t is o?
0, 1/3, 1
Let z(h) be the first derivative of -h**5/20 + h**4/3 - 5*h**3/6 + h**2 + 42*h - 40. Let t(k) be the first derivative of z(k). Factor t(w).
-(w - 2)*(w - 1)**2
Suppose 0 = 39*d - 51*d. Let h(j) be the third derivative of -4*j**2 + 0 - 1/10*j**5 + 0*j + d*j**3 + 3/40*j**6 + 0*j**4. Factor h(s).
3*s**2*(3*s - 2)
Let x(c) be the second derivative of c**4/6 - 7*c**3/6 + 3*c. Let m(g) = 9*g - 7*g**2 + 2*g + 4*g**2. Let q(h) = -5*m(h) - 8*x(h). Factor q(u).
-u*(u - 1)
Solve -13*h**3 + 81*h**2 + 62*h + 144*h**2 - 316*h**2 + 10*h**3 = 0.
-31, 0, 2/3
Let z be 20/(-40)*(2 - -12) - -10. Factor -16/3*x + 1/3*x**4 + 0 + 8*x**2 - 3*x**z.
x*(x - 4)**2*(x - 1)/3
Suppose -3*f - 19 = 4*q + 2, -2*f - 6 = 0. Let r = 3 + q. Find s, given that 2 + r*s**2 + s**2 + 8*s + 7*s**2 - 2*s**2 = 0.
-1, -1/3
Suppose 7*w + z - 8 = 4*w, 2*w = -5*z + 1. Let t(m) be the second derivative of 1/7*m**w - 2*m + 1/42*m**4 + 0 + 2/7*m**2. Factor t(f).
2*(f + 1)*(f + 2)/7
Suppose 4/7*m**4 - 8/21 + 6/7*m - 16/21*m**3 - 2/21*m**5 - 4/21*m**2 = 0. Calculate m.
-1, 1, 4
Let k be 2/432*186/620. Let p(t) be the third derivative of -1/180*t**5 + 1/18*t**3 + 0*t + 1/144*t**4 - 7*t**2 + 0 - k*t**6. Factor p(o).
-(o - 1)*(o + 1)*(o + 2)/6
Let j be ((-1)/(-4))/(-4 + 81/20). Let z(k) be the third derivative of 0 - 1/12*k**4 - 1/60*k**j + 1/2*k**3 - 4*k**2 + 0*k. Solve z(o) = 0 for o.
-3, 1
Factor -3/5 - 3/5*f**2 + 6/5*f.
-3*(f - 1)**2/5
Let p(v) = 11*v + 6. Let y be p(-1). Let a be ((-16)/(-6) - 1) + y/(-15). Factor 0*c**3 + 0*c + 2/7 + 2/7*c**4 - 4/7*c**a.
2*(c - 1)**2*(c + 1)**2/7
Let q be 7 - (1 + 10/(-4))/(252/(-840)). Determine o, given that 18/13 + 98/13*o**q - 84/13*o = 0.
3/7
Factor 10 - 1/4*z**2 - 3/2*z.
-(z - 4)*(z + 10)/4
Let i(w) be the second derivative of -24*w + 3*w**2 + 3/2*w**3 + 1/4*w**4 + 0. Factor i(h).
3*(h + 1)*(h + 2)
Let a be (-12 - 0) + 1164/90. Determine k, given that 22/15*k - 32/15*k**2 - 4/15 + a*k**3 = 0.
2/7, 1
Suppose 120*v - 5*z - 20 = 116*v, -8 = 5*v + 2*z. Factor v - 1/2*s - s**2.
-s*(2*s + 1)/2
Let o(k) be the first derivative of k**3/9 + 2*k**2 + 11*k/3 - 50. Find c such that o(c) = 0.
-11, -1
Let i(p) = 12*p**3 - 9*p**2 + 3. Let y(a) = 9*a**3 - 9*a**2 + 2. Let h(u) = -2*i(u) + 3*y(u). Factor h(f).
3*f**2*(f - 3)
Let o(s) be the first derivative of -8*s**3 + 14 - 1/2*s - 13/4*s**2 - 9/2*s**4. Solve o(t) = 0.
-1, -1/6
Let v(k) be the third derivative of 1/12*k**5 + 11*k**2 + 0*k + 0*k**4 + 0 + 0*k**3 + 1/6*k**6 + 2/21*k**7. Find n such that v(n) = 0.
-1/2, 0
Let m(g) be the second derivative of 7*g**6/240 + 9*g**5/80 + g**4/8 + 4*g**3/3 - 21*g. Let x(f) be the second derivative of m(f). Factor x(p).
3*(p + 1)*(7*p + 2)/2
Let a(l) = l**3 + 2*l**2 + 2*l. Let n be a(-2). Let c be (-19)/n - (2 + 2). Factor 1/4 + 1/4*b**3 + c*b + 3/4*b**2.
(b + 1)**3/4
Let i(f) = -10*f**4 - 15*f**3 + 7*f**2 - 3. Let c = 6 + -3. Let k(a) = a**4 + a**3 - a**2 + 1. Let m(s) = c*k(s) + i(s). Factor m(q).
-q**2*(q + 2)*(7*q - 2)
Let n = -60 + 62. Let 4/3 + 2/3*o**2 - n*o = 0. Calculate o.
1, 2
Let j = -477/26 - -245/13. Factor -7/2*t**4 + 8 + 8*t**3 - 4*t**2 - 8*t + j*t**5.
(t - 2)**4*(t + 1)/2
Suppose -164 - 81 = -35*w. Let v(t) be the second derivative of 4*t**3 - t**4 + 1/10*t**5 - 8*t**2 - w*t + 0. Factor v(d).
2*(d - 2)**3
Solve -21/2*t**4 + 269/2*t**3 - 6 - 291/2*t**2 + 52*t - 49/2*t**5 = 0 for t.
-3, 2/7, 1
Let o(t) be the second derivative of t**6/45 + t**5/3 + 11*t**4/6 + 40*t**3/9 + 16*t**2/3 + 182*t. Find k, given that o(k) = 0.
-4, -1
Let c(f) = -39*f**2 - 39*f + 27. Suppose 4*l + 11 - 3 = 0. Let x(w) = -3*w + 2935 + 0*w**2 + 0*w - 2933 - 3*w**2. Let q(g) = l*c(g) + 27*x(g). Factor q(a).
-3*a*(a + 1)
Determine t so that -54*t**5 - 15*t**3 + 56*t**5 - 3*t**3 = 0.
-3, 0, 3
Factor -4*d**5 + 15128*d**2 - 1824*d**3 - 64*d**3 - 44500*d - 392*d**3 + 52500 + 164*d**4 - 528*d**2.
-4*(d - 21)*(d - 5)**4
Let a(f) be the second derivative of -f**7/6720 + f**6/960 - 5*f**4/4 - 28*f. Let g(u) be the third derivative of a(u). Solve g(t) = 0.
0, 2
Let o be 8/18 - (-5260)/(-33138). Suppose 5/7*z**3 - z**2 + 0 + o*z = 0. What is z?
0, 2/5, 1
Let i be 2/(-17) + (-51240)/(-10710). Factor -4/3 + i*s**2 - 10/3*s.
2*(s - 1)*(7*s + 2)/3
Let c(l) = 2*l**2 + 4*l. Let h(n) = -8*n**2 - 18*n. Let x(g) = 18*c(g) + 4*h(g). Factor x(v).
4*v**2
Let w = -384 - -239. Let s = 1163/8 + w. Factor 3/8*t**4 - 3/8*t**3 - 3/8*t**2 + s*t + 0.
3*t*(t - 1)**2*(t + 1)/8
Let f(o) be the third derivative of o**7/735 - 3*o**6/140 + 2*o**5/21 - o**4/7 + 3*o**2 - 9*o. Factor f(z).
2*z*(z - 6)*(z - 2)*(z - 1)/7
Let s(k) = k**2 + 5*k + 20. Let p be s(-10). Let r be (-16)/p + (-24)/(-56). Factor -r*u**4 + 0*u**2 + 0*u + 0*u**3 + 1/5*u**5 + 0.
u**4*(u - 1)/5
Let o be (39/(-26))/((-2)/(-4)). Let m = -1 - o. Factor 2/11 + 0*g - 2/11*g**m.
-2*(g - 1)*(g + 1)/11
Let a be (1/(-4))/(22*(-27)/4752). Factor 1/2*s**a - 7 - 5/2*s.
(s - 7)*(s + 2)/2
Let w(z) = -2*z**2 - 16*z + 5. Let h be w(-8). Factor 2*d**h + 6 + 15*d - 12*d**3 + 6*d**2 - 6*d**5 + d**5 - 12*d**4.
-3*(d - 1)*(d + 1)**3*(d + 2)
Let o be -5 + (-5)/((-4)/(-8)*-2). Let l(f) be the first derivative of o*f**2 + 0*f**3 + 0*f - 1/10*f**5 + 1/4*f**4 + 7. Factor l(t).
-t**3*(t - 2)/2
Factor 51*f**2 - 75*f + 65*f**2 + 27*f**3 - 46*f**2 - 23*f**3 + f**3.
5*f*(f - 1)*(f + 15)
Let j(s) = 5*s**3 + 21*s**2 - 47*s - 69. Let x(v) = -4*v**3 - 20*v**2 + 48*v + 68. Let r(h) = -4*j(h) - 6*x(h). Let r(m) = 0. What is m?
-11, -1, 3
Let v(b) be the third derivative of -23*b**2 + 1/40*b**6 + 5/8*b**4 + 3/10*b**5 + 0*b + 0 + 0*b**3. Factor v(y).
3*y*(y + 1)*(y + 5)
Determine y so that -1/2*y**5 - 4*y + 2 + 5/2*y**3 - 1/2*y**4 + 1/2*y**2 = 0.
-2, 1
Determine w, given that 52 - 25*w**3 - 3*w**5 - 52 + 0*w**5 - 20*w**4 + 8*w**5 = 0.
-1, 0, 5
Factor 51*r**2 - 96 - 5*r**3 + 2*r**2 + r**3 + 40 + 3*r**2 + 4*r.
-4*(r - 14)*(r - 1)*(r + 1)
Let m = -55 - -58. Factor -l + 3*l + 8*l**4 + 8*l**2 + 2*l**5 - 15*l**3 + 0*l**5 + 27*l**m.
2*l*(l + 1)**4
Factor 28 - 18*g - 36*g + 5*g**2 + 19*g + 2.
5*(g - 6)*(g - 1)
Let q(d) be the first derivative of -2*d**3/3 - 234*d**2 - 27378*d - 502. Suppose q(x) = 0. What is x?
-117
Let f be 16/(-10)*(-5)/2. Let a(t) = -2*t**2 - t + 3. Let c(b) = 2*b**2 - 2. Let y(z) = f*a(z) + 6*c(z). Find j such that y(j) = 0.
0, 1
Let p = -105 + 151. Determine y, given that -28*y + 50*y**4 + 28*y**3 - p*y**4 - 36*y + 32*y**2 = 0.
-4, 0, 1
Let g be (-13)/(-4) - 36/(-48). Let c(m) be the second derivative of -1/2*m**g - 4/15*m**6 + 4*m**2 - 4*m + 16/3*m**3 - 13/10*m**5 + 0. Solve c(n) = 0.
-2, -1/4, 1
What is a in 27 - 2*a - 13*a + 6*a - 5*a**3 + 2*a**3 - 15*a**2 = 0?
-3, 1
Let a(d) be the third derivative of d**5/60 - 7*d**4/12 + 5*d**3/2 - 16*d**2. Let s be a(13). Factor -8*c + 6*c**s + 8/3.
2*(3*c - 2)**2/3
Let t(j) be the third derivative of j**6/720 - j**5/360 - j**4/24 + 3*j**2 + 181. Factor t(s).
s*(s - 3)*(s + 2)/6
Let w(f) be the third derivative of -5*f**7/42 + 9*f**6/8 - 15*f**5/4 + 145*f**4/24 - 5*f**3 - 11*f**2 - 2*f. Let w(h) = 0. What is h?
2/5, 1, 3
Let d be (14/28)/((3/(-3))/(-8)). Solve 51/5*h**2 + 6/5 + 9*h - 27/5*h**3 - 18/5*h**5 - 57/5*h**d = 0 for h.
-2, -1, -1/6, 1
Let p(d) = 2*d**2 + 6*d - 3. Let o be p(-5). Solve -o*a**2 + 5*a**2 + 16 + 0*a**2 - 3*a**4 + 16*a**3 - 16*a - a**4 = 0.
-1, 1, 2
Let g(d) = -d**2 + 1. Let z be g(-1). Let f = 13796/34365 + -10/6873. Factor z + f*v - 2/5*v**3 + 0*v**2.
-2*v*(v - 1)*(v + 1)/5
Let h(a) = a**3 - 7*a + 2. Let x be h(-5). Let o = x + 529/6. Suppose -o*i**4 + 0 + 0*i - 1/6*i**3 + 0*i**2 = 0. Calculate i.
-1, 0
Suppose -3*n + 5 + 4 = 0. Suppose 0 = -127*x + 104*x + 92. Factor 0 + 0*g**2 + 0*g + 0*g**x + 0*g**n - 2/9*g**5.
-2*g**5/9
Let d(t) be the second derivative of 3*t**7/14 - 2*t**6/3 + t**5/5 - 7*t. Factor d(x).
x**3*(x - 2)*(9*x - 2)
Suppose -3*v = -2*v - 4*d + 1, 0 = -5*v - 3*d + 41. Suppose 0 = q + v*q - 16. Factor -20/3*g**q + 25/3*g - 10/3 + 5/3*g**3.
5*(g - 2)*(g - 1)**2/3
Let d = 66 - 54. Factor -3*n**3 - d - 98*n**2 + 52*n**2 + 55*n**2 + 0*n**3.
-3*(n - 2)**2*(n + 1)
Factor 68694/13*m - 2450086/13 + 2/13*m**3 - 642/13*m**2.
2*(m - 107)**3/13
Factor -16/7*o + 8/7 + 6/7*o**2.
2*(o - 2)*(3*o - 2)/7
Let x(n) = n**2 + 2*n - 5. Let c be x(-9). Let a be (24/80)/(-4 + c/10). Find p such that -1/3*p**2 + a*p**