6/5*u**4 = 0.
-31/3, -1, 0, 2
Let c(q) = 51*q**2 - 277*q - 528. Let u(j) = -11*j**2 + j. Let a(y) = c(y) + 5*u(y). Factor a(o).
-4*(o + 2)*(o + 66)
Let h = 291/904 - -6/113. Let a = -676/3 + 2713/12. Determine k, given that -3/4*k**3 + 0*k**2 + a*k - 3/8*k**4 + h = 0.
-1, 1
Let p(m) be the second derivative of 2*m**6/105 - 14*m**5/5 + 53*m**4/3 + 940*m**3/21 - 82*m - 20. Factor p(k).
4*k*(k - 94)*(k - 5)*(k + 1)/7
Let o be ((-480)/(-8))/4 + (3/(-1) - -2). Let l(q) be the first derivative of 3/7*q**2 + 0*q**4 - o + 0*q + 3/35*q**5 - 3/7*q**3. Factor l(s).
3*s*(s - 1)**2*(s + 2)/7
Let f be (3 + -7 - -2) + 5. Suppose -w - 5 = 0, -2*k = w - f*w - 20. Find j, given that 5 - 3*j**4 + 65*j**k - 68*j**5 - 5 = 0.
-1, 0
Let a(f) be the second derivative of -f**4/24 + 33*f**3 - 395*f**2/4 + 1029*f. Factor a(n).
-(n - 395)*(n - 1)/2
Let r(n) be the second derivative of -n**6/10 - 27*n**5/4 + n**4/4 + 45*n**3/2 + 2707*n. Let r(g) = 0. Calculate g.
-45, -1, 0, 1
Let j(c) be the third derivative of -1/2*c**4 + 0 + 0*c**7 + 230*c**2 + 1/84*c**8 + 0*c - 8/15*c**5 + 0*c**3 - 1/5*c**6. Factor j(h).
4*h*(h - 3)*(h + 1)**3
Let y(m) be the third derivative of -m**8/784 - m**7/70 + m**6/140 + 23*m**5/70 - 65*m**4/56 + 25*m**3/14 - m**2 + 1100. What is t in y(t) = 0?
-5, 1
Let f(j) be the first derivative of j**6/39 - 108*j**5/65 - 114*j**4/13 - 464*j**3/39 - 4898. Factor f(l).
2*l**2*(l - 58)*(l + 2)**2/13
Let r(n) be the first derivative of 2*n**3/27 + 7*n**2/9 + 347. Find w such that r(w) = 0.
-7, 0
Let g(v) be the second derivative of v**7/2520 + v**6/108 - 13*v**5/90 + 7*v**4/9 - v**3/3 - 3*v - 3. Let y(p) be the second derivative of g(p). Factor y(a).
(a - 2)**2*(a + 14)/3
Let n(w) = 7*w**3 - 34*w**2 - 219*w - 354. Let a(q) = 9*q**3 - 34*q**2 - 214*q - 355. Let m(z) = -4*a(z) + 5*n(z). Solve m(g) = 0 for g.
-25, -7, -2
Let a(s) be the third derivative of 15/8*s**4 + 0 + 8*s - 3/10*s**5 - 1/40*s**6 + 3*s**2 - 4*s**3. What is g in a(g) = 0?
-8, 1
Suppose 13*x = 7 + 58. Let q be (((-10)/2)/x)/((-6)/4). Factor q*u**2 + 2/3*u + 0.
2*u*(u + 1)/3
Let t(q) be the first derivative of 7/50*q**5 - 31 - 3/10*q**4 - 4/5*q**3 + 38*q + 4/5*q**2. Let l(k) be the first derivative of t(k). Factor l(y).
2*(y - 2)*(y + 1)*(7*y - 2)/5
Find t such that -450*t**2 - 125/4*t**3 - 540 - 945*t = 0.
-12, -6/5
Let t be -9 - (-629)/(-51)*12/(-16). Solve t*b**3 + 1/4*b**2 - 1/4*b - 1/4 = 0.
-1, 1
Find z, given that 1/8*z**2 + 485/8 + 51/4*z = 0.
-97, -5
Suppose 2*h + 7 = t, -2*t + 19*h = 22*h. Factor -19*x**t + 7*x**3 + 13*x**3 + 15*x**2 - 18 + 21*x - 10 - 9*x.
(x - 1)*(x + 2)*(x + 14)
Let i(u) be the first derivative of -100*u - 65/3*u**3 - 5/4*u**4 - 80*u**2 - 35. Factor i(m).
-5*(m + 1)*(m + 2)*(m + 10)
Suppose 16/11*j**3 - 72/11*j + 14/11*j**2 - 72/11 + 2/11*j**4 = 0. What is j?
-6, -3, -1, 2
Let z(u) be the third derivative of -u**9/75600 + u**8/1800 + u**7/420 - u**5/3 - 2*u**2 - 2. Let l(h) be the third derivative of z(h). Factor l(p).
-4*p*(p - 15)*(p + 1)/5
Let i(f) be the second derivative of f**6/10 + 33*f**5/14 - 39*f**4/28 - 55*f**3/7 + 48*f**2/7 + 32*f + 1. Suppose i(a) = 0. Calculate a.
-16, -1, 2/7, 1
Let x(y) be the second derivative of 5*y**4/36 - 205*y**3/18 + 350*y**2 - y - 1943. Find u, given that x(u) = 0.
20, 21
Let y(g) be the third derivative of -g**7/504 + g**6/48 - g**5/12 + 17*g**4/12 - 78*g**2. Let f(v) be the second derivative of y(v). What is i in f(i) = 0?
1, 2
Let i(c) = -5*c**2 - 70*c + 1030. Let m be 28/18*99/22. Let s(x) = -6*x**2 - 71*x + 1031. Let k(a) = m*i(a) - 6*s(a). Let k(p) = 0. What is p?
32
Let u(c) = 16*c**3 - 2912*c**2 + 403275*c - 400456. Let k(o) = 3*o**3 - 581*o**2 + 80655*o - 80091. Let s(m) = -33*k(m) + 6*u(m). Let s(i) = 0. Calculate i.
1, 283
Let m be (-60)/26800*3027/(-9). Let g = m - 1/335. Factor g*t + 0 - 1/4*t**2.
-t*(t - 3)/4
Let a(i) be the second derivative of 1 - 14*i + 51/4*i**5 - 7/6*i**6 - 25*i**2 - 455/12*i**4 + 95/2*i**3. Determine g, given that a(g) = 0.
2/7, 1, 5
Factor -2*x**2 + 36 + 3*x - 1/4*x**3.
-(x - 4)*(x + 6)**2/4
Let q(a) be the first derivative of 2*a**5/5 - 3*a**4 + 26*a**3/3 - 12*a**2 + 8*a + 2249. Suppose q(s) = 0. What is s?
1, 2
Let y(a) be the third derivative of 29*a**6/80 - 22*a**5/15 + 91*a**4/48 - a**3/6 - 6002*a**2. Factor y(m).
(m - 1)**2*(87*m - 2)/2
Let d(r) be the third derivative of -r**7/70 + 133*r**6/40 - 393*r**5/20 + 391*r**4/8 - 65*r**3 + 3*r**2 - 2*r + 1839. What is f in d(f) = 0?
1, 130
Factor 2874*a - 81*a**2 - 66*a**2 + 215*a**2 - 65*a**2.
3*a*(a + 958)
Let p(i) be the third derivative of i**5/60 + 8*i**4/3 - 136*i**3/3 - 4608*i**2. Solve p(k) = 0.
-68, 4
Let g(k) = 9*k**3 - 345*k**2 - 47*k + 2935. Let o(c) = -c**3 + 43*c**2 + 5*c - 367. Let b(v) = -6*g(v) - 51*o(v). Factor b(s).
-3*(s - 3)*(s + 3)*(s + 41)
Let c(g) = g**2 + g - 11. Let j(q) = -q**2 - 1708*q - 3376. Let o(m) = -4*c(m) - j(m). Determine f, given that o(f) = 0.
-2, 570
Let o(g) be the first derivative of g**5/45 + 7*g**4/18 - 16*g**3/9 + 15*g**2 + g - 3. Let k(p) be the second derivative of o(p). Factor k(u).
4*(u - 1)*(u + 8)/3
Suppose -3*o + 3*p + 0*p = 6, -o = -2*p + 6. Factor -1/8*i**4 + 0*i + 0 + 0*i**o - 3/8*i**3.
-i**3*(i + 3)/8
Suppose -2*x - 2*h = -0*x - 10, -21 = -3*x - 5*h. Factor 40*i**4 + 30*i**3 + 22*i**x - 37*i**4 + 24*i + 28*i**2 + i**2.
3*i*(i + 1)**2*(i + 8)
Let t = 619469/2787624 - -1/929208. Determine f so that t*f**2 + 0*f - 2 = 0.
-3, 3
Suppose 5*p - d = 8, -4*p - 2*d + 9 + 3 = 0. Factor -50*t**p + 18737*t**3 + 85*t - 44 - 18732*t**3 + 4.
5*(t - 8)*(t - 1)**2
Let l be 0 + 14796 - (3 - (12 + -4)). Factor -7 - 5*j**4 + l*j**3 - 30*j**2 - 14781*j**3 - 10*j + 30*j + 2.
-5*(j - 1)**4
Let r(w) be the first derivative of -4096*w - 100*w**3 + 960*w**2 - 204 + 125/32*w**4. Determine d so that r(d) = 0.
32/5
Let b(k) be the second derivative of -k**4/4 + 44*k**3 - 261*k**2/2 + 871*k. Find x such that b(x) = 0.
1, 87
Let l(q) = q**3 - 22*q**2 + 8*q + 276. Let j be l(21). Find d such that -2*d**j + 2/3*d + 0 - 7/9*d**2 - 5/9*d**4 = 0.
-3, -1, 0, 2/5
Let b(j) be the second derivative of j**5/100 + 3*j**4/10 + 4886*j. Find u such that b(u) = 0.
-18, 0
Let l be (13 - 2130/150) + (0 + -8)*(-14)/70. Let 16/5 + 14/5*i**2 - l*i**3 - 28/5*i = 0. What is i?
1, 2, 4
Suppose -147*q + 2 = -146*q. Let r(o) be the second derivative of 1/3*o**4 + 10*o**q + 0 - 23*o - 4*o**3. Factor r(d).
4*(d - 5)*(d - 1)
Let w = 5837731/2594540 + -4/648635. Factor 27/8*u**2 + w + 87/8*u.
3*(u + 3)*(9*u + 2)/8
Let h = 9196 - 9158. Let v(j) be the second derivative of 32/15*j**3 - 2*j**2 + 0 - 1/5*j**4 + h*j. Let v(g) = 0. What is g?
1/3, 5
Let b = 122644 + -858506/7. Suppose 1/7*u**2 - b - 1/7*u = 0. What is u?
-1, 2
Let u = 10815/8 + -10803/8. Let w(f) be the first derivative of 3/8*f**4 + 34 + 0*f + 3/2*f**3 + u*f**2. Determine j so that w(j) = 0.
-2, -1, 0
Let f(l) be the third derivative of l**6/90 + l**5/10 + 53*l**3/6 - 34*l**2. Let a(j) be the first derivative of f(j). Find c such that a(c) = 0.
-3, 0
Let b(y) = -8*y**3 + 462*y**2 - 1410*y + 936. Let w(h) = 9*h**3 - 459*h**2 + 1410*h - 936. Let t(m) = 6*b(m) + 5*w(m). Determine f, given that t(f) = 0.
1, 2, 156
Let a(o) = -o**2 + 27*o + 3. Let p be a(27). Let r(n) be the first derivative of -3*n**4 - 27 + 4*n**p + 0*n + 3/5*n**5 + 0*n**2. Factor r(b).
3*b**2*(b - 2)**2
Suppose -81/7*y**2 + 3/7*y**4 - 54/7*y**3 + 60*y + 684/7 = 0. Calculate y.
-2, 3, 19
Let u be (-3)/(-42) - (-750)/84. Factor 2*l - u + l - 11*l**2 + 23*l**2.
3*(l + 1)*(4*l - 3)
Let k(w) = -w**3 + 56*w**2 + 105*w + 172. Let j be k(58). Let c = 468 + j. Let -1/2*z**2 - c + 5/2*z = 0. Calculate z.
1, 4
Determine h, given that 778/5*h - 2/5*h**5 - 252/5 + 312/5*h**3 - 164*h**2 - 16/5*h**4 = 0.
-18, 1, 7
Let s(g) be the first derivative of 0*g + 0*g**2 + 7/20*g**5 - 1/4*g**3 - 1/4*g**4 + 121. Find r, given that s(r) = 0.
-3/7, 0, 1
Let l = 620 + -617. Suppose -4*d + 4 = -j, 27*d - l*j = 25*d - 8. Solve 12/7 + 10/7*r - 2/7*r**d = 0.
-1, 6
Let s(c) = 26*c + 1486. Let n be s(-57). Let h(l) be the second derivative of -4/15*l**6 + 2/3*l**n - 10*l - 1/10*l**5 + 1/3*l**3 + 0*l**2 + 0. Factor h(m).
-2*m*(m - 1)*(m + 1)*(4*m + 1)
Factor 144/13*l**2 - 2/13*l**3 - 1120/13 - 264/13*l.
-2*(l - 70)*(l - 4)*(l + 2)/13
Let n = 4940 - 49