 Solve u(x) = 0.
-1, 1, 7
Let s be (-4)/90 + 18354/21735. Solve 0 + 1/5*w - 1/5*w**3 + s*w**2 - 4/5*w**4 = 0.
-1, -1/4, 0, 1
Let j(z) be the second derivative of -80/3*z**4 - 205/6*z**3 - 4 - 23/2*z**5 - 5/42*z**7 - 7/3*z**6 - 43*z - 25*z**2. Let j(a) = 0. What is a?
-10, -1
Let z(q) be the third derivative of -q**7/5040 + q**6/96 - 7*q**5/120 + 61*q**4/24 + 34*q**2. Let m(h) be the second derivative of z(h). Factor m(v).
-(v - 14)*(v - 1)/2
Let m(f) be the third derivative of f**6/540 - f**5/15 + 3*f**4/4 - 4*f**3 - 312*f**2 + 3. Factor m(u).
2*(u - 12)*(u - 3)**2/9
Suppose -2/11*u**4 - 360/11*u + 214/11*u**2 - 36/11*u**3 + 184/11 = 0. Calculate u.
-23, 1, 2
Suppose 0 = q + 353*c - 348*c + 82, -3*c = -2*q + 57. Factor 3/5*k**q - 15 - 33/5*k**2 + 21*k.
3*(k - 5)**2*(k - 1)/5
Let g = -682 - -8868/13. Suppose -4*p + 15 = r, -6 = -5*p - r + 4*r. Suppose 16/13*s - g*s**p + 0 - 4/13*s**2 = 0. What is s?
-4, 0, 2
Let j = -61 + -223. Let d = j - -287. Factor 0 - 6/7*s**2 + 2/7*s**d + 4/7*s.
2*s*(s - 2)*(s - 1)/7
Factor 2*a**2 + 0 + 220/9*a.
2*a*(9*a + 110)/9
Factor -4761 - 1/4*c**2 - 69*c.
-(c + 138)**2/4
Let x = 109 - 60. Let n = -44 + x. Factor 6 + 0*d - n + 3 + 2*d - 2*d**2.
-2*(d - 2)*(d + 1)
Let m = -153 - 505. Let w = 661 + m. Solve -75/2*i - 3/2*i**w - 15*i**2 + 0 = 0.
-5, 0
Let z = -9971779/10 - -997178. Find i such that -z*i**4 + 0*i + 0 + 9/5*i**3 - 81/10*i**2 = 0.
0, 9
Let w(v) = 4*v**2 - 318*v + 3352. Let g be w(67). What is p in -12/7*p**4 + 4/7*p**5 + 4/7*p**3 + 0 - 8/7*p + 12/7*p**g = 0?
-1, 0, 1, 2
Let i be (-2)/2*(2 + -59). Factor 5*m + 80*m**2 - i*m**3 - 149 + 2*m**3 + 119.
-5*(m - 1)**2*(11*m + 6)
Let m(y) be the first derivative of -3*y**4/4 + 59*y**3 - 1056*y**2 - 15360*y + 10018. Factor m(a).
-3*(a - 32)**2*(a + 5)
Let j(m) be the second derivative of 234*m**3 - 2 + 18*m**5 + 210*m**2 - 52*m + 9/10*m**6 + 463/4*m**4. Factor j(b).
3*(b + 5)*(b + 7)*(3*b + 2)**2
Let o(w) = 15*w + 184. Let i be o(-12). Suppose -57*b**4 - 52*b**4 + 36*b**3 + 218*b**2 + 169*b**i + 504*b - 58*b**4 + 392 = 0. Calculate b.
-7, -2
Let n(a) be the second derivative of a**7/6300 - a**6/100 + a**4/3 + a**3/2 + 11*a - 3. Let w(q) be the third derivative of n(q). Factor w(p).
2*p*(p - 18)/5
Let d(p) be the first derivative of -p**6/40 + p**5/60 + p**4/12 + 31*p**2 - 59. Let l(t) be the second derivative of d(t). Factor l(j).
-j*(j - 1)*(3*j + 2)
Let l be (-88 - -61)*(-14)/189. Factor 2/3 + 2/3*v**4 + 1/3*v**3 - l*v**2 + 1/3*v.
(v - 1)**2*(v + 2)*(2*v + 1)/3
Let y = 36047/60 - 9008/15. What is q in y*q**4 + 1 - 3/4*q**2 - 1/2*q**3 + q = 0?
-1, 2
Let 3648/5*v**2 - 2/5*v**3 + 449511424/5 - 2217984/5*v = 0. Calculate v.
608
Suppose 5*y + 13 - 23 = 0. Factor -60 - 2376*i + 4683*i - 2372*i - 5*i**y.
-5*(i + 1)*(i + 12)
Let g(p) be the second derivative of -p**4/4 + 31*p**3/6 - 5*p**2 + 105*p + 6. Factor g(f).
-(f - 10)*(3*f - 1)
Let j(v) be the third derivative of -v**6/12 + 253*v**5/30 - 97*v**4/3 - 196*v**3/3 + 789*v**2. Factor j(a).
-2*(a - 49)*(a - 2)*(5*a + 2)
Let a(y) be the third derivative of -2*y**7/105 + 11*y**6/15 - 56*y**5/5 + 245*y**4/3 - 686*y**3/3 - 226*y**2. What is v in a(v) = 0?
1, 7
Let o(b) be the first derivative of b**4/8 + 19*b**3/3 + 31*b**2/4 - 111*b - 12700. Factor o(q).
(q - 2)*(q + 3)*(q + 37)/2
Let l(o) = 2304*o - 29949. Let q be l(13). Factor 5/2*p**2 - p**q + 2 + 11/2*p.
-(p - 4)*(p + 1)*(2*p + 1)/2
Let v(p) be the second derivative of -1/20*p**4 - 9/5*p**3 - 51/10*p**2 + 0 + 61*p. Factor v(k).
-3*(k + 1)*(k + 17)/5
Let x be 8/(-38) - 33150/(-19380). Factor -2*b**3 - x + 2*b + 1/2*b**4 + b**2.
(b - 3)*(b - 1)**2*(b + 1)/2
Let s be (-2)/8 - 38/8 - 58*(-180)/1305. Suppose -10*n - 2/3*n**s + 22/3*n**2 - 18 = 0. Calculate n.
-1, 3, 9
Let o(k) be the first derivative of -4*k**5 - 27*k**4 + 440*k**3/3 + 96*k**2 + 832. Factor o(r).
-4*r*(r - 3)*(r + 8)*(5*r + 2)
Let l(w) = -w + 15. Let a be l(-2). Suppose a = 2*i - 13. Factor -m**5 + 4*m**4 - 2*m**5 + 2*m**4 + 9*m**3 + 3*m - 12*m**2 - i*m.
-3*m*(m - 2)**2*(m + 1)**2
Let b(x) be the third derivative of 1/144*x**6 + 0*x + 0 - 137*x**2 - 11/36*x**5 + 605/144*x**4 + 0*x**3. Factor b(w).
5*w*(w - 11)**2/6
Let p(b) be the first derivative of -352/3*b**3 - 196/5*b**5 - 183 + 0*b + 175*b**4 + 24*b**2. Factor p(m).
-4*m*(m - 3)*(7*m - 2)**2
Let j(p) = -151*p + 56929. Let z be j(377). Factor -32/3*h + 0 + 2/3*h**3 + 4*h**z.
2*h*(h - 2)*(h + 8)/3
Let x(j) = j**2. Let y(c) = 511*c**2 + 156*c + 12. Let n = 57 - 52. Suppose n*p = -4*h + 41, 7 = 3*h - 3*p + 2*p. Let w(d) = h*x(d) - y(d). Factor w(i).
-3*(13*i + 2)**2
Let c = 7252726/4947 - 24896/17. Let p = c + 5/97. Factor p*f + 0 - 1/3*f**2.
-f*(f - 5)/3
Suppose 0 = -11*b + 104 - 82. Suppose -316 - 7*l**2 - l**3 + 0*l**3 - 29*l**b + 282 - 69*l = 0. What is l?
-34, -1
Let k(h) = 15*h**3 + 98*h**2 + 127*h + 56. Let j(l) = 10*l**3 + 65*l**2 + 85*l + 35. Let z(q) = 8*j(q) - 5*k(q). Solve z(d) = 0 for d.
-3, 0
Let g(x) be the second derivative of 0 + 5/12*x**4 - 135/2*x**2 + 65/3*x**3 - 65*x. Find h, given that g(h) = 0.
-27, 1
Let u(n) be the first derivative of n**4/16 - 47*n**3 + 19881*n**2/2 + 4144. Factor u(z).
z*(z - 282)**2/4
Determine z so that 26/3*z**2 + 1/3*z**4 + 11/3*z**3 + 16/3*z + 0 = 0.
-8, -2, -1, 0
Let q be 16 + -23 - (-1 + -5). Let g(d) = d + 1. Let v(b) = -b**2 + 8*b - 6. Let l(k) = q*v(k) - 6*g(k). Factor l(t).
t*(t - 14)
Suppose -10*c - 380 = -5330. Let v be (-5)/(c/22) + 64/126. Factor -m**2 + m**4 + 0 - v*m + 2/7*m**3.
m*(m - 1)*(m + 1)*(7*m + 2)/7
Let a(l) be the third derivative of l**7/21420 + l**6/3060 - l**5/340 + l**4/12 + 19*l**3/2 + 21*l**2. Let j(v) be the second derivative of a(v). Factor j(k).
2*(k - 1)*(k + 3)/17
Let q(s) be the first derivative of -3*s**5/80 + 15*s**4/2 - 600*s**3 + 24000*s**2 - 213*s - 205. Let b(m) be the first derivative of q(m). Factor b(k).
-3*(k - 40)**3/4
Factor -3810*i**2 - 7688*i**2 - 4375 + 523*i**3 - 72*i**4 + 1013 + 1373*i**3 - 12956*i.
-2*(2*i + 1)**2*(3*i - 41)**2
Let h = 1093 + -1714. Let z = 623 + h. What is t in 2/11*t**z + 4/11*t + 0 = 0?
-2, 0
Suppose -28*v - 3*v + 37 = -25. Factor 4/3*b**3 - 16/3 - 4/3*b + 16/3*b**v.
4*(b - 1)*(b + 1)*(b + 4)/3
Suppose 5*k = -2*i + 14 - 20, -9*i - 27 = -4*k. Let t(a) be the second derivative of 0*a**2 + 23*a + 0 + 5/6*a**4 - 1/4*a**5 + k*a**3. Factor t(o).
-5*o**2*(o - 2)
Let q(x) be the first derivative of 4*x**5/5 + 24*x**4 + 740*x**3/3 + 900*x**2 + 10127. Factor q(o).
4*o*(o + 5)*(o + 9)*(o + 10)
Let j(h) be the second derivative of -h**4/96 + 13*h**3/12 + 165*h**2/16 + 2*h - 91. Factor j(z).
-(z - 55)*(z + 3)/8
Let x(r) be the first derivative of -2*r**3/3 - 599*r**2 - 2388*r + 2295. Factor x(q).
-2*(q + 2)*(q + 597)
Let z be -4 + 370/259 + (-1750)/(-147). Suppose 5*r**5 - 239/3*r**4 - 149/3*r**2 + z - 24*r + 139*r**3 = 0. Calculate r.
-2/5, 1/3, 1, 14
Let b(l) = 4*l**2 + 30*l + 66. Let k be b(-4). Let j be (39/(-195))/(8/k - 2). Factor 4/3*f + 8/3 + j*f**2.
(f + 4)**2/6
Let h(x) = -x**2 - 35*x - 10. Let s be h(-31). Let b = 116 - s. Let 6/5*c**4 + 0*c - 3/5*c**5 + 0 - 3/5*c**3 + 0*c**b = 0. What is c?
0, 1
Let v = 501 - 310. Suppose -49*o**5 - 110*o**3 + 9*o**3 - 4 + 57*o**3 - v*o**3 - 60*o - 175*o**4 - 145*o**2 + 20*o = 0. Calculate o.
-1, -2/7
Let v(p) = -7*p**3 + 7*p**2 + p - 7. Let q(a) = 4*a**2 - 12*a**2 + a + 4 + 4 + 8*a**3 - 2*a. Suppose 21*o + 49 = 28*o. Let k(z) = o*v(z) + 6*q(z). Factor k(c).
-(c - 1)**2*(c + 1)
Let i be (1519/(-6))/31 - -9. Let v(p) be the second derivative of 3/4*p**5 - 5/6*p**4 + 0 - i*p**3 + 2*p + 0*p**2. Find d, given that v(d) = 0.
-1/3, 0, 1
Suppose 0 = 6*l - 2*l - 2*f - 10, 4*l - 4*f = 0. Suppose -2*m + 15 = 2*p + l, -3*p = -4*m + 20. Let 8*w - 2*w - 3*w - m*w**3 + 2*w = 0. Calculate w.
-1, 0, 1
Let z(v) = 5*v**3 + v**2. Let h be z(1). Suppose 2*x + 0*j = -2*j + h, -2*x = -5*j + 8. Factor -3*c - 3 - x + 5*c**3 + 15*c**2 - 11 - 2*c.
5*(c - 1)*(c + 1)*(c + 3)
Let i = -1465 - -1470. Let y(r) = -2*r - 3. Let u be y(-3). Factor u*x**2 - 3*x**2 + i*x**2 + 0 - 10 + 5*x.
5*(x - 1)*(x + 2)
Let d(s) be the first derivative of -s**5/20 + 23*s**4/16 - 101*s**3/12 - 23*s**2/8 + 51*s/2 + 3564. Suppose d(y) = 0. What is y?
-1, 1, 6, 17
Let p(y) be the third derivative of -y**5/12 + 160*y**3/3 + 1948*y**2. Suppose p(a) = 0. 