(-5)/(-2). Suppose 6*l - n*l = 80. Let 15*y**2 + 1 + 8*y**3 + l*y - 13*y**3 - 1 = 0. What is y?
-1, 0, 4
Let g(t) be the third derivative of 0*t - 4/33*t**3 + 5 + 5/132*t**4 - 1/330*t**5 + 3*t**2. Solve g(l) = 0.
1, 4
Let h be (-13)/78*(-3)/2. Suppose 8*u = -2*u + 50 - 30. Factor 0 + h*g**u + 0*g.
g**2/4
Suppose -1028526*q + 64248*q**3 + 3*q**5 - 1052776*q - 24*q**4 - 1710024*q**2 - 741*q**4 - 3816336 - 1645639*q - 1864435*q = 0. What is q?
-2, -1, 86
Let x be (65/(-10) + 5)*2 - -5. Determine q, given that -4 - 5 + 13 + 16*q + 6*q**2 + 6*q**x = 0.
-1, -1/3
Let i(b) be the second derivative of -1/3*b**5 + 2 + 4/3*b**2 - 5*b - 5/3*b**3 + 0*b**6 + 10/9*b**4 + 1/63*b**7. Factor i(n).
2*(n - 1)**4*(n + 4)/3
Find n, given that 2/13*n**4 + 2/13*n**2 + 12/13*n + 0 - 8/13*n**3 = 0.
-1, 0, 2, 3
Let h(u) be the first derivative of 0*u + 0*u**2 - 25/4*u**4 - 185 + 7/3*u**5 - 5/18*u**6 + 5*u**3. Determine d so that h(d) = 0.
0, 1, 3
Let p(y) be the second derivative of -8*y**7/7 + 33*y**6/10 + 21*y**5/10 - 33*y**4/4 + y**3 - 11*y + 21. Suppose p(k) = 0. Calculate k.
-1, 0, 1/16, 1, 2
Factor -3195*t**2 + 2078*t**2 + 3139*t + t**4 - 5702 - 3929*t**2 + 6969*t + 837*t**3 - 1042.
(t - 2)**3*(t + 843)
Let y(q) be the first derivative of 0*q - 68/3*q**2 - 135 + 4/9*q**3. Determine j so that y(j) = 0.
0, 34
Suppose -6*n - 18*n + 30 = -114. Let x(p) be the second derivative of 0*p**2 + 1/6*p**6 + 0*p**3 + 0*p**5 - 5/12*p**4 + 0 + n*p. Let x(k) = 0. Calculate k.
-1, 0, 1
Let c(w) be the third derivative of 1/1365*w**7 + 0 + 50*w**2 + 0*w**4 + 0*w + 0*w**5 + 0*w**3 - 1/260*w**6. Factor c(y).
2*y**3*(y - 3)/13
Let k(p) = -p**3 - 6*p**2 + 63*p + 95. Let a be k(-11). Let g(x) be the first derivative of -4*x - 8/3*x**3 + 1/2*x**4 + 5*x**2 - a. Factor g(l).
2*(l - 2)*(l - 1)**2
Let b(x) be the third derivative of x**5/90 + 17*x**4/4 + 50*x**3 - 3494*x**2. Factor b(k).
2*(k + 3)*(k + 150)/3
Determine h so that 236/17*h**3 - 2/17*h**5 - 62/17 - 54/17*h**4 - 364/17*h**2 + 246/17*h = 0.
-31, 1
Suppose 39*f - 35*f = -2*s + 118, -3*s + 187 = -4*f. Let z = s + -59. Suppose 0 - 81/2*v**4 - 12*v**z + 117/2*v**3 - 6*v = 0. Calculate v.
-2/9, 0, 2/3, 1
Let x(n) be the third derivative of n**5/12 + 85*n**4/24 + 25*n**3 + 154*n**2 - 11*n. Determine r so that x(r) = 0.
-15, -2
Let v(c) = -14*c**3 - 2*c**2 + 14*c - 1. Let m(y) = -y**3 - y**2 + y. Let q = -260 + 263. Let o(i) = q*m(i) - v(i). Solve o(j) = 0 for j.
-1, 1/11, 1
Let w(v) = -15*v**2 - 512*v. Let h(t) = 10*t**2 + t. Let f(m) = -2*h(m) - w(m). Factor f(q).
-5*q*(q - 102)
Let b = -2574/29 - -9056/87. Suppose 242/3 + b*j**2 - 2/3*j**3 - 286/3*j = 0. Calculate j.
1, 11
Let 36/7 + 24/7*x**4 + 18*x**3 + 141/7*x + 204/7*x**2 - 3/7*x**5 = 0. Calculate x.
-1, 12
Find y, given that -5*y**5 + 2*y**3 + 161*y**4 + 17*y**3 - 2*y**5 + 2*y**3 - 115*y**4 = 0.
-3/7, 0, 7
Let o(d) = 24*d**2 - 24*d + 8. Suppose 6*y = -12*y + 72. Let n(b) = -b. Let p(h) = y*n(h) + o(h). Factor p(k).
4*(2*k - 1)*(3*k - 2)
Let b = 57689 + -57687. Factor -9*h + 15 + 3/4*h**b.
3*(h - 10)*(h - 2)/4
Let z(g) = 7*g**5 + 34*g**4 - 123*g**3 + 62*g**2 + 128*g - 93. Let l(m) = -3*m**5 - m**3 - 1. Let c(q) = -3*l(q) - z(q). Find s, given that c(s) = 0.
-1, 1, 4, 12
Let p be (((-408)/39 - -8) + 2)/(3/(-26)). Factor 1/2*b**2 - 1/2*b**3 + 0 - 1/2*b**p + 1/2*b.
-b*(b - 1)*(b + 1)**2/2
What is o in -346 + 1/2*o**2 - 172*o = 0?
-2, 346
Let s(h) be the first derivative of h**5/210 + 10*h**4/21 + 400*h**3/21 + 90*h**2 + 207. Let o(m) be the second derivative of s(m). Solve o(r) = 0 for r.
-20
Let j = -91 + 95. Suppose -j = 9*y - 11*y. Suppose 2/7*f**y - 20/7*f + 50/7 = 0. What is f?
5
Let d be (20 + 441/(-21))/(((-54)/(-12))/(-9)). Factor -4/19 + 6/19*u**d - 10/19*u.
2*(u - 2)*(3*u + 1)/19
Find o, given that 1/4*o**2 - 131/2*o + 777/4 = 0.
3, 259
Let f(n) be the third derivative of -n**5/40 - 453*n**4/16 + 455*n**3/2 - 4370*n**2. Solve f(h) = 0 for h.
-455, 2
Suppose 5*a - 7240 = 985. Let b = -1642 + a. Factor 4/11*y**2 - 6/11*y + 2/11*y**b + 0.
2*y*(y - 1)*(y + 3)/11
Let h(s) = 8*s**2 + 216*s - 299. Let n(w) = -4*w**2 - 100*w + 150. Let b(x) = 2*h(x) + 5*n(x). Factor b(r).
-4*(r - 2)*(r + 19)
Let i(s) = -13*s**2 + 856*s. Let y(j) = -12*j**2 + 846*j. Let h(n) = -9*i(n) + 10*y(n). Factor h(u).
-3*u*(u - 252)
Suppose 11703 - 11679 = 8*y. Let w(t) be the third derivative of -11/48*t**4 + 19*t**2 + 1/40*t**5 + 0*t + 0 + 1/2*t**y. What is m in w(m) = 0?
2/3, 3
Let g be (-3)/(-12)*46/161. Let d(a) be the second derivative of 7*a - g*a**7 - 1/3*a**6 + 5/6*a**3 + 0*a**4 + a**2 + 0 - 1/2*a**5. Factor d(i).
-(i + 1)**4*(3*i - 2)
Let t(l) be the third derivative of 0*l**3 + 0 + 0*l + 5/24*l**4 - 13*l**2 + 1/12*l**5. Determine o, given that t(o) = 0.
-1, 0
Let w be (-25 + 22 - -3)/(-1). Factor 1/6*m**3 + w + 0*m - 1/6*m**5 + 1/6*m**4 - 1/6*m**2.
-m**2*(m - 1)**2*(m + 1)/6
Let j(d) be the second derivative of 92/27*d**4 - 8/9*d**5 - 85/27*d**3 - 25/9*d**2 + 0 + 74*d. Suppose j(k) = 0. What is k?
-1/5, 5/4
Let q(b) = -51*b**4 - 210*b**3 - 68*b**2 + 417*b - 186. Let y(z) = -665*z**4 - 2730*z**3 - 885*z**2 + 5420*z - 2420. Let t(r) = 40*q(r) - 3*y(r). Factor t(p).
-5*(p + 3)**2*(3*p - 2)**2
Let x(q) = 13*q**2 + 1687*q + 179776. Let p(i) = 3*i**2 + 422*i + 44944. Let h(m) = -9*p(m) + 2*x(m). Find n such that h(n) = 0.
-212
Let m(t) be the first derivative of -t**6/24 - 9*t**5/20 + 7*t**4/4 + 140*t**3/3 + 264*t**2 + 640*t + 1713. Let m(d) = 0. Calculate d.
-5, -4, 8
Suppose 0*c - 16 = -2*u - 2*c, 0 = c - 4. Factor 11*t**5 - u*t - 253*t**3 - 26*t**4 - t**5 + 2*t**2 + 271*t**3.
2*t*(t - 1)**3*(5*t + 2)
Let a(w) be the second derivative of 3*w**5/40 - 7*w**4/8 - 7*w**3 - 15*w**2 + 557*w. Let a(o) = 0. Calculate o.
-2, -1, 10
Find g, given that -366/5*g + 0 - 3/5*g**2 = 0.
-122, 0
Suppose -3*j + 28 = 5*t, -17*t + j - 14 = -21*t. Let b(g) be the second derivative of 0 + 1/4*g**t - 1/48*g**4 + 1/24*g**3 - 5*g. Find k such that b(k) = 0.
-1, 2
Solve -1188*r**4 + 54/11*r**5 - 176 - 1928/11*r + 13076/11*r**2 - 54/11*r**3 = 0 for r.
-1, -1/3, 2/3, 242
Let m(p) be the first derivative of 0*p**2 + 1/4*p**4 + 9/100*p**5 + 6*p + 1/150*p**6 - 29 - 5/6*p**3. Let x(z) be the first derivative of m(z). Factor x(q).
q*(q - 1)*(q + 5)**2/5
Let u(v) = v**3 - 10*v**2 + 6*v + 7. Let p be u(9). Let q(n) = -n**2 - 23*n - 15. Let j be q(p). Factor 3*s**3 - 103*s**2 + 9*s**4 + j*s**2 + 49*s**2 - 3*s.
3*s*(s - 1)*(s + 1)*(3*s + 1)
Let j(o) be the second derivative of o**5/4 - 35*o**4/6 - 775*o**3/6 + 420*o**2 - 80*o + 5. What is c in j(c) = 0?
-8, 1, 21
Let h(t) = -2*t**3 + 9*t**2 - 15*t + 8. Let f be h(1). Suppose 69/2*a**2 + 9*a + 6*a**5 + f + 48*a**3 + 57/2*a**4 = 0. Calculate a.
-2, -1, -3/4, 0
Let l(d) be the second derivative of d**5/50 + 314*d**4/15 + 98596*d**3/15 - 136*d + 3. What is f in l(f) = 0?
-314, 0
Let d(x) be the first derivative of -5*x**3/3 - 170*x**2 - 3975*x - 7194. Factor d(m).
-5*(m + 15)*(m + 53)
Let c(t) = t**3 + 21*t**2 + 19*t - 16. Let y be c(-20). Find p, given that 196*p**y - 3 - 5*p**2 - 10 - 3 - 7*p**2 - 88*p + 406*p**3 = 0.
-2, -2/7, 1/2
Let a(j) = j**3 - 18*j**2 + 43*j + 32. Let z be a(15). Factor z*n**2 + 2*n**2 - 120446*n - 192 + 120534*n.
4*(n - 2)*(n + 24)
Let i be ((-9)/(-12))/((-3)/2) + 1365/546. Solve 0 - 4/7*s**i + 76/7*s = 0.
0, 19
Suppose 187*y - 45*y = 0. Find g such that -1/4*g**2 + 3/4*g + y = 0.
0, 3
Let z(b) be the second derivative of 5/16*b**4 + 1 - 1/40*b**6 + 3/8*b**3 + 0*b**2 + 3/80*b**5 + 20*b. Factor z(d).
-3*d*(d - 3)*(d + 1)**2/4
Let z(k) = 2*k - 3. Let o(w) = 4. Let x(i) = -o(i) - 6*z(i). Let d be x(1). Solve 8/11*g**4 + 8/11*g**3 + 0 + 2/11*g**d + 0*g = 0.
-1/2, 0
Suppose -918*s = -146*s - 2648 + 332. Solve -2/7*d**s - 10/7*d**2 + 48/7*d + 0 = 0.
-8, 0, 3
Let y be 406*(35/(-10) - -4). Suppose -d + 205 = y. Solve 0*r**d - 1/3*r**5 + 2*r**4 + 0 + 0*r - 3*r**3 = 0 for r.
0, 3
Let g(t) be the second derivative of -16/33*t**3 + 1/66*t**4 - 7*t + 0 + 64/11*t**2. Factor g(c).
2*(c - 8)**2/11
Let t(b) = 3*b**2 + 92*b - 590. Let c(p) = 51*p**2 + 1473*p - 9435. Let n(k) = -2*c(k) + 33*t(k). Suppose n(f) = 0. Calculate f.
10, 20
Let c(b) be the second derivative of 0 - 58*b + 17/45*b**3 + 1/50*b**5 + 7/45*b**4 + 2/5*b**2. Factor c(r).
2*(r + 1)*(r + 3)*(3*r + 2)/15
Let m(u) b