27*j**3 + 16/45*j**5 - 139 - 7/18*j**4 + 0*j**2. Factor n(a).
-2*a**2*(a - 1)**2*(3*a - 2)/9
Let m = 594 - 592. Let n(a) be the second derivative of 0 + 8*a + 3/16*a**4 - 1/4*a**3 - 3/80*a**5 + 0*a**m. Let n(f) = 0. What is f?
0, 1, 2
Let f(y) be the third derivative of y**8/1344 + y**7/105 + 23*y**6/480 + 7*y**5/60 + y**4/8 + 728*y**2. Suppose f(w) = 0. Calculate w.
-3, -2, -1, 0
Let b(c) be the third derivative of -c**5/20 + 51*c**4/4 + 103*c**3/2 - 89*c**2. Let b(n) = 0. What is n?
-1, 103
Let y(x) be the first derivative of 6*x**2 + 3/2*x**4 - 2 - 11/2*x**3 - 1/20*x**5 + 0*x. Let h(v) be the second derivative of y(v). Factor h(q).
-3*(q - 11)*(q - 1)
Let u be 1*(-3)/(-12)*5*-4. Let j be (u/(-15))/(2*(-2)/(-12)). Factor 6*a**2 - 3*a**3 - 3 + 4*a - 2*a**2 - j - a**3.
-4*(a - 1)**2*(a + 1)
Let i be -1 + (-155)/(-11) + (744/(-3828) - 564/(-5452)). Factor i*j**3 - 7/2*j**2 + 0 - 3/2*j.
j*(2*j - 1)*(13*j + 3)/2
Let t(m) be the first derivative of 0*m + 56 - 8/39*m**3 + 1/26*m**4 + 4/13*m**2. Find y such that t(y) = 0.
0, 2
Suppose -1508 + 1490 = 4*s + 5*b, 5*s = -2*b + 3. Let j(i) be the first derivative of -1/3*i**2 - 16 - 10/27*i**s + 4/9*i. Factor j(k).
-2*(k + 1)*(5*k - 2)/9
Let z(o) = -o - 11*o**3 - 8*o**3 + o**2 - 9*o**3 - 1 + 27*o**3. Let k(m) = 6*m**3 + 3*m**2 + 6*m - 9. Let n(t) = -k(t) - 9*z(t). Factor n(b).
3*(b - 3)*(b - 2)*(b + 1)
Let i(c) be the third derivative of -c**6/360 + c**5/20 + 11*c**4/36 - 20*c**3/3 + 1765*c**2. What is m in i(m) = 0?
-4, 3, 10
Suppose -6*x + 7*x = -5*i - 4304, i + 4324 = -x. Let b be (-34558)/x - (-4)/(-9). Factor -30/13*n**2 - 126/13*n - b - 2/13*n**3.
-2*(n + 1)*(n + 7)**2/13
Let d be 13 + (19 - 25) + 0 + -3. Let 0*j**2 - 8/3*j**3 + 4/9*j**5 + 0*j + 20/9*j**d + 0 = 0. Calculate j.
-6, 0, 1
Let l(k) be the first derivative of -5/3*k**3 - 150*k - 85/2*k**2 + 159. Determine d, given that l(d) = 0.
-15, -2
Let s = 12 - 0. Determine u, given that -s*u**2 + 6*u**2 - u**4 + 4*u + 3*u**4 = 0.
-2, 0, 1
Let g(w) = -11*w**2 + 22*w - 5. Let t(o) be the first derivative of -2*o**3/3 - o - 29. Let r(x) = -2*g(x) + 4*t(x). Let r(l) = 0. What is l?
1/7, 3
Let z(n) be the first derivative of -n**6/60 + n**5/10 - n**4/4 + n**3/3 - n**2/4 - 63*n - 29. Let l(x) be the first derivative of z(x). Solve l(a) = 0.
1
Determine p, given that 408480*p**2 + 7*p**4 - 406164*p**2 + 223*p**3 + 502*p**3 + 1756*p + 392 - 27*p**4 + 207*p**3 = 0.
-1, -2/5, 49
Let s(p) be the third derivative of -p**9/1008 + p**7/280 - 67*p**3/6 - p**2 + 5. Let h(z) be the first derivative of s(z). Factor h(t).
-3*t**3*(t - 1)*(t + 1)
Let m(v) = -14*v**2 - 8*v. Suppose 9*a - 49 = -148. Suppose -h - 5*q = 1, q = 3*h - 4 - 9. Let s(p) = -5*p**2 - 3*p. Let w(f) = a*s(f) + h*m(f). Factor w(o).
-o*(o - 1)
Let i(y) be the first derivative of -1/12*y**3 + 3/2*y + 5/8*y**2 + 2. Factor i(p).
-(p - 6)*(p + 1)/4
Let k be (((-90)/68)/(-3)*2)/((-20480)/(-24576)). Determine o, given that -12/17*o + k + 12/17*o**3 - 2/17*o**4 - 16/17*o**2 = 0.
-1, 1, 3
Let f be (0 + 10/4)*16/(-10). Let a = f + 210. Factor -185*s + a - 525 - 25*s**2 + 249.
-5*(s + 7)*(5*s + 2)
Let d(z) be the first derivative of -3*z**6/10 + 696*z**5/25 - 562*z**4/5 + 416*z**3/3 - 296*z**2/5 - 1168. Solve d(x) = 0 for x.
0, 2/3, 2, 74
Factor -312 - 1/2*i**2 + 157*i.
-(i - 312)*(i - 2)/2
Let c be (-6)/(-10)*6830/43029*(2 + 70). Suppose c*f**2 + 0 + 6/7*f**4 + 24/7*f + 30/7*f**3 = 0. Calculate f.
-2, -1, 0
Factor 1308974 - 773467 - 5388*m + 1911038 + 4497514 + 313577 + m**2.
(m - 2694)**2
Let j(s) be the second derivative of s**5/40 + 863*s**4/4 + 744769*s**3 + 1285471294*s**2 + 2*s - 428. Solve j(a) = 0 for a.
-1726
Let k be (-4)/6 - -8*(-319)/(-696). Let x(a) be the third derivative of 0*a**3 + k*a**2 + 0*a + 3 + 1/96*a**4 + 1/240*a**5. Factor x(l).
l*(l + 1)/4
Suppose 237/7*l + 0 + 3/7*l**2 = 0. What is l?
-79, 0
Suppose 445 + 25 + 242 = 356*z. Suppose -13/2*w + 1/4*w**z + 25/4 = 0. What is w?
1, 25
Let v be (-1)/15*-18*(5 + (-80)/28). Factor -12/7 - v*h**3 + 40/7*h**2 + 46/7*h.
-2*(h - 3)*(h + 1)*(9*h - 2)/7
Factor 0 - 564/19*x**3 + 40320/19*x**2 + 2/19*x**4 - 78400/19*x.
2*x*(x - 140)**2*(x - 2)/19
Let x be ((-189)/(-3 + -6))/(6/8). Find m such that -8*m + 14*m - x*m**3 + m**4 - 5*m**4 - 6*m = 0.
-7, 0
Suppose 93*o + 146*o - 346 - 386 + 254 = 0. Let t be (6/5)/((-18)/(-200)). Solve 0 + 10/3*d**o - 32/3*d**5 + 0*d**3 - t*d**4 + 2/3*d = 0 for d.
-1, -1/2, -1/4, 0, 1/2
Let g = -291 + 275. Let a be 8/g + (-30)/(-28). Suppose 0*c + 4/7*c**2 - a = 0. Calculate c.
-1, 1
Suppose -3*b = 40 + 32. Let d = b + 91. Solve v**2 + 64*v**3 - 4*v**2 - d*v**3 = 0.
-1, 0
Let z be (1 - 2)/(2/4*(-44)/88). Let a(g) be the third derivative of -1/90*g**5 + 0 + 0*g + 5/36*g**z + 12*g**2 + 2/3*g**3. Solve a(s) = 0.
-1, 6
Factor -1323/5 + 994/5*n - 1/5*n**4 + 316/5*n**2 + 14/5*n**3.
-(n - 27)*(n - 1)*(n + 7)**2/5
Let c(p) be the third derivative of 2*p**2 + 0*p**3 + 0*p + 3/80*p**6 - 1/12*p**4 - 22 + 1/60*p**7 - 1/10*p**5. Suppose c(w) = 0. Calculate w.
-2, -2/7, 0, 1
Let r(f) be the first derivative of 0*f - 5/6*f**3 - 1/16*f**4 - 3*f**2 + 22. Determine x, given that r(x) = 0.
-6, -4, 0
Let w(z) be the first derivative of 1/14*z**4 + 15*z**2 - 44/21*z**3 - 275 - 288/7*z. Solve w(g) = 0.
3, 16
Let b = -507392 - -507392. Factor -4/23*v**2 + b + 0*v - 2/23*v**3.
-2*v**2*(v + 2)/23
Let p = 372 + -372. Factor p*x**3 - 9*x**2 - 4*x**4 - 9*x**3 - 8*x - 7*x**3 - 11*x**2.
-4*x*(x + 1)**2*(x + 2)
Let o(g) be the first derivative of -7*g**6/2 + 69*g**5/5 + 129*g**4/4 - 119*g**3 - 144*g**2 + 108*g + 1523. Solve o(z) = 0.
-2, -1, 2/7, 3
Let q = -66 + 991/15. Let v(b) be the second derivative of q*b**4 + 1/100*b**5 - 2/15*b**3 + 1 + 0*b**2 - 2*b - 1/150*b**6. Let v(p) = 0. Calculate p.
-2, 0, 1, 2
Factor 140/3 - 8/3*x**2 + 134/3*x - 2/3*x**3.
-2*(x - 7)*(x + 1)*(x + 10)/3
Suppose -122/9*p - 2/9*p**2 - 84 = 0. What is p?
-54, -7
Let i(v) = -37*v**2 - 1084*v + 51. Let y(c) = -13*c**2 - 362*c + 18. Let t(u) = 6*i(u) - 17*y(u). Solve t(d) = 0 for d.
-350, 0
Let l = 311389 + -58852265/189. Let w = l - -2/27. Find z, given that -w*z + 2/7 + 8/7*z**2 = 0.
1/4, 1
Let y(n) be the second derivative of n**7/42 + 11*n**6/10 + 23*n**5/5 + 5*n**4 + 2538*n. Factor y(h).
h**2*(h + 1)*(h + 2)*(h + 30)
Let u(x) = -27*x**4 - 33*x**3 + 84*x**2 + 393*x + 288. Let a(g) = 7*g**4 + 8*g**3 - 21*g**2 - 98*g - 72. Let b(o) = 15*a(o) + 4*u(o). What is p in b(p) = 0?
-4, -2, -1, 3
Let q be -3 + ((-30)/18*2 - -3)/(703/(-6549)). Find y such that q*y**2 + 0 - 4/19*y = 0.
0, 2
Solve 4/7*j**3 + 0 + 0*j + 1332/7*j**2 = 0.
-333, 0
Let u(s) be the second derivative of 12*s + 2/5*s**2 + 2 + 1/12*s**4 + 1/100*s**5 + 4/15*s**3. What is q in u(q) = 0?
-2, -1
Let x(n) be the second derivative of 2/15*n**4 - 29*n - 2/5*n**3 + 1 + 1/75*n**6 - n**2 + 3/25*n**5. Find d, given that x(d) = 0.
-5, -1, 1
Determine w so that 100*w - 100/3*w**2 + 4/3*w**4 - 4*w**3 + 0 = 0.
-5, 0, 3, 5
Suppose 4*o = -5*c - 2350, -6*c + 2960 = -5*o - c. Let w = 592 + o. Factor 1/3*a**w + 0*a + 0.
a**2/3
Let b(a) be the first derivative of -a**5/4 + 5*a**4/4 + 10*a**3/3 - 106*a - 6. Let x(y) be the first derivative of b(y). Determine k, given that x(k) = 0.
-1, 0, 4
Let p(g) be the third derivative of g**7/1050 + g**6/540 - g**5/900 + 21*g**3 - 17*g**2. Let n(i) be the first derivative of p(i). Factor n(d).
2*d*(d + 1)*(6*d - 1)/15
Let h(z) = -36*z**4 - 112*z**3 - 336*z**2 - 336*z - 100. Let a(j) = 4*j**4 - j**3 + j - 1. Let o(c) = 8*a(c) + h(c). Solve o(f) = 0 for f.
-27, -1
Let i be 0 + 46 + 20010/(-435). Factor i*j**3 + 0 - 3/5*j**2 + 1/5*j**4 + 2/5*j.
j*(j - 1)**2*(j + 2)/5
Let g be 4*(-90)/72 + 1*8. Let l(r) be the first derivative of -1/36*r**6 + 0*r + 8 + 0*r**2 - 1/30*r**5 - 1/6*r**g + 5/24*r**4. Factor l(m).
-m**2*(m - 1)**2*(m + 3)/6
Let r(c) be the second derivative of -c**6/10 - 3*c**5/20 + c**4/2 + 2*c - 568. Factor r(b).
-3*b**2*(b - 1)*(b + 2)
Let l be 4*(9 + -5) + -10 - (-2 + 6). Let n(t) be the first derivative of -27 - 1/12*t**3 + 0*t - 7/8*t**l. What is r in n(r) = 0?
-7, 0
Let o(p) be the first derivative of -5*p**3/3 - 6395*p**2 - 8179205*p - 1834. Factor o(w).
-5*(w + 1279)**2
Suppose 10 = -z + u, 24000*z = 24002*z + 4*u - 58. Factor -1/6*l**z + 0*l + 0*l**2 + 1/3*l**4 + 0 - 1/6*l**5.
