3*v(m). Factor k(q).
3*(q + 7)*(5*q + 9)
Let i be (-2 + (-30)/(-18))*6*-2886. Solve -i*o**4 + o**3 - o**3 - 16*o**2 + 5788*o**4 - 4*o + 4*o**3 = 0.
-1, -1/4, 0, 1
Let h(t) be the third derivative of t**6/200 - 26*t**5/5 + 1792*t**2 - 2*t. Factor h(u).
3*u**2*(u - 520)/5
Let b = 230 + -227. Suppose -b*m + 22 = 16. Factor 0 - 4/9*c**4 + 0*c - 4/3*c**3 - 8/9*c**m.
-4*c**2*(c + 1)*(c + 2)/9
Let k(l) = -2*l**2 - 145*l - 2219. Let d be k(-22). Let y(o) be the first derivative of 2/3*o**d + 26 + 18/7*o + 15/7*o**2 + 1/14*o**4. Factor y(r).
2*(r + 1)*(r + 3)**2/7
Let r be 2/(-42) - 7/(-3). Let o(c) be the first derivative of 23 + 128/21*c**3 + 2/7*c - r*c**2. Factor o(l).
2*(8*l - 1)**2/7
Let t(d) = -d**2 - 9 + 12 + d + 5 - 8*d + d**3. Let c be t(3). Factor 19*w**2 + c*w**2 - 4*w + 8 - 28*w**2.
-4*(w - 1)*(w + 2)
Let t be 2 + 4060/(-6) + (-248)/(-372). Let r = 5393/8 + t. Factor 0 - r*k**3 - 3/8*k**2 - 1/4*k.
-k*(k + 1)*(k + 2)/8
Factor 1340/11 - 2/11*p**2 + 666/11*p.
-2*(p - 335)*(p + 2)/11
Let v(u) be the first derivative of 2*u**3/3 - 62*u**2 + 1922*u + 2670. Solve v(h) = 0 for h.
31
Suppose -4*o - 3*w = -159, -4*o - 26 = 4*w - 186. Let l = o + -36. Factor -10*r + 22*r**2 - 22*r**2 + 5*r**4 - 5 + 10*r**l.
5*(r - 1)*(r + 1)**3
Let q(z) be the second derivative of z**5/45 - 16*z**4/27 + 50*z**3/27 + 28*z**2/3 - 815*z. Determine j so that q(j) = 0.
-1, 3, 14
Suppose -34 = 6*d - 52. Let x(w) be the first derivative of 1/11*w**4 - 18 - 5/11*w**2 - 2/33*w**d - 4/11*w. Suppose x(j) = 0. Calculate j.
-1, -1/2, 2
Let s(n) = -42*n**3 - 859*n**2 - 850*n. Let r(x) = -23*x**3 - 430*x**2 - 425*x. Let b(c) = 11*r(c) - 6*s(c). Factor b(k).
-k*(k - 425)*(k + 1)
Factor 10*p**2 + 32*p**3 + 28*p**3 - 1000 - 55*p**3 - 275*p.
5*(p - 8)*(p + 5)**2
Let n(v) be the first derivative of -v**4/4 + 5*v**3/3 + 18*v**2 + 2474. Solve n(o) = 0 for o.
-4, 0, 9
Let y = -9454 + 14574. Factor 33*q**2 + 35*q**2 + 163*q**2 + 15*q**3 + 89*q**2 + y*q - 10*q**3.
5*q*(q + 32)**2
Suppose -25*q - 274 + 1674 = 0. Let h be (48/q)/(28/343). Let -h*n + 9 - 3*n**3 - 27/2*n**2 = 0. What is n?
-3, -2, 1/2
Let i(y) be the first derivative of -2*y**6/3 + 226*y**5/5 - 1461*y**4/2 - 29026*y**3/3 + 285131*y**2 + 292008*y + 858. Let i(u) = 0. Calculate u.
-12, -1/2, 23
Let s(n) be the first derivative of -n**8/112 + n**7/70 + n**6/20 + 115*n**2/2 - 6. Let m(t) be the second derivative of s(t). Determine w, given that m(w) = 0.
-1, 0, 2
Let b be 8 + 702/(-132) + -1*4/22. Find a such that 9/2*a - 3/2*a**2 - b - 1/2*a**3 = 0.
-5, 1
Let g(r) = -43 + 20*r + 25 + 3*r**2 - 2*r**2 - 3. Let z be g(-23). What is v in -12*v + z*v + 4*v**3 + 8 - 24 - 24*v**2 = 0?
1, 4
Let 1800 - 15/2*g**4 - 5145*g - 102*g**3 + 3309/2*g**2 = 0. Calculate g.
-24, 2/5, 5
Let g(q) be the second derivative of 3/7*q**3 + q + 81/14*q**2 + 1/84*q**4 + 3. Factor g(f).
(f + 9)**2/7
Let v(g) be the third derivative of -g**6/30 + 28*g**5/15 - 110*g**4/3 + 224*g**3 - 8374*g**2. Factor v(k).
-4*(k - 14)*(k - 12)*(k - 2)
Suppose -9/2*r**4 - 1072*r**2 - 3072*r + 1/2*r**5 - 152*r**3 - 3200 = 0. Calculate r.
-4, 25
Let w = -44495/4 + 11309. Let h = w + -183. Let -3/4*x**5 + 3/4*x**4 - 3/4*x**2 - 3/2*x + 0 + h*x**3 = 0. What is x?
-1, 0, 1, 2
Let b = -551 - -554. Suppose a + 3*g + 6 = 0, -a + g - 4 = b*g. Factor 0*x**3 - x**2 + 1/3*x**4 - 2/3*x + a.
x*(x - 2)*(x + 1)**2/3
Factor -48/5 - 21/5*b**2 + 66/5*b.
-3*(b - 2)*(7*b - 8)/5
Let a = -29971/22 + 1362. Let h = -13/110 - a. Factor h*z**3 + 9/5*z + 0 - 6/5*z**2.
z*(z - 3)**2/5
Let c = -316 + 483. Suppose -23 + 44*g + 16*g**2 + 3 + c*g**4 - 162*g**4 + 11*g**2 - 32*g**3 = 0. Calculate g.
-1, 2/5, 2, 5
Let w be (10/25)/(4*(-2)/(-40)). Let b be 3 + w*(-1 + -4)/(-5). Suppose 5/2*h - 5*h**3 - b - 5*h**4 + 5/2*h**5 + 10*h**2 = 0. Calculate h.
-1, 1, 2
Factor -46*j**2 + 167675*j**3 + 30 - 27*j + 101*j - 167669*j**3.
2*(j - 5)*(j - 3)*(3*j + 1)
Let c(o) be the second derivative of 35/6*o**4 - 8*o + 16 - 16*o**2 - 9/20*o**5 - 64/3*o**3. Factor c(g).
-(g - 4)**2*(9*g + 2)
Let a be 16/28 - -2*1631/(-5880). Let t(z) be the second derivative of -1/24*z**4 + 15*z + 0*z**3 + a*z**6 + 0*z**2 + 0 + 0*z**5. Solve t(s) = 0.
-1, 0, 1
Let p(q) = -5*q**2 - 265*q + 190. Let u(k) = -10*k**2 - 547*k + 381. Let f(r) = -11*p(r) + 5*u(r). Factor f(z).
5*(z - 1)*(z + 37)
Factor -371*o - 5*o**2 - 66*o + 12*o - 2370.
-5*(o + 6)*(o + 79)
Let u(x) be the second derivative of -x**7/63 + x**6/5 + 2*x**5/5 - 46*x**4/9 - 16*x**3 + 7621*x - 1. Solve u(j) = 0.
-2, 0, 4, 9
Let b(k) be the first derivative of -k**7/280 - k**6/40 + 9*k**5/40 - 5*k**4/8 - 17*k**3 + 48. Let m(r) be the third derivative of b(r). Solve m(v) = 0 for v.
-5, 1
Let q = 1187/333 - 6311/2331. Let c = -8 + 8. Determine g, given that 4/7*g**2 - 4/7*g**4 + 2/7*g**5 + q*g - 8/7*g**3 + c = 0.
-1, 0, 1, 3
Factor 93 - 37/2*w + 1/2*w**2.
(w - 31)*(w - 6)/2
Let m(y) = y. Suppose -5*a + v - 9 = 0, 3*v - 15 = -25*a + 28*a. Let i(u) = 2*u - 2*u - 2*u - 2*u**2 - 8*u. Let z(g) = a*i(g) - 8*m(g). Factor z(d).
2*d*(d + 1)
Suppose 48800 = 316187*j - 316065*j. Solve 202/13*i**2 + j*i + 2/13*i**3 + 5000/13 = 0 for i.
-50, -1
Let q(a) be the third derivative of -160/3*a**3 + 10/3*a**4 + 0*a + 0 + 89*a**2 - 1/12*a**5. Find o, given that q(o) = 0.
8
Let k be ((-1320)/(-25))/11 + (24/(-5) - -5). Let c(y) be the first derivative of 3 - y**k + 0*y**2 + 0*y + 0*y**3 - 1/4*y**4. Determine p so that c(p) = 0.
-1/5, 0
Let j be (-17179)/41 + (1 + 1)/2. Let o = j + 1256/3. Factor 0 - o*h - 1/3*h**2.
-h*(h + 2)/3
Let n(z) be the third derivative of z**5/12 + 2145*z**4/4 + 2760615*z**3/2 - 3*z**2 + 36*z - 7. Let n(i) = 0. What is i?
-1287
Solve -255*d + 3210*d**2 + 3150 + 3083*d**2 - 6288*d**2 = 0.
21, 30
Factor -432/11*x + 2/11*x**2 + 23328/11.
2*(x - 108)**2/11
Let j(o) be the first derivative of -2/15*o**5 + 2*o + 2/3*o**4 - 18 - 4/3*o**2 - 4/9*o**3. Let j(x) = 0. Calculate x.
-1, 1, 3
Let s(k) be the first derivative of 125*k**4/16 - 7225*k**3 + 2505630*k**2 - 386201104*k + 4740. Determine c so that s(c) = 0.
1156/5
Let x(n) = n**3 + 18*n**2 + 14*n - 43. Let i be x(-17). Let b be (-66)/((-48)/8) - i. Find a, given that -1/2 - 7/4*a - 1/4*a**4 - 9/4*a**2 - 5/4*a**b = 0.
-2, -1
Suppose -2*j - 88 = -2*x, -5*j - 5*x + 73 = 243. Let s = -37 - j. Solve y**3 - 6*y**3 + 2*y**2 + s*y**4 + y**3 = 0 for y.
0, 1
Let d(v) be the first derivative of v**6/3 + 14*v**5/5 + 8*v**4 + 16*v**3/3 - 16*v**2 - 32*v - 3376. Suppose d(c) = 0. Calculate c.
-2, 1
Solve -2/7*u**3 + 0 + 698/7*u**2 + 0*u = 0.
0, 349
Let d(o) = o + 12. Let w be -4 + 8 - (11 - -2). Let i be d(w). Let 8*f**i - 1111*f + 6*f**2 + 2*f**4 + 1111*f = 0. Calculate f.
-3, -1, 0
Let o(h) be the second derivative of 2/21*h**4 - 3 - 1/105*h**6 + 19*h + 0*h**3 + 0*h**2 - 1/147*h**7 + 2/35*h**5. What is k in o(k) = 0?
-2, -1, 0, 2
Determine p, given that 1233 - 154*p**2 - 806 + 5*p**3 + 60 + 1049 + 1088*p = 0.
-6/5, 16
Let q(u) be the first derivative of -u**6/120 + 3*u**5/40 + u**4/2 - 2*u**3 - 7. Let a(f) be the third derivative of q(f). Find t such that a(t) = 0.
-1, 4
Let m be 4*16/1248*3. Let f(q) be the first derivative of 12/13*q + 31/13*q**2 + m*q**4 + 58/39*q**3 - 23. Factor f(a).
2*(a + 1)*(a + 6)*(4*a + 1)/13
Let a(r) = -r**2 - 16*r - 61. Let n be a(-9). Find x, given that -x**2 + 7*x**2 + n*x**3 + 2476*x - 65536 + 3668*x - 198*x**2 = 0.
32
Let u(b) = -37*b**2 - 427*b + 185. Let d(y) = 18*y**2 + 216*y - 93. Let k(i) = 5*d(i) + 3*u(i). What is o in k(o) = 0?
-10, 3/7
Suppose -12 - 88/7*p - 4/7*p**2 = 0. Calculate p.
-21, -1
Let v be (-41)/(-164) + (-2 - 3/((-108)/223)). Factor -14/3 - v*a + 2/9*a**2.
2*(a - 21)*(a + 1)/9
Determine j, given that -11907/4*j - 250047/4 - 189/4*j**2 - 1/4*j**3 = 0.
-63
Let u(y) = y**3 + 25*y**2 - 25*y + 34. Let h be u(-26). Solve 17*w**3 - h*w**4 - 4*w**4 + 4*w**5 + w**3 - 2*w**5 = 0 for w.
0, 3
Let z = 4681/561 + -2/187. Let m = 2773441 + -2773431. Factor -5/3*r**3 + 10/3*r**2 + z*r - m.
-5*(r - 3)*(r - 1)*(r + 2)/3
Let x(d) = -27*d - 22. Let w be x(0). Let l be w/40 + 12/15. Find r, given that 0 + 3/4*r + l*r**2 = 0.
-3, 0
Let p(z) = -159*z**3 + 1793*z**2 - 6443*z + 5487. Let s(o) = -23*o**3 + 256*o**2 - 921*o + 784. Let w(t) = 4*p(t) - 27*s(t). Factor w(d).
-5*(d - 13)*(d - 3)*(3*d - 4)
Let z(w) = 3*w**2 - 4*w - 4