h. Let c = 21 + h. Factor -15*y**2 - 7 - c + 2*y + 17*y + 21*y.
-5*(y - 2)*(3*y - 2)
Let h(k) be the second derivative of -2*k**6/15 - 19*k**5/5 + 22*k**4/3 + 80*k**3/3 - 40*k - 18. Factor h(b).
-4*b*(b - 2)*(b + 1)*(b + 20)
Let g(x) = x - 5. Let v be g(7). Let q be (-4)/(-6) - (-15)/((-1800)/(-16)). Determine a so that 2/5*a + 2/5*a**v - q = 0.
-2, 1
Let b(a) be the third derivative of 5*a**8/168 + 101*a**7/420 + 11*a**6/16 + 11*a**5/15 + a**4/12 - 1744*a**2 + 2. Determine m so that b(m) = 0.
-2, -1, -1/20, 0
Let o = -1700 - -1704. Let g(h) be the second derivative of 4/3*h**4 + 0 - 10/3*h**3 + o*h**2 + 2*h - 1/5*h**5. Determine w, given that g(w) = 0.
1, 2
Let d be 28/18 - (-36)/(-243)*-3. Let 12*x**2 + 4 - 11*x - 5*x**d - x**2 - 5*x**2 + 14 = 0. What is x?
2, 9
Let x be (96/126 - (-3)/(-7))*801. Let r = x - 267. What is b in r*b - 9/7*b**4 + 0*b**2 - 6/7*b**3 + 0 = 0?
-2/3, 0
Let q(c) be the second derivative of 4*c + 200/9*c**2 - 14 + 1/108*c**4 + 20/27*c**3. Factor q(n).
(n + 20)**2/9
Let c be (192/45 - (-6)/15) + (-30)/18. Let r(v) be the first derivative of -9/4*v**4 - c*v**3 + 0*v - 3/2*v**2 - 3/5*v**5 - 9. Factor r(i).
-3*i*(i + 1)**3
Let u(j) be the first derivative of 8/39*j**3 - 12*j + 1/13*j**2 + 8/39*j**4 - 4. Let o(i) be the first derivative of u(i). Factor o(g).
2*(4*g + 1)**2/13
Let n = 160197 - 160194. Find r such that 0*r + 3/2 - n*r**2 + 3/2*r**4 + 0*r**3 = 0.
-1, 1
Solve -1/5*u**4 + 16 + 1/5*u**5 + 136/5*u - 29/5*u**3 + 29/5*u**2 = 0.
-5, -1, 4
Let o(g) be the first derivative of 2/3*g**3 - 20 - 2*g - 1/6*g**4 + 1/3*g**2. Let o(a) = 0. Calculate a.
-1, 1, 3
Let g(h) = 60*h**3 + 650*h**2 - 3590*h + 2810. Let v(z) = 5*z**3 + 54*z**2 - 299*z + 234. Let b(d) = 3*g(d) - 35*v(d). Find q such that b(q) = 0.
-16, 1, 3
Solve 191/2*s**2 + 189/2 + 379/2*s + 1/2*s**3 = 0 for s.
-189, -1
Find m such that -4*m**2 + 92257*m - 46124*m - 45897*m = 0.
0, 59
Suppose 5*k = -4*k + 1080. Suppose -6*z + 11*z = k. Factor -54*b**2 + 95*b + 14*b**2 - 6 - z - 25*b**3.
-5*(b - 1)*(b + 3)*(5*b - 2)
Let n(f) = -12*f**3 + 3*f**2 + f. Let g be n(-1). Let l = 6 + g. Factor -5 + 15*w**3 + 1 + 20*w**2 - 10*w**4 - l*w - 5*w**5 + 4.
-5*w*(w - 1)**2*(w + 2)**2
Suppose 38*n - 18*n - 273*n + 1012 = 0. Find p such that -3/8*p**5 + 3*p**n + 0 - 9*p**3 - 6*p + 12*p**2 = 0.
0, 2
Suppose 111475/2*m**2 + 1/2*m**5 + 73849958 + 17395/2*m**3 + 245/2*m**4 - 8115380*m = 0. What is m?
-91, 14
Let v(z) be the first derivative of 2*z**5/5 + 19223*z**4/7 + 105589192*z**3/21 + 15081032*z**2/7 + 10118. Let v(p) = 0. What is p?
-2746, -2/7, 0
Let p(s) be the third derivative of -2809*s**6/36 + 2279*s**5/45 + 101*s**4/9 + 8*s**3/9 + 16*s**2 + 2. Factor p(m).
-2*(5*m - 2)*(53*m + 2)**2/3
Factor -664*q**2 + 322*q**4 - 148*q - 648*q**4 + 333*q**4 - 509*q**3.
q*(q - 74)*(q + 1)*(7*q + 2)
Let m(z) = -5*z**4 - 3119*z**3 - 9418*z**2 - 9380*z - 3132. Let c(g) = g**4 - g**3 + 4*g**2 - 2*g. Let b(w) = 7*c(w) + m(w). Factor b(p).
2*(p - 1566)*(p + 1)**3
Let f(c) be the third derivative of -c**8/168 - 4*c**7/35 - 47*c**6/60 - 12*c**5/5 - 3*c**4 - 6*c**2 + 394. Solve f(s) = 0 for s.
-6, -3, -2, -1, 0
Suppose -4*h + 24 = 4*i, 5*h = 137*i - 138*i + 50. Let o(b) be the second derivative of -1/4*b**4 - 5/2*b**2 - h*b + 0 - 1/20*b**5 + 3/2*b**3. Factor o(f).
-(f - 1)**2*(f + 5)
Let p be ((-613)/(-12873))/(1/28). Determine b so that -32*b**2 + 88/3*b + 40/3*b**3 - 28/3 - p*b**4 = 0.
1, 7
Factor 265629 + 476526 + 4*t**2 - 351602 + 535108 - 6520*t + 1731239.
4*(t - 815)**2
Let i = 8061355/136422 - 5/12402. Let y(x) be the first derivative of i*x**2 - 7 - 50/11*x**4 - 338/11*x - 382/11*x**3 - 8/55*x**5. Factor y(g).
-2*(g + 13)**2*(2*g - 1)**2/11
Suppose -8*x + 10 + 8 = 3*p - 10, 0 = 4*x - 2*p. Factor 0 - 2/13*y**x - 6/13*y.
-2*y*(y + 3)/13
Let q(o) = 10*o**3 - 286*o**2 + 2138*o - 4157. Let i(p) = 12*p**3 - 284*p**2 + 2136*p - 4156. Let v(j) = 3*i(j) - 4*q(j). Solve v(s) = 0.
4, 65
Let m be ((-297)/198)/((-1)/14). Let v be ((-6)/5)/(19 - m). Factor 0 - 9/5*b**2 + 0*b + 6/5*b**3 + v*b**4.
3*b**2*(b - 1)*(b + 3)/5
Let f = 4/13043 + 13015/91301. Suppose 0 - f*q**3 + 1/7*q - 1/7*q**2 + 1/7*q**4 = 0. Calculate q.
-1, 0, 1
Let m be (-6)/3 - (5 + -8). Let r be 8/2 - -24 - (3 + m). Find h such that -49*h - 3*h**2 + r*h + 28*h = 0.
0, 1
Let q = -87 + 84. Let a be (-1815)/(-484) - 1*q. What is w in 225*w**2 + 250*w**3 + a + 135/2*w = 0?
-3/10
Determine q so that -16135552*q**5 + 32*q - 96*q + 68*q**3 + 16135548*q**5 = 0.
-4, -1, 0, 1, 4
Let h(z) be the second derivative of z**4/84 - 22*z**3/21 + 123*z**2/14 + z - 6. Factor h(i).
(i - 41)*(i - 3)/7
Solve 2/7*g**2 - 50/7*g - 52/7 = 0 for g.
-1, 26
Solve 326/13*q - 736/13*q**2 - 8/13*q**4 + 132/13 + 22*q**3 = 0 for q.
-1/4, 1, 2, 33
Let m(p) = 4*p**2 + 10*p + 5. Let q be m(5). Suppose 151*s + 108 = q*s. Factor -5*b**4 - 38*b**3 - 7*b - 1 - 10*b + 13*b + s*b**2 + 21*b**4.
(b - 1)**2*(2*b - 1)*(8*b + 1)
Let v = 6 - 4. Factor 0*g**3 - 10*g + 7*g**3 - 5*g**v + g**3 + 5*g**4 + 2*g**3.
5*g*(g - 1)*(g + 1)*(g + 2)
Let o(p) be the second derivative of 11*p + p**3 + 11*p**2 + 1/10*p**5 + 5/8*p**4 + 0. Let k(n) be the first derivative of o(n). Factor k(z).
3*(z + 2)*(2*z + 1)
Factor -18221/4*y - 275/4*y**3 - 18769/2 + 1/4*y**4 + 19041/4*y**2.
(y - 137)**2*(y - 2)*(y + 1)/4
Let c = -2545 + 17823/7. Let p(o) be the first derivative of 8/21*o**3 + 0*o**2 + 2/5*o**5 + 0*o - c*o**4 + 8. Factor p(i).
2*i**2*(i - 2)*(7*i - 2)/7
Let o(d) be the second derivative of d**4/20 - 2163*d**3/5 + 14035707*d**2/10 - 10*d + 109. Factor o(p).
3*(p - 2163)**2/5
Let k(t) be the second derivative of -5*t**7/42 + t**6/2 - 5*t**4/3 - 858*t. Suppose k(s) = 0. Calculate s.
-1, 0, 2
Factor 888 + 848*b + 19*b**2 + 26*b**2 + 20*b**2 - 42 - 63*b**2.
2*(b + 1)*(b + 423)
Suppose -3*i = f + 3, 3*i + 5 = 4*f - 13. Let -p**2 - 22 + f*p - 11*p + 15*p + 16*p = 0. Calculate p.
1, 22
Let c(l) = 3*l**2 - 40*l - 55. Let h(d) = -6*d**2 + 79*d + 115. Let s(u) = -5*c(u) - 2*h(u). Determine z, given that s(z) = 0.
-1, 15
Let w(l) be the third derivative of l**6/30 - 86*l**5/5 + 5875*l**4/2 - 250000*l**3/3 + 96*l**2 - 12*l. Find r such that w(r) = 0.
8, 125
Suppose -2*w + 10 = 3*w. Let p = w + 5. Factor -p - 4*f**3 + 3*f**4 + f + 5 - f**4 + 3*f.
2*(f - 1)**3*(f + 1)
Suppose 26*y + 10 = 21*y. Let x be (-12)/y - (-7 - -10). Factor 8*h + 13*h - x*h - 3*h**2 + 21.
-3*(h - 7)*(h + 1)
Suppose 859 - 783 = 19*d. Let w(x) be the third derivative of 0 + 10*x**2 + 5/36*x**d + 1/90*x**5 + 4/9*x**3 + 0*x. Solve w(q) = 0.
-4, -1
Find q, given that -122834*q**2 + 122831*q**2 - 1905*q + 555 - 2457 = 0.
-634, -1
Suppose -100352/11 - 2/11*h**2 + 896/11*h = 0. Calculate h.
224
Suppose -82 = 5*i + 4*o, 2849 = 3*i + 3*o + 2912. Solve 27/5*p - 54/5 - 1/5*p**3 + 0*p**i = 0 for p.
-6, 3
Factor 0 + 3/4*y**3 - 3735/4*y - 309*y**2.
3*y*(y - 415)*(y + 3)/4
Suppose 2*o + 510 = 424. Let x = o + 47. Factor 1/2*k**2 + 1/6*k - 1/6*k**3 - 1/3 - 1/6*k**x.
-(k - 1)**2*(k + 1)*(k + 2)/6
Solve -272/3*h - 1/3 + 91*h**2 = 0.
-1/273, 1
Let g be 1/(-66) - ((-16)/(-24) - (-28)/(-33)). Let z(a) be the second derivative of g*a**4 + 10*a + 0 - 4/7*a**2 - 4/7*a**3. Find x such that z(x) = 0.
-2/7, 2
Let q(w) be the first derivative of w**4/54 - 34*w**3/27 + 289*w**2/9 + 2*w - 47. Let i(o) be the first derivative of q(o). Solve i(v) = 0.
17
Let c = -6970/129 + 2782/43. Factor 8/3*u**2 - 4/3*u**3 + c*u + 0.
-4*u*(u - 4)*(u + 2)/3
Let y(c) be the first derivative of c**5/10 - 29*c**4/16 + 67*c**3/6 - 51*c**2/2 + 18*c + 3246. Factor y(m).
(m - 6)**2*(m - 2)*(2*m - 1)/4
Suppose -82 = 15366*s - 15379*s + 139. Let l(k) be the first derivative of 0*k**2 + 1/5*k**4 + 0*k - 8/15*k**3 - s. Let l(h) = 0. What is h?
0, 2
Suppose 19 = 2*x - 5*h, 8*h = 4*h - 12. Suppose x*t - 64 = -2*t. Factor -t*z**4 + 16*z**3 - 20*z + 4*z**5 + 71*z**2 + 8 + 69*z**2 - 132*z**2.
4*(z - 2)*(z - 1)**3*(z + 1)
Let q(z) = -23*z**3 - 105*z**2 + 440*z + 204. Let a(m) = -22*m**3 - 106*m**2 + 440*m + 200. Let i(g) = -3*a(g) + 2*q(g). Factor i(o).
4*(o - 3)*(o + 8)*(5*o + 2)
Let j = -2472 + 1448. Let o = 1024 + j. Let -4/9*h**2 - 8/3*h + o = 0. Calculate h.
-6, 0
Let l(b) be the second derivative of b**6/15 + 3*b**5 + 281*b**4/6 + 232*b**3 - 1008*b**2 - 4524*b. Let l(o) = 0. Calculate o.
-12, -7, 1
Su