+ 248)
Suppose 3/5*g**2 + 354/5*g + 10443/5 = 0. What is g?
-59
Let i(k) be the first derivative of -k**3 - 2991*k**2 - 2982027*k + 2705. Factor i(x).
-3*(x + 997)**2
Let -12 + 16*l**3 + 1/3*l**5 - 49/3*l + 22/3*l**2 + 14/3*l**4 = 0. Calculate l.
-9, -4, -1, 1
Let k(n) be the third derivative of -1 + 0*n**3 - 4/105*n**7 + 0*n**4 + 1/168*n**8 + 1/5*n**5 + 1/60*n**6 + 6*n**2 + 0*n. Factor k(y).
2*y**2*(y - 3)*(y - 2)*(y + 1)
Let p(b) be the first derivative of -1/2*b**3 - 3*b - 9/4*b**2 - 53. Factor p(g).
-3*(g + 1)*(g + 2)/2
Let 45555 - 8750 - 2*x**3 - 51844*x + 127872 + 39627 - 48500*x - 900*x**2 = 0. Calculate x.
-226, 2
Let l(j) = 16*j + 320. Let s be l(-20). Let a be (5 - s)*(-34)/(-102). Factor -4*n**2 + 4/3*n + 0 + a*n**3.
n*(n - 2)*(5*n - 2)/3
Let x(v) be the third derivative of v**8/84 + 136*v**7/105 + 67*v**6/30 + 1397*v**2. Factor x(w).
4*w**3*(w + 1)*(w + 67)
Let j(u) be the third derivative of 1/144*u**6 + 5/48*u**4 + 0 + 1/24*u**5 - 1/3*u**3 + 0*u - 13*u**2. Let x(l) be the first derivative of j(l). Factor x(z).
5*(z + 1)**2/2
Suppose c = -2*k + 2, 0*c - 5*c - 5 = 5*k. Let v be (-14)/21*18/c. What is z in -4*z**3 - z**3 - 3*z + 4*z + v*z**2 + z**3 = 0?
-1/4, 0, 1
Let s(k) be the first derivative of -5*k**4/4 + 50*k**3/3 + 715*k**2/2 - 7260*k - 2403. Suppose s(p) = 0. Calculate p.
-12, 11
Let w(m) = 3*m**2 + 85*m + 253. Let t be w(-25). Let i(f) be the third derivative of 0*f**t + 0*f - 9*f**2 + 0 + 1/28*f**4 + 1/140*f**5. Factor i(a).
3*a*(a + 2)/7
Let b(f) = -85*f**3 + 3940*f**2 + 16370*f - 75. Let j(z) = -7*z**3 + 328*z**2 + 1364*z - 6. Let y(u) = 2*b(u) - 25*j(u). Find n, given that y(n) = 0.
-4, 0, 68
Let o(l) be the first derivative of -2*l**3/9 - 509*l**2 + 3056*l/3 + 2192. Factor o(q).
-2*(q - 1)*(q + 1528)/3
Let m(y) be the second derivative of y**5/36 - 5*y**3/18 - 83*y**2/2 + 4*y + 12. Let x(u) be the first derivative of m(u). Factor x(i).
5*(i - 1)*(i + 1)/3
Let o(p) be the second derivative of p**4/84 - 191*p**3/3 + 255367*p**2/2 + 1834*p. Let o(q) = 0. What is q?
1337
Let w(o) = -80 - 28 + 4 - 107*o. Let r be w(-1). Factor -12/7*y**2 + 0 + 18/7*y + 2/7*y**r.
2*y*(y - 3)**2/7
Factor -5681300*s**3 - 98595*s**2 + 5681927*s**3 + 111909*s - 13940*s - s**4.
-s*(s - 313)**2*(s - 1)
Suppose 3*s - 312 = -306. Factor 586*c**s - 606*c**2 + c**3 - 18*c - 3*c**3.
-2*c*(c + 1)*(c + 9)
Let c(o) be the second derivative of 25*o**7/273 + 47*o**6/13 + 37*o**5/65 - 902*o**4/39 + 408*o**3/13 - 224*o**2/13 + 743*o. Let c(w) = 0. What is w?
-28, -2, 2/5, 1
Let x = -53796 - -53796. Factor 0*h + x + 4/5*h**5 - 4/5*h**2 - 4/5*h**3 + 4/5*h**4.
4*h**2*(h - 1)*(h + 1)**2/5
Let i(h) = h**3 + 61*h**2 + 180*h + 352. Let x be i(-58). Let j be 14/6 + 2/(-6). Let -1008*l + 1008*l + x - l**j = 0. Calculate l.
-2, 2
Factor 0 + 2/17*m**2 + 22/17*m.
2*m*(m + 11)/17
Let o be (17/(-3))/((-6)/(-288)*-4). Let u be (34/o)/(2/12*1). Factor 2*l**2 + 2*l**2 + 11*l**u + 3*l**3.
2*l**2*(7*l + 2)
Let m(y) be the first derivative of y**4/22 + 52*y**3/33 - 183*y**2/11 + 576*y/11 + 3183. Suppose m(d) = 0. Calculate d.
-32, 3
Let z(w) be the third derivative of 278/15*w**5 + 0 + 39*w + 2*w**2 + 94/3*w**3 + 187/6*w**4 + 86/105*w**7 + 91/15*w**6 - 1/84*w**8. Factor z(h).
-4*(h - 47)*(h + 1)**4
Suppose 56 = c + 27*c. Suppose -c = -6*b + 10. Determine f so that 0*f + b*f**4 + 8/3 - 14/3*f**2 + 2/3*f**3 - 2/3*f**5 = 0.
-1, 1, 2
Let d(b) be the first derivative of -10 + 37*b + 1/6*b**3 + 1/18*b**4 + 0*b**2 - 1/60*b**5. Let p(k) be the first derivative of d(k). Factor p(a).
-a*(a - 3)*(a + 1)/3
Let z be (-98)/245*(-9010)/(-14). Let l = 258 + z. Suppose -l*n**2 + 2/7*n + 0 + 2/7*n**3 = 0. Calculate n.
0, 1
Let o(u) be the third derivative of 3/8*u**3 - 10*u**2 + 0*u - 3/80*u**5 + 3 + 1/96*u**4 - 1/480*u**6. Factor o(h).
-(h - 1)*(h + 1)*(h + 9)/4
Let c(f) be the third derivative of f**8/672 - 347*f**7/84 + 231*f**6/8 - 1039*f**5/12 + 6925*f**4/48 - 577*f**3/4 + 9*f**2 + 116*f. What is i in c(i) = 0?
1, 1731
Let j(n) = 10*n**2 - 99*n - 1149. Let l(d) = -13213 - 52*d + 6*d**2 + 12063 - 46*d. Let m(a) = -2*j(a) + 3*l(a). Find o such that m(o) = 0.
-24
Factor 32*u**4 + 5*u**5 - 19 - 6*u**3 - 409*u**2 + 13*u**4 + u**3 + 420*u + 104*u**2 - 141.
5*(u - 1)**3*(u + 4)*(u + 8)
Let i(o) = -o**2 - 4*o**2 - 1 + 3 + 3. Let y = 61 + -57. Let x(z) = z**3 - 6*z**2 + z + 4. Let v(c) = y*i(c) - 5*x(c). Let v(p) = 0. What is p?
0, 1
Let a be (42*((-28)/(-630))/2)/((-28)/(-40)). Let -a - 2*l - 2/3*l**5 + 0*l**4 + 8/3*l**3 + 4/3*l**2 = 0. Calculate l.
-1, 1, 2
Suppose 0 = 56*s - 52*s - 12. Suppose -4*f - 4*i = -2 - 2, -s = f + 3*i. Let -28*w - 2*w**4 + 98 - 96*w**2 - 85*w**3 + 50*w**f + 63*w**3 = 0. What is w?
-1, 1, 7
Factor -6*d**4 - 304*d**3 - 22808*d - 292*d**2 + 2*d**4 + 23408*d.
-4*d*(d - 1)*(d + 2)*(d + 75)
Suppose k = -25 + 34. Suppose j + 1 - 12 = -3*d, 0 = -3*d + k. Factor -3/4*p**j - 1/2*p - 1/4*p**3 + 0.
-p*(p + 1)*(p + 2)/4
Let l(m) = -m**4 + m**2 + m - 1. Let a(b) = b**5 - 6*b**4 - 12*b**3 - 9*b**2 + 39*b + 41. Let v(u) = 5*a(u) - 35*l(u). What is j in v(j) = 0?
-2, 2, 3
Let q(c) be the second derivative of 49 - 7/20*c**5 + 2*c + 0*c**6 + 2*c**3 + 1/6*c**4 - 4*c**2 + 1/42*c**7. Suppose q(m) = 0. Calculate m.
-2, 1, 2
Suppose 13 = -3*s + 37. Suppose 61 = -26*l + 87*l. Suppose l - 2 - 4*w**4 + 16*w**2 + 6*w - s*w**3 - 11 + 2*w = 0. What is w?
-3, -1, 1
Let m be (0/(0 - -2))/(-658 - -659). Solve 1/6*p**5 - 1/2*p**3 + m*p**4 - 1/3*p**2 + 0 + 0*p = 0.
-1, 0, 2
Let n(v) be the second derivative of v**5/30 + v**4/15 + 30*v**2 + 3*v - 21. Let i(o) be the first derivative of n(o). Suppose i(f) = 0. What is f?
-4/5, 0
Let k(o) = 3*o**2 - 20*o + 56. Let y be k(3). Factor 20*v**2 + 0 - 24*v**3 + 24*v + y*v**2 - 11*v**2 - 28 - 4*v**4.
-4*(v - 1)**2*(v + 1)*(v + 7)
Let m(r) = 8*r**4 - 390*r**2 + 2424*r - 3334. Let k(a) = -19*a**4 + a**3 + 780*a**2 - 4849*a + 6669. Let y(x) = -2*k(x) - 5*m(x). Factor y(d).
-2*(d - 7)**2*(d - 2)*(d + 17)
Let i(p) be the second derivative of 0 - 13/50*p**6 + 63/50*p**5 - 27/10*p**2 + 93*p - 29/10*p**4 + 37/10*p**3 + 1/70*p**7. Factor i(v).
3*(v - 9)*(v - 1)**4/5
Let 48844341 - 41073574*q - 3*q**4 + 6909847*q - 459675*q**2 + 21338157 - 2037*q**3 = 0. Calculate q.
-227, 2
Factor -3356759*s**3 - 9*s**2 + 3356762*s**3 - 263 - 282*s - 241.
3*(s - 12)*(s + 2)*(s + 7)
Suppose 2*k = -4*f, 0*f + 26 = -5*f + 4*k. Let i be (-1595)/(-986) + f/17. Find v such that -i*v + 0 - 3/4*v**2 - 9/4*v**5 + 15/4*v**3 + 3/4*v**4 = 0.
-1, -2/3, 0, 1
Let z(r) be the second derivative of -r**6/150 - 3*r**5/50 + 19*r**4/60 + 4*r**3/5 + 2523*r - 2. Factor z(q).
-q*(q - 3)*(q + 1)*(q + 8)/5
Let p be (-87)/56*57840/(-10845). Factor -18/7*w**3 + p*w**2 - 48/7*w + 8/7.
-2*(w - 2)*(w - 1)*(9*w - 2)/7
Let k(o) be the first derivative of 25/3*o**4 - 2*o**5 + 20*o + 2/15*o**6 + 0*o**3 + 0*o**2 - 20. Let q(r) be the first derivative of k(r). Factor q(y).
4*y**2*(y - 5)**2
Let t(n) = -n**3 + 308*n**2 - 295*n - 619. Let p(x) = -x**2 - x + 3. Let h(j) = -15*p(j) - 3*t(j). Factor h(f).
3*(f - 302)*(f - 2)*(f + 1)
Let j be 7 - (-9 + 15 + -3 + (4 - 0)). Let x(m) be the second derivative of j*m**2 - 8*m - 3/5*m**5 - 1/10*m**6 + 0 + 3*m**3 - 1/4*m**4. Factor x(w).
-3*w*(w - 1)*(w + 2)*(w + 3)
Let r(m) be the third derivative of 1/240*m**8 + 0 - 1/15*m**4 + 3/350*m**7 - 13/300*m**6 + m - 3/25*m**5 + 0*m**3 - 26*m**2. Determine p so that r(p) = 0.
-2, -1, -2/7, 0, 2
Let u(q) = 4*q**2 + 668*q - 1992. Let b(l) = 5*l**2 + 668*l - 1977. Let m(g) = -2*b(g) + 3*u(g). Factor m(r).
2*(r - 3)*(r + 337)
Let x(v) be the third derivative of -7*v**6/40 - 361*v**5/20 - 572*v**4 + 1014*v**3 - 4*v**2 - 44. Factor x(f).
-3*(f + 26)**2*(7*f - 3)
Let o(m) be the first derivative of -m**8/9240 - 3*m**7/1540 - m**6/132 - 7*m**5/660 - 7*m**3 - 38. Let z(f) be the third derivative of o(f). Factor z(k).
-2*k*(k + 1)**2*(k + 7)/11
Factor -74 + 368/5*k + 2/5*k**2.
2*(k - 1)*(k + 185)/5
Let 572*s - 393*s**4 + 144 + 264*s**4 + 480*s**2 - 300*s**3 + 196*s + 27*s**5 = 0. Calculate s.
-2, -1, -2/9, 2, 6
Let y(s) be the second derivative of -2*s + 2/3*s**3 - 1/10*s**5 + 16 + 1/6*s**4 + 0*s**2. Suppose y(x) = 0. What is x?
-1, 0, 2
What is m in 123*m + 612/5 + 3/5*m**2 = 0?
-204, -1
Let i(l) = -l**3 - 2*l**2 + 13*l + 4. Let k be i(-5). Factor -3