*5 + 0*b + 0*b**4 - 1/2*b**3. Factor y(k).
3*(k - 1)*(k + 1)
Suppose 0 = 4*p - 0*j - 5*j + 2, -3*j = -3*p. Suppose -3*w**2 - 10*w**2 + 5*w**3 + 2*w**2 - w**4 + 3*w**p + 4*w = 0. Calculate w.
0, 1, 2
Factor 24*r**2 - 3 + 2*r**3 - 8 + 16 + 11 - 6*r**3 - 36*r.
-4*(r - 4)*(r - 1)**2
Let l(x) = -x**2 + 9*x + 7. Let f be l(10). Let u(c) = -c - 3. Let h be u(f). Factor 3/2*o + 1/2*o**2 + h.
o*(o + 3)/2
Let d(y) be the second derivative of -y**4/8 - 3*y**3/2 - 27*y**2/4 - 24*y. Factor d(q).
-3*(q + 3)**2/2
Determine d, given that -32/9 - 2/9*d**3 - 16/3*d - 2*d**2 = 0.
-4, -1
Let m(b) be the third derivative of b**6/24 - b**5/3 - 5*b**4/2 - 2*b**2 - 7. Factor m(v).
5*v*(v - 6)*(v + 2)
Let l(s) be the third derivative of s**6/80 + s**5/10 - 3*s**4/16 - 9*s**3/2 - s**2 - 22*s. Suppose l(v) = 0. What is v?
-3, 2
Suppose -1034*c + 1043*c = 0. Solve 0 + 2/7*l**3 + 4/7*l**2 - 2/7*l**4 + c*l = 0 for l.
-1, 0, 2
Find d, given that -1/5*d**2 + 0 - 16/5*d = 0.
-16, 0
Let j(n) = n**4 + 128*n**3 - 645*n**2 - 491*n + 7. Let p(t) = -t**4 - 64*t**3 + 323*t**2 + 246*t - 4. Let o(q) = -4*j(q) - 7*p(q). Factor o(f).
f*(f - 11)**2*(3*f + 2)
Let l(g) be the first derivative of -8*g**3/3 + 8*g + 2. Let m(o) = o**2 - 1. Let u(j) = l(j) + 5*m(j). Factor u(i).
-3*(i - 1)*(i + 1)
Let b be 2*(-1 - -210) + -2. Let f be (-1)/((-33)/6) + b/616. What is l in 3/7*l**2 - f - 3/7*l = 0?
-1, 2
Factor -2/3*z + 0 + 35/2*z**3 - 16/3*z**2.
z*(5*z - 2)*(21*z + 2)/6
Let j(h) be the second derivative of -2*h**6/15 - 2*h**5 + h**4 + 64*h**3/3 + 40*h**2 + 495*h. Let j(w) = 0. What is w?
-10, -1, 2
Factor 4/3*d**2 - 2*d + 8/9 - 2/9*d**3.
-2*(d - 4)*(d - 1)**2/9
Let j be (-195)/5*(0 - -4 - 2). Let n be -1 - ((-26)/j)/(1/(-37)). Let -n*y**2 - 10/3*y**5 + 8/3*y + 26/3*y**4 + 8/3 + 2/3*y**3 = 0. Calculate y.
-1, -2/5, 1, 2
Let c be 3 - (-5 - -4 - -2). Suppose p + p + c = -2*q, -2*q + 3*p = -13. Determine n so that 20*n + 17*n**2 - 5*n**2 - 8 + 0*n**q = 0.
-2, 1/3
Let c = -15 - -18. Determine q so that -3 - q**5 + 13*q**3 - 22*q**2 - 7*q**4 - 6*q - 6*q - q - 31*q**c = 0.
-3, -1
Let c = 26 + -20. Factor 16*f - 2*f**2 - f**2 + 9 + c*f**2 - 4*f.
3*(f + 1)*(f + 3)
Let -15 - 21 + 7*r**3 + 26*r - 50*r - 4*r**3 + 3*r**2 = 0. Calculate r.
-2, 3
Suppose -5*r + 3 = 13. Let l be ((-1)/3)/(r/18). Solve 12*w**3 + 8*w**l - 48*w**4 - 8*w**3 + 6 + 42*w**2 + 21*w**5 - 33*w = 0 for w.
-1, 2/7, 1
Suppose 9 = -3*z + z + 3*u, u = 2*z - 1. Let t(g) be the third derivative of 3*g**2 + 0 + 0*g - 1/210*g**5 - 1/14*g**4 - 3/7*g**z. Factor t(s).
-2*(s + 3)**2/7
Let j(v) be the third derivative of -1/300*v**5 + 0*v**4 + 0 + 45*v**2 + 1/840*v**8 + 0*v**3 - 1/300*v**6 + 1/1050*v**7 + 0*v. What is p in j(p) = 0?
-1, -1/2, 0, 1
Suppose p + 350 = -3*g, 4*p - 465 = 3*g - 125. Let s = 118 + g. Factor 0 - 8/3*r**2 - s*r - 2/3*r**3.
-2*r*(r + 1)*(r + 3)/3
Let q(u) = u**3 + 12*u**2 - 12*u - 5. Let m be q(-13). Let t be 7/((-21)/m) + 20/(-5). Determine b so that -2*b + 2*b**3 - 4/3 + 2/3*b**4 + 2/3*b**t = 0.
-2, -1, 1
Determine u, given that 0 - 3/7*u + 4/7*u**2 + 1/7*u**5 + 2/7*u**3 - 4/7*u**4 = 0.
-1, 0, 1, 3
Let l(o) be the second derivative of 16*o**5/5 - 92*o**4/3 + 529*o**3/6 + 371*o. Let l(q) = 0. Calculate q.
0, 23/8
Let o = -126 + 128. Factor -z**2 + 5*z**o + 35 - 63 + 24*z.
4*(z - 1)*(z + 7)
Let a be 4 - (0/(-1))/(-2). Let b = 26617/212552 + -6/26569. Find m, given that 1/4*m - b*m**3 - 1/8*m**5 + 3/8*m**a + 0 - 3/8*m**2 = 0.
-1, 0, 1, 2
Let x be 849/57 - (-12)/114. Suppose 6 = x*f + 6. Factor 8/7*i**2 + 0 + f*i - 4/7*i**3.
-4*i**2*(i - 2)/7
Let f be (-989)/(-92)*(-1)/(1/(-4)). Factor 0*k**2 - k**2 - f - 3*k**2 + 28*k + 19.
-4*(k - 6)*(k - 1)
Let x(q) be the third derivative of q**8/784 + 11*q**7/490 + 19*q**6/280 + 9*q**5/140 - q**2 - 2*q. Factor x(c).
3*c**2*(c + 1)**2*(c + 9)/7
Let j(l) be the first derivative of -4*l + 0*l**2 + 4/3*l**3 + 20. Factor j(v).
4*(v - 1)*(v + 1)
Suppose -7*a + 20 = -2*a. Factor 15*x**3 + a*x**5 + 16*x**4 + 23*x**2 - 15*x**2 + 5*x**3.
4*x**2*(x + 1)**2*(x + 2)
Let j be (28/245)/((-20)/(-70)). Let a(p) be the first derivative of p**2 + 0*p - 2 - j*p**5 - 2*p**3 + 3/2*p**4. Let a(t) = 0. Calculate t.
0, 1
Let o(i) = -2*i**2 + 11*i + 6. Let a be (-3 - (-1 + 2))*(-6)/4. Let p be o(a). Determine t, given that p + 0*t - 2/7*t**3 - 2/7*t**2 = 0.
-1, 0
Let r = -191 + 448. Let l = -1025/4 + r. Suppose l*y**4 + 3/4*y**3 + 0*y + 0 - 3/2*y**2 = 0. Calculate y.
-2, 0, 1
Let j = 9667/14487 + -3/4829. Find s such that -4/3 - 2*s - j*s**2 = 0.
-2, -1
Let j(r) = -3*r + 15. Let a be j(7). Let i(y) = 5*y**2 + 8*y - 13. Let u(g) = 76 - g + 3*g - 79 + g**2. Let p(v) = a*i(v) + 26*u(v). Factor p(d).
-4*d*(d - 1)
Let g(m) be the second derivative of m**6/900 + m**5/75 + m**4/20 + 5*m**3/3 - 8*m. Let s(p) be the second derivative of g(p). Factor s(a).
2*(a + 1)*(a + 3)/5
Determine a so that -12/5*a**3 + 16/5*a + 0 - 56/5*a**2 + 46/5*a**4 - 14/5*a**5 = 0.
-1, 0, 2/7, 2
Factor -26*s**3 - 43*s + 108*s - 32*s**3 + 25*s**2 + 35 + 53*s**3.
-5*(s - 7)*(s + 1)**2
Let 33/4*k - 7/2 + 5/4*k**2 = 0. What is k?
-7, 2/5
Let g = -774 + 777. Let l(f) be the first derivative of 4 - 3*f**2 - 2/3*f**g - 4*f. Factor l(b).
-2*(b + 1)*(b + 2)
Let g(h) be the third derivative of -h**5/15 - h**4/3 + 2*h**3 - 11*h**2. Let t(u) = u**3 - u**2 + u - 1. Let m(q) = g(q) + 4*t(q). Factor m(f).
4*(f - 2)*(f - 1)*(f + 1)
Let h(a) = a**3 + a - 1. Let g(k) = 4*k**3 - 10*k + 9. Let j(b) = 2*g(b) - 6*h(b). Find d, given that j(d) = 0.
-4, 1, 3
Let v(f) be the first derivative of -f**4/5 - 2*f**3/5 - f**2/5 + 68. Factor v(q).
-2*q*(q + 1)*(2*q + 1)/5
Let v(q) be the second derivative of q**6/30 - q**5/2 + 3*q**4 - 28*q**3/3 + 16*q**2 - 103*q. Let v(u) = 0. What is u?
2, 4
Let l be (-120)/(-12) + -12 + 2. Let j(v) be the second derivative of 0 + l*v**3 - 5*v + 9/20*v**5 + 1/10*v**6 + 0*v**2 + 1/2*v**4. Factor j(d).
3*d**2*(d + 1)*(d + 2)
Let d(a) be the second derivative of -9*a**5/10 - 11*a**4/4 + 10*a**3 - 9*a**2/2 + 31*a. Factor d(w).
-3*(w - 1)*(w + 3)*(6*w - 1)
Suppose 2*f - 7 - 31 = -3*c, 0 = -3*f + 3. Determine d, given that 5*d**2 - 9 + 2*d**2 + 12*d - c*d**2 + 2*d**2 = 0.
1, 3
Let c(r) = -r**3 - 11*r**2 + 34*r + 26. Let k be c(-13). Let i = 83 + k. Let -2/3*p**i + 8/3 + 5*p**4 - 43/3*p**3 + 58/3*p**2 - 12*p = 0. Calculate p.
1/2, 1, 2
Let c(s) be the first derivative of s**4/24 - s**3/4 + s**2/2 - 6*s + 3. Let w(g) be the first derivative of c(g). Factor w(a).
(a - 2)*(a - 1)/2
Factor 0*k**3 + 12 + 34*k + 10 + 16*k**2 + 2*k**3 - 2.
2*(k + 1)*(k + 2)*(k + 5)
Factor 1612*j + 2*j**2 - 7655 - 1236*j + 12232 + 13095.
2*(j + 94)**2
Factor 112*q**3 - 60 - 84 + q**5 - 4*q**3 + 96*q**2 - 85*q - 11*q + 33*q**4 + 2*q**5.
3*(q - 1)*(q + 2)**3*(q + 6)
Let p be (-2)/(-5) - (-731)/860. Let p*w**2 + 1/4*w**4 + 1/2*w + w**3 + 0 = 0. What is w?
-2, -1, 0
Determine u, given that 3/4*u**3 + 2*u**4 + 0 - 7*u - 8*u**2 + 1/4*u**5 = 0.
-7, -2, -1, 0, 2
Let m = 25112/45 + -558. Let t(q) be the first derivative of 0*q + 0*q**2 + 0*q**4 + 2/27*q**3 - m*q**5 - 8. Factor t(b).
-2*b**2*(b - 1)*(b + 1)/9
Factor 0 + 12/19*c**2 - 26/19*c**3 - 10/19*c**4 + 0*c.
-2*c**2*(c + 3)*(5*c - 2)/19
Suppose 0*y + 3 = -3*y + 3*v, 1 = -4*y + 3*v. Let a(r) be the second derivative of -2*r - 1/4*r**3 + 0 - 1/12*r**4 + 1/2*r**y. Factor a(d).
-(d + 2)*(2*d - 1)/2
Factor 32*d - 3*d**4 - 1004 + 12*d**2 + 1020 - 8*d**3 - d**4.
-4*(d - 2)*(d + 1)**2*(d + 2)
Let l(n) be the second derivative of -n**7/1575 + n**6/180 - 7*n**5/450 + n**4/60 - 8*n**2 - 10*n. Let t(i) be the first derivative of l(i). Factor t(p).
-2*p*(p - 3)*(p - 1)**2/15
Let b = 180 + -177. Let o(z) be the third derivative of 0*z**3 + 0*z - 1/40*z**6 - b*z**2 - 1/5*z**5 + 0 - 1/2*z**4. Factor o(x).
-3*x*(x + 2)**2
Let u be ((-15)/5)/3 + (-2557)/394. Let n = 2/197 - u. Factor 1 - 7/2*h**4 - n*h**2 + 19/2*h**3 + 1/2*h.
-(h - 1)**3*(7*h + 2)/2
Let g(n) = 5*n**3 - 11*n**2 + 16*n - 25. Let w be g(2). Solve -12/7*t**w - 3/7*t**5 + 0*t**2 + 0 + 12/7*t**4 + 0*t = 0.
0, 2
Suppose 5*o = 0, 5*t - 50*o = -52*o. Factor 8/7*g**2 + t + 0*g**4 - 4/7*g**5 + 12/7*g**3 + 0*g.
-4*g**2*(g - 2)*(g + 1)**2/7
Suppose 640*u**4 + 250 - 200*u**4 + 45*u**5 + 830*u**3 + 150*u**3 - 690*u**2 - 1025*u = 0. What is u?
-5, -1, 2/9, 1
Let p(q) be the third derivative o