 (-2)/2 + -2. Determine r, given that 7*r**t + 4*r**2 - 11*r - 11*r**4 + 11*r - 4*r**3 + 4*r**5 = 0.
-1, 0, 1
Solve 14*z + 16/5*z**2 - 2/5*z**3 - 588/5 = 0 for z.
-6, 7
Let i(n) be the third derivative of -n**5/180 - n**4/2 - 15*n**2 - 4. Factor i(l).
-l*(l + 36)/3
Let r be -1 - 4/(-2)*(-6)/(-12). Let d(y) be the second derivative of 11*y - 2/15*y**6 + 8/3*y**3 - 2/3*y**4 - 4/5*y**5 + 6*y**2 + r. Factor d(m).
-4*(m - 1)*(m + 1)**2*(m + 3)
Suppose -44*u**3 + 5/3*u**4 - 729 + 378*u**2 - 972*u = 0. What is u?
-3/5, 9
Let k(i) = 5*i**2 - 377*i + 442. Let g(f) = -5*f**2 + 386*f - 441. Let h(l) = -7*g(l) - 6*k(l). Factor h(c).
5*(c - 87)*(c - 1)
Let f(h) = 4*h - 48. Let d be f(13). Let k(o) be the first derivative of 1 - 1/3*o**3 + 2*o**2 - d*o. Suppose k(r) = 0. What is r?
2
Suppose -10 = -h - b, 5*b = 2*h + 17 - 2. Suppose 0 = 4*j + h*k - 13, -5*k - 3 = -j - 6. Let -r**3 - 4*r**3 + j*r**3 = 0. What is r?
0
Let r(n) be the second derivative of -n**5/20 - n**4/4 - n**2 + 11*n. Let w(f) = -5*f**3 - 13*f**2 - 9. Let m(l) = -18*r(l) + 4*w(l). Factor m(v).
-2*v**2*(v - 1)
Let a(r) be the third derivative of -20*r**2 + 1/15*r**5 - 2*r**3 + 0*r + 0 - 1/3*r**4. Solve a(y) = 0.
-1, 3
Suppose 2*u = 5*s + 1, -3*u - 1 = -4*s - 6. What is i in i + 5*i**u - i**3 - 2 - 5*i**3 + 2*i**2 + 0*i = 0?
-1, 1, 2
Let u = 91 - 88. Let q(w) = 10*w - 27. Let m be q(u). Factor -3/2*o**2 + 3/2*o**m - 1/2*o**4 + 1/2*o + 0.
-o*(o - 1)**3/2
Let v be 10/(-4) - ((-104)/(-91))/((-12)/42). Factor 3/2*y + v*y**2 - 9.
3*(y - 2)*(y + 3)/2
Let p(u) be the first derivative of 3*u**4/16 + 29*u**3/8 - 141*u**2/16 + 6*u - 114. Let p(b) = 0. What is b?
-16, 1/2, 1
What is j in -8/3*j + 64/9 + 2/9*j**2 = 0?
4, 8
Let j(i) be the second derivative of 0 - 1/40*i**6 + 11*i - 1/4*i**3 - 3/20*i**5 + 0*i**2 - 5/16*i**4. Factor j(w).
-3*w*(w + 1)**2*(w + 2)/4
Let 8 - 12*a**2 + 8*a + 8 - 2488*a**3 - 2*a**4 + 2478*a**3 = 0. Calculate a.
-2, 1
Let a(v) = v**3 + 3*v**2 - 2. Let s = 2 - 4. Let j be a(s). Find c such that -9*c - 4*c**2 + 2 - 2*c**j + 0*c**2 - 5 = 0.
-1, -1/2
Let h = 1137/4 + 53/4. Let i = -284 + h. Determine a so that i + 3/2*a**2 - 9*a = 0.
3
Factor 51*l + 12 - 777*l**4 + 6 + 780*l**4 + 21*l**3 + 51*l**2.
3*(l + 1)**2*(l + 2)*(l + 3)
Let q be 25/10*(5 - 3). Suppose 5*z = -4*x - 12, -q*z - 22 = -5*x - 2*z. Factor -2/11*a**3 + 0 - 8/11*a - 8/11*a**x.
-2*a*(a + 2)**2/11
Suppose -6*x - 12 = -5*x + 5*l, 0 = 5*x - 3*l - 24. Factor 0 + 2/13*j**4 - 2/13*j**2 + 8/13*j**x - 8/13*j.
2*j*(j - 1)*(j + 1)*(j + 4)/13
Let o(z) = z**2 + 14*z + 2. Let u be o(-14). Find d such that -5*d**2 + 7*d**2 + d**2 + 0*d**u = 0.
0
Let b be -3 - ((-6)/(-9) - (-446)/(-120)). Let v(u) be the second derivative of 0*u**2 - 1/6*u**3 + 2*u - 1/6*u**4 - b*u**5 + 0. Factor v(y).
-y*(y + 1)**2
Suppose -51*m + 65 = -46*m. Let m*t - 8*t + 3*t - 2*t**2 - 2*t**2 = 0. What is t?
0, 2
Suppose -x = -2*x + 5. Suppose -x*t = -0*t. Factor -2 - 6*r**3 + 2*r**2 + 4*r**3 + 2*r + t*r.
-2*(r - 1)**2*(r + 1)
Let z be (0/(-1))/(6 - 5). Let i be -1*(-32)/(-20) - -2. Factor -2/5*w**4 + z*w - i*w**2 + 4/5*w**3 + 0.
-2*w**2*(w - 1)**2/5
Let d(m) be the third derivative of m**6/360 + 3*m**3 - 18*m**2. Let b(u) be the first derivative of d(u). Suppose b(x) = 0. Calculate x.
0
Let o(x) = -59*x**2 - 252*x + 17418. Let l(h) = 49*h**2 + 254*h - 17419. Let u(z) = 6*l(z) + 5*o(z). Factor u(i).
-(i - 132)**2
Let a(w) be the second derivative of w**5/60 - 5*w**4/36 + 2*w**3/9 + 17*w + 1. Suppose a(y) = 0. Calculate y.
0, 1, 4
Suppose 0 = -3*i + 9, 0*n - 5*i + 19 = -2*n. Let m be -1*1/n*0. Find r such that 5*r**4 + 0 + m - 10*r**2 + 5 = 0.
-1, 1
Suppose 0 = -3*k - 3*q + 42, -20 = -0*k - 2*k + 2*q. Factor 4 + 2*c**2 + k*c + 10 - 2 + c**2.
3*(c + 2)**2
Let k be (-2688)/(-918) - (-8)/(-36). Factor -k*z**3 - 26/17*z - 54/17*z**2 - 4/17 - 14/17*z**4.
-2*(z + 1)**3*(7*z + 2)/17
Let f(a) be the second derivative of -4/5*a**6 + 30*a**7 + 0*a**2 - 2*a - 8/15*a**4 + 0 + 0*a**3 - 92/25*a**5. Let f(h) = 0. What is h?
-2/15, 0, 2/7
Let l(k) = 23*k**3 + 31*k**2 - 2*k - 25. Let w(y) = y**3 + y**2 - 2*y + 1. Let a(g) = l(g) + 5*w(g). Factor a(f).
4*(f + 1)**2*(7*f - 5)
Let s(c) be the second derivative of c**6/30 + 3*c**5/20 + c**4/12 - c**3/2 - c**2 - c - 70. Factor s(l).
(l - 1)*(l + 1)**2*(l + 2)
Let s(p) = -p**4 - 35*p**3 + 3*p**2 + 161*p + 100. Let h(a) = -a**4 - 70*a**3 + 8*a**2 + 321*a + 200. Let u(k) = -6*h(k) + 11*s(k). What is x in u(x) = 0?
-1, 4, 5
Let g = -33 + 56. Let y = g + -21. Factor 11*z**y + 4 + 4*z**5 - 8*z**3 + 4*z + 0*z**5 - 19*z**2 + 4*z**4.
4*(z - 1)**2*(z + 1)**3
Factor 3*v**5 + 141*v - 18*v**4 - 4*v**5 - 4*v**5 - 6*v**4 - 204*v**2 + 2*v**5 + 126*v**3 - 36.
-3*(v - 1)**4*(v + 12)
Factor 9*a**2 + 149 + 144 - 48*a + 3*a**3 - 257.
3*(a - 2)*(a - 1)*(a + 6)
Let h be 9/(-18)*(-4)/6*6. Let s be h + -2 + (-12)/(-22). What is m in 0*m**2 + 4/11*m**3 + 2/11*m**5 - s*m**4 + 0 + 0*m = 0?
0, 1, 2
Let q(x) be the second derivative of x**7/21 + 2*x**6/5 - 7*x**5/10 - 35*x. Factor q(o).
2*o**3*(o - 1)*(o + 7)
Factor -11/3*m**2 + 5/6*m**3 - 7 - 85/6*m.
(m - 7)*(m + 2)*(5*m + 3)/6
Let s(x) be the first derivative of x**4/20 + 153*x**3/5 + 70227*x**2/10 + 3581577*x/5 - 385. Suppose s(a) = 0. Calculate a.
-153
Let z be 36/15 + 3234/(-1470). Factor 1/5*b**2 - 2/5 - z*b.
(b - 2)*(b + 1)/5
Let d(z) = z**3 + 2*z**2 - 4. Let v(m) = -2*m**2 + m. Let x(f) = 3*d(f) - 3*v(f). Let x(b) = 0. Calculate b.
-4, -1, 1
Let y(g) = -4*g + 5. Let w be y(2). Let f be (1/(45/(-6)))/(w/189). What is b in -12/5*b**2 + 6/5*b**4 - f*b**3 + 21/5*b + 21/5*b**5 + 6/5 = 0?
-1, -2/7, 1
Let d = 3/1117 - -21211/4468. Factor d*q + 3/2 - 7/4*q**2.
-(q - 3)*(7*q + 2)/4
Let h(q) = -79*q + 7830. Let i be h(99). Factor -11/4*s**4 + 0 - i*s**3 - 1/4*s**5 + 16*s - 4*s**2.
-s*(s - 1)*(s + 4)**3/4
Let k(t) be the first derivative of -t**5/55 + t**4/11 + 2*t**3/11 - 2*t**2/11 - 5*t/11 + 305. Find d, given that k(d) = 0.
-1, 1, 5
Suppose 4*f + 3 = t, -3*t - 3*f = 2*f - 9. Factor -2*u**3 - 3 + 4*u**t - 6*u + 4*u**3 + 3*u**4.
3*(u - 1)*(u + 1)**3
Let t be (3 + (-45)/5)/(-2). Suppose -15*i**2 - 3*i**3 + 41*i**4 + 5*i - 2*i**t + 10 - 36*i**4 = 0. Calculate i.
-1, 1, 2
Suppose 0 = 3*s - s - 6. Factor 3*v**3 - 16*v - 20*v**2 - 9*v - 6*v**3 - 2*v**s - 10.
-5*(v + 1)**2*(v + 2)
Let j(x) = x**3 + 6*x**2 - 8*x + 3. Let z(l) = -l**2 - 1. Let a(u) = -j(u) + 2*z(u). Let r be a(-9). Factor -k**3 - k**3 + r*k**3 - 2*k**4.
-2*k**3*(k - 1)
Let q(n) be the first derivative of 2 + 3/32*n**4 + 3/4*n**3 - 9/4*n - 3/16*n**2. Factor q(y).
3*(y - 1)*(y + 1)*(y + 6)/8
Let y(f) = f**2 + 32*f + 5. Let w be y(-32). Factor -4/15*l**2 - 2/15*l**w + 2/5*l**3 + 0*l**4 + 0*l + 0.
-2*l**2*(l - 1)**2*(l + 2)/15
Let y be (-51)/54*-2*(-9)/(-4). What is k in 12*k**2 + 31/2*k**3 + y*k + 9/4*k**5 + 19/2*k**4 + 1/2 = 0?
-1, -2/9
Let y(g) be the first derivative of -5/3*g**3 + 25/2*g**2 - 13 - 30*g. Factor y(a).
-5*(a - 3)*(a - 2)
Let i(l) be the third derivative of 0 + 1/420*l**8 + 7*l**2 + 0*l + 0*l**3 - 1/75*l**5 + 2/525*l**7 + 0*l**4 - 1/150*l**6. Factor i(q).
4*q**2*(q - 1)*(q + 1)**2/5
Let d(g) be the first derivative of 8*g**6/3 - 186*g**5/35 - 13*g**4/14 + 58*g**3/7 - 43*g**2/7 + 12*g/7 - 15. Let d(c) = 0. What is c?
-1, 2/7, 3/8, 1
Let b(h) be the third derivative of -h**10/7200 + h**9/6720 - 11*h**5/60 - 2*h**2. Let r(z) be the third derivative of b(z). Solve r(p) = 0 for p.
0, 3/7
Let z(i) be the first derivative of i**7/210 - i**5/30 - 2*i**3/3 - 6. Let u(w) be the third derivative of z(w). Solve u(q) = 0.
-1, 0, 1
Let s = 2627 - 13133/5. Suppose 4*x = -0*x. Determine a so that -1/5*a + x - 1/5*a**3 + s*a**2 = 0.
0, 1
Let s = 39 - -6. Let f be ((-6)/(-2))/(s/165). Let b(z) = -4*z**2 + 12*z + 14. Let h(l) = l**2 - 4*l - 5. Let r(v) = f*h(v) + 4*b(v). What is q in r(q) = 0?
-1/5, 1
Let k(l) be the third derivative of -1/84*l**8 + 0*l**3 - 2/15*l**5 + 0*l - 13*l**2 + 4/105*l**7 + 0 + 1/6*l**4 + 0*l**6. Factor k(y).
-4*y*(y - 1)**3*(y + 1)
Let m(g) be the second derivative of -1/15*g**4 - 2*g - 1/75*g**5 + 2/5*g**3 + 0 + 4*g**2. Let r(h) be the first derivative of m(h). Factor r(t).
-4*(t - 1)*(t + 3)/5
Let d(k) be the second derivative of 0*k**2 + 7/60*k**6 + 0 + 11/24*k**4 + 3*k + 1/6*k**3 + 2/5*k**5. Let d(s) = 0. What is s?
-1, -2/7, 0