 + 1 - 5 + 2*n + 4*n. Let v(g) be the third derivative of -g**4/4 + g**3/2 - 43*g**2 - g. Let z(x) = -3*k(x) - 4*v(x). Factor z(j).
3*j*(j + 2)
Let t(u) be the third derivative of 1/6*u**4 + 0*u - 2 + 26*u**2 + 1/21*u**8 - 2/15*u**5 - 1/10*u**6 + 8/105*u**7 + 0*u**3. Factor t(k).
4*k*(k + 1)**2*(2*k - 1)**2
Let s be -2 - 951/(5/(-10) - -5). Let t = s - -214. What is q in t*q**2 - 4/3*q - 2 = 0?
-1, 3
Let 1046*d - 23203*d**2 + 3 + 23554*d**2 + 13*d + 15 = 0. What is d?
-3, -2/117
Suppose -5*q - 5*u + 50 = 0, -4*q + 0*u + 35 = 3*u. Suppose 0 = -b + q - 3. Let g(r) = 15*r**2 - 3*r + 2. Let v(k) = -1. Let d(z) = b*v(z) + g(z). Factor d(c).
3*c*(5*c - 1)
Let g(s) be the first derivative of -62 - s**2 + 1/3*s**3 - 1/5*s**5 + 0*s + 1/2*s**4. Determine r, given that g(r) = 0.
-1, 0, 1, 2
Let -55750 - r**2 - 24*r + 111490 - 55688 = 0. What is r?
-26, 2
Suppose 0 = 58*z - 60*z - 2*n - 8, -z = -n - 4. Let k(l) be the second derivative of 0 + 2/5*l**3 + z*l**2 + 20*l + 1/20*l**4. Determine b, given that k(b) = 0.
-4, 0
Let w be (-3)/(-3)*(92 - 3). Factor -16*v**2 - 75*v - 9 + 28*v**2 - 17*v**2 + w.
-5*(v - 1)*(v + 16)
Let f be (205/123*12/(-15))/(-4). Factor 0 - 1/3*b - f*b**2.
-b*(b + 1)/3
Let d = 11184 - 1565759/140. Let u(w) be the third derivative of -1/4*w**4 - 1/16*w**6 + 1/5*w**5 + 0*w**3 + 0 - 16*w**2 + d*w**7 + 0*w. Solve u(b) = 0.
0, 1, 2
Let o(a) = -a + 18. Suppose 4*h + 72 - 32 = 0. Let b be o(h). Find r such that -83 + 29 - 20*r + 34 - b*r**2 + 28 = 0.
-1, 2/7
Let t(q) = -2*q**2 + 1 + q**3 + 2*q**2 - q**2. Let b(f) = 6*f**3 - 7*f**2 + 5. Suppose 18 + 77 = 19*x. Let n(o) = x*t(o) - b(o). Factor n(y).
-y**2*(y - 2)
Let c(l) = -l**2 + 23*l + 288. Suppose 0 = 4*n + 3*p + 39, 4*p = 2*n + 3*p + 17. Let x be c(n). Determine q so that x - q - 1/3*q**2 = 0.
-3, 0
Suppose 14*l - 19*l = 14160. Let d be l/(-826)*(-2)/(-4). Solve d*m**3 + 2/7*m**4 + 0 + 16/7*m + 24/7*m**2 = 0 for m.
-2, 0
Let r = 388 + -382. Factor 79*q - 11*q + 4*q**2 - r*q - 3*q**2 + q**2.
2*q*(q + 31)
Let x(g) be the first derivative of -2/3*g**4 + 164 + g + 1/5*g**5 + 4/3*g**2 - 2/3*g**3. What is d in x(d) = 0?
-1, -1/3, 1, 3
Suppose 19*g - 2 = 18*g, 2*v = 2*g + 2. Factor -2*r**2 - 5*r**2 + 3129*r - 3093*r + v*r**2 - 80.
-4*(r - 5)*(r - 4)
Let i(m) = -m**2 - 19*m + 122. Let q be i(-50). Let c = q + 1430. Find x, given that 20/9*x + 2/9*x**c + 50/9 = 0.
-5
Let v(g) = -157*g + 148. Let c be v(3). Let l = -323 - c. Find h, given that 0 + 2*h**4 + h**2 + l*h - 9/2*h**3 = 0.
0, 1/4, 2
Let u(v) be the second derivative of v**4/30 + 14*v**3/5 - 171*v**2 - 4*v - 485. Factor u(m).
2*(m - 15)*(m + 57)/5
Let c(u) = -12*u**2 + 330*u + 339. Let s(o) = -39*o**2 + 988*o + 1017. Let a(p) = 10*c(p) - 3*s(p). Solve a(y) = 0 for y.
-1, 113
Let f(w) = 39*w**3 - 897*w**2 - 6033*w + 15261. Let n(h) = -3*h**3 + 69*h**2 + 464*h - 1174. Let s(j) = -2*f(j) - 27*n(j). Solve s(x) = 0.
-7, 2, 28
Suppose 2*z - 2012*l = -2007*l + 29, 0 = 4*z + 5*l + 17. Let y(p) be the first derivative of -17 + 2/3*p**3 - 7*p**z + 20*p. Determine v so that y(v) = 0.
2, 5
Factor -109/2*p**2 + 78*p - 135/4 + 1/4*p**4 + 10*p**3.
(p - 3)*(p - 1)**2*(p + 45)/4
Determine z so that 11 - 132*z**3 - 1024*z - 5275*z**4 - 11 + 5279*z**4 + 1152*z**2 = 0.
0, 1, 16
Let u(f) = -40*f**2 + 11970*f + 24950. Let w(z) = -z**2 + 285*z + 594. Let m(b) = 2*u(b) - 85*w(b). Factor m(t).
5*(t - 59)*(t + 2)
Let v = 318 - 328. Let u(d) = d**3 + d**2. Let f(h) = h**4 - 2*h**2 - 31*h - 16*h**3 + 29*h**2 + 3*h. Let g(b) = v*u(b) - 2*f(b). Solve g(o) = 0.
0, 2, 7
Let f be 258*(5/3)/5. Let w = f - -59. Factor -6*c**4 - 4*c**4 - w*c**5 - 5*c + 150*c**5 + 10*c**2.
5*c*(c - 1)**3*(c + 1)
Let g(x) be the third derivative of -x**7/5880 - 29*x**6/1680 + 5*x**4/12 - x**3 - 4*x**2 + 12. Let q(r) be the second derivative of g(r). Factor q(n).
-3*n*(n + 29)/7
Let w(r) be the third derivative of r**8/33600 - r**7/2800 - r**6/300 - 59*r**5/60 - 15*r**2 - 5*r. Let n(j) be the third derivative of w(j). Factor n(t).
3*(t - 4)*(t + 1)/5
Factor -208 + 2/9*m**2 + 460/9*m.
2*(m - 4)*(m + 234)/9
Let n = 120115/18 - 6673. Let h(x) be the second derivative of 1/3*x**2 + n*x**4 - 11*x + 0 - 2/9*x**3. Factor h(w).
2*(w - 1)**2/3
Let p(i) be the third derivative of 0 + 22/9*i**4 + 28/3*i**3 + 0*i + 1/180*i**6 + 5/18*i**5 + 6*i**2. Determine w, given that p(w) = 0.
-21, -2
Factor 36*u**3 - 624 + 31*u - 1298*u**2 - 862*u**2 + 708*u**2 + 1857*u.
4*(u - 39)*(3*u - 2)**2
Let c(a) be the second derivative of 5*a**7/84 + 23*a**6/15 - 423*a**5/40 + 275*a**4/12 - 56*a**3/3 - 3941*a - 2. Let c(t) = 0. What is t?
-112/5, 0, 1, 2
Let i(s) be the third derivative of -74/3*s**4 - 107*s**2 + 21/4*s**8 + 1873/30*s**6 + 0*s - 1 + 32*s**7 + 16/3*s**3 + 478/15*s**5. Solve i(w) = 0 for w.
-2, -1, 2/21
Suppose 0 = -7*f + 17 + 11. Find b such that 3*b**2 + 21*b**5 + 15*b**4 - 12*b**3 - f*b + 4*b - 27*b**5 = 0.
0, 1/2, 1
Let g(p) = 17*p**3 - 1519*p**2 + 195072*p + 196615. Let r(b) = 22*b**3 - 2026*b**2 + 260096*b + 262153. Let l(c) = -9*g(c) + 7*r(c). Let l(u) = 0. What is u?
-1, 256
Let f(i) = -6*i**2 - 1. Let u(v) = -155*v**2 - 415*v - 835. Let j(x) = -25*f(x) + u(x). Solve j(c) = 0.
-81, -2
Factor 67*m**4 - 711*m**2 - 1038*m - 170*m**3 - 456 + 38*m**3 - 70*m**4.
-3*(m + 1)**2*(m + 4)*(m + 38)
Let k(g) be the first derivative of 150*g**2 + 5/3*g**3 - 80 + 4500*g. Suppose k(r) = 0. What is r?
-30
Factor 13 - 1/2*l**2 - 25/2*l.
-(l - 1)*(l + 26)/2
Let b(r) = r**2 - 29*r + 15. Let s be b(31). Factor -s*t + 3*t**3 - 5 + 23*t + 8*t**2 - 91 + 19*t**2 + 18*t**2.
3*(t - 2)*(t + 1)*(t + 16)
Suppose -2/5*v**5 + 144/5*v**2 + 0*v - 4*v**4 + 0 - 24/5*v**3 = 0. Calculate v.
-6, 0, 2
Suppose -2*j - 23 = 2*y + 71, 2*j + 96 = -y. Let g = 51 + j. Suppose 8*o + 12*o - 16*o + 4*o**g = 0. Calculate o.
-1, 0
Let j(i) = i**3 + 29*i**2 + 34*i + 32. Let y be j(-28). Let g = y + 141. Factor -5*d + d + 7*d**4 - d**4 - g*d**3 + 7*d**3 + 2*d**5 - 6*d**2.
2*d*(d - 1)*(d + 1)**2*(d + 2)
Let a(k) = 11 + 0 + 273*k**2 - 282*k**2 + 26*k + 28. Let u = 10 + -6. Let y(v) = 10*v**2 - 25*v - 40. Let o(s) = u*y(s) + 5*a(s). Solve o(h) = 0 for h.
-1, 7
Let v(a) be the second derivative of -a**9/560 + 33*a**8/2240 + a**7/15 + a**6/12 - 19*a**4/6 - 92*a. Let o(s) be the third derivative of v(s). Factor o(m).
-3*m*(m - 5)*(3*m + 2)**2
Suppose -5*n = -1146 - 289. Let r be 246/n + (-8)/14. Factor -r*b + 0 - 2/7*b**3 - 4/7*b**2.
-2*b*(b + 1)**2/7
Let j(w) be the second derivative of -w**8/20160 - w**7/840 - w**6/80 - 3*w**5/40 + 8*w**4/3 - 135*w. Let k(x) be the third derivative of j(x). Factor k(m).
-(m + 3)**3/3
Suppose -s + 3 = 2*v, -4*s + 4*v = -5 - 7. Suppose -7*d = -s*d - 8. Suppose -6*f + d*f**3 - 9*f - 8 + 8*f**2 + 13*f = 0. What is f?
-4, -1, 1
Let n(j) = 35*j**2 + 5146*j - 2612. Let l(b) = -6*b**2 - 1030*b + 522. Let v(d) = 22*l(d) + 4*n(d). Determine x, given that v(x) = 0.
1/2, 259
Factor 13/4*s**2 + 17/2*s - 12 + 1/4*s**3.
(s - 1)*(s + 6)*(s + 8)/4
Suppose a + 6 = 1, 2*j + 3*a = -5. Suppose 4*s - 42 - 73 = -5*b, 3*b - 37 = 4*s. Factor b*z**2 + 4 - 9*z**2 - j*z**3 - 4.
-5*z**2*(z - 2)
Factor -18*n**2 + 230*n - 13*n**2 + 37*n**2 - 8*n**2.
-2*n*(n - 115)
Let t(g) be the third derivative of g**5/360 - 517*g**4/72 + 267289*g**3/36 + 10*g**2 - 10. Let t(j) = 0. What is j?
517
Suppose 368*b = 362*b - 978. Let f = b + 819/5. Factor -16/5*g + 12/5*g**3 + 0 + 0*g**2 - f*g**4.
-4*g*(g - 2)**2*(g + 1)/5
Let w(s) be the second derivative of -s**6/120 + 11*s**5/80 - 5*s**4/24 - 1429*s. Suppose w(r) = 0. What is r?
0, 1, 10
Let x(a) be the second derivative of -a**7/630 + a**6/180 + a**5/60 + 153*a**2/2 - 128*a. Let z(d) be the first derivative of x(d). Factor z(l).
-l**2*(l - 3)*(l + 1)/3
Let o(w) be the first derivative of 3/10*w**4 + 1/10*w**6 + 0*w**2 - 8/5*w**3 + 3/5*w**5 + 18 + 0*w. Solve o(t) = 0 for t.
-4, -2, 0, 1
Let q be -22*(-72)/(-7 - -10). Let y = 531 - q. Let 6*p**2 - 15/2*p**4 + 0 + 12*p - 9*p**y - 3/2*p**5 = 0. Calculate p.
-2, 0, 1
Let b be (-14602)/(-9387) + 236/45. Solve 2/5*k**3 - 4 + b*k - 16/5*k**2 = 0.
1, 2, 5
Let d(v) = 20*v**3 - 6215*v**2 - 18025*v + 24110. Let g(o) = 3*o**3 - 888*o**2 - 2575*o + 3444. Let b(a) = 8*d(a) - 55*g(a). Determine z, given that b(z) = 0.
-173, -4, 1
Let n(b) be the second derivative of b**4/12 - 19*b*