pose 22/7*m + 2/7*m**2 + 48/7 = 0. What is m?
-8, -3
Suppose 110/3*o**2 + 0 - 13*o**3 + 32/3*o + 7/3*o**5 - 110/3*o**4 = 0. What is o?
-1, -2/7, 0, 1, 16
Determine d, given that 6/5*d**3 + 0 - 2/5*d**5 + 0*d**2 + 0*d + 4/5*d**4 = 0.
-1, 0, 3
Let l(o) = o**4 - 13*o**3 + 12*o**2. Let j(k) = -k**3 + 7*k**2 + k - 2. Let d be j(7). Let g(s) = 6*s**3 - 6*s**2. Let a(y) = d*g(y) + 3*l(y). Factor a(n).
3*n**2*(n - 2)*(n - 1)
Suppose -3*r + 4 = 2*s, 4*r + 5*s - 6 = -3. Let k(t) = -1. Let o(l) = -2*l**3 + 12*l**2 - 18*l - 18. Let w(m) = r*o(m) - 36*k(m). Factor w(n).
-4*n*(n - 3)**2
Let t(s) be the third derivative of -s**5/20 - s**4/2 + 21*s**3/2 + 20*s**2. Factor t(z).
-3*(z - 3)*(z + 7)
Let h = 27629 - 138832/5. Let k = -137 - h. Factor -6/5*l**4 - 6/5*l**3 + 0 - 2/5*l**2 - k*l**5 + 0*l.
-2*l**2*(l + 1)**3/5
Let y(b) be the third derivative of b**6/80 + 7*b**5/40 + 3*b**4/8 + 103*b**2. Factor y(r).
3*r*(r + 1)*(r + 6)/2
Suppose 3*m + 5*x + 20 = 0, 3*m + 15*x = 20*x + 20. Let a = -53 + 53. Find v, given that 1/5*v**3 + m - 1/5*v**2 + a*v = 0.
0, 1
Let w(k) be the third derivative of k**6/600 - k**5/15 - 7*k**4/40 + 397*k**2. Let w(x) = 0. Calculate x.
-1, 0, 21
Let r(h) be the second derivative of h**7/112 + 3*h**6/40 + 39*h**5/160 + 3*h**4/8 + h**3/4 - 8*h + 15. Factor r(d).
3*d*(d + 1)**2*(d + 2)**2/8
Let q(v) be the third derivative of v**8/1176 + 17*v**7/735 + 19*v**6/70 + 9*v**5/5 + 207*v**4/28 + 135*v**3/7 + 145*v**2. What is t in q(t) = 0?
-5, -3
Let g(b) = b**3 + b**2 + 4. Let h be g(0). Let 23*q**4 + 13*q**3 - 5*q**3 - 36*q**5 + 5*q**h = 0. What is q?
-2/9, 0, 1
Suppose 7*b**2 + 11*b + 5*b - 12*b = 0. Calculate b.
-4/7, 0
Let g(s) be the first derivative of -s**6/18 - 2*s**5/5 - 11*s**4/12 - 2*s**3/3 + 849. Suppose g(r) = 0. Calculate r.
-3, -2, -1, 0
Let g(v) be the third derivative of 6*v**2 + 0 - 1/12*v**5 + 25/12*v**4 + 0*v - 125/6*v**3. Determine w, given that g(w) = 0.
5
Let d(x) = 8*x**2 - 15*x + 18. Let q(z) = 3*z**2 - 5*z + 6. Let k(j) = 2*d(j) - 7*q(j). Let g(s) = -4*s**2 + 6*s - 6. Let m(i) = -3*g(i) + 2*k(i). Factor m(l).
2*(l - 3)*(l - 1)
Let k = -509 - -801. Let v = k + -289. Let -1/3*r**v - 4/3*r + 5/3*r**5 - 4/3 - 13/3*r**4 + 17/3*r**2 = 0. Calculate r.
-1, -2/5, 1, 2
Let s = -93014/3 + 31005. What is p in 0 + 0*p - s*p**3 + 1/3*p**5 - 1/3*p**4 + 1/3*p**2 = 0?
-1, 0, 1
Let l(b) = -40*b + 1363. Let m be l(34). Find s such that -22/7*s**2 - 20/7*s - 6/7 - 8/7*s**m = 0.
-1, -3/4
Suppose -6 = s - 8. Suppose 0 = 5*l + 2*q - 4, -s*l + 2*q + 8 = -l. Find w such that 0 - 2/5*w + 2/5*w**3 + 0*w**l = 0.
-1, 0, 1
Let y = -2261847/80 - -28275. Let v = y + 27/16. Let 3/5*m**4 - 12/5*m**3 + 3/5 - 12/5*m + v*m**2 = 0. Calculate m.
1
Suppose 69*j = 1991 - 1715. Factor -6/5 - 8/5*i + 8/15*i**3 - 2/15*i**j + 4/15*i**2.
-2*(i - 3)**2*(i + 1)**2/15
Let u = 651 + -6497/10. Factor -2/5 - u*g - 11/10*g**2 - 1/5*g**3.
-(g + 1)*(g + 4)*(2*g + 1)/10
Let n(y) be the third derivative of 0 + 0*y - 1/40*y**4 - 1/10*y**3 + 1/50*y**5 - 10*y**2. Factor n(p).
3*(p - 1)*(2*p + 1)/5
Suppose -52/3*t - 1/3*t**2 - 17 = 0. What is t?
-51, -1
Let l(n) = 4*n**3 - 4*n**2 + 6*n - 6. Let x(o) = -5*o**3 + 5*o**2 - 7*o + 7. Let i(g) = 6*l(g) + 5*x(g). Factor i(m).
-(m - 1)**2*(m + 1)
Let f(s) = -4*s**3 - 27*s**2 - 32*s - 271. Let l be f(-7). Factor 5/3*d**l + 130/3*d + 845/3.
5*(d + 13)**2/3
Let r(o) be the second derivative of o**6/75 - o**5/50 - o**4/3 - 8*o**3/15 - o - 52. Suppose r(i) = 0. What is i?
-2, -1, 0, 4
Let j(i) = -6*i**4 - 21*i**3 - 10*i**2 - 5*i - 5. Let h(t) = -t**4 - 2*t**3 - t - 1. Let x(m) = -5*h(m) + j(m). Factor x(z).
-z**2*(z + 1)*(z + 10)
Let y(j) be the third derivative of j**7/840 - 7*j**6/40 + 11*j**5/16 - 41*j**4/48 + 445*j**2. Factor y(c).
c*(c - 82)*(c - 1)**2/4
Find m such that 15*m**2 + 0 - 16*m - 22 - 2 - 17*m**2 = 0.
-6, -2
Let -9*c**2 + 20 - 25*c - 14*c**2 + 28*c**2 = 0. What is c?
1, 4
Let x(s) = 2*s**4 + 97*s**3 - 862*s**2 + 5*s - 5. Let l(w) = w**4 + 98*w**3 - 863*w**2 + 4*w - 4. Let c(v) = -5*l(v) + 4*x(v). Determine a, given that c(a) = 0.
0, 17
Let r(f) be the third derivative of 1/60*f**6 - 3*f**2 + 0*f**3 + 1/10*f**5 - 1/35*f**7 + 0*f - 1/6*f**4 + 0 + 1/168*f**8. Factor r(x).
2*x*(x - 2)*(x - 1)**2*(x + 1)
Let b be -4 - -1 - (-305)/61. Let d(z) be the first derivative of 4 + 4/9*z + 2/27*z**3 + 1/3*z**b. Find i, given that d(i) = 0.
-2, -1
Let n(y) be the third derivative of y**7/5880 - 3*y**6/560 + y**5/35 + 7*y**4/12 + 25*y**2. Let g(p) be the second derivative of n(p). Factor g(q).
3*(q - 8)*(q - 1)/7
Let f = -3/1411 - -1426/7055. Solve 1/5*q**5 + 0*q + 3/5*q**4 + 0 + f*q**2 + 3/5*q**3 = 0 for q.
-1, 0
Suppose 2*h - 118 = -k - 116, 2*k + 8 = 2*h. What is r in 3/8*r**h - 9/2*r + 27/2 = 0?
6
Let o be 57/(-190) - -2*1/4. Let c(k) be the first derivative of -9/10*k**2 - 2 - 12/25*k**5 + 1/6*k**6 + 2/3*k**3 + o*k**4 + 2/5*k. Solve c(i) = 0 for i.
-1, 2/5, 1
Let f(c) be the second derivative of c**4/114 + 22*c**3/57 + 21*c**2/19 - 108*c. Factor f(b).
2*(b + 1)*(b + 21)/19
Let h be (5*8/10)/(-6)*20/(-8). Factor 16/3*y**3 - h*y**4 + 0*y - 25/3*y**5 + 0 - 4/3*y**2.
-y**2*(y + 1)*(5*y - 2)**2/3
Let c(f) be the second derivative of f - 4/3*f**3 + 1/6*f**4 + 36 + 1/10*f**5 - 4*f**2. Factor c(q).
2*(q - 2)*(q + 1)*(q + 2)
Let f(t) be the first derivative of 0*t**3 + 0*t**2 - 1/60*t**5 + 6 + 1/36*t**4 - 5*t. Let r(p) be the first derivative of f(p). Factor r(m).
-m**2*(m - 1)/3
Let z(i) = i**2 + i - 2. Let a be z(1). Let l(n) be the third derivative of -3*n**3 - 3*n**2 - 1/30*n**5 + 1/2*n**4 + a + 0*n. Find r, given that l(r) = 0.
3
Factor -3 - 41/3*h**2 + 1/6*h**5 + 8*h**3 + 21/2*h - 2*h**4.
(h - 6)*(h - 3)*(h - 1)**3/6
Suppose 4*f + 9 = 3*u, 4*u + 14 = -f + 26. Let a(c) be the first derivative of -7 + 2/9*c**u + 0*c + c**2. Factor a(y).
2*y*(y + 3)/3
Let l(y) be the second derivative of -1/60*y**5 + 0*y**3 + 0 + 0*y**2 - 24*y + 0*y**4 + 0*y**6 + 1/126*y**7. Factor l(w).
w**3*(w - 1)*(w + 1)/3
Suppose -226 = -5*v - 4*x, 6*v - v - 2*x - 232 = 0. Solve 198*o**3 - 10*o - 194*o**3 - 24*o**2 + v*o = 0.
0, 3
Let f(a) = -a**3 - 21*a**2 - 41*a - 55. Let j be f(-19). Let g = 84 - 586/7. Solve 4/7*v + g + 2/7*v**j = 0.
-1
Let w(d) = d**2 + 20*d - 42. Let o be w(2). Let p(k) be the first derivative of -349/4*k**3 - 255/8*k**4 + 5 - 153/2*k**o - 15/4*k**5 - 27*k. Factor p(t).
-3*(t + 3)**2*(5*t + 2)**2/4
Determine l so that 3/5*l**4 - 16/5 + 26/5*l**3 + 24/5*l + 63/5*l**2 = 0.
-4, -1, 1/3
Let s = 287 + -3726/13. Let w = 33/52 - s. Let 1/2*m - 1/4*m**2 - w = 0. Calculate m.
1
Let i(f) be the second derivative of -5/24*f**3 - 1/24*f**6 + 0 + 1/16*f**5 + f + 5/48*f**4 + 0*f**2. Factor i(d).
-5*d*(d - 1)**2*(d + 1)/4
Factor 3*f - 259*f**5 - 27*f**4 - 6*f**3 + 238*f**5 - 3*f.
-3*f**3*(f + 1)*(7*f + 2)
Let z(p) = -2*p**2 + 9*p - 5. Let y(v) = -v**2 + 5*v - 3. Let t(a) = -10*y(a) + 6*z(a). Let h(k) = -10*k**2 + 20*k. Let n(s) = 4*h(s) - 22*t(s). Factor n(c).
4*c*(c - 2)
Let b(f) = -3*f**2 - 9*f. Let d(x) be the second derivative of -x**4/2 - 3*x**3 + 16*x. Let k(g) = 7*b(g) - 3*d(g). Determine l so that k(l) = 0.
-3, 0
Let c(b) be the third derivative of -b**5/60 + 5*b**4/6 - 48*b**2 - 2. Factor c(y).
-y*(y - 20)
Factor 8*z - z - 2*z**2 - 8*z + 9*z.
-2*z*(z - 4)
What is d in -7*d**3 + 993*d + d**4 + 900 + 31*d**3 + 10*d**3 + 27*d + 349*d**2 = 0?
-15, -2
What is l in -1/11 - 17/11*l**2 + 18/11*l = 0?
1/17, 1
Let g be ((4 - 1) + (-68)/24)/(11/88). Let -2*u**3 - 8/3*u**2 + 0 + 8/3*u + 2/3*u**5 + g*u**4 = 0. Calculate u.
-2, 0, 1
Let j(s) be the second derivative of -s**8/9240 - s**7/1155 + s**6/660 + 3*s**5/110 - 3*s**3/2 + 8*s. Let l(q) be the second derivative of j(q). Factor l(p).
-2*p*(p - 2)*(p + 3)**2/11
Let 576/7*p - 324/7 + 1112/7*p**2 + 32*p**3 + 12/7*p**4 = 0. Calculate p.
-9, -1, 1/3
Let t(h) = 6*h**4 - 82*h**3 + 1198*h**2 - 7998*h + 19998. Let j(f) = 8*f**4 - 83*f**3 + 1197*f**2 - 7997*f + 19997. Let w(q) = 2*j(q) - 3*t(q). Factor w(a).
-2*(a - 10)**4
Let i(u) be the second derivative of u**9/1260 + u**8/672 - u**7/630 - u**6/360 + u**4/2 + 7*u. Let f(d) be the third derivative of i(d). Solve f(x) = 0.
-1, -1/3, 0, 1/2
Factor -72/13 + 136/13*o + 10/13*o**3 + 106/13*o**2.
2*(o + 2)*(o + 9)*(5*o - 2)/13
Factor 5 - 272*f**2 + 8 - 1 - 13*f + 273*f**