*4 + 48*w**3 - 2*w**5 - 3*w**5 = 0 for w.
-1, 0
Let z(v) = 219493 - v**4 - 219493 + v**3 + v + v**2. Let l(u) = 6*u**4 - 6*u**3 - 14*u**2 + 18*u - 8. Let w(a) = -l(a) - 2*z(a). Factor w(d).
-4*(d - 1)**3*(d + 2)
Let j be ((-12)/(-28))/((-2478)/(-2891)). What is h in -j*h**2 - 13*h - 169/2 = 0?
-13
Let u(w) = 2847*w**2 + 2842*w - 3. Let l be u(-1). Let y be (-4)/(-3)*(-9)/(-15). Factor -2*t**l - 14/5*t - y.
-2*(t + 1)*(5*t + 2)/5
Let g(h) be the second derivative of -h**5/40 - 31*h**4/24 + 8*h**3/3 - 83*h + 15. Factor g(j).
-j*(j - 1)*(j + 32)/2
Determine q, given that -15*q**4 + 20*q + 200 + 81*q**2 - 185*q**3 - 313*q**2 - 118*q**2 = 0.
-10, -2, -1, 2/3
Let u(k) be the second derivative of k**4/42 + 151*k**3/21 + 150*k**2/7 - 2*k - 771. Find p, given that u(p) = 0.
-150, -1
Let u(r) be the first derivative of 0*r + 2/3*r**3 + 0*r**2 + 31 - 1/15*r**5 - 1/12*r**4. Factor u(v).
-v**2*(v - 2)*(v + 3)/3
Let p(n) = -3*n**3 - 85*n**2 - 391*n - 94. Let b(r) = -2*r**3 - 86*r**2 - 350*r - 94. Let h(y) = 5*b(y) - 4*p(y). Find z such that h(z) = 0.
-1, 47
Let t(q) be the first derivative of 5/24*q**4 + 0*q**3 - 1/24*q**6 + 0*q**5 + 19*q**2 + 6 + 0*q. Let l(j) be the second derivative of t(j). Factor l(h).
-5*h*(h - 1)*(h + 1)
Let c = -991 + 1677. Suppose 2*p**3 + 311 - c - 36*p + p**3 + 327 = 0. Calculate p.
-2, 4
Let z(p) be the first derivative of p**5/10 - 35*p**4/8 + 48*p**3 + 81*p**2 - 1351. Determine m so that z(m) = 0.
-1, 0, 18
Let z(d) be the third derivative of -d**5/24 + 71*d**4/48 + 57*d**3/2 + 11269*d**2. Factor z(u).
-(u - 18)*(5*u + 19)/2
Let p(j) = 110*j**4 + 16*j**3 + 28*j**2 + 54*j + 17. Let w(l) = 39*l**4 + 6*l**3 + 9*l**2 + 18*l + 6. Let r(m) = -6*p(m) + 17*w(m). Factor r(k).
3*k*(k - 2)*(k + 1)*(k + 3)
Suppose -3*q = -5*f + 5698, 2*f = 8*q - 6*q + 2276. Let h(i) = 286*i - 2. Let p be h(4). Factor -12*y**2 + 21*y**4 - 60*y**3 + 294*y**5 - p*y + f*y.
3*y**2*(2*y - 1)*(7*y + 2)**2
Let q(w) = w**2 - w. Let y(d) = 4*d**2 + 2*d + 10. Suppose 2*u = 3 - 5. Let g(i) = i**2 - 9*i + 20. Let s be g(7). Let m(t) = s*q(t) + u*y(t). Factor m(j).
2*(j - 5)*(j + 1)
Let 332/7*y**2 + 1296/7 + 1304/7*y + 2/7*y**3 = 0. What is y?
-162, -2
Suppose -13*u + 88 = 4*l - 9*u, 0 = -5*l + 2*u + 82. Let a be -7 + (-2 - (-192)/l - 1). Find v such that -26/3*v - a*v**3 - 16/3*v**2 - 4 = 0.
-6, -1
Suppose p + 27 = -5*y, -4 - 13 = -4*p + 5*y. Let z(r) = -4*r - r + 8*r - 1 - 4*r. Let s(i) = 2*i**2 - 12*i - 2. Let a(d) = p*z(d) + s(d). What is k in a(k) = 0?
0, 5
Let r(z) be the first derivative of -z**4/8 - z**3/2 + 25*z**2/4 - 21*z/2 - 565. Factor r(a).
-(a - 3)*(a - 1)*(a + 7)/2
Let m = 1410749 - 1410745. Find f such that 0 + 16/3*f**3 + 2*f**m + 40/9*f**2 + 2/9*f**5 + 0*f = 0.
-5, -2, 0
Suppose 2630*p - 4488 = 1134*p. Factor 0*a + 0 - 28/9*a**4 - 32/9*a**2 - 40/3*a**p.
-4*a**2*(a + 4)*(7*a + 2)/9
Factor -550/7 + 61/7*s - 1/7*s**2.
-(s - 50)*(s - 11)/7
Let o be (10/(-4) + 6)/((-92)/368) - -14. Factor 0 - 468/5*x**3 - 6591/5*x**5 - 3042/5*x**4 + o*x - 24/5*x**2.
-3*x**2*(13*x + 2)**3/5
Suppose 1112 = 408*q - 928. Factor -18*b**3 - 3/2*b**q + 9*b**4 + 12*b**2 + 0 + 0*b.
-3*b**2*(b - 2)**3/2
Let u(w) be the first derivative of -w**6/2 - 27*w**5/5 + 147*w**4/4 - 43*w**3 - 72*w**2 + 156*w + 1834. Let u(d) = 0. Calculate d.
-13, -1, 1, 2
Factor -1920 + 22/5*w**3 + 856/5*w**2 + 1568*w.
2*(w + 20)**2*(11*w - 12)/5
Let v = 2119/3465 + -8/693. Let c(d) be the first derivative of 0*d**4 - v*d**5 + 0*d**2 + 4/3*d**3 - 22 - 1/6*d**6 + 0*d. Factor c(u).
-u**2*(u - 1)*(u + 2)**2
Let o(a) = 31*a + 0 - 17*a - 15*a + 9. Let p be o(7). Factor 34*u**2 - 23*u**2 + 30*u**3 - 25*u**4 + 25*u**p + u + 7*u.
-u*(u - 2)*(5*u + 2)**2
Let f(m) be the third derivative of m**6/720 + 7*m**5/360 - 5*m**4/18 - 25*m**3/9 - 2882*m**2 - 2. Let f(b) = 0. What is b?
-10, -2, 5
Let y = 77 - 73. Find u such that 3*u**y + 4*u**4 - 6*u**4 + 10*u**2 - 15*u**3 + 4*u**4 = 0.
0, 1, 2
Factor 0 + 274/5*t**2 - 804/5*t - 2/5*t**3.
-2*t*(t - 134)*(t - 3)/5
Let g be (-2)/(-7) + (-159)/(-7) + 3. Let h = g + -12. Determine w so that -w**2 + h - 19 + w + 7 = 0.
-1, 2
Let x(a) be the first derivative of -31 + 0*a + 2/9*a**3 - 11*a**2. What is t in x(t) = 0?
0, 33
Let t(z) be the first derivative of 11*z - 1/54*z**3 - 1/108*z**4 + 0*z**2 - 9 + 1/270*z**6 + 1/180*z**5. Let m(h) be the first derivative of t(h). Factor m(c).
c*(c - 1)*(c + 1)**2/9
Suppose 80*k - 480 = 48*k. Let c(f) be the first derivative of 0*f**2 + 0*f**3 + 0*f - 1/20*f**4 + k. Factor c(a).
-a**3/5
Let q(i) be the third derivative of -i**5/24 + 115*i**4/3 + 9325*i**3/12 - 6*i**2 - i + 29. Find d such that q(d) = 0.
-5, 373
Let h be 2/((-24)/(-5)) - (-11 - (-67)/6). Let o = 46 + -183/4. Factor 0 - 1/4*v + o*v**3 - h*v**2 + 1/4*v**4.
v*(v - 1)*(v + 1)**2/4
Let d(h) be the first derivative of -h**4/4 - 10*h**3 - 83*h**2/2 - 54*h - 971. Find k such that d(k) = 0.
-27, -2, -1
Let d(s) = 20*s - 4*s**2 - 10 - 5*s + 27 - 12. Let t(q) = -q**2 + q + 1. Let k(b) = -4*d(b) + 20*t(b). Find x, given that k(x) = 0.
-10, 0
Suppose 0 = 2*j - n + 8, 259 - 236 = 17*j - 2*n. Let -8 + 2*f**4 + 1/5*f**5 + 31/5*f**j - 28/5*f + 26/5*f**2 = 0. What is f?
-5, -2, 1
Let w(x) be the third derivative of x**8/16800 + x**7/2100 + x**6/900 - x**4/12 - 9*x**3/2 - 47*x**2. Let l(y) be the second derivative of w(y). Factor l(j).
2*j*(j + 1)*(j + 2)/5
Let w be 7/(350/295)*15/(-6). Let y = -263/20 - w. Let y*z**2 + 4/5*z - 21/5*z**3 + 0 + 7/5*z**5 + 2/5*z**4 = 0. Calculate z.
-2, -2/7, 0, 1
Let -42*o**2 + 312*o + 126*o**2 - 49*o**2 - 39*o**2 - 48*o = 0. What is o?
0, 66
Let k = 1043056/195 + -5349. Let u(f) be the second derivative of 0*f**3 + 0*f**2 - k*f**6 + 0 - 1/273*f**7 - 20*f + 1/130*f**5 + 1/78*f**4. Factor u(g).
-2*g**2*(g - 1)*(g + 1)**2/13
Let y = 35/467 - -629342/21015. Let x = y - 149/5. Factor 4/9 + x*n - 4/9*n**2 - 2/9*n**3.
-2*(n - 1)*(n + 1)*(n + 2)/9
Let y(i) be the second derivative of 23*i**6/90 + i**5/15 + 15*i**3/2 - i**2/2 + 15*i. Let q(r) be the second derivative of y(r). Factor q(n).
4*n*(23*n + 2)
Let q be -5 + (-16)/8 + 9. Suppose -7428*c**3 + 0*c + 0*c + 7436*c**3 + 6*c**q + 2*c**4 = 0. Calculate c.
-3, -1, 0
Let l(b) = 2*b**2 - 72*b - 80. Let m(g) = 560 + 55*g**2 + 53*g**2 + 505*g - 123*g**2. Let q(t) = 20*l(t) + 3*m(t). Suppose q(c) = 0. Calculate c.
-1, 16
Let y(p) be the first derivative of 26*p**2 - 58 + 8/3*p**3 - p**4 + 40*p. Factor y(d).
-4*(d - 5)*(d + 1)*(d + 2)
Solve -56/3 - 2/9*z**3 + 26/9*z**2 + 40/9*z = 0.
-3, 2, 14
Let q(x) be the third derivative of 0*x + 94*x**2 - 1/140*x**5 + 1/70*x**6 + 1/14*x**3 + 0 - 1/14*x**4. Factor q(b).
3*(b - 1)*(b + 1)*(4*b - 1)/7
Let p(y) be the first derivative of y**5/70 - 4*y**4/7 - 17*y**3/7 - 9*y**2/2 + 41. Let s(n) be the second derivative of p(n). Factor s(c).
6*(c - 17)*(c + 1)/7
Let v(x) = 4*x**3 - x**2 + x - 7. Let j be v(6). Factor -192*h - 11239 + 11243 + 1477*h**2 + j*h**2.
4*(24*h - 1)**2
Let v(y) be the second derivative of 1/45*y**6 + 13/3*y**3 + 6*y**2 + 29/18*y**4 + 3/10*y**5 - y + 0. Factor v(u).
2*(u + 1)*(u + 2)*(u + 3)**2/3
Determine r, given that 0 - 5/2*r + 20/3*r**2 + 5/2*r**3 = 0.
-3, 0, 1/3
Let q(p) be the third derivative of -p**6/480 + 13*p**5/240 + 541*p**4/96 + 527*p**3/24 + 1616*p**2. Factor q(o).
-(o - 31)*(o + 1)*(o + 17)/4
Let q(n) = -n + 1. Let p(s) = s**2 - 18*s + 42. Let v(t) = -t**2 + 6*t - 5. Let m be v(6). Suppose -114*i = 40 - 3460. Let a(g) = i*q(g) + m*p(g). Factor a(f).
-5*(f - 6)**2
Let z be (-4 - 4) + (28 + -15 - 4) + 1. Solve 0*f + 8/5*f**z + 0 + 2/5*f**4 + 8/5*f**3 = 0.
-2, 0
Solve -135*s - 53*s**2 + 95*s**2 - 45*s**2 = 0.
-45, 0
Let l(j) = j**2 - 16*j - 2. Let b(x) = x**3 - 9*x**2 + 14*x - 6. Let q be b(7). Let z(h) = 12*h + 2. Let d(i) = q*z(i) - 4*l(i). Factor d(o).
-4*(o + 1)**2
Let j(i) be the first derivative of 12/85*i**5 + 4/17*i**2 + 1/51*i**6 - 72 + 8/17*i**3 + 0*i + 13/34*i**4. Find u, given that j(u) = 0.
-2, -1, 0
Let y(i) be the third derivative of i**6/24 + 5*i**5/2 + 55*i**4 + 1600*i**3/3 - 2*i**2 + 11123. Factor y(j).
5*(j + 4)*(j + 10)*(j + 16)
Let k(p) be the first derivative of -p**5/80 + p**4/6 - 7*p**3/24 - 30*p - 20. Let j(u) be the first derivative of k(u). Factor j(d).
-d*(d - 7)*(d - 1)/4
Let s(z) be the third derivative of z**7/70 + 29*z**6/40