r t.
-1, 0, 1/4, 1
Factor -7*c**3 + 10*c**3 + 16*c**2 + 5 + 3 - 5*c**3 + 4 - 26*c.
-2*(c - 6)*(c - 1)**2
Solve 60/7*b**2 + 224 - 78*b - 2/7*b**3 = 0.
7, 16
Let c(x) be the first derivative of -40*x + 45/4*x**4 + 29 + 115/3*x**3 + 15*x**2. What is a in c(a) = 0?
-2, -1, 4/9
Let v(z) = -2*z**3 - 2*z**2 - z + 1. Let d(u) = -14*u**3 - 58*u**2 + 58*u + 4614. Let i(k) = -d(k) + 6*v(k). Suppose i(h) = 0. Calculate h.
-16, 9
Let c be ((-10)/(-4))/((-65)/(-52)). Factor -55*y - 116 + 72 - 2*y + 62 - 12*y**3 - 57*y**c.
-3*(y + 2)*(y + 3)*(4*y - 1)
Let u(f) be the third derivative of 1/10*f**6 - 6*f + 1/504*f**8 + 0 + 2/9*f**4 + 1/45*f**7 - 3*f**2 + 0*f**3 + 2/9*f**5. Solve u(i) = 0.
-2, -1, 0
Let m(x) be the second derivative of x**6/2160 - x**4/144 - 17*x**3 + 5*x + 1. Let c(l) be the second derivative of m(l). Factor c(r).
(r - 1)*(r + 1)/6
Let w(p) = p**2 + 7*p - 16. Let m be w(-9). What is y in -15547 + 8*y - 4*y**m + 15547 = 0?
0, 2
Let f(w) = -w**4 + 2*w**2 - 1. Let z(m) = 18*m**3 - 457*m + 9 - 29 + 30*m**2 + 439*m - 10. Let h(g) = 3*f(g) - z(g). Factor h(s).
-3*(s - 1)*(s + 1)*(s + 3)**2
Let g = -246 - -235. Let d be g/66*12/(-8). Suppose -1/2*v**2 - 1/4*v**5 + 1/4*v**4 + 1/2*v**3 - d*v + 1/4 = 0. Calculate v.
-1, 1
Find o such that -5*o**3 + 2*o**3 + 115*o + 13*o + 19*o**2 + 77 + 4*o**3 - 33*o = 0.
-11, -7, -1
Suppose y + 11 = 20, -p + y - 6 = 1. Factor -11/6*n + 2 - 1/6*n**p.
-(n - 1)*(n + 12)/6
Suppose -3*m + 21 = -6*m. Let r be (-16)/m + (1 - (-9)/(-7)). Suppose 7*u**2 - 4*u - 4*u**r - u**2 + 4*u**3 - 2 = 0. What is u?
-1, -1/2, 1
Suppose 0 = -64*x - 4*x. Let c(h) be the second derivative of 1/5*h**5 + 1/2*h**4 + 3*h + 3/8*h**3 + x + 0*h**2. Factor c(m).
m*(4*m + 3)**2/4
Let z(b) be the first derivative of 2*b**5/25 + 13*b**4/5 + 26*b**3 + 378*b**2/5 - 2993. Let z(q) = 0. What is q?
-14, -9, -3, 0
Let i(o) be the first derivative of 20*o**2 + 10*o - 3*o**5 + 145/8*o**4 - 215/6*o**3 - 37. Let i(x) = 0. What is x?
-1/6, 1, 2
Let j(f) be the second derivative of -5/12*f**3 - 3/2*f**2 + 356*f + 0 + 1/24*f**4. Factor j(l).
(l - 6)*(l + 1)/2
Let k(y) be the second derivative of 1/15*y**6 + 2/3*y**3 + 2/5*y**5 + 0 - 28*y + 0*y**2 + 5/6*y**4. Solve k(d) = 0.
-2, -1, 0
Let u = 2350 + -2348. Let r = 4/33 + 6/11. Factor 0*i + 2/3 - r*i**u.
-2*(i - 1)*(i + 1)/3
Let p(h) = 7664*h - 30652. Let s be p(4). Suppose 0*q + 0*q**2 - 1/4*q**s + 0 - 1/8*q**3 - 1/8*q**5 = 0. What is q?
-1, 0
Suppose -5*k = 15 + 5. Let l be (k - (0 + -1))*-1. Suppose -148*o + 242*o + 625 + 281*o + 3*o**3 + 2*o**l + 75*o**2 = 0. What is o?
-5
Let x = 4 - -20. Let y be (-3)/(-5)*((-416)/x)/(-13). Find g, given that -4*g**2 - 12/5 - 28/5*g - y*g**3 = 0.
-3, -1
Let -1/2*h**4 - 2109/2*h**2 - 351 + 2107/2*h + 705/2*h**3 = 0. What is h?
1, 702
Let f = -222/823 - -1711/3292. Find g such that f*g**2 + 225 + 15*g = 0.
-30
Factor -57255/4*b**2 - 3025/4*b**3 + 1044*b - 19.
-(b + 19)*(55*b - 2)**2/4
Let k(i) be the third derivative of -i**5/240 - 23*i**4/48 + 70*i**3/3 + i**2 + 395. Determine a so that k(a) = 0.
-56, 10
Let f(c) = 3*c**2 + 6. Let z(t) = -124*t**2 + 2376*t - 2630. Let n(a) = -84*f(a) - 2*z(a). Suppose n(u) = 0. Calculate u.
-1189, 1
Let a be (1/((-8)/(-6)))/((-2700)/480)*-5. Let -64/3 + a*x**5 - 28/3*x**3 + 16/3*x - 2/3*x**4 + 56/3*x**2 = 0. Calculate x.
-4, -1, 2
Factor -8394 + 5*n**2 + 125*n + 650*n + 9164.
5*(n + 1)*(n + 154)
Let c(f) be the third derivative of f**5/80 + 157*f**4/32 + 1993*f**2 + f. Suppose c(k) = 0. What is k?
-157, 0
Let g(q) be the first derivative of -3*q**4/20 - 7*q**3/5 - 3*q**2 - 59. Factor g(m).
-3*m*(m + 2)*(m + 5)/5
Let k be ((-20)/(-4) + -3)*2. Let -11*i**3 - 11*i**4 + 8*i**4 + 9*i - 4*i**3 + i**4 - 4*i**k + 12*i**2 = 0. Calculate i.
-3, -1/2, 0, 1
Factor 1/4*t**2 - 1731/2*t + 2996361/4.
(t - 1731)**2/4
Determine o, given that -67/6*o**3 - 1/6*o**5 - 5/2*o**4 - 56/3*o - 6 - 43/2*o**2 = 0.
-9, -2, -1
Let i(n) be the second derivative of n**5/90 + 23*n**4/54 - 8*n**3/9 + 1745*n. Factor i(q).
2*q*(q - 1)*(q + 24)/9
Let c(g) be the third derivative of -g**4/6 - 48*g**2. Let v(w) = -7*w**2 - 2*w + 1. Let h(s) = -4*c(s) - 4*v(s). Factor h(n).
4*(n + 1)*(7*n - 1)
Let v(h) = 4*h**2 + 14*h + 47. Let p be v(-8). Suppose -54*c**2 - 200*c**3 + 2*c**5 + 12*c**4 + c**5 + p*c**3 = 0. What is c?
-3, 0, 2
Let k(r) = r - 1. Suppose 39*d = 24 + 15. Let a(y) = 4*y**3 - 7*y**2 + 7*y - 4. Let u(t) = d*a(t) - 5*k(t). Suppose u(z) = 0. Calculate z.
-1/4, 1
Let p = 2468/3 + -12328/15. Factor -p*s**3 + 3 + 28/5*s + 2*s**2 - 1/5*s**4.
-(s - 3)*(s + 1)**2*(s + 5)/5
Let m(k) = -k**3 + 7632*k**2 - 1950741*k + 165813750. Let o(n) = n**3 - 3817*n**2 + 975371*n - 82906875. Let x(q) = -4*m(q) - 9*o(q). Factor x(c).
-5*(c - 255)**3
Let j(z) = -13*z**2 + 8*z + 7. Let b be j(4). Let d = 431 + b. Find l such that -3*l**2 - 259*l**3 - 6*l + 6*l**2 + d*l**3 = 0.
-2, 0, 1
Let s(p) = 9*p + 405. Let r be s(-35). Let k be ((-195)/r)/(2/4) + 7. Factor -2/3*z**3 - 6*z - 4*z**2 - k.
-2*(z + 1)**2*(z + 4)/3
Let v be ((-24)/(-36) - 38468/(-114)) + (-6)/57. Determine o, given that -53/2*o**2 - v + 1/2*o**3 + 364*o = 0.
1, 26
Let j(m) be the first derivative of -1/18*m**5 - 1/135*m**6 - 4/27*m**3 - 8*m + 0*m**2 - 4/27*m**4 + 29. Let k(i) be the first derivative of j(i). Factor k(x).
-2*x*(x + 1)*(x + 2)**2/9
Let h be ((-32)/(-8) + 9)/((-56)/38) + 9. Let y(k) be the second derivative of 3/14*k**2 + 0 + 9/140*k**5 - h*k**4 - 9*k + 1/14*k**3. Factor y(z).
3*(z - 1)**2*(3*z + 1)/7
Suppose 5*y + c - 20 = 0, 4*y = 2*y + 2*c + 20. Suppose -j**5 - 12*j**5 - 65*j**4 - 20*j**3 - 12*j**5 + 15*j**2 + y*j**2 = 0. What is j?
-2, -1, 0, 2/5
Let v be ((-30)/(-18))/(28/84). Let g(r) be the second derivative of 0*r**3 + 0*r**2 + 1/33*r**4 + 14*r + 0 - 1/110*r**v - 1/55*r**6. Let g(a) = 0. Calculate a.
-1, 0, 2/3
Let a(y) = -y**3 - y**2 - 2*y - 2. Let r be a(-2). Let j(s) = -22*s + 90. Let x be j(4). Solve -w + 15*w**2 - r*w**x + 0*w - 10*w**2 = 0 for w.
-1, 0
Let c(l) = -44818*l - 358538. Let d be c(-8). Let -1/2*f**2 + 1/2*f + d = 0. Calculate f.
-3, 4
Suppose x - 5 = 0, -w + 3*x - 11 - 2 = 0. Let j = 2760 + -2755. Determine b so that 16*b**5 - 2*b**4 - 3*b**w - 17*b**j - b**3 + 3*b**2 = 0.
-1, 0
Let m = 1/77586 + 112654865/543102. Factor 66/7*u**2 + 10648/7 - m*u - 1/7*u**3.
-(u - 22)**3/7
Factor -4*g**3 - 110*g - 73*g**2 - 86 - 3 + 13*g**2 - 178*g - 359.
-4*(g + 4)**2*(g + 7)
Let z(y) be the first derivative of y**4/2 + 152*y**3 + 17328*y**2 + 877952*y + 1512. Suppose z(w) = 0. Calculate w.
-76
Let r(u) be the first derivative of -23 + 3/4*u**4 + 75*u + 45/2*u**2 - 9*u**3. Let r(n) = 0. Calculate n.
-1, 5
Let i be 12/(-330)*-5 - (-205)/2442. Let t = 5/74 + i. Factor -2/3 - t*g**2 - g.
-(g + 1)*(g + 2)/3
Let i = 39 + -38. Let a be (-22 - -18) + i + 7. Factor a*g**2 + 8*g + 2*g**4 + 8*g**3 + 11*g**2 - 3*g**2 + 2 + 0*g**2.
2*(g + 1)**4
Let a be (2/(-4))/((-1)/22). Suppose -a + 31 = 4*r. Factor 4*m**4 + 1 + 7 + 4*m - m**3 - 10*m**2 + 4*m**r + 0*m**4 - 5*m**5.
-(m - 2)**3*(m + 1)**2
Let r(l) be the second derivative of -l**5/5 - 53*l**4/3 + 112*l**3/3 + 216*l**2 - 5947*l. Factor r(d).
-4*(d - 2)*(d + 1)*(d + 54)
Factor 46980/7*d - 3/7*d**4 - 8046/7*d**2 + 69*d**3 - 92664/7.
-3*(d - 143)*(d - 6)**3/7
Let l(u) be the first derivative of 5*u**4 - 127*u**3/3 + 68*u**2 + 76*u + 2063. Find k, given that l(k) = 0.
-2/5, 2, 19/4
Let w(j) be the third derivative of -j**5/270 + 29*j**4/36 + 178*j**3/27 + j**2 - 1367. What is n in w(n) = 0?
-2, 89
Let n(g) = -28*g**2 - 40*g + 22. Suppose -i = -129 - 482. Let x(w) = -618 + 11*w**2 + i + 13*w - 2*w**2. Let m(p) = 3*n(p) + 10*x(p). Let m(t) = 0. Calculate t.
-2, 1/3
Let 4*u**4 - 39*u**2 + 48 - 4*u - 13*u**2 - 349806*u**3 + 349790*u**3 + 10*u + 10*u = 0. What is u?
-2, -1, 1, 6
Let b be -1 - (-3 - 1) - ((-4)/(-3) + -3). Let l(c) be the first derivative of -16*c**2 + b*c**3 + 11 + 8*c. Factor l(g).
2*(g - 2)*(7*g - 2)
Let k be 2911/(-4) - (74 - 69). Let a = k - -733. Determine u, given that 1/4*u**2 + 0*u - a = 0.
-1, 1
Suppose -y + 5 = 0, -13 = 4*b + 51*y - 56*y. Determine n, given that -1/5*n**2 + 0 - 1/5*n**4 + 0*n - 2/5*n**b = 0.
-1, 0
Factor -2598/5*s**2 - 2249868/5*s - 1/5*s**3 - 649461896/5.
-(s + 866)**3/5
Suppose 0 = 154483*s - 154528*s. Determine d so that 2/3*d + s*d**2