erivative of -1/14*p**4 - 54 - 10/7*p - 11/7*p**2 - 2/3*p**3. Suppose x(f) = 0. What is f?
-5, -1
Let y(r) be the second derivative of -r**7/21 - 22*r**6/15 - 7*r**5 + 274*r**4/3 - 793*r**3/3 + 338*r**2 - 1456*r. Solve y(p) = 0 for p.
-13, 1, 2
Let n(m) be the third derivative of m**8/26880 + m**7/210 + 4*m**6/15 + m**5/60 + 7*m**3 - 2*m**2 - 7. Let p(c) be the third derivative of n(c). Factor p(s).
3*(s + 16)**2/4
Suppose 10*k + 5*m - 18 = 7*k, -m = -3*k. Let i be k*3*(77 + -76). Solve 11*g**2 + 9*g**i + 3/2 + 1/2*g**5 + 13/2*g + 7/2*g**4 = 0 for g.
-3, -1
Let o = -77462/1261 + 6078/97. Solve 0 + o*g - 4/13*g**3 - 2/13*g**4 + 8/13*g**2 = 0 for g.
-2, 0, 2
Factor 13315*b**3 + 1057*b**3 + 151979*b**2 + 764314*b + 41248 + 2*b**5 - 1079478 + 290*b**4 + 107273*b**2.
2*(b - 1)*(b + 5)*(b + 47)**3
Let y(g) be the third derivative of -1/6*g**3 + 122*g**2 + 0*g + 0 + 1/48*g**4 + 1/40*g**5. Find b such that y(b) = 0.
-1, 2/3
Let o(z) = -z**3 + 20*z**2 - 12*z - 27. Let a(u) = 2*u**3 - 20*u**2 + 16*u + 26. Let i(w) = -5*a(w) - 6*o(w). Factor i(x).
-4*(x - 1)*(x + 2)*(x + 4)
Let f(v) be the first derivative of -v**3/5 + 528*v**2/5 - 92928*v/5 - 3005. Factor f(t).
-3*(t - 176)**2/5
Determine w so that -7280/11*w + 2/11*w**2 + 6624800/11 = 0.
1820
Let i(q) = 12*q**3 + 1475*q**2 + 1513*q - 5. Let o(d) = -15*d**3 - 1470*d**2 - 1515*d + 6. Let t(u) = 6*i(u) + 5*o(u). Factor t(p).
-3*p*(p - 501)*(p + 1)
Suppose 61 = 3*w + 4*h + 19, -51 = -3*w - h. What is r in -21*r - 19*r**2 - 13*r + w*r**2 + 11*r - 42 = 0?
-21, -2
Let b(h) = -2*h**2 + 36 + 2*h**2 - 2*h**2 - 13*h + 3*h**2. Let s be b(12). Factor 20 - 10*m**2 + 20*m**2 - s*m - 6*m**2.
4*(m - 5)*(m - 1)
Suppose 186 = 2*g + 2*k, 5*g + 6*k - 473 = 3*k. Suppose 113*w - w**4 - 28 - 127 + 151*w + 11 - g*w**2 - 22*w**3 = 0. Calculate w.
-12, 1
Let u(s) be the third derivative of -8*s**2 + 2 + 1/896*s**8 + 1/32*s**5 + 0*s + 1/80*s**7 + 0*s**4 + 11/320*s**6 + 0*s**3. Factor u(r).
3*r**2*(r + 1)**2*(r + 5)/8
Let v(w) be the first derivative of -2*w**5/95 + 13*w**4/19 - 94*w**3/19 - 364*w**2/19 - 392*w/19 + 8. Find k such that v(k) = 0.
-1, 14
Suppose -4*d = -d + m - 233, 127 = 2*d - 5*m. Suppose -3*a + 72 = r, 3*a - 3*r = 8 + d. Factor 17*w - 11 + a*w**2 + 108*w - 19 + 20*w**2.
5*(w + 3)*(9*w - 2)
Suppose -5*i - 2*x + 6 = 0, i + 8*x + 4 = 5*x. What is q in -2*q + 2/7*q**i + 12/7 = 0?
1, 6
Let z(y) be the first derivative of -361*y**7/560 - 19*y**6/16 + 9*y**5/10 - y**4/4 - 24*y**3 + 54. Let f(i) be the third derivative of z(i). Factor f(a).
-3*(a + 1)*(19*a - 2)**2/2
Let m = 1280 + -1278. Suppose -m*f - 6 = 3*t, -47*f = -3*t - 52*f - 15. Suppose -2/11*h + t - 4/11*h**2 - 2/11*h**3 = 0. Calculate h.
-1, 0
Suppose -h = q - 0*h - 17, 3*q - 5*h - 11 = 0. Factor -v**4 - 36*v**2 + 0*v**3 + 0*v**4 + v**4 + q*v**3 + 3*v**4.
3*v**2*(v - 2)*(v + 6)
Determine y, given that -100/3*y + 1178/3 + 2/3*y**2 = 0.
19, 31
Let g(i) be the first derivative of -i**5/5 - 39*i**4/4 + i**3/3 + 39*i**2/2 - 47. Factor g(f).
-f*(f - 1)*(f + 1)*(f + 39)
Suppose p - 16 = -2*l, -17*p = -12*p + l - 80. Factor 78*i + 4*i**3 - 66*i + 0*i**2 - p*i**2.
4*i*(i - 3)*(i - 1)
Let p(o) be the first derivative of -11/6*o**3 + 1/20*o**5 - 3*o**2 + 4*o - 25 - 1/3*o**4. Let v(u) be the first derivative of p(u). Factor v(q).
(q - 6)*(q + 1)**2
Let d(n) be the first derivative of -4*n**5/5 + 16*n**4 + 24*n**3 - 32*n**2 - 68*n + 680. What is f in d(f) = 0?
-1, 1, 17
Let r be (60/(-66) + (-1239)/(-1254))/((-6)/(-32)). Determine s, given that -10/19*s - 2/19*s**2 - r = 0.
-4, -1
Let n(l) = 3*l**2 + 3936*l - 484128. Let a(c) = 2*c**2 + 2952*c - 363096. Let j(t) = -11*a(t) + 8*n(t). Factor j(m).
2*(m - 246)**2
Let k(i) be the third derivative of -32 + 0*i + 5*i**2 + 1/30*i**5 - 1/480*i**6 + 3/32*i**4 + 0*i**3. Let k(u) = 0. Calculate u.
-1, 0, 9
Let r(s) = -8*s**3 + 24*s**2 + 28*s - 4. Let u(f) = 2*f - f - 12 - f**4 - 2*f**3 + 13 + 0*f + f**3. Let q(y) = r(y) + 4*u(y). Factor q(c).
-4*c*(c - 2)*(c + 1)*(c + 4)
Let z = 112 - 95. Suppose -z*s + 4*x - 2 = -12*s, 0 = -s - 5*x + 17. Factor -6/11*k**s - 54/11 - 36/11*k.
-6*(k + 3)**2/11
Let d be 6/21 + 2618/441 + -6. Let a(c) be the first derivative of -d*c**2 + 10 + 2/27*c**3 + 0*c. Factor a(n).
2*n*(n - 2)/9
Let y be 3320/4482 + (-2)/27. Suppose 0 + 0*h**2 + y*h**4 + 0*h - 2/3*h**3 = 0. Calculate h.
0, 1
Let g(c) be the third derivative of 5*c**8/336 + 4*c**7/7 + 197*c**6/24 + 123*c**5/2 + 270*c**4 + 720*c**3 + 6*c**2 + 161*c + 1. Let g(p) = 0. Calculate p.
-12, -4, -3, -2
Factor -11064/13*m - 2/13*m**2 - 15301512/13.
-2*(m + 2766)**2/13
Let u(v) be the third derivative of -v**5/90 + v**4/6 + 48*v**3 + 117*v**2 + v. Factor u(n).
-2*(n - 24)*(n + 18)/3
Let y(s) be the first derivative of -s**4/8 - 23*s**3/6 - 28*s**2 - 943. Factor y(d).
-d*(d + 7)*(d + 16)/2
Let i(m) = 2*m**3 + 19*m**2 + 22*m - 1. Let v be i(-8). Find k, given that -3*k - 12*k**5 + 0 - v*k + 0 + 20*k**4 - 180*k**3 + 79*k**4 + 111*k**2 = 0.
0, 1/4, 1, 6
Let q(l) be the second derivative of 13/54*l**4 + 17*l - 11/90*l**5 - 2/27*l**7 - 31/135*l**6 + 5/27*l**3 - 2/9*l**2 + 2. Suppose q(x) = 0. Calculate x.
-1, 2/7, 1/2
Let s(h) be the third derivative of 1/70*h**5 + 0 + 3/56*h**4 - 1/7*h**3 - 14*h**2 + 0*h. Factor s(y).
3*(y + 2)*(2*y - 1)/7
Solve 64/3 + 1/3*y**2 + 16/3*y = 0.
-8
Let k(t) be the first derivative of -35/3*t**3 + 10*t + 110 + 25/2*t**2. Determine d so that k(d) = 0.
-2/7, 1
Find z such that 1691*z**4 - z**5 + 1383*z**4 + 3752*z**3 - 3336*z**4 - 19782*z - 34060*z**2 + 2882*z - 21173*z**3 = 0.
-130, -1, 0
Let y be (-53)/(-11) - 14/(-77). Suppose 0*g = -4*g + 5*i + 18, 0 = -g - y*i - 8. Factor -1/3*c + 0 - 1/6*c**g + 1/6*c**4 + 1/3*c**3.
c*(c - 1)*(c + 1)*(c + 2)/6
Let q(y) be the second derivative of 3/140*y**5 - 27/7*y**2 - 3/14*y**3 + 1/7*y**4 + 32*y + 0. Let q(f) = 0. What is f?
-3, 2
Suppose 85*j = 187*j + 113*j - 430. Let o(b) be the first derivative of 28 + 3/10*b**j + 1/5*b**3 + 1/5*b + 1/20*b**4. What is n in o(n) = 0?
-1
Let l be -13 + (-745)/(-55) - 956/11. Let k = -86 - l. Factor 2/11*j**4 + 0*j + k*j**3 + 0 + 0*j**2.
2*j**3*(j + 2)/11
Factor 10/3*m + 176/5 - 2/15*m**2.
-2*(m - 33)*(m + 8)/15
Let b(c) be the first derivative of -c**3/21 + 5*c**2 - 201*c/7 + 1966. Determine z so that b(z) = 0.
3, 67
Determine f so that -165*f**4 - 288*f**3 + 126/5*f + 39*f**2 + 0 - 36/5*f**5 = 0.
-21, -2, -1/4, 0, 1/3
Let z = 3786 - 3782. Let j(h) be the second derivative of 4*h - 5/6*h**z + 0*h**3 + 0 + 0*h**2 + 1/4*h**5. Solve j(l) = 0 for l.
0, 2
Let n be 33/(-44) + 258/24. Let z be 6/4*4/(-3). Let l(y) = -y**2 + y - 1. Let j(b) = -4*b**2 + 5*b - 9. Let i(u) = n*l(u) + z*j(u). Factor i(g).
-2*(g - 2)*(g + 2)
Factor 2979 - 105*p**2 + 15*p**2 + 3139 - 5926 + 3*p**3 - 102*p - 3*p**2.
3*(p - 32)*(p - 1)*(p + 2)
Let j(u) be the third derivative of 0 - 1/10*u**6 - 2/5*u**5 + 4/3*u**4 + 0*u + 0*u**3 - 88*u**2 + 2/105*u**7. Suppose j(z) = 0. What is z?
-2, 0, 1, 4
Suppose -4*w + 3672 = -3*z, 2*w - 1231 - 605 = 4*z. Let f = 922 - w. Let -6*k - 10*k**2 + 0 - 3/2*k**5 + 5*k**f + 5/2*k**3 = 0. What is k?
-1, -2/3, 0, 2, 3
Let -46/3*l**3 - 28/3*l**2 - 10/3*l**5 + 56/3*l - 16/3 + 44/3*l**4 = 0. What is l?
-1, 2/5, 1, 2
Let y(c) be the third derivative of -c**8/2520 + c**7/1575 + c**6/450 - c**2 + 29. Solve y(j) = 0 for j.
-1, 0, 2
Let b = -45 - -67. Factor -45 - 7*k**2 + 14*k**2 - 2*k**2 + b*k + 8*k - 10*k**2.
-5*(k - 3)**2
Let j(y) = -5*y**2 + 589*y + 228. Let t(w) = -w**2 + 61*w + 1. Let z(p) = -j(p) + 6*t(p). Determine u, given that z(u) = 0.
-222, -1
Let h(a) = -6*a**2 + 34*a + 4. Let x = 66 - 46. Let f = x - 25. Let j(s) = -2*s**2 + 11*s + 1. Let v(c) = f*h(c) + 16*j(c). Factor v(z).
-2*(z - 2)*(z - 1)
Let h(n) be the second derivative of -1/30*n**6 + 9*n + 1/24*n**4 - 1/20*n**5 - 4 + 5/24*n**3 + 1/4*n**2 - 1/168*n**7. Factor h(y).
-(y - 1)*(y + 1)**3*(y + 2)/4
Let l(i) be the first derivative of 2/7*i**2 + 3/14*i**4 - 207 - 1/35*i**5 + 0*i - 3/7*i**3. Factor l(b).
-b*(b - 4)*(b - 1)**2/7
Let u(q) = -19*q - 93. Suppose -24*m - 195 = -75. Let a be u(m). Find c such that 363/2 - 33*c + 3/2*c**a = 0.
11
What is k in -48 - k**2 + 2248*k - 4*k**2 - 4541*k + 2233*k - 132 = 0?
-6
Let o be (0 + (-62)/1)/(-2). Suppose 297 = o*z - 28*z. Factor 99*k**2 - z*k**2 - 6*k - 4