hat -30*n - 85/6*n**4 - 5/2*n**3 - 50/3 + 365/6*n**2 + 5/2*n**5 = 0.
-2, -1/3, 1, 2, 5
Determine i, given that 338/3 - 208*i + 16*i**3 + 236/3*i**2 + 2/3*i**4 = 0.
-13, 1
Let g(s) be the third derivative of -s**6/420 - 3*s**5/70 + 17*s**4/42 - 8*s**3/7 + 3*s**2 + 25*s. What is v in g(v) = 0?
-12, 1, 2
Factor 1280 + 1/5*x**2 - 32*x.
(x - 80)**2/5
Let t be (4/(-16))/((-11)/11). Solve 0 + t*q**2 - 1/2*q = 0 for q.
0, 2
Let o(v) be the second derivative of v**5/90 + 20*v**4/27 + 119*v**3/9 - 98*v**2 - 469*v. Factor o(c).
2*(c - 2)*(c + 21)**2/9
Let n = -1652 + 1662. Let q(a) be the second derivative of -1/135*a**6 + 0*a**2 + 0*a**3 - 1/54*a**4 + 0 - 1/45*a**5 - n*a. Determine v, given that q(v) = 0.
-1, 0
Factor 0 + 9/8*h**2 - 1/4*h**3 - 1/2*h.
-h*(h - 4)*(2*h - 1)/8
Let v(i) be the first derivative of i**5/15 + i**4/6 - i**2/3 - i/3 + 97. Factor v(f).
(f - 1)*(f + 1)**3/3
Factor 21 + 6 + 10 + 3*k**2 - 40.
3*(k - 1)*(k + 1)
Let b(y) be the third derivative of -y**7/252 + 5*y**5/72 - 5*y**3/9 + 59*y**2. Let b(l) = 0. What is l?
-2, -1, 1, 2
Let d(n) be the third derivative of -12*n**2 + 0*n - 8/15*n**5 + n**4 + 6*n**3 - 2/105*n**7 + 0 - 1/5*n**6. Factor d(h).
-4*(h - 1)*(h + 1)*(h + 3)**2
Factor 2/15*i**2 - 6/5*i + 28/15.
2*(i - 7)*(i - 2)/15
What is l in -1/2*l**4 + 7/2*l**3 + 5 - 7/2*l - 9/2*l**2 = 0?
-1, 1, 2, 5
Suppose -21*i = -50 + 8. Let d(n) be the third derivative of -1/240*n**5 + 0*n + 1/96*n**4 + 1/12*n**3 + n**i + 0. Let d(y) = 0. What is y?
-1, 2
Let j = 315 + -315. Let p be (-1*2)/(-1) + 0. Determine o, given that 2*o**p + j*o**4 + o - o**2 - o**3 - o**4 = 0.
-1, 0, 1
Suppose -l + 0*l = -6. Suppose l = 4*p - 2. Suppose -6*u**3 + u + 6 + 27*u - 13*u + 3*u**p = 0. Calculate u.
-1, -1/2, 2
Let u(f) = f**3 + f**2 - f. Let z(j) = -6*j**3 - 11*j**2 + 11*j. Let y be 1/2 + ((-39)/(-2) - -1). Let h(l) = y*u(l) + 3*z(l). Factor h(g).
3*g*(g - 2)**2
Let l(x) be the second derivative of 10*x - 1/4*x**4 + 0 + 3/2*x**3 - 3*x**2. Factor l(y).
-3*(y - 2)*(y - 1)
Let r(j) = j**2 + 8*j + 5. Let q(z) = -1. Let p(c) = 2*q(c) - r(c). Let y be p(-6). Factor -6*m**5 + 4*m - 5*m**5 - 8*m**4 + 8*m**2 + 4*m**5 + 3*m**y.
-4*m*(m - 1)*(m + 1)**3
Factor -3*j**2 - 141*j**3 - 2*j**2 + 2 + 147*j**3 + 6 - 24*j + 3*j**2.
2*(j - 2)*(j + 2)*(3*j - 1)
Let t(v) = -v**2 + 8*v - 12. Let y be t(6). Let -2*i**2 - 7*i - 2*i**3 + 2*i**4 + 9*i + y*i**3 + 0*i**3 = 0. What is i?
-1, 0, 1
Let 1/5 - 1/10*r**3 + 3/10*r**4 - 9/10*r**2 - 3/10*r = 0. What is r?
-1, 1/3, 2
Let c(x) be the third derivative of 0*x + 1/120*x**5 + 5*x**2 + 1/8*x**4 + 3/4*x**3 + 0. Factor c(m).
(m + 3)**2/2
Let f(w) = -w + 7. Let p(k) = -k**2 - 6*k - 4. Let a be p(-4). Let m be f(a). Factor -4 + 2 + 3*g**2 - 2*g**3 + 3*g + 3*g**3 + m.
(g + 1)**3
Determine t so that -18/11*t**2 - 104/11*t + 24/11 = 0.
-6, 2/9
Let z be (-2)/(10 + (-95)/10) - (-26)/4. Factor z*d - 3 - 1/2*d**2.
-(d - 3)*(d - 2)/2
Factor 258/7*t**2 - 8450/7 - 1170*t - 2/7*t**3.
-2*(t - 65)**2*(t + 1)/7
Suppose 5*p = -5*f + 35, 13*f - 15 = -p + 10*f. Factor 9*z**p + 0*z**5 - 2*z**5 - 6*z**2 - z**5.
-3*z**2*(z - 1)**2*(z + 2)
Let a be -92 - -92 - 1/(-4). Factor -a*r**3 + 1/4*r**4 + 0 + 0*r - 1/2*r**2.
r**2*(r - 2)*(r + 1)/4
Let c(i) be the first derivative of i**6/15 + 6*i**5/25 + i**4/10 - 2*i**3/5 - 2*i**2/5 + 766. Solve c(s) = 0.
-2, -1, 0, 1
Let w be 1/((3/15)/1). Suppose -q + 4 = -w*y + 9, 2*q = -2*y + 14. Factor -4/5*d**3 + 2/5*d + 2/5*d**q + 4/5*d**2 - 2/5 - 2/5*d**4.
2*(d - 1)**3*(d + 1)**2/5
Let l = 108 - 106. Factor 4*p**4 + 4*p**4 - 5*p**4 - 12*p**l + 20*p + p**4 - 8 - 4*p**3.
4*(p - 1)**3*(p + 2)
Let k(u) = -u**2 + u. Suppose a = 3*a - 16. Let d = a + -11. Let q(f) = 8*f**2 - 11*f + 3. Let n(r) = d*q(r) - 21*k(r). Factor n(m).
-3*(m - 3)*(m - 1)
Let f(g) = g**2 - 10*g + 22. Let q be f(14). Let 62*c - c**2 - 16 - 3*c**2 - q*c = 0. What is c?
-2
Suppose 15 = 25*h - 24*h - s, -40 = -4*h + 2*s. Factor 6/7*j**3 + 8/7*j**2 - 1/7*j**h + 0*j**4 + 3/7*j + 0.
-j*(j - 3)*(j + 1)**3/7
Let j(v) be the second derivative of -2/15*v**3 - 2/25*v**5 + 0*v**2 - 13*v + 1/6*v**4 + 0 + 1/75*v**6. Solve j(m) = 0.
0, 1, 2
Suppose 2*r + 7 + 1 = j, 4*j - 3*r = 22. Factor 12*h**3 + 12*h - 6*h**j - 18*h**2 + h**4 - 1 - 2 + 2*h**4.
-3*(h - 1)**4
Let g = -4164/17 + 8413/34. Factor 15/2 - 5/2*j + g*j**3 - 15/2*j**2.
5*(j - 3)*(j - 1)*(j + 1)/2
Suppose 0 = -6*h - 0*h + 12. Let p be 9*h/(28/18). Factor -p*f**3 + 72/7*f**2 - 3*f + 2/7.
-(3*f - 1)**2*(9*f - 2)/7
Determine m, given that -140/9*m + 16 - 4/9*m**2 = 0.
-36, 1
Let w(s) be the third derivative of s**7/420 + s**6/60 - 17*s**5/40 - 9*s**4/8 + 149*s**2. Factor w(y).
y*(y - 6)*(y + 1)*(y + 9)/2
Let d(i) be the third derivative of i**10/25200 - i**9/7560 - i**8/10080 + i**7/1260 - i**5/15 + 11*i**2. Let t(o) be the third derivative of d(o). Factor t(a).
2*a*(a - 1)**2*(3*a + 2)
Let j(x) be the second derivative of x**3 + 81*x**2 - 13*x + 2. Let w be j(-27). Let 8/7*y**2 + 10/7*y**4 + 0 + w*y + 24/7*y**3 = 0. Calculate y.
-2, -2/5, 0
Let d(p) be the second derivative of -p**4/36 + p**3/6 - p**2/3 + 24*p + 1. Factor d(b).
-(b - 2)*(b - 1)/3
Let h(d) = -d**2 - 3*d. Let o be h(-8). Let y be -6*15/o + -2. What is c in 1/4*c**4 + 0 - 1/4*c**2 + 1/4*c**3 - y*c = 0?
-1, 0, 1
Let o(r) be the second derivative of 1/6*r**3 - 1/40*r**5 + 0*r**2 + 1/24*r**4 + 0 + r. Factor o(x).
-x*(x - 2)*(x + 1)/2
Let a(i) = 33*i + 2. Let r be a(-2). Let y be (6/(-5))/(r/40). Factor 1/2*m + 1/4 - y*m**2.
-(m - 1)*(3*m + 1)/4
Let l(s) be the third derivative of 0 - 1/120*s**5 - 7*s**2 + 0*s**3 + 0*s + 1/144*s**4. Factor l(k).
-k*(3*k - 1)/6
Let 10 - 21*k + 7*k**2 - 2*k**4 - k + 2 + 4*k**3 - k**2 + 2*k**3 = 0. What is k?
-2, 1, 3
Let d(c) = c**3 - 15*c**2 + 14*c + 3. Let h be d(14). Determine x so that 9*x**3 + 6*x**2 - h*x**5 + 0*x**2 + 188*x - 188*x = 0.
-1, 0, 2
Let x be ((-96)/15)/(-4)*90/36. Let m(t) be the second derivative of 1/2*t**2 + 3*t + 1/12*t**3 - 1/24*t**x + 0. Factor m(r).
-(r - 2)*(r + 1)/2
Suppose 0 = -5*o - 2*d + 52, 0 = -o - 0*d - 3*d. Let -8*v**2 + 4*v**3 + 30*v**5 - 8*v**5 - o*v**5 + 8*v**4 - 14*v**5 = 0. What is v?
-1, 0, 1, 2
Let m(z) be the third derivative of -z**6/8 + 8*z**5/3 + 445*z**4/24 + 65*z**3/3 - 342*z**2. Factor m(n).
-5*(n - 13)*(n + 2)*(3*n + 1)
Let i(v) be the first derivative of v**4 + 32*v**3/3 - 66*v**2 - 607. Suppose i(t) = 0. Calculate t.
-11, 0, 3
Let c = -39209/120 + 1307/4. Let o(z) be the third derivative of -1/8*z**4 + 2*z**2 + c*z**6 - 1/30*z**5 + 0*z + 0*z**3 + 0. Let o(v) = 0. Calculate v.
-1, 0, 3
Let o be (-50)/70*(-1 - 1). Factor -2/7*v**5 + o*v**4 - 10/7*v - 20/7*v**3 + 20/7*v**2 + 2/7.
-2*(v - 1)**5/7
Let f(h) be the second derivative of 2*h**6/15 - 34*h**5/5 + 107*h**4 - 1088*h**3/3 + 512*h**2 + 302*h. Solve f(t) = 0.
1, 16
Suppose -4*k = 5*h + 20, -4*k - 35 = -4*h - 15. Let a be (h/(-2))/(-4 - -2). Solve 2*l**2 - l**2 + l**3 + a*l**2 = 0 for l.
-1, 0
Let h(d) = 2*d**2 + 3*d. Let u be h(-2). Suppose 24 = -g + 4*g. Solve p**3 + 0*p**3 - 4*p**3 - u*p**2 - 3*p**4 + g*p**2 = 0.
-2, 0, 1
Let o(n) be the third derivative of n**5/270 - 2*n**4/27 - 11*n**2 - 2. Find r such that o(r) = 0.
0, 8
Let g(h) = h**3 + 2. Let o be 0*(9/6)/(-3). Let b be g(o). What is m in 2*m**3 - m**3 + 3*m**2 + b*m**5 + 2*m**3 - 5*m**5 - 3*m**4 = 0?
-1, 0, 1
Factor -2/5*p**2 - 278/5*p + 0.
-2*p*(p + 139)/5
Suppose -4001 - 2*b**2 - 3086 + 183*b + 2087 + 17*b = 0. What is b?
50
Let z(y) be the third derivative of 5*y**8/1344 - y**7/21 + 5*y**6/24 - y**5/3 + 2*y**2. What is c in z(c) = 0?
0, 2, 4
Let v be (-3 + 2)*-2 - 1*-124. Let -3*f**2 - 3*f**2 - 138*f**3 - 3*f**4 + v*f**3 - 3*f**2 + 12*f + 12 = 0. What is f?
-2, -1, 1
Let x(n) be the second derivative of 5/2*n**2 + 1/10*n**3 + 3/40*n**4 + 1/50*n**5 + n + 0. Let u(z) be the first derivative of x(z). Factor u(f).
3*(f + 1)*(2*f + 1)/5
Let d(i) = i + 7. Let m be d(-5). Suppose o + m*o = 12. Factor -4*u**3 - 4*u**o + 59 - u**5 - 59.
-u**3*(u + 2)**2
Let l(g) be the third derivative of 0*g + 0 - 2/3*g**3 - 7/24*g**4 + 7/120*g**6 + 26*g**2 + 1/15*g**5. Factor l(r).
(r - 1)*(r + 1)*(7*r + 4)
Let n(v) be the third derivative of -1/660*v**6 + 0*v**4 + 0*v + 0*v**3 + 0*v**5 + 2/1155*v**7 + 0 - 12*v**2. Factor n(w).
2*w**3*(2*w - 1)/11
Let c(x) = x**3 - x**2 + x - 1. Suppose