be the third derivative of x*g + 1/22*g**4 - 1/330*g**5 - 3/11*g**3 + 0 + 29*g**2. Factor f(s).
-2*(s - 3)**2/11
Let u = 209 + -207. Find x, given that -10*x**3 - 5*x + 2*x**4 - 5*x**3 + 0*x**2 - 15*x**u - 7*x**4 = 0.
-1, 0
Let a(n) = -n + 10. Let k be a(11). Let g(p) = -2*p**3 - 2*p**2 + p + 3. Let m be g(k). What is c in -1356*c**2 + 1340*c**m - c**3 + 4*c - 8*c**3 = 0?
-2, 0, 2/9
Let l(t) be the first derivative of t**6/24 + 357*t**5/20 + 32393*t**4/16 + 31565*t**3/4 + 31329*t**2/4 - 8468. Solve l(u) = 0 for u.
-177, -2, -1, 0
Suppose 3*s - 7 = -s + d, 2*d = 3*s + 1. Let y(x) be the second derivative of -1/2*x**2 + 0 - 26*x + 3/4*x**s - 3/8*x**4. Factor y(j).
-(3*j - 2)*(3*j - 1)/2
Let r(d) be the third derivative of d**7/210 + 11*d**6/40 + 73*d**5/12 + 489*d**4/8 + 189*d**3 + 9253*d**2. Find t such that r(t) = 0.
-14, -9, -1
Suppose 28/15*j**3 + 30*j**2 + 34/5 - 436/15*j = 0. What is j?
-17, 3/7, 1/2
Let r be (3 + 30/(-4))*240/36. Let g be (-11 - (-4796)/420) + 4/r. Factor 10/7*n - g*n**3 + 4/7*n**2 - 12/7.
-2*(n - 3)*(n - 1)*(n + 2)/7
Let g be 2/8 + (-33)/(-12). Let q(c) = 51*c**2 + 675*c + 158. Let i be q(-13). Let -12/5 - 6/5*y**i + 3/5*y**g - 21/5*y = 0. What is y?
-1, 4
Let h(g) be the first derivative of -138*g + 32*g**3 + 288*g**2 + 19 + 53 + g**4 + 138*g. Factor h(u).
4*u*(u + 12)**2
Let v(a) = -4*a**3 + 1. Let c be v(-1). Let l(m) = 4*m - 6. Let i be l(2). Suppose -96 - i*k**2 - c*k + 2*k**3 - k**3 + 102 = 0. Calculate k.
-2, 1, 3
Let w be -14 - (-2860)/198 - 28/(-18). Determine d so that -8/5*d**w + 0 + 6/5*d = 0.
0, 3/4
Let a = 1692278 + -21999538/13. Suppose 152/13*s + a*s**2 - 10/13*s**4 - 14/13*s**3 + 48/13 = 0. Calculate s.
-2, -2/5, 3
Factor -43/3*a + 119/6*a**2 - 1/2 - 5*a**3.
-(a - 3)*(a - 1)*(30*a + 1)/6
Suppose -2*m - 17 = -3*t, 11 = -3*t - 61*m + 56*m. Factor -14/5*c - 8/5 + 2/5*c**t - 4/5*c**2.
2*(c - 4)*(c + 1)**2/5
Let t(r) be the third derivative of r**6/540 - r**5/27 + r**4/4 - 2*r**3/3 + 6108*r**2. Factor t(z).
2*(z - 6)*(z - 3)*(z - 1)/9
Let j = 2824 + -1771. Let o = j - 1051. Factor -1/3*b**4 - 2/3*b**o + 0*b + 0 - b**3.
-b**2*(b + 1)*(b + 2)/3
Let y(m) be the second derivative of m**8/3360 - m**7/126 + m**6/40 - 5*m**4/4 + 17*m. Let p(h) be the third derivative of y(h). Find u, given that p(u) = 0.
0, 1, 9
Let d(a) be the first derivative of 5*a**3/3 - 11*a**2/2 + 24*a + 7. Let u(m) = -m**2 + 1. Let k(v) = d(v) + 4*u(v). Let k(s) = 0. What is s?
4, 7
Let q(z) be the first derivative of -z**6/40 + z**5/90 + z**4/8 - z**3/9 + 45*z**2 - 70. Let r(j) be the second derivative of q(j). Factor r(g).
-(g - 1)*(g + 1)*(9*g - 2)/3
Let 501*q**2 - 81*q**2 + 455*q**3 - 4*q**4 - 583*q**3 = 0. Calculate q.
-35, 0, 3
Let s(j) be the first derivative of -j**6/120 - 7*j**5/30 - 19*j**4/8 - 12*j**3 - 76*j**2 - 206. Let a(l) be the second derivative of s(l). Factor a(t).
-(t + 3)**2*(t + 8)
Let i(d) be the third derivative of -1/32*d**6 - 9/560*d**7 - 3*d**2 + 0*d - 3 + 0*d**4 + 3/160*d**5 + 1/224*d**8 + 0*d**3. Let i(g) = 0. What is g?
-1, 0, 1/4, 3
Factor -1/4*o**2 - 3/4*o + 9/2.
-(o - 3)*(o + 6)/4
Let u(f) = 3*f**2 + 96*f + 278. Suppose 7*t + 13 - 48 = 0. Let d(i) = 8*i**2 + 240*i + 696. Let o(y) = t*d(y) - 12*u(y). Let o(n) = 0. Calculate n.
-6
Let x(b) be the second derivative of b**4/4 - 63*b**3 + 1815*b**2/2 + 1398*b. Find c such that x(c) = 0.
5, 121
Let d(h) be the second derivative of -1/24*h**4 + 0*h**2 - 154*h - 3/40*h**5 + 1/4*h**3 + 1/60*h**6 + 2. Solve d(p) = 0 for p.
-1, 0, 1, 3
Let v(s) be the third derivative of -s**8/504 + 11*s**6/180 - s**5/5 + 2*s**4/9 + 15*s**2 + 2*s. Determine n, given that v(n) = 0.
-4, 0, 1, 2
Suppose -17*t = -14*t - 2*f - 11, 3*f + 14 = 4*t. Suppose 0 = t*q - q - 7*q. Factor -k**2 - 1/2*k**3 + q + 0*k.
-k**2*(k + 2)/2
Let y(p) = -3 - 7 - 10 - p + 4. Let g be y(-18). Factor g*r - 8*r + 21*r**2 - r**4 + 16*r**4 - 3*r**5 - 20*r**3 - 7*r**3.
-3*r*(r - 2)*(r - 1)**3
Factor 2*h**3 + 281*h**2 - 98*h**2 + 2*h - 101*h**2 + 4*h**4 + 4 - 94*h**2.
2*(h - 1)**2*(h + 2)*(2*h + 1)
Let k(z) be the third derivative of z**7/210 - 13*z**6/30 - 28*z**5/15 + 26*z**4/3 + 72*z**3 - 2723*z**2. Solve k(d) = 0 for d.
-2, 2, 54
Let c be 18200/3500*(60/18)/((-8)/(-9)). Solve -1/2*f**2 + 8*f - c = 0 for f.
3, 13
What is p in -7*p**4 - 22*p**3 - 40898*p**5 + 4*p**4 + 72*p + 40899*p**5 + 12*p**2 = 0?
-3, -2, 0, 2, 6
Let h(o) be the second derivative of -o**5/210 + 293*o**4/42 - 85849*o**3/21 + 25153757*o**2/21 + 4*o + 7. Determine i, given that h(i) = 0.
293
Suppose -24*s**2 - 3/5*s**5 + 12/5*s**4 + 6*s**3 - 27/5*s + 108/5 = 0. What is s?
-3, -1, 1, 3, 4
Suppose 0 = -3*m - 11883 + 579. Let p = 5321 + m. Factor p + 6*r**2 - 6*r**4 + 2*r - 1553 - 2*r**3.
-2*r*(r - 1)*(r + 1)*(3*r + 1)
Let c = 208222 + -624661/3. Factor 0 + 1/3*h**3 - c*h**2 + 0*h.
h**2*(h - 5)/3
Let z(r) be the second derivative of r**6/2340 - r**5/156 - 2*r**4/13 - 38*r**3/3 - 63*r. Let c(y) be the second derivative of z(y). Factor c(p).
2*(p - 8)*(p + 3)/13
Factor 35 + 0*p**2 + 259 - 35442*p + 35350*p - 2*p**2.
-2*(p - 3)*(p + 49)
Let f(z) be the third derivative of -z**6/60 - 133*z**5/30 + 269*z**4/12 - 45*z**3 - z**2 + 251. Suppose f(q) = 0. Calculate q.
-135, 1
Let j(v) = -v**3 + v**2 - v - 5. Let t be j(-3). Let h = t - 30. Factor 9*x**3 - 36 + 0*x**4 + 4*x**3 - 7*x**3 + 14*x**2 - 30*x - 2*x**h.
-2*(x - 3)**2*(x + 1)*(x + 2)
Let b(t) be the first derivative of -t**4/32 + 9*t**3/8 - 195. Let b(j) = 0. What is j?
0, 27
Let p(s) be the third derivative of -81/2*s**3 - 9/4*s**4 - 94*s**2 - 1/20*s**5 + 0*s + 0. Determine h, given that p(h) = 0.
-9
Suppose 108/5*n + 1/5*n**2 + 0 = 0. What is n?
-108, 0
Let h = -3/31654 + 18091/31654. Suppose h - 12/7*n**3 + 38/7*n**2 - 30/7*n = 0. What is n?
1/6, 1, 2
Determine t so that 507882*t**2 + 409*t + 1041*t + 482*t + 425274*t**2 + 1 + 0 = 0.
-1/966
Suppose 19*c = -31844 + 31901. Factor 0 + 0*m - 1/8*m**2 - 1/8*m**c.
-m**2*(m + 1)/8
Let a(x) be the second derivative of x**4/36 - 82*x**3/9 - 166*x**2/3 - 14*x - 18. Factor a(n).
(n - 166)*(n + 2)/3
Let q(s) be the first derivative of -35*s**6/9 + 64*s**5/15 + 131*s**4/6 - 184*s**3/9 - 12*s**2 - 3039. Let q(f) = 0. Calculate f.
-9/5, -2/7, 0, 1, 2
Let j(c) be the second derivative of 0*c**2 + 0 + 1/12*c**3 + 1/8*c**4 + 1/40*c**6 + 13/160*c**5 + 1/336*c**7 + 33*c. Suppose j(f) = 0. Calculate f.
-2, -1, 0
Let u be 1 + 10 - 29866/2740. Let a(x) be the second derivative of -1/45*x**6 + 1/9*x**3 + u*x**5 + 0*x**2 + 0 - 1/6*x**4 - 18*x. Let a(r) = 0. What is r?
0, 1
Let d(g) = -2*g**2 + 313*g - 4304. Let p(u) = u**2 - 104*u + 1437. Let c(a) = 6*d(a) + 17*p(a). Find q such that c(q) = 0.
-31, 9
Suppose -11245*w = -11343*w. Factor 2/7*h**2 + 4/7*h**3 + 2/7*h**4 + w + 0*h.
2*h**2*(h + 1)**2/7
Let h = -84204 - -252614/3. Factor 4/3*o**4 - 4/3*o**2 - h*o**5 + 2/3*o + 0*o**3 + 0.
-2*o*(o - 1)**3*(o + 1)/3
Let q(g) be the third derivative of -g**5/10 + 35*g**4/8 - 33*g**3/2 - 150*g**2. Determine x so that q(x) = 0.
1, 33/2
Let p(t) = -70*t**2 - 800*t - 826. Let w(f) = 11*f**2 + 123*f + 127. Let s(l) = -5*p(l) - 32*w(l). Find h such that s(h) = 0.
-1, 33
Let z(q) be the third derivative of -q**6/2880 - q**5/30 - 127*q**3/6 + 53*q**2. Let v(f) be the first derivative of z(f). Find y, given that v(y) = 0.
-32, 0
Factor 38118276 + 388962*p + 1323*p**2 + 3/2*p**3.
3*(p + 294)**3/2
Factor -6*t + 1/2*t**2 - 80.
(t - 20)*(t + 8)/2
Let i(b) be the first derivative of -4*b**5/5 + 3*b**4 + 40*b**3/3 - 48*b**2 - 77. Determine h so that i(h) = 0.
-3, 0, 2, 4
Let w(s) = s**5 - 13*s**4 + 12*s**3 + 3*s**2 + 6*s - 3. Let f(o) = -o**5 + 13*o**4 - 12*o**3 - 4*o**2 - 8*o + 4. Let a(p) = 3*f(p) + 4*w(p). Factor a(j).
j**3*(j - 12)*(j - 1)
Suppose -2*h = -50*h. Let x(b) be the third derivative of 0*b**4 - 1/690*b**6 + h + 0*b - 1/2415*b**7 - 1/690*b**5 + 0*b**3 + 4*b**2. Factor x(i).
-2*i**2*(i + 1)**2/23
Suppose 3*b + 38 = -l, 0*l = 2*l - 5*b + 98. Let d be 18/99 + (-80)/l. Factor -9*i - 12 - 3/2*i**d.
-3*(i + 2)*(i + 4)/2
Factor 620/7*d + 72/7 + 608/7*d**2 + 60/7*d**3.
4*(d + 1)*(d + 9)*(15*d + 2)/7
Let a = 136 - 131. Factor -100*l**3 - 1628*l + 8 + 1728*l - a*l**2 - l**2 - 2*l**2.
-4*(l - 1)*(l + 1)*(25*l + 2)
Let f(u) be the third derivative of u**8/1680 - u**7/350 - u**6/25 + 34*u**5/75 - 