is u?
-2, -1, 0
Let j be 0 + (-4)/(-2) - -13. Suppose 6*q = 3*q + j. Factor 16 + 3 - 3*m - 4 - 7*m - q*m**2.
-5*(m - 1)*(m + 3)
Let p(i) be the second derivative of i**6/5 - 177*i**5/100 + 41*i**4/10 - 12*i**3/5 + 59*i - 7. Suppose p(r) = 0. What is r?
0, 2/5, 3/2, 4
Let b = 82155 + -82153. Solve -10/21 - 16/21*k**3 - 12/7*k**b - 32/21*k - 2/21*k**4 = 0 for k.
-5, -1
Let g = -73724 + 73729. Factor -1/6*h**2 + 0*h - 1/6*h**3 + 0 + 1/6*h**g + 1/6*h**4.
h**2*(h - 1)*(h + 1)**2/6
Let n(r) be the second derivative of r**5/2 - 99*r**4/2 - 182*r**3/3 + 120*r**2 + 1104*r. Factor n(z).
2*(z - 60)*(z + 1)*(5*z - 2)
Suppose 11*r + 17 = 28. Let c be (-76)/38*(-3 + (3 - r)). Find w, given that 8/5 + 1/10*w**c - 4/5*w = 0.
4
Suppose -33*g - 19*g + 104 = 0. Let y(b) be the first derivative of 9*b**3 + 6*b - 15/4*b**4 - 21/2*b**g - 12 + 3/5*b**5. Factor y(m).
3*(m - 2)*(m - 1)**3
Determine g, given that 5/9*g**2 + 0*g - g**3 + 1/3*g**4 + 1/9*g**5 + 0 = 0.
-5, 0, 1
Let q be (24 + -23)/((-64)/(-800)). Suppose -1/4*c**2 + q*c - 625/4 = 0. Calculate c.
25
Let f(q) be the first derivative of -3*q**5/5 - 15*q**4 + 117*q**3 - 294*q**2 + 300*q + 455. Factor f(o).
-3*(o - 2)**2*(o - 1)*(o + 25)
Let n = 8213/273 + -383/21. Let k = n + -911/78. Find d, given that -1/6*d**2 + k*d**4 + 1/6*d**3 - 1/6*d + 0 = 0.
-1, 0, 1
Let b(t) be the second derivative of -t**7/840 + t**6/180 + t**5/40 - 11*t**3/6 + 5*t + 1. Let y(k) be the second derivative of b(k). Factor y(n).
-n*(n - 3)*(n + 1)
Find x such that -400*x + 4000 - 167*x**2 + 322*x**2 + 5*x**3 - 195*x**2 - x**3 = 0.
-10, 10
Let o(c) be the first derivative of c**4/22 - 694*c**3/33 - 697*c**2/11 - 698*c/11 + 2798. Find i such that o(i) = 0.
-1, 349
Let s = 29066 + -29064. Factor 1/3*o**4 - 4/3 - 2/3*o**3 + 8/3*o - o**s.
(o - 2)*(o - 1)**2*(o + 2)/3
Let t(m) = 500*m**2 - 11680*m - 3855. Let n(c) = -31*c**2 + 730*c + 241. Let z(k) = 65*n(k) + 4*t(k). Factor z(h).
-5*(h - 49)*(3*h + 1)
Factor -766*j - 252 + 536*j**2 + 925 - 453 + 10*j**3.
2*(j - 1)*(j + 55)*(5*j - 2)
Let n(j) be the first derivative of 4*j**5/5 - 26*j**4 - 480*j**3 - 5684. Factor n(h).
4*h**2*(h - 36)*(h + 10)
Let z be ((-1182)/394)/(4/(-8) + (1 - (-2)/(-1))). Factor -22/9 - 2/9*t + 22/9*t**z + 2/9*t**3.
2*(t - 1)*(t + 1)*(t + 11)/9
Let n be 9/((-540)/(-1310)) - -2. Let b = 53/2 - n. Factor -1/3*c**3 - 5/3*c**2 - b*c - 4/3.
-(c + 1)*(c + 2)**2/3
Let a = 511/2290 - -81/458. Solve 0 + 6/5*w**2 + 8/5*w - a*w**3 = 0.
-1, 0, 4
Let u = -52 - -56. Factor 547*f**4 - 3*f**3 + 16*f**2 - f**3 - 549*f**u.
-2*f**2*(f - 2)*(f + 4)
Let m(g) be the third derivative of -g**7/945 + g**6/45 - 7*g**5/270 - 4*g**4/9 + 44*g**3/27 - 681*g**2. Find r, given that m(r) = 0.
-2, 1, 2, 11
Let b be 36*2175/18900 + -6*(-2)/14. Factor -3*p**b - 78/5*p**3 + 57/5*p**4 + 42/5*p**2 - 3/5*p - 3/5.
-3*(p - 1)**4*(5*p + 1)/5
Let i(x) be the first derivative of -x**6/30 - x**5/2 - 2*x**4 - 11*x**3/3 - 7*x**2/2 - 59*x - 25. Let n(z) be the first derivative of i(z). Factor n(c).
-(c + 1)**3*(c + 7)
Let z(a) = 15*a + 1. Let k(m) = -m**2 + 31*m - 42. Let u(s) = -5*k(s) + 15*z(s). Factor u(f).
5*(f + 5)*(f + 9)
Let v(g) be the first derivative of -3*g**4/4 - 10*g**3/3 + 94*g**2 - 120*g + 5339. Factor v(n).
-(n - 6)*(n + 10)*(3*n - 2)
Suppose 217 + 283 = 265*t - 1355. Let l(k) be the second derivative of 0 + t*k + 150*k**2 + 10*k**3 + 1/4*k**4. Factor l(q).
3*(q + 10)**2
Let w = -445 - -442. Let v(t) = 5*t**3 + 55*t**2 + 53*t + 3. Let d(x) = 5*x**3 + 55*x**2 + 54*x + 4. Let q(c) = w*d(c) + 4*v(c). Factor q(a).
5*a*(a + 1)*(a + 10)
Let v(h) be the first derivative of -h**4/18 + 28*h**3/27 - 25*h**2/9 + 8*h/3 - 420. Factor v(b).
-2*(b - 12)*(b - 1)**2/9
Let k(f) be the second derivative of f**7/42 + 4*f**6/15 + 3*f**5/5 - 2*f + 391. Factor k(j).
j**3*(j + 2)*(j + 6)
Suppose 9/2*v**4 - 11/2*v + 29/6*v**3 + 5/3 + 2/3*v**5 - 37/6*v**2 = 0. What is v?
-5, -2, -1, 1/4, 1
Suppose -28/3*d**5 + 55*d**2 - 40/9 + 59/9*d**4 - 142/9*d + 1712/9*d**3 = 0. Calculate d.
-4, -1/3, -1/4, 2/7, 5
Let n be ((-320)/(-30))/(-8)*135/(-40). Let q be ((-14)/(-8))/(-7) + 1. Find w, given that -n*w - q*w**2 - 15/4 = 0.
-5, -1
Solve -1/3*j**4 + j**3 + 4/3*j - 8 + 6*j**2 = 0 for j.
-2, 1, 6
Suppose 3*a = -5*w + 10*w + 2, -4*a - 2*w = -46. Factor -46 - 14*f**2 + a*f**2 + 6 - 7*f**2 + 68*f.
-4*(f - 5)*(3*f - 2)
Suppose -92*u**3 - 4*u**5 + 24*u + 328*u**2 + 163*u**3 + 57*u**5 + 54*u**4 - 49*u**5 - 126 + 157*u**3 = 0. What is u?
-7, -3, -1, 1/2
Let t(i) be the second derivative of i**4/18 - 139*i**3/9 + 75*i. Factor t(d).
2*d*(d - 139)/3
Let t(u) = -3*u**2 + 31*u - 6. Suppose -27*l + 23*l = i - 2, -2*i + l + 22 = 0. Let f be t(i). Factor 0*b + 0*b**2 + 2/13*b**3 + 2/13*b**f + 0.
2*b**3*(b + 1)/13
What is a in -29187*a - a**4 - 8*a**3 - 29186*a - 5 - 18*a**2 + 58357*a = 0?
-5, -1
Let k(z) = -14*z**2 + 39*z - 77. Let p(c) = -8*c**2 + 19*c - 39. Let x = 577 + -580. Let w(f) = x*k(f) + 5*p(f). What is q in w(q) = 0?
2, 9
Let f(y) be the first derivative of 2*y**3/3 - 185*y**2 + 4472*y - 11783. Solve f(d) = 0 for d.
13, 172
Suppose -15*c + 5*a = -14*c + 13, -c = 4*a - 14. Factor -16*r + 6*r**2 + 13 + 23 - 8*r - 3*r**c.
3*(r - 6)*(r - 2)
Determine y so that 289/3*y**2 - 884*y + 2028 = 0.
78/17
Let t(q) be the third derivative of q**7/420 + q**6/90 + q**5/60 - 47*q**3/3 - 14*q**2. Let d(b) be the first derivative of t(b). Determine x so that d(x) = 0.
-1, 0
Let k(d) be the first derivative of 0*d + 6/17*d**3 - 124 + 0*d**2 - 2/17*d**5 - 3/34*d**4 - 1/51*d**6. Factor k(s).
-2*s**2*(s - 1)*(s + 3)**2/17
Let a(t) be the second derivative of -t**6/60 - 371*t**5/40 - 11531*t**4/8 - 33485*t**3/12 + 34225*t**2/2 + 4*t. Solve a(w) = 0.
-185, -2, 1
Let m(g) = -2*g + 28. Let h = -2335 - -2349. Let w be m(h). Let -10*b**3 + 2*b**2 + 11/2*b**4 + w + 35/2*b**5 + 0*b = 0. What is b?
-1, 0, 2/7, 2/5
Suppose 6 = -w - w + v, -v = 2*w + 2. Let o(k) = 13*k**2 - 5*k - 8. Let h be o(w). Factor -h*j**4 - 2*j**2 - 16*j**2 + 51*j**4 + 15*j**3.
-3*j**2*(j - 3)*(j - 2)
Let d(q) be the second derivative of q**6/80 + 123*q**5/40 - 249*q**4/16 + 125*q**3/4 - 501*q**2/16 - 208*q. Factor d(m).
3*(m - 1)**3*(m + 167)/8
Let r(n) = -21*n**2 + 6*n + 2. Let m(c) = -116*c**2 + 31*c + 9. Let f(k) = 6*m(k) - 33*r(k). Let f(d) = 0. Calculate d.
-2
Suppose 12*y - 214 = 566. Suppose -82 = -7*j + y. Solve -2*q**4 + 14*q**4 - 10*q**5 + j*q**5 - 14*q**5 - 12*q**2 - 9*q**3 + 12*q = 0 for q.
-1, 0, 1, 2
Let q(a) = -2*a**2 + 36*a - 28. Let y be q(17). Suppose 2*w - 288 = -y*w. What is d in 21 + 224*d + 27*d**3 - 9 + 204*d**2 + w + d**3 = 0?
-6, -1, -2/7
Let f be ((368/(-5))/(-16))/(-4 - (-72)/15). Determine r, given that f*r**3 - 138*r - 1/8*r**4 - 481/8*r**2 - 72 = 0.
-1, 24
Factor -1/2*u**5 + 14*u**3 - 16*u**2 + 0*u + 0 - 2*u**4.
-u**2*(u - 2)**2*(u + 8)/2
Let q(r) be the second derivative of -r**6/135 + 7*r**5/45 + 31*r**4/54 + 16*r**3/27 + 14*r + 14. Factor q(u).
-2*u*(u - 16)*(u + 1)**2/9
Let n(y) be the first derivative of y**7/70 - 31*y**6/160 - y**5/10 + 5*y**2/2 - 3*y + 44. Let k(b) be the second derivative of n(b). Factor k(x).
3*x**2*(x - 8)*(4*x + 1)/4
Suppose 4/3*a**2 - 2213/3*a + 553/3 = 0. Calculate a.
1/4, 553
Suppose 19*t + 10 = 22*t - 2*l, 3*l = -t - 15. Let g(x) be the second derivative of -3*x + 6/5*x**2 + 7/15*x**3 + t + 1/30*x**4. Factor g(v).
2*(v + 1)*(v + 6)/5
Let o(q) be the third derivative of -q**7/945 + 31*q**6/540 - 59*q**5/270 + 29*q**4/108 - 1902*q**2. Find r, given that o(r) = 0.
0, 1, 29
Let x(m) be the second derivative of 1/24*m**5 - 5/36*m**3 + 1/180*m**6 - 16*m - 7/72*m**4 + 1/2*m**2 + 1. Factor x(i).
(i - 1)**2*(i + 1)*(i + 6)/6
Let t(m) be the third derivative of -m**5/100 - 12*m**4/5 - 279*m**3/10 + 960*m**2. Suppose t(q) = 0. Calculate q.
-93, -3
Suppose 53*w - 9 + 21 = 12. Let q(t) be the second derivative of -10*t**2 - 25*t + w - 25/6*t**3 - 5/12*t**4. Factor q(b).
-5*(b + 1)*(b + 4)
Let v be 4/(-22) - 3*184/(-253). Let g be 26/(-18) + (-6 - -9). Determine k, given that g*k**v + 10/9*k - 4/9 = 0.
-1, 2/7
Let m = 331 + -238. Let 63*v**2 - 638 + 1599 + 94*v**3 + 1023*v - m*v**3 = 0. Calculate v.
-31, -1
Suppose 14*u - 134 = 174. Factor u*o - 9*o + o + 120*o**3 - 65*o**4 + 20*o**2 - 14*o.
-5*o**2*(o - 2)*(13*o + 2)
Let c(n) = 15*n**2 - 345*n + 295