at is c?
-2/7, 4, 19
Let w = 19772 - 19769. Let n(g) be the first derivative of 3/5*g**5 - 7/4*g**4 + 29 + 2/3*g**w + 0*g + 0*g**2. Factor n(b).
b**2*(b - 2)*(3*b - 1)
Factor -d**4 - 4 + 15403*d - 26*d**3 + 4 - 23*d**2 - 15353*d.
-d*(d - 1)*(d + 2)*(d + 25)
Let w = 144731/2 - 72365. Determine m, given that -315*m**2 - 1666*m - 43/2*m**3 - w*m**4 - 1372 = 0.
-14, -1
Let i(f) be the third derivative of f**6/270 - 104*f**5/135 + 2989*f**4/54 - 9604*f**3/9 - 376*f**2 + 2*f. Factor i(j).
4*(j - 49)**2*(j - 6)/9
Suppose -351402 + 350926 + 4*i**2 + 0*i**2 - 472*i = 0. What is i?
-1, 119
Let r(p) be the second derivative of -p**5/20 - 9*p**4/4 + 25*p**3/6 - 41*p**2 - 47*p + 2. Let h be r(-28). Factor 6*b - 27/5*b**h + b**3 - 8/5.
(b - 4)*(b - 1)*(5*b - 2)/5
Let c(o) be the third derivative of o**5/15 - 27*o**4/2 - 1232*o**3/3 + 4316*o**2. Determine j so that c(j) = 0.
-7, 88
Let i(r) be the second derivative of -5/3*r**3 + 0 + 0*r**2 + 1/180*r**5 + 8*r - 1/540*r**6 + 0*r**4. Let z(d) be the second derivative of i(d). Solve z(o) = 0.
0, 1
Let z(r) be the first derivative of -r**4/4 - 35*r**3/12 - 71*r**2/8 + 5*r - 978. Factor z(b).
-(b + 4)*(b + 5)*(4*b - 1)/4
Let y(c) be the second derivative of 1/189*c**7 + 2/9*c**2 + 0 - 1/45*c**5 + 2/135*c**6 + 1/27*c**3 - 98*c - 2/27*c**4. Let y(q) = 0. What is q?
-2, -1, 1
Let h(v) be the first derivative of -v**3 + 51*v**2/2 + 180*v + 1237. Suppose h(q) = 0. What is q?
-3, 20
Suppose -24/5*u**4 + 45*u**3 + 168/5*u - 366/5*u**2 + 0 - 3/5*u**5 = 0. Calculate u.
-14, 0, 1, 4
Let j(f) be the first derivative of f**3/36 + f**2/4 - 4*f/3 + 183. Find c such that j(c) = 0.
-8, 2
Let u(q) = 13*q**3 - 35*q**2 - 36*q - 18. Let c(y) = -24*y**3 + 71*y**2 + 73*y + 33. Let f(k) = 6*c(k) + 11*u(k). Suppose f(r) = 0. What is r?
-1, 0, 42
Let s(r) be the third derivative of r**6/480 - 71*r**5/240 - 145*r**4/96 - 73*r**3/24 + 11166*r**2. What is d in s(d) = 0?
-1, 73
Suppose 15 = 124*b - 114*b - 5. Determine m so that 15/2*m**b + 9 + 33/2*m = 0.
-6/5, -1
Suppose 44/3*f**3 - 3703/3*f + 8561/3*f**2 + 130 = 0. Calculate f.
-195, 2/11, 1/4
Solve -1245*v + 17*v**2 - 72*v**2 - 38 + 121 + 377 = 0.
-23, 4/11
Let l = 11273/26 - 4174/13. Let r(x) be the first derivative of 15/2*x**3 + 29 + 3/16*x**4 + 750*x + l*x**2. Suppose r(o) = 0. What is o?
-10
Suppose 4*b = 4*f + 5469 - 5457, 3*b = -5*f - 15. Factor -36/5*i**3 - 5*i - 12*i**2 + b.
-i*(6*i + 5)**2/5
Let n = 484353/345965 + -2/345965. Factor 8/5*f**2 - 1/5*f**4 - n + 6/5*f**3 - 6/5*f.
-(f - 7)*(f - 1)*(f + 1)**2/5
Let x = 845989 + -845984. Factor 0*i**3 + 16/3*i - 1/3*i**x + 4/3*i**4 + 0 - 16/3*i**2.
-i*(i - 2)**3*(i + 2)/3
Let d(z) be the third derivative of z**5/12 + 25*z**4/4 + 375*z**3/2 - 723*z**2. Factor d(s).
5*(s + 15)**2
Let m(l) be the first derivative of l**4/28 + 4*l**3/21 - 58*l**2/7 - 240*l/7 - 4008. Factor m(g).
(g - 10)*(g + 2)*(g + 12)/7
Let r(s) be the first derivative of -s**4/10 - 122*s**3/15 + 38*s**2 - 256*s/5 - 5665. What is i in r(i) = 0?
-64, 1, 2
Let x = 39 - -5. Determine u so that 8*u**2 + 54 - 63 + x*u - 4*u**3 - 39 = 0.
-3, 1, 4
Let w(j) be the second derivative of 5*j**8/336 - j**7/70 - j**6/24 + j**5/20 - 35*j**2/2 - 19*j - 1. Let f(s) be the first derivative of w(s). Factor f(x).
x**2*(x - 1)*(x + 1)*(5*x - 3)
Find l, given that -14092*l**2 - 2*l**4 + 1344*l + 276*l**3 - 59 - 204 + 13010*l**2 - 273 = 0.
1, 2, 134
Determine v, given that 363*v - 122*v**2 - 113*v - 99*v**2 + 86*v**2 + 5*v**3 = 0.
0, 2, 25
Let j(x) be the second derivative of 1 + 18*x**2 - 1/3*x**4 + 145*x + 0*x**3. Solve j(h) = 0 for h.
-3, 3
Let -28*l - 156*l - 68*l**2 - 1749 + 521*l + 725 + 303*l + 2*l**3 = 0. Calculate l.
2, 16
Let l(o) be the first derivative of -o**5/300 - 53*o**4/120 - 34*o**2 - 2*o - 145. Let u(y) be the second derivative of l(y). Suppose u(t) = 0. Calculate t.
-53, 0
Let g = -5749/3 - -1919. Let m(w) be the first derivative of -w**2 - 11 + 0*w + g*w**3. Factor m(v).
2*v*(4*v - 1)
Suppose 1703 + 753*u + u**2 - 4*u**2 + 316 + 1263*u = 0. Calculate u.
-1, 673
Let t(j) be the second derivative of j**4/16 + 41*j**3/4 - 504*j**2 - j - 506. Let t(g) = 0. What is g?
-96, 14
Let i(z) = -2*z - 3. Let o be i(-4). Suppose -2352 = 10*b - 2402. Determine j, given that o*j**2 + 37*j - 15*j - 22*j + b*j**3 = 0.
-1, 0
Let a(r) be the first derivative of 22/3*r**2 + 16*r - 4/9*r**3 - 147. Solve a(s) = 0.
-1, 12
Let g be ((-2009)/3)/(60390/(-135)). Let w = g - -2/671. Find y such that w*y**2 - 15/2*y + 6 = 0.
1, 4
Let b = 429 + -426. Determine t so that 104 - 291*t - 164 + 11*t - t**b - 340 - t**3 - 44*t**2 = 0.
-10, -2
Let r be ((-16)/10)/((-4)/5). Factor 12*m**2 + 0*m**3 + m**3 + 4*m**4 - 9*m**3 - 4*m - 2*m**3 - r*m**3.
4*m*(m - 1)**3
Let i(d) be the third derivative of -d**7/6300 + 17*d**6/1800 - 4*d**5/75 - 5*d**4/12 + 166*d**2. Let g(z) be the second derivative of i(z). Factor g(p).
-2*(p - 16)*(p - 1)/5
Let l be ((-483)/(-46))/((-903)/(-172)). Suppose 3/4*g**l + g**3 - 1/4*g + 0 = 0. Calculate g.
-1, 0, 1/4
Factor 490 - 2453/3*h + 5/3*h**2.
(h - 490)*(5*h - 3)/3
Let y be (87/406)/((-2)/(-28)). Solve -65*b**2 + 5*b**4 + 46*b**4 - 18*b**y - 6*b**5 + 14*b**2 + 24*b = 0 for b.
-1, 0, 1/2, 1, 8
Let s(t) be the third derivative of 1/40*t**6 + 7*t**2 + 0*t + 0*t**3 + 1/4*t**4 + 1 + 3/20*t**5. Factor s(k).
3*k*(k + 1)*(k + 2)
Let t(a) be the third derivative of -a**8/1176 + 8*a**7/735 - 5*a**6/84 + 19*a**5/105 - a**4/3 + 8*a**3/21 - 247*a**2. Factor t(v).
-2*(v - 2)**3*(v - 1)**2/7
Let s(v) = -v + 2. Let u be s(0). Suppose 0 = 4*z - 2*m - u, 3*z - 7 = 7*z - 5*m. Factor 4/5*l - 1/5*l**z + 0 - 4/5*l**3 + 1/5*l**4.
l*(l - 4)*(l - 1)*(l + 1)/5
Let i(m) be the second derivative of -m**4/12 - 175*m**3 - 275625*m**2/2 + 1289*m. Determine j, given that i(j) = 0.
-525
Let c = 96695 + -96693. Solve 6*l**3 + 21/2*l**c - 15 - 21/2*l = 0 for l.
-2, -1, 5/4
Let x = -1829 - -1831. Let c(z) be the second derivative of 0 + 1/3*z**4 - 18*z + 1/5*z**5 + 0*z**3 + 0*z**x. Factor c(i).
4*i**2*(i + 1)
Let d be (-7552)/5040 + 1 - ((-9)/6)/3. Let w(k) be the third derivative of -d*k**5 - 1/42*k**4 - 1/7*k**3 + 0 + 5*k**2 + 0*k. Find q such that w(q) = 0.
-3
Let x(f) = -5*f**2 + 2*f**3 + 6*f - 4*f - 3 - 9*f**2. Let q be x(7). Suppose q*s**3 + 10*s**4 + 35*s + 7*s**3 - 40*s**2 - 5*s**5 - 8*s**3 - 10 = 0. What is s?
-2, 1
Let u = 370/27 - 404807/29538. Let z = 4373/3282 - u. Solve -8/9*y**2 + z*y**3 + 2/9*y**5 + 0 - 8/9*y**4 + 2/9*y = 0 for y.
0, 1
What is h in -4000 + 20*h**3 - 2/5*h**4 - 330*h**2 + 2000*h = 0?
5, 20
Let w be 59/19 - (-72)/(-684). Let g = 712 + -3548/5. Factor 9/5*m**2 + 3/5*m**w + 0*m - g.
3*(m - 1)*(m + 2)**2/5
Suppose -z - 16 = 5*c, 2*c + 20 - 4 = 2*z. Let j be 0 + z - ((-10)/8)/5. Suppose -1/2 - 11/4*u - 5/4*u**4 - 21/4*u**2 - j*u**3 = 0. What is u?
-1, -2/5
Let h be ((-42)/3 + -28 + 32)*6/(-33 + 3). Solve -10*t - 12 + 2/3*t**3 + 8/3*t**h = 0.
-6, -1, 3
Suppose -y + 110 = 4*x + 23, 0 = 2*x + 5*y - 39. Determine f so that 12105*f + x + 72*f**2 + 2*f**4 - 35*f**3 - 12173*f + 7*f**3 = 0.
1, 11
Factor 132897 + 341*j**2 + 631*j**2 - 4440*j - 125697 + 3*j**4 - 90*j**3.
3*(j - 10)**2*(j - 6)*(j - 4)
Let k be (-88704)/(-87318) - 4/9. Solve -40/7*p - k*p**3 - 4*p**2 + 0 = 0 for p.
-5, -2, 0
Let i(d) be the first derivative of -3*d**4/4 - 29*d**3 + 255*d**2 + 4098. Factor i(s).
-3*s*(s - 5)*(s + 34)
Let m = -195/988844 - 40611543155/13955555372. Let s = -3/2566 - m. Factor -s*t**3 + 30/11*t + 4/11 + 48/11*t**2.
-2*(t - 2)*(4*t + 1)**2/11
Suppose 443 + 57 = 10*o. Let l be 48/o*(-5 + (-50)/(-8)). Factor l + 3/5*y**3 + 3/5*y**4 - 3/5*y - 9/5*y**2.
3*(y - 1)**2*(y + 1)*(y + 2)/5
Let g = -802456 - -4012288/5. Factor 2/5*h**5 - g*h**3 + 0 + 0*h**2 + 0*h**4 + 0*h.
2*h**3*(h - 2)*(h + 2)/5
Suppose 5*c = -4*h + 2249, -7*c + 1688 = 3*h - 2*c. Factor 12*x**3 + 9*x**2 - h*x**4 - 5*x**2 + 573*x**4 + 4*x**5.
4*x**2*(x + 1)**3
Let l(j) be the first derivative of 2*j + 1/102*j**4 - 15 - 1/51*j**3 + 0*j**2. Let b(a) be the first derivative of l(a). Factor b(h).
2*h*(h - 1)/17
Let x(n) be the second derivative of 9/10*n**5 + 1/2*n**3 - n**4 + 0 - 22*n - 2/5*n**6 + 1/14*n**7 + 0*n**2. Factor x(a).
3*a*(a - 1)**4
Let c = -71 - -72. Let n be (c - 5 - -2)/(-1). Find x, given that x**4 - 27*x - 18*x**3 + 12*x + 61*x**n