. What is b?
-2811
Let v be (2 - 1) + 2*(-36)/(-24). Suppose -2*z + 4 - 6*z**2 + 4*z - 8*z + 4*z + 2*z**3 + 2*z**v = 0. What is z?
-2, -1, 1
Let h = 38 + -39. Let d be h + -1*9*(-6)/9. Factor 433 - 437 + d*p - p - p**2.
-(p - 2)**2
Factor 1/5*g**4 + 1796/5*g + 896/5 + 1128/5*g**2 + 229/5*g**3.
(g + 1)*(g + 2)**2*(g + 224)/5
Let -4608*v + 96*v**2 - 1/2*v**3 + 0 = 0. Calculate v.
0, 96
Let i = -1307 + 1301. Let v be (-27 + (-483)/(-21))/(4/i). Factor -v - 3/2*a**3 - 15/2*a**2 - 12*a.
-3*(a + 1)*(a + 2)**2/2
Let y(p) = p**3 - 8*p**2 + 6*p - 36. Let c be y(8). Factor 24*t**3 + c*t - 2*t + 12*t**5 - 14*t + 32*t**4.
4*t*(t + 1)**3*(3*t - 1)
Let v(y) = -y**3 - 4*y**2 - 8*y - 10. Let h be v(-2). Let j be 1 - ((33/(-6))/11)/h. Solve 0 - j*s**2 - 3/8*s - 3/8*s**3 = 0 for s.
-1, 0
Factor -12/7*m**2 - 48/7*m - 64/7 - 1/7*m**3.
-(m + 4)**3/7
Let b = 93 - 45. Suppose -12*n - 7*n + 95 = 0. Factor -z**3 - 48*z + 88*z - b*z + n*z**2 + 4.
-(z - 2)**2*(z - 1)
Let a(t) be the third derivative of t**7/315 - 23*t**6/36 + 227*t**5/90 - 113*t**4/36 + 487*t**2. Determine w, given that a(w) = 0.
0, 1, 113
Let w = -26/15 - -33/20. Let c = 19/60 - w. Factor 2/5*m + 3/10*m**2 - c.
(m + 2)*(3*m - 2)/10
Let j(g) = 4*g**2 + 15 + 513*g - 1020*g + 523*g - 1. Let l be 1 + (0 - 1) + -4. Let d(z) = 5*z**2 + 17*z + 15. Let c(o) = l*d(o) + 6*j(o). Factor c(x).
4*(x + 1)*(x + 6)
Let n(b) = -8*b**2 - 221*b + 243. Let f(a) = a**2 - 2*a - 1. Let k(v) = -21*f(v) - 3*n(v). Suppose k(m) = 0. What is m?
-236, 1
Let n(z) be the third derivative of -z**5/270 - 217*z**4/27 - 188356*z**3/27 - 111*z**2 - 7*z - 2. Factor n(g).
-2*(g + 434)**2/9
Let l(r) = r**4 - 1. Let j(c) = c**5 - c**4 + 4*c**3 + 2*c**2 - 5*c - 1. Let i(q) = -13*q**2 + 3*q - 5. Let h be i(1). Let k(s) = h*l(s) + 5*j(s). Factor k(v).
5*(v - 2)*(v - 1)**3*(v + 1)
Let d(s) = -54*s**2 - 33*s - 17. Let a(i) be the second derivative of -7*i**4/12 - 2*i**3/3 - i**2 + 27*i. Let l(h) = 51*a(h) - 6*d(h). Factor l(m).
-3*m*(11*m + 2)
Let k(x) be the second derivative of -x**6/105 - 11*x**5/70 - 15*x**4/14 - 27*x**3/7 - 54*x**2/7 + 89*x + 6. Determine h, given that k(h) = 0.
-3, -2
Let g(v) be the first derivative of 12*v + 4*v**2 - 10 - 1/4*v**4 - 1/3*v**3. Factor g(m).
-(m - 3)*(m + 2)**2
Let v be (-1)/(-2) + 1165*(-9)/(-90). Determine g, given that 3*g**2 + v - 78*g - 38 + 22 + 43 = 0.
2, 24
Suppose -3*s + 388*v + 21 = 392*v, -2*s = -4*v + 6. Let i(q) be the second derivative of 0 - 1/24*q**s - 1/24*q**4 + 5*q + 0*q**2. Let i(d) = 0. What is d?
-1/2, 0
Let j(a) be the first derivative of a**5/25 + 7*a**4/20 + 2*a**3/5 - 14*a**2/5 - 8*a - 466. Factor j(m).
(m - 2)*(m + 2)**2*(m + 5)/5
Factor -12*y**3 - y**4 - 88*y + 1/2*y**5 + 48 + 56*y**2.
(y - 2)**4*(y + 6)/2
Let z = 42362/3 - 804842/57. Factor -18/19*s - 2/19*s**3 + z*s**2 + 0.
-2*s*(s - 3)**2/19
Suppose 0 = -5*c - 2*x - 999 + 3634, 4*c - 2105 = -x. Suppose 46*n - c = 25*n. Factor -1509/4*u**2 - n - 185*u - 49/4*u**4 - 259/2*u**3.
-(u + 5)**2*(7*u + 2)**2/4
Let v(s) be the second derivative of 128*s**5/15 - 56*s**4/3 + 49*s**3/3 + s**2/2 - 53*s. Let u(n) be the first derivative of v(n). Solve u(y) = 0.
7/16
Let w = 1186 + -2116. Let d = 4668/5 + w. Solve 4 - 86/5*q - d*q**2 = 0 for q.
-5, 2/9
Let y(a) be the third derivative of a**7/735 - a**6/210 - 8*a**5/21 + 27*a**4/14 - 27*a**3/7 + 2*a**2 - 873*a. Solve y(k) = 0 for k.
-9, 1, 9
Suppose 4*o - 23 = 3*p - 2*p, 2*p = -2*o + 14. Suppose -91 = -o*q - 73. Factor 2/3*t**2 + 1/3*t - 2/3 - 1/3*t**q.
-(t - 2)*(t - 1)*(t + 1)/3
Let i(n) = -36*n**4 - 199*n**3 - 401*n**2 - 7*n + 7. Let q(b) = 10*b**4 + 66*b**3 + 134*b**2 + 2*b - 2. Let v(o) = -2*i(o) - 7*q(o). Factor v(y).
2*y**2*(y - 34)*(y + 2)
Suppose -383525/4*b - 1/4*b**5 + 619/2*b**3 + 12029/2*b**2 - 19/4*b**4 - 7604375/4 = 0. What is b?
-23, 25
Let i be (-1 - -1)/((-1210)/(-242)). Let b(x) be the first derivative of i*x + 5 - 125/6*x**6 + 55/4*x**4 - 20*x**3 - 10*x**2 + 30*x**5. Solve b(o) = 0 for o.
-2/5, 0, 1
Let o be (-4)/(-2)*((-3 - 1) + 5). Suppose 3*b - 55*s = -51*s + o, -3*b = -s - 5. Factor -3/4*j - 9/8 + 3/8*j**b.
3*(j - 3)*(j + 1)/8
Find k, given that -171/4*k + 3/4*k**3 - 81/4*k**2 - 87/4 = 0.
-1, 29
Let y(f) be the second derivative of f**4/132 + 357*f**3/22 + 535*f**2/11 + 10825*f. Find b, given that y(b) = 0.
-1070, -1
Let w be 21 + -7 - (-66)/45*6. Find d such that -1083/5 - w*d - 3/5*d**2 = 0.
-19
Let z(f) = -53*f**3 - 2236*f**2 + 3887*f + 1562. Let u(c) = -18*c**3 - 746*c**2 + 1297*c + 522. Let b(l) = 8*u(l) - 3*z(l). Factor b(d).
5*(d - 2)*(d + 51)*(3*d + 1)
Let j(d) be the first derivative of 60*d**2 - 1/4*d**3 - 118 - 4800*d. Suppose j(u) = 0. What is u?
80
Suppose 0 = -2*o + 7 - 1. Let t be (2 + 6 + -6)*(-59)/(-2). Suppose 3*l**2 - t*l + 4*l**o - l**3 + 56*l - 3*l**4 = 0. Calculate l.
-1, 0, 1
Let w = 22 + -234. Let x = 214 + w. Find r, given that x*r**3 + 0*r + 16/7*r**4 + 0 + 4/7*r**2 + 6/7*r**5 = 0.
-1, -2/3, 0
Find d such that 9/5*d + 2/5*d**4 + 27/5 - 1/5*d**3 - 21/5*d**2 = 0.
-3, -1, 3/2, 3
Let x(w) be the first derivative of -2*w**5/45 + 92*w**4 - 153452*w**3/3 + 455400*w**2 - 1361250*w - 11406. Factor x(n).
-2*(n - 825)**2*(n - 3)**2/9
Let w = -4/5994367 + 338405994686/101904239. What is z in -2/17*z**3 - 1825346/17 - w*z - 582/17*z**2 = 0?
-97
Let d(v) be the first derivative of -v**3/3 + 337*v**2/2 + 338*v + 14118. Solve d(l) = 0 for l.
-1, 338
Let m(q) = -q**2 + 76*q - 51. Let x(c) = -84*c + 48. Let n(h) = 3*m(h) + 2*x(h). Factor n(d).
-3*(d - 19)*(d - 1)
Let n = 115 - 133. Let r = -88/5 - n. Solve 2/5*b**2 + 0 + r*b**3 + 0*b = 0.
-1, 0
Let b be -4 - (-6 + -112 + -6). Let 2 + 11 + 37*i**2 - 40*i**3 + 5*i**4 + 73*i**2 - b*i + 32 = 0. Calculate i.
1, 3
Let x(r) be the second derivative of r**4 - 61*r + 9/2*r**2 + 0 + 13/2*r**3. Factor x(h).
3*(h + 3)*(4*h + 1)
Let q(f) = -21*f**2 + 78*f + 99. Let u(y) = -8 - 6 - 11*y + 3*y**2 + 0 + 0. Let o(m) = -4*q(m) - 27*u(m). Factor o(w).
3*(w - 6)*(w + 1)
Let q(p) = p**3 - 7*p**2 - 5*p + 41. Let g be q(7). Factor 0*r**2 + r**5 - 103*r**3 + 6*r**4 + 100*r**3 + 2*r**5 - g*r**2.
3*r**2*(r - 1)*(r + 1)*(r + 2)
Let i(o) be the second derivative of o**8/2100 - o**7/3150 - 13*o**4/12 + 68*o - 1. Let p(w) be the third derivative of i(w). Suppose p(d) = 0. Calculate d.
0, 1/4
Factor 2/7*g**3 - 1074578/7 + 153930*g - 2934/7*g**2.
2*(g - 733)**2*(g - 1)/7
Suppose 6*d - 5*d = -5*f + 70, -3*f - 5*d = -20. Let k(j) be the first derivative of j**3 + 3/35*j**5 + 0*j + 15/28*j**4 + 9/14*j**2 + f. Factor k(i).
3*i*(i + 1)**2*(i + 3)/7
Let s be (-5691)/(-9)*(-28)/(-49) - 0. Let k = s - 361. Find h such that 0 - 2/3*h**3 + 0*h - k*h**2 = 0.
-1/2, 0
Let -1280*o**2 - 13*o**4 + 0 + 0*o - 1/4*o**5 - 224*o**3 = 0. Calculate o.
-20, -16, 0
Let f(x) = -4*x**2 + 12*x + 16. Let j(y) = -y**2 + 3*y + 4. Suppose -18 = -48*q + 47*q. Let w(n) = q*j(n) - 4*f(n). Suppose w(i) = 0. Calculate i.
-1, 4
Let u(w) be the second derivative of -1/10*w**5 + 0 - 121*w + 0*w**2 + 0*w**4 + 1/3*w**3. Find g, given that u(g) = 0.
-1, 0, 1
Let p be ((-17)/7 - (-8)/28)*-7. Let d(t) be the third derivative of 0*t + 0 + p*t**2 + 1/270*t**5 + 1/9*t**3 + 1/27*t**4. Factor d(r).
2*(r + 1)*(r + 3)/9
Let y(m) be the second derivative of m**6/70 + 2091*m**5/140 + 40542*m**4/7 + 6324320*m**3/7 + 18730752*m**2/7 - 503*m + 1. Suppose y(p) = 0. What is p?
-232, -1
Let d be (5 - 13) + (-3 - (1266/(-66) + 8)). Factor 0 + 2/11*h**3 + 0*h - 2/11*h**5 - d*h**2 + 2/11*h**4.
-2*h**2*(h - 1)**2*(h + 1)/11
Let h be (3 - (2 + (-5)/(-15)))/(13/(1170/36)). Factor -5/6*p + 5/6*p**3 - h*p**2 + 5/3.
5*(p - 2)*(p - 1)*(p + 1)/6
Determine z, given that -106/5*z**3 + 237/5*z**2 + 9/5*z**4 - 104/5*z - 36/5 = 0.
-2/9, 1, 2, 9
Factor 328/3*t + 14/3*t**2 - 370.
2*(t - 3)*(7*t + 185)/3
Let z(j) be the first derivative of j**3/3 - 477*j**2 + 227529*j + 2073. Factor z(f).
(f - 477)**2
Suppose -7*u + 5*u - 56 = -4*a, -a + 4*u + 28 = 0. Determine d, given that -19*d**4 - 160*d + 3*d**4 + 242*d**2 - 110*d**2 - 48 + a*d**3 = 0.
-3, -1/4, 2
Let g(v) be the second derivative of v**6/75 + 3*v**5/50 - 13*v**4/3 - 2696*v. Factor g(r).
2*r**2*(r - 10)*(r + 13)/5
Let l be 5/2 + 220/88. Factor p**3 - l*p**2 + 10*p**2 + 5*p + 3*p + 4.
(p + 1)*(p + 2)**2
Find k, given that 872*k**2 + 640*k**2 - 3*k**3 - 1205*k**2 