ivative of 1/40*f**5 + 0*f**2 - 10*f + k*f**3 + 1/24*f**4 + 0. Factor s(b).
b**2*(b + 1)/2
Let q = -42848 + 42850. Factor 1/4*c**q - 1/8*c**3 + 1/2*c - 1.
-(c - 2)**2*(c + 2)/8
Let f be (-354)/(-570) - ((-28)/(-20))/((-154)/(-22)). Suppose -f*v + 0*v**2 + 6/19*v**4 + 14/19*v**3 + 0 = 0. Calculate v.
-2, -1, 0, 2/3
Let u be (3*4/24)/(2/32). Suppose z - 3*z = -u. Find x such that 26*x - x**z - 2*x**3 - x**3 - 3*x**2 - 27*x = 0.
-1, 0
Let a be 211484/114660 + (-2 - 23/(-9)). What is h in 54/5*h - a*h**2 - 24/5 = 0?
1/2, 4
Let z(f) be the first derivative of f**5/2 - 10*f**4 + 60*f**3 - 160*f**2 + 200*f - 3628. Solve z(n) = 0.
2, 10
Let b(g) be the first derivative of -49*g**4/3 - 27664*g**3/9 - 15712*g**2/3 - 8960*g/3 - 9397. Determine n so that b(n) = 0.
-140, -4/7
Suppose 4*o + 55*b = 51*b + 20, 5*o + b - 5 = 0. Find u, given that o - 4/5*u**2 + 0*u = 0.
0
Find b such that -84*b**2 - 1/5*b**4 + 225 + 130*b + 54/5*b**3 = 0.
-1, 5, 45
Let y = 2675/10652 - 3/2663. Factor 3/2*u**2 + y + u**3 + 1/4*u**4 + u.
(u + 1)**4/4
Let b(x) = -x**2 - x + 1. Let w(g) = -3*g + 3*g**2 + 0*g - 3 + 4. Let s(h) = b(h) + w(h). Determine i so that s(i) = 0.
1
Suppose 29*k = -2*x + 35*k - 14, 4*x = k + 5. Factor -2/5*q**x + 16/5*q - 32/5.
-2*(q - 4)**2/5
Let x(b) be the first derivative of 9*b**4/4 - 49*b**3/2 + 63*b**2 - 54*b + 725. Determine z so that x(z) = 0.
2/3, 3/2, 6
Let t(p) be the second derivative of -5*p**8/336 + 5*p**7/42 - p**6/3 + p**5/3 + 34*p**2 + 2*p + 62. Let j(o) be the first derivative of t(o). Factor j(a).
-5*a**2*(a - 2)**2*(a - 1)
Let d be ((-2)/(-6)*-1)/(54112/(-40584)). Suppose 2*q + 13 = -5*j - 7, -5*q - 8 = 2*j. Factor -s**4 - 1/4*s**5 + q - d*s - 3/2*s**3 - s**2.
-s*(s + 1)**4/4
Let c(a) be the second derivative of a**6/6 - 10*a**5 + 745*a**4/12 - 455*a**3/3 + 180*a**2 + 3*a + 543. Factor c(s).
5*(s - 36)*(s - 2)*(s - 1)**2
Let q be (1 - 1)/(1 + (3 - 5)). Determine x so that 114*x**3 + q*x**4 + 3*x**4 - 99*x**3 = 0.
-5, 0
Let z be 64/3 + (-15)/45. Let p(t) = t**2 - 21*t + 8. Let m be p(z). Factor -12*h + 5 - 8 + m*h**2 - 5.
4*(h - 2)*(2*h + 1)
Let j(v) be the first derivative of 2*v**3/39 + 120*v**2/13 + 7200*v/13 + 1845. Factor j(o).
2*(o + 60)**2/13
Let g be 71/(2059/377) + 282/(-22). Suppose -8/11*a + 10/11 - g*a**2 = 0. Calculate a.
-5, 1
Let k(c) be the second derivative of 16*c + 1/1440*c**6 - 1/288*c**4 + 10*c**2 + 0 + 0*c**3 + 0*c**5. Let f(i) be the first derivative of k(i). Factor f(w).
w*(w - 1)*(w + 1)/12
Let m(f) be the first derivative of f**5/5 + 23*f**4/4 - 29*f**3/3 - 123*f**2/2 - 72*f - 2278. Determine c so that m(c) = 0.
-24, -1, 3
Suppose 256*l - 424*l**2 - 165/2*l**4 + 302*l**3 - 56 + 9/2*l**5 = 0. Calculate l.
2/3, 1, 2, 14
What is x in -1010*x - 1020100 - 1/4*x**2 = 0?
-2020
Suppose 7*n - 87 - 123 = 0. Determine f so that 17*f - 31*f + 5*f**2 - n + 10*f + 9*f = 0.
-3, 2
Let v be (6/9 - 2/3)/2. Let g be v + 7 + -6 + 3. Determine j, given that -11*j**2 - 3*j**3 + g*j**3 - 5*j**3 - j**2 + 16 = 0.
-2, 1
Let c be 2/(-1) + -34 + 39. Solve 3*z**4 + z**3 - 103*z**2 + 101*z**2 - z**c + 3*z**3 - 2*z**5 = 0.
-1, 0, 1/2, 2
Let r(f) be the second derivative of -4/5*f**5 + 2/3*f**4 + 0*f**2 + 2*f**3 + 0 - 45*f - 4/15*f**6 + 2/21*f**7. Factor r(x).
4*x*(x - 3)*(x - 1)*(x + 1)**2
Suppose 0 = -5*b + o + 12, -3*b = 6471*o - 6470*o - 4. Factor -1/2*i**b - 23 - 25/2*i.
-(i + 2)*(i + 23)/2
Let a = -9/1345 - -162763/2690. Find z, given that -23/2*z**3 - 143/2*z**2 + 0 - a*z - 1/2*z**4 = 0.
-11, -1, 0
Factor 2/11*u**3 + 284/11 + 148/11*u**2 + 430/11*u.
2*(u + 1)*(u + 2)*(u + 71)/11
Let w be 450/945*(-14)/(-30). Let g(h) be the first derivative of -7/3*h**4 - 21 + 0*h**2 - 4/3*h**5 - 4/3*h**3 - w*h**6 + 0*h. Factor g(p).
-4*p**2*(p + 1)**2*(p + 3)/3
Factor -750/17*o + 44 + 2/17*o**2.
2*(o - 374)*(o - 1)/17
Let b(k) be the second derivative of -k**7/252 + 7*k**6/60 - 19*k**5/60 + 2*k - 741. Factor b(z).
-z**3*(z - 19)*(z - 2)/6
Factor 538/19 - 2/19*g**2 - 536/19*g.
-2*(g - 1)*(g + 269)/19
Factor 5 - 4*h**3 - 22 - 9 + 44*h - 22 + 8*h**2.
-4*(h - 4)*(h - 1)*(h + 3)
Let l be ((-10)/(-3))/(120/432). Let q be (-12)/16*-2*16/l. Solve -1/5*i**3 + 0*i**q + 0 + 1/5*i = 0 for i.
-1, 0, 1
Let f be (735/243 + -3)/((-2334)/(-21006)). Solve -f*l**4 - 16/9*l + 0 - 8/3*l**2 - 4/3*l**3 = 0.
-2, 0
Let a be (-36)/(-108)*(-11 - -15). Solve 568/3*m - 20164/3 - a*m**2 = 0.
71
Let w be -30*(-25)/375*1*6. Suppose b + 7*q + 20 = w*q, 0 = -3*q + 12. Suppose 1/2*n**4 + 0*n**3 + b - 3/2*n**2 - n = 0. Calculate n.
-1, 0, 2
Let v(s) be the third derivative of s**6/60 + 676*s**5/15 - 4*s**2 - 16*s. Factor v(b).
2*b**2*(b + 1352)
Let o = 83 - 27. Let h = 59 - o. Factor 4*x + 8*x + 4*x - 2*x**h - 4*x**4 - 10*x**3.
-4*x*(x - 1)*(x + 2)**2
Let y(t) be the third derivative of -45*t**2 + 1/100*t**6 + 4/75*t**5 - 1/840*t**8 - 2/525*t**7 + 0*t + 0*t**3 - 2 + 1/15*t**4. Suppose y(i) = 0. Calculate i.
-2, -1, 0, 2
Let v(y) = -y**5 - 3*y**4 - y**3. Let t(k) = 8*k**5 + 44*k**4 + 73*k**3 + 10*k**2 - 75*k - 45. Let u(d) = t(d) + 3*v(d). Find b such that u(b) = 0.
-3, -1, 1
Let o = -778637/5 + 155729. Let 20*p + 48/5 + o*p**2 = 0. Calculate p.
-12, -1/2
Let r(h) be the third derivative of -11/24*h**6 + 5/8*h**4 - 10*h**2 + 5/42*h**7 + 0*h**3 + 0*h + 0 - 13/12*h**5. Solve r(a) = 0.
-1, 0, 1/5, 3
Let c(d) be the first derivative of d**4/5 - 92*d**3/15 - 2*d**2/5 + 92*d/5 - 539. Let c(r) = 0. Calculate r.
-1, 1, 23
Let c = 26205/581 - 3708/83. Factor 21 + c*a**2 + 6*a.
3*(a + 7)**2/7
Let d = 479 - 476. Factor 678 + 84*b**3 - 43*b**d + 765*b - 3 - 38*b**3 + 93*b**2.
3*(b + 1)*(b + 15)**2
Let i(f) be the first derivative of -f**3/12 + 11*f**2/4 - 57*f/4 - 795. Factor i(t).
-(t - 19)*(t - 3)/4
Let p be (-66)/(-20) - (-3)/6 - 116/145. Factor -1/6*w**5 + 2*w + 1/3*w**2 + w**4 - 11/6*w**p - 4/3.
-(w - 2)**3*(w - 1)*(w + 1)/6
Suppose 0 = 7*o - 2*o - 15. Let x be -3*(-72)/(-27) + 42. Determine f so that x + 6*f**2 + 3*f**3 + o*f - 34 + 0*f = 0.
-1, 0
Let u(i) be the third derivative of i**6/720 + 7*i**5/120 + 95*i**4/144 + 25*i**3/12 + 9*i**2 - 20. Factor u(c).
(c + 1)*(c + 5)*(c + 15)/6
Suppose -10998 = -3302*z + 770*z + 19386. Let -z*k + 1/5*k**4 + 36/5 + 37/5*k**2 - 2*k**3 = 0. Calculate k.
2, 3
Let y(m) be the first derivative of -5/3*m**3 + 322 - 60*m - 65/2*m**2. Solve y(n) = 0.
-12, -1
Let i(j) be the first derivative of j**6/1020 - j**5/255 - j**4/51 + 8*j**3/51 + 6*j**2 - 25. Let u(o) be the second derivative of i(o). Factor u(w).
2*(w - 2)**2*(w + 2)/17
Let w(b) = 3*b**2 + 16*b + 15. Suppose 7*p + 16 = 23*p. Let d(q) = q**2 + 2*q - 1. Let t(u) = p*w(u) - 5*d(u). Solve t(n) = 0.
-2, 5
Let f(j) be the third derivative of -j**2 + 16 - 1/600*j**6 + 1/24*j**4 + 0*j - 1/5*j**3 + 1/150*j**5. Let f(b) = 0. Calculate b.
-2, 1, 3
Let l = -2013 + 2015. Suppose 1/2*u**4 + 0*u + 15/4*u**5 + 1/2*u**l + 0 - 11/4*u**3 = 0. What is u?
-1, 0, 1/5, 2/3
Let l = -65 - 175. Let o be 7/5 - 16/(l/(-9)). Solve -p - 2/5 + o*p**3 + 1/5*p**5 + 4/5*p**4 - 2/5*p**2 = 0.
-2, -1, 1
Let c(m) be the third derivative of -87*m**6/28 + 2311*m**5/210 + 149*m**4/21 + 4*m**3/21 - 243*m**2 - m + 1. Let c(f) = 0. Calculate f.
-2/9, -1/145, 2
Let x = 156 - 152. Suppose 2*k - 38 = -2*w, 9*k = 4*k - w + 99. Factor -12*i**5 - 35*i**2 + 17*i**2 + k*i**4 + 14*i**2 - x*i**3.
-4*i**2*(i - 1)**2*(3*i + 1)
Let n be 2/(-3) - (-102)/18. Factor 0*q**4 - 4*q**4 + 4*q**2 + 4*q**n + 12 - 12 - 4*q**3.
4*q**2*(q - 1)**2*(q + 1)
Factor 249*o - 4*o**2 + 118*o + 317*o.
-4*o*(o - 171)
Let w(d) be the third derivative of d**6/24 + 105*d**5/4 + 40545*d**4/8 - 126405*d**3/2 - 9*d**2 - 28*d - 4. Factor w(g).
5*(g - 3)*(g + 159)**2
Let a = -222513 + 890055/4. Let r be 6/(-15) + 19/10. Factor r + 3/4*v**2 - 1/4*v**4 - a*v**3 + 11/4*v.
-(v - 2)*(v + 1)**2*(v + 3)/4
Let q(b) be the third derivative of b**6/180 - b**5/4 - 4*b**4/3 + 49*b**3/3 - 212*b**2. Let v(j) be the first derivative of q(j). Solve v(d) = 0 for d.
-1, 16
Let w(l) be the second derivative of -l**4/54 + 104*l**3/27 + 35*l**2/3 - 12*l - 4. Factor w(o).
-2*(o - 105)*(o + 1)/9
Let n(y) be the third derivative of -y**8/420 - y**7/70 + 2*y**5/15 - 13*y**3/3 + 85*y**2. Let q(a) be the first derivative of n(a). Factor q(w).
-4*w*(w - 1)*(w + 2)**2
Let g be (-17)/(-187)*-88 + (-22)/(-2). Factor 