6/3 - 34/3*i.
-2*(i + 1)**2*(i + 8)/3
Let v = 3917/363090 - 1/3822. Let r(t) be the second derivative of 0 + 0*t**3 + 0*t**2 - 10*t + v*t**5 + 1/285*t**6 + 1/114*t**4. Let r(d) = 0. Calculate d.
-1, 0
Let g(i) be the second derivative of 13/27*i**4 + 10 + 1/135*i**6 + 2*i - 8/9*i**3 + 0*i**2 - 1/10*i**5. Solve g(r) = 0.
0, 2, 3, 4
Factor x**2 + 71*x + 38*x - 213*x - 126 + 43*x.
(x - 63)*(x + 2)
Find s, given that -11*s**5 - 9*s**4 + 8*s**5 - 855*s - 17628 + 90*s**3 + 18303 + 102*s**2 = 0.
-5, 1, 3
Let d be 1/(-3 + (23 - 15)). Find k, given that k**2 + 6/5*k - k**4 + 0 - k**3 - d*k**5 = 0.
-3, -2, -1, 0, 1
Find r such that -328/3 + 1/3*r**2 + 54*r = 0.
-164, 2
Let a(h) be the first derivative of h**5/330 + 5*h**4/6 + 275*h**3/3 - h**2 + 4*h - 117. Let i(u) be the second derivative of a(u). Let i(v) = 0. Calculate v.
-55
Let m(p) be the third derivative of p**5/120 + p**4/6 - 7*p**3 - 778*p**2. Find g, given that m(g) = 0.
-14, 6
Let y be (-37)/3 + (-749 - 174)/(-71). Factor 52/3*s - y*s**2 - 50/3.
-2*(s - 25)*(s - 1)/3
Let y = 156682 - 156678. Let 24/19*w - 58/19*w**2 - 24/19*w**3 + 2/19*w**y + 56/19 = 0. Calculate w.
-2, -1, 1, 14
Suppose -36*g - 102 = -70*g. Factor -36 + 7*n**3 + 22 + 8*n**4 + 22 - 16*n**2 - 3*n**3 - 6*n**g + n**5 + n.
(n - 1)**2*(n + 1)**2*(n + 8)
Let s(j) = 2*j**2 - 15*j - 1. Let k(h) = -21*h**2 + 79*h - 256. Let b(g) = -2*k(g) - 22*s(g). Suppose b(y) = 0. What is y?
-3, 89
Let x be 0 + -1 - (-5 - 0) - -3. Factor -16 - 96*p**2 - 273*p**3 + 233*p**3 - x - 88*p - 6 - 4*p**4 + 1.
-4*(p + 1)**3*(p + 7)
Let u(q) be the first derivative of -27*q**3 - 93*q**2 + 117 + 33/4*q**4 - 72*q. Factor u(s).
3*(s - 4)*(s + 1)*(11*s + 6)
Let v(m) be the first derivative of m**3 - 87*m**2 + 2154. What is s in v(s) = 0?
0, 58
Let o(w) be the third derivative of w**7/280 - w**6/12 - w**5/40 + 5*w**4/4 + 17*w**3 - 2*w**2 + 11*w. Let i(u) be the first derivative of o(u). Factor i(y).
3*(y - 10)*(y - 1)*(y + 1)
Suppose -31 = -n + 3*q, 161*n + 2*q + 38 = 166*n. What is k in 47/6*k**2 - 4*k**n + k + 29/2*k**3 - 8/3*k**5 + 0 = 0?
-3, -1/4, 0, 2
Let s be (23/(1265/(-66)))/(-11 + (7 - -2)). Determine p, given that 4/5*p - s*p**2 + 0 = 0.
0, 4/3
Let -1 + 1 + 25162*i**5 + 130*i**4 - 25160*i**5 = 0. What is i?
-65, 0
Suppose 0 = -0*b + b - 2. Let r = 174247 + -174247. Factor r + 8/9*m - 2/9*m**b.
-2*m*(m - 4)/9
Let t(z) = z**3 + 5*z**2 - z + 3. Suppose -34*m + 50*m = 80. Let j(u) = -u**3 - 6*u**2 + u - 4. Let l(q) = m*t(q) + 4*j(q). Suppose l(h) = 0. What is h?
-1, 1
Let x(v) = -v**2 - 83*v - 313. Let r be x(-79). Let o(s) = s**3 - 4*s**2 + s - 2. Let w be o(4). Factor -4*d**r - d**2 + 6*d**2 + d**w - 4*d + 2*d**3.
-2*d*(d - 2)*(d - 1)
Factor -64 + 59 + 34*h - 112 - h**2 - 54 - 102.
-(h - 21)*(h - 13)
Let c(z) be the second derivative of 5*z**7/273 + z**6/65 - 11*z**5/65 - 2*z**4/13 + 8*z**3/39 + 64*z - 1. Solve c(o) = 0 for o.
-2, -1, 0, 2/5, 2
Let p(g) be the first derivative of g**6/70 - 3*g**5/35 + 3*g**4/14 - 2*g**3/7 + 3*g**2/14 + 12*g - 4. Let x(q) be the first derivative of p(q). Factor x(k).
3*(k - 1)**4/7
Suppose -2931*o + 3083 = -5710. Determine g so that 0*g + 0 + 2/3*g**o + 6*g**2 = 0.
-9, 0
Let j be (3 - (-11)/(-2))*16/(-20). Let f be (-1)/2 + 40/16 + j. Suppose a**3 + 36 - 36 + f*a**2 + a**3 + 2*a = 0. Calculate a.
-1, 0
Let q be ((-915)/(-42) + -22)*74 - -17. Factor -2*c + 2/7*c**3 + 20/7 - q*c**2.
2*(c - 5)*(c - 1)*(c + 2)/7
Let f(w) be the second derivative of -2 + 27*w + 361/165*w**6 - 12/11*w**4 + 4/33*w**3 + 0*w**2 + 57/22*w**5. Determine z, given that f(z) = 0.
-1, 0, 2/19
Let f(u) = 18*u + 77. Let p be f(-4). Let r(a) = 5*a**2 - 30*a + 30. Let s(i) = -2*i**2 + 15*i - 16. Let m(v) = p*s(v) + 3*r(v). Factor m(b).
5*(b - 2)*(b - 1)
Suppose 0 = -5*y + 5*v - 25, 0 = -11*y + 14*y + v - 5. Let i(f) be the first derivative of -3/2*f**4 + y*f + 3/2*f**2 + f**3 - 1. Suppose i(x) = 0. Calculate x.
-1/2, 0, 1
Let u(g) be the third derivative of 1/7*g**7 + 0*g - 17/60*g**6 - 31/30*g**5 - 32*g**2 + 0 + 16/3*g**3 + 2/3*g**4 + 3/56*g**8. Determine j so that u(j) = 0.
-4/3, -1, 1
Suppose -44*s + 27*s = 16*s. Factor s*h + 0 - 77/3*h**3 - 16/3*h**4 - 98/3*h**2 - 1/3*h**5.
-h**2*(h + 2)*(h + 7)**2/3
Factor -3 - 24*b**3 + 6 + 56*b - 11 - 22*b**2 - 7*b**3 + 5*b**3.
-2*(b - 1)*(b + 2)*(13*b - 2)
Suppose 2*b + 0*b - 6 - 6 = 0. Let t(i) be the third derivative of 0 - 1/60*i**b + 1/42*i**7 + 0*i**3 - i**2 + 0*i**4 + 1/48*i**8 + 0*i**5 + 0*i. Factor t(x).
x**3*(x + 1)*(7*x - 2)
Let w(j) be the first derivative of -j**4/9 - 4*j**3/9 - 2*j**2/3 + 270*j - 143. Let d(i) be the first derivative of w(i). Factor d(g).
-4*(g + 1)**2/3
Let g(o) be the second derivative of 18 - 1/4*o**4 + 6*o**2 + 3/2*o**3 + 4*o. Let g(a) = 0. Calculate a.
-1, 4
Let u(f) = -156*f**2 - 473*f + 41. Let t(b) = -156*b**2 - 470*b + 42. Let j(w) = 7*t(w) - 6*u(w). Solve j(r) = 0.
-3, 4/39
Let k be 6*6*3/54. Solve 713*l**4 - 875*l**4 + 13*l**5 - 108*l**3 - 30*l**k - 3*l - 94*l**5 = 0 for l.
-1, -1/3, 0
Factor 1818*y + 2*y**2 + 1877*y + 308 - 3767*y + 2*y**2.
4*(y - 11)*(y - 7)
Let u(o) be the second derivative of -o**7/210 + o**6/15 - 33*o**5/100 + 11*o**4/15 - 2*o**3/3 + 10*o - 89. Suppose u(w) = 0. What is w?
0, 1, 2, 5
Let z(k) be the second derivative of k**7/63 - 13*k**6/45 + 3*k**5/10 + 37*k**4/18 - 10*k**3/9 - 8*k**2 + 508*k - 2. Determine h so that z(h) = 0.
-1, 1, 2, 12
Let a(q) be the second derivative of -q**4/66 + 71*q**3/33 - 138*q**2/11 + 29*q + 5. Solve a(h) = 0.
2, 69
Let u(v) be the first derivative of -5*v**3/18 + 120*v**2 + 1455*v/2 + 4453. Factor u(o).
-5*(o - 291)*(o + 3)/6
Suppose 45*u + 25 - 25 = -0. Suppose -12/7*i**4 + 16/7*i**3 + u - 4/7*i**2 + 0*i = 0. Calculate i.
0, 1/3, 1
Suppose 5*p = -2*h + 58, -h - 21*p + 29 = -19*p. Factor -33*u - 6 - 24 - h*u**2 + 12*u**2 + 14*u**2.
-3*(u + 1)*(u + 10)
Let h(r) be the second derivative of -r**6/30 - 3*r**5/80 - r**3/3 - 2*r**2 + 4*r + 1. Let o(j) be the second derivative of h(j). Solve o(i) = 0 for i.
-3/8, 0
Let c = -38774/3 - -12927. Let u(f) be the second derivative of -c*f**2 + 1/30*f**5 - 5/18*f**4 + 7*f - 13/9*f**3 + 0. Solve u(t) = 0.
-1, 7
Let w(z) = 7*z - 115. Let i be w(20). Let c be i/100 - 7/(-4). Determine x, given that 1/2*x**4 + 0 - 1/2*x**3 + c*x - 2*x**2 = 0.
-2, 0, 1, 2
Suppose 39*s = 467 - 116. Let o be 2 + 7/s - 2/(-9). Factor -6/11*c**4 - 30/11*c**o - 18/11*c**2 + 0 + 6/11*c**5 + 0*c.
6*c**2*(c - 3)*(c + 1)**2/11
Let v(s) = 1338*s - 149856. Let r be v(112). Solve r*w**2 + 1/3*w**3 - 7/3*w - 2 = 0 for w.
-2, -1, 3
Let w(m) be the third derivative of m**8/1680 + m**7/630 + m**4/24 + 35*m**3/6 - 3*m**2 + 33*m. Let z(v) be the second derivative of w(v). Factor z(h).
4*h**2*(h + 1)
Factor -524*s**2 - 333*s - 3288 - 256*s**3 + 4*s**4 + 69*s + 3288.
4*s*(s - 66)*(s + 1)**2
Suppose 27 = -136*g + 133*g - 4*k, -3*g + 36 = -3*k. Factor 34*w**2 + 0 - 70/19*w**g + 2/19*w**4 - 578/19*w.
2*w*(w - 17)**2*(w - 1)/19
Let 2268*x**2 + 1344 + 57*x**4 - 102*x**4 + 273*x + 2875*x + 29*x**3 + 439*x**3 + 49*x**4 = 0. Calculate x.
-112, -3, -1
Let j be -2*4 - (-10976)/1232. Solve j - 3/11*u - 1/11*u**2 = 0 for u.
-5, 2
Let x(w) be the second derivative of 24*w + 0 + 19/2*w**2 + 2/3*w**3 - 1/60*w**5 + 1/8*w**4. Let i(b) be the first derivative of x(b). Factor i(a).
-(a - 4)*(a + 1)
Let c(j) be the second derivative of j**7/42 + j**6/3 + 33*j**5/20 + 10*j**4/3 + 8*j**3/3 + 4*j + 257. Solve c(k) = 0 for k.
-4, -1, 0
What is h in -7/4*h**3 + 0 - 27/4*h**2 + 1/4*h**5 - 9/2*h + 3/4*h**4 = 0?
-3, -2, -1, 0, 3
Suppose 4*a = 2*a, -4*u - a + 980 = 0. Suppose -2*s + 2*p = 2, -12 = -3*p - 0. Factor -239*n**2 + u*n**2 - s*n**4 + 4*n**3 - n**3.
-3*n**2*(n - 2)*(n + 1)
Let m = 15905 + -15899. Determine y, given that -54/5*y + 26/5 - 2/5*y**3 + m*y**2 = 0.
1, 13
Let w be (-20)/(-6)*(-27)/(-18). Let f = w - 3. Factor 3*z**f + 19*z - z**2 - 19*z.
2*z**2
Let w = 793 - 729. Suppose w*d = 23*d + 82. Factor -20/3*l**d - 4/3 - 6*l - 2*l**3.
-2*(l + 1)*(l + 2)*(3*l + 1)/3
Suppose 34 = 13*f - 5. Suppose 6*q - 4*q**2 + 5*q**2 - 22*q**f - 5*q**4 - 8*q**2 + 4*q**3 = 0. Calculate q.
-3, -1, 0, 2/5
Suppose 3*q + 378 = 12*q. Let i be (58/(-203))/((-3)/q). Factor 0 - 1/10*g**3 + 1/10*g**i + 1/10*g**5 + 0*g - 1/10*g**2.
g**2*(g - 1)*(g + 1)**2/10
Suppose -30