derivative of -213 + 22/5*m**2 + 2/15*m**6 - 29/15*m**3 + 17/25*m**5 + 12/5*m - 12/5*m**4. Find y, given that n(y) = 0.
-6, -1, -1/4, 1, 2
Let a(o) be the third derivative of o**6/270 - 137*o**5/135 - 355*o**4/27 + 72*o**2 - 9. Factor a(b).
4*b*(b - 142)*(b + 5)/9
Let s = -9243 - -83212/9. Let -8/9*n**4 - 38/9*n**2 + 28/9*n + s*n**3 - 8/9 + 1/9*n**5 = 0. What is n?
1, 2
Let b be -1 - 28/(-696)*17. Let g = b + 14/29. Factor 0*r**2 + 0 + g*r - 1/6*r**3.
-r*(r - 1)*(r + 1)/6
Let t(p) = p + 17. Suppose r - 47 = d + 2*d, 5*d = 5*r - 95. Let k be t(d). Factor -f**2 - f**2 - 3*f**2 - k - 2*f + 6*f**2.
(f - 3)*(f + 1)
Let j(c) be the first derivative of 0*c**3 + c**5 - 205 + 0*c**2 + 0*c + 5/2*c**4. Determine w so that j(w) = 0.
-2, 0
Let z be (18/(-1080))/((-10)/30). Let q(l) be the first derivative of -1/4*l**4 - z*l**5 + 4*l + 2*l**2 + 0*l**3 + 17. Determine h so that q(h) = 0.
-2, 2
Let i(t) be the second derivative of -1/60*t**4 - 18*t - 288/5*t**2 + 1 - 8/5*t**3. Factor i(j).
-(j + 24)**2/5
Let i be (-4)/((-20)/25) - (-30588)/3. Suppose i + 98*c + 66*c + 80*c - 42*c + c**2 = 0. What is c?
-101
Let i(o) be the second derivative of 2*o**7/315 + o**6/25 - o**5/75 - 31*o**4/90 - 2*o**3/3 - 8*o**2/15 + 268*o. Suppose i(r) = 0. Calculate r.
-4, -1, -1/2, 2
Suppose -4*c = 4*g + 20, 0 = 86*c - 82*c + 2*g + 4. Let r = 175/258 + -1/86. Factor 8/3 + 4*y**2 - r*y**c - 6*y.
-2*(y - 4)*(y - 1)**2/3
Let k(t) = -4*t**4 + 62*t**3 + 1078*t**2 + 3374*t + 20. Let q(d) = 3*d**4 - 62*d**3 - 1077*d**2 - 3372*d - 16. Let z(n) = 4*k(n) + 5*q(n). Factor z(a).
-a*(a + 4)*(a + 29)**2
Suppose 0 = 3*m - 13 - 8. Let u be (6/8)/(60/(-16) - -4). Factor m*j**u + 10*j**4 - 8*j**3 + 6*j**3 + 5*j**5.
5*j**3*(j + 1)**2
Let l(q) be the third derivative of -3/32*q**4 - 1/20*q**5 + 1/70*q**7 + 0*q**3 + 1/448*q**8 + 0 + 1/80*q**6 + 5*q**2 + 0*q. Suppose l(w) = 0. What is w?
-3, -1, 0, 1
Let j(q) be the second derivative of -q**4/28 + 181*q**3/14 + 549*q**2/7 + 346*q. Factor j(y).
-3*(y - 183)*(y + 2)/7
Find l, given that -288*l**3 + 3579 - 3794*l**4 - 1934*l**2 + 3792*l**4 + 805 - 2160*l = 0.
-137, -4, 1
Find w such that -1494*w**2 - 1728*w + 491*w**2 - 2916 + 262*w**2 + 485*w**2 = 0.
-27/8
Let v = 1197632 + -3592894/3. Determine h so that 2/3*h**2 - 22*h + 42 + v*h**3 = 0.
-7, 3
Let k(s) = -3*s**2 - 73*s - 302. Let z(i) = -2*i**2 - 71*i - 296. Let j(f) = 3*k(f) - 4*z(f). Let q be j(-4). Factor 1/6*a**q + 0 + 0*a.
a**2/6
Let r(j) be the second derivative of 1/3*j**3 + 135*j + 1/20*j**5 + 1/4*j**4 + 0 + 0*j**2. Factor r(y).
y*(y + 1)*(y + 2)
Factor 1578*n**3 + 14*n**4 + 250 - 3767*n**3 + 2275*n + 1834*n**3 + 12*n**4 + 185*n**2 + 19*n**4.
5*(n - 5)**2*(n + 2)*(9*n + 1)
Let d(t) be the first derivative of 245*t**6/6 + 686*t**5 + 11985*t**4/4 - 280*t**3/3 - 490*t**2 + 793. Solve d(b) = 0 for b.
-7, -2/7, 0, 2/7
Let w(n) = -6*n**2 - 1944*n - 1944. Let a(q) = q**2 - 4*q - 3. Let d(t) = 3*a(t) + w(t). Factor d(i).
-3*(i + 1)*(i + 651)
Suppose -h + 4*n = -3*h - 8, 2*n = -3*h. Let g = 145 - 141. Factor -53*d**h - 40*d + 97*d**2 + 0 - g.
4*(d - 1)*(11*d + 1)
Let k be -10*(-6 + (-144)/(-30)). Let y = 144 - 287/2. Factor -y*j**4 - 9/2 - 4*j**3 - k*j - 11*j**2.
-(j + 1)**2*(j + 3)**2/2
Let k = -1133 - -1133. Let j(p) = -p**3 - 2*p**2 + 4*p + 2. Let n be j(k). Solve -3/4*r**5 - r + 3/4*r**3 + 0 - 3*r**2 + n*r**4 = 0 for r.
-1, -1/3, 0, 2
Let q = -357227/5 - -71446. What is s in -q*s**3 + 12/5*s**2 + 6/5 - 3*s = 0?
1, 2
Let r be ((-18837)/84)/(-39) - 2. Let p(a) be the first derivative of 0*a - 29 - 5/3*a**3 + a**5 - r*a**4 + 15/2*a**2. What is s in p(s) = 0?
-1, 0, 1, 3
Let u(w) be the second derivative of w**5/40 - 41*w**4/8 + 61*w**3/6 - 473*w. Solve u(q) = 0.
0, 1, 122
Suppose -4*d = 5*u - 748 + 247, 0 = 5*d + u - 621. Factor d*w**2 - 120 + 12*w**3 + 234*w + 74*w - 324*w**2.
4*(w - 15)*(w - 1)*(3*w - 2)
Let a(p) be the second derivative of -p**6/20 - 81*p**5/80 + 15*p**4/16 + 7*p**3/4 - 404*p - 4. Find n, given that a(n) = 0.
-14, -1/2, 0, 1
Factor 3385 - 4*b**3 - 23*b**2 + 85*b - 2320 + 2114 + 3*b**3.
-(b - 11)*(b + 17)**2
Let p be (-3 - 2) + 33820/70. Let a = -478 + p. Find f, given that 1/7*f**2 - 1/7 - 1/7*f**3 + a*f = 0.
-1, 1
Let p(f) be the first derivative of 3*f**4/20 + 16*f**3 + 237*f**2/10 + 1916. Factor p(v).
3*v*(v + 1)*(v + 79)/5
Let t = -889/2 - -3827/6. Let g = t - 188. Let -4*h**2 + 2/3*h**3 + 8*h - g = 0. What is h?
2
Let n be -7 + (6 - 7 - -10). Let t(x) = x**2 + 25*x + 71. Let i(w) = -5*w**2 + 6*w**2 - 2 + 3 - w. Let o(z) = n*i(z) + 2*t(z). Let o(a) = 0. Calculate a.
-6
Let w = 856357/5 - 171267. Let 0 - w*i**4 + 10*i**3 - 24/5*i**5 + 0*i - 4/5*i**2 = 0. Calculate i.
-2, 0, 1/12, 1
Let w(q) be the first derivative of q**3/12 + 3*q**2/4 - 4*q + 857. Let w(c) = 0. Calculate c.
-8, 2
Suppose -3895*a + 91513 = 479*a - 92195. Suppose 0 - 3/2*z**2 - a*z = 0. What is z?
-28, 0
Let n(y) = -108*y**3 + 40*y**2 + 35*y + 9. Suppose -285 + 300 = -5*x. Let i(b) = b**3 + 2*b. Let h(v) = x*n(v) - 24*i(v). Find w, given that h(w) = 0.
-3/10, 1
Let y(u) be the second derivative of -13*u + 0*u**2 + 4/39*u**3 + 0 - 1/78*u**4. Suppose y(i) = 0. What is i?
0, 4
Suppose -4*i + 1088/9 - 2/9*i**2 = 0. What is i?
-34, 16
Suppose 28/3 - 11/3*m + 1/3*m**2 = 0. What is m?
4, 7
Let y be (-2)/5 - (-147)/30. Let t be 12/8*(-251 - -252). Factor y*n - 9/2*n**2 + 3/2*n**3 - t.
3*(n - 1)**3/2
Let y(o) be the first derivative of -1/6*o**3 + 1/4*o**2 + 1/32*o**4 - 4 + 0*o. Let y(v) = 0. Calculate v.
0, 2
Suppose 9/2*f**3 + 168 - 703*f - 479/2*f**2 = 0. What is f?
-3, 2/9, 56
Let w(j) be the second derivative of -j**6/1980 - j**5/132 - 23*j**3/3 + j**2/2 + 34*j. Let u(c) be the second derivative of w(c). Factor u(x).
-2*x*(x + 5)/11
Let o = 253 - 230. Let -45 + 6*y**2 - o*y**2 + 30*y + 12*y**2 = 0. What is y?
3
Let a(g) = g**2 - 4*g + 1. Let m(n) = 1. Suppose 14*c + 543 + 773 = 0. Let r = 96 + c. Let k(q) = r*m(q) - 2*a(q). Factor k(o).
-2*o*(o - 4)
Let k(h) = -h**2 + 35*h - 29. Let b be k(34). Factor -33*f**2 + 9*f**2 - 176*f**3 + 13*f**2 + 280*f**4 + 43*f**2 - 100*f**b.
-4*f**2*(f - 2)*(5*f - 2)**2
Let m(g) be the first derivative of -5/4*g**3 + 15/4*g - 1/8*g**2 + 1/16*g**4 + 131. Solve m(o) = 0.
-1, 1, 15
Let s be 9*-4*(-3 - (-30)/8). Let x = -24 - s. Let 8/7*c**4 + 8/7 - 8/7*c**x - 16/7*c**2 + 4/7*c**5 + 4/7*c = 0. What is c?
-2, -1, 1
Solve -13*g**3 - 1983*g**2 + 2410*g + 360*g**3 + 69*g**4 + 66*g**4 - 420 - 7*g**5 - 108*g**2 - 374*g = 0 for g.
-5, 2/7, 1, 2, 21
Let i = -1110716/5 + 222148. Factor -28/5*c + 3/5*c**3 + 6/5*c**2 + i - 1/5*c**4.
-(c - 2)**3*(c + 3)/5
Let -15*u**4 + 64*u**2 + 370*u - u**5 + 11*u**3 + 8*u**4 - 430*u - 9*u**4 + 2*u**5 = 0. What is u?
-2, 0, 1, 2, 15
Suppose -5*r + 20 = -5*k, -r + 2*r + k = 0. Suppose 16 = 3*y + i, 3*y - i - r = 6. Factor 56*f**2 - 6*f**4 - 68*f**2 - 12*f**3 + 2*f**y - 4*f.
-4*f*(f + 1)**3
Let g = 43 + -38. Suppose 5*y + 5 = 4*d - 1, -g*y - 5*d + 30 = 0. Factor 6*p**3 - 3*p**2 - y*p**4 - 5*p - p + 5*p**4.
3*p*(p - 1)*(p + 1)*(p + 2)
Let w(k) = 2*k**2 + 17*k + 27. Let r be w(-13). Let p be 4/10*9/(r/10). Factor -1 - 3/4*y + p*y**2.
(y - 4)*(y + 1)/4
Let s = 113296 - 113293. Factor 8 - 20/3*x - 29/6*x**2 - 2/3*x**s.
-(x + 4)**2*(4*x - 3)/6
Let u(r) be the third derivative of -r**7/1260 + r**5/45 - 2*r**3 + 32*r**2. Let m(t) be the first derivative of u(t). Factor m(z).
-2*z*(z - 2)*(z + 2)/3
Let j(c) be the second derivative of -c**5/4 + 265*c**4/6 + 5675*c**3/6 + 7250*c**2 + 6426*c. Factor j(l).
-5*(l - 116)*(l + 5)**2
Let n(l) be the second derivative of 0*l**3 - 1/78*l**4 + 0*l**2 + 0 - 54*l + 1/130*l**5. What is v in n(v) = 0?
0, 1
Let n(v) = 83*v**3 - 8*v**2 - 71*v + 120. Let t(p) = 99*p**3 - 9*p**2 - 72*p + 120. Let z(x) = -6*n(x) + 5*t(x). What is g in z(g) = 0?
-5, 2, 4
Let x(c) be the first derivative of c**5/300 + 7*c**4/120 - 4*c**3/15 - 5*c**2/2 - 11*c + 11. Let q(z) be the second derivative of x(z). Factor q(s).
(s - 1)*(s + 8)/5
Factor -1/7*v**4 - 34/7*v + 0 + 19/7*v**2 + 16/7*v**3.
-v*(v - 17)*(v - 1)*(v + 2)/7
Let r(q) = -327*q - 7188. Let b be r(-22). Let s(c) be the second derivative of 0 + 1/36*c**4 - 14*c + 0*c**2 + 1/180*c**b - 1/40*c**5 + 0*c**3. Factor s(o).
o**2*(o - 2)*(o - 1)/6
Suppose 0 = p + 3, 0 = -6*c + c - 3*p + 6. Suppose 0 = c*y + 