cond derivative of x**6/135 + 19*x**5/18 - 82*x**4/9 + 796*x**3/27 - 400*x**2/9 + 208*x. What is b in f(b) = 0?
-100, 1, 2
Suppose 55*k**2 - 39928*k**3 + 39436*k**3 - 168*k**4 - 162*k - 2*k**5 - 543*k**2 = 0. What is k?
-81, -1, 0
Let a be (-78)/(-110) + ((-882)/99 - -9). Factor -a*f**2 - 14/5*f - 8/5 + 2/5*f**3.
2*(f - 4)*(f + 1)**2/5
Suppose 0 = 122*i - 15*i - 141347. Let m = 1321 - i. Factor m - 1/3*c**2 - 1/3*c**3 + 0*c.
-c**2*(c + 1)/3
Let n(x) be the third derivative of x**6/360 + x**5/30 + x**4/6 + 4*x**3/9 + 2*x**2 + 607*x. Factor n(r).
(r + 2)**3/3
Let a(n) be the second derivative of -1/6*n**4 - 1/30*n**5 + 0 + n**3 - 15*n - n**2. Let y(g) be the first derivative of a(g). Let y(m) = 0. Calculate m.
-3, 1
Let l(m) be the second derivative of -m**4/12 + 5*m**3/6 - 3*m**2 + 5*m - 46. Factor l(o).
-(o - 3)*(o - 2)
Let x(o) = -o**4 - o**3 - 2*o**2 + 3*o. Let a(s) = -178*s**3 + 372*s**2 - 6*s. Let m(q) = a(q) + 2*x(q). Factor m(i).
-2*i**2*(i - 2)*(i + 92)
Let q(u) be the second derivative of -u**5/50 + u**4/30 + 8*u**3/15 - 12*u**2/5 + 82*u + 4. Find m such that q(m) = 0.
-3, 2
Factor -890400*n**2 + 2358952 + 3*n**5 + 42180*n**3 - 273026 + 4362954 - 621*n**4 + 1637153 + 2203967 - 3528000*n.
3*(n - 70)**3*(n - 2)*(n + 5)
Let o(w) = 13*w**4 + 1155*w**3 + 35*w**2 + 5*w. Let v(u) = 19*u**4 + 1733*u**3 + 49*u**2 + 7*u. Let i(s) = -7*o(s) + 5*v(s). Factor i(x).
4*x**3*(x + 145)
Let n(l) = 2*l**2 - 30*l - 36. Let k be n(17). Factor -12*v - 45*v**2 + k - 3*v**4 + 28 - 10*v**3 + 21*v**3 + 13*v**3.
-3*(v - 5)*(v - 2)**2*(v + 1)
Let j be (28/(-20) + 6/15)*44. Let r = -40 - j. Factor 41*p + 26*p**2 - 12*p + 21*p**r + 34*p**2 + 69*p**3 - 17*p.
3*p*(p + 1)*(p + 2)*(7*p + 2)
Let i(r) be the first derivative of -5*r**3/9 - 3145*r**2 - 5934615*r - 7429. Determine p so that i(p) = 0.
-1887
What is j in -7/2*j - 23/3 + 1/6*j**2 = 0?
-2, 23
Factor -530/23*b - 696/23 + 2/23*b**3 + 168/23*b**2.
2*(b - 4)*(b + 1)*(b + 87)/23
Let l = -94076 + 94078. Solve -4 + 7/3*t - 1/3*t**l = 0.
3, 4
Factor 17/10*g + 6/5*g**2 - 29/10.
(g - 1)*(12*g + 29)/10
Suppose 185 = -9*x + 599. Let v = x - 410/9. Factor v + 2/9*l - 2/9*l**2.
-2*(l - 2)*(l + 1)/9
Let q(r) be the third derivative of r**6/1260 - 68*r**5/315 - 137*r**4/252 + 971*r**2 + 6. Suppose q(x) = 0. Calculate x.
-1, 0, 137
Let v(c) be the third derivative of c**5/270 + 13*c**4/27 - 585*c**2. Factor v(m).
2*m*(m + 52)/9
Let g(q) = 10*q**2 + 20*q + 20. Let c(u) = -8*u + 8*u + u - u**2 - u**3 - 1 + 0. Let m = 0 + 1. Let b(k) = m*g(k) + 5*c(k). Solve b(o) = 0.
-1, 3
Let f(t) be the first derivative of 2*t**5/65 + 30*t**4/13 + 152*t**3/13 + 224*t**2/13 - 1815. Suppose f(c) = 0. What is c?
-56, -2, 0
Let n(m) be the third derivative of -m**6/960 - m**5/96 + m**4/96 + m**3/2 - 2068*m**2 - m. Determine i, given that n(i) = 0.
-4, -3, 2
Suppose -399*r + 395*r = 0. Suppose -93 = -27*d - 4*d. Let r + 0*t - 1/5*t**d + 0*t**2 = 0. Calculate t.
0
Let t = 10/12987 + 571378/64935. Factor -t*i**2 + 212/5*i + 8.
-4*(i - 5)*(11*i + 2)/5
Suppose 0 = 4*g - 20, 2*g = k - 35 + 77. Let z be k/(-6) - -3*(-60)/135. Find w, given that 2*w**2 + 0 - 6/7*w - 10/7*w**3 + 2/7*w**z = 0.
0, 1, 3
Let m = 189928 - 189925. Suppose -2/7*o**m + 0 + 0*o - 2*o**2 = 0. What is o?
-7, 0
Let h(w) be the second derivative of -w**5/210 + w**4/14 + 16*w**3/21 - 45*w**2/2 + w - 63. Let o(z) be the first derivative of h(z). Find m such that o(m) = 0.
-2, 8
Let h(a) be the third derivative of 0 + 9/100*a**5 + 0*a**4 + 106*a**2 + 0*a + 0*a**3 + 1/200*a**6. Find f such that h(f) = 0.
-9, 0
Determine f so that -520/3 + 158*f**3 - 1201/3*f**2 - 7/3*f**4 - 734*f = 0.
-1, -2/7, 4, 65
Let g = 525777 - 525772. Factor 0*r + 4*r**g - 140/3*r**4 + 0 + 48*r**2 + 128*r**3.
4*r**2*(r - 6)**2*(3*r + 1)/3
Factor 1/4*p**4 + 17/2*p**3 + 1127 - 531/4*p**2 + 266*p.
(p - 7)**2*(p + 2)*(p + 46)/4
Suppose 316 = -246*k + 316. Let h(i) be the third derivative of 0*i + 0*i**4 + 1/270*i**5 + k*i**3 + 0 + 38*i**2. Find f such that h(f) = 0.
0
Let a = 1371/112 - -1347/16. Factor 855/7*q**2 + a*q**3 + 12/7 + 192/7*q.
3*(q + 1)*(15*q + 2)**2/7
Factor -477*i**3 + 93*i**3 + 1294947 + 1487190*i + 3*i**4 + 8346*i**2 - 1234902*i.
3*(i - 73)**2*(i + 9)**2
Let i(v) be the third derivative of 2*v**7/525 - 17*v**6/600 + 2*v**5/75 + 23*v**4/120 - v**3/5 - 4850*v**2. Solve i(g) = 0 for g.
-1, 1/4, 2, 3
Let x(i) = -4*i**4 - 56*i**3 - 136*i**2 - 32*i + 224. Let b(h) = 4*h**4 + 53*h**3 + 135*h**2 + 33*h - 222. Let j(r) = 4*b(r) + 3*x(r). Factor j(z).
4*(z - 1)*(z + 3)**2*(z + 6)
Let d(a) = a**4 + a**3. Let z(r) = -4*r**2 - 30*r + 4. Let x be z(-8). Let o(q) = 8*q**4 + 24*q**3 + 36*q**2 + 20*q. Let k(h) = x*d(h) + o(h). Solve k(c) = 0.
-1, 0, 5
Let i(j) be the first derivative of 2/3*j - 2/9*j**3 - 1/18*j**4 + 1/9*j**2 - 51. Factor i(b).
-2*(b - 1)*(b + 1)*(b + 3)/9
Let o(p) be the first derivative of -55 + 0*p**3 - 8/5*p**5 + 0*p**2 + 0*p - 8/3*p**6 - 1/4*p**4. Let o(h) = 0. What is h?
-1/4, 0
Let m(q) = -2*q - 7. Let c be m(-6). Suppose c*f - 35 = -5*w, -3*f + 30 = 2*f + 4*w. Factor 12 - p**f - 2*p**2 + 6*p - 4*p + 7*p.
-3*(p - 4)*(p + 1)
Let z(n) be the third derivative of 0 - 5/12*n**4 + 1/30*n**5 - 2*n**2 - 2*n**3 + 13*n. Let z(t) = 0. Calculate t.
-1, 6
Let n be 377*(-4)/390 - (-8)/2. Factor 0 - n*p**3 + 4/3*p - 2/5*p**2.
-2*p*(p - 2)*(p + 5)/15
Let q(k) be the third derivative of -k**7/15 + 37*k**6/3 - 19451*k**5/30 - 2809*k**4/6 + 2059*k**2. Determine r so that q(r) = 0.
-2/7, 0, 53
Suppose -1781 + 3*g**2 - 2*g - 4*g**2 + 1789 = 0. Calculate g.
-4, 2
Suppose 46*h - 121 - 109 = 0. Solve -130*p**4 - 350*p**2 + 115*p + h*p**5 - 2840 + 2840 + 441*p**3 - 81*p**3 = 0.
0, 1, 23
Let z(g) be the third derivative of -49*g**6/60 - 17*g**5/10 - g**4/6 + 4*g**2 - 3*g + 73. Let z(a) = 0. Calculate a.
-1, -2/49, 0
Let q(j) = -3*j + 3. Let y be q(8). Let d = -18 - y. Factor i**4 - i**5 + i**d + 19*i - 4 + 2*i**4 + 15*i - 11*i**2 - 22*i.
-(i - 2)*(i - 1)**3*(i + 2)
Let g = -10775470/5873759 - -1/330916. Let z = -6/71 - g. Suppose 9/4*m**5 + 1/4*m**2 + 15/4*m**4 + 0*m + z*m**3 + 0 = 0. Calculate m.
-1, -1/3, 0
Let l(p) be the second derivative of -1/540*p**5 + 0*p**4 + 0 - 1/2*p**3 + 1/810*p**6 + 7*p + 1/2*p**2. Let c(h) be the second derivative of l(h). Factor c(t).
2*t*(2*t - 1)/9
Let c be 20/(-6)*9/(-6). Let u(z) = -4*z**4 + 3*z**3 - 3*z - 1. Let p = 214 - 213. Let h(r) = r**4 - r**2 + 1. Let j(y) = c*h(y) + p*u(y). Factor j(q).
(q - 1)**2*(q + 1)*(q + 4)
Suppose -5*m - 4*b + 30 = 0, 22*m - 3*b + 23 = 26*m. Let p(d) be the first derivative of 2/5*d**m + 3/5*d + 4 + 1/15*d**3. Determine k so that p(k) = 0.
-3, -1
Let w(x) be the second derivative of -7*x**6/10 + 33*x**5/2 - 104*x**4 - 64*x**3 - 8*x - 1. Let w(v) = 0. Calculate v.
-2/7, 0, 8
Let x be 572/13 - (-5 + 2 + 1). Factor 20*y + 12 - 2*y**2 - 22*y + x*y - 54.
-2*(y - 21)*(y - 1)
Let c(o) be the first derivative of -o**5 - 100/3*o**3 - 78 + 30*o**2 + 0*o + 45/4*o**4. Find m, given that c(m) = 0.
0, 1, 2, 6
Let b(s) be the second derivative of -5*s**4/6 + 2462*s**3/3 + 1479*s**2 + s - 4371. What is o in b(o) = 0?
-3/5, 493
Let z(x) = -5*x**2 - 214*x. Let q(k) be the second derivative of 5*k**4/6 + 143*k**3/2 + 6*k. Let r(n) = -4*q(n) - 9*z(n). Factor r(j).
5*j*(j + 42)
Let f(p) = 2*p + 2. Let a(j) = -2*j**3 - 4*j**2 + 14*j + 8. Suppose -31*s + 20 + 11 = 0. Let g(y) = s*a(y) - 4*f(y). Factor g(x).
-2*x*(x - 1)*(x + 3)
Let y(r) = 23*r**4 + 210*r**3 - 493*r**2 + 19*r - 19. Let p(z) = -12*z**4 - 104*z**3 + 246*z**2 - 10*z + 10. Let c(n) = 19*p(n) + 10*y(n). Factor c(g).
2*g**2*(g - 2)*(g + 64)
Let r(l) be the second derivative of -5*l**7/42 + l**6/3 + 2*l**5 + 5*l**4/6 - 35*l**3/6 - 10*l**2 + 5*l - 59. Factor r(v).
-5*(v - 4)*(v - 1)*(v + 1)**3
Factor -79/3*c + 28 + 1/3*c**3 - 2*c**2.
(c - 12)*(c - 1)*(c + 7)/3
Let y(h) be the first derivative of h**6/15 + 14*h**5/25 - 53*h**4/10 - 114*h**3/5 + 1296*h**2/5 - 3456*h/5 + 1545. Determine p so that y(p) = 0.
-8, 3
Let -212/9 - 4/9*s**2 + 24*s = 0. Calculate s.
1, 53
Let m(g) be the first derivative of 5/3*g**3 + 15/2*g**2 + 162 - 20*g. Solve m(v) = 0 for v.
-4, 1
Suppose o + 3*w = 246, -3*o + 8*o - 1242 = -3*w. Factor 15*r**3 - 252*r**4 + o*r**4 - 6*r**2 - 11*r + 12 - 3*r**2 - 4*r.
-3*(r - 4)*(r - 1)**2*(r + 1)
Factor