184*o**3/3 + 529*o**2/6 - 145*o. Suppose x(a) = 0. Calculate a.
1, 23
Let i(l) = 11*l**3 + 46*l**2 + 136*l + 146. Let u(h) = 24*h**3 + 94*h**2 + 270*h + 291. Let w(k) = -13*i(k) + 6*u(k). Factor w(b).
(b - 38)*(b + 2)**2
Suppose -3*t = -2*d + 145, -3*d = t - 0*t - 212. Let f = -71 + d. Factor 0*u**2 + f + 1/3*u + 1/3*u**5 - 2/3*u**3 + 0*u**4.
u*(u - 1)**2*(u + 1)**2/3
Let l = 21 - 15. Suppose 4*i - i = l. Factor -4 - i*x**2 - 1 + 2 + 5*x**2.
3*(x - 1)*(x + 1)
Let o = -125 - -129. Let u be (-8)/72 - o/(-9). Factor 5/6*q**3 - 1/2*q**2 - u*q + 0.
q*(q - 1)*(5*q + 2)/6
Factor 20*h**2 - 36*h**4 - 2*h**3 - 44*h - 4*h**3 + 40*h + 2*h**3 - 8*h**3.
-4*h*(h + 1)*(3*h - 1)**2
Suppose 0 + 8/3*n + 7/3*n**3 + 31/6*n**2 - 1/6*n**4 = 0. Calculate n.
-1, 0, 16
Let g(f) be the first derivative of -f**3/12 - 7*f**2/4 - 6*f - 64. Factor g(n).
-(n + 2)*(n + 12)/4
Suppose -568 = -10*l + 142. Suppose v**2 - 70*v**3 - v + 1 - 2*v**2 + l*v**3 = 0. Calculate v.
-1, 1
Let z(a) be the first derivative of -9 - 2*a + 16/3*a**6 - 4*a**4 - 7*a**2 - 32/3*a**3 + 32/5*a**5. Let z(t) = 0. Calculate t.
-1/2, 1
Let n(h) be the second derivative of 5/8*h**3 - 5/48*h**4 + 0 - 28*h - 5/4*h**2. Factor n(w).
-5*(w - 2)*(w - 1)/4
Let d(n) be the second derivative of -n**6/30 - n**5/4 - 5*n**4/12 + 5*n**3/6 + 3*n**2 + 4*n + 23. Find o, given that d(o) = 0.
-3, -2, -1, 1
Let l = -2155/22 - -98. Let o(y) be the first derivative of -8 + 0*y**3 + 0*y - 1/11*y**2 + l*y**4. Determine z, given that o(z) = 0.
-1, 0, 1
Let a = 299432 - 26949151/90. Let b = 39/10 + a. Determine g so that -16/9*g**2 + 4/9*g**3 - 4/3*g + b*g**5 - 2/9 + 2*g**4 = 0.
-1, -1/4, 1
Let -33*o**4 - 5571*o**3 - 5*o**2 - 12*o**4 + 5521*o**3 = 0. What is o?
-1, -1/9, 0
Suppose 0 = 637*p + 973 - 2247. Let 2/5 - 2/5*o**p + 4/5*o - 4/5*o**3 = 0. Calculate o.
-1, -1/2, 1
Suppose n - 664 = 3*t, 4*n + 1041 - 161 = -4*t. Let m = t - -1991/9. Suppose m*z**2 + 32/9 + 16/9*z = 0. What is z?
-4
Let g(k) = -41*k + 1724. Let x be g(42). Let -58/19*r**3 - 136/19*r**x - 62/19*r + 24/19*r**4 - 8/19 = 0. What is r?
-1, -1/3, -1/4, 4
Let v be 6 - (-3 + 9)/3. Suppose 5*w = 2*k + 35, -5*w + v*k = -5 - 40. Determine q so that -4*q**5 + 3*q**w - 2*q + 2*q**2 - q + 4*q**3 - 2 = 0.
-1, 1, 2
Let y(f) = f**2 + f - 1. Let t be y(1). Let z be -3 + 3 + t + 1. Factor 27 - 2*g - 5*g**2 - 5*g**2 - 23 + 0*g**z - 4*g**3.
-2*(g + 1)*(g + 2)*(2*g - 1)
Factor 0*f + 0 + 4/7*f**3 + 2/7*f**4 + 2/7*f**2.
2*f**2*(f + 1)**2/7
Let j = -60 + 47. Let q(o) = 23*o**5 - 7*o**3 - 3*o. Let m(v) = -11*v**5 + 4*v**3 + v. Let k(u) = j*m(u) - 6*q(u). Solve k(b) = 0.
-1, 0, 1
Determine n so that 6*n**2 + 86*n**2 + 233 + 172*n + 38*n**2 - 18*n**2 + 12*n**3 - 401 = 0.
-7, -3, 2/3
Suppose -52/3*j - 2/3*j**3 + 6*j**2 + 16 = 0. What is j?
2, 3, 4
Suppose -6*b = 6 + 12. Let i be (-3)/b - (-1 - (0 + 3)). Factor -24/5*j**4 + 0 + 26/5*j**3 + 2/5*j - 12/5*j**2 + 8/5*j**i.
2*j*(j - 1)**2*(2*j - 1)**2/5
Let m(t) be the third derivative of t**6/20 - 13*t**5/20 + 5*t**4/8 + 3*t**3 + 716*t**2. Suppose m(y) = 0. What is y?
-1/2, 1, 6
Let a(z) be the second derivative of -7*z**5/40 + 37*z**4/24 + 8*z**3/3 - 3*z**2 + 10*z - 16. Factor a(c).
-(c - 6)*(c + 1)*(7*c - 2)/2
Let r be (24/(-12))/((-1)/4). What is i in 4 + 12 + 4*i - 2 - 6 - 4*i**3 - r*i**2 = 0?
-2, -1, 1
Solve -6 - 7/2*m**2 + 1/2*m**3 + 8*m = 0 for m.
2, 3
Let f(t) = 0 - 1 + t**2 - 5*t + 4*t + t**3 + 0*t**2. Let z(l) = -15*l**3 - 10*l**2 + 25*l. Let v(r) = -10*f(r) - z(r). Find y such that v(y) = 0.
-2, 1
Let m be (2*-5)/(2595/(-519)). Factor -36/5*d - 108/5 - 3/5*d**m.
-3*(d + 6)**2/5
Factor 0*f**4 + 4/9*f**3 - 2/9*f + 0*f**2 - 2/9*f**5 + 0.
-2*f*(f - 1)**2*(f + 1)**2/9
Let t(s) be the third derivative of -s**6/120 + 21*s**5/10 - 1323*s**4/8 + s**2 + 119*s. Determine x so that t(x) = 0.
0, 63
Let v(k) be the first derivative of k**5/420 - 2*k**3/21 - 3*k**2 + 8. Let n(i) be the second derivative of v(i). Factor n(r).
(r - 2)*(r + 2)/7
Suppose -6 = -5*x - l - 3*l, -x + 2*l = -4. Factor 24*h + 24 + 10 + 11 - 4*h**x - 17.
-4*(h - 7)*(h + 1)
Factor -27/2*d - 6 - 15/2*d**2.
-3*(d + 1)*(5*d + 4)/2
Let o(d) be the first derivative of -5*d**3/3 - 11*d**2/2 - 7*d + 6. Let q(a) = -4*a**2 - 10*a - 6. Let m(h) = -6*o(h) + 7*q(h). Suppose m(w) = 0. What is w?
0, 2
Let l(d) be the third derivative of d**6/900 - d**5/30 + 3*d**4/20 - 13*d**3/45 - 5*d**2. Factor l(g).
2*(g - 13)*(g - 1)**2/15
Let v(w) be the third derivative of -w**6/280 - 2*w**5/15 + 19*w**4/168 + 201*w**2. Suppose v(f) = 0. What is f?
-19, 0, 1/3
Find g, given that 26*g**2 + 96*g + 23*g**2 + 19*g**2 - 160 - 64*g**2 + 60*g = 0.
-40, 1
Let r = -8059 + 8059. What is l in 1/9*l**4 + r*l + 0 + 1/3*l**2 - 4/9*l**3 = 0?
0, 1, 3
Let k(z) = -z**3 + 4*z**2 - 11*z + 138. Let g be k(6). Factor -6/11*m**4 - 2/11*m**2 - 6/11*m**3 + g*m - 2/11*m**5 + 0.
-2*m**2*(m + 1)**3/11
Let o(f) be the third derivative of f**8/84 - 8*f**7/105 - f**6/30 + 4*f**5/15 - 182*f**2. Suppose o(l) = 0. What is l?
-1, 0, 1, 4
Let d = 11 - 9. Suppose 0 = -y - 3*z - 0*z - 12, 0 = 2*y + d*z + 8. Factor 3*m + 0*m - 2*m**2 + y*m - m.
-2*m*(m - 1)
Let t(x) be the second derivative of -x**6/5 - x**5/2 + 41*x**4/6 - 43*x**3/3 + 10*x**2 + x - 22. Find k, given that t(k) = 0.
-5, 1/3, 1, 2
Let v(u) be the first derivative of -10 - 1/15*u**5 - 1/3*u**3 + 4/3*u - 2/3*u**2 + 1/3*u**4. Factor v(t).
-(t - 2)**2*(t - 1)*(t + 1)/3
Let z be (-3)/((-18)/4 + 3). Let -p**z - 12*p**4 + 8 + 5*p**2 + 28*p**3 - 2*p - 26*p = 0. What is p?
-1, 1/3, 1, 2
Let i be 33/154 - (-300)/168. Determine w so that 0 + 27/2*w**4 + 3*w**3 + 0*w**i + 6*w**5 + 0*w = 0.
-2, -1/4, 0
Let w(y) be the third derivative of -y**8/448 + y**6/80 - y**4/32 - y**2 + 19*y. Factor w(j).
-3*j*(j - 1)**2*(j + 1)**2/4
Suppose -14/5*g**2 - 4/5 + 18/5*g = 0. Calculate g.
2/7, 1
Let p(r) be the first derivative of 5*r**4/4 + 1330*r**3 + 530670*r**2 + 94105480*r + 614. Let p(h) = 0. Calculate h.
-266
Let n(i) be the third derivative of i**8/3360 - i**7/1680 - i**6/360 + i**3/3 - 10*i**2. Let f(k) be the first derivative of n(k). Factor f(u).
u**2*(u - 2)*(u + 1)/2
Let z(c) be the second derivative of -5/39*c**4 - 8*c - 1/13*c**5 - 1/273*c**7 + 0 - 1/13*c**2 - 1/39*c**6 - 5/39*c**3. Suppose z(j) = 0. Calculate j.
-1
Let q = 639 + 121. Let n be -4 - (q/(-45))/4. Factor -2/9*j + 0 + 2/9*j**2 + 2/9*j**3 - n*j**4.
-2*j*(j - 1)**2*(j + 1)/9
Let r = -397/4 - -5167/52. Let c = r - -5/182. Determine t so that -c*t**2 + 0 + 1/7*t = 0.
0, 1
Suppose 3*v = 0, -2*a + 14 = 2*v - 0. Let w = -4 + a. Suppose -w*f**2 + 2*f**2 - 7*f + 5*f = 0. Calculate f.
-2, 0
Let g(d) be the first derivative of 16/15*d**3 - 2*d**2 - 1/5*d**4 + 8/5*d - 17. Factor g(f).
-4*(f - 2)*(f - 1)**2/5
Factor -3/7*f**3 - 9*f**2 + 66/7*f + 0.
-3*f*(f - 1)*(f + 22)/7
Suppose 1 = -4*z - 7. Let p be (-1)/(4 + z)*-10. Solve 3*o**p + 9*o**4 - 5*o**3 + 0*o**2 - 6*o**2 - 2 - 9*o + 11*o**3 - 1 = 0.
-1, 1
Let n(f) = 2*f**4 - 289*f**3 + 10651*f**2 - 20448*f + 10083. Let t(d) = d**3 + d**2 - 1. Let y(r) = 2*n(r) + 2*t(r). Factor y(w).
4*(w - 71)**2*(w - 1)**2
Let i = 621 + -5569/9. Determine t so that 0 - 64/9*t**2 + 28/9*t**4 - i*t**3 - 16/9*t = 0.
-1, -2/7, 0, 2
What is a in 12*a + 161*a**2 - 36 - 165*a**2 + 28*a = 0?
1, 9
Let f(p) be the second derivative of -2*p**7/105 + 16*p**6/75 + 13*p**5/25 - 32*p**4/15 - 24*p**3/5 - 274*p. Suppose f(q) = 0. Calculate q.
-2, -1, 0, 2, 9
Let y(o) be the third derivative of o**10/453600 - o**8/6720 + 37*o**5/60 - 8*o**2. Let r(l) be the third derivative of y(l). Suppose r(d) = 0. Calculate d.
-3, 0, 3
Let o(p) be the third derivative of -5*p**8/336 + 5*p**7/21 - 13*p**6/8 + 37*p**5/6 - 85*p**4/6 + 20*p**3 + 19*p**2. Solve o(n) = 0.
1, 2, 3
Let k(f) be the third derivative of -f**6/840 + f**5/60 - f**4/28 + 7*f**2 - 2*f. Factor k(d).
-d*(d - 6)*(d - 1)/7
Factor -93/4*j**4 - 3/4*j**5 + 6897/4*j - 957/2*j**2 - 3993/4 - 447/2*j**3.
-3*(j - 1)**2*(j + 11)**3/4
Let g be (-1 + 3)/(-2) - 3003/84. Let y = 37 + g. Factor -1/4*f + 1/4*f**3 - y*f**4 + 0 + 1/4*f**2.
-f*(f - 1)**2*(f + 1)/4
Find j, given that 8/7*j**2 + 4/7 - 18/7*j = 0.
1/4, 2
Factor 3376*x - x**2 - 1689*x - 1702*x.
-x*(x + 15)
Let r(l) be the third derivative of 0*l - 1/144*l**4 + 0*l**3 - 27*l**2 - 1/120*l**5 + 0. Factor r(k).
-k*(3*k + 1)/