 -626005 - -3130044/5. Solve -6/5 + 5*r - u*r**2 = 0 for r.
6/19, 1
Let q(v) = -5*v**2 - 26*v + 66. Let s(k) = 30*k**2 + 155*k - 395. Suppose 80 = -2*t + 4*f + 18, -5*f + 95 = -3*t. Let n(m) = t*q(m) - 6*s(m). Factor n(g).
-5*(g - 2)*(g + 6)
Let m(s) be the third derivative of s**8/1680 + 2*s**7/45 + 49*s**6/45 + s**4/8 + 5*s**3 + 44*s**2. Let r(d) be the second derivative of m(d). Factor r(c).
4*c*(c + 14)**2
Let w(b) = -2*b**4 - 8*b**3 + 50*b**2 + 49*b - 7. Let x(m) = 3*m**4 + 12*m**3 - 75*m**2 - 73*m + 11. Let g(p) = -11*w(p) - 7*x(p). Solve g(j) = 0 for j.
-7, -1, 0, 4
Suppose w - 70 = -t - 2*t, -2*t + 32 = -3*w. Suppose -39*g + t = -95. Find o, given that 3/8*o**g + 3/2 - 3/2*o - 3/8*o**2 = 0.
-2, 1, 2
Let i(w) be the third derivative of -1 - 64/9*w**4 - 46/15*w**5 - w**2 + 0*w - 2/63*w**7 - 47/90*w**6 - 64/9*w**3. Let i(g) = 0. What is g?
-4, -1, -2/5
Suppose -27 = 4*z - 3*l, -54 = 38*z - 33*z - 6*l. Suppose -32/7*c**2 + 2/7*c**5 + 0*c - 16/7*c**4 + z + 40/7*c**3 = 0. Calculate c.
0, 2, 4
Solve 8*a - 54*a**2 - 64*a**4 + 11*a**3 - 11*a**3 + 66*a**4 + 12*a**3 + 72 = 0.
-9, -1, 2
Let t(m) be the second derivative of -m**6/180 + m**5/60 + m**4/24 - 2*m**3/9 + m**2/3 - 4624*m. Find s, given that t(s) = 0.
-2, 1, 2
Suppose 0 = 8*y + 240 - 336. Suppose -20*n + 28 + y = 0. Factor 2/3*k**n + 20/3 - 22/3*k.
2*(k - 10)*(k - 1)/3
Let p be -5 + (748/44 - 4/1). Factor -376*g + 201*g - 8 - p*g**3 + 2*g**2 + 207*g.
-2*(g - 2)*(g + 2)*(4*g - 1)
Let o(v) be the first derivative of v**7/140 + 4*v**6/9 - 29*v**5/60 - 9*v**4/2 - 85*v**3/3 + 230. Let x(j) be the third derivative of o(j). Factor x(h).
2*(h - 1)*(h + 27)*(3*h + 2)
Let a(u) be the first derivative of -4/15*u**5 + 0*u**2 - 1/18*u**6 + 0*u**3 - 85 + 0*u + 5/12*u**4. Factor a(n).
-n**3*(n - 1)*(n + 5)/3
Solve -1817/3*i**2 + 1/3*i**3 - 824464/3 + 826280/3*i = 0.
1, 908
Let n(d) be the second derivative of 0*d**2 + 13/20*d**5 - 1/42*d**7 + 0*d**3 + 1/6*d**6 + 7/12*d**4 + 2*d + 14. Factor n(a).
-a**2*(a - 7)*(a + 1)**2
Let t(l) = 8*l**4 + 169*l**3 + 9610*l**2 - 9794*l - 7. Let n(y) = -7*y**4 - 173*y**3 - 9609*y**2 + 9795*y + 6. Let c(h) = -7*n(h) - 6*t(h). Factor c(w).
w*(w - 1)*(w + 99)**2
Suppose 3*g - 4*d + 8 = 0, -3*d + 2*d = 4*g + 17. Let p be 1*10/g*(-64)/100. Factor p*x + 0 - 2/5*x**3 + 2/5*x**4 - 8/5*x**2.
2*x*(x - 2)*(x - 1)*(x + 2)/5
Find k such that -4479*k**3 - 10*k**2 + 8*k + 2242*k**3 + 2238*k**3 + 2*k**4 - k**4 = 0.
-4, 0, 1, 2
Let s(a) = 4*a**2 + 10668*a - 7086236. Let l(b) = -14*b**2 - 42667*b + 28344946. Let n(k) = 4*l(k) + 15*s(k). Factor n(r).
4*(r - 1331)**2
What is z in 1/4*z**4 + 33/4*z**3 + 171/4*z**2 + 0 - 1805/4*z = 0?
-19, 0, 5
Let m be (-5*286/(-29055))/((-6)/87). Let g = -7/149 - m. Factor 5/3*o - g - 4/3*o**2 + 1/3*o**3.
(o - 2)*(o - 1)**2/3
Let p(z) = z**2 + 2*z - 2. Let n(t) = -5*t**2 + 65*t + 8. Let c(y) = -n(y) - 4*p(y). Find g, given that c(g) = 0.
0, 73
Let a(p) be the third derivative of p**7/2240 - p**6/240 - p**5/64 - 3*p**3 + 48*p**2. Let t(f) be the first derivative of a(f). Let t(y) = 0. What is y?
-1, 0, 5
Let k(q) = 5*q**4 - 140*q**2 - 210*q - 15. Let f(z) = 6*z - 3. Let n(p) = 5*f(p) - k(p). What is y in n(y) = 0?
-4, -2, 0, 6
Let g be (-368)/(-192) + ((-2)/(-20))/((-4)/10). Let m(c) be the first derivative of 24 + 0*c**2 - 5*c + g*c**3. Factor m(q).
5*(q - 1)*(q + 1)
Let q(g) be the third derivative of g**5/180 + 61*g**4/72 + 38*g**3/3 - 3*g**2 - 990*g - 2. Factor q(t).
(t + 4)*(t + 57)/3
Suppose -5*x = h - 521 + 42, -930 = -2*h + 4*x. Suppose 3*o - 3*l = 2*l + 289, -5*o = -2*l - h. Factor -5*v**4 - 5*v**3 - o + 93.
-5*v**3*(v + 1)
Let v be 2/240*2*(-47)/(4371/(-248)). Let c(u) be the first derivative of 7/18*u**4 + 0*u - 36 - v*u**5 - 22/27*u**3 + 5/9*u**2. Factor c(f).
-2*f*(f - 5)*(f - 1)**2/9
Let u = 11282/8385 - 34/2795. Find o such that -2*o**4 + 2/3*o**5 + 2/3 - 2*o + 4/3*o**3 + u*o**2 = 0.
-1, 1
Find a, given that 570 - 8*a**2 + 10265173*a - 10264900*a + 2*a**2 = 0.
-2, 95/2
Let s be ((-348)/464)/((-14)/(-64)*-6). Let v(n) be the first derivative of -s*n - n**2 - 10/21*n**3 + 46. Factor v(t).
-2*(t + 1)*(5*t + 2)/7
Let -4*m**3 + 0 - 28/5*m + 2/5*m**4 + 46/5*m**2 = 0. Calculate m.
0, 1, 2, 7
Let k(p) = -2*p**3 - 10*p**2 - 8*p + 2. Let d be k(-8). What is z in -34*z - 70*z + 428*z**3 + d*z**2 - 56 - 144*z**4 + 74*z**4 = 0?
-1, -2/7, 2/5, 7
Let t(b) be the third derivative of -8*b**7/63 - 5*b**6 - 675*b**5/8 - 49*b**4/24 - 29*b**2. Let d(l) be the second derivative of t(l). Factor d(a).
-5*(8*a + 45)**2
Let d(k) = k**3 - 8*k**2 - 15*k - 2. Let h be 34/(-51) - (2 + 34/(-6)). Let l(p) = -9*p**2 - 15*p - 3. Let s(y) = h*d(y) - 4*l(y). Find b, given that s(b) = 0.
-2, -1
Let i(t) = 2*t**3 - t**2 - 3*t - 1. Let x(k) = 9*k**3 + 92*k**2 + 727*k - 259. Let z(h) = -15*i(h) + 5*x(h). Find w, given that z(w) = 0.
-16, 1/3
Let r(j) be the first derivative of 4*j**3/3 - 24*j**2 - 112*j - 1137. Determine b so that r(b) = 0.
-2, 14
Let a(z) be the third derivative of z**7/1365 + 31*z**6/260 + 46*z**5/195 - 8*z**2 - 8*z + 19. Factor a(n).
2*n**2*(n + 1)*(n + 92)/13
Let n = 2/21307 - -21295/127842. Let o(r) be the second derivative of 0 + n*r**3 - 1/90*r**6 - 31*r + 1/12*r**5 - 7/36*r**4 + 0*r**2. Factor o(y).
-y*(y - 3)*(y - 1)**2/3
Let p(z) = -9*z**2 + 218*z - 70. Let o(w) = -5*w**2 + 108*w - 42. Let s(u) = 5*o(u) - 3*p(u). Factor s(r).
2*r*(r - 57)
Suppose -304*q - 34 - 286 = -384*q. Let h(g) be the third derivative of 5/3*g**5 - 28*g**q + 96*g**3 - 1/30*g**6 + 0*g + 0 + 52*g**2. Find j such that h(j) = 0.
1, 12
Let f(b) = 5*b - 21. Let a be f(5). Factor a*x + 20*x**3 + 16*x - 20*x**2 + 11*x**3 - 26*x**3.
5*x*(x - 2)**2
Let f(h) be the first derivative of h**4/20 + 5*h**3 + 375*h**2/2 + 140*h + 205. Let n(z) be the first derivative of f(z). Determine d, given that n(d) = 0.
-25
Let i(t) be the second derivative of t**7/168 - t**6/60 - 67*t**5/80 - 31*t**4/12 - 5*t**3/2 - 8157*t. Let i(n) = 0. Calculate n.
-6, -1, 0, 10
Let p(i) = 2*i**3 + 197*i**2 - 202*i - 6. Let k(h) = 10*h**3 + 986*h**2 - 1010*h - 28. Let c(n) = 6*k(n) - 28*p(n). Factor c(q).
4*q*(q - 1)*(q + 101)
Let y(o) = 20*o**3 - 16*o**2 - 3880*o + 54400. Let k(l) = -2*l**3 - l**2 + 5*l. Let h(t) = 8*k(t) + y(t). Solve h(w) = 0 for w.
-34, 20
Let f = 1140 + -1130. Let b(x) be the third derivative of 0 - 22/525*x**7 - 4/75*x**5 + 0*x**4 - 1/168*x**8 - 7/75*x**6 + 0*x**3 - f*x**2 + 0*x. Factor b(l).
-2*l**2*(l + 2)**2*(5*l + 2)/5
Let j be (2 - 1) + -502*(-5)/(-6020). Let k = -1/86 + j. Factor 8/7*w**2 + 0*w**3 - 4/7*w**4 + 0*w - k.
-4*(w - 1)**2*(w + 1)**2/7
Let a(g) = -g. Let z(r) = 8*r**2 - 20*r + 8. Let v(b) = 16*a(b) - z(b). Let m(d) = 9*d**2 - 6*d + 9. Let j(u) = -5*m(u) - 6*v(u). Factor j(h).
3*(h + 1)**2
Let o(x) be the third derivative of x**5/60 - 65*x**4/3 - 521*x**3/6 + 3*x**2 + 32. Factor o(y).
(y - 521)*(y + 1)
Let f be -11 + (-2)/(-120) + 11. Let k(r) be the third derivative of -f*r**5 + 0 + 0*r - 12*r**2 + 1/12*r**4 + 1/2*r**3. Let k(t) = 0. Calculate t.
-1, 3
Suppose 0 = -11*n + 7368 + 959. What is y in n*y**4 - 11*y**3 + 171*y**3 + 60*y**2 + 35*y**5 - 922*y**4 = 0?
-2/7, 0, 2, 3
Let n(v) be the third derivative of v**5/60 - 25*v**4/24 - 9*v**3 + 1416*v**2. Suppose n(x) = 0. Calculate x.
-2, 27
Factor 182*g + 2/3*g**2 + 544/3.
2*(g + 1)*(g + 272)/3
Suppose -8*z + 431 - 15 = 0. What is p in -z + 5*p + 5*p + 5*p**2 + 12 = 0?
-4, 2
Find c, given that 7*c**3 + 11*c**3 - 312*c + c**2 + 247 + 7*c**2 + 41 - 2*c**4 = 0.
-4, 1, 6
Let o(a) be the third derivative of -a**6/720 + 5*a**5/72 + 19*a**4/48 - 9*a**3/4 + 225*a**2 + 2*a. Factor o(y).
-(y - 27)*(y - 1)*(y + 3)/6
Let t(x) be the first derivative of x**6/15 - 6*x**5/25 + x**4/10 + 2*x**3/5 - 2*x**2/5 + 1185. Let t(p) = 0. Calculate p.
-1, 0, 1, 2
Let f = 266143/1996095 - -1/665365. Factor -16/5*j - f*j**2 + 0.
-2*j*(j + 24)/15
Factor 1/3*d**2 - 23/6 - 7/2*d.
(d + 1)*(2*d - 23)/6
Find a, given that -147*a**3 - 3*a**4 - 2790*a - 3259*a**2 - 4470*a - 1494*a**2 + 2641*a**2 = 0.
-22, -5, 0
Let r(h) be the third derivative of 0 + 7/4*h**4 + 0*h - 1/20*h**5 - 90*h**2 + 0*h**3. Let r(x) = 0. What is x?
0, 14
Let a be ((-1)/5)/((-10)/25). Let t = 615897/2 + -307948. Find m such that 1/2 - a*m**3 + 1/2*m - t*m**2 = 0.
-1, 1
Suppose -13*a + 88*a - 2*a = 