 - 4)/13
Let a(k) be the first derivative of -5/2*k**4 + 14/5*k**5 + 0*k - 4*k**2 - 32/3*k**3 + 64. Factor a(h).
2*h*(h - 2)*(h + 1)*(7*h + 2)
Let c(t) be the third derivative of -t**6/360 + 1591*t**5/180 - 265*t**4/12 + 9521*t**2. Factor c(x).
-x*(x - 1590)*(x - 1)/3
Let g be 2/(-10)*2 - 289/(-85). Suppose g*s + 2*w = 8, 0*s - w = 3*s - 10. Suppose 0 + 6/5*u - 4*u**2 - 12/5*u**s + 24/5*u**3 + 2/5*u**5 = 0. What is u?
0, 1, 3
Suppose -i + w = -5, 3 = -3*w - 0. Find t, given that -20*t**i - 20*t**4 - 70*t**2 + 35*t**4 - 35*t**3 - 40*t = 0.
-4, -2, -1, 0
Let s = 2 - -2. Suppose -s*t + 17 = 1. Let 2*v**t - 32*v + 67 + 8*v**3 + 2*v**4 + 17 - 36 - 28*v**2 = 0. Calculate v.
-3, -2, 1, 2
Let p be -3 - -1 - 2/(-6)*15. Let v(q) be the first derivative of -16/7*q + 16/7*q**2 - 3/7*q**4 - 4/21*q**p + 9. Factor v(c).
-4*(c - 1)*(c + 2)*(3*c - 2)/7
Let c(j) = -85*j**3 + 56*j**2 - 21*j + 13. Let w be 256/42 - (-6)/(-63). Let t(n) = -43*n**3 + 28*n**2 - 10*n + 6. Let o(y) = w*c(y) - 13*t(y). Factor o(r).
r*(7*r - 2)**2
Let k(c) be the second derivative of -c**7/5460 + 7*c**6/2340 - c**5/130 - c**3/3 + 7*c**2 - 123*c. Let g(t) be the second derivative of k(t). Factor g(m).
-2*m*(m - 6)*(m - 1)/13
Factor 178802*i**2 + 7992538801/3 + 1/3*i**4 + 1196/3*i**3 + 106923596/3*i.
(i + 299)**4/3
Let j(u) be the third derivative of u**7/70 - u**6/2 - 11*u**5/10 + 5*u**4/2 + 21*u**3/2 - 1169*u**2 + 2*u. Factor j(z).
3*(z - 21)*(z - 1)*(z + 1)**2
Let a(v) = 3*v - 16. Let x(q) = -3*q + 15. Let w(c) = -2*a(c) - 3*x(c). Let l be w(11). Find g such that -16*g - 14*g - l*g**2 - 2*g**3 - 10 - 6 - 4*g = 0.
-8, -1
Let d(a) be the second derivative of -45/2*a**2 + 5*a + 10/3*a**4 - 3/2*a**5 + 5*a**3 + 6 + 1/6*a**6. Solve d(w) = 0 for w.
-1, 1, 3
Let k = 4123 - 4117. Let l(g) be the second derivative of -g**4 + 17*g + k*g**2 - 2/3*g**3 + 0 + 1/5*g**5. Factor l(r).
4*(r - 3)*(r - 1)*(r + 1)
Let h(k) be the first derivative of -7*k**4/2 - 4*k**3/3 - k**2 + 4*k - 202. Let v(s) = -5*s**3 - s + 2. Let j(x) = -h(x) + 2*v(x). Let j(l) = 0. What is l?
-1, 0
Let y(c) be the third derivative of c**6/30 + 44*c**5/15 + 469*c**4/6 + 980*c**3 - 2265*c**2. Suppose y(u) = 0. What is u?
-30, -7
Suppose -50*n + 33*n = -68. Factor -11*k**n - 5*k**4 - 20*k + 2*k**4 + 15*k**3 + 3*k**2 + 11*k**4 + 5*k.
-3*k*(k - 5)*(k - 1)*(k + 1)
Let y = -404 + 407. Determine v so that -80*v - y*v**3 + 24 - 18*v**3 + 49*v**2 + 3*v**3 + 29*v**2 = 0.
2/3, 3
Suppose -3449*a + 3429*a = -60. Factor -c**2 - 4/3 - 4*c + 5/3*c**a.
(c - 2)*(c + 1)*(5*c + 2)/3
Let k(u) = -u**3 + 10*u**2 + 3*u - 6. Let a be k(10). Let c be (-2)/(-7) - a/(-14). Factor -16*t**2 + 28*t**c - 15*t**2.
-3*t**2
Let i(k) be the first derivative of -28/9*k**3 - 8/15*k**5 + 1/18*k**6 + 17/6*k**2 + 212 - 4/3*k + 11/6*k**4. Solve i(p) = 0 for p.
1, 4
Let d(q) = -q**2 + 3*q + 70. Let c be d(0). Let z be 12/(-2)*((-775)/c - -11). Solve z*x**4 + 39/7*x**2 + 12/7 + 36/7*x + 18/7*x**3 = 0 for x.
-2, -1
Let m(j) be the second derivative of j**5/40 - 87*j**4/4 + 5720*j**3 - 33800*j**2 - 384*j - 8. Factor m(p).
(p - 260)**2*(p - 2)/2
Suppose -9 = -2*v - w, -4*w - 16 + 4 = 0. Solve -164*x - 55*x**2 + v*x**3 + 104*x - x**3 = 0.
-1, 0, 12
Let u(m) be the second derivative of -40*m - 4/3*m**3 - 3*m**4 - 4/5*m**5 + 0*m**2 + 0. Factor u(s).
-4*s*(s + 2)*(4*s + 1)
Suppose 11*z + 2*z = 5*z. Let m(y) be the second derivative of -1/10*y**2 - 15*y + 1/50*y**5 + z - 1/30*y**4 + 1/210*y**7 - 1/10*y**3 + 1/50*y**6. Factor m(w).
(w - 1)*(w + 1)**4/5
Let -192/7*g + 117/7 + 40/7*g**3 + 1/7*g**4 + 34/7*g**2 = 0. Calculate g.
-39, -3, 1
Let v = -52 + 56. Suppose 6 = h + 2, -3*o - v*h = -16. Let -40*n**4 + 8*n + 5*n**5 + o*n**2 + 33*n**4 - 13*n**3 + 7*n**2 - 4 + 4*n**2 = 0. What is n?
-1, 2/5, 1, 2
Let r(q) be the first derivative of q**4/4 - 44*q**3 + 2178*q**2 - 307. Determine i, given that r(i) = 0.
0, 66
Let x(v) be the second derivative of 0 + 9/2*v**4 + 1/14*v**7 - 9/10*v**6 + 1/2*v**3 - 3/10*v**5 + 40*v - 27/2*v**2. Let x(a) = 0. Calculate a.
-1, 1, 9
Find x, given that -126 - 176*x - 396/7*x**2 - 48/7*x**3 - 2/7*x**4 = 0.
-9, -7, -1
Suppose 810 = -140*g + 146*g. Suppose -26*h**2 - 5*h**4 + 95*h**3 - g*h**3 - 9*h**2 = 0. Calculate h.
-7, -1, 0
Factor 3/5*j**3 - 3/5*j - 771/5 + 771/5*j**2.
3*(j - 1)*(j + 1)*(j + 257)/5
Let v be (54/(-495))/((0 - 1)/(-10)*(-420)/70). Solve 0 + 2/11*m**2 - 4/11*m + 4/11*m**3 - v*m**4 = 0.
-1, 0, 1, 2
Let w = 82129 - 82129. Factor -54/11*z + w + 2/11*z**2.
2*z*(z - 27)/11
Factor 63/2*t**3 + 174*t - 138*t**2 - 48.
3*(t - 2)**2*(21*t - 8)/2
Let -18000*p - 35*p**4 + 4200*p**2 - 5/4*p**5 + 0 + 55*p**3 = 0. What is p?
-20, 0, 6
Let j(x) = 3*x**3 - 140*x**2 + 799*x + 42. Let r be j(40). Factor 0*z - 2/5*z**5 + 3/5*z**4 + 0 - 1/5*z**r + 0*z**3.
-z**2*(z - 1)**2*(2*z + 1)/5
Let f(o) = -495*o - 2473. Let r be f(-5). Let m(n) = -n**3 + 3*n**2 - 1. Let i be m(2). What is g in -1/6*g**i + 0*g - 2/3 + 1/2*g**r = 0?
-1, 2
Let b(n) be the first derivative of 625*n**6/33 - 33020*n**5/11 + 3636601*n**4/22 - 9732824*n**3/3 + 387728*n**2 - 15488*n + 910. Factor b(a).
2*(a - 44)**3*(25*a - 1)**2/11
Let q be 584/120 - ((-96)/45 + 2). Factor -4*f**4 - 6*f**4 + 4*f + 12*f**4 - q*f**2 - f**2.
2*f*(f - 1)**2*(f + 2)
Let q be (7 - (-45)/(-6))/(1/2). Let z be q*126/33 + 4. Let z + 0*y - 2/11*y**2 = 0. Calculate y.
-1, 1
Find w such that -119/2*w - 723/4 + 1/4*w**2 = 0.
-3, 241
Let z(o) be the first derivative of -46 + 3/4*o - 1/6*o**3 - 1/16*o**2 - 1/32*o**4. Factor z(s).
-(s - 1)*(s + 2)*(s + 3)/8
Let x = -79 + -31. Let w = x + 175. Factor 96*c - 10 + 20*c**2 + 2 - 4 - w*c**2.
-3*(c - 2)*(15*c - 2)
Let s be 32916/(-3798) + (-96)/(-9). Factor -8/3*a**s - 6 - 1/3*a**3 - 7*a.
-(a + 2)*(a + 3)**2/3
Let h(a) = -11*a**3 - 27*a**2 - 4*a + 6. Let z(x) = 2*x - 3*x - 4*x**3 + 2*x**2 + 4*x**3 - 3*x**2 - 2*x**3. Let d(q) = -4*h(q) + 36*z(q). Solve d(s) = 0.
-3/7, 1, 2
Let w be (72/(-136))/(1659/(-2686)). Solve -76/7 + 116/7*s**2 - 34/7*s - w*s**3 = 0.
-2/3, 1, 19
Suppose 25*r + 15 = 20*r, -3*p + 5*r = -21. Let c(o) be the first derivative of 9 - 845/3*o**3 - 130*o**p - 20*o. Let c(s) = 0. What is s?
-2/13
Let -30*q**2 - 3/4*q**5 + 135/2 + 21/2*q**4 - 63/2*q**3 + 321/4*q = 0. Calculate q.
-1, 2, 5, 9
Factor -3*f**2 - 70521*f + f**2 + 70557*f + 0*f**2.
-2*f*(f - 18)
Let j(y) be the first derivative of 6*y**2 - 10/3*y**3 + 141 + 0*y + 1/2*y**4. Let j(t) = 0. What is t?
0, 2, 3
Let j = -1457477/9 - -161943. Solve -16/9*m**2 + 8/3*m**4 + 4/9 - 2/3*m + 8/9*m**5 + j*m**3 = 0.
-2, -1, 1/2
Let q(p) be the third derivative of -p**7/504 + 7*p**6/144 - 5*p**5/12 + 47*p**4/6 + 4*p**2 - 5*p. Let v(g) be the second derivative of q(g). Factor v(k).
-5*(k - 5)*(k - 2)
Suppose 76*h - 8/5 + 1444/5*h**2 - 816/5*h**3 = 0. Calculate h.
-1/4, 1/51, 2
Find f such that -f**5 - 27*f**3 + 147*f**3 - 101903*f**4 + 60 + 101845*f**4 - 119*f - 2*f**2 = 0.
-60, -1, 1
Let s(n) = n**3 + 18*n**2 + 36*n - 1. Let u be s(-2). Let g be (-56)/147*(-2)/((-8)/u). Find h, given that 2/7*h**4 - 4/7 + 10/7*h - g*h**2 - 2/7*h**3 = 0.
-2, 1
Suppose 0 = -3*q + 3*z + 18, 3*z = 13 - 25. Let i(n) be the first derivative of -14 - 27/16*n**q - 3/4*n + 45/32*n**4 - 1/2*n**3. What is y in i(y) = 0?
-2/5, -1/3, 1
Let u(l) = l + 21. Let r be (3 - (-424)/(-52)) + (-2)/(-13). Let f be u(r). Factor 9*i**3 - 5*i**3 - f*i**2 - 7*i + 23*i.
4*i*(i - 2)**2
Suppose -63*s + 20 = -59*s. Suppose 4*o = -0*g - 4*g + 248, 0 = -o - s*g + 70. Factor 4*h - o*h**2 + 45*h**3 + 3*h + 13*h.
5*h*(3*h - 2)**2
Let o = 18321/40282 - 1/3662. Let c(v) be the first derivative of 6/11*v**2 - 2/11*v - 6/55*v**5 - 18 - 8/11*v**3 + o*v**4. Determine h, given that c(h) = 0.
1/3, 1
Let f be 15/(-27)*(1008/(-1960))/((-3)/(-56)). What is a in -f + 62/3*a**3 + 38/9*a**2 - 14/9*a**5 + 10/9*a**4 - 172/9*a = 0?
-3, -1, -2/7, 1, 4
Suppose 2*i + 102 - 70 = 0. Let b be ((-450)/(-180))/((-30)/i). Factor 4/3 + b*h**2 - 8/3*h.
4*(h - 1)**2/3
Factor 34*v + 46*v**2 + 12*v**2 - 132 + 42*v**3 - 46*v**3 - 16*v**2.
-2*(v - 11)*(v + 2)*(2*v - 3)
Let n = -2387 - -2390. Let w(r) be the first derivative of 0*r**2 + 0*r - 1/15*r**5 - 20 + 4/9*r**n + 0*r**4. Factor w(i).
-i**2*(i - 2)*(i + 2)/3
Let v(z) be the first derivative of -3*z**4/4 - 104*z**3 + 975*z**2/2 + 1284*z + 14175. Suppose v(f) =