 + 0. Factor m(b).
-2*b**2*(b - 1)*(4*b + 1)/7
Let t(v) be the third derivative of -123*v**2 + 0*v**3 + 1/3*v**6 + 0*v + 19/12*v**5 - 1/42*v**7 + 25/12*v**4 + 0. Suppose t(s) = 0. Calculate s.
-1, 0, 10
Suppose -2*z - 40 = -4*d, 127*z - 50 = 124*z - 4*d. Factor 4/13 - 34/13*b**z + 12/13*b**3 + 18/13*b.
2*(b - 2)*(b - 1)*(6*b + 1)/13
Factor -1710/7 + 1712/7*k - 2/7*k**2.
-2*(k - 855)*(k - 1)/7
Let q(w) be the third derivative of 20667*w**5/80 + 83*w**4/16 + w**3/24 - 3*w**2 + 1051*w. Factor q(a).
(249*a + 1)**2/4
Let k(l) be the second derivative of -83*l**4/6 - 160*l**3/3 + 12*l**2 + 3*l + 31. Factor k(h).
-2*(h + 2)*(83*h - 6)
Let l(c) = c**3 + 5*c**2 - 34*c + 22. Let j be l(-9). Suppose -16 = 4*n, -s = s - 5*n - 38. Factor 6*v**j - 63*v**2 - 9 - 51*v - s*v**3 + 12*v**4 - 6*v**4.
3*(v - 3)*(v + 1)**2*(4*v + 1)
Let w(y) be the second derivative of 35*y**4/36 + y**3/9 + 967*y. Solve w(i) = 0.
-2/35, 0
Suppose -5*g - 22 = -4*p, -2*p + 2 = 53*g - 51*g. Find r, given that 80/7*r**2 + 0 + 17/7*r**p + 64/7*r + 1/7*r**4 = 0.
-8, -1, 0
Let w(y) = 283*y - 68200. Let n be w(241). Determine q, given that -n*q - 20/3 - 1/3*q**2 = 0.
-5, -4
Suppose -92*n + 19 = 147 - 312. Let 2/7*k**5 - 250/7 + 220/7*k**n - 150/7*k + 30/7*k**4 + 148/7*k**3 = 0. Calculate k.
-5, -1, 1
Let r = 278 + -210. Factor 4*h**2 + r*h**3 - 66*h**3 - 6*h - 10*h.
2*h*(h - 2)*(h + 4)
What is a in -32/5 - 2/5*a**5 - 8/5*a**3 - 32/5*a**2 + 2*a**4 + 64/5*a = 0?
-2, 1, 2
Let l(p) be the second derivative of 7/12*p**4 + 26 + p + 1/30*p**6 - 4*p**2 + 19/9*p**3 - 19/30*p**5. Let l(v) = 0. What is v?
-1, 2/3, 1, 12
Factor b + 14131*b**3 + 22671*b**3 - 434*b**2 + 5336*b**3 + 4951*b**3.
b*(217*b - 1)**2
Suppose 0 = -14*k + 20*k - 210. Factor k*c**2 + 10*c + 0 - 15*c**3 + 5 - 35*c.
-5*(c - 1)**2*(3*c - 1)
Let z be (5/(-3) + 1)/((-1664)/1404). Let b(f) be the second derivative of -1/4*f**3 + 0 + 1/32*f**4 - 19*f + z*f**2. Determine p so that b(p) = 0.
1, 3
Let f(w) = 8*w**3 - 30*w**2 - 52*w - 7. Suppose 0*r = 4*r - 8. Let n(s) = 7*s**2 + 6*s + r + 3*s**2 + 11*s - 3*s**3. Let q(y) = 2*f(y) + 7*n(y). Factor q(k).
-5*k*(k - 3)*(k + 1)
Let r(v) = -4*v**3 + 1221*v**2 - 608*v + 6. Let d(s) = -s**3 - 6*s**2 + 3*s - 1. Let t(h) = 6*d(h) + r(h). Factor t(f).
-5*f*(f - 118)*(2*f - 1)
Let r(h) be the first derivative of 21 - 3/2*h**2 - 21/4*h**4 + 0*h - 9/5*h**5 - 5*h**3. What is g in r(g) = 0?
-1, -1/3, 0
Let q(g) = g**3 + 4*g**2 - 5*g + 4. Suppose -6 + 0 = 2*v - w, 2*v - 4*w - 6 = 0. Let u be q(v). Factor -u + 6*l**2 - 5*l**2 + 3*l - 3*l.
(l - 2)*(l + 2)
Factor 1768*b - 3*b**2 + 83572 - 535204 + 560*b.
-3*(b - 388)**2
Let j(f) = 16*f**2 - 110*f + 136. Let n(z) = -20*z + 10*z + 10*z + z**2 + z + 1. Let i(b) = -2*j(b) + 28*n(b). Suppose i(t) = 0. What is t?
1, 61
Let v(r) be the third derivative of -r**7/5040 - 41*r**6/720 - 1681*r**5/240 - 83*r**4/24 + r**2 - 44*r. Let n(k) be the second derivative of v(k). Factor n(d).
-(d + 41)**2/2
Let m(i) be the second derivative of -i**4/72 - 41*i**3/12 + 125*i**2/6 - 268*i - 4. Determine r so that m(r) = 0.
-125, 2
Let z(p) be the first derivative of -p**4/18 - 62*p**3/27 + 20*p**2 - 1678. Factor z(t).
-2*t*(t - 5)*(t + 36)/9
Find p, given that -2*p**5 + p**5 - 178*p - 144 + 649*p - 546*p**2 + 252*p**3 - 2*p**5 - 30*p**4 = 0.
-16, 1, 3
Let y(h) = -5*h**2 - 8*h - 9. Let n(t) = -9*t**2 - 15*t - 19. Let i(d) = -d**2 + 10. Let s be i(4). Let b(r) = s*n(r) + 11*y(r). Factor b(f).
-(f - 5)*(f + 3)
Let f(b) be the third derivative of -1/450*b**5 - 7/180*b**4 + 2*b**2 + 36 + 0*b - 4/15*b**3. Determine v so that f(v) = 0.
-4, -3
Let x = 14567/5 + -15488/5. Let s = -183 - x. Find m such that 8/5 - 8/5*m + 4/5*m**3 + 2/5*m**4 - s*m**2 = 0.
-2, 1
Let x(k) = 5*k**4 - 405*k**3 - 1942*k**2 - 3060*k - 1522. Let c(v) = 5*v**4 - v**2 - 1. Let h(p) = 2*c(p) - x(p). What is l in h(l) = 0?
-76, -2, -1
Let p = 303 + -301. Suppose -4*a**2 + a**p + 17008*a - 17038*a - 75 = 0. What is a?
-5
Determine o, given that -196/5*o**3 - 860*o + 644*o**2 + 300 = 0.
5/7, 15
Suppose 5536*o + 720 = 5896*o. Find n, given that 3*n**3 - 3*n**o - 3/2*n - 3/2*n**5 + 3/2*n**4 + 3/2 = 0.
-1, 1
Let d = 707763 - 1415499/2. Let 63/4*i - d - 6*i**2 + 3/4*i**3 = 0. Calculate i.
2, 3
Let r(h) be the first derivative of -2*h**3/57 + 52*h**2/19 - 470*h/19 - 2544. Factor r(b).
-2*(b - 47)*(b - 5)/19
Let u(o) = o**2 - 5*o + 4. Let v(h) = -3*h**2 - 793*h - 11 + 406*h + 401*h. Let a(c) = 14*u(c) + 4*v(c). Factor a(r).
2*(r - 6)*(r - 1)
Let t(s) be the first derivative of -16 + 2/7*s**3 - 1/42*s**4 + s**2 - 39*s. Let m(n) be the first derivative of t(n). Factor m(o).
-2*(o - 7)*(o + 1)/7
Let b(z) = 3*z**3 - 5*z**2 + 13. Let p be b(3). Let v = p + -37. Let 4 - 9*t**2 - 10 + 3 + v*t = 0. What is t?
1/3, 1
Let v be 40/18 - 90/405. Determine l, given that v*l**4 + 2*l**3 - 117*l - 8*l**3 - 4*l**3 + 4 + 103*l + 18*l**2 = 0.
1, 2
Let o = -302939/18 - -16830. Let u(v) be the second derivative of -1/3*v**3 + o*v**4 + 1/10*v**5 + 1/45*v**6 + 20*v - 2/3*v**2 + 0. Find s such that u(s) = 0.
-2, -1, 1
Let l(t) be the second derivative of -10/21*t**3 + 1/42*t**4 + 0 + 16/7*t**2 - 70*t. Let l(d) = 0. Calculate d.
2, 8
Let p(m) be the third derivative of m**8/84 - 118*m**7/21 + 7301*m**6/10 - 7203*m**5/5 + 2311*m**2. Factor p(z).
4*z**2*(z - 147)**2*(z - 1)
Let q = -7974 + 7974. Factor q + 4/3*f + 4/3*f**2 + 1/3*f**3.
f*(f + 2)**2/3
Let w be ((-14)/5)/((-10)/125). Let j be 32/w + 10/35. Determine d so that j*d + 0 + 0*d**2 - 6/5*d**3 = 0.
-1, 0, 1
Let r = 34 + -20. Let s = 5 + 0. Factor -40*x**2 + 10*x**4 - 5*x**s + 23*x - 10 - r*x + 10*x**3 + 26*x.
-5*(x - 1)**4*(x + 2)
Let j(b) be the third derivative of b**5/240 + b**4/16 - 2*b**3/3 - 448*b**2 + 1. Determine h, given that j(h) = 0.
-8, 2
Solve 83055 + 5*n**2 + 3187*n + 39510 + 532655 + 433*n + 0*n**2 = 0.
-362
Factor 22516*m**2 + 2*m - 4*m + 4*m**3 - 5*m**3 - 272 - 22244*m**2 + 3*m**3.
2*(m - 1)*(m + 1)*(m + 136)
Factor 72*t - 224 - 34*t + 2*t + 12*t + t**2.
(t - 4)*(t + 56)
Let f(y) = -35*y**3 + 144*y**2 - 122*y - 52. Let t(m) = -46*m**3 + 191*m**2 - 163*m - 70. Let h(u) = 13*f(u) - 10*t(u). Let h(b) = 0. Calculate b.
-2/5, 2, 6
Let s = -248 - -250. Factor -3*j**2 - s*j**2 - 2*j + j + 4*j**2.
-j*(j + 1)
Let g = -9 - -39. Suppose -48*k - 59 + 635 = 0. Factor -2*v**3 - 27*v**5 - k*v + g*v**5 + 24*v**2 - 2*v**3 - 6*v**4 - 5*v**3.
3*v*(v - 2)*(v - 1)**2*(v + 2)
Let d(o) = o**3 - 2*o**2 - o - 3. Let i(b) = -5*b**4 - 325*b**3 - 4740*b**2 - 8675*b - 4130. Let z(t) = -25*d(t) - i(t). Solve z(s) = 0.
-29, -1
Let k(h) be the first derivative of -h**6/24 - 2*h**5/5 - 5*h**4/8 + 7*h**3/3 + 11*h**2/8 - 5*h + 1241. Let k(z) = 0. Calculate z.
-5, -4, -1, 1
Let b(p) = 196*p - 7445. Let a be b(38). Let v(y) be the third derivative of -1/40*y**4 + 0*y + 0 + 0*y**3 - a*y**2 - 1/200*y**6 + 1/50*y**5. Factor v(u).
-3*u*(u - 1)**2/5
Let l(x) be the second derivative of -1/14*x**4 + 1/35*x**6 + 0 - 12*x + 0*x**5 - 1/98*x**7 + 0*x**2 + 1/14*x**3. Suppose l(j) = 0. Calculate j.
-1, 0, 1
Suppose -1/4*d**3 - 16 + 1/4*d**2 + 16*d = 0. What is d?
-8, 1, 8
Let o(m) be the first derivative of m**8/840 + m**7/105 + m**6/90 - m**5/15 - m**4/4 + 50*m**3/3 + 96. Let l(q) be the third derivative of o(q). Factor l(k).
2*(k - 1)*(k + 1)**2*(k + 3)
Let y(k) be the first derivative of k**6/2700 - k**5/300 + k**4/90 + 2*k**3/3 + 16*k**2 + 12. Let s(x) be the third derivative of y(x). Factor s(z).
2*(z - 2)*(z - 1)/15
Let z(p) = -8*p**2 - 14352*p - 12802092. Let h(n) = -17*n**2 - 28714*n - 25604186. Let o(m) = -4*h(m) + 9*z(m). Factor o(f).
-4*(f + 1789)**2
Let m(u) = -483*u - 8*u**2 - 484*u + 9 + 968*u. Let x(y) = 2*y**2 - 4*y**2 + 3 - y**2 + 0. Let l(h) = -6*m(h) + 17*x(h). Factor l(s).
-3*(s + 1)**2
Let c(h) be the first derivative of -h**4/4 + 88*h**3/3 - 2301*h**2/2 + 15210*h + 757. Suppose c(z) = 0. What is z?
10, 39
Suppose 908*u - 900*u - 5232 = 0. Find n such that -1435*n**4 + u*n**4 - 290*n**2 + 185*n + 210*n**3 + 716*n**4 - 45 + 5*n**5 = 0.
1, 9
Let q(c) be the second derivative of -28/3*c**3 + 2*c + c**4 + 3 + 16*c**2. Solve q(k) = 0 for k.
2/3, 4
Let b be -2*5/10 - -5. Find t, given that -19*t - 5*t - b*t**2 + 22 + 17 + 7 + 18 = 0.
-8, 2
Let m = -9369/1030 + 1915/206. Suppose 4/5*i - 2/5*i**2 - m*i**3 + 1/10*i