ate i.
1562
Let s(j) be the first derivative of -33*j**5/35 - 381*j**4/7 - 5911*j**3/7 - 1587*j**2/7 + 2136. Solve s(q) = 0.
-23, -2/11, 0
Let t(m) be the third derivative of 1/2520*m**8 + 7/450*m**5 - 83*m**2 + 0*m + 0*m**3 + 1/90*m**4 + 1/315*m**7 + 1/100*m**6 + 0. Solve t(s) = 0.
-2, -1, 0
Let k be (3 - 13/3)/((-10)/15 - 0). Let t(d) be the third derivative of 0 + 0*d + 1/32*d**4 + 1/80*d**5 - 19*d**k + 0*d**3. Suppose t(n) = 0. Calculate n.
-1, 0
Let t(d) be the first derivative of 1/4*d**4 - 16*d - 4 + 13*d**2 - 11/3*d**3. Find z, given that t(z) = 0.
1, 2, 8
What is i in 28/3 - 2*i**3 - 2/3*i**4 - 22*i + 46/3*i**2 = 0?
-7, 1, 2
Let h = -6834 + 6838. Let g(u) be the second derivative of 0*u**2 - 1/3*u**h - 1/10*u**5 - 1/3*u**3 + 0 + u. Find q, given that g(q) = 0.
-1, 0
Suppose 2*g + 66 = -5*b, -2*g + 4*g - 32 = 2*b. Find r, given that 27/2 + 4*r**3 - 1/2*r**4 + 0*r - 9*r**g = 0.
-1, 3
Let d be (814/(-77) + 10)/(-13 - 356/(-28)). Solve 1/3*m**d - 53/3*m - 18 = 0 for m.
-1, 54
Let u be -1 + 982*1*(-8)/(-16). Suppose 0 = -14*m - 448 + u. Factor 3/4*l**5 - 1/2 + 13/2*l**m - 6*l**2 + 11/4*l - 7/2*l**4.
(l - 1)**4*(3*l - 2)/4
Let f(p) = -4 + 0 + 0 + 3. Let u be (35/5 + -8)*1*2. Let j(n) = n**2 - n + 9. Let b(g) = u*j(g) - 22*f(g). Let b(m) = 0. Calculate m.
-1, 2
Let q(x) = 18*x**3 + 10*x**2 - 90*x - 94. Let m(i) = 14*i**3 + 10*i**2 - 88*i - 93. Let l(b) = 4*m(b) - 3*q(b). Factor l(o).
2*(o - 5)*(o + 1)*(o + 9)
Suppose -43*v + 324 = 7*v - 14*v. Let f(y) be the first derivative of 4*y - 1/2*y**4 + 3*y**2 + 0*y**3 + v. What is x in f(x) = 0?
-1, 2
Let o = -13 + 24. Let n be (-72)/(-60) - 8/(-10). Factor 7 + 3*p**n - 11 - 5*p**5 + 12*p + p**5 - 8*p**3 + 12*p**4 - o*p**2.
-4*(p - 1)**4*(p + 1)
Let o be (0 + 86/(-7))/(8/36). Let q = -55 - o. Solve 0 - 2/7*z**3 + q*z**4 - 4/7*z**2 + 0*z = 0.
-1, 0, 2
What is x in 505/8*x + 23/4 - 11/8*x**2 = 0?
-1/11, 46
Let d(c) be the second derivative of -1/18*c**6 + 260/9*c**3 + 7/6*c**5 - 160/3*c**2 - 25/3*c**4 - 35*c + 0. Suppose d(g) = 0. What is g?
2, 8
Let d(z) = -z**2 - 15*z - 54. Let u be d(-7). Factor 32 - 27436*a**3 + 2322*a**u + 5909*a**2 - 1375*a + 433*a**2 + 463*a.
-4*(19*a - 2)**3
Let m = 72216 + -72214. Factor -75/4*o - 3*o**m + 63/4.
-3*(o + 7)*(4*o - 3)/4
Let r = 38 - 48. Let m be r/(-5 + (-9)/(-3)). What is v in 88*v - 88*v + 10*v**5 - m*v**4 - 10*v**3 + 20*v**5 = 0?
-1/2, 0, 2/3
Let j(y) be the second derivative of 43*y - 1/24*y**4 - 5*y**2 + 7/4*y**3 + 0. Factor j(d).
-(d - 20)*(d - 1)/2
Factor -1/3*y**4 + 39 - 34/3*y**3 - 90*y + 188/3*y**2.
-(y - 3)*(y - 1)**2*(y + 39)/3
Let z(v) be the second derivative of 0*v**3 + 1/40*v**6 - 3/8*v**4 + 1 + 0*v**2 - 3/16*v**5 - 4*v. Factor z(i).
3*i**2*(i - 6)*(i + 1)/4
Let p(b) be the second derivative of -b**5/100 + 2*b**4/15 + 33*b**3/10 - 81*b**2 - 1386*b. Factor p(d).
-(d - 9)**2*(d + 10)/5
Let q be (24/(-11))/12 - 26562/77. Let r = -2368/7 - q. Let -44/7*g**2 - 2/7*g**4 - r*g - 16/7*g**3 - 18/7 = 0. What is g?
-3, -1
Suppose -2004*v = -3050 - 2962. Factor -3/2*q**4 + 0 + 0*q**2 - 1/2*q**5 - q**v + 0*q.
-q**3*(q + 1)*(q + 2)/2
Let x(g) = -7*g**2 - 1285*g + 10742. Let j be x(8). Factor -j*i - 2/5*i**3 - 98/5 + 26/5*i**2.
-2*(i - 7)**2*(i + 1)/5
Suppose 4*q - 85 = -3*d - 72, 0 = q + 4*d. Let o(r) be the third derivative of 0*r**q + 0*r**3 + 0*r - 1/900*r**6 - 1/450*r**5 + 0 - 3*r**2. Factor o(l).
-2*l**2*(l + 1)/15
Determine w, given that 868/3*w - 144*w**2 - 1/3*w**3 + 0 = 0.
-434, 0, 2
Let h(a) be the first derivative of -4*a**5/5 + 17*a**4/4 + 71*a**3/3 + 21*a**2 - 2713. Find s, given that h(s) = 0.
-2, -3/4, 0, 7
Factor 29/4 - 22*j + 1/4*j**4 - 8*j**3 + 45/2*j**2.
(j - 29)*(j - 1)**3/4
Let j(z) be the second derivative of -z**7/1680 - z**6/60 + 9*z**5/80 + 5*z**4/3 + 18*z. Let o(h) be the third derivative of j(h). Factor o(s).
-3*(s - 1)*(s + 9)/2
Solve -105*q**2 + 70*q**3 - 106*q - 11107*q**4 + 5549*q**4 + 5553*q**4 - 74*q = 0 for q.
-1, 0, 3, 12
Factor 0*v + 2/3*v**3 - 26*v**2 + 0.
2*v**2*(v - 39)/3
Let t(w) be the second derivative of 84*w + 1/21*w**4 - 58/21*w**3 + 0 - 60/7*w**2. Find r such that t(r) = 0.
-1, 30
Suppose 23*n - 45 = -67 + 91. Let j(q) be the first derivative of -3/10*q**4 + 3/5*q + 4/5*q**n - 21 + 1/25*q**5 - q**2. Let j(m) = 0. What is m?
1, 3
Let q(r) be the first derivative of -r**6/1260 + r**5/140 - 9*r**3 - 38. Let a(j) be the third derivative of q(j). Factor a(v).
-2*v*(v - 3)/7
Let u(k) be the first derivative of k**4/22 - 896*k**3/33 + 50621*k**2/11 - 198916*k/11 + 2594. Factor u(o).
2*(o - 223)**2*(o - 2)/11
Let u be ((-13)/(-6) - (-1065)/(-540))*(-8)/(-1). Factor u*x + 10/9*x**2 + 2/3 + 2/9*x**3.
2*(x + 1)**2*(x + 3)/9
Let v = -298 + 154. Let q = -142 - v. Let -2/3*y**q + 2*y**3 - 4/3*y + 0 = 0. What is y?
-2/3, 0, 1
Let g(t) be the third derivative of -t**6/40 - 33*t**5/20 - 42*t**4 - 490*t**3 - 2*t**2 + 87. Factor g(l).
-3*(l + 5)*(l + 14)**2
Let d(b) be the second derivative of -5*b**4/12 - 95*b**3/3 - 1085*b**2/2 - 3079*b. Factor d(i).
-5*(i + 7)*(i + 31)
Suppose -3909 = -2*j - 3*k - 1206, j - 4*k - 1357 = 0. Let h = j - 1351. Determine d so that 2/7*d**2 + h + 16/7*d = 0.
-7, -1
Let y be (-48)/60 + 199/5 + -36. Find x, given that -1/4*x**2 - 27/4 + y*x = 0.
3, 9
Let k(v) be the first derivative of v**3 - 24*v**2 + 45*v - 212. Suppose k(g) = 0. What is g?
1, 15
Let d(s) be the second derivative of 1/13*s**3 + 1/78*s**4 - 2*s - 4/13*s**2 + 26. Determine i, given that d(i) = 0.
-4, 1
Let b be (0 - 12/(-14)) + (240/(-630) - (-18)/21). Factor -32/9*t - b*t**3 - 100/9*t**2 + 0.
-4*t*(t + 8)*(3*t + 1)/9
Let l(q) be the second derivative of -130/3*q**3 + 4 - q - 1/15*q**5 - 338/3*q**2 - 3*q**4. Solve l(o) = 0.
-13, -1
Let x(j) be the third derivative of -j**8/2352 + j**7/98 - 2*j**6/35 + 11*j**5/105 - 2*j**2 + 25. Suppose x(z) = 0. What is z?
0, 2, 11
Let b(h) be the first derivative of -13*h**4/4 - 109*h**3/12 - 31*h**2/4 - 5*h/4 + 1010. Factor b(t).
-(t + 1)**2*(52*t + 5)/4
Suppose 963*b + 1 + 0 = 1. Find h such that -27/7*h**2 - 12/7*h + b*h**3 + 3/7*h**4 + 36/7 = 0.
-2, 1, 3
Find y such that -1560*y - 405 + 2005/4*y**4 + 35/4*y**5 + 6205/4*y**3 - 385/4*y**2 = 0.
-54, -3, -1, -2/7, 1
Let x(k) be the second derivative of -k**4/18 + 4238*k**3/9 - 4490161*k**2/3 - 3533*k. Let x(q) = 0. What is q?
2119
Let r(f) = f**3 + 8*f**2 + 13*f + 1. Let j be r(-3). Suppose -3*k = -2*y - 268, -y = -j + 6. Factor 10*l**4 - 15*l**2 - 5*l**4 - 30*l**2 - 10*l**2 - 40 - k*l.
5*(l - 4)*(l + 1)**2*(l + 2)
Solve -366/19*d**2 + 8/19*d**4 + 250/19*d + 150/19*d**3 - 42/19 = 0 for d.
-21, 1/4, 1
Let u(p) = -4*p**4 - 40*p**3 + 55*p**2 + 11*p. Let x(z) = -2*z**4 - 20*z**3 + 28*z**2 + 6*z. Let j(s) = 6*u(s) - 11*x(s). Solve j(y) = 0 for y.
-11, 0, 1
Let z = 84117 - 84115. Factor 1/4*w**z - 25/2*w + 625/4.
(w - 25)**2/4
Let d(z) be the first derivative of -12*z**3 + 144*z**2 + 208*z - 362. Solve d(k) = 0 for k.
-2/3, 26/3
Let u(t) = 7*t**2 + 20*t + 15. Suppose 0 = 20*v + 71*v + 182. Let l = 3 + -2. Let b(a) = a**2. Let h(k) = l*u(k) + v*b(k). Find y such that h(y) = 0.
-3, -1
Let b(x) be the second derivative of -x**7/84 - 17*x**6/180 - x**5/10 - 3*x**3/2 + 5*x**2/2 - 84*x. Let t(o) be the second derivative of b(o). Factor t(n).
-2*n*(n + 3)*(5*n + 2)
Let i(m) = 14 + m**2 - 7 - 5 - 2*m. Let x be i(0). Factor 2/9*c**3 + 2/3*c**x - 8/9*c + 0.
2*c*(c - 1)*(c + 4)/9
Let k(x) be the first derivative of -x**5/3 - 5*x**4/12 + 80*x**3/9 - 50*x**2/3 + 4394. Find n such that k(n) = 0.
-5, 0, 2
Suppose -6550*j**3 + 45*j**2 - 2529*j + 6551*j**3 + 2655*j = 0. Calculate j.
-42, -3, 0
Let -44376/13 + 44714/13*d**2 - 2/13*d**5 + 13760/13*d - 26*d**4 - 13758/13*d**3 = 0. What is d?
-86, -1, 1, 3
Let l be (-1 - 378/(-180))/((-3)/(-5)). Factor 1/6 + 35/6*r**2 - 25/6*r**3 - l*r.
-(r - 1)*(5*r - 1)**2/6
Factor 208/7*u**2 - 224*u - 2/7*u**3 + 3072/7.
-2*(u - 96)*(u - 4)**2/7
Solve -38*t**2 - 3*t**3 + 10*t**2 - 180 - t + 73*t**2 + 13*t = 0.
-2, 2, 15
Solve -33/8*k**3 + 3/8*k**4 + 3993/8*k + 0 - 363/8*k**2 = 0 for k.
-11, 0, 11
Let i be 196/42*(-72)/(-238). Let g = -86/85 + i. Factor -3/5*t + 1/5*t**3 + 0 + g*t**2.
t*(t - 1)*(t + 3)/5
Let w(x) be the first derivative of 11/8*x**4 + 3 - 1/2*x**5 + 1/4*x**2 - 7/6*x**3 + 0*x. Let w(k) = 0. What is k?
0, 1/5, 1
Suppose -8*d