 - 10*i**3/3 + 3*i**2. Determine v, given that r(v) = 0.
-2, -1, 1/4, 2/5, 1
Let g(z) be the first derivative of z**4/8 - 11*z**3/3 + 35*z**2 - 100*z + 136. Factor g(u).
(u - 10)**2*(u - 2)/2
Let z(i) be the first derivative of -i**5/240 - i**4/32 + 6*i**2 + 10. Let j(m) be the second derivative of z(m). Determine g, given that j(g) = 0.
-3, 0
Factor -366*d**2 + 12*d**3 + 180*d - 10 + 82*d**2 + 72 - 14 + 44.
4*(d - 23)*(d - 1)*(3*d + 1)
Factor 96*x**4 + 3*x**5 + 25*x**3 + 166*x**3 + 1440*x**2 + 400*x**3 + 675*x + 267*x**3.
3*x*(x + 1)**2*(x + 15)**2
Factor 141/2*y**2 + 0 - 3/2*y**3 + 0*y.
-3*y**2*(y - 47)/2
Let z(n) = 2*n**4 - 35*n**3 - 110*n**2 - 46*n. Let c(j) = 6*j**4 - 104*j**3 - 330*j**2 - 148*j. Let y(b) = -3*c(b) + 8*z(b). Factor y(g).
-2*g*(g - 19)*(g + 1)*(g + 2)
Let o(d) = -178*d - 166. Let w be o(-1). Solve 0 + w*m - 27/2*m**4 + 45*m**3 - 42*m**2 = 0.
0, 2/3, 2
Let d(p) = -p**4 - 165*p**3 + 5*p**2 + 5*p. Let f(c) = 4*c**4 + 496*c**3 - 16*c**2 - 16*c. Let a(x) = 16*d(x) + 5*f(x). Factor a(t).
4*t**3*(t - 40)
Let z(l) be the third derivative of -2/5*l**3 + 24*l**2 - 1/150*l**5 + 0 + 0*l - 7/60*l**4. Determine v, given that z(v) = 0.
-6, -1
Let a(i) be the third derivative of -i**5/240 + i**4/48 + i**3/3 - 6*i**2 + 5. Factor a(n).
-(n - 4)*(n + 2)/4
Determine s, given that 34*s**2 + 17 + s**3 - 10*s**2 - 33*s + 0*s**2 - 9*s**2 = 0.
-17, 1
Let p(v) = 242*v - 4596. Let j be p(19). Let 1/5*l**j - 1/5*l**3 + 1/5*l - 1/5 = 0. Calculate l.
-1, 1
Let w(t) be the third derivative of -t**7/42 + t**6/6 + 5*t**5/12 - 136*t**2. Suppose w(o) = 0. What is o?
-1, 0, 5
Suppose 5*g - 17 - 8 = 0. Solve -4*j**4 + 25*j**g - 20*j**5 - 4*j**4 + 3*j**4 = 0 for j.
0, 1
Suppose 9*t - 10*t = -11. Let n(z) = 14*z**3 + 26*z**2 + 24*z + 1. Let o(q) = -5*q**3 - 9*q**2 - 8*q. Let j(m) = t*o(m) + 4*n(m). Factor j(a).
(a + 1)*(a + 2)**2
Let v(g) = g**3 - 14*g**2 - 15*g. Let b be v(15). Suppose -5*d = 3*n - 16, 5*d + b*d - 10 = 0. Determine m so that 0 + 2/3*m - 1/3*m**3 + 1/3*m**n = 0.
-1, 0, 2
Let b(g) = 4*g - 4. Let k be b(6). Suppose -5*x = -x - k. Factor h**2 - 3*h**3 + h**2 - x*h**2 + 6*h**3.
3*h**2*(h - 1)
Let z(a) = 5*a**2 - 29*a - 1. Let l be z(6). Suppose -3*f - 12 = 2*r, r + 4*f = -21 + l. Solve 0 - 2/11*i**2 + 2/11*i**4 + r*i**3 + 0*i = 0.
-1, 0, 1
Let q(u) = 3*u**2 + u - 2. Let n(a) = a**2 + a - 1. Let f(y) = -2*n(y) + q(y). Let i(b) = -50*b**2 - 15*b. Let g(l) = 5*f(l) - i(l). Factor g(j).
5*j*(11*j + 2)
Let l(d) be the third derivative of d**8/560 - 11*d**7/840 + d**6/48 + d**5/20 + d**4/2 - 10*d**2. Let w(y) be the second derivative of l(y). Factor w(i).
3*(i - 2)*(i - 1)*(4*i + 1)
Factor -4 - 2 + 4*b**2 + b**2 - 7*b + 8.
(b - 1)*(5*b - 2)
Let x be (-1*2)/((-14)/4). Suppose 0 = 7*z + 4*j - 4, 221*j - 226*j + 5 = -5*z. Factor -2/7*m**3 + z - 10/7*m**5 + x*m**2 - 16/7*m**4 + 0*m.
-2*m**2*(m + 1)**2*(5*m - 2)/7
Let i(l) = -2*l**4 + l**2 + l + 1. Let h(m) = -26*m**4 + 25*m**3 + 318*m**2 + 323*m - 97. Let v(p) = -h(p) + 3*i(p). Factor v(z).
5*(z - 5)*(z + 2)**2*(4*z - 1)
Let k(g) = -g**4 - 5*g**3 + 2*g**2 - g + 5. Let s(f) = -f**4 - 4*f**3 + 3*f**2 - 2*f + 4. Let r(q) = -4*k(q) + 5*s(q). Factor r(i).
-i*(i - 2)*(i - 1)*(i + 3)
Let t(l) = 33*l**3 + 53*l**2 - 14*l - 6. Let g(d) = 32*d**3 + 54*d**2 - 12*d - 4. Let o(j) = -3*g(j) + 2*t(j). Factor o(s).
-2*s*(s + 2)*(15*s - 2)
Suppose 3 = -128*h + 3. Determine d so that 4/5*d**2 - 16/5 + h*d = 0.
-2, 2
Let q(h) be the first derivative of 2*h**6/21 - 12*h**5/35 + 2*h**4/7 - 44. Factor q(g).
4*g**3*(g - 2)*(g - 1)/7
Let u be 33/(-6) - 6/4. Let y be 11 + -10 + (-23)/u. Let 2/7*l**4 + 0 - 18/7*l + y*l**2 - 2*l**3 = 0. What is l?
0, 1, 3
Let z(n) = -7*n**2 - 2 - 3*n - 2*n**3 - 3*n + n**2. Let h(w) = w**3 + 3*w**2 + 3*w + 1. Let j(k) = 10*h(k) + 4*z(k). Factor j(y).
2*(y + 1)**3
Let l(j) = 54 - 88*j + 6*j**2 + 18*j**2 + 7*j**2 + 7*j**2. Let u(q) = -13*q**2 + 29*q - 18. Let d(a) = -4*l(a) - 11*u(a). Factor d(f).
-3*(f - 3)*(3*f - 2)
Let s(b) = 3*b**2 + 6*b + 6. Let d(p) = p**3 + 4*p**2 + 5*p + 1. Let y be d(-2). Let z(t) = t**2 - t + 1. Let m(a) = y*s(a) + 6*z(a). Let m(w) = 0. Calculate w.
0, 4
Suppose 8 = a + 3*a. Let j(r) be the first derivative of -2*r**a + 5*r**2 + 4 + 0 - r**3. Factor j(k).
-3*k*(k - 2)
Let p = -3092 + 9308/3. Solve -2*y**3 + 32/3*y**4 - 8/3*y + 14/3*y**5 + 0 - p*y**2 = 0.
-2, -1, -2/7, 0, 1
Let t(w) be the second derivative of -5*w**4/12 + 385*w**3 - 266805*w**2/2 + 1008*w. Factor t(n).
-5*(n - 231)**2
Factor 979*m - 112 + 1294*m + 4*m**3 - 120*m**2 - 2045*m.
4*(m - 28)*(m - 1)**2
Let j(v) be the third derivative of -1/33*v**3 - 1/110*v**5 - 1/660*v**6 - 15*v**2 + 0 - 1/44*v**4 + 0*v. Factor j(t).
-2*(t + 1)**3/11
Let v(d) be the second derivative of -3*d**5/35 + 10*d**4/21 - 2*d**3/21 - 12*d**2/7 - 225*d. Factor v(h).
-4*(h - 3)*(h - 1)*(3*h + 2)/7
Let y(t) be the second derivative of t**7/294 + 29*t**6/105 + 57*t**5/7 + 3971*t**4/42 + 6859*t**3/42 + 50*t. Factor y(j).
j*(j + 1)*(j + 19)**3/7
Let u(c) be the second derivative of 1/3*c**3 + 1/6*c**4 - 6*c**2 - 4*c + 0. Solve u(x) = 0 for x.
-3, 2
Let h be 8*1/36 - 1/9. Let n(s) be the first derivative of -3 + 1/2*s**2 + 0*s + h*s**3. Find q such that n(q) = 0.
-3, 0
Let z(k) = 5*k**2 - 1. Let y(x) = 8*x**2 + 129*x + 125. Let u(r) = y(r) - z(r). What is d in u(d) = 0?
-42, -1
Let d(w) be the second derivative of 1/2*w**2 - 3/10*w**3 + 0 - 1/30*w**4 + 1/10*w**5 - 1/210*w**7 - w - 1/50*w**6. Factor d(s).
-(s - 1)**3*(s + 1)*(s + 5)/5
Let b be ((-12)/55)/(((-15)/50)/1). Let g = b - 13/33. Factor -1/3 + 2/3*x**2 + g*x.
(x + 1)*(2*x - 1)/3
Let s be ((-12)/21)/((-4)/42). Suppose 2*h = -n + s, 2*n + 1 = h - 12. Factor 8*y**h + 0*y**3 - 6*y - 7*y**3 + y**3 + 8*y - 4*y**2 + 8*y**4.
2*y*(y + 1)**2*(2*y - 1)**2
Suppose 4*y + 8 = 3*y. Let b be 4/5*(-20)/y. Factor -5*h**2 + 7*h**2 + 2*h - b*h.
2*h**2
Factor 0*u**2 + 7/2*u**3 + 0 + 0*u + 1/2*u**4.
u**3*(u + 7)/2
Let b(w) be the third derivative of 0*w + 2/15*w**6 + 0 - 8/315*w**7 + 4/9*w**4 + 1/504*w**8 + w**2 + 0*w**3 - 16/45*w**5. Factor b(i).
2*i*(i - 2)**4/3
Let q(v) be the third derivative of -v**7/105 - 7*v**6/50 + 29*v**5/150 + 3*v**4/10 - 4*v**2. Suppose q(n) = 0. What is n?
-9, -2/5, 0, 1
Let y(u) be the second derivative of -1/12*u**4 + 0 - 3/80*u**5 + 1/168*u**7 + 7*u + 0*u**2 + 1/60*u**6 + 1/6*u**3. Solve y(r) = 0 for r.
-2, 0, 1
Let i(x) be the third derivative of -x**6/900 - 31*x**5/225 - 224*x**4/45 + 2048*x**3/45 + 4*x**2 - 64. Solve i(t) = 0 for t.
-32, 2
Let x(p) = 3*p**4 + p**3 - p**2 + 11*p - 2. Let r(v) = v**4 + v**3 - v**2 + v + 1. Let d(o) = 4*r(o) - x(o). Factor d(w).
(w - 1)**2*(w + 2)*(w + 3)
Let y(k) be the second derivative of -k**4/6 - 10*k**3/3 - 16*k**2 + k - 37. Suppose y(s) = 0. What is s?
-8, -2
Let v(u) = -134*u + 3219. Let h be v(24). Let 0 - 2/5*a**2 - 2/5*a**4 + 0*a - 4/5*a**h = 0. What is a?
-1, 0
Let p(q) = 2*q - 16. Let a be p(10). Solve 8*y**4 - 7*y**4 + a*y**3 + 3*y**2 + y**2 = 0 for y.
-2, 0
Let q = -61 - -63. Find l, given that -2*l**3 - 2*l**3 - 29*l**q + 25*l**2 = 0.
-1, 0
Let 4*b - 2*b**2 + b**2 - 3*b**2 = 0. Calculate b.
0, 1
Let i = 12/3949 - -2033687/15796. Let r = 129 - i. Factor 1/2*w + r*w**2 + 1/4.
(w + 1)**2/4
Let b = -16121/4 - -4043. Determine u, given that -27/2*u**3 - 15/4*u**4 + 3 + 0*u - b*u**2 = 0.
-2, -1, 2/5
Let y = 91/110 + -1/10. Factor 4/11*m**2 - 14/11*m - y.
2*(m - 4)*(2*m + 1)/11
Solve 3*v**3 - 1213*v**2 - 6*v**3 + 1238*v**2 - 2*v**3 = 0 for v.
0, 5
Let u(y) be the first derivative of 2*y**3/9 - 4*y**2 + 24*y - 16. Solve u(m) = 0.
6
Let b(d) = -2*d**2 + 4*d - 3. Let m be b(5). Let f be m/(-6) - 2 - 0. Solve f*y**2 + 5/2*y - 1 = 0 for y.
-1, 2/7
Solve -40*u**4 - 108*u**3 - 80*u**2 - 20*u**2 - 36*u + 1109 - 1113 = 0.
-1, -1/2, -1/5
Suppose b - 5 = 0, -6*q + q - 5*b + 40 = 0. Suppose 3*j - 2*g - 3 = 5, 22 = 4*j + q*g. Factor -4*s + 6*s**2 + 4*s + 2*s - j - 2*s**4 - 2*s**3 + 0*s**4.
-2*(s - 1)**2*(s + 1)*(s + 2)
Let s be (-69)/(-12) - (-902)/(-328). Factor -8/5 - 2*r**2 + 22/5*r - 4/5*r**s.
-2*(r - 1)*(r + 4)*(2*r - 1)/5
Let m(i) be the second derivative of -i**4/4 + 2*i**3 - 6*i**2 - 39*i. Factor m(u).
-3*(u - 2)**2
Let p(y) be the second derivative of -2*y**5/75 - 7*y**4/60 + 2*y**3/15 + 23*y**2/2 - 17*y. Let d(s) be the first derivative 