rivative of 2*u**3/15 + 378*u**2/5 + 2994. Factor w(i).
2*i*(i + 378)/5
Let h = -92257 + 369029/4. Factor 9/2 + 4*b**2 + 35/4*b - h*b**3.
-(b - 18)*(b + 1)**2/4
Suppose -4*g + 16*d = 21*d - 134, -5*g - 2*d = -142. Let t(n) be the second derivative of 1/60*n**4 + 1/5*n**2 + 0 + g*n - 1/10*n**3. What is j in t(j) = 0?
1, 2
Let y(b) = b**2 + 7041*b + 119410. Let h be y(-17). Factor 3721/6 + 1/6*a**h - 61/3*a.
(a - 61)**2/6
Let v(l) = -26*l**3 - 6724*l**2 - 1223235*l + 408500. Let x(p) = 9*p**3 + 2243*p**2 + 407745*p - 136167. Let z(y) = 6*v(y) + 17*x(y). Factor z(o).
-(o + 369)**2*(3*o - 1)
Let m be (2/(-8))/(7/(-112)). Suppose -4*v - 2*c + 6 = 0, 3*v - 2 = m*c + 8. Factor -2*x**3 + 140*x**2 - 149*x**v + 3*x**5 + 9*x**4 + 5*x**3 - 6*x.
3*x*(x - 1)*(x + 1)**2*(x + 2)
Let 8418/7*y**2 + 1072/7*y + 32/7 - 9522/7*y**3 = 0. Calculate y.
-4/69, 1
Let v = 2959922/9 + -328880. Factor v*d**2 + 578/9 - 68/9*d.
2*(d - 17)**2/9
Let v be ((-130)/117)/(6/(-54)) + 91/(117/(-9)). Factor -47/4*f + 23/4 + 25/4*f**2 - 1/4*f**v.
-(f - 23)*(f - 1)**2/4
Let s(i) = i**2. Let z(o) = 10 - 44*o - 2 + 8*o**3 + 6*o**2 + 12*o - 10*o**2. Let c(l) = l - 4. Let h be c(6). Let f(w) = h*s(w) + z(w). Factor f(a).
2*(a - 2)*(a + 2)*(4*a - 1)
Let m(w) be the second derivative of w**4/4 - 724*w**3 + 786264*w**2 - 2101*w. Factor m(a).
3*(a - 724)**2
Suppose -8*w + 13*w + 7 = -2*p, 4*p + 4*w - 4 = 0. Suppose 4*h - 7*l + 3*l - p = 0, -5*l = 3*h - 11. Factor -1/2*g**3 - 1/5 - 9/10*g**h - 1/10*g**4 - 7/10*g.
-(g + 1)**3*(g + 2)/10
Suppose -2 = -5*f - 7, f = o - 5. Let k(h) = -h**2 + 4*h + 9. Let b be k(5). Find u such that -25*u**3 + 3 + 45*u**2 + 11 + 5*u**b - o - 35*u = 0.
1, 2
Factor -196/3*r - 1/3*r**2 - 388/3.
-(r + 2)*(r + 194)/3
Let f = 2562 - 23057/9. Let b(j) be the first derivative of -f*j**3 + 0*j - 6 + 1/6*j**2. Suppose b(p) = 0. Calculate p.
0, 1
Let c(i) be the first derivative of -i**6/30 + 14*i**5/25 - 51*i**4/20 + 10*i**3/3 + 22*i**2/5 - 72*i/5 - 293. Let c(s) = 0. Calculate s.
-1, 2, 9
Let c(q) = 2 - 8 + 75*q**3 - 31*q**3 - 6*q - 40*q**3 + 2*q**2. Let j(n) = -5*n**3 - 2*n**2 + 8*n + 8. Let b(h) = -3*c(h) - 2*j(h). Solve b(f) = 0 for f.
-1, 1
Factor -3/7*c**2 - 2169/7 - 732/7*c.
-3*(c + 3)*(c + 241)/7
Suppose -805/4*g**2 - 49/2*g + 59*g**3 + 0 - 17/4*g**4 = 0. Calculate g.
-2/17, 0, 7
Suppose 0 = -5*a - 17*d - 364, 205*d = -4*a + 200*d - 102. What is b in -3/2*b**a - 18 - 21/2*b = 0?
-4, -3
Let t(x) be the first derivative of 16/5*x**2 - 28/5*x - 11/15*x**3 + 1/20*x**4 - 11. Factor t(h).
(h - 7)*(h - 2)**2/5
Let m(o) be the third derivative of -o**7/70 - o**6/4 + 12*o**5/5 + 36*o**4 + 741*o**2 - 3. Solve m(t) = 0.
-12, -4, 0, 6
Solve 398*k - 79*k**3 - 53*k**2 + 40*k**3 + 40*k**3 + 246*k**2 + 8*k**2 = 0 for k.
-199, -2, 0
Suppose -195 + 475 = -7*z. Let i be z/(-12) - (-3)/9*-1. Factor 217*d**3 - 225*d**i + 25*d - 7*d - 4 - 6*d**2.
-2*(d - 1)*(d + 2)*(4*d - 1)
Determine g so that -72/7 + 15*g + 3/7*g**3 - 36/7*g**2 = 0.
1, 3, 8
Suppose -3*d = -3*i + 69, 2*d = -2*i + 25 + 33. Let x be 4/i - 24/(-13). Factor 23*c + 6*c**3 + 4 - x*c**3 - 27*c - c**2 - 3*c**2.
4*(c - 1)**2*(c + 1)
Let k(f) be the first derivative of -5/4*f**4 + 0*f + 2/3*f**3 - 42 + 0*f**2 + 3/5*f**5. Find m, given that k(m) = 0.
0, 2/3, 1
Let g(y) be the first derivative of -3*y**5/5 - 39*y**4 - 147*y**3 + 6*y**2 + 588*y - 6325. Suppose g(n) = 0. What is n?
-49, -2, 1
Let g = 67809/10 - 33882/5. Factor -g*p - 3/4*p**2 + 12.
-3*(p - 2)*(p + 8)/4
Let l(j) be the second derivative of -75/2*j**2 - 1/4*j**5 - 3 + 145/6*j**3 - 65/12*j**4 + 4*j. Factor l(w).
-5*(w - 1)**2*(w + 15)
Let g(v) be the second derivative of v**4/4 + 4*v**3 + 18*v**2 - 3140*v. Find m, given that g(m) = 0.
-6, -2
Let k(x) be the first derivative of x**4/6 + 8*x**3/9 + x**2 + 1063. Factor k(w).
2*w*(w + 1)*(w + 3)/3
Solve -53/5*m**3 + 4*m + 21/5*m**2 - 4/5 + 33/5*m**5 - 17/5*m**4 = 0 for m.
-1, -2/3, 2/11, 1
Let t(k) be the second derivative of -2*k + 9 - 5/78*k**4 - 1/130*k**5 + 0*k**2 - 2/13*k**3. Factor t(i).
-2*i*(i + 2)*(i + 3)/13
Let p(n) be the first derivative of n**6/21 - 12*n**5/7 + 16*n**4 - 940*n**3/21 - 225*n**2/7 + 1000*n/7 + 10748. Let p(t) = 0. What is t?
-1, 1, 5, 20
Let f(n) = -n**3 + 5*n**2 - 7*n + 4. Let b be f(3). Let q(i) = 25*i**2 - 90*i + 245. Let j(d) = -d**2 + d. Let k(h) = b*q(h) + 20*j(h). Factor k(z).
5*(z - 7)**2
Let g(n) = -n**2 + 3. Let y(s) = 5*s**2 - 186*s - 390. Let b(r) = 2*g(r) + y(r). Determine p so that b(p) = 0.
-2, 64
Let l(d) be the second derivative of d**5/140 + 13*d**4/84 - 41*d**3/7 + 216*d**2/7 - 73*d. Factor l(m).
(m - 9)*(m - 2)*(m + 24)/7
Let t = -6/151 - -211/1510. Let i be (-30)/(-12) - (-1)/(-2). Factor -t*z**3 + 3/10 + 1/2*z**i - 7/10*z.
-(z - 3)*(z - 1)**2/10
Let h = 48 + -70. Let p = h + 29. Find q such that -1 + 2*q + 13*q + p + 2*q**2 - 7*q = 0.
-3, -1
Let f = 33205/3 + -11226. Let x = f + 481/3. Factor -x*z - 1/3*z**2 + 0.
-z*(z + 8)/3
Determine q, given that 323*q**2 - q**3 - 872*q**2 - 3*q**3 - 1114*q**2 - 613*q**2 = 0.
-569, 0
Let -219/2*i**3 + 105/2*i**2 + 3*i**4 + 54*i + 0 = 0. What is i?
-1/2, 0, 1, 36
Let g(h) = 3*h**2 - 8*h + 5. Let b(c) = 8*c + 32. Let f be b(-4). Suppose f*d = -d + 7. Let u(m) = 2*m**2 - 4*m + 2. Let l(k) = d*u(k) - 4*g(k). Factor l(v).
2*(v - 1)*(v + 3)
Let c(y) be the second derivative of y**4/6 + y**3/2 + 9*y**2/2 - 10*y. Let g be c(4). Determine a, given that 20*a**2 + 27 + 26 - g - 5*a**3 = 0.
0, 4
Let u(g) be the second derivative of 3*g - 1/28*g**4 - 3/7*g**3 - 15/14*g**2 + 1. Factor u(z).
-3*(z + 1)*(z + 5)/7
Determine g so that -33/5*g**3 + 0 - 12/5*g**5 + 0*g - 57/5*g**4 + 12/5*g**2 = 0.
-4, -1, 0, 1/4
Let d(z) = -2*z**5 + 1658*z**4 + 4610*z**3 + 2110*z**2 - 852*z - 12. Let q(i) = i**5 + i**2 - 2*i - 2. Let m(w) = d(w) - 6*q(w). Let m(h) = 0. Calculate h.
-2, -1, 0, 1/4, 210
Let v be ((-6)/384*4)/(-3). Let n(x) be the third derivative of 125/24*x**3 + v*x**5 - 15*x**2 - 25/48*x**4 + 0 + 0*x. Solve n(b) = 0 for b.
5
Let h(o) = 10*o**4 - 176*o**3 - 558*o**2 - 6*o + 24. Let i(x) = -x**4 - x**2 + x - 4. Let u(q) = -h(q) - 6*i(q). Determine g so that u(g) = 0.
-3, 0, 47
Solve -32 + 1/6*q**3 - 94/3*q - 22/3*q**2 = 0.
-2, 48
Solve -19*v**2 + 1/2*v**3 - 45/2*v + 117 = 0 for v.
-3, 2, 39
Let r be 3*(-4)/12 + 9 + -8. Solve -18/5*t**4 + r + 48/5*t**3 + 2/5*t**5 + 0*t - 32/5*t**2 = 0 for t.
0, 1, 4
Let w(p) be the second derivative of 16*p**2 + 1/120*p**5 + 0 + 33*p - 7/12*p**4 + 49/3*p**3. Let z(l) be the first derivative of w(l). Factor z(o).
(o - 14)**2/2
Let -80656/3 - 27264*g - 4/3*g**3 - 380*g**2 = 0. Calculate g.
-142, -1
Let z(m) be the third derivative of m**8/2352 + m**7/294 + m**6/210 - 4*m**5/105 - 4*m**4/21 - 8*m**3/21 - 2103*m**2. Determine u, given that z(u) = 0.
-2, -1, 2
Let r(m) be the first derivative of -2*m**5/5 + 47*m**4/2 - 436*m**3/3 + 340*m**2 - 336*m - 4304. Determine z, given that r(z) = 0.
1, 2, 42
Solve -10*q**2 + 144 - 522*q**3 - 521*q**3 + 136*q + 36*q**2 + 1041*q**3 + 2*q**2 = 0.
-2, 18
Let b = -3689/177 - -1918/59. Factor -15 - 5/3*o**3 - b*o**2 + 85/3*o.
-5*(o - 1)**2*(o + 9)/3
Let n(z) be the third derivative of 1/15*z**6 + 0*z - 22/3*z**3 - 53/30*z**5 + 101/12*z**4 - 152*z**2 + 0. Let n(k) = 0. Calculate k.
1/4, 2, 11
Let w(m) be the third derivative of m**7/70 + m**6/4 - 39*m**5/20 - 62*m**4 - 224*m**3 + 4047*m**2. Let w(v) = 0. Calculate v.
-8, -1, 7
Let b = 34580 - 34578. Factor -1/7*t**3 + 8/7 + 10/7*t**b - 17/7*t.
-(t - 8)*(t - 1)**2/7
Let l(w) = 4*w**2 - 104*w + 1352. Let v(m) = -m**2 + 3*m + 2. Let b be v(4). Let u(a) = 17*a**2 - 416*a + 5408. Let n(p) = b*u(p) + 9*l(p). Factor n(h).
2*(h - 26)**2
Factor -338/21*k - 340/21 + 2/21*k**2.
2*(k - 170)*(k + 1)/21
Let q = 3098328/5 - 619665. Suppose 4/5 - q*r**2 - 1/5*r**4 - r**3 + r = 0. Calculate r.
-4, -1, 1
Let n be -12 - (-94 - -91)*7/((-63)/(-48)). Factor z + 3/4*z**2 - z**3 - 7/8 + 1/8*z**n.
(z - 7)*(z - 1)**2*(z + 1)/8
Let f(c) be the second derivative of -7*c**6/24 + 19*c**5/12 + 5*c**4/4 + 21*c**2/2 + 13*c - 1. Let d(m) be the first derivative of f(m). Factor d(o).
-5*o*(o - 3)*(7*o + 2)
Let j(t) = -7*t**2 - 153*t - 286. Let y(g) = 4*g**2 + 102*g + 193. Let w(a) = -5*j(a) - 8*y(a). Solve w(z) = 0 for z.
-2, 19
Let l(f) be the second derivative of f**7/14 + 6*f*