43/30*m**3 - 1/150*m**6 - 49/20*m**4 - 134*m + 21/100*m**5 + 0 + 0*m**2. Determine v so that s(v) = 0.
0, 7
Suppose 4*v - 4320 = 4*o, -4*o + v - 4288 = 5*v. Let b = -1074 - o. What is k in -14/3*k + b - 2/3*k**3 + 10/3*k**2 = 0?
1, 3
Let k(v) = 8*v**4 - 663*v**3 + 26727*v**2 + 34295*v + 6889. Let p(r) = -r**4 + r**3 - 4*r. Let n(f) = k(f) + 4*p(f). Suppose n(y) = 0. Calculate y.
-1, -1/4, 83
Suppose 20 = c + 3*c. Suppose b = 2*p - 2, 2*b + c*p = -2*b - 8. Let v(d) = 4*d**2 + 4*d - 1. Let r(f) = f. Let j(l) = b*v(l) + 14*r(l). Factor j(t).
-2*(t - 1)*(4*t + 1)
Let j(a) = 105*a**3 + 1047*a**2 + 7098*a + 13662. Let k(l) = 41*l**3 + 418*l**2 + 2839*l + 5465. Let f(x) = -7*j(x) + 18*k(x). Solve f(o) = 0 for o.
-57, -4
Suppose 24*w = 4*w - 320. Let v be (1/(-2))/(((-1116)/w)/(-31)). Factor v*m**2 - 32/9*m + 128/9.
2*(m - 8)**2/9
Let i(c) = 190*c**2 - 915*c + 1675. Let x = 115 + -170. Let n(a) = -7*a**2 + 34*a - 62. Let w(s) = x*n(s) - 2*i(s). Determine b so that w(b) = 0.
2, 6
Let t(y) be the third derivative of -y**6/720 + 217*y**5/360 - 107*y**4/72 - 12*y**3 - 478*y**2 - y. Let t(d) = 0. What is d?
-1, 2, 216
Let a(j) = 44*j**2 + 1076*j - 2232. Let k(g) = 28*g**2 + 718*g - 1488. Let q(o) = 5*a(o) - 8*k(o). Suppose q(u) = 0. Calculate u.
-93, 2
Suppose s + 18 = -5*t + 45, -s + 15 = 3*t. Suppose -4*g**2 + 551 + 8*g + t*g - 1117 + 560 = 0. Calculate g.
1/2, 3
Let p(i) be the first derivative of i**6/630 - 2*i**5/105 - i**4/2 - 61*i**3/3 + 264. Let r(f) be the third derivative of p(f). Suppose r(l) = 0. Calculate l.
-3, 7
Let g be (-2670)/(-4895)*(-44)/(-90). Let -g - 14/5*o - 38/15*o**2 = 0. Calculate o.
-1, -2/19
Let j(a) = -2*a**3 - 36*a**2 + 39*a + 27. Let u be j(-19). Suppose 4*h + 2 = 5*v, -h + u = -3*v + 12. Factor -3/8*q**3 - 3/4*q**h + 3/8*q**4 + 0 + 0*q.
3*q**2*(q - 2)*(q + 1)/8
Let j(h) be the second derivative of h**6/90 - 7*h**5/30 - 31*h**4/36 - 8*h**3/9 + 2169*h. Factor j(r).
r*(r - 16)*(r + 1)**2/3
Let q(n) be the first derivative of -27/2*n**2 + 55 - 15/4*n**4 + 12*n**3 + 6*n. Factor q(f).
-3*(f - 1)**2*(5*f - 2)
Let y(v) be the first derivative of -20*v**2 + 1/5*v**5 + 1/2*v**4 - 32*v + 28 - 4*v**3. Let y(f) = 0. What is f?
-2, 4
Let h be (-78)/(-10) - 92/230*35/2. Let a be 106/60 + 2/(-12). Factor a*u**4 + 4/5*u - h + 12/5*u**2 - 4*u**3.
4*(u - 1)**3*(2*u + 1)/5
Let g(b) be the third derivative of -7/60*b**6 + 0*b + 51 + 0*b**3 - 3*b**2 + 5/6*b**4 - 11/10*b**5. Factor g(v).
-2*v*(v + 5)*(7*v - 2)
Let v(p) be the third derivative of p**8/336 + p**7/210 - p**6/40 - p**5/60 + p**4/12 - 1371*p**2. Determine s, given that v(s) = 0.
-2, -1, 0, 1
Let c = -18190 + 36383/2. Factor 3/4*a**3 + 3*a**2 + c + 15/4*a.
3*(a + 1)**2*(a + 2)/4
Solve -5/7 - 1/7*v**2 + 6/7*v = 0 for v.
1, 5
Let d = -3643 - -3647. Let c(q) be the first derivative of q**2 - 2*q + 2/3*q**3 + 13 - 1/2*q**d. Factor c(g).
-2*(g - 1)**2*(g + 1)
Suppose 47 = 2*s + 41. Let 31 - 4*c**4 - 8*c**s - 31 = 0. Calculate c.
-2, 0
Let x = -51/56 + 121/56. Let d be 1*-5*(-21)/28. Factor -5 - d*u + x*u**2.
5*(u - 4)*(u + 1)/4
Let f(v) be the second derivative of v**6/45 + 196*v**5/3 + 240100*v**4/3 + 470596000*v**3/9 + 57648010000*v**2/3 + 94*v + 1. Factor f(o).
2*(o + 490)**4/3
Solve -15/7*w + 0 + 57/7*w**2 - 48/7*w**4 + 24/7*w**3 = 0 for w.
-1, 0, 1/4, 5/4
Let h(u) be the third derivative of -53*u**2 + 0*u - 13/84*u**4 + 0 + 1/3*u**3 + 1/42*u**5 + 1/420*u**6. Find j, given that h(j) = 0.
-7, 1
Let p(b) be the first derivative of b**5/60 - 25*b**4/12 - b**2 + 3*b + 299. Let o(c) be the second derivative of p(c). Determine v so that o(v) = 0.
0, 50
Let h = 2490 - 79. Let k = 2411 - h. Factor k + 16/13*f - 2/13*f**2.
-2*f*(f - 8)/13
Let v(d) be the first derivative of -1/15*d**5 + 31 + 567/2*d**2 - 972*d + 31/12*d**4 - 39*d**3. Solve v(t) = 0.
4, 9
Suppose -14 = -4*z + 644*t - 646*t, -2*t = -14. Let u(n) be the second derivative of -3/40*n**5 + z + 1/2*n**2 + 1/12*n**3 - 1/6*n**4 - 18*n. Factor u(o).
-(o + 1)**2*(3*o - 2)/2
Let f(b) be the third derivative of 0 - 2/27*b**3 + 1/270*b**5 + 0*b - 1/108*b**4 - 39*b**2. Factor f(l).
2*(l - 2)*(l + 1)/9
Let l = -266 - -273. Suppose 0 = n + l*n - 24. Factor 2/5*h**2 - 2/5*h**4 + 2/5*h**n + 0 - 2/5*h.
-2*h*(h - 1)**2*(h + 1)/5
Suppose -1/4*j**2 + 129/2 - 37/4*j = 0. What is j?
-43, 6
Let o(n) = 2*n - 40. Let c be o(22). Suppose -r - 137 = -5*s, 4 + c = -4*r. Factor 19*i**2 - 8*i**2 - 8*i**2 + s - 18*i.
3*(i - 3)**2
Determine f so that -13*f**4 - 5880 + 18*f**4 + 250*f**2 - 309*f - 5431*f + 115*f**3 = 0.
-14, -1, 6
Let j(q) = 2*q**2 + q + 1. Let t(g) = -29*g - 12. Let i be t(0). Let u(s) = 37*s**2 + 10*s + 4. Let r(x) = i*j(x) + 3*u(x). Find h, given that r(h) = 0.
-6/29, 0
Let n(f) be the first derivative of 9*f + 0*f**2 + 0*f**5 + 17 + 1/180*f**6 + 0*f**3 - 1/18*f**4. Let r(v) be the first derivative of n(v). Factor r(d).
d**2*(d - 2)*(d + 2)/6
Let z(b) be the first derivative of b**4 - 44*b**3 - 138*b**2 - 140*b + 2198. Determine q so that z(q) = 0.
-1, 35
Let j = -60115 + 60119. Factor 0*s**j + 0*s + 1/2*s**5 + 0*s**2 + 0 + 0*s**3.
s**5/2
Let g(k) be the third derivative of 1/21*k**4 - 1/210*k**5 + 0*k + 0*k**3 - 78*k**2 + 0. Solve g(d) = 0 for d.
0, 4
Factor -618 + 794*p - 5*p**3 - 10*p**2 + 3*p**3 - 597 + 1274 - 841.
-2*(p - 17)*(p - 1)*(p + 23)
Suppose -5*t = -20, 7*n + 68 = 9*n + 2*t. Let f be (40/(-50))/((-36)/n). Factor f*h**5 + 0*h + 0*h**2 + 0 - 4/3*h**4 + 2/3*h**3.
2*h**3*(h - 1)**2/3
Let k be (0 + -8)/(2*(-1)/158). Solve -317*y + k*y - 10*y**2 - 310*y + 5*y**3 = 0 for y.
0, 1
Let s(k) be the third derivative of k**9/12096 - k**8/3360 - k**7/168 - k**6/60 - 22*k**3/3 + 202*k**2. Let i(a) be the first derivative of s(a). Factor i(v).
v**2*(v - 6)*(v + 2)**2/4
Let m be (-98)/833*952/(-210). Suppose 0 - m*n**2 + 0*n - 2/15*n**3 = 0. What is n?
-4, 0
Factor -104/3*t**3 - 216*t - 126 - 10/3*t**4 - 132*t**2.
-2*(t + 3)**3*(5*t + 7)/3
Suppose -136 = -6*f + 68. Factor -40*t - 40*t - 8*t**2 - 30*t**2 - 16*t**3 - f*t**2 - 28 + 4*t**4.
4*(t - 7)*(t + 1)**3
Let q(l) be the first derivative of -l**5/45 + 17*l**4/27 - 50*l**3/9 + 22*l**2 + 173*l - 273. Let a(k) be the first derivative of q(k). Factor a(j).
-4*(j - 11)*(j - 3)**2/9
Let b(a) = 25*a + 77. Let h be b(-3). Determine p so that -9 - 20*p - 40*p**h + 32 - 23 - 15*p**3 = 0.
-2, -2/3, 0
Let h(b) be the first derivative of -b**5/12 + 5*b**4/4 - 15*b**3/2 - 63*b**2/2 + 42. Let q(n) be the second derivative of h(n). Suppose q(t) = 0. What is t?
3
Let r = -35903 - -35905. Let 2/5*z**3 + 2 + 22/5*z + 14/5*z**r = 0. Calculate z.
-5, -1
Let g(y) = 10*y**4 + 47*y**3 - 146*y**2 + 78*y + 22. Let j(w) = w**4 - 2*w**3 - w**2 + w + 2. Let d(m) = -2*g(m) + 22*j(m). What is r in d(r) = 0?
0, 1, 67
Let y(a) be the second derivative of -2*a**3 + 3 + 3/20*a**5 + 8*a + 1/2*a**4 - 12*a**2. Find f, given that y(f) = 0.
-2, 2
Let l be -5*(3 - (-9)/(-15)). Let j = l + 17. Suppose -2 + h - 3 + j*h**2 + 4*h - 5 = 0. What is h?
-2, 1
Let c(s) be the third derivative of s**7/168 + 41*s**6/60 + 1771*s**5/80 - 363*s**4/16 - s**2 - 10*s + 6. Factor c(g).
g*(g + 33)**2*(5*g - 2)/4
Let x be 636/(-7420)*(-7)/3. Let h(t) be the second derivative of -t + 1/25*t**5 + x*t**2 + 0*t**4 - 1/75*t**6 + 0 - 2/15*t**3. Suppose h(k) = 0. What is k?
-1, 1
Suppose 55*c = 51*c - 3432. Let s = -858 - c. Let -9/2*z**3 + 9*z**2 + s - 6*z + 3/4*z**4 = 0. Calculate z.
0, 2
Let i(m) be the first derivative of -3*m**6/8 + 33*m**5/4 - 403*m**4/16 - 1043*m**3/4 - 561*m**2 - 484*m - 1430. Find h, given that i(h) = 0.
-4/3, -1, 11
Factor 126736/7 - 708/7*c**2 - 61944/7*c - 2/7*c**3.
-2*(c - 2)*(c + 178)**2/7
Let f be (-6)/(-15)*-2 - 462/(-165). Suppose -3*v - 5*d + 20 = -0*v, f*v - d + 4 = 0. Find r, given that -6/7*r + 0*r**2 + 6/7*r**3 + v = 0.
-1, 0, 1
Let i(k) be the third derivative of -k**5/390 + 51*k**4/52 - 302*k**3/39 - 1192*k**2. Factor i(c).
-2*(c - 151)*(c - 2)/13
Let i = -5222 + 5224. Let x(h) be the second derivative of -25*h + 8*h**3 - 144*h**i - 1/6*h**4 + 0. What is m in x(m) = 0?
12
Let u(p) = 9*p**2 - 13*p + 4. Let f = -78 - -54. Let n = 22 + f. Let d(j) = 4*j**2 - 6*j + 2. Let b(x) = n*u(x) + 5*d(x). Factor b(y).
2*(y - 1)**2
Let b be (-6)/22 - (-1350)/594. Let a(x) be the second derivative of -21*x - 4/3*x**3 + 0 + 0*x**b + 