6/144 - 7*x**4/12 + 90*x. Let m(k) be the third derivative of z(k). What is v in m(v) = 0?
0, 19
Let m(j) be the third derivative of j**6/420 + 11*j**5/21 + 109*j**4/84 - 1486*j**2. Suppose m(t) = 0. What is t?
-109, -1, 0
Let g(c) be the third derivative of 0*c + 0 - 1/900*c**6 + 1/150*c**5 - 6*c**2 + 0*c**4 - 8/3*c**3. Let f(k) be the first derivative of g(k). Factor f(r).
-2*r*(r - 2)/5
Let o(c) be the second derivative of 14*c + 7 - 5/3*c**3 - 1/6*c**4 + 0*c**2. Determine s so that o(s) = 0.
-5, 0
Let j(l) be the first derivative of -3*l**4/4 - 64*l**3 - 885*l**2/2 - 548. Factor j(c).
-3*c*(c + 5)*(c + 59)
Let g be (-104)/(-16)*(-72)/(-702). Find j, given that 32/3*j - 128/3*j**2 - g = 0.
1/8
Let r(x) be the third derivative of x**6/40 - 13*x**5/20 - 23*x**4/4 - 16*x**3 + 5513*x**2. Find h such that r(h) = 0.
-2, -1, 16
Suppose 2*m - 7 = -k, 2*m - 5*k = -2656 + 2645. Factor -26/5*w**3 - 2/5*w**4 - 22/5*w + 0 - 46/5*w**m.
-2*w*(w + 1)**2*(w + 11)/5
Let q = 139 + -388. Let j be -8 - (1 + q/27). Solve j*a**2 + 0 - 4/9*a = 0 for a.
0, 2
Factor -11236/5*l - 212/5*l**2 - 1/5*l**3 + 0.
-l*(l + 106)**2/5
Let k(f) be the first derivative of -1/3*f**4 + 2/9*f**3 - 54 + 2/3*f**2 - f + 1/15*f**5. Find u such that k(u) = 0.
-1, 1, 3
Let j(d) be the first derivative of 2*d**2 - 1/6*d**3 - 145 - 6*d. Let j(o) = 0. What is o?
2, 6
Let c = -25910 + 25913. What is w in -6/5*w**2 + 6/5*w**4 + 0*w + 3/5*w**c - 3/5*w**5 + 0 = 0?
-1, 0, 1, 2
Let k be (-6)/(-21) + 2787/315 - (-892)/(-1115). Let d(n) be the first derivative of 36 + 20*n + k*n**3 + 5/4*n**4 + 20*n**2. Factor d(h).
5*(h + 1)*(h + 2)**2
Let a(q) be the third derivative of -q**7/4200 - q**6/600 + q**5/60 + 20*q**3/3 - 96*q**2. Let v(l) be the first derivative of a(l). Factor v(z).
-z*(z - 2)*(z + 5)/5
Let a = 919/788 - 82/197. Let r(c) be the second derivative of 0*c**2 + 15/4*c**4 - 2/3*c**6 - 5/3*c**3 + 0 - a*c**5 - 12*c. Factor r(o).
-5*o*(o - 1)*(o + 2)*(4*o - 1)
Let w(m) be the third derivative of m**7/168 + 39*m**6/160 + 87*m**5/80 + 191*m**4/96 + 7*m**3/4 + 96*m**2 + 2*m + 1. Find g such that w(g) = 0.
-21, -1, -2/5
Let l be 50/(-175) + (-9085)/273. Let v = 458/13 + l. Factor -4*r**3 + 11/3*r**2 + 2*r + 0 - v*r**4.
-r*(r - 1)*(r + 3)*(5*r + 2)/3
Let u(w) = -2*w**2 + 2*w + 2. Let n be u(0). Factor 4*x**3 + 25*x**n + x**3 + 10*x - 480 + 440.
5*(x - 1)*(x + 2)*(x + 4)
Let x be ((-7203)/(-19208))/(2 + 15/(-8)). Determine c, given that 0 + 60/13*c + 2*c**2 + 2/13*c**x = 0.
-10, -3, 0
Let p(q) = 3*q**2 + 271*q + 1196. Let w(h) = 8*h**2 + 541*h + 2396. Let j(z) = 9*p(z) - 4*w(z). Determine v, given that j(v) = 0.
-4, 59
Suppose 0 = 4*u + 12, -305 + 2511 = -2*s - 2*u. Let r = -1098 - s. Find h such that -22/15*h**3 - 4/15 - 2/5*h**4 - 6/5*h - 2*h**r = 0.
-1, -2/3
Let z = -338 + 343. Let -797*k**3 - k + k**5 - 2*k**z + 28*k + 4*k**4 + 803*k**3 - 36*k**2 = 0. What is k?
-3, 0, 1, 3
Factor -324818/5 - 1612/5*d - 2/5*d**2.
-2*(d + 403)**2/5
Let r be 77 - 84 - (104 - 2)/(-6). Find g such that -49/4*g**4 + 175/4*g**3 + 201/2*g**2 + r - 67*g = 0.
-2, 2/7, 5
Factor 4*a**3 - 7*a**4 + 17*a**2 - 2421*a + 1228*a + 1199*a.
-a*(a - 2)*(a + 1)*(7*a + 3)
Let h be ((-32)/(-56))/(-1*2) + 16/7. Let z(u) be the first derivative of 0*u**3 + 5 - 3/5*u**5 + 0*u**h + 3/4*u**4 + 0*u. Let z(k) = 0. What is k?
0, 1
Let t(q) = -101*q - 7115 - 7367 + 14081. Let z be t(-4). Factor -4/7*v**2 - 2/7*v + 2/7*v**z + 4/7.
2*(v - 2)*(v - 1)*(v + 1)/7
Let p(k) be the third derivative of 2*k**5/15 - 13*k**4/12 - 35*k**3/3 + 3*k**2 + 90*k. Find j such that p(j) = 0.
-7/4, 5
Let u(c) = -125*c**2 + 110*c + 100. Let y(o) = -2*o**2 + 16*o + 3*o**2 - 2 - 6*o + 11 - 12*o**2. Let f(t) = -4*u(t) + 45*y(t). Factor f(i).
5*(i + 1)**2
Suppose -36 = 60*m - 72*m. Suppose -2*g + 9 = h, 0 = -m*h + 6*h - 3. Determine b so that 9/7*b**3 + 6/7*b + 3/7*b**g + 0 - 3/7*b**5 - 15/7*b**2 = 0.
-2, 0, 1
Suppose -4*l + 4134 = -5*j + 3*j, 5*l = -2*j + 5163. Let u = -1033 + l. Suppose 4*k**2 + u + 12/5*k**4 - 24/5*k**3 - 2/5*k**5 - 6/5*k = 0. Calculate k.
0, 1, 3
Let f(o) be the first derivative of -o**4/10 - 18*o**3/5 - 26*o**2/5 + 721. Factor f(n).
-2*n*(n + 1)*(n + 26)/5
Factor 867/7*z**2 + 12/7*z**3 + 243 + 7020/7*z.
3*(z + 9)*(z + 63)*(4*z + 1)/7
Let t be (0 - (-51)/3) + 2 + -5. Let q = t + -10. Determine b so that 4*b + q - 4 + 4 + b**2 = 0.
-2
Let z(i) be the third derivative of i**6/200 + 457*i**5/100 + 1288*i**4 - 15870*i**3 + 2381*i**2 + 1. What is p in z(p) = 0?
-230, 3
Let x(z) be the third derivative of z**5/210 + 839*z**4/168 - 10*z**3 - z**2 + 256*z. Factor x(m).
(m + 420)*(2*m - 1)/7
Let o(x) = 15*x**2 - 12*x - 32. Let z be o(2). Let w(l) be the second derivative of 5*l + 10/3*l**3 - 15/2*l**2 - 5/12*l**z + 0. Factor w(g).
-5*(g - 3)*(g - 1)
Let c(b) be the first derivative of 4*b**4/3 - 97*b**3/9 + 25*b**2 - 3*b - 685. Factor c(x).
(x - 3)**2*(16*x - 1)/3
Let j = -560 - 4854. Let p = 37970/7 + j. Factor 2/7*k**2 - 24/7*k + p.
2*(k - 6)**2/7
Let p(r) be the second derivative of -r**6/120 - 7*r**5/20 + 5*r**4/8 + 7*r**3/6 - 29*r**2/8 + 7155*r. Factor p(j).
-(j - 1)**2*(j + 1)*(j + 29)/4
Suppose -11*u + 2*d = -7*u - 16, -d - 14 = -5*u. Determine r so that -55*r - 5 - 5*r**3 + 30*r + 5*r**u + 30*r = 0.
-1, 1
Let k be 352/(-1368)*-3 + (-16)/152. Factor -10 - 4/3*y + k*y**2.
2*(y - 5)*(y + 3)/3
Let o(t) be the third derivative of -t**2 - t**3 - 1/40*t**6 + 17 + 0*t + 3/8*t**4 + 0*t**5. Find s such that o(s) = 0.
-2, 1
Let m(q) be the second derivative of -23*q + 25/12*q**3 + 0*q**2 + 0 - 1/16*q**5 - 5/16*q**4. Determine u so that m(u) = 0.
-5, 0, 2
Let 90/11*z - 6/11*z**2 + 456/11 = 0. What is z?
-4, 19
Suppose 0 = 2*a + 4*y + 16, -5*a + 0*y = -4*y + 26. Let p be -1*(a + 5)*2. Factor 1/5*s**p - 1/5*s + 1/5*s**3 - 1/5.
(s - 1)*(s + 1)**2/5
Let n(b) = 4*b**3 + 2*b**2 + 4*b. Let l be 3 + 1 - (-16 - -16). Let j(f) = 5*f**3 + f**2 + 3*f - 1. Let k(q) = l*n(q) - 3*j(q). Solve k(r) = 0 for r.
-3, -1
Let o = -319 + 322. Determine p so that -17*p**4 - 2187*p + 20*p**4 - 81*p**o + 340*p**2 + 389*p**2 = 0.
0, 9
Let r(t) be the third derivative of t**7/140 + 33*t**6/40 + 16*t**5/5 - 14*t**2 + 9*t. Factor r(q).
3*q**2*(q + 2)*(q + 64)/2
Let l(m) = m**3 + 16*m**2 - 7*m - 16. Let s(b) = b**2 + b - 1. Let i(n) = l(n) + 6*s(n). Let p be i(-22). Factor p*k**3 + 0 - 1/5*k**4 + 0*k + 1/5*k**2.
-k**2*(k - 1)*(k + 1)/5
Suppose 38*c - 43 = 62 - 29. Let f(r) be the first derivative of 13 + 0*r**c - r**5 + 9/2*r**4 + 4*r - 17/3*r**3. What is p in f(p) = 0?
-2/5, 1, 2
Let m(p) be the first derivative of 55/3*p**3 + 60*p + 70*p**2 + 42. Find o, given that m(o) = 0.
-2, -6/11
Let w(g) be the first derivative of g**6/27 - 38*g**5/9 - g**4/9 + 380*g**3/27 + g**2/9 - 190*g/9 + 5684. Suppose w(j) = 0. What is j?
-1, 1, 95
Let b(k) = -k**3 + k**2 + k + 1. Let x(w) = -1250*w**5 + 20750*w**4 + 164774*w**3 + 421146*w**2 + 462874*w + 188442. Let q(r) = 26*b(r) - x(r). Factor q(g).
2*(g - 23)*(5*g + 8)**4
Suppose -132/5 + 1/5*y**2 - 64/5*y = 0. What is y?
-2, 66
Factor -511*p**3 + 8*p**4 + 20736*p - 274*p**3 + 6*p**5 - 2*p**5 - 576*p**2 + 213*p**3.
4*p*(p - 8)**2*(p + 9)**2
Let q(d) be the second derivative of -d**7/28 - 3*d**6/5 + 6*d**5/5 + 17*d**4/4 - 63*d**3/4 + 39*d**2/2 - 10*d + 44. Find u, given that q(u) = 0.
-13, -2, 1
Suppose -6/5*l**4 + 72/5*l**2 + 18/5*l**3 + 288/5 - 312/5*l = 0. What is l?
-4, 2, 3
Suppose 5*c - 44 = l, 2*l - 3*c - 84 = 6*l. Let y be 4/6 - 176/l. Factor -y*x**2 - x**2 - 4*x**3 + 3*x**2 + 8 - 2*x**2 + 4*x.
-4*(x - 1)*(x + 1)*(x + 2)
Let f(t) be the second derivative of -t**6/15 - t**5/5 + 4*t**4/3 + 6*t**3 + 9*t**2 + 1014*t. Factor f(h).
-2*(h - 3)*(h + 1)**2*(h + 3)
Let -239 + 76*b**4 + 17*b + 994*b**2 + 663*b - 209 + 4034*b**2 - 9890*b**3 + 99*b**4 = 0. Calculate b.
-2/7, 2/5, 56
Let h = -9 - -23. Let x = -11 + h. Let 0*w**5 - 4*w**5 - 4*w**2 - 5*w**4 - 12*w**4 + 5*w**4 - 12*w**x = 0. Calculate w.
-1, 0
Let i(r) be the second derivative of -220*r + 0*r**4 + 0 - 3/7*r**2 + 3/140*r**5 - 3/14*r**3. Find d such that i(d) = 0.
-1, 2
Let u(a) be the second derivative of a**5/75 + a**4/3 - 22*a**3/15 + 41*a**2/2 - 122*a. Let o(w) be the first derivative of u(w). Suppose o(q) = 0. Calculate q.
-11, 1
Let f(a) be the third derivative of -a**6/1440 + 7*a**5/360 - 5*a**