t derivative of 3/2*v**3 - 3/8*v**4 - 5/4*v**2 - 15 - 1/10*v**5 + 0*v. Determine i, given that q(i) = 0.
-5, 0, 1
Let 327/5*g - 609/5 + 12/5*g**2 = 0. What is g?
-29, 7/4
Let y(s) be the second derivative of -s**6/24 - s**5/4 + 10*s**3/3 - 42*s**2 + 12*s. Let o(i) be the first derivative of y(i). Determine x so that o(x) = 0.
-2, 1
Let g = 7208 + -7206. Let l(o) be the first derivative of 19 - 2/5*o**5 - 2*o**2 + o**4 + g*o + 0*o**3. Factor l(j).
-2*(j - 1)**3*(j + 1)
Let f = -10026 + 10026. Let k(t) be the first derivative of 0*t - t**2 + f*t**3 + 25 + 1/2*t**4. Factor k(u).
2*u*(u - 1)*(u + 1)
Let n be -8 + 20/4 + 8. Suppose -20 = -4*h - n*a, 10*a - 9*a = -h + 4. Suppose h + 1/3*g**3 + 0*g + 0*g**2 = 0. What is g?
0
Factor 88*d**3 - 18*d**2 + 2*d**4 - 19*d**3 - 7*d**4 + 480*d + 36*d**3 - 412*d**2.
-5*d*(d - 16)*(d - 3)*(d - 2)
Let a = 535/3356 + 76/839. Let -a*o**2 - 11/4*o - 5/2 = 0. What is o?
-10, -1
Let o(j) = 8*j + 8. Let k be o(-1). Let h be (243/(-84) + 3)*(32 - k). Let 48/7 + 3/7*u**2 - h*u = 0. Calculate u.
4
Let g(a) be the third derivative of -11/15*a**5 + 1/30*a**6 + 5/2*a**4 + 0*a + 18*a**3 + 219*a**2 + 0. Factor g(j).
4*(j - 9)*(j - 3)*(j + 1)
Suppose 0 = 7*r - 773 + 1046. Let l be (-5)/(-15) + 13/r. What is a in 0 - 2*a**4 + l*a - 8/3*a**2 - 4*a**3 - 1/3*a**5 = 0?
-2, 0
Factor -2/5*g**3 + 2/5*g + 4/5*g**2 - 4/5.
-2*(g - 2)*(g - 1)*(g + 1)/5
Let p = 2 + -2. Suppose -z - 4*z + 15 = p. Let -14*q**3 - 5*q**2 + 57*q**2 + 9*q**z - 2*q**2 = 0. What is q?
0, 10
Let i be (3441/(-9176))/((-2)/16). Factor -7/2*q + 1/6*q**i - 15/2 + 1/6*q**2.
(q - 5)*(q + 3)**2/6
Suppose 0 = 3*f + 3, -2*y + 10 = -0*y - 4*f. Let j(q) = 94*q + 6. Let h be j(0). Factor 2 + h*a**2 - 8 - y*a**3 + a**3 + 9*a - 7*a**3.
-3*(a - 1)*(a + 1)*(3*a - 2)
Let u be -2 + (6 - 4)*2 + 9. Suppose 2*s - 5*m + u = -s, -5*s - m + 19 = 0. Solve -1/3*h**4 + h**2 - 1/3*h - 2/3 + 1/3*h**s = 0 for h.
-1, 1, 2
Suppose -2*n + 890 - 876 = 0. Suppose 0 = 3*v - n*v. Solve 0*a + v - a**2 + 1/2*a**3 = 0.
0, 2
Let c(o) = 7*o**3 - 3*o**2 + 3*o + 4. Let y(f) = -5724 + 4*f**2 - 2*f - f**2 + 5720 - 5*f**3. Let t(q) = -2*c(q) - 3*y(q). Factor t(s).
(s - 2)**2*(s + 1)
Suppose 248 = 6*m + 236. Find q such that -26*q**m - 37*q**2 + 4*q**4 - 2*q**5 + 91*q**2 + 10*q + 24*q**3 = 0.
-1, 0, 5
Let o(t) be the second derivative of t**7/126 - 29*t**6/3 + 4205*t**5 - 6097250*t**4/9 + t + 134. Find g, given that o(g) = 0.
0, 290
Let b(h) be the first derivative of 1/54*h**6 + 0*h**4 - 1/5*h**5 + 104/27*h**3 - 16*h + 8/3*h**2 - 6. Solve b(a) = 0.
-2, 1, 6
Suppose -81 = -11*v + 161. Suppose -3*q + 2*y + v = 0, 21 = -6*q + 5*q - 5*y. What is k in -k + 2*k + q + 2 + 3*k - 2*k**2 = 0?
-1, 3
Let d(m) = -m**3 + 34*m**2 - 34*m + 35. Let w be d(33). Factor 2*n**4 - w*n**3 + 56*n**2 - 52*n**2 + 8*n**3.
2*n**2*(n + 1)*(n + 2)
Let d = -322687 + 322691. Determine f so that -2/15*f**d + 4/15*f**2 - 2/15 + 0*f + 0*f**3 = 0.
-1, 1
Let x = -416 - -416. Let r = -3981 - -3984. Find u, given that 0*u**2 - 1/9*u**4 + 0*u + x + 1/3*u**r = 0.
0, 3
Let y(i) be the first derivative of i**2 - 24*i - 260. Let x be y(12). Factor 2/11*m**4 + x - 10/11*m**3 + 10/11*m - 2/11*m**2.
2*m*(m - 5)*(m - 1)*(m + 1)/11
Let t be (-12)/324 + (-2628)/(-972). Determine m, given that t*m**2 + 2*m**3 + 0 - 7/3*m + 1/3*m**5 - 8/3*m**4 = 0.
-1, 0, 1, 7
Let s(x) be the third derivative of 0 - 5/21*x**7 - 5/144*x**8 + 0*x + 17/36*x**6 + 10/9*x**5 + 225*x**2 - 15/8*x**4 - 25/9*x**3. Find v such that s(v) = 0.
-5, -1, -2/7, 1
Let a = 2143 - 2137. Let j be a + (-130)/(-35)*14/(-10). Let 0*q**2 + 16/5*q**3 + 0 + 0*q + j*q**4 = 0. Calculate q.
-4, 0
Let c = 13/374 - -5/34. Factor c*l - 4/11 + 2/11*l**2.
2*(l - 1)*(l + 2)/11
Let r(a) be the second derivative of 8*a**3 - 11*a - 1/14*a**7 + 0*a**5 + 7 - 72*a**2 - 7/10*a**6 + 10*a**4. Solve r(l) = 0 for l.
-6, -2, 1, 2
Solve -13760/13*y**3 + 10800/13*y**2 + 111520/13*y - 161376/13 + 330/13*y**4 - 2/13*y**5 = 0 for y.
-3, 2, 82
Let g = -1094 + 1091. Let d be (-9)/g*-2 + 104/12. Suppose 0 - 25/3*i - 1/3*i**5 - d*i**4 - 2*i**3 + 40/3*i**2 = 0. Calculate i.
-5, 0, 1
Let r(f) be the third derivative of -f**7/945 - 19*f**6/270 - 367*f**5/270 - 55*f**4/18 + 110*f**2 + 18. Let r(a) = 0. What is a?
-22, -15, -1, 0
Let w(l) be the first derivative of 5*l**7/42 + 2*l**6/3 - l**5/2 - 5*l**4 + 15*l**3/2 - 57*l + 50. Let b(i) be the first derivative of w(i). Factor b(f).
5*f*(f - 1)**2*(f + 3)**2
Let c(f) = -f**3 + 10*f**2 - 5*f + 22. Let p be c(9). Determine z so that -95 - 23*z + 5*z**2 + 5 + p*z = 0.
-9, 2
Suppose 0 = 20*q - 14*q - 12. Suppose 0*s - 20 = -5*s. Factor -4*d**s + 12*d**q - 10*d**3 + d**4 + 5*d**4 + 0*d - 16 + 8*d.
2*(d - 2)**3*(d + 1)
Let a(w) be the first derivative of 92 - 6*w + 2*w**3 + 1/2*w**4 - w**2. Determine i, given that a(i) = 0.
-3, -1, 1
Let l(p) be the third derivative of p**8/2520 + p**7/45 + 259*p**6/900 + p**5/2 - 1089*p**2 + 4. What is i in l(i) = 0?
-25, -9, -1, 0
Suppose -84*l - 129*l = -136*l. Factor -3/2*o**3 + o**2 + l + 0*o + 1/2*o**4.
o**2*(o - 2)*(o - 1)/2
Let -4/3*o**3 + 1296 + 848*o + 292/3*o**2 = 0. What is o?
-6, -2, 81
Let l = 27127/20343 - 1/6781. Factor -56/3 + l*c**2 + 52/3*c.
4*(c - 1)*(c + 14)/3
Suppose -4*m + 2*m - d = -7, m + 4*d = 0. Find h such that 113*h**4 - 140*h**3 - 32 - 36*h**5 - 120*h**2 + 108*h**4 + 176*h - 35*h**4 - 34*h**m = 0.
-1, 2/9, 1, 2
Let u = 8361 - 8357. Let p(a) be the second derivative of -1/3*a**u + 0 + 5*a + 1/10*a**5 + 0*a**2 + 1/3*a**3. Find j such that p(j) = 0.
0, 1
Let y = -92 - -113. Let d(v) = -v**3 + 24*v**2 - 62*v - 15. Let i be d(y). Determine b so that -4*b - 2/3*b**2 - i = 0.
-3
Suppose -3176 = -1933*p + 690. Let 31/2*j**p + 3/4*j**3 - 21/2 - 23/4*j = 0. Calculate j.
-21, -2/3, 1
Let t(p) be the second derivative of p**5/150 + p**4/15 - 4*p**3/5 + 95*p**2/2 + 51*p. Let i(a) be the first derivative of t(a). Factor i(z).
2*(z - 2)*(z + 6)/5
Suppose 3*l + 285 = -2*z, 0 = -z + 3*l - 112 - 44. Let u = z + 149. Factor -22/7*o - 12/7 - 6/7*o**u.
-2*(o + 3)*(3*o + 2)/7
Let -211/3*i**3 + 1/3*i**4 + 211/3*i - 418/3 + 139*i**2 = 0. Calculate i.
-1, 1, 2, 209
Let j(v) be the third derivative of v**6/420 + v**5/35 - 3*v**4/28 - 2*v**3/3 + 5*v**2 - 30*v. Determine a, given that j(a) = 0.
-7, -1, 2
Let t(l) be the third derivative of 5*l**8/168 + 11*l**7/42 + l**6 + 13*l**5/6 + 35*l**4/12 + 5*l**3/2 + 53*l**2 - 7*l. Determine o so that t(o) = 0.
-3/2, -1
Let d be (-2)/63 - (-23712)/143640. Let d*k - 2/15*k**2 + 8/5 = 0. Calculate k.
-3, 4
Suppose -z + 17*z + 2 = 82. Let l(j) be the first derivative of 3/22*j**4 + 0*j + 22 - 3/11*j**2 + 2/55*j**z - 2/33*j**3. Factor l(r).
2*r*(r - 1)*(r + 1)*(r + 3)/11
Suppose -2006*r + 41206 + 2*r**2 + 2562*r - 2564 = 0. Calculate r.
-139
Let f(g) = 3*g + 56. Let q be f(-16). Factor 12*h**2 + 8*h**2 - q*h**2 - 5846*h + 3*h**3 + 5855*h.
3*h*(h + 1)*(h + 3)
Let n(j) = 14*j**2 + 28*j + 10. Let r(c) = -11*c**2 - 31*c - 8. Let d(t) = 4*n(t) + 5*r(t). Find a such that d(a) = 0.
0, 43
Let o(c) be the third derivative of -c**5/120 - c**4/18 + c**3/12 - 2073*c**2. Factor o(m).
-(m + 3)*(3*m - 1)/6
Let a(c) be the third derivative of c**5/180 + 29*c**4/72 + 14*c**3/9 + 31*c**2 + 19. Find x such that a(x) = 0.
-28, -1
Let f be ((-102)/85)/((36/(-15))/4). Find v, given that 0*v**2 + 12*v + 172 - 190 - 2*v**f = 0.
3
Let i(o) be the third derivative of -1/2*o**5 + 1/70*o**7 + 0 + 0*o - 45*o**2 + 9/40*o**6 + 0*o**3 + 0*o**4. Solve i(f) = 0 for f.
-10, 0, 1
Let q(y) = 2 + 33*y**2 - 41*y**2 + y + 0*y - y**3 + 0. Let t(c) = 222*c**2 - 111*c**2 - 112*c**2. Let n(v) = q(v) - 6*t(v). Determine w so that n(w) = 0.
-2, -1, 1
Let b = -13937 + 13943. Let d(i) be the first derivative of 40 + 3/7*i**4 + 0*i**3 - 1/7*i**b + 0*i**2 + 0*i + 6/35*i**5. Factor d(f).
-6*f**3*(f - 2)*(f + 1)/7
Let w(q) = 18*q**2 - 2337*q + 343382. Let b(j) = 46*j**2 - 5842*j + 858454. Let c(x) = 7*b(x) - 18*w(x). Factor c(d).
-2*(d - 293)**2
Let l(s) be the first derivative of -8*s**5/95 + 15*s**4/38 + 16*s**3/57 - 15*s**2/19 - 8*s/19 - 5475. Solve l(p) = 0.
-1, -1/4, 1, 4
What is o in 8/5*o + 2*o**3 + 17/5*o**2 + 1/5*o**4 + 0 = 0?
-8, -1, 0
Let n(m) be the first derivative of -4*m**3/21 - 90*m**2/7 - 1296*m/7 + 5063. What is x in n(x) = 0?
-36, -9
Let g be (-99)/(-2