rivative of 0 - 1/2*k**2 - 13*k. Let y(v) = 5*b(v) + n(v). Solve y(s) = 0 for s.
-1, 2
Let w(k) be the first derivative of -k**5/105 - k**4/42 + 4*k**3/7 - 31*k**2/2 - 22. Let d(c) be the second derivative of w(c). Find h such that d(h) = 0.
-3, 2
Let h be (2 + -6)/(8/16). Let a be (h + 2)/(-1 - 1). Let -4*x**4 + 4*x**2 + 3*x - a*x - 2*x + 2*x**5 = 0. Calculate x.
-1, 0, 1
Let v(p) be the first derivative of 4*p**5/5 + 9*p**4 - 188*p**3/3 + 126*p**2 - 104*p - 467. Factor v(h).
4*(h - 2)*(h - 1)**2*(h + 13)
Let k(a) = 5*a**3 + 0 - 7 - 3*a + 2*a**3 - 3*a**2 - 4*a**3. Let u(o) = -o**3 + o**2 + o + 3. Let f(l) = 2*k(l) + 5*u(l). Let f(v) = 0. Calculate v.
-1, 1
What is y in 154/15*y + 4/15 - 26/5*y**2 = 0?
-1/39, 2
Let a(s) = s**2 + s. Let j = -16 - -11. Let z(c) = 24*c**2 + 9*c - 15*c**2 - 79 + 79. Let y(b) = j*a(b) + z(b). Factor y(i).
4*i*(i + 1)
Let i(w) be the third derivative of w**6/240 - w**5/4 - 21*w**4/16 - 8*w**3/3 - w**2 + 60. Let i(m) = 0. Calculate m.
-1, 32
Determine q, given that -151*q**2 - 5202 - 102*q - 102*q + 296*q**2 - 147*q**2 = 0.
-51
Let j = 4/471 - -898/5181. Factor 12/11*s**2 + 9/11*s + j + 5/11*s**3.
(s + 1)**2*(5*s + 2)/11
Let w(k) be the first derivative of -4*k**3/9 + 56*k**2 - 332*k/3 - 458. Factor w(s).
-4*(s - 83)*(s - 1)/3
Find c, given that 49*c + 15*c**3 + 31*c**3 + 11*c**4 + 34*c + 90*c**2 + 27 + c**5 - 2*c = 0.
-3, -1
Let b(x) be the third derivative of -x**7/105 + x**6/4 + 9*x**5/5 + x**4/3 - 24*x**3 + 284*x**2. Factor b(z).
-2*(z - 18)*(z - 1)*(z + 2)**2
Let j(v) = -v**2 + 13*v + 3. Suppose -2*u + 7 + 19 = 0. Let i be j(u). Let 2*t + t**2 + 4 - 3 - i - 3*t = 0. What is t?
-1, 2
Let d be 5/((-25)/(-2)) + (-760)/(-100). Let c(l) be the first derivative of 5*l**2 - 15*l - 5/9*l**3 - d. Suppose c(f) = 0. Calculate f.
3
Let h(s) = s**3 - s**2 - 13*s - 11. Let f be h(-2). What is p in -3/2*p**2 + 3/2*p**4 - p**f + p + 0 = 0?
-1, 0, 2/3, 1
Factor 2103*h**2 + 1682 + 120*h**3 + 54*h**4 - 23*h**4 + 3480*h - 29*h**4 - 187*h**2.
2*(h + 1)**2*(h + 29)**2
Let s(d) be the first derivative of d**4/16 + d**3/8 + d + 12. Let b(f) be the first derivative of s(f). Factor b(g).
3*g*(g + 1)/4
Let k(r) be the second derivative of r**8/15680 + r**7/2940 - r**6/240 + r**5/70 + r**4/3 + 11*r. Let q(y) be the third derivative of k(y). Factor q(o).
3*(o - 1)**2*(o + 4)/7
Let c = -165 - -1471/9. Let g = c + 26/9. Determine f, given that -127/3*f**3 - 32/3*f - 7*f**5 - 83/3*f**4 - g - 31*f**2 = 0.
-1, -2/3, -2/7
Let y(l) be the second derivative of l**6/360 - l**5/30 + l**4/6 - l**3 - 2*l. Let i(g) be the second derivative of y(g). What is h in i(h) = 0?
2
Let k(l) = l**2 - 10*l - 17. Let h be k(-13). Let b be (-9 - h/(-30))/(3/5). Factor -2/3*m**3 + b*m + 2/3 - 2/3*m**2.
-2*(m - 1)*(m + 1)**2/3
Let v = -32 + 31. Let h be (0 + 8/(-20))/v. Determine x, given that -4/15 + h*x - 2/15*x**2 = 0.
1, 2
Suppose -24 = -10*a - 14*a. Let n(z) be the first derivative of -3/2*z**4 - a + 0*z + 3/5*z**5 + 0*z**2 + 1/2*z**6 + 0*z**3. Factor n(v).
3*v**3*(v - 1)*(v + 2)
Let c(d) be the first derivative of d**3/3 + 51*d**2/2 + 12. Find g, given that c(g) = 0.
-51, 0
Let z(n) be the third derivative of 1/15*n**6 - 1/9*n**3 - 13/90*n**5 + n**2 - 4/315*n**7 + 0 + 1/6*n**4 + 0*n. Factor z(s).
-2*(s - 1)**2*(2*s - 1)**2/3
Let g(h) be the first derivative of -h**3/3 + 12*h**2 - 23*h - 264. Factor g(i).
-(i - 23)*(i - 1)
Let k(t) be the third derivative of 0 + 0*t + 13*t**2 + 1/84*t**4 + 1/420*t**5 - 1/14*t**3. Factor k(p).
(p - 1)*(p + 3)/7
Suppose 32 = -2*g + 4*g. What is i in 2*i + 3*i**4 - 4*i - 9*i**2 - g*i + 3*i - 6 + 3*i**3 = 0?
-1, 2
Let k(j) = j**4 + 3*j**3 + 26*j**2 + 6*j - 6. Let p(w) = -2*w**4 - 6*w**3 - 27*w**2 - 7*w + 7. Let b(v) = -7*k(v) - 6*p(v). Determine h, given that b(h) = 0.
-4, 0, 1
Suppose -2*o = o. Let j be (-3456)/252 + (-28)/(-2). Let 2/7*s**3 + j*s + 4/7*s**2 + o = 0. Calculate s.
-1, 0
Let r = -6613 + 33067/5. Factor -r*u**2 + 0 + 4/5*u.
-2*u*(u - 2)/5
Let g be (-8)/(-8) + 2 + 15/(-10)*1. Find s, given that g*s**3 - 3/2 + 3/2*s**2 - 3/2*s = 0.
-1, 1
Suppose 5*w + 2*p = 5, -9*w + 2*p = -6*w - 19. Let q = -1 - -3. Find b such that 32*b - 5 - w - 3*b**2 - 20*b - b**q = 0.
1, 2
Let d = -2157 - -2159. Let v(a) be the first derivative of 2/3*a**d + 11 - 2/9*a**3 + 0*a. Factor v(y).
-2*y*(y - 2)/3
Suppose -5*f - 212 = m - 224, -4*f = 3*m - 14. Factor 192/7 + 3/7*s**m + 48/7*s.
3*(s + 8)**2/7
Let m(d) be the second derivative of 0 + 1/7*d**2 + 4/105*d**6 + 13/70*d**5 + 5/14*d**4 + d + 1/3*d**3. Let m(x) = 0. What is x?
-1, -1/4
Let z be 17/3 + (-4)/(-96)*8. Let y(f) be the second derivative of -5/24*f**4 - 1/8*f**5 - 5/24*f**3 + 0 - 1/24*f**z - 1/168*f**7 - 1/8*f**2 + 5*f. Factor y(v).
-(v + 1)**5/4
Let m(y) = 28*y**3 + 12*y**2 - 2*y - 4. Let s(d) = d**3 + d**2 + d + 1. Let k(x) = m(x) + 4*s(x). Factor k(f).
2*f*(4*f + 1)**2
Let x be (-30)/45 + (1 - 1184/(-30)). Let t = x - 37. Suppose 0 - 24/5*w**2 - 8/5*w + t*w**3 = 0. Calculate w.
-2/7, 0, 2
Let g(d) = -17*d - 2. Let l be g(0). Let s(v) = -v**2 + v. Let t(x) be the third derivative of -x**5/60 - x**2. Let p(r) = l*s(r) + 3*t(r). Factor p(i).
-i*(i + 2)
Let d = -15128 + 30259/2. Solve 6*u**3 + d*u**4 + 0 + 9/2*u**2 + 0*u = 0.
-3, -1, 0
Let o(j) be the first derivative of j**4/32 + j**3/6 + 5*j**2/16 + j/4 - 191. Factor o(c).
(c + 1)**2*(c + 2)/8
Let v(o) be the second derivative of 0 - 36*o + 12*o**2 + o**3 - 1/4*o**4. Factor v(t).
-3*(t - 4)*(t + 2)
Suppose 0 = -2*q - 3*s - 6, 4*q - 2*s + 3*s = 8. Let f be (0 + 0)*q/6. Factor f + 6*p**4 + 3/2*p**3 + 0*p**2 + 0*p.
3*p**3*(4*p + 1)/2
Let x(a) be the second derivative of 7*a + 0 - 1/3*a**3 - 1/15*a**5 - 1/360*a**6 + 0*a**2 - 2/3*a**4. Let b(f) be the second derivative of x(f). Factor b(y).
-(y + 4)**2
Let c = 2/303 + 289/2121. Let g(q) be the second derivative of 0 + 4/7*q**3 + 8/7*q**2 + 2*q + c*q**4 + 1/70*q**5. Suppose g(i) = 0. What is i?
-2
Let u be (-5)/(-20) - (-4)/(32/30). Let c(w) = 3*w**2 + w + 2. Let r(f) = -9*f**2 - 4 + f - 1 - 4*f. Let i(o) = u*r(o) + 11*c(o). Factor i(a).
-(a + 1)*(3*a - 2)
Let a(c) = 7*c**2 + 3*c - 5. Let j(m) be the second derivative of m**4/12 - m**3/6 - m**2/2 + 21*m. Let g(t) = -a(t) + 5*j(t). Factor g(b).
-2*b*(b + 4)
Let x(j) be the second derivative of j**4/24 - j**3/12 - j**2/2 - 44*j. What is d in x(d) = 0?
-1, 2
Let k be (-2)/(((-4)/10)/(-1)). Let i be ((-4)/(-10))/((-6)/k). Suppose 1/3*o**3 + 0*o + i*o**2 - 1/3*o**4 - 1/3*o**5 + 0 = 0. What is o?
-1, 0, 1
Let r(s) = -83*s + 84*s + 5 + 0 + 2. Let d be r(-5). Suppose 1/5*c**d + 0 + 2/5*c - 1/5*c**3 = 0. What is c?
-1, 0, 2
Let x(g) be the third derivative of -16*g**7/1365 + 178*g**6/195 - 353*g**5/390 + 11*g**4/39 + g**2 - 5*g. Determine p so that x(p) = 0.
0, 1/4, 44
Find z, given that -8/9*z**2 + 2/9*z**3 - 2/9*z + 8/9 = 0.
-1, 1, 4
Suppose 332 = 4*r - 8*v + 5*v, 5*r - 404 = v. Factor -5 - 36*c**2 + 73*c**2 - 108*c**3 + 227*c**2 - r*c - 27.
-4*(c - 2)*(3*c - 2)*(9*c + 2)
Let d(f) be the first derivative of -f**4/14 - 4*f**3/7 - 5*f**2/7 + 51. Let d(t) = 0. What is t?
-5, -1, 0
Suppose 2*c + 4 = 3*c, -c = -5*x - 44. Let p be (-14)/x*(-12)/(-84). Solve 1/2*m - 1/4*m**2 - p = 0.
1
Let c(j) be the third derivative of -j**8/8960 - j**7/560 - j**6/192 - 5*j**4/8 + 11*j**2. Let w(h) be the second derivative of c(h). Factor w(m).
-3*m*(m + 1)*(m + 5)/4
Let f(y) be the second derivative of -y**4/48 + 67*y**3/6 - 4489*y**2/2 + 183*y. What is x in f(x) = 0?
134
Let y(j) be the first derivative of 0*j**5 + 0*j + 7 - 2/3*j**3 + 5/2*j**2 + 1/60*j**6 - 1/4*j**4. Let n(l) be the second derivative of y(l). Factor n(d).
2*(d - 2)*(d + 1)**2
Let z be (-338)/10 + (-7 - -9). Let s = z + 32. Let 0 - s*x**4 - 1/5*x**3 + 0*x + 0*x**2 = 0. What is x?
-1, 0
Let r = -123 + 121. Let v be (r/8)/(-15*(-4)/(-32)). Find q such that 2/15 - 2/15*q**2 - 2/15*q**3 + v*q = 0.
-1, 1
Let y(r) be the first derivative of 0*r**2 + 0*r - 1/4*r**4 + 1 + 0*r**3 + 1/5*r**5. What is t in y(t) = 0?
0, 1
Suppose -2 = q - 2*k + 4, -10 = -q - 2*k. Factor -1 + 4*n - 11*n**2 - 5 + 13*n**q.
2*(n - 1)*(n + 3)
Let k be (-27)/2*(0 + 476/(-3)). Factor -5*j**3 - 298*j + 355 + 63 + 120*j**2 + k - 662*j.
-5*(j - 8)**3
Let u(d) = -5*d**3 + 45*d**2 - 64*d - 118. Let n(y) = -60*y**3 + 540*y**2 - 765*y - 14