at is t in a(t) = 0?
-1, 1/4, 1
Let f be (36/(-48))/((-51)/(-90)). Let z = 3/17 - f. Factor -3 + 3/2*r**2 - z*r.
3*(r - 2)*(r + 1)/2
Determine s, given that -231/2*s**2 - 360*s + 3/2*s**3 + 0 = 0.
-3, 0, 80
Let p = -173 - -131. Let y be 4/10 + p/105. Factor y*l**2 + 4/3 + 2*l - 2/3*l**3.
-2*(l - 2)*(l + 1)**2/3
Let s(h) be the third derivative of 0*h + 1/40*h**6 - 8*h**2 - 2197/2*h**3 - 39/20*h**5 + 507/8*h**4 + 5. Factor s(m).
3*(m - 13)**3
Let x = -260123 - -260126. Factor -8/7 - 18/7*k**2 - 20/7*k - 1/7*k**4 - k**x.
-(k + 1)*(k + 2)**3/7
Suppose 4*h = 4*o + 40, -2*h + 5 = o - 27. Let x be (-20)/5 - (7 - h). Suppose 0 - 8/9*g + 0*g**2 + 2/9*g**x = 0. Calculate g.
-2, 0, 2
Let f(l) be the second derivative of l**7/14 + l**6 + 18*l**5/5 + 11*l**4/2 + 7*l**3/2 - 1131*l. Factor f(x).
3*x*(x + 1)**3*(x + 7)
Let w(h) be the second derivative of -h**5/30 + 13*h**4/3 - 676*h**3/3 - 65*h**2/2 - 26*h. Let v(o) be the first derivative of w(o). Find d such that v(d) = 0.
26
Let n(f) be the second derivative of f**6/30 + 9*f**5/10 - 5*f**4 + 31*f**3/3 - 21*f**2/2 + 1100*f + 2. Factor n(c).
(c - 1)**3*(c + 21)
Let f(d) be the first derivative of 4*d**3/3 + 220*d**2 - 1140. Factor f(w).
4*w*(w + 110)
Let o be -6 - -2 - (4 - 788). Factor -o*z + 0*z**3 + 6*z**3 - 900 + 116*z**2 - 17*z**3 + 7*z**3.
-4*(z - 15)**2*(z + 1)
Factor 3/7*k**2 + 354/7*k + 1035/7.
3*(k + 3)*(k + 115)/7
Let r(n) be the first derivative of -6/7*n**2 + 4*n**3 + 263 + 0*n - 177/28*n**4 + 3*n**5. Let r(q) = 0. Calculate q.
0, 2/7, 2/5, 1
Let y(w) be the second derivative of 2*w**4 + 10*w**3 + 19*w - 1/5*w**5 + 16*w**2 + 0. Solve y(x) = 0.
-1, 8
Let a(u) be the second derivative of 1922*u**6/3 - 992*u**5 + 625*u**4/12 - 5*u**3/6 + 1160*u. Factor a(f).
5*f*(f - 1)*(62*f - 1)**2
Let a(n) be the first derivative of n**3/3 - 15*n**2/2 + 40*n - 27. Let f be a(12). Factor s**4 + 23*s**4 - 12*s**f + 3*s**3 + 5*s**3.
4*s**3*(3*s + 2)
Let y(z) be the third derivative of z**6/240 + 2*z**5/3 - 875*z**4/48 + 375*z**3/2 - 955*z**2 - 4. Factor y(g).
(g - 5)**2*(g + 90)/2
Factor -54*l**5 - 539*l - 228*l**3 + 191*l**5 + 26*l**4 - 64*l**5 + 742*l**2 - 74*l**5.
-l*(l - 11)*(l - 7)**2*(l - 1)
Let r = -26694 - -26696. Factor 26/3*t - 169/3 - 1/3*t**r.
-(t - 13)**2/3
Let j(y) be the second derivative of y**5/150 - 7*y**4/180 - 2*y**3/15 - 35*y**2/2 + y. Let z(g) be the first derivative of j(g). Suppose z(r) = 0. What is r?
-2/3, 3
Let t be (-14)/(-7)*1 + (-516)/40. Let m = 23/2 + t. Solve 4/5*n**2 - 1/5*n + 0 - m*n**3 = 0.
0, 1/3, 1
Factor 98568 + 2668/9*y**3 + 197432*y + 2/9*y**4 + 892442/9*y**2.
2*(y + 1)**2*(y + 666)**2/9
Let h = -71 - -295. Let k = -224 + h. Find x such that -3/4*x**3 + 3/4*x**2 + k - 1/4*x + 1/4*x**4 = 0.
0, 1
Let l(t) be the third derivative of t**7/84 - 23*t**6/240 - t**5/3 - t**4/4 + 1136*t**2. Factor l(q).
q*(q - 6)*(q + 1)*(5*q + 2)/2
Let y(x) be the first derivative of 17 - 5/6*x**6 - x**5 + 5*x**4 + 0*x**2 + 0*x + 20/3*x**3. Suppose y(c) = 0. What is c?
-2, -1, 0, 2
Let g(s) be the second derivative of 3*s**5/100 - s**4/20 - 12*s**3/5 - 54*s**2/5 + 58*s - 5. What is z in g(z) = 0?
-3, -2, 6
Let m(y) be the third derivative of 0*y + 52*y**2 + 11/10*y**5 + 7/8*y**4 + 0 + 0*y**3 + 3/40*y**6. Find h such that m(h) = 0.
-7, -1/3, 0
Let k(d) be the third derivative of -d**7/1260 + 3*d**6/80 - 5*d**5/72 - 3*d**4/16 + 13*d**3/18 + 118*d**2 - 6*d. Find i, given that k(i) = 0.
-1, 1, 26
Let g be 31 + -54 + 46/2. Let -1/3*q**3 - 2*q**2 + 16/3*q + g = 0. What is q?
-8, 0, 2
Let k be (-736)/28 + 2/7. Let j = k + 31. Suppose -u**2 + 7*u**2 + j*u**3 + 0*u**4 - 5*u**4 + 4*u**2 = 0. Calculate u.
-1, 0, 2
Let n = 30671/563280 + -2/7041. Let h(f) be the third derivative of 1/84*f**7 + 1/12*f**4 + 10*f**2 + 0*f + 0*f**3 + 1/30*f**5 + 0 - n*f**6. Solve h(g) = 0.
-2/5, 0, 1, 2
Suppose 13*y = 17*y - 8. Let r(w) be the first derivative of -28*w**2 + 25*w**2 + 6 + w**3 - y*w**3. Suppose r(a) = 0. Calculate a.
-2, 0
Suppose 3*t + 3*x = 6*x + 18, t = -2*x. Factor -82*a**2 - 16*a - 12*a + 3*a**5 + 5*a**4 - 78*a**3 - a**5 - 27*a**t.
2*a*(a - 14)*(a + 1)**3
Find g such that -306*g**3 + 31764*g**2 - 15*g**4 - 16599*g**2 - 1224*g - 780*g - 540 - 16920*g**2 = 0.
-10, -9, -1, -2/5
Factor -10/11*h - 12 + 2/11*h**2.
2*(h - 11)*(h + 6)/11
Let j(x) = -x**3 - 2*x**2 - 6. Let r be j(-3). Let t be 1 - -10 - 1456/144. Find y such that 8/9*y**r + t - 2/9*y**4 - 8/9*y - 2/3*y**2 = 0.
-1, 1, 2
Let h(c) = c**3 - 25*c**2 + 21*c + 76. Let k be h(24). Let w(y) be the third derivative of 0*y - 1/24*y**3 + 0*y**k + 1/240*y**5 + 0 - 21*y**2. Factor w(d).
(d - 1)*(d + 1)/4
Suppose -1148*t = 1260*t - 776*t - 3261 - 1635. Solve -6750/17*x + 2/17*x**4 + 0 - 90/17*x**t + 1350/17*x**2 = 0 for x.
0, 15
Let l(d) be the first derivative of d**5/4 + 5*d**4/12 + 26*d - 57. Let p(i) be the first derivative of l(i). Solve p(a) = 0 for a.
-1, 0
Let l = -678311/9 + 75368. Determine k, given that 7/9*k + l*k**2 + 0 = 0.
-7, 0
Let t be (723/(-4820))/((-27)/45). Find d such that -3/4*d**2 + 0 + 0*d - t*d**3 = 0.
-3, 0
Let -332*v**4 - 2*v**3 + 327*v**4 + 7*v**3 - 2*v + 5*v**2 - 3*v = 0. Calculate v.
-1, 0, 1
Let x(t) be the first derivative of -t**6/14 + 39*t**5/35 + 765*t**4/14 + 4450*t**3/7 + 47625*t**2/14 + 61875*t/7 - 1799. Factor x(s).
-3*(s - 33)*(s + 5)**4/7
Let h = 9118 + -9114. Let r(s) be the second derivative of -2*s**3 + 1/14*s**7 + 12*s + 9/20*s**5 + 0 + s**h - 2/5*s**6 + 0*s**2. Factor r(i).
3*i*(i - 2)**2*(i - 1)*(i + 1)
Let a(p) be the second derivative of p**7/8820 - p**6/180 + 13*p**5/420 + 23*p**4/12 + 18*p. Let k(w) be the third derivative of a(w). Solve k(s) = 0 for s.
1, 13
Let f(s) = -2*s**3 - 43*s**2 - 197*s - 159. Let u(t) = 11*t**3 + 255*t**2 + 1180*t + 953. Let o(g) = 34*f(g) + 6*u(g). Let o(x) = 0. Calculate x.
-4, -1, 39
Find t such that 15693*t - 15228*t + 53 - 53 - 5*t**2 = 0.
0, 93
Let a(j) = -23*j + 8881*j**3 - 4 + 2 + 12*j**2 - 8868*j**3. Let i(z) = -28*z**3 - 24*z**2 + 47*z + 5. Let c(t) = -5*a(t) - 2*i(t). Factor c(y).
-3*y*(y - 1)*(3*y + 7)
Let x be 3562/(-6) + (50/15)/(-10). Let p = x + 1784/3. Factor p*u**4 - 2/3 + 4/3*u**3 + 0*u**2 - 4/3*u.
2*(u - 1)*(u + 1)**3/3
Let h be (2/(-20))/(18/30)*-6. Let f(m) = -16*m**2 + 65*m - 96. Let g(u) = -u**2 - 1. Let b(v) = h*f(v) - 6*g(v). Determine o, given that b(o) = 0.
2, 9/2
Let t(a) be the second derivative of 3*a**5/20 + 41*a**4/2 - 167*a**3/2 + 126*a**2 + 1450*a. Let t(d) = 0. Calculate d.
-84, 1
Suppose -4*k - 5*l + 511 = 0, -4*l - 646 = -5*k - 3*l. Factor 2*j**5 + k*j**4 - 264*j**4 + 133*j**4.
2*j**4*(j - 1)
Suppose -879 - 197 + 344*z + 49 - 43 - 1419*z - 5*z**2 = 0. Calculate z.
-214, -1
Let y(d) be the third derivative of 0*d - 1/90*d**5 + 2*d**3 - 27*d**2 + 7/36*d**4 - 5. Factor y(k).
-2*(k - 9)*(k + 2)/3
Let g(w) be the second derivative of -3*w**5/100 + 7*w**4/20 + 49*w**3/5 - 7207*w. Factor g(r).
-3*r*(r - 14)*(r + 7)/5
Let -2500*u - 86*u + 213*u**2 - 3*u**3 + 10404 - 1922*u + 428*u = 0. Calculate u.
3, 34
Determine m so that -13/2*m + 1/2*m**2 + 6 = 0.
1, 12
Let l = -1162 + 1165. Suppose 4*d = -3*x + 17, x - 6*x + 7 = -4*d. Factor 4*n**2 + 3*n**3 + 2 - 8*n**4 - 2*n**5 - 7*n**3 - 4*n**l + 10*n + d.
-2*(n - 1)*(n + 1)**3*(n + 2)
Let x(q) = q**2 + 9*q + 2. Let t be x(-9). Let f be ((-20)/(-15))/(t/3). Find m such that 3*m**3 - 39*m**2 + 9 - 4*m**f + 19*m**2 - 3*m + 15 = 0.
-1, 1, 8
Suppose 0 = 2*b - 2*k - 252 + 54, b - 4*k - 84 = 0. Factor -50*d**2 + 5*d**3 + b*d**2 - 29*d**2 - 70*d.
5*d*(d - 2)*(d + 7)
Let p(o) be the second derivative of 0 - 5*o**2 + 38*o - 1/12*o**3 + 13/24*o**4 - 169/120*o**5. Let y(n) be the first derivative of p(n). Factor y(b).
-(13*b - 1)**2/2
Let s be ((-2)/(-66))/(2039/44858). Factor s*r**2 - 16/3*r + 14/3.
2*(r - 7)*(r - 1)/3
Let u be -4*510/(-252) - 8*1. Let z(x) be the first derivative of -u*x**3 + 1/2*x**4 - 8/7*x + 1/21*x**6 + 2/7*x**5 - 6 - 8/7*x**2. Solve z(s) = 0.
-2, -1, 1
Let m(l) be the third derivative of -l**7/84 - 31*l**6/240 + 37*l**5/60 + l**4/3 - l**2 + 636. Let m(y) = 0. What is y?
-8, -1/5, 0, 2
Determine z, given that 248/7*z + 36*z**2 - 4/7 = 0.
-1, 1/63
Let a(m) be the second derivative of 13*m - 51/10*m**3 + 1/50*m**6 - 13/20*m**4 + 9/100*m**5 + 0 - 54/5*m**2. Determine b so that a(b) = 0.
-3, -1, 4
Suppose 1