 t**4/7 + 12*t**3/7 - 540*t**2. Determine i so that k(i) = 0.
-3, -2, 2
Factor -1/2*t**2 + 4*t + 33/2.
-(t - 11)*(t + 3)/2
Suppose -10*a + 252 + 48 = 0. Let h be a/12 + 5/(-2). Let -2/3*b + h + 1/3*b**2 = 0. Calculate b.
0, 2
Let o(t) be the second derivative of 3*t**5/80 + t**4/4 + 3*t**3/8 + 4*t + 1. Solve o(d) = 0 for d.
-3, -1, 0
Let k(y) be the second derivative of -y**8/23520 + y**6/2520 - y**4/12 + 6*y. Let x(i) be the third derivative of k(i). Factor x(p).
-2*p*(p - 1)*(p + 1)/7
Let u(n) be the third derivative of n**8/672 - n**7/210 - n**6/80 + n**5/15 - n**4/12 + 149*n**2. Factor u(v).
v*(v - 2)*(v - 1)**2*(v + 2)/2
Let f be (-2 + (-3429)/24)/(12/16). Let s = -193 - f. Determine u, given that -1/3*u - 1/6*u**2 - s = 0.
-1
Let m(l) be the third derivative of l**6/180 - 7*l**5/18 - l**4 - 566*l**2 - 1. Factor m(j).
2*j*(j - 36)*(j + 1)/3
Suppose r + 21 = 4*x, x = -2*r + 4*r + 14. Let p(s) be the second derivative of x*s + 3/20*s**4 + 0 - 1/5*s**3 + 1/10*s**2. Determine d, given that p(d) = 0.
1/3
Factor -13*v**5 - 16*v**4 + 9*v**5 + 8*v**3 - 14*v**2 + 0*v - 36*v + 62*v**2.
-4*v*(v - 1)**2*(v + 3)**2
Factor -231/4*z**2 - 53361/8*z - 1/8*z**3 + 0.
-z*(z + 231)**2/8
Suppose -4 = r - 3*g, -44*g + 40*g = -3*r - 2. Factor -3*l + 0 - 3/4*l**r.
-3*l*(l + 4)/4
Let j(z) be the second derivative of z**5/25 + 4*z**4/15 - 2*z**3/3 + 12*z + 1. Determine o, given that j(o) = 0.
-5, 0, 1
Suppose 26*f - 61 = 17. Let g(j) be the first derivative of 1/6*j**2 + 5 - 1/9*j**f + 1/3*j - 1/12*j**4. Determine l, given that g(l) = 0.
-1, 1
Suppose 4*n = 1 - 33. Let z = 90/11 + n. Suppose 0 + z*h**2 + 0*h = 0. What is h?
0
Let p(z) = z**3 - 68*z**2 - 287*z - 66. Let r be p(72). Factor 18/5 - r*y + 14/5*y**2 - 2/5*y**3.
-2*(y - 3)**2*(y - 1)/5
Let r(g) = g - 1. Let d(i) = 13*i**2 - 16*i + 13. Let t(f) = -6*f**2 + 8*f - 6. Let u(h) = 2*d(h) + 5*t(h). Let j(w) = -4*r(w) + u(w). Factor j(a).
-4*a*(a - 1)
Let x be 4/4 - ((2 - 4) + 3). Let w(a) be the first derivative of -2/9*a**3 - 8/3*a**5 + 0*a + 3/2*a**4 - 1 + x*a**2. Factor w(p).
-2*p**2*(4*p - 1)*(5*p - 1)/3
Let r(q) be the first derivative of -q**3 + 19 - 1/5*q**5 + 0*q + 0*q**2 - q**4. Solve r(u) = 0 for u.
-3, -1, 0
Suppose -5*c - 4*c = 81. Let u = c + 11. Solve -u - 1/2*d**2 - 2*d = 0.
-2
Let g(q) be the second derivative of -16*q**7/7 - 44*q**6/5 + 63*q**5/10 + 119*q**4/8 + 17*q**3/2 + 9*q**2/4 - 2*q + 36. What is d in g(d) = 0?
-3, -1/4, 1
Let h(y) be the third derivative of 5*y**8/84 + 16*y**7/105 - 2*y**6/15 - 2*y**5/3 - y**4/6 + 4*y**3/3 + y**2. Factor h(c).
4*(c - 1)*(c + 1)**3*(5*c - 2)
Let w be 7/2 + 3/(-6). Suppose -4*o = w*a - 2 - 10, a - 12 = -4*o. Factor -3*v**3 - v**4 + a*v - 3*v**2 - 3*v + 2*v.
-v*(v + 1)**3
Factor 5/2 - 11/4*q + 1/4*q**2.
(q - 10)*(q - 1)/4
Factor 0 - 2/11*g**4 + 2/11*g - 2/11*g**3 + 2/11*g**2.
-2*g*(g - 1)*(g + 1)**2/11
Let q(x) = -x**3 - x. Let z be q(-1). Let p(f) be the second derivative of 0 - 2*f - 1/4*f**3 - 1/48*f**4 - 9/8*f**z. Suppose p(b) = 0. Calculate b.
-3
Let k(a) be the second derivative of -1/84*a**7 - 4/5*a**5 - 4*a**3 + 4*a**2 + 17*a + 0 + 7/3*a**4 + 3/20*a**6. Solve k(z) = 0 for z.
1, 2
Let s be (-2)/(-27)*24/80. Let p(c) be the second derivative of 0*c**2 - 1/10*c**5 + 4/9*c**3 + 0*c**4 - 8*c + 0 + s*c**6. Factor p(n).
2*n*(n - 2)**2*(n + 1)/3
Let z(i) be the second derivative of 0 + 1/42*i**4 + 5/21*i**3 - 2*i**2 - 12*i. Determine k, given that z(k) = 0.
-7, 2
Let y(v) be the first derivative of 2*v**5/5 + 5*v**4/2 + 2*v**3/3 - 21*v**2 - 36*v - 22. Suppose y(w) = 0. Calculate w.
-3, -1, 2
Let m be 18/(-390) + 4/20. Find u, given that -2/13*u**3 - 4/13*u**4 - 2/13 + m*u + 6/13*u**2 = 0.
-1, 1/2, 1
Let i(p) be the first derivative of p**4/22 + 4*p**3/33 - p**2 - 24*p/11 - 865. Suppose i(l) = 0. Calculate l.
-4, -1, 3
Let l = -11 - -11. Suppose l = 2*c - 2 - 8. Let -c*d**2 + 2*d**2 + 3*d + 0*d + 3 - 6*d + 3*d**3 = 0. Calculate d.
-1, 1
Suppose -27*h + 7*h = -104*h - 22*h. Solve h + 1/3*u + 2/3*u**2 + 1/3*u**3 = 0.
-1, 0
Let b(l) = 18*l + 938. Let r be b(-52). Factor 2/19*i**r + 2/19 + 4/19*i.
2*(i + 1)**2/19
Let d be 1 + ((-4)/(-3))/(24/36). Let o be d/9 + 3/9. Suppose 1/3*j**2 + 0*j - j**4 + 0*j**3 + 0 + o*j**5 = 0. What is j?
-1/2, 0, 1
Let i(s) be the third derivative of s**6/540 - 7*s**5/135 - 5*s**4/27 + 29*s**3/6 + 20*s**2. Let r(q) be the first derivative of i(q). Factor r(x).
2*(x - 10)*(3*x + 2)/9
Suppose -5*p + 4*y + 14 = 0, -5*p + 2*y = 4*y - 8. Let b = 3 + p. Factor 6*a - a**3 - 2 - b*a - 3*a**2 - a**4 + 0*a + 6*a**2.
-(a - 1)**2*(a + 1)*(a + 2)
Suppose -18*j + 21*j = 0. Let n(z) be the third derivative of 1/24*z**6 - 1/60*z**5 + j*z**3 + 0 + 0*z**4 - 2/105*z**7 - 7*z**2 + 0*z. Factor n(w).
-w**2*(w - 1)*(4*w - 1)
Let z(h) = -3*h - 7*h**2 + 210*h**3 - 9*h**4 + 2*h - 221*h**3. Let m(i) = 18*i**4 + 21*i**3 + 15*i**2 + 3*i. Let y(c) = -4*m(c) - 9*z(c). Factor y(j).
3*j*(j + 1)**2*(3*j - 1)
Suppose -36/11 + 2*b - 2/11*b**2 = 0. Calculate b.
2, 9
Let f = -27 - -36. Let x(z) = 6*z**2 - 15. Let g(m) = 3*m**2 - 7. Let q(h) = f*g(h) - 5*x(h). Factor q(r).
-3*(r - 2)*(r + 2)
Let c(v) be the second derivative of 1/39*v**3 + 1/78*v**4 + 0*v**2 + 0 + 10*v. Factor c(z).
2*z*(z + 1)/13
Let j(d) be the third derivative of 7*d**6/10 - d**5/20 - d**4/4 - 58*d**2 - 1. Factor j(x).
3*x*(4*x + 1)*(7*x - 2)
Suppose 0 = 149*r - 98 - 498. Suppose -1/2*z**2 + 3*z - z**3 + 1/4*z**r + 9/4 = 0. Calculate z.
-1, 3
Let i(j) be the second derivative of -j**7/1470 + j**6/840 + j**5/84 + j**4/56 - 7*j**2 + 10*j. Let k(w) be the first derivative of i(w). Factor k(s).
-s*(s - 3)*(s + 1)**2/7
Let r be (-1)/(19/4 + -5). Suppose 0 = -3*x + 2*s + r, 5*x + 4*s - 10 = 9*s. Determine m so that x + 0*m - 2/3*m**3 + 4/3*m**2 - 2/3*m**4 = 0.
-2, 0, 1
Let r = 25 + -12. Let a = 9 - r. Let s(c) = -370*c**4 - 125*c**3 - 35. Let v(n) = 41*n**4 + 14*n**3 + 4. Let z(b) = a*s(b) - 35*v(b). Let z(i) = 0. Calculate i.
-2/9, 0
Let m be (-16)/14*(8 + (-6842)/836). Factor 2/19*f**2 - m*f + 2/19.
2*(f - 1)**2/19
Let p(b) = 105*b**4 - 495*b**3 + 975*b**2 - 845*b + 260. Let i(k) = 8*k**4 - 38*k**3 + 75*k**2 - 65*k + 20. Let z(r) = -40*i(r) + 3*p(r). What is v in z(v) = 0?
1, 4
Let h(r) = 5*r**4 - 144*r**3 + 1114*r**2 - 1816*r + 845. Let d(c) = -5*c**4 + 145*c**3 - 1115*c**2 + 1815*c - 845. Let a(k) = 4*d(k) + 5*h(k). Factor a(j).
5*(j - 13)**2*(j - 1)**2
Let p be (-36)/(-8) - (7 + (-232)/80). Determine r so that -2*r**2 + 0*r + 8/5 + 0*r**3 + p*r**4 = 0.
-2, -1, 1, 2
Let q(k) be the first derivative of -k**4/22 - 4*k**3/11 + 16*k**2/11 - 74. Factor q(n).
-2*n*(n - 2)*(n + 8)/11
Suppose 1509 = -21*s + 6969. Let k be (-4)/18 + (-7)/((-5355)/s). Factor 8/17*h**2 - 2/17*h - 12/17*h**3 + 8/17*h**4 - k*h**5 + 0.
-2*h*(h - 1)**4/17
Let 867/8 + 1275/2*f + 9/4*f**3 - 609/8*f**2 = 0. Calculate f.
-1/6, 17
Let a(b) = 5*b**3 + 20*b**2 + 68*b - 48. Let y(m) = m**3 + 5*m**2 + 17*m - 13. Let d(f) = 4*a(f) - 18*y(f). Factor d(c).
2*(c - 7)*(c - 1)*(c + 3)
Let t(k) be the second derivative of -1/6*k**4 + 2/15*k**5 + 0*k**2 + k - 1/9*k**3 + 0. Factor t(w).
2*w*(w - 1)*(4*w + 1)/3
Let p(v) be the second derivative of 49*v**5/10 + 875*v**4/6 + 241*v**3 + 153*v**2 - 3*v + 53. Factor p(z).
2*(z + 17)*(7*z + 3)**2
What is g in 48*g**2 - 7*g**3 + 17 - g**4 - 19*g**3 - 15*g + 7*g**3 - 35*g + 5*g**3 = 0?
-17, 1
Let y(i) be the third derivative of 0*i**3 + 0*i**5 + 1/540*i**6 + 0*i + 4*i**2 + 0 - 1/108*i**4. Solve y(c) = 0.
-1, 0, 1
Suppose -k - 1442 + 1445 = 0. Factor 0 - 3/4*z**2 + k*z.
-3*z*(z - 4)/4
Suppose -b - 239 = 4*z - 32, -43 = z + 2*b. Let w = -158/3 - z. What is j in -7/3*j**2 - j**3 - w - 5/3*j = 0?
-1, -1/3
Let y(v) be the first derivative of 0*v**3 + 1/12*v**4 - 2/3*v + 13 - 1/2*v**2. Solve y(f) = 0.
-1, 2
Factor -1584*y**2 - 39204*y**3 + 216*y - 83*y - 69*y - 80*y.
-4*y*(99*y + 2)**2
Let d(u) be the first derivative of -3*u**5/140 + u**4/7 + 3*u**3/14 + u**2 - 9. Let v(k) be the second derivative of d(k). Factor v(l).
-3*(l - 3)*(3*l + 1)/7
Let u be -7 + 158725/693 - (72/(-66))/6. Factor 2/9*p**3 - 20/3*p**2 + 200/3*p - u.
2*(p - 10)**3/9
Let s = 108 - 109. Let x be (s/(-2))/(-8 - -10). Factor 0 + 0*j**2 - x*j + 1/4*j**3.
j*(j - 1)*(j + 1)/4
What is f in 24/7*f**4 + 36*f**2 + 108/7 - 270/7*f - 2/7*f**5 - 16*f**3