 2)
Suppose 3*h = -3*u - 3, h - 4*h + 1 = 2*u. Suppose -c - 3*s = -0*s - 18, 3 = -4*c + h*s. What is q in 0 - 3/4*q**c + 3/4*q + 0*q**2 = 0?
-1, 0, 1
Let m(b) be the third derivative of b**7/945 + b**6/60 - 2*b**5/45 - 5*b**4/27 - 201*b**2. Factor m(d).
2*d*(d - 2)*(d + 1)*(d + 10)/9
Let x be 1926/(-135)*(-1)/8. Let f = -7/12 + x. Factor 2/5*o**3 