(m).
-3*(m + 634)**2
Let q(g) be the third derivative of g**7/140 - 11*g**6/16 - 361*g**5/40 - 305*g**4/16 - 3942*g**2. Factor q(a).
3*a*(a - 61)*(a + 1)*(a + 5)/2
Let g(r) be the first derivative of -4*r**3 + 0*r + 0*r**2 + 3/5*r**5 + 113 - 9/4*r**4. Suppose g(v) = 0. What is v?
-1, 0, 4
Let r(i) be the second derivative of i**5/90 + 35*i**4/54 + 104*i**3/9 + 92*i**2 + 1535*i. Factor r(g).
2*(g + 6)**2*(g + 23)/9
Suppose 3*a + 12 = 0, 17*v - 16*v - 19 = 5*a. Let y(t) = -3*t**3 - 5*t - 4. Let u be y(v). Factor 2/3*p**u + 2*p**3 + 0 + 2*p**2 + 2/3*p.
2*p*(p + 1)**3/3
Determine l so that 209*l - 208*l - 16 + 75*l**2 + 141*l = 0.
-2, 8/75
Let s be (1938/(-95) - -20)*(1212/(-9) - 2). Solve 304/3*a - 14/3*a**4 - 152*a**2 + 128/3 + s*a**3 = 0 for a.
-2/7, 2, 8
Let a(w) be the third derivative of -w**6/60 - 41*w**5/30 - 155*w**4/6 - 2*w**2 + 5158*w - 1. Suppose a(c) = 0. What is c?
-31, -10, 0
Let h = 603 - 591. Let l(n) = 2*n**3 + n**2 - 2*n + 1. Let f(i) = -15*i**3 - 81*i**2 + 174*i - 84. Let u(z) = h*l(z) + f(z). Factor u(a).
3*(a - 4)*(a - 3)*(3*a - 2)
Let 6*n**3 - 964*n**2 + 45957*n - 45741*n - 31*n**3 - 11*n**3 = 0. Calculate n.
-27, 0, 2/9
Suppose -69*m + 7404 = 86340. Let y be m/(-6760) - (-3)/5. Suppose y*g**2 + 14/13*g - 4/13 - 8/13*g**3 = 0. Calculate g.
-1, 1/4, 2
Suppose -4*p + 5*y - 188 = 2*y, -2*p - 4*y = 72. Let i be (-81)/729 + p/(-18). Factor 5/3*v**2 - 2/3 + 4/3*v**3 - i*v.
(v - 1)*(v + 2)*(4*v + 1)/3
Let s(b) be the third derivative of 4/175*b**7 + 0*b**3 + 1/560*b**8 + b**2 + 8*b + 3/50*b**5 + 0*b**4 + 0 + 13/200*b**6. Factor s(q).
3*q**2*(q + 1)**2*(q + 6)/5
Let w(t) = 33*t**2 - 9*t**3 + 100*t - 58*t - 52*t. Let v(x) = 26*x**3 - 98*x**2 + 28*x. Let i(z) = 5*v(z) + 14*w(z). Find u, given that i(u) = 0.
0, 7
Let v be ((-45)/12*(-178)/445)/(((-840)/16)/(-5)). Factor -6/7 - 1/7*p**3 - p**2 + 13/7*p + v*p**4.
(p - 2)*(p - 1)**2*(p + 3)/7
Suppose 22*i = 2*s + 31*i + 63, 3*s - 2*i - 14 = 0. Factor 0 + s*g + 0*g**2 + 0*g**4 + 1/3*g**5 - 1/3*g**3.
g**3*(g - 1)*(g + 1)/3
Let h(v) = -6*v**3 - 24*v**2 + 174*v - 296. Let o(a) = 11*a**3 + 46*a**2 - 352*a + 593. Let u(j) = -7*h(j) - 4*o(j). Find q, given that u(q) = 0.
-15, 2, 5
Suppose 0 = -4*q - 595*n + 600*n - 20, 5*q = -n + 33. Solve -q + 2/3*s + 1/3*s**2 = 0.
-5, 3
Let b be (-7)/2*(117/(-21) - -5). Let -10*c**b - 6*c - 8 - 15*c**2 + 35*c**2 - 11*c**2 = 0. What is c?
-4, -2
Suppose 556*l = 578*l. Let i be 15/(-18) + 49 + -48. Find m such that i*m**3 + 1/6*m**2 + 0 + l*m = 0.
-1, 0
Suppose -1/3*n**3 + 2/3*n - 5/3*n**2 + 8 = 0. Calculate n.
-4, -3, 2
Suppose -7 = -3*w - 1. Factor -o**2 + 3*o - 201*o**3 - o**2 + 197*o**3 + o**5 + w.
(o - 2)*(o - 1)*(o + 1)**3
Suppose 18446 = 12*q - 1714. Let l be (120/q)/((-1)/(-4)*1). Factor l*f**3 + 2/7*f + 0 + 4/7*f**2.
2*f*(f + 1)**2/7
Let r(w) = -2*w**2 - 22*w + 16. Let u(d) = d**2 + 21*d - 16. Suppose -5*b = -3*j + 14, -4*j + 8 = -0*j + 4*b. Let m(v) = j*r(v) + 4*u(v). Factor m(a).
-2*(a - 8)*(a - 1)
Factor -372/13*v + 0 + 1606/13*v**2 + 2*v**3.
2*v*(v + 62)*(13*v - 3)/13
Factor -12516*l**2 - 12542*l**2 + 378*l + 3*l**4 + 25151*l**2 - 42*l**3.
3*l*(l - 9)*(l - 7)*(l + 2)
Let d be 2/3 + (-3532)/(-36)*-3. Let z = d + 294. Factor 0 + z*r**2 + 0*r.
r**2/3
Let v = -384 - -550. Suppose -155*c + v*c = 33. Factor 0*t + 0 + 1/2*t**4 + 32*t**2 - 8*t**c.
t**2*(t - 8)**2/2
Let l(q) = -q**3 + q**2. Let z(c) = -11*c**3 + 981*c**2 + 1965*c + 985. Let w(n) = 6*l(n) - z(n). Factor w(d).
5*(d - 197)*(d + 1)**2
Let d(m) be the second derivative of -m**5/14 + m**4/2 + m**3 - 5*m**2/7 + 131*m + 3. Factor d(s).
-2*(s - 5)*(s + 1)*(5*s - 1)/7
Suppose -31*a = -436 - 215. Let h be (12/a)/(-2)*-1. Factor h*f**3 - 10/7*f - 6/7 - 2/7*f**2.
2*(f - 3)*(f + 1)**2/7
Factor 2442264 - 1914*d + 3/8*d**2.
3*(d - 2552)**2/8
Let x = -555773/11 + 50525. Factor x*y**2 + 20/11 + 14/11*y.
2*(y + 2)*(y + 5)/11
Let y(h) be the third derivative of 0*h + 1/64*h**8 + 0*h**4 + 5 - 69/140*h**7 - 1/4*h**6 + 7*h**2 + 0*h**5 + 0*h**3. Determine i, given that y(i) = 0.
-2/7, 0, 20
Let m be (5/(-22)*-11)/((-2)/(-476)). Let g = 595 - m. Find x, given that 0 - 2/5*x**5 + g*x**3 + 0*x**2 + 2/5*x**4 + 0*x = 0.
0, 1
Suppose -26 = -5*n - 4*o, -2*n - 3*o + 8*o - 16 = 0. Find s, given that -2*s + 11321*s**2 - 11334*s**n - 8*s**3 - s**4 - 4*s = 0.
-6, -1, 0
Let h(z) be the third derivative of 1/24*z**6 + 23/12*z**5 + 215/24*z**4 - 84*z**2 + 0 + 0*z + 35/2*z**3. Suppose h(j) = 0. What is j?
-21, -1
Suppose o = 3*p + 25 + 32, 0 = 3*p + 3. Solve -o*x + 5952*x**3 - 5892*x**3 + 40*x**2 - 22 + 2 - 20*x**4 - 6*x**5 = 0.
-5, -1, -1/3, 1, 2
What is z in 12/7*z**5 - 6752/7*z**2 + 4784/7*z**3 + 384*z + 0 - 152*z**4 = 0?
0, 2/3, 2, 84
Let m(b) be the third derivative of -b**7/280 - 17*b**6/80 - 317*b**5/80 - 13*b**4 + 96*b**3 + 2593*b**2. Let m(q) = 0. What is q?
-16, -3, 1
Let o = -376 - -18425/49. Let r = o + 142/245. Suppose 0 - r*l**3 - 6/5*l**2 - 3/5*l = 0. What is l?
-1, 0
Let j(m) = 3*m - 11. Let l be j(5). Factor 36545 - 16*c**2 + 4*c - 36545 - 16*c**l + 24*c**3 + 4*c**5.
4*c*(c - 1)**4
Let z(m) be the third derivative of m**7/4200 - m**6/80 - 2*m**5/25 - 23*m**4/12 + 100*m**2. Let o(r) be the second derivative of z(r). What is g in o(g) = 0?
-1, 16
Let f(m) be the first derivative of m**4/26 - 27*m**2/13 - 108*m/13 - 5655. What is i in f(i) = 0?
-3, 6
Let c(o) be the second derivative of -2*o**7/105 - 12*o**6/25 + 39*o**5/25 - 4*o**4/3 - 158*o. Solve c(r) = 0.
-20, 0, 1
Let i(a) be the first derivative of 0*a**2 - 12 + 0*a - 2/57*a**3. Factor i(b).
-2*b**2/19
Let d(q) = -q**3 - 3*q**2 - q + 3. Let o be d(-4). Let s = 27 - o. Factor -2 + 3 + f**2 + 288*f - s*f**2 - 290*f.
-(f + 1)*(3*f - 1)
Let i be (-228)/336 + (-5 + 102/24)/(12/(-20)). Determine x, given that i*x**2 - 4/7*x + 0 = 0.
0, 1
Suppose -252*r - 156 = -330*r. Determine y, given that -4/7*y**r - 12/7*y - 8/7 = 0.
-2, -1
Let q = 2448/11 + -12207/55. Suppose -78/5*w**4 + q + 24/5*w**5 - 3/5*w + 87/5*w**3 - 33/5*w**2 = 0. What is w?
-1/4, 1/2, 1
Let m = -1989 - -1993. Let r(h) be the first derivative of 20/3*h**3 + 0*h - 19 - 2*h**2 - 4*h**m. Determine t so that r(t) = 0.
0, 1/4, 1
Let j(r) be the first derivative of r**5/120 - 5*r**4/24 + 4*r**3/3 - 26*r**2 - 2*r + 50. Let w(a) be the second derivative of j(a). Factor w(k).
(k - 8)*(k - 2)/2
Suppose -125*q = -12 + 12. Let l(h) be the second derivative of -25*h - 5/6*h**4 + q*h**2 + 0*h**3 + 0 - 1/4*h**5. Solve l(a) = 0 for a.
-2, 0
Let p = 124 + -61. Suppose 26*d**4 + 6*d**3 - 71*d**2 + 2*d**3 + 10*d**5 + p*d**2 = 0. What is d?
-2, -1, 0, 2/5
Factor 3/4*q**2 + 131043/4 - 627/2*q.
3*(q - 209)**2/4
Let u(x) be the second derivative of 50*x**7/21 + 35*x**6/3 - 433*x**5/10 - 139*x**4/3 + 68*x**3/3 + 40*x**2 + 61*x + 61. Let u(a) = 0. What is a?
-5, -1/2, -2/5, 2/5, 2
Suppose -18 = -j - 23*q + 20*q, 4*j + 3*q - 18 = 0. Let k(m) be the first derivative of -4/3*m + 8/9*m**3 + 0*m**2 + 33 + j*m**4 - 4/15*m**5. Factor k(y).
-4*(y - 1)**2*(y + 1)**2/3
Let s = -116972091/244 + 479395. Let u = 4/61 + s. Suppose 9/4*b**2 + 1/2*b**4 - u*b + 1/4 - 7/4*b**3 = 0. What is b?
1/2, 1
Let o(n) = -2*n**2 - 23*n + 14. Let s be o(-12). Solve 49 - 2*a**3 - 17 - 14*a**2 - s*a + 4*a - 18*a = 0 for a.
-4, 1
Let f = 293 + -290. Factor 37*x**4 + 32*x**4 - 108*x**4 - 12*x - 18*x**2 - 12*x**3 + 36*x**4 - f.
-3*(x + 1)**4
Let u(z) = 187*z - 558. Let w be u(3). Let t(p) be the second derivative of 0*p**4 + 6*p + 0*p**6 - 3/160*p**5 + 0*p**2 + 1/112*p**7 + 0*p**w + 0. Factor t(g).
3*g**3*(g - 1)*(g + 1)/8
Let p = 79095/2 - 39543. Let b(c) be the second derivative of -1/4*c**4 + 2*c**3 + 0 - p*c**2 - 30*c. Determine v, given that b(v) = 0.
1, 3
Let v(s) be the third derivative of s**6/60 - 127*s**5/10 + 3040*s**4 - 36100*s**3/3 - 27*s**2 - 11*s. Factor v(x).
2*(x - 190)**2*(x - 1)
Let b = 433484 + -433481. Let 35/2*l**2 + 0 - 36*l**b - 13/6*l + 8/3*l**4 = 0. Calculate l.
0, 1/4, 13
Let j = 79597 + -318387/4. Determine u, given that 1/2*u - 1/4*u**2 + 0 - j*u**3 = 0.
-2, 0, 1
Suppose -2*s - 3*n + 8 = n, -n = 2. Suppose 5*b + 2*q = 35, -3*q + s + 13 = 4*b. Factor 75*k**3 + 35*k**4 + 45*k**2 - 3*k**5 + b*k**5 - k**5.
5*k**2*(k + 1)*(k + 3)**2
Let s(w) = w**2 + 3*w + 14. Let v be s(-4). Suppose -5*x + v = 4*x. Determine d so that -4*d**4 - 142*d