 r be (-348)/q + 3 + (-159)/51. Factor 2/3*i**r + 36*i**2 + 22/3*i**4 - 18*i - 54 + 28*i**3.
2*(i - 1)*(i + 3)**4/3
Let t = 108 + -111. Let d be 11/(308/(-48)) - (t + 1). Let -2/7*p**3 + 2/7*p + 2/7*p**2 - d*p**4 + 0 = 0. Calculate p.
-1, 0, 1
Let j(i) = i**2. Let l be j(0). Let x(r) be the first derivative of r**4 + l*r**4 + 6 - 2*r**2 + 0*r**4 + 0*r**2. Factor x(t).
4*t*(t - 1)*(t + 1)
Let o be 3 - (0 - (-2 - -2)). Suppose -4*m + 2*m = -5*g - 19, -g = o. Determine i, given that 2/5*i**3 - 1/5*i**5 + 1/5*i**4 + 0 + 0*i**m + 0*i = 0.
-1, 0, 2
Suppose -14 + 80 = 2*f. Factor -19 + 10*h**2 - 19 + f + 5*h.
5*(h + 1)*(2*h - 1)
Let t be 1 - (-56)/3 - (-1)/3. Suppose -35*l**3 + 59*l - 5*l + 25*l**2 + t + 26*l = 0. What is l?
-1, -2/7, 2
Determine n, given that 176/5 + 686/5*n**4 - 8134/5*n**3 - 1864/5*n + 6636/5*n**2 = 0.
2/7, 11
Let o(r) be the third derivative of -r**8/2520 + 17*r**6/900 + 2*r**5/25 + r**4/9 - 7*r**2 + 1. Suppose o(t) = 0. What is t?
-2, -1, 0, 5
Let j be 18/(-8)*(8 - 234/27). Let d(a) be the first derivative of -5/4*a**2 + 1/8*a**4 - j*a - 1/6*a**3 - 6. Factor d(y).
(y - 3)*(y + 1)**2/2
Let g(r) be the first derivative of -1/4*r**2 - 1/12*r**3 - 32 - 1/4*r. Suppose g(v) = 0. Calculate v.
-1
Let q be (-6)/(-9)*126/12. Suppose q = 2*t - 5. Factor 3*o**3 + 10*o + 3*o**5 - 10*o + t*o**4.
3*o**3*(o + 1)**2
Let i(l) be the first derivative of l**4 + 80*l**3/3 + 200*l**2 - 922. Find t such that i(t) = 0.
-10, 0
Let o(j) = j. Suppose -3*c + 13 - 49 = 0. Let m(i) = 2*i**2 - 16*i + 2. Let b(g) = c*o(g) - m(g). Factor b(y).
-2*(y - 1)**2
Let y(i) be the third derivative of i**5/160 - 3*i**4/32 + 5*i**3/16 + 244*i**2. Factor y(g).
3*(g - 5)*(g - 1)/8
Let m(q) be the first derivative of q**6/60 - q**5/5 + 3*q**4/4 - 7*q**2/2 - 7. Let x(i) be the second derivative of m(i). Factor x(v).
2*v*(v - 3)**2
Solve 972*h**4 - 736*h**2 + 243*h**3 - 977*h**4 - 2894*h**2 + 17*h**3 + 6500*h - 3125 = 0 for h.
1, 25
Let k(t) be the second derivative of t**5/60 + 7*t**4/18 + 49*t**3/18 + 31*t - 1. Suppose k(j) = 0. What is j?
-7, 0
Determine k, given that -9*k + 54 + 3/8*k**2 = 0.
12
Find y such that 33/4*y - 1/4*y**2 - 8 = 0.
1, 32
Let i(d) be the third derivative of 3/140*d**7 + 0 + 0*d - 1/10*d**6 + 31*d**2 - 1/4*d**3 + 3/20*d**5 + 0*d**4. Find o such that i(o) = 0.
-1/3, 1
Let o(h) be the first derivative of -h**5/4 - h**4 + 2*h**3 - 2*h**2 - 7. Let r(p) be the second derivative of o(p). Factor r(c).
-3*(c + 2)*(5*c - 2)
Let y be ((-4)/(-10))/((-42)/(-315)). Find d, given that -1/5 - 4/5*d**4 - 3/5*d**y + d**2 + 3/5*d = 0.
-1, 1/4, 1
Let d = 14 + -7. Factor 21*l**4 + 53*l**2 + 28*l**3 - 3*l**3 + d*l**2 + 29*l**3 + 3*l**5 + 24*l.
3*l*(l + 1)*(l + 2)**3
Let v(l) = l**3 - 19*l**2 + 27*l - 160. Let f be v(18). Factor -3/2*x**f + 0 - 3*x.
-3*x*(x + 2)/2
Factor 0 - 72/5*q - 4/5*q**4 + 16/5*q**3 + 12/5*q**2.
-4*q*(q - 3)**2*(q + 2)/5
Let o(u) be the second derivative of -u**7/189 + 2*u**6/135 + u**5/45 - 2*u**4/27 - u**3/27 + 2*u**2/9 - 40*u. Suppose o(k) = 0. What is k?
-1, 1, 2
Let r(p) be the first derivative of -2*p**5/5 + p**4/2 + 2*p**3/3 - p**2 + 50. Factor r(a).
-2*a*(a - 1)**2*(a + 1)
Solve -36*r**4 + 88*r**4 - 36*r + 39*r**3 + 3*r**2 - 55*r**4 - 6*r**5 + 3*r**5 = 0.
-4, -1, 0, 1, 3
Factor -27 - 3/2*v**3 + 6*v**2 + 9/2*v.
-3*(v - 3)**2*(v + 2)/2
Let o = 2748 + -2743. Let h(p) be the third derivative of 1/180*p**o - 12*p**2 + 1/18*p**3 + 0*p + 0 + 1/36*p**4. Find t, given that h(t) = 0.
-1
Let y be (-14)/5*(-30)/12. Find z such that 5 + 2 - y + 4*z**4 = 0.
0
Solve -2*n + 0 - 3*n**3 + 1/2*n**4 + 9/2*n**2 = 0.
0, 1, 4
Suppose 16*x = -110 + 142. Factor 10/19*a**4 - 2/19*a**5 - 16/19*a**3 + 0*a + 0 + 8/19*a**x.
-2*a**2*(a - 2)**2*(a - 1)/19
Let o(t) be the third derivative of 0 + 1/30*t**3 + 1/300*t**5 - 16*t**2 - 1/60*t**4 + 0*t. Suppose o(b) = 0. What is b?
1
Suppose 1515*z = 1509*z. Find b, given that -4/5*b**2 + 2/5*b**3 - 2/5*b**5 + 0 + 4/5*b**4 + z*b = 0.
-1, 0, 1, 2
Let f(v) be the third derivative of -v**8/10080 - v**7/840 - v**6/180 - 11*v**5/60 - 8*v**2. Let u(q) be the third derivative of f(q). Factor u(a).
-2*(a + 1)*(a + 2)
Let r be 51/(-6) + 5/10. Let k(o) = -2*o**2 - 17*o - 4. Let d be k(r). Factor 8/3*b**d + 0*b**2 + 0*b + 0 + 5/3*b**5 - 4/3*b**3.
b**3*(b + 2)*(5*b - 2)/3
Let b(v) = 6*v**4 + 2*v**3 - 14*v**2 - 2*v + 8. Let h(n) = -n**4 + n**2 + 4*n**3 - 5*n + 4*n - 3*n**3. Let k(a) = -b(a) - 2*h(a). Find c, given that k(c) = 0.
-2, -1, 1
Factor 169*f**2 + 0 - 171*f**2 + 4 - 2*f.
-2*(f - 1)*(f + 2)
Let v(h) = 2*h**4 - 12*h**3 + 17*h. Let m(n) = 5*n**4 - 25*n**3 + 35*n. Let p(b) = 3*m(b) - 5*v(b). Solve p(x) = 0 for x.
-1, 0, 2
Let o(m) be the first derivative of 2/65*m**5 + 3/26*m**4 - 1/39*m**6 + 0*m - 11 - 10/39*m**3 + 2/13*m**2. Let o(c) = 0. Calculate c.
-2, 0, 1
Find u, given that 237*u**3 + 202*u**4 + 22*u**2 - 72*u**3 + 27*u - 127*u**4 + 95*u**2 = 0.
-1, -3/5, 0
Suppose 4*n - t = 57, 125*n = 122*n - 2*t + 51. Let 23*g**2 - 1/2*g**5 - 33/2*g - n*g**3 + 9/2 + 9/2*g**4 = 0. What is g?
1, 3
Let p(h) be the first derivative of 5*h + 16 + 5*h**2 + 5/3*h**3. Factor p(w).
5*(w + 1)**2
Suppose 0 = -3*a + 16*a - 13. Let q(g) = 7*g - 3. Let k be q(a). Determine b so that -9/5*b**5 - 102/5*b**3 - 51/5*b**k + 0 - 84/5*b**2 - 24/5*b = 0.
-2, -1, -2/3, 0
Solve 66*p**3 - 19*p**4 + 5*p**5 - 180*p - 45*p**4 + 131*p**3 + 65*p**2 - p**4 - 22*p**3 = 0 for p.
-1, 0, 1, 4, 9
Let p be ((0 - -4) + 12)*(-2)/(-4). Factor p*h**2 + 75 + 30*h + 10*h**2 - 15*h**2.
3*(h + 5)**2
Let t(a) be the third derivative of -1/30*a**6 + 0*a**3 + 0 + 30*a**2 + 0*a - 1/6*a**4 - 2/15*a**5. Let t(i) = 0. Calculate i.
-1, 0
Let c(j) = 9*j**3 + 6*j**2 - 9*j - 6. Let g(m) = -m**3 - m**2 + m + 1. Suppose 93 = 3*p + 21. Let h(n) = p*g(n) + 3*c(n). Factor h(k).
3*(k - 2)*(k - 1)*(k + 1)
Find l such that 37*l**2 - 37*l**2 + 0*l**4 + 3*l**5 + 3*l**4 - 6*l**3 = 0.
-2, 0, 1
Let w be (-437)/(-3795)*11 + (-6)/10. Let -8/3*r + w*r**2 + 8/3 = 0. Calculate r.
2
Let j(k) = -k**3 + 5*k**2 + 5*k + 1. Let l be j(6). Let d = 8 + l. Factor o**3 + 2*o**d - 4*o**3.
-o**3
Let u(c) be the second derivative of -1/6*c**4 + c**2 + 1/10*c**5 - 1/3*c**3 - 4*c + 0. Let u(l) = 0. Calculate l.
-1, 1
Let g(y) = 22*y**2 + 75*y + 29. Let j be g(-3). Determine c, given that 1/3*c**j - 5/3*c + 2 = 0.
2, 3
Let m = -3 - -4. Suppose m = -r + 3. Factor -3 - 13*d - 21*d**r - 3 - 14*d.
-3*(d + 1)*(7*d + 2)
Suppose 0 = 5*d - 17 - 3. Factor 2*g**2 + 3*g + 6*g**2 - 13*g**4 + 5*g**4 + g - d*g**5.
-4*g*(g - 1)*(g + 1)**3
Let b(q) be the third derivative of -q**5/120 - 5*q**4/2 - 300*q**3 - 151*q**2. Factor b(k).
-(k + 60)**2/2
Let u be -1 + 0 - 2905/(-2915). Let c = u - -2338/1749. Determine z so that -2/9*z**2 - 2 - c*z = 0.
-3
Let h(u) = -u**2 - 6*u + 3. Let g be h(-4). Let r = g + -9. Factor -3*a - 5*a + 0*a + 4*a**3 + 0*a + 4*a**r.
4*a*(a - 1)*(a + 2)
Let k be 3/(-33) - 578/(-187). Let m(o) be the first derivative of -36*o - 4/3*o**k + 5 + 12*o**2. Solve m(n) = 0.
3
Let x(y) = 5*y + 33. Let o(m) = -m. Let v(h) = 6*o(h) - x(h). Let z be v(-3). Solve 0*k + 4/9*k**3 + z + 2/3*k**4 - 10/9*k**5 + 0*k**2 = 0 for k.
-2/5, 0, 1
Let y(s) = -4*s - 14. Let r be y(-4). Find c such that 3*c**r + 16*c - 16*c - 3 = 0.
-1, 1
Factor 64 + 21 - 6*t**5 - 750*t**3 + 9*t**5 + 95 - 8*t**5 - 725*t + 200*t**4 + 1100*t**2.
-5*(t - 36)*(t - 1)**4
Let d(o) be the second derivative of o**4/6 - 13*o**3/3 + 12*o**2 - 99*o. Factor d(h).
2*(h - 12)*(h - 1)
Let t(a) be the third derivative of -a**8/11760 - a**7/735 - a**6/252 - 17*a**4/24 - 23*a**2. Let j(l) be the second derivative of t(l). What is b in j(b) = 0?
-5, -1, 0
Let t be 6/(-21)*(18 + -25). Let c(o) be the third derivative of 0 + 0*o + 1/30*o**5 + 1/210*o**7 - 1/30*o**6 - 1/2*o**3 + 2*o**t + 1/6*o**4. Solve c(b) = 0.
-1, 1, 3
Suppose -4*u + 4 - 18 = -c, -4*c + 3*u + 17 = 0. Factor 4 - 4*h**3 - 17*h + 129*h**c - 117*h**2 + 5*h.
-4*(h - 1)**3
Let v be (-21)/(-12) - (-2)/8. Let s(c) be the first derivative of -1/2*c**6 - c**3 + 0*c - 4 + 0*c**v - 9/4*c**4 - 9/5*c**5. Factor s(b).
-3*b**2*(b + 1)**3
Suppose -6*i + 2*i = 0. Suppose 4*z - 3*a = i, -2*z + 3*z - 4*a = -13. Factor -7 + y**z + 7 + 4*y - 8*y**2 + 3*y**3.
4*y*(y - 1)**2
Suppose 0 = -9*x + 14*x - 15. Find n such that 2*n**x + 5*n**2 + 20*n*