+ 2)
What is k in 2/7*k**3 - 20*k**2 - 144/7 - 286/7*k = 0?
-1, 72
Let x = -131347/12 - -10911. Let b = 149/4 + x. Factor -26/3*m - b*m**2 - 4 + 2*m**3.
2*(m - 3)*(m + 1)*(3*m + 2)/3
Suppose 2*y = -t + 15 - 3, 24 = 2*y + 4*t. Let n(p) = p**3 + 6*p**2 + 4*p - 3. Let h be n(-5). Let -c**2 + c**y - 50 + 2*c**3 + 50 - h*c = 0. What is c?
-2, -1, 0, 1
Let m(k) be the second derivative of -k**6/24 + k**5 - 35*k**4/8 + 25*k**3/3 - 43*k**2/2 - 119*k. Let o(y) be the first derivative of m(y). Solve o(x) = 0.
1, 10
Find b such that -2/9*b**2 - 7880450/9 + 7940/9*b = 0.
1985
Determine p so that -72917*p**3 + 145827*p**3 - 72921*p**3 - 14*p**2 - p**4 + 44*p + 72 = 0.
-9, -2, 2
Let x = -482 + 483. Suppose 1 = -24*f + x. Factor f + 0*s - 12*s**3 + 3*s**2 + 75/4*s**5 + 15/4*s**4.
3*s**2*(s + 1)*(5*s - 2)**2/4
Let y(i) = -45*i - 313. Suppose k + 5*s = -22, -66*k + 40 = -70*k - 4*s. Let r be y(k). Factor 0*l + 0*l**3 - 4 + 2*l**r - 1/4*l**4.
-(l - 2)**2*(l + 2)**2/4
Let z = 34426 - 34424. Let u(m) be the third derivative of 0 + 7/100*m**5 - 1/40*m**6 + 1/5*m**4 + 33*m**z - 2/5*m**3 + 0*m. Factor u(a).
-3*(a - 2)*(a + 1)*(5*a - 2)/5
Let v = 92047 - 368185/4. Suppose 1/4*x**2 - 5/2 + v*x = 0. What is x?
-5, 2
Suppose -3*d + 51 = -x - 2*x, 0 = d - 2*x - 12. Suppose -7*n - 4*n + d = 0. Factor 4/3 - 2/9*i**n - 10/9*i.
-2*(i - 1)*(i + 6)/9
Factor -7/3*f**2 - 2 - 13/3*f + 1/3*f**4 + 1/3*f**3.
(f - 3)*(f + 1)**2*(f + 2)/3
Let u = 1196/7147 - 25/1021. Let a = 120/7 - 117/7. Factor -a*b**3 - 3/7*b**4 - 1/7*b**5 - u*b**2 + 0*b + 0.
-b**2*(b + 1)**3/7
Let w(z) be the third derivative of 4/45*z**5 + 0 + 0*z**3 + z**2 + 1/252*z**8 + z - 19/945*z**7 - 1/27*z**4 + 1/180*z**6. Determine m so that w(m) = 0.
-1, 0, 1/6, 2
Let f(y) be the first derivative of -4/7*y**3 + 0*y**2 + 21 - 1/14*y**6 + 0*y - 6/35*y**5 + 3/4*y**4. Factor f(r).
-3*r**2*(r - 1)**2*(r + 4)/7
Let i(s) = -87*s - 1212. Let c be i(-14). Let w(b) be the third derivative of 0*b - 1/10*b**c + 13/15*b**5 + 20*b**2 - 20/9*b**4 + 0 + 8/3*b**3. Factor w(d).
-4*(d - 3)*(3*d - 2)**2/3
Let v(d) = d**3 - 7*d**2 - d + 7. Let q be v(7). Let x(n) be the first derivative of 0*n**2 + 0*n**3 - 1/14*n**4 + q*n + 1. Factor x(l).
-2*l**3/7
Find h, given that -2/7*h**4 - 8/7 + 18/7*h**2 - 22/7*h**3 + 6/7*h**5 + 8/7*h = 0.
-2, -2/3, 1
Factor -378 + 432*l - 105/2*l**2 - 3/2*l**3.
-3*(l - 6)*(l - 1)*(l + 42)/2
Let l(u) be the third derivative of 841/44*u**4 + 1/660*u**6 + 0 + 60*u**2 + 0*u - 29/110*u**5 - 24389/33*u**3. Factor l(k).
2*(k - 29)**3/11
Let r(q) = -q**3 - 40*q**2 + 83*q - 34. Let u be r(-42). Solve -8 - a - 2*a**2 + 5*a + 2*a + 6*a - u = 0.
2, 4
Let a(u) be the first derivative of -u**6/48 + 9*u**5/10 + 265*u**4/16 + 179*u**3/2 + 2855*u**2/16 + 150*u - 4149. Determine z so that a(z) = 0.
-5, -1, 48
Let i(c) = -828*c - 6622. Let g be i(-8). Let d(y) be the first derivative of -1/10*y**4 - 2/15*y**3 + 8/5*y + 4/5*y**g - 24. Factor d(x).
-2*(x - 2)*(x + 1)*(x + 2)/5
Let d(f) = -f**4 - 92*f**3 + 7*f**2 - 28*f + 15. Let j(x) = -11*x**3 + x**2 - 1. Let a(w) = -2*d(w) + 18*j(w). Let a(v) = 0. What is v?
-2, 1, 2, 6
Suppose 277*o - 1624 = -129*o. Let j(f) be the second derivative of -3/160*f**5 + 5/32*f**o - 7/16*f**3 + 9/16*f**2 + 0 - 18*f. Find c such that j(c) = 0.
1, 3
Let k(n) be the third derivative of -1/540*n**6 - 1/27*n**4 + 1/54*n**5 + 0*n**3 + 0 + 0*n - 103*n**2. Factor k(r).
-2*r*(r - 4)*(r - 1)/9
Let a be 5/(15/12) + 0. Suppose -16 = -8*n + a*n. Find j such that -60*j**n + 3*j**2 + 6*j**3 + j**2 + 62*j**4 = 0.
-2, -1, 0
Suppose -682 - 156 = -964*h + 1138 - 48. Factor h - 1/4*t**2 - 7/4*t.
-(t - 1)*(t + 8)/4
Let u(k) be the third derivative of 0*k + k**2 - 4 + 37/8*k**4 - 3*k**3 - 1/28*k**8 + 1/14*k**7 - 59/20*k**5 + 27/40*k**6. Determine a, given that u(a) = 0.
-3, 1/4, 1, 2
Let f(c) be the first derivative of 17*c**5 - 225*c**4/4 + 80*c**3/3 + 30*c**2 + 214. Solve f(u) = 0.
-6/17, 0, 1, 2
Let o be (9/3 - -1)/(-4*15/(-50)). Factor -28/3 + o*l + 2/3*l**2.
2*(l - 2)*(l + 7)/3
Let z be (24/(-576))/(-3 + (-5)/(-2)). Let h(o) be the third derivative of 0*o + 0 - 17*o**2 - 5/6*o**4 + 25/6*o**3 - z*o**5. Factor h(q).
-5*(q - 1)*(q + 5)
Let v(x) be the second derivative of 10*x + 0*x**2 + 1/15*x**6 - 44/45*x**5 - 2 + 0*x**3 - 10/27*x**4. Factor v(c).
2*c**2*(c - 10)*(9*c + 2)/9
Let s(a) be the first derivative of -a**6/36 - 2*a**5/15 + a**4/6 + 17*a**3/9 + 15*a**2/4 + 3*a - 968. Determine b, given that s(b) = 0.
-3, -2, -1, 3
Let x(q) be the first derivative of -q**6/840 - q**5/140 - 61*q**3/3 + 75. Let j(i) be the third derivative of x(i). Solve j(p) = 0 for p.
-2, 0
Let m(x) be the third derivative of -x**5/30 - 23*x**4/6 - 91*x**3 - 3075*x**2. Find l such that m(l) = 0.
-39, -7
Let j(p) be the first derivative of 2*p**5/17 + p**4/34 - 10*p**3/51 - p**2/17 - 398. Determine q so that j(q) = 0.
-1, -1/5, 0, 1
Let w(i) be the first derivative of i**4/108 - i**3/54 - i**2/9 - 30*i - 7. Let m(s) be the first derivative of w(s). Determine y so that m(y) = 0.
-1, 2
Let r(h) be the second derivative of 16/21*h**3 - 1 + 6/35*h**5 - 2/105*h**6 + 5/7*h**4 + 0*h**2 + 5*h. Factor r(l).
-4*l*(l - 8)*(l + 1)**2/7
Let g(b) be the first derivative of 2/45*b**5 + 32/9*b**2 + 4/9*b**4 + 16/9*b**3 + 2 + 32/9*b. Factor g(a).
2*(a + 2)**4/9
Let b(m) = 25*m**4 + 85*m**3 - 175*m**2 - 210*m. Let t(y) = 50*y**4 + 171*y**3 - 348*y**2 - 424*y. Let k(z) = -9*b(z) + 5*t(z). Factor k(u).
5*u*(u - 2)*(u + 1)*(5*u + 23)
Let q(x) be the first derivative of x**6/54 - 79*x**5/15 + 13439*x**4/36 + 71273*x**3/27 + 19360*x**2/3 + 58564*x/9 + 8749. Determine m, given that q(m) = 0.
-2, -1, 121
Suppose 36*d - 475 = -43. Let g be d/(-165)*-11*25/6. Factor 0 - g*p - 5/3*p**2.
-5*p*(p + 2)/3
Let t(p) be the first derivative of -5*p**4/12 + 455*p**3/9 + 940*p**2/3 + 1900*p/3 + 5079. Factor t(f).
-5*(f - 95)*(f + 2)**2/3
Let f(x) be the third derivative of -2 + 18*x**2 + 0*x + 0*x**4 + 0*x**3 + 1/80*x**5 + 1/320*x**6. Let f(k) = 0. What is k?
-2, 0
Suppose -26*g + 27*g = 11. Suppose 0 = g*j - 9*j - 6. Solve 285*k**2 + 10 + 105*k - 119*k**2 + 125*k**j + 134*k**2 = 0.
-2, -1/5
Let s = 15034 + -15031. Let q(w) be the first derivative of 0*w + w**4 - 2/5*w**5 + 2/3*w**s + 37 - 2*w**2. Find r such that q(r) = 0.
-1, 0, 1, 2
Let d(f) be the first derivative of 9*f**4/4 + 163*f**3 + 312*f**2 - 636*f - 886. Suppose d(a) = 0. Calculate a.
-53, -2, 2/3
Factor -3233*l**3 + 837*l - 121 + 119*l + 216 + 145 + 884*l**2 + 3218*l**3.
-(l - 60)*(3*l + 2)*(5*l + 2)
Let m = -188747/7 + 755037/28. Factor 0 + 1/2*b - b**3 - m*b**2.
-b*(b + 2)*(4*b - 1)/4
Let t(u) be the first derivative of 2*u**3/27 + 77*u**2/3 - 464*u/9 - 575. Find l such that t(l) = 0.
-232, 1
Let j(y) be the first derivative of 0*y - 16/35*y**5 + 0*y**2 - 38 - 1/21*y**6 - 6/7*y**4 + 0*y**3. Find v, given that j(v) = 0.
-6, -2, 0
Let h be (-2)/4*11/(-88)*4/1. Let o(p) be the third derivative of 5/96*p**4 + 0 + 1/240*p**5 - 22*p**2 + h*p**3 + 0*p. Factor o(b).
(b + 2)*(b + 3)/4
Let v(l) = l**3 + 2*l**2 + l - 2. Let y(g) = -7*g**3 - 22*g**2 + 427*g + 10. Let p(z) = 5*v(z) + y(z). Find u such that p(u) = 0.
-18, 0, 12
Let h(z) be the first derivative of z**5 + 20*z**4 + 105*z**3 + 230*z**2 + 220*z - 478. Let h(y) = 0. What is y?
-11, -2, -1
Let z(d) be the second derivative of 2/3*d**4 + 0 - 1/5*d**5 - 2/3*d**3 + 0*d**2 - 38*d. Factor z(y).
-4*y*(y - 1)**2
Let h(k) be the first derivative of 0*k - 2*k**2 + 2/15*k**5 - 10/9*k**3 + 1/3*k**4 - 2. Suppose h(f) = 0. What is f?
-3, -1, 0, 2
Let k(b) = b**2 - 12*b + 38. Let u be k(5). Suppose -u*i = 0, -4*z = -8*z + 4*i + 32. Factor -z*n**3 - 9/2*n + 1/2 + 12*n**2.
-(n - 1)*(4*n - 1)**2/2
Let m(n) be the first derivative of -44*n + 19 - 24*n**2 - 4/3*n**3. Factor m(p).
-4*(p + 1)*(p + 11)
Let z be (-1356)/(-902) + (-134)/2747. Factor 8/11*y**4 + z - 8/11*y + 2/11*y**5 + 2/11*y**3 - 20/11*y**2.
2*(y - 1)**2*(y + 2)**3/11
Suppose -82/3*g**2 + 0 - 82/3*g**3 - 14/3*g**4 + 10/3*g**5 - 8*g = 0. Calculate g.
-1, -3/5, 0, 4
Let h(q) be the first derivative of 4/7*q**3 + 56 + 3/28*q**4 - 33/14*q**2 - 90/7*q. Factor h(n).
3*(n - 3)*(n + 2)*(n + 5)/7
Let s(g) = 12*g**4 - 24*g**3 - 147*g**2 + 438*g - 279. Let d(o) = -3*o**4 + 6*o**3 + 37*o**2 - 110*o + 70. Let l(x) = 9*d(x) + 2*s(x). Sol