given that m(t) = 0.
-2, -1, 7
Let w(q) = -q - 25. Suppose 373 = 5*n + 518. Let y be w(n). Let 0 - 75/2*a**2 - 35/2*a**3 - 5/2*a**y - 45/2*a = 0. What is a?
-3, -1, 0
Let b(t) be the third derivative of 0*t - 75*t**2 + 968*t**3 + 0 - 11*t**4 + 1/20*t**5. Factor b(m).
3*(m - 44)**2
Factor -2/13*s**2 - 154/13*s - 152/13.
-2*(s + 1)*(s + 76)/13
Let g = 28 - 23. Suppose 5*x - 43 = -v, -9 = g*x + 2*v - 55. Let -21*n + 0*n**2 + 15*n - x + 2*n**2 = 0. What is n?
-1, 4
Let q(l) be the second derivative of l**7/42 + 2*l**6/15 - 3*l**5/20 - 5*l**4/6 + 4*l**3/3 + l - 5014. Factor q(r).
r*(r - 1)**2*(r + 2)*(r + 4)
Let i(p) be the first derivative of -2*p**3/57 - 340*p**2/19 - 57800*p/19 - 204. Factor i(g).
-2*(g + 170)**2/19
Factor -244/5*a + 86/5*a**2 + 32 - 2/5*a**3.
-2*(a - 40)*(a - 2)*(a - 1)/5
Let g(y) be the third derivative of y**8/20160 + y**7/56 + 45*y**6/16 + 7*y**5/12 - 101*y**2. Let x(u) be the third derivative of g(u). Solve x(l) = 0.
-45
Let m(k) = k**3 - 2*k**2 + 2*k + 2. Let x = 162 - 160. Let b = -13 - -12. Let y(h) = -h**3 - h**2 + h + 1. Let i(o) = b*m(o) + x*y(o). Solve i(u) = 0.
0
Let b(l) be the first derivative of l**5 - 25*l**4/2 + 95*l**3/3 + 75*l**2 + 424. Factor b(d).
5*d*(d - 6)*(d - 5)*(d + 1)
Let o be -27 + (-13449)/(-15) + (-1 - -15). Solve -188/5*h + 2/5*h**2 + o = 0.
47
Factor 25/3*x**3 + 5*x + 35/3*x**2 + 5/3*x**4 + 0.
5*x*(x + 1)**2*(x + 3)/3
Let d = -1571687/45 - -174633/5. Suppose 0 + 2/9*g + 16/9*g**4 - 20/9*g**3 + d*g**2 = 0. What is g?
-1/4, 0, 1/2, 1
Let l(o) be the third derivative of o**5/210 + 101*o**4/84 + 388*o**3/21 - 47*o**2. Factor l(r).
2*(r + 4)*(r + 97)/7
Let y(d) be the third derivative of 1/165*d**5 + 0*d + 1/132*d**4 - 1/330*d**6 - 1/33*d**3 - 4*d**2 + 1/1848*d**8 - 1/1155*d**7 + 2. Factor y(a).
2*(a - 1)**3*(a + 1)**2/11
Let o(h) = -35 - 15*h**2 + 69*h**2 + 12*h - 57*h**2. Let y(n) = 5*n**2 - 19*n + 52. Let r(i) = -8*o(i) - 5*y(i). Factor r(b).
-(b - 4)*(b + 5)
Let a(u) = -15*u**2 - 15*u + 3. Let t(d) = d**2 - d. Let i(m) = -a(m) + 6*t(m). Let h(s) = -2*s**2 + 1. Let j(f) = -9*h(f) - i(f). Let j(l) = 0. What is l?
-2, -1
Let d(r) be the second derivative of 3/8*r**4 + r + 1/200*r**6 + 7/100*r**5 - 12 + 9/10*r**3 - 37/2*r**2. Let y(j) be the first derivative of d(j). Factor y(a).
3*(a + 1)*(a + 3)**2/5
Suppose -d + 0*d + 39 = 3*g, 0 = 5*g - 2*d - 54. Suppose 5*z - 15 = -0*z - i, 3*z = i + 9. Factor 5*p**3 - 3*p**3 + p**2 + 8*p**2 + p**z - g*p.
3*p*(p - 1)*(p + 4)
Let o = -4622 - -4645. Let a(w) be the first derivative of -1/26*w**4 + o + 10/39*w**3 + 0*w - 4/13*w**2. Factor a(c).
-2*c*(c - 4)*(c - 1)/13
Let c(t) be the third derivative of -17/60*t**5 + 2/15*t**6 + 34*t + 1/210*t**7 + 0 + 0*t**4 - 3*t**2 + 0*t**3. Factor c(s).
s**2*(s - 1)*(s + 17)
Let j = -13185 - -13187. Determine b, given that 1/5*b**4 + 0 - 14/5*b - 2*b**3 + 23/5*b**j = 0.
0, 1, 2, 7
Let o be (-16856)/48 - 2/(-12). Let x = -348 - o. Factor 0 + 0*w**2 + 2/11*w**5 - 2/11*w**4 - 4/11*w**x + 0*w.
2*w**3*(w - 2)*(w + 1)/11
Suppose -4*h + 21 = 5*v, -11*v + 10 = -8*v + 5*h. Let m = -546 + 548. Factor -7/4*z**3 + 5/4*z**4 - 4*z - 21/4*z**m + 3/4*z**v - 1.
(z - 2)*(z + 1)**3*(3*z + 2)/4
Factor -380*b - 108300 - 1/3*b**2.
-(b + 570)**2/3
Let n(p) be the first derivative of -p**7/280 - p**6/24 - p**5/5 - p**4/2 - 106*p**3/3 - 167. Let c(b) be the third derivative of n(b). What is d in c(d) = 0?
-2, -1
Factor 1149*y**4 + 3*y**5 - 15*y + 9*y**3 - 8*y**2 + 1141*y**4 - 2275*y**4 + 3*y - 7*y**2.
3*y*(y - 1)*(y + 1)**2*(y + 4)
Let a(d) be the second derivative of -d**4/54 - 17*d**3/3 + 310*d**2/9 - 249*d + 1. Factor a(i).
-2*(i - 2)*(i + 155)/9
Let a be (-1)/(-15) - 3/(-2)*(-128)/(-320). Factor -10*f + a*f**3 - 16/3 - 4*f**2.
2*(f - 8)*(f + 1)**2/3
Suppose -p - 3*y - 132 = -157, 5*y = -27*p + 219. Find k, given that -1/2*k**2 - p*k - 13/2 = 0.
-13, -1
Let c(l) be the third derivative of l**7/42 + 11*l**6/8 - 17*l**5/6 - 5*l**2 - 179. Find b, given that c(b) = 0.
-34, 0, 1
Find c, given that -11305 + 372*c**3 - 7424*c + 5161 - 928*c**2 + 15*c**4 + c**4 - 4*c**5 = 0.
-8, -3, -1, 8
Determine m so that -1/10*m**2 + 139/10*m - 204/5 = 0.
3, 136
Let k(z) = 5*z**2 - 12*z + 18. Let d be k(2). Suppose 17*i - d*i - 6 = 0. Factor 24/5*o + 0 + 3/5*o**i.
3*o*(o + 8)/5
Let r(l) be the third derivative of 0*l**3 + 1/3*l**4 - 90*l**2 + 1/15*l**5 + 0*l + 0. Suppose r(k) = 0. Calculate k.
-2, 0
Let w(x) be the second derivative of 145/6*x**3 + 0 + 7/4*x**5 - 45/4*x**4 - 11*x + 1/6*x**6 - 25*x**2. Factor w(z).
5*(z - 1)**3*(z + 10)
Let g(u) be the third derivative of -u**7/840 - 3*u**6/40 - 17*u**5/120 + 3*u**4/8 + 35*u**3/24 - 382*u**2. Factor g(a).
-(a - 1)*(a + 1)**2*(a + 35)/4
Suppose 0 = -47*m - 86 - 478. Let s be (0*(m/(-8) + -1))/(-1). Factor -3/10*i**2 + s*i - 1/10*i**4 - 2/5*i**3 + 0.
-i**2*(i + 1)*(i + 3)/10
Let i(l) = l**5 - l**4 + 2*l**2 + l. Let g = 181 + -178. Let r(n) = -5*n**5 + 11*n**3 - 14*n**2 - 4*n. Let f(t) = g*r(t) + 12*i(t). Factor f(u).
-3*u**2*(u - 1)**2*(u + 6)
Suppose -3*w + 658 = -x, -2*w + w + 1321 = -2*x. Let l = x - -1987/3. Factor 4*b + l*b**2 - 16/3.
4*(b - 1)*(b + 4)/3
Factor 58/5*v**3 + 392/5*v + 2/5*v**4 + 448/5*v**2 + 0.
2*v*(v + 1)*(v + 14)**2/5
Let j(h) be the second derivative of h**5/110 - h**4/3 + 11*h**3/3 + 209*h + 1. Factor j(m).
2*m*(m - 11)**2/11
Factor 0 + 96*w + 15/2*w**3 + 3/4*w**4 - 66*w**2.
3*w*(w - 4)*(w - 2)*(w + 16)/4
Suppose 124*l - 2055 = -561*l. Solve 27/7*r - 51/7*r**2 - 51/7*r**l + 15/7 - 12/7*r**5 + 72/7*r**4 = 0 for r.
-1/2, 1, 5
Solve -413*o**2 + 105*o**4 + 6336 - 119*o**2 - 5856*o - 32*o**4 + 48*o**3 - 34*o**4 - 35*o**4 = 0.
-12, 1, 11
Let f(l) be the third derivative of -l**7/735 + l**6/35 - 29*l**5/210 + 3*l**4/14 - 3*l**2 - 37*l. Factor f(m).
-2*m*(m - 9)*(m - 2)*(m - 1)/7
Let n(q) = -8*q**2 - 74*q - 18. Let k be n(-9). Let i(c) be the third derivative of -1/80*c**6 + 0 + 0*c + 1/40*c**5 + 0*c**3 - 2*c**2 + k*c**4. Factor i(o).
-3*o**2*(o - 1)/2
Let s(m) be the third derivative of -5/21*m**3 - 61*m**2 - 2*m - 1/14*m**4 - 1/210*m**5 + 0. What is g in s(g) = 0?
-5, -1
Let f(c) be the second derivative of 8*c**7/7 + 348*c**6/5 - 12621*c**5/20 + 1277*c**4 - 1809*c**3/2 + 294*c**2 - 13200*c. Solve f(q) = 0.
-49, 1/4, 1, 4
Let w be ((-21)/(-36))/((-1974)/(-188)). Let k(l) be the third derivative of 1/360*l**5 + 0 + 9*l**2 - 1/48*l**4 + w*l**3 + 0*l. Let k(p) = 0. Calculate p.
1, 2
Let i(s) be the first derivative of s**4/78 - 11*s**3/39 - 12*s**2/13 + 114*s - 115. Let y(b) be the first derivative of i(b). Factor y(l).
2*(l - 12)*(l + 1)/13
Let j(t) be the second derivative of -t**5/130 + 29*t**4/78 + 10*t**3/13 - 910*t. Let j(w) = 0. What is w?
-1, 0, 30
Let q be 370/14*902/110. Let n = 217 - q. Factor -n*x + 2/7*x**2 + 0 - 2/7*x**4 + 2/7*x**3.
-2*x*(x - 1)**2*(x + 1)/7
Suppose -3829*f = -3827*f + 2. Let c be 16/(-48) - f/3. Let -5/4*t**4 + c - 15/2*t - 5/4*t**2 + 5*t**3 = 0. Calculate t.
-1, 0, 2, 3
Suppose u - 32*t + 36*t = 20, -u - 20 = -4*t. Let z(a) be the first derivative of 0*a + 10/3*a**3 + 5/4*a**4 + u*a**2 - 27. Factor z(p).
5*p**2*(p + 2)
Suppose 21*p + 807 - 849 = 0. Factor -15/4 + 21/8*o - 3/8*o**p.
-3*(o - 5)*(o - 2)/8
Let m(p) be the second derivative of -9*p**4/4 - 568*p**3 - 378*p**2 - 3088*p. Factor m(s).
-3*(s + 126)*(9*s + 2)
Let c(d) be the first derivative of d**6/3 + 66*d**5/5 + 59*d**4/2 - 202*d**3/3 - 252*d**2 - 248*d + 69. Determine w, given that c(w) = 0.
-31, -2, -1, 2
Let x be 678/(-14) + (194 - 141). Factor 48*m + 126*m**2 + x.
2*(21*m + 4)**2/7
Let q(z) be the third derivative of z**7/2100 - 9*z**5/100 - 9*z**4/10 - z**3/6 - 207*z**2. Let i(x) be the first derivative of q(x). Solve i(h) = 0.
-3, 6
Let r(d) be the first derivative of 5*d**3/3 - 5*d**2 - 840*d - 1045. Determine l, given that r(l) = 0.
-12, 14
Let y = -1336/9 + 6704/45. Let a(h) be the first derivative of -8/9*h**3 - 1/9*h**6 - 24 - 5/3*h**2 + h**4 + 0*h + y*h**5. Suppose a(p) = 0. What is p?
-1, 0, 1, 5
Suppose -4*o = -3*g - 29, -5*o + 10*o - 10 = -5*g. Solve 2 + 1 + b**2 - 5*b + 5*b - 71*b**3 + o*b + 70*b**3 = 0.
-1, 3
Suppose 3859*s = 3865*s + 2322. Let q = -385 - s. Determine h so that 3/4*h + 0 + 5/4*h**3 - 2*h**q = 0.
0, 3/5, 1
Let l(h) be the second derivative of h**5/100 - h**4/12 - 37*h**3/5 - 108*