Determine g, given that -3*g**4 - 5*g + 3*g - 9*g**2 - g - 9*g**3 = 0.
-1, 0
Suppose -11*l = -644832 + 644810. Find a, given that -8*a - 60/7*a**l + 16/7*a**4 - 10/7*a**3 + 6/7*a**5 - 16/7 = 0.
-2, -1, -2/3, 2
Let l(h) be the second derivative of h**7/336 - 11*h**6/240 - h**5/160 + 11*h**4/96 + 50*h. Let l(m) = 0. Calculate m.
-1, 0, 1, 11
Let s(j) be the first derivative of -576/5*j - 4/15*j**3 - 48/5*j**2 - 26. Factor s(h).
-4*(h + 12)**2/5
Let i = 98/37 - 575/259. Determine n, given that -6/7*n**3 + 0 + 0*n - 3/7*n**2 - i*n**4 = 0.
-1, 0
Let n be 361/741 - 4/26. Let r = n + 5/12. Factor -3/4 - 3/4*c**3 + 3/4*c**2 + r*c.
-3*(c - 1)**2*(c + 1)/4
Let q(c) = c**2 - 880*c - 24209. Let w(a) = -220*a - 6052. Let h(x) = -2*q(x) + 9*w(x). Find s such that h(s) = 0.
-55
Let b(q) be the first derivative of 3*q**5/5 + 73*q**4/16 + 15*q**3/4 - 12*q**2 + 5*q + 437. Let b(o) = 0. Calculate o.
-5, -2, 1/4, 2/3
Suppose 39 - 781*o**2 - 39 + 785*o**2 + 24*o - 4*o**3 = 0. What is o?
-2, 0, 3
Let i(b) be the third derivative of b**7/210 - b**6/200 - b**5/60 + b**4/40 - 402*b**2. Factor i(w).
w*(w - 1)*(w + 1)*(5*w - 3)/5
Let c(j) = 6*j + 28*j**2 - 8*j**3 - 3*j - 36*j**2. Let o(t) = 15*t**3 + 15*t**2 - 5*t. Let u(z) = 5*c(z) + 3*o(z). Factor u(n).
5*n**2*(n + 1)
Let x be ((-31)/5 + 4)*24/(-44). Determine z so that -1/5*z**5 - 8/5*z**3 + 9/5*z - x*z**2 + 6/5*z**4 + 0 = 0.
-1, 0, 1, 3
Let o(c) = -12*c + 6. Let t(n) = 5*n**2 + 13*n - 2. Let f(x) = -x**2 - 1. Let q(l) = 4*f(l) + t(l). Let v(b) = -4*o(b) - 3*q(b). Suppose v(w) = 0. What is w?
1, 2
Let a(j) be the second derivative of -j**4/24 - 29*j**3/36 - 3*j**2/2 + 97*j. Factor a(u).
-(u + 9)*(3*u + 2)/6
Let p = -923/15 - -361/5. Factor 4/3*b**5 + 0 - 20/3*b**4 + 0*b - 16/3*b**2 + p*b**3.
4*b**2*(b - 2)**2*(b - 1)/3
Let d be 80/(-55)*((-28)/16)/7. Let b(q) be the second derivative of 0 - 1/110*q**5 + 5/66*q**4 + q - 8/33*q**3 + d*q**2. Suppose b(y) = 0. Calculate y.
1, 2
Let d be ((-9)/2)/((36/(-128))/(-3)). Let r be -1*5*(d/(-45))/(-8). Suppose -13/3*u - 32/3*u**2 - r - 22/3*u**4 - 38/3*u**3 - 5/3*u**5 = 0. Calculate u.
-1, -2/5
Let i = -69 - -72. Let l**3 - 10*l**3 + 4*l**4 - 9*l**2 - i*l - 7*l**4 = 0. What is l?
-1, 0
Let p(x) = -x**5 - x**4 - x**3 + 1. Let i(a) = 2*a**5 + 14*a**4 - a**3 - 6*a**2 + 9*a - 8. Let c(j) = -i(j) - 5*p(j). Determine s, given that c(s) = 0.
-1, 1
Let q(a) be the second derivative of 13/2*a**3 + 0 + 18*a + 2/5*a**6 + 3*a**2 + 51/20*a**5 + 6*a**4. What is w in q(w) = 0?
-2, -1, -1/4
Let q(o) = 22*o**3 + 533*o**2 + 4867*o + 7. Let y(v) = 15*v**3 + 355*v**2 + 3245*v + 5. Let d(u) = -5*q(u) + 7*y(u). What is z in d(z) = 0?
-18, 0
Factor -402/5*y**2 - 406/5*y - 26*y**3 + 2/5*y**4 - 136/5.
2*(y - 68)*(y + 1)**3/5
Let c(s) be the first derivative of -2*s**3/27 - 5*s**2/9 + 84. Suppose c(y) = 0. What is y?
-5, 0
Factor -1510 - 58*z**2 + 4*z**3 + 739*z + 354 - 82*z**2 + 553*z.
4*(z - 17)**2*(z - 1)
Let u = -597548/17 + 35150. Factor 2/17*c**2 + 0*c + 0 - u*c**3 + 2/17*c**5 - 2/17*c**4.
2*c**2*(c - 1)**2*(c + 1)/17
Let t(n) be the second derivative of 1/4*n**2 + 1/12*n**3 + 7*n - 1/40*n**5 + 0 - 1/24*n**4. Let t(k) = 0. Calculate k.
-1, 1
Let l(m) be the second derivative of m**4/24 + 3*m**3/4 - 5*m**2/2 + 10*m + 7. Factor l(u).
(u - 1)*(u + 10)/2
Let g(l) = -3*l**3 + 9*l**2 - 25*l + 148. Let a be g(4). Factor 2/13*z**4 - 2/13*z**3 + 0*z - 4/13*z**2 + a.
2*z**2*(z - 2)*(z + 1)/13
Let r(w) be the third derivative of 0*w - 1/12*w**6 - 1/6*w**5 + 0*w**4 + 0*w**3 - 25*w**2 + 0 - 1/84*w**7. Factor r(u).
-5*u**2*(u + 2)**2/2
Let h = 322 + -322. Let b(x) be the first derivative of 1/4*x**6 - 3/8*x**4 - 1/2*x**3 + h*x - 1 + 0*x**2 + 3/10*x**5. Let b(o) = 0. What is o?
-1, 0, 1
Let z(q) = 4*q**2 - 1. Let r = 3 - 2. Let i be z(r). Factor -3*c**i - 3*c + 5*c - 5*c**2 + 4*c**5 + 5*c**4 - 3*c.
c*(c - 1)*(c + 1)**2*(4*c + 1)
Factor 0 - 42*q**3 - 87/2*q**2 - 3/2*q.
-3*q*(q + 1)*(28*q + 1)/2
Let d(q) be the second derivative of q**6/6 - 2*q**5 - 55*q**4/12 + 15*q**3 + 2*q - 5. Factor d(u).
5*u*(u - 9)*(u - 1)*(u + 2)
Suppose -4*j + 23 = 3. Let z be 0 + 98/12 + -19 + 11. Determine h so that 0 + 0*h + 0*h**2 + 1/6*h**j + 0*h**3 - z*h**4 = 0.
0, 1
Let r(i) be the third derivative of i**6/80 - 3*i**5/40 + 56*i**2. Factor r(k).
3*k**2*(k - 3)/2
Let b(l) be the second derivative of 0 + 0*l**2 - 4/27*l**4 - 1/90*l**5 - 14*l - 16/27*l**3. Find k such that b(k) = 0.
-4, 0
Let o(j) = 15*j**4 - 22*j**3 - 8*j**2 + 16*j - 5. Let z(p) = p**3 - p**2 + 2*p. Let b(c) = o(c) + 2*z(c). Let b(s) = 0. What is s?
-1, 1/3, 1
Let g be 3/15 + (0 - -10 - (-336)/(-35)). Determine a so that -7/5*a**4 - 22/5*a**2 - 18/5*a**3 - g - 1/5*a**5 - 13/5*a = 0.
-3, -1
Let d(g) be the second derivative of 3*g**5/40 + 13*g**4/4 + 169*g**3/4 + 55*g. Factor d(k).
3*k*(k + 13)**2/2
Suppose -636 + 615 = -7*m. Let 0*f - 2/3*f**4 - 4/3*f**m + 0 - 2/3*f**2 = 0. Calculate f.
-1, 0
Let u(o) be the second derivative of 22*o - 2662*o**2 - 242*o**3 - 11*o**4 + 0 - 1/5*o**5. Solve u(a) = 0 for a.
-11
Let w(b) be the first derivative of -2*b**3/39 + 236*b**2/13 - 27848*b/13 + 459. Factor w(f).
-2*(f - 118)**2/13
Let k(h) be the first derivative of -5 + 7/24*h**4 - 1/4*h**2 + 2*h - 1/6*h**3 - 1/10*h**5. Let d(y) be the first derivative of k(y). Factor d(x).
-(x - 1)**2*(4*x + 1)/2
Suppose -41*a**2 + a**5 - 7*a**3 + 74*a**2 - 39*a**2 = 0. Calculate a.
-2, -1, 0, 3
Let y(o) = 212*o + 3184. Let a be y(-15). Let 166/19*p**3 - 66/19*p**a - 4/19 - 138/19*p**2 + 42/19*p = 0. What is p?
2/11, 1/3, 1
Let o(a) be the second derivative of -a**7/210 - a**6/40 - a**5/60 + a**4/8 + a**3/3 - 9*a**2/2 - 10*a. Let p(b) be the first derivative of o(b). Factor p(c).
-(c - 1)*(c + 1)**2*(c + 2)
Let l(y) = y - 2. Let z be l(6). Factor 7*m**3 + m**2 - 8*m + 4 - 5*m**4 - z*m**5 + 0*m**3 + 5*m**5.
(m - 2)**2*(m - 1)**2*(m + 1)
Let g = -33 + 36. Let k be 6/21 + 38/14. Find z, given that 4*z - 4*z**2 + 30*z**4 - 26*z**4 - z**g - 3*z**3 + 0*z**k = 0.
-1, 0, 1
Let o(x) be the first derivative of x**5/60 + x**4/12 - x**3/2 - 7*x**2/2 - 19. Let c(n) be the second derivative of o(n). Suppose c(v) = 0. Calculate v.
-3, 1
Suppose -3*h - 24 = -l - 2*l, 4*l - 30 = 5*h. Suppose -3*x + l = 2*x. Let -14/3*u**x + 10/3*u + 4/3 = 0. Calculate u.
-2/7, 1
Factor 4 - 6/7*p**2 + 38/7*p + 2/7*p**4 - 2*p**3.
2*(p - 7)*(p - 2)*(p + 1)**2/7
Let a(g) be the third derivative of g**8/560 - g**7/50 - g**6/100 + 7*g**5/50 + g**4/40 - 7*g**3/10 - 25*g**2. Suppose a(i) = 0. Calculate i.
-1, 1, 7
Suppose -15 - 24*s**2 + s - 31 - 18*s - 8*s + 23*s**2 = 0. Calculate s.
-23, -2
Let a(n) be the third derivative of n**5/20 + 5*n**4/4 + 25*n**3/2 + 7*n**2 + 1. Determine l so that a(l) = 0.
-5
Let r(w) be the third derivative of w**8/336 + w**7/15 + 17*w**6/60 + 2*w**5/15 - 35*w**4/24 - 11*w**3/3 + 57*w**2 - 4*w. Find v such that r(v) = 0.
-11, -2, -1, 1
Let z(d) be the third derivative of -d**6/180 - d**5/10 - 2*d**4/9 + 390*d**2. Factor z(i).
-2*i*(i + 1)*(i + 8)/3
Suppose -4*x + 15*x - 33 = 0. Suppose -g - x*m = -9, 4*g = 3*m + 1 - 10. Factor 1/5*w + 1/5*w**2 + g.
w*(w + 1)/5
Let c(p) = -5*p**2 + 3*p + 6. Let x(r) = 175*r + r**2 - 176*r + 2 - 3. Let v(l) = c(l) + 4*x(l). Find u such that v(u) = 0.
-2, 1
Factor 0*z**3 + 2/5*z**4 - 2/15*z**5 + 0*z + 0 + 0*z**2.
-2*z**4*(z - 3)/15
Let l(n) = -n**2 + 2. Let p be l(3). Let g be 4/p + 78/14. What is m in 6/7*m**4 - 8/7*m**2 + 2/7*m**g + 0 + 0*m**3 + 0*m = 0?
-2, 0, 1
Let c(y) be the third derivative of y**5/12 + 25*y**4/6 + 250*y**3/3 - 10*y**2. Factor c(g).
5*(g + 10)**2
Let g(z) = -z**2 + 7*z + 16. Let o be g(9). Let k be (o/12)/((-1)/27). Factor -7/2*b**2 + k*b - 1.
-(b - 1)*(7*b - 2)/2
Let u(x) = x**5 + 2 + 2*x - 3*x + 2 - 3. Let a(c) = 3*c**5 - 3*c**3 + 2*c**2 - 2*c + 2. Let w(t) = 5*a(t) - 10*u(t). Suppose w(k) = 0. What is k?
-2, 0, 1
Let d(s) be the second derivative of -s**4/4 + 17*s**3 - 867*s**2/2 - 190*s. Factor d(z).
-3*(z - 17)**2
Suppose 3*j = 15, -4*j = -3*q - 485 + 465. Factor 0 - 4/3*d**3 - 5/3*d**2 + 1/3*d**4 + q*d.
d**2*(d - 5)*(d + 1)/3
Let w be ((-8 - -19) + -6)*(-3)/(-5). Let c(a) be the second derivative of a + 1/32*a**4 + 0*a**2 - 1/24*a**w + 0 - 1/160*a**5. Let c(z) = 0. Calculate z.
0, 1, 2
Let x(i) be the first derivative of -11*i**6/1260 - 31*i**