930) + 61/(-15). Factor 16/3*x + 5 + h*x**2.
(x + 1)*(x + 15)/3
Factor 26*g**3 + 3*g**2 - 18*g**3 + 75*g - 61 - 11*g**3 + 0*g**2 - 14.
-3*(g - 5)*(g - 1)*(g + 5)
Determine g so that -440/9*g - 910/9*g**2 + 2/3*g**4 + 440/9*g**3 + 904/9 = 0.
-226/3, -1, 1, 2
Determine p, given that -22609*p + 37*p**2 + 11*p**2 + 22726*p - 3*p**3 - 162 = 0.
-3, 1, 18
Suppose 0 = -s - 5*i - 20, s + 8 + 6 = -2*i. Let l = 15 + s. What is h in 21*h**l + 40*h**3 + 12*h - 40*h**2 + 1 - 5 - 17*h**5 - 20*h**4 + 8*h = 0?
1
Let x be ((-1680)/28 + 36)*2/(-24). Let 0 - m**3 - 3/2*m**4 + 0*m**x - 1/2*m**5 + 0*m = 0. Calculate m.
-2, -1, 0
Let h(w) be the third derivative of -w**5/30 + 5*w**4/4 + 100*w**3/3 - 1149*w**2. Let h(k) = 0. What is k?
-5, 20
Suppose -8 = -l + 5*r, -3*l + 216 = -4*r + 203. Let h(w) be the first derivative of -15 + 0*w - w**l - 9/2*w**2. Factor h(k).
-3*k*(k + 3)
Let i = 60 - 70. Let k be (i/5 + -2)*-1. Find p, given that 6*p**k + 8*p**2 - 32*p**2 + 341*p**3 - 12*p - 338*p**3 = 0.
-2, -1/2, 0, 2
Let t(f) be the second derivative of -f**4/48 - 529*f**3/6 - 279841*f**2/2 + 5243*f. Determine s, given that t(s) = 0.
-1058
Let g(y) be the second derivative of -3*y**5/80 + y**4/8 + 19*y**3/8 - 15*y**2/2 + 6*y. Factor g(c).
-3*(c - 5)*(c - 1)*(c + 4)/4
Let m(w) = 11*w**2 - 2*w. Let c(f) = -20*f**2 + 100*f - 1298. Let o(i) = 2*c(i) + 4*m(i). Solve o(j) = 0 for j.
-59, 11
Suppose -25*m + 25 + 50 = 0. Solve 317*k + 65*k + 13467 + m*k**2 + 20*k = 0.
-67
Let n(x) be the third derivative of x**9/15120 + x**8/1260 - x**5/20 - 7*x**3/2 + 3*x**2 + x. Let c(j) be the third derivative of n(j). Factor c(r).
4*r**2*(r + 4)
Let u(a) be the third derivative of a**7/168 - 5*a**6/6 - 2*a**2 - 101. Determine z, given that u(z) = 0.
0, 80
Let m(b) be the third derivative of b**5/15 - 101*b**4/3 - 406*b**3/3 + 20*b**2 - 5. Factor m(d).
4*(d - 203)*(d + 1)
Let o(w) = -4*w - 12. Let v(i) = -7*i - 24. Let y(a) = 5*o(a) - 3*v(a). Let n be y(-5). Solve -4*t**4 - 2*t**2 - n*t**2 - 27*t**2 - 32*t**3 + 8*t**3 = 0.
-3, 0
Let f be 3 + 2 + 5 + (-42)/6. Let g be (-20)/6*(-5 + 2). Factor 22 + 4*l**2 - 12*l - g - 4*l**2 + f*l**2.
3*(l - 2)**2
Let j(x) be the first derivative of -x**5/140 + x**4/14 + 6*x**3/7 + 20*x**2/7 - 9*x - 78. Let v(f) be the first derivative of j(f). Factor v(h).
-(h - 10)*(h + 2)**2/7
Let s(i) = -2*i - 12. Let u be s(-8). Let l = 8973/1436 - -1/718. Find w such that -7/4*w**4 - 1 + 19/4*w**3 - l*w**2 + u*w + 1/4*w**5 = 0.
1, 2
Factor 815*g**4 - 3267*g**3 - 47*g**4 - 169*g**4 + 3*g**5 + 1030*g**4 + 1166*g**2 + 469*g**2.
3*g**2*(g - 1)**2*(g + 545)
Suppose -2*l = 15*l - 119. Factor -3*i**5 - 10*i**4 - 9*i**4 + 32*i**4 - l*i**4.
-3*i**4*(i - 2)
Suppose -42*a + 45*a = -m + 18, 0 = 3*a - 3*m - 30. Suppose -33*w - w**2 - a - 28*w + 76*w - 19 = 0. What is w?
2, 13
Suppose -69*p = 250 - 250. Determine h so that 0*h**2 + 12/5*h**3 + 0*h - 2/5*h**4 + p = 0.
0, 6
Suppose -7 = v + 3*d, 0 = 13*v - 10*v + 4*d + 6. Let y be (-42)/70*v*(3 + -4). Let -27/5*g**3 - y*g**4 + 0 + 3/5*g + 6/5*g**2 + 24/5*g**5 = 0. What is g?
-1, -1/4, 0, 1/2, 1
Let y be (-4)/42 + (-5299)/735*-10. Determine b so that b + y*b**2 - b - 2*b - 78*b**2 = 0.
-1/3, 0
Factor -64/9*t + 0 - 28/9*t**2 + 2/9*t**3.
2*t*(t - 16)*(t + 2)/9
Let b(l) be the second derivative of -l**9/83160 + l**8/9240 - l**7/2772 + l**6/1980 - 46*l**4/3 + 84*l. Let o(y) be the third derivative of b(y). Factor o(t).
-2*t*(t - 2)*(t - 1)**2/11
Suppose -278*g + 275*g + 4*b + 60 = 0, g = 2*b + 28. Factor 2*z**2 + 0 + 5/4*z**3 + 1/4*z**g + z.
z*(z + 1)*(z + 2)**2/4
Let 0*z - 1/6*z**4 + 2*z**2 + 0 + 2/3*z**3 = 0. What is z?
-2, 0, 6
Let x(c) be the third derivative of -1/12*c**5 + 0*c**3 - 2*c**2 - 170*c + 55/24*c**4 + 0. Factor x(n).
-5*n*(n - 11)
Let j(g) = g**2 + 36*g + 2. Let z(c) = 3*c**2 + 144*c + 9. Suppose -34 + 7 = 3*a. Let m(q) = a*j(q) + 2*z(q). Factor m(f).
-3*f*(f + 12)
Let t(v) be the second derivative of 18*v + 0*v**2 - 1/10*v**5 + 0 + 0*v**4 - 1/315*v**7 - 8/225*v**6 + 0*v**3. Solve t(i) = 0 for i.
-5, -3, 0
Factor -80/7*z + 323/7*z**3 + 239/7*z**2 + 0 + 4/7*z**4.
z*(z + 1)*(z + 80)*(4*z - 1)/7
Let v(r) be the third derivative of -r**5/12 - 5*r**4/8 - 7066*r**2. Find l, given that v(l) = 0.
-3, 0
Let z(r) = 11*r**2 - 10*r + 8. Let h(l) = -4*l**2 + 3*l - 2. Let s = 141 + -133. Let p(o) = s*h(o) + 3*z(o). Factor p(k).
(k - 4)*(k - 2)
Suppose 0 = 98*t - 412 + 20. Let a(l) be the second derivative of -1/51*l**t + 2/17*l**2 + 0 - 1/51*l**3 + 1/170*l**5 - 15*l. Factor a(x).
2*(x - 2)*(x - 1)*(x + 1)/17
Suppose -4*r = 4*g - 728, -5*g = 308*r - 305*r - 916. Let f be (-68)/(-30) - (-74)/g. Suppose -4/3*a**3 - f*a - 26/9*a**2 - 2/9*a**4 - 8/9 = 0. Calculate a.
-2, -1
Let j(q) be the first derivative of 239 - 3/5*q**5 + 6*q**2 - 3*q**3 - 3*q**4 + 12*q. Factor j(d).
-3*(d - 1)*(d + 1)*(d + 2)**2
Suppose -26/11*w**2 - 18/11*w**3 + 2/11*w**5 + 24/11 + 2/11*w**4 + 16/11*w = 0. Calculate w.
-2, -1, 1, 3
Determine v so that 2*v**3 - 288*v**2 + 8220589314 + 298222808 + 15765846*v + 1647*v**2 + 8367*v**2 = 0.
-1621
Let p(b) = 7*b**3 + 45*b**2 - 50*b - 54. Let j be p(-7). Factor 1/9*x**2 - 20/3*x + j.
(x - 30)**2/9
Let x(i) = -17822*i - 35644. Let w be x(-2). Solve -3/4*m**5 + 0*m + w + 3/4*m**3 - 3/4*m**2 + 3/4*m**4 = 0 for m.
-1, 0, 1
Let i(m) be the second derivative of -5*m**4/12 - 2585*m**3/3 - 1336445*m**2/2 - 3961*m. Factor i(t).
-5*(t + 517)**2
Let d(g) = g**2 - 2*g + 2. Let l(c) = -4*c**2 - 4844*c - 2937892. Let i(q) = -2*d(q) - l(q). Suppose i(r) = 0. Calculate r.
-1212
Let n(g) be the second derivative of -5/12*g**4 + 0*g**2 - 3/8*g**5 + 112*g + 0 - 1/12*g**6 + 0*g**3. Suppose n(d) = 0. What is d?
-2, -1, 0
Let 3*g + g - 6*g**3 + 8*g + 28*g**4 + 976*g**2 - 981*g**2 - 29*g**4 = 0. Calculate g.
-4, -3, 0, 1
Let y(v) be the second derivative of 0*v**3 - 45*v + 0 - 1/44*v**5 + 0*v**2 + 0*v**4 - 1/462*v**7 - 1/55*v**6. Suppose y(w) = 0. Calculate w.
-5, -1, 0
Let b(l) be the second derivative of l**4/12 - 25*l**2/2 + 162*l - 3. Find j such that b(j) = 0.
-5, 5
Let u be (-210)/20*180/(-210) + (-465)/27*-1. Find t such that 2/9*t**5 - 638/9*t + 484/9 + u*t**3 + 44/9*t**4 - 128/9*t**2 = 0.
-11, -2, 1
Suppose -3*x - 5*t = 33, 20*x - 2*t + 11 = 19*x. Let l be (x/3 + 1)*(-6 - -4). Solve l*o + 7/3*o**2 + 4/3 = 0 for o.
-2, -2/7
Let i be (-2*17/(-12))/(21/126). Factor -34 - 43*c**2 + i - 26*c**2 + 93*c**2 - 31 + 4*c**3 + 20*c.
4*(c - 1)*(c + 3)*(c + 4)
Suppose -3*u + 14 = -4*z - 5*u, 5*u = 5*z - 20. Let h be ((-2 - -5)*14/(-14))/z. Factor 0*q**2 - 9/4*q + 3/4*q**h - 3/2.
3*(q - 2)*(q + 1)**2/4
Let k(o) be the first derivative of -1/16*o**4 + 1/4*o - 1/12*o**3 - 59 + 1/8*o**2. Factor k(u).
-(u - 1)*(u + 1)**2/4
Let f be ((-846)/10)/((-1767)/310). Let j = -1898/133 + f. Factor -6/7*m + 2/7*m**3 + 0*m**2 - j.
2*(m - 2)*(m + 1)**2/7
Let i(l) = -9*l**3 - 2*l**2. Let m(r) = -r**4 - 438*r**3 - 40004*r**2 + 81608*r. Let s(n) = -20*i(n) + 5*m(n). Factor s(b).
-5*b*(b - 2)*(b + 202)**2
Suppose 0*k - 3/7*k**4 - 243/7 + 246/7*k**2 + 0*k**3 = 0. Calculate k.
-9, -1, 1, 9
Let j(a) be the first derivative of a**4/14 - 24*a**3/7 + 251*a**2/7 - 432*a/7 + 3265. Determine v so that j(v) = 0.
1, 8, 27
Solve 1/3*d**4 - 81*d**3 - 1928/3 + 324*d + 478/3*d**2 = 0 for d.
-2, 2, 241
Let y(w) be the first derivative of 79 + 36/7*w**4 - 24/7*w**2 + 12/5*w**5 + 0*w + 5/14*w**6 + 16/7*w**3. Factor y(a).
3*a*(a + 2)**3*(5*a - 2)/7
Let u be (-219)/(-292) + 14/48*-2. Let z(w) be the second derivative of 6*w + 0 - u*w**3 + 0*w**2 - 1/40*w**5 - 1/8*w**4. Let z(s) = 0. Calculate s.
-2, -1, 0
Let h(x) be the first derivative of 258 - 3/5*x**5 + 12*x**2 + 0*x - 17*x**3 + 15/2*x**4. Suppose h(z) = 0. Calculate z.
0, 1, 8
Let u(k) be the third derivative of -k**8/60480 - k**7/1890 - 7*k**6/2160 - 53*k**5/30 - 2*k**2 - 10. Let s(g) be the third derivative of u(g). Factor s(w).
-(w + 1)*(w + 7)/3
Suppose 21*b = 5 + 58. Suppose -19495*q**4 + 33*q**2 + 2*q**3 + 18*q + 19486*q**4 - b*q**5 + 7*q**3 = 0. Calculate q.
-3, -1, 0, 2
Solve -65/6*h**4 - 11/2 - 191/3*h**2 + 44*h**3 + 2/3*h**5 + 106/3*h = 0.
1/4, 1, 3, 11
Let 496/3*n**3 + 0 + 0*n - 168*n**2 - 2/3*n**5 - 118/3*n**4 = 0. Calculate n.
-63, 0, 2
Let i(l) be the first derivative of -l**4/126 - 4*l**3/21 + 13*l**2/21 - 193*l + 206. Let b(o