ivative of j(p). What is q in f(q) = 0?
-2, 0, 2
Let i(w) be the second derivative of -3*w**5/160 - 39*w**4/32 + 135*w**3/2 - 4425*w**2/4 + 5496*w. What is j in i(j) = 0?
-59, 10
Let y = 910026 + -910024. Suppose 5/3*i**y + 0 - 245/3*i = 0. What is i?
0, 49
Let v be 29/(-4 - 2/(-4)) - -10. Factor 2*r**2 - 26/7*r + v.
2*(r - 1)*(7*r - 6)/7
Let 5840*a + 9188*a + 31382404 + 9459*a + 4*a**2 + 2893*a - 4972*a = 0. What is a?
-2801
Let f(u) = -5*u**3 - 35*u**2 + 18*u + 360. Let l(j) = -70*j**3 - 490*j**2 + 255*j + 5040. Let n(g) = -55*f(g) + 4*l(g). Determine m so that n(m) = 0.
-6, -4, 3
Let f(j) = 12*j**3 - 39*j**2 + 228*j. Let z(q) = -q**3 - q**2 - 4*q. Let h(y) = f(y) + 9*z(y). Factor h(w).
3*w*(w - 8)**2
Let x(l) be the third derivative of -l**6/24 - 1117*l**5/4 - 6238445*l**4/8 - 6968343065*l**3/6 + 1471*l**2 + 2*l. Factor x(h).
-5*(h + 1117)**3
Let m(f) be the third derivative of f**7/3780 - f**6/405 + f**5/180 + 109*f**3/6 - f**2 - 13. Let h(j) be the first derivative of m(j). Factor h(w).
2*w*(w - 3)*(w - 1)/9
Let h(t) be the second derivative of -t**4/114 - 275*t**3/57 - 546*t**2/19 - 70*t - 18. Solve h(z) = 0.
-273, -2
Let v = -11933 + 35800/3. Let u(y) be the first derivative of 0*y - 4*y**2 + v*y**3 + 36. What is h in u(h) = 0?
0, 8
Let b be 0 + 2 + 5/(60/24). Let o(u) be the first derivative of 0*u**3 - u - 1/24*u**b - 2 + 7/12*u**2. Factor o(x).
-(x - 2)*(x - 1)*(x + 3)/6
Let x be -8 - (-39 + 3477/114). Factor 2*m**2 + 3/2*m**3 + x*m**5 - 2*m - 2*m**4 + 0.
m*(m - 2)**2*(m - 1)*(m + 1)/2
Suppose -2*w + 4*x = -22, 4*w - 28 = -3*x + 71. Suppose 25*c = w*c + 12. Solve 1344*i - 1343*i - 2*i**4 + c*i**4 + 3*i**3 + 3*i**2 = 0.
-1, 0
Let t be (9 - (13 + 2)) + -30*(-26)/32. Let d(n) be the second derivative of t*n**3 - 21/16*n**4 + 0 - 1029/8*n**2 + 3/80*n**5 - 17*n. Factor d(y).
3*(y - 7)**3/4
Let u(g) be the first derivative of -4/3*g**3 + 1/14*g**4 - 30 + 0*g + 13/7*g**2. Factor u(q).
2*q*(q - 13)*(q - 1)/7
Let s(a) be the third derivative of -a**5/12 - 3875*a**4/24 - 645*a**3 + 175*a**2 + 18*a - 1. Suppose s(o) = 0. What is o?
-774, -1
Let i(y) be the first derivative of 2*y**5/5 - 9*y**4/2 - 14*y**3 + 245*y**2 - 938. Suppose i(r) = 0. Calculate r.
-5, 0, 7
Let u(x) = 16*x + 264. Let j(v) = 8*v + 133. Let t(p) = 9*j(p) - 4*u(p). Let w be t(-17). What is o in 0*o - 1/3*o**4 - 1/6*o**3 + 1/6*o**w + 0 + 1/3*o**2 = 0?
-1, 0, 1, 2
Let f(j) be the second derivative of -1215*j**6/7 - 7344*j**5/7 - 37532*j**4/21 - 2176*j**3/21 - 16*j**2/7 - 5*j + 426. Factor f(m).
-2*(m + 2)**2*(135*m + 2)**2/7
Let m(o) be the first derivative of 0*o - 4*o**2 - 2/3*o**3 - 279. Suppose m(h) = 0. Calculate h.
-4, 0
Factor -13430/7*j**3 - 2/7*j**5 - 334/7*j**4 + 0 + 0*j + 43350/7*j**2.
-2*j**2*(j - 3)*(j + 85)**2/7
Suppose -4*q - 8*q + 24 = 0. Suppose 392*i - 5*i**q + 397*i - 320 - 869*i = 0. What is i?
-8
Let f(l) be the first derivative of l**3/6 - 861*l**2/4 - 3432. Suppose f(y) = 0. What is y?
0, 861
Let k(l) be the first derivative of -l**6 + 3*l**5/5 + 3*l**4/4 - 1002. Factor k(g).
-3*g**3*(g - 1)*(2*g + 1)
Let o = -210 - -213. Let -20*l**2 + o*l**3 + 2 - 10*l - 8*l**3 - 10*l - 2 = 0. What is l?
-2, 0
Let w(t) be the first derivative of -5*t**6/2 - 129*t**5/5 + 981*t**4/4 - 673*t**3 + 843*t**2 - 504*t - 168. Determine g, given that w(g) = 0.
-14, 1, 12/5
Suppose -t - 12 = -3*l, -2*l - 3*t - 3375 + 3383 = 0. Factor 14/11*v**2 - 2/11*v - 8/11*v**5 + 0 + 26/11*v**l - 30/11*v**3.
-2*v*(v - 1)**3*(4*v - 1)/11
Factor -13*r**2 + 46690 - 5*r**4 - 285*r + 65*r**3 - 22*r**2 - 46870.
-5*(r - 12)*(r - 3)*(r + 1)**2
Let l be ((-4)/(-26))/((-36271)/741 + 49). Factor 0*i + 3/2*i**l - 6 + 9/2*i**2.
3*(i - 1)*(i + 2)**2/2
Let s be (6/8)/((-2)/(-8)). Let n be (-23 + 2270/98)/((-52)/(-91)). Factor 0 - 2/7*f - 2/7*f**4 + n*f**2 + 2/7*f**s.
-2*f*(f - 1)**2*(f + 1)/7
Find c, given that -57*c**3 + 34*c**3 - 319*c - 15*c**3 + 945 + 935*c**2 + 43*c**3 - 1566*c = 0.
-189, 1
Let i(b) be the second derivative of 0 - 19/18*b**4 - 14/9*b**3 - 1/126*b**7 - 5/12*b**5 - 4/3*b**2 - 91*b - 4/45*b**6. Find g, given that i(g) = 0.
-2, -1
Let o(f) be the first derivative of -f**6/64 + f**5/80 + 5*f**4/16 - f**3/2 + f**2 + 7*f + 53. Let v(h) be the second derivative of o(h). Factor v(w).
-3*(w - 2)*(w + 2)*(5*w - 2)/8
Suppose -4/5*i**4 - 18496/5 - 19588/5*i**2 - 37536/5*i - 552/5*i**3 = 0. What is i?
-68, -1
Let r(f) be the third derivative of -f**5/15 + 277*f**4/6 + 372*f**3 - 1656*f**2 - 2*f. What is c in r(c) = 0?
-2, 279
Solve -2*m**2 + 4*m**2 - 329*m + 1082*m + 572450 + 550*m + 837*m = 0 for m.
-535
Let f be 362/13 + 76/494. Let j = 29 - f. Let 16*x**3 + 1 - 253*x**2 - 4*x**4 - j + 237*x**2 = 0. What is x?
0, 2
Let v(u) be the first derivative of -u**7/189 + u**5/18 - 4*u**3/27 + 207*u + 45. Let y(l) be the first derivative of v(l). Determine p, given that y(p) = 0.
-2, -1, 0, 1, 2
Let t(x) = 4*x**2 - 632*x - 654. Let j(n) = 13*n**2 - 1896*n - 1972. Let s(f) = -2*j(f) + 7*t(f). Solve s(a) = 0.
-1, 317
Suppose 0*x - 2*x = -2*j + 4, 3*x - 15 = 0. Suppose -g - 5*v = -j*v - 4, -5*v = -2*g + 9. Factor 5/2*p**g + 1/2*p + p**3 - 1.
(p + 1)*(p + 2)*(2*p - 1)/2
Let f(i) = -i**3 + 3*i + 2. Let k be f(-2). Determine u so that 50*u**3 - 104*u**2 + 26*u**2 + 23*u**4 + 15*u**k - 6*u**5 - 76*u**3 + 40 + 32*u = 0.
-1, -2/3, 1, 2, 5
Suppose 2*c - 45 = 5*o, 5*c - 8 - 57 = 3*o. Suppose -168 = c*f - 168. Factor 1/2*a**3 - 1/2*a + f + 0*a**2.
a*(a - 1)*(a + 1)/2
Let a be (-7749)/1435 - 344/(-60). Factor -9 - 3*j**2 - 9*j - a*j**3.
-(j + 3)**3/3
Let b be 51/5 + ((-4)/4)/5. Suppose -b*l = -12*l + f + 4, 0 = 3*l + 2*f + 8. Determine n so that 6/7*n**2 + l + 4/7*n + 2/7*n**3 = 0.
-2, -1, 0
Let b be 0*(4/18)/(2/(-3)). Let w(k) be the third derivative of 1/30*k**4 + 6*k**2 + 0*k + b - 1/150*k**5 + 0*k**3. Factor w(n).
-2*n*(n - 2)/5
Let n be 395/(-300) + 5/3. Let b = n + -3/20. Determine y so that b*y + 13/5*y**3 - 6/5*y**4 + 0 - 8/5*y**2 = 0.
0, 1/6, 1
Let i(a) be the first derivative of -4/3*a**3 + 6*a**2 + 15 - 1/3*a**4 + a. Let y(z) be the first derivative of i(z). Factor y(c).
-4*(c - 1)*(c + 3)
Factor -241/2 + 1/4*l**2 - 481/4*l.
(l - 482)*(l + 1)/4
Suppose 0 = 13*w - 641 + 95. Let j be w/24 + 1*(-3)/(-12). Factor -5/4*v**3 + 5 + 25/4*v**j - 10*v.
-5*(v - 2)**2*(v - 1)/4
Let q be (-12 - (-512)/80)*33/(-77). Factor -2*n - 2/5*n**2 + q.
-2*(n - 1)*(n + 6)/5
Suppose 8 = -2*b + 4*t, 4*b - 3*b = -4*t + 8. Suppose 5*c = -b*c + 25. Find u such that -1 + 9*u**4 - 3*u**c - 9*u + 6*u**3 - 7*u**5 - 2 + 13*u**5 - 6*u**2 = 0.
-1, 1
Suppose 11*m + 2 = 56 - 10. Let j(f) be the second derivative of 0 + 0*f**2 - 1/3*f**3 - 1/18*f**m - 20*f. What is x in j(x) = 0?
-3, 0
Let d(k) = 8*k**2 + 26*k + 54. Let v(g) = -g**2 + g - 2. Suppose -8*w - 309 = -21. Let b(p) = w*v(p) - 4*d(p). Determine y so that b(y) = 0.
-1, 36
Let i = -12427 - -12429. Find c, given that -2/7*c - 10/7*c**i + 10/7 + 2/7*c**3 = 0.
-1, 1, 5
Suppose -4*n + 1533 = -3167. Let k be (-2 - (-4 + 4)) + n/45. Find q, given that 0 + 196/9*q**4 + q + 26/3*q**2 + k*q**3 = 0.
-3/7, -1/4, 0
Let o(j) = -2*j**3 - 79*j**2 + 41*j + 43. Let x be o(-40). Determine q, given that -x*q**3 + q**2 - 25*q**2 + 16*q - q**3 + 12*q**2 = 0.
-4, 0, 1
Let s = -20879/6 + 6961/2. Let m(c) be the second derivative of 0 + 4/15*c**6 + 0*c**3 - s*c**4 + 0*c**2 - c - 2/21*c**7 + 1/5*c**5. Find d such that m(d) = 0.
-1, 0, 1, 2
Let u(k) = -k**2 + 7*k + 2. Let c be u(6). Suppose -c = 5*b - 23. Solve -2*t**3 + t**5 + 6*t**b - 2*t**3 - 3*t**4 = 0 for t.
0, 1, 2
Let n(i) = 33*i**2 + 10*i + 12. Let t be n(-1). Let r(q) = -q**2 + 23*q + 423. Let k be r(t). Factor -1 - 2/3*x**k + 4/3*x**2 - 1/3*x**4 + 2/3*x.
-(x - 1)**2*(x + 1)*(x + 3)/3
Factor -12*f**2 - 23/2*f**3 + 1/2*f**4 + 0*f + 0.
f**2*(f - 24)*(f + 1)/2
Factor 1/7*s**4 + 0 + s**3 + 9/7*s + 15/7*s**2.
s*(s + 1)*(s + 3)**2/7
Let o(v) be the second derivative of -v**5/50 + 7*v**4/30 + 28*v**3/15 + 4*v**2 + 2144*v. Factor o(t).
-2*(t - 10)*(t + 1)*(t + 2)/5
Let s be 16*-1*12/16. Let z(r) = -10*r**2 + 8*r + 30. Let f(h) = -4*h**2 + 3*h + 12. Let b(g) = s*f(g) + 5*z(g). Find w, given that b(w) = 0.
-1, 3
Let g(d) be the first derivative of -d**4/10 + 222*d**3/5 - 26871*d**2/5 - 57122*d - 5053. Factor g(u).
-2*(u - 169)**2*(u + 5)/5
Let z(w) be the third 