etermine i so that -i**l - 15 - 5 + 8*i + 20 = 0.
0, 8
Let s = -419 + 423. Let f(v) be the second derivative of 0*v**2 + 0 + 7/195*v**6 - 2/39*v**3 - 2*v + 1/65*v**5 - 7/78*v**s. Determine n, given that f(n) = 0.
-1, -2/7, 0, 1
Let p(b) be the first derivative of -b**4/36 - 8*b**3/3 - 96*b**2 - 1536*b + 72. Factor p(z).
-(z + 24)**3/9
Let d(v) be the second derivative of -v**5/10 + 13*v**4/6 - 23*v**3/3 + 11*v**2 - 11*v - 6. Determine q, given that d(q) = 0.
1, 11
Let f(l) be the second derivative of 37/2*l**3 + 15*l**2 + 47/4*l**4 + 0 + 69/20*l**5 + 3/10*l**6 + 15*l. What is v in f(v) = 0?
-5, -1, -2/3
Let k(r) be the second derivative of 3*r**5/4 + 25*r**4/12 + 5*r**3/3 + 10*r. Determine x so that k(x) = 0.
-1, -2/3, 0
Let i(q) be the first derivative of q**5/70 - 4*q**4/21 + q**3 - 18*q**2/7 + 11*q - 5. Let s(t) be the first derivative of i(t). Solve s(m) = 0.
2, 3
Let u = -1/95 - 1207/2660. Let p = u - -289/140. Determine g, given that p*g**2 + 2/5 + 8/5*g = 0.
-1/2
Let d(x) be the third derivative of -x**5/360 + x**4/24 - 2*x**3/9 - 144*x**2. Factor d(g).
-(g - 4)*(g - 2)/6
Let h(z) be the first derivative of -z**6/40 - z**5/5 - 5*z**4/8 - z**3 - 3*z**2 - 13. Let w(c) be the second derivative of h(c). Let w(m) = 0. Calculate m.
-2, -1
Let t(c) be the second derivative of -c**5/20 + 3*c**4/8 + 2*c**3 + 13*c**2/2 + 9*c. Let s(l) be the first derivative of t(l). Suppose s(a) = 0. Calculate a.
-1, 4
Let c(d) = -105*d**2 - 345*d - 250. Let x(z) = -54*z**2 - 172*z - 126. Let n(y) = 3*c(y) - 5*x(y). Factor n(l).
-5*(l + 3)*(9*l + 8)
Let s be -1*(-4)/(-12) - 52/(-12). Factor 1 + 7*y - 4 + s*y**2 - 11*y - 5.
4*(y - 2)*(y + 1)
Let r = -436 + 436. Let q(y) be the third derivative of r*y + 1/210*y**5 + 0 + 5*y**2 + 1/28*y**4 + 2/21*y**3. Factor q(u).
2*(u + 1)*(u + 2)/7
Suppose 0 = -4*p - 4*i - 12, -2*p - 1 = 5*i - 7. Let m = 25 + p. Find x, given that 37*x + 1 + m*x**4 - 40*x - 1 + 21*x**3 = 0.
-1, -1/2, 0, 1/3
Let c be (1 - 0) + -18 + 19. Determine d, given that 4*d**5 - 3*d**5 + d**5 - c*d**4 + 4*d**4 = 0.
-1, 0
Let v(r) be the first derivative of 2/85*r**5 + 0*r + 1/17*r**4 + 12 + 2/51*r**3 + 0*r**2. Determine i so that v(i) = 0.
-1, 0
Let v(s) = -3*s**2 - 3*s - 24. Let h(m) = 2*m**2 + m + 12. Let z(k) = 7*h(k) + 4*v(k). Factor z(p).
(p - 4)*(2*p + 3)
Let r(i) be the second derivative of -i**4/48 + 11*i**3/12 - 121*i**2/8 + 263*i. Find k, given that r(k) = 0.
11
Suppose 0 = 155*a + 125*a + 24*a - 1216. Find f, given that 0 - 3/8*f**a + 9/8*f**2 + 0*f - 3/4*f**3 = 0.
-3, 0, 1
Let y(h) be the second derivative of -h**6/900 + h**5/450 - 16*h**2 + 4*h - 8. Let w(j) be the first derivative of y(j). Determine t so that w(t) = 0.
0, 1
Let v(m) be the third derivative of -m**5/360 - m**4/72 - m**3/36 - 78*m**2. Determine w, given that v(w) = 0.
-1
Suppose 2*k - 58 = 5*s, -2*k = 2*k + 5*s - 176. Let i = 41 - k. Solve -2/3*p**3 + 2/3*p - 2/3 + 2/3*p**i = 0 for p.
-1, 1
Let v(p) be the third derivative of p**7/525 - p**6/75 - 7*p**5/150 + p**4/6 - 686*p**2. Let v(n) = 0. What is n?
-2, 0, 1, 5
Let v(h) be the first derivative of -4/21*h**3 + 0*h - 45 - 2/7*h**2. Factor v(b).
-4*b*(b + 1)/7
Let u be (-21)/(-28)*(-2 + 6). Let t(s) be the third derivative of -1/27*s**u + 0 - 1/270*s**5 - 1/54*s**4 - 8*s**2 + 0*s. Factor t(w).
-2*(w + 1)**2/9
Let v(x) = -32*x**2 + 28*x + 77. Let q(u) = 26 - 8 - 3*u**2 - 8*u**2 + 8 + 9*u. Let m(t) = -17*q(t) + 6*v(t). Factor m(n).
-5*(n - 4)*(n + 1)
Determine j, given that -77/2*j**4 + 163/2*j**3 + 2 + 13/2*j**5 - 143/2*j**2 + 20*j = 0.
-1/13, 1, 2
Let g(x) be the second derivative of -x**4/18 + 46*x**3/9 - 15*x**2 - 5*x - 2. Factor g(b).
-2*(b - 45)*(b - 1)/3
Determine u so that -56/11 + 24/11*u + 2/11*u**2 = 0.
-14, 2
Let n be (-3)/(-540)*61 - (-2)/(-9). Let q(p) be the third derivative of 1/24*p**6 + 0*p - n*p**5 + 0*p**3 + 0 + 3*p**2 + 1/12*p**4. Factor q(f).
f*(f - 1)*(5*f - 2)
Let l = 19 + 25. What is a in 32*a**2 + 20*a**2 + l*a + 34 - 26 + 16*a**3 = 0?
-2, -1, -1/4
Factor -4/7*u + 0 - 6/7*u**2 - 2/7*u**3.
-2*u*(u + 1)*(u + 2)/7
Let y(c) be the first derivative of -1/3*c**3 + 1/4*c**4 - 1/15*c**5 + 1/6*c**2 + 0*c + 32. What is j in y(j) = 0?
0, 1
Let p(t) = 2*t**4 + 28*t**3 - 76*t**2 + 40*t + 6. Let u(w) = -w**4 - 2*w**3 + 3. Let q(l) = p(l) - 2*u(l). Factor q(k).
4*k*(k - 1)**2*(k + 10)
Let p(i) = -39*i**2 - 30*i - 39. Let u(h) = -4*h**2 + 1. Let n(w) = p(w) - 9*u(w). Solve n(a) = 0 for a.
-8, -2
Let c = 1/453 + 201/151. Let r(m) be the first derivative of 4/5*m**5 + 1 + 1/6*m**6 - c*m**3 + 0*m + 3/4*m**4 - 2*m**2. Let r(t) = 0. What is t?
-2, -1, 0, 1
Let x(v) be the first derivative of v**7/21 + v**6/3 - 16*v - 23. Let y(f) be the first derivative of x(f). Suppose y(w) = 0. What is w?
-5, 0
Suppose -37*q + 221*q**3 - 36*q**2 + 48 + q**4 - 5*q**4 + 53*q - 245*q**3 = 0. Calculate q.
-3, -2, 1
Suppose 5*f - 7*f + 608 = 0. Suppose -303*v = -f*v. Determine w so that 0*w + v - 3/7*w**2 = 0.
0
Suppose -486*m**3 - 143*m**2 - 196*m - 24 + 166*m**5 - 81*m**4 - 383*m**2 - 329*m**3 + 284*m**3 - 58*m**5 = 0. What is m?
-2/3, -1/4, 3
Let j = -25183 + 25185. Factor -3*b - 1/3*b**j - 8/3.
-(b + 1)*(b + 8)/3
Let n be (-4 - 2)*(-25)/3. Suppose g**3 - 117*g**4 + 128*g**5 + 35*g**4 + n*g**4 + g**3 = 0. Calculate g.
0, 1/8
Let 15*q**2 - 26 + 2821*q**3 + 6*q + 2 - 2818*q**3 = 0. Calculate q.
-4, -2, 1
Determine w, given that -14/3*w + 1/6*w**3 + 2/3*w**2 + 16/3 = 0.
-8, 2
Let f(u) be the first derivative of 5 - 16/3*u**2 + 128/9*u + 8/9*u**3 - 1/18*u**4. Find g such that f(g) = 0.
4
Let t(v) = -3*v**3 - v**2 - 2*v - 2. Let l be t(-1). Factor -2*f + 4*f**2 + 12 - l*f**2 - 13 - 3.
2*(f - 2)*(f + 1)
Let l be (-12)/(-140) + (-10)/(-50). Let f(q) be the first derivative of 0*q + 3/14*q**2 + l*q**3 + 3/28*q**4 - 5. Factor f(c).
3*c*(c + 1)**2/7
Let z(k) = -6*k - 11. Let o be z(-2). Suppose -4*d = 5*h - 1, 0 = -d - d - 3*h - o. Determine m, given that -4*m**d + 0*m - 2/3*m**5 - 6*m**3 + 0*m**2 + 0 = 0.
-3, 0
Let c(y) = 41*y - 570. Let z be c(14). Let a(p) be the second derivative of 1/90*p**5 - 2/9*p**2 - 1/27*p**3 + 6*p + 1/27*p**z + 0. Factor a(k).
2*(k - 1)*(k + 1)*(k + 2)/9
Let a(l) be the first derivative of 2/45*l**5 + 0*l - 8/9*l**2 + 15 + 1/9*l**4 - 8/27*l**3. Let a(c) = 0. Calculate c.
-2, 0, 2
Let k(c) be the first derivative of -2*c**5/15 - 2*c**4 - 10*c**3 - 50*c**2/3 - 23. Factor k(o).
-2*o*(o + 2)*(o + 5)**2/3
Let n(b) be the first derivative of b**8/7560 - b**6/540 + b**5/270 + b**3 + 18. Let k(p) be the third derivative of n(p). Factor k(t).
2*t*(t - 1)**2*(t + 2)/9
Let d(t) be the first derivative of -t**4/8 + 5*t**3/6 - 7*t**2/4 + 3*t/2 + 6. Suppose d(i) = 0. What is i?
1, 3
Suppose 22*j + 38*j - j + 7*j = 0. Factor j + 9/5*t**3 + 24/5*t**2 + 12/5*t.
3*t*(t + 2)*(3*t + 2)/5
Let q = 24 - -16. Suppose f + q = 5*f. Factor i**4 + 4*i + 1 - 4*i**3 + 13*i**2 - f*i**2 - 5.
(i - 2)**2*(i - 1)*(i + 1)
Suppose 2*x + 2*x + 3*s = 19, -4*x + 5*s = -11. Let z(l) be the third derivative of -1/270*l**5 + 0 + l**2 + 0*l**3 + 0*l + 0*l**x. Let z(n) = 0. Calculate n.
0
Let b(m) be the first derivative of -5/6*m**6 + 20/3*m**3 - 5/2*m**2 + 0*m + 12 - 15/2*m**4 + 4*m**5. Suppose b(n) = 0. What is n?
0, 1
Let o be 36/162 - (0 + 2/10). Let p(b) be the second derivative of 4*b + 0*b**3 - 1/15*b**5 + 0*b**2 + 0*b**4 + 0 + o*b**6. Factor p(d).
2*d**3*(d - 2)/3
Let s(h) be the second derivative of -h**7/63 + h**6/9 - h**5/10 - 17*h**4/18 + 28*h**3/9 - 4*h**2 - 363*h. Suppose s(w) = 0. What is w?
-2, 1, 2, 3
Let 2888/9 + 2/9*n**2 - 152/9*n = 0. What is n?
38
Factor 6859/3 + 7942/3*w + 1/3*w**4 + 58/3*w**3 + 380*w**2.
(w + 1)*(w + 19)**3/3
Let j be 2/3*(53 - -4). Let q be ((-57)/j)/(2*(-1)/12). Factor q*m**3 + 0*m + 17/2*m**2 - 2 + 5/2*m**4.
(m + 1)**2*(m + 2)*(5*m - 2)/2
Let f(k) = -k**4 + k + 1. Let r(v) = -607*v**2 - 6*v**2 - 282*v - 43*v**4 - 439*v**3 - 42 + 117*v**3. Let x(b) = -6*f(b) - r(b). Find s, given that x(s) = 0.
-3, -2/7
Let f(w) be the second derivative of -w**5/110 - w**4/66 - 60*w. Factor f(z).
-2*z**2*(z + 1)/11
Let l(p) be the third derivative of 1/150*p**5 + 0 + 0*p**3 + 0*p + 1/30*p**4 - 1/300*p**6 - 15*p**2. Factor l(a).
-2*a*(a - 2)*(a + 1)/5
Suppose -11*j = 3*j - 1792. Factor 21*k - 7*k + 26*k + j + 2*k**2 - 8*k.
2*(k + 8)**2
Fa