What is b?
-2, -1, 0
Let 5/3*j**3 - 68/3*j**2 + 60*j - 48 + 1/3*j**4 = 0. What is j?
-12, 2, 3
Let p(n) = 34*n**2 + 332*n - 32400. Let t(l) = -5*l**2 + 4*l. Let i(c) = 3*p(c) + 21*t(c). Let i(r) = 0. What is r?
180
Let g(s) be the third derivative of -s**2 - 1/6*s**4 + 1/210*s**7 + 0 - 1/2*s**3 + 1/30*s**5 + 1/30*s**6 + 0*s. Let g(i) = 0. Calculate i.
-3, -1, 1
Find w such that 0 - 483*w + 3/2*w**2 = 0.
0, 322
Let s(x) = 6*x - 21. Let t be s(4). Let i(g) be the first derivative of 6 - 5*g**3 + 5*g**2 + 13 + t. Let i(n) = 0. What is n?
0, 2/3
Let p(n) = 45*n**2 - 25*n - 2. Let k be p(2). Find l such that k - 119 - 5*l**4 + 160*l - 60*l**2 - 40*l**3 + 311 = 0.
-4, -2, 2
Suppose -5 = -6*i + 19. Let d be i/(-1)*((-39)/52 - 0). Suppose 8/3 + 0*q**2 + 4*q - 4/3*q**d = 0. Calculate q.
-1, 2
Suppose -2120*u = -4724 - 1636. Determine w, given that 57/5*w**2 + 3/5*w**u + 243/5 + 297/5*w = 0.
-9, -1
Let b(u) be the third derivative of 2*u**7/35 + 121*u**6/30 - 499*u**5/36 + 175*u**4/12 + 3736*u**2. Factor b(m).
m*(m + 42)*(6*m - 5)**2/3
Suppose -5*i + 14 + 2 = 2*x, 114 = 36*x + 3*i. Factor -3/4*c**x + 39/4*c + 0*c**2 - 9.
-3*(c - 3)*(c - 1)*(c + 4)/4
Let b = -1439 + 1446. Suppose 2*u = 7*u + b*u. What is f in -1/3*f - 5/6*f**2 + u - 1/3*f**3 = 0?
-2, -1/2, 0
Suppose b - 159 = 3*m, 0 = 2*b - m - 306 - 17. What is x in 732*x**4 - 2203*x**2 - 735*x**4 - b*x**3 - 713*x**2 - 17496*x = 0?
-18, 0
Suppose u = -s + 1, 5*u = 9*u + 3*s - 9. Let q(w) = 7*w**2 + 25*w - 20. Let i(a) = 16*a**2 + 50*a - 40. Let j(r) = u*i(r) - 13*q(r). Factor j(b).
5*(b - 4)*(b - 1)
Let k = 520544 - 520540. Determine u so that -26/5*u**2 - 14/5*u**3 - 1 - 19/5*u + 1/5*u**5 - 1/5*u**k = 0.
-1, 5
Let c(o) = -2*o**2 - 183*o - 6. Let l(a) = -8*a - 123. Let m be l(-16). Let r(u) = 2*u**2 + 365*u + 10. Let s(b) = m*c(b) + 3*r(b). Find t, given that s(t) = 0.
0, 45
Factor 168/5 - 53/5*t - 1/5*t**2.
-(t - 3)*(t + 56)/5
Let i(w) be the first derivative of 6*w**4 - 17*w**3 - 573*w**2 + 144*w + 5953. Solve i(v) = 0.
-6, 1/8, 8
Let n(o) = -9*o**2 + o - 5. Let r(u) = u**2 + 1. Let a(s) = -2*n(s) - 14*r(s). Let z be a(2). Determine b so that 1 - 8*b**2 - 11 + 10*b + z = 0.
1/4, 1
Let l(k) be the second derivative of k**4/12 + 73*k**3/6 - 280*k**2 - 5162*k. Suppose l(z) = 0. Calculate z.
-80, 7
Let t = -11451 - -11454. Let a(w) be the third derivative of 0*w**t + 0 - 11*w**2 + 0*w**5 + 0*w + 1/120*w**6 - 1/210*w**7 + 0*w**4. Factor a(u).
-u**3*(u - 1)
Let u(o) be the first derivative of -o**7/70 + o**6/8 - 7*o**5/20 + 3*o**4/8 + 5*o**2 + o + 102. Let d(c) be the second derivative of u(c). Solve d(p) = 0.
0, 1, 3
Let z = 2196 - 2196. Find f such that z*f**3 - 4/5*f**2 + 2/5*f**4 + 2/5 + 0*f = 0.
-1, 1
Let k = -5423 + 16271/3. Let n(o) be the first derivative of 0*o + k*o**3 + 16 - 1/5*o**5 + 0*o**2 - 1/4*o**4. Find x, given that n(x) = 0.
-2, 0, 1
Let h(z) be the second derivative of 7*z + 1/15*z**3 - 1 + 1/30*z**4 + 0*z**2. Solve h(g) = 0 for g.
-1, 0
Let l(i) = -8*i - 10. Let w be l(-2). What is o in w*o - 28*o**2 + 58*o**2 - o**4 - 23*o**2 = 0?
-2, -1, 0, 3
Let v(f) be the third derivative of f**6/120 - 5*f**5/12 + 155*f**2 - f. Suppose v(a) = 0. Calculate a.
0, 25
Let v(u) be the first derivative of 3*u**4/16 + 19*u**3/4 + 171*u**2/4 + 162*u - 1443. Factor v(z).
3*(z + 4)*(z + 6)*(z + 9)/4
Let t be (-457)/(-60) + 2/(-3) - (-3813)/15252. Factor 4/5*o**3 + 20 + 12*o - t*o**2.
4*(o - 5)**2*(o + 1)/5
Let r(i) be the third derivative of 1/60*i**5 - 1/48*i**6 + 0*i**3 - 1/420*i**7 + 1/2*i**4 + 0*i + 149*i**2 + 0. Determine f, given that r(f) = 0.
-4, -3, 0, 2
Let f = -40 + 44. Suppose 5*n = 4*i - 20 + f, 0 = -2*n. Let -8*y**3 - 212 + 212 - 2*y**i - 8*y**2 = 0. What is y?
-2, 0
Let k = 57538 - 287678/5. Factor -4/5*g**4 + 8/5 + 4/5*g**3 + k*g**2 - 4*g.
-4*(g - 1)**3*(g + 2)/5
Let a(z) be the third derivative of z**6/840 + 17*z**5/420 - 9*z**4/4 + 60*z**3/7 + 1295*z**2. Suppose a(r) = 0. What is r?
-30, 1, 12
Let s(u) = -u**3 - 17*u**2 - 15*u + 20. Let d be s(-16). Let i be 8/5 + 12/30. Suppose 4*j**2 - 16*j**2 - d*j**3 - 12*j - 4*j**i = 0. Calculate j.
-3, -1, 0
Let a(i) be the first derivative of -3*i**5/5 - 87*i**4/4 - 179*i**3 + 87*i**2/2 + 540*i + 3830. Suppose a(z) = 0. What is z?
-20, -9, -1, 1
Find o, given that 1/4*o**3 - 1/8*o**5 + 33 + 33*o**4 - 1/8*o - 66*o**2 = 0.
-1, 1, 264
Let b(v) be the second derivative of v**7/84 + v**6/60 - v**5/10 - v**4/6 + 2522*v. Factor b(h).
h**2*(h - 2)*(h + 1)*(h + 2)/2
Let d be -2*(-3576)/16092*2/(14/9). Let -d - 2/7*q**2 + 1/7*q**3 - q = 0. What is q?
-1, 4
Let v be (1 + 0)*0/(-3). Let f be 2 - (v/3)/(-4). Factor 2/5*i + 0 + 12/5*i**f + 24/5*i**3 + 16/5*i**4.
2*i*(2*i + 1)**3/5
Let c be (5 + -8)*-2 + 338/(-57). Let l(d) be the second derivative of 0 + c*d**4 - 17*d - 4/57*d**3 - 3/190*d**5 + 0*d**2. Factor l(p).
-2*p*(p - 2)*(3*p - 2)/19
Let v = 989 + -653. Factor -5*d**3 - 58960 + v*d**2 + 180905 - 12615*d + 99*d**2.
-5*(d - 29)**3
Let u be (-9)/24 - (-3370)/(-457680)*-51. Let v = u - -5719/3814. Factor 3/4*b**3 + 0 + v*b - 9/4*b**2.
3*b*(b - 2)*(b - 1)/4
Let u = -38 + 40. Let r(a) = a**3 + 8*a**3 + u*a - 9 + 8*a**2 - 5*a**3 + 1. Let v(w) = -9*w**3 - 16*w**2 - 4*w + 16. Let y(o) = 13*r(o) + 6*v(o). Factor y(h).
-2*(h - 4)*(h - 1)*(h + 1)
Factor 0 + 2/7*o**4 - 384/7*o - 120/7*o**3 - 506/7*o**2.
2*o*(o - 64)*(o + 1)*(o + 3)/7
Let r(b) be the third derivative of -b**8/840 + b**7/105 - 2*b**6/75 + 2*b**5/75 + 681*b**2 - b. Factor r(j).
-2*j**2*(j - 2)**2*(j - 1)/5
Let v(f) = -f**3 + f**2 + 21*f + 43. Let d be v(-7). Let w be 4*((-10)/d - 12/(-54)). Factor 1/4*l**3 + w*l + 0 - 1/4*l**4 + 5/4*l**2.
-l*(l - 3)*(l + 1)**2/4
Let q = -1609286/11 - -146300. Suppose q*m + 2/11*m**2 + 0 = 0. What is m?
-7, 0
Factor -2/3*k**4 - 2209/6*k - 1457*k**2 + 0 + 125/2*k**3.
-k*(k - 47)**2*(4*k + 1)/6
Let o(y) be the first derivative of 2*y**3/39 - 6*y**2/13 - 110*y/13 + 898. Find s, given that o(s) = 0.
-5, 11
Let u(i) be the third derivative of -i**5/80 + 9*i**4/16 + 19*i**3/8 - 598*i**2. Factor u(a).
-3*(a - 19)*(a + 1)/4
Let g = -10039/3 - -3353. Let w = 33 + -94/3. Factor g*f + 20/3*f**2 + w.
5*(2*f + 1)**2/3
Let t be 44705/232466*52/5. Let -6/5*g**t + 0 + 8/5*g - 2/5*g**3 = 0. What is g?
-4, 0, 1
Let y = -8/44581 + -2768970419/401229. Let z = -6887 - y. Factor -2/9*j**2 + 32/9*j - z.
-2*(j - 8)**2/9
Let g(b) = -b**3 - 13*b**2 + 12*b + 420. Let q be g(-10). Let a(w) be the second derivative of 22*w - 5/12*w**4 + 5/2*w**3 + 0 + q*w**2. Factor a(d).
-5*d*(d - 3)
Determine a, given that 0 + 2/5*a**4 - 18/5*a**2 - 12/5*a - 14/15*a**3 + 2/15*a**5 = 0.
-3, -2, -1, 0, 3
Let r(t) = -13*t**2 - 49*t + 97. Let p(v) = 4*v**2 + v**2 - 48 - v + 28*v + v**2. Let j(g) = 7*p(g) + 3*r(g). Factor j(c).
3*(c - 1)*(c + 15)
Suppose 0 = 20*x + 1711 + 9049. Let k = 3770/7 + x. Suppose k*t**2 + 100/7 - 40/7*t = 0. Calculate t.
5
Let h be ((-16)/(-24))/((-2)/(-6))*2. Let s(j) be the third derivative of 7/5*j**5 + 4/3*j**3 + 0*j - 49/240*j**6 + 9/4*j**h + 0 + j**2. Solve s(c) = 0 for c.
-2/7, 4
Let n(h) = -4*h - 23 + 5*h - 31 + 0*h + 5*h. Let y be n(9). Suppose y*u + 2 - 1/2*u**2 = 0. Calculate u.
-2, 2
Solve 92 - 22*a**3 + 1/3*a**4 - 69*a**2 - 4/3*a = 0.
-2, 1, 69
Let s(k) be the third derivative of 2*k**7/35 + 7*k**6/8 + 51*k**5/20 - 115*k**4/8 + 25*k**3/2 - 484*k**2. Factor s(v).
3*(v - 1)*(v + 5)**2*(4*v - 1)
Let k(j) be the first derivative of -j**5/5 + 5*j**4/2 + 37*j**3/3 + 13*j**2 - 2499. Factor k(v).
-v*(v - 13)*(v + 1)*(v + 2)
Let h = 34 - 29. Let s(a) be the second derivative of 0*a**2 - 7/90*a**6 + 0 + 0*a**4 + 13*a + 1/10*a**h + 0*a**3. Find l such that s(l) = 0.
0, 6/7
Let z(u) be the second derivative of 3/20*u**5 + 3*u - 1/2*u**3 - u**2 + 19 + 1/12*u**4 + 1/30*u**6. Factor z(k).
(k - 1)*(k + 1)**2*(k + 2)
Let k(t) be the second derivative of 1/5*t**5 + 2/3*t**4 + 0*t**2 - 2/15*t**6 - 8*t + 0*t**3 + 4. Determine n so that k(n) = 0.
-1, 0, 2
Let t(p) be the third derivative of p**5/390 - 167*p**4/156 - 26*p**3/3 - p**2 + 3502. Find r, given that t(r) = 0.
-2, 169
Suppose 0 = -5*h - 2*p + 127, -23*h + 25*h - 5*p - 45 = 0. Determine w so that 19 + 0*w**2 - h - 7*w**2 - 17*w = 0.
-2, -3/7
Let r(u) be the first derivative of -u**6/33 - 2*u**5/5 + 37*u**4/11 - 200*u**3/33 - 56*u**2/11 + 256