0)/90*t/6. Factor -1/3*u**2 - g - u.
-(u + 1)*(u + 2)/3
Find l such that -112003*l**2 - 1520*l - 4 - 45418*l**2 + 37060*l**2 - 24039*l**2 = 0.
-1/190
Let w(r) = -7*r**4 + 131*r**3 - 836*r**2 - 978*r - 2. Let b(u) = -50*u**4 + 915*u**3 - 5850*u**2 - 6845*u - 15. Let l(d) = 2*b(d) - 15*w(d). Factor l(x).
5*x*(x - 14)**2*(x + 1)
Let c(h) be the second derivative of 2*h**6/15 + 8*h**5/5 + 20*h**4/3 + 32*h**3/3 - h + 72. Factor c(u).
4*u*(u + 2)**2*(u + 4)
Let p(n) be the second derivative of -3*n**5/35 + 5*n**4/28 + n**3/7 - 9*n**2/14 - 454*n + 2. Factor p(g).
-3*(g - 1)**2*(4*g + 3)/7
Solve 4/9 - 14/9*d + 10/9*d**2 = 0 for d.
2/5, 1
Let f(z) = -4*z + 1. Let i be f(2). Let v = -4 - i. Factor 0*k + 3*k**3 + k**3 - 8*k**2 + 8*k - 2*k**v.
2*k*(k - 2)**2
Let w(u) be the second derivative of -147*u**4/8 - 35*u**3 - 25*u**2 - 123*u. Factor w(c).
-(21*c + 10)**2/2
Suppose 6*b + 20 = 8. Let m = 0 - b. Factor 3*w**3 + 1 + 10*w + 3 + 8*w**m - w**3.
2*(w + 1)**2*(w + 2)
Suppose -29*b + 102 = 5*b. Let d be (-2)/(-6) + (-33)/(-9). What is y in 0 + 2/3*y**d + 0*y + 0*y**b + 0*y**2 = 0?
0
Let j = 618 - 616. Solve -18/19*k**5 + 12/19*k**4 - 8/19*k**j - 8/19*k + 22/19*k**3 + 0 = 0 for k.
-2/3, 0, 1
Let h = -17/2 + 128/15. Let b(j) be the third derivative of -j**2 - h*j**5 + 1/12*j**4 + 1/180*j**6 + 0 + 0*j - 1/9*j**3. Factor b(a).
2*(a - 1)**3/3
Let m(l) be the first derivative of 0*l**2 + l**3 - 9/4*l**4 - 9 + 0*l. Factor m(u).
-3*u**2*(3*u - 1)
Let r be ((-385)/(-44))/(-7) + (-39)/(-28). Factor r*a**3 + 4/7*a + 5/7*a**2 + 0.
a*(a + 1)*(a + 4)/7
Let d = -9175/42 - -437/2. Let k(m) be the third derivative of -d*m**3 - 11/420*m**6 + 0 + 0*m - 5*m**2 + 3/70*m**5 - 1/84*m**4 + 4/735*m**7. Factor k(r).
2*(r - 1)**3*(4*r + 1)/7
Let b(s) be the third derivative of 0 - 3*s**2 + 1/240*s**6 - 1/48*s**4 + 0*s + 1/6*s**3 - 1/60*s**5. Determine a so that b(a) = 0.
-1, 1, 2
Let z(n) = -n**3 - 13*n**2 - 15*n - 33. Let b be z(-12). Factor -5*f**5 - 8*f**2 + 23*f - 8 + 16*f**4 - 10*f**b - 3*f + f**5 - 6*f**3.
-4*(f - 2)*(f - 1)**3*(f + 1)
Suppose -3/5*b + 21/5*b**4 + 3*b**2 - 27/5*b**3 + 0 - 6/5*b**5 = 0. What is b?
0, 1/2, 1
Let -864/19*z + 8/19*z**4 - 216/19 + 74/19*z**3 + 18/19*z**2 = 0. What is z?
-6, -1/4, 3
Factor -2*h**2 + 198*h - 11749 + 14*h - 1699 + 116*h.
-2*(h - 82)**2
Suppose -8*t - 16 = -2*q - 3*t, -2 = -4*q - 5*t. Let u(x) be the second derivative of 0*x**q + 1/36*x**4 + 0 + 0*x**2 - 3*x. Suppose u(k) = 0. Calculate k.
0
Let u = -2051 + 10262/5. Determine p, given that -37/5*p**4 - 67/5*p**2 - 73/5*p**3 - 4/5 - u*p**5 - 28/5*p = 0.
-2, -1, -2/7
Let w(m) = -18*m + 110. Let x be w(6). Let r(k) be the first derivative of 0*k + 7 - 2*k**x + 2/3*k**3. Solve r(c) = 0 for c.
0, 2
Let w(x) be the third derivative of -x**6/1260 - 2*x**5/105 - 4*x**4/21 + 5*x**3/2 - 7*x**2. Let j(v) be the first derivative of w(v). What is g in j(g) = 0?
-4
Let y be (12/7)/(672/784). Solve 21/5*k + 3/5*k**4 - 9/5 - y*k**2 + 1/5*k**5 - 6/5*k**3 = 0 for k.
-3, 1
Let a be -25*(-5 + 44/10). Solve -a*q - 8*q - 5*q**2 + 6*q**3 - 3*q**3 + 7*q + 12 = 0.
-2, 2/3, 3
Factor 56/3*a**2 + 4/3*a**3 + 64/3 - 124/3*a.
4*(a - 1)**2*(a + 16)/3
Suppose -9*q + 9*q = -9*q. Let f(g) be the third derivative of -1/12*g**5 + q*g - 4*g**2 + 0 + 0*g**3 + 5/24*g**4. Factor f(a).
-5*a*(a - 1)
Suppose 0 = 17*v + 3*v. Let s(z) be the third derivative of 0*z - 1/240*z**6 + 0*z**3 + v*z**5 + 1/48*z**4 + 0 - 7*z**2. Let s(u) = 0. Calculate u.
-1, 0, 1
Let z(c) be the third derivative of 0 - 12*c**2 - 1/80*c**5 + 1/320*c**6 + 0*c**3 + 1/560*c**7 + 0*c + 0*c**4. Solve z(v) = 0.
-2, 0, 1
Let m = 214030/133 - 11264/7. Factor -4/19*t**2 + m*t**3 + 2/19*t + 0.
2*t*(t - 1)**2/19
Factor 299 - 267 + 16*a + 18*a + 2*a**2.
2*(a + 1)*(a + 16)
Let b(a) = -a. Suppose 5 = -2*o + 1. Let n(j) = 2*j**2 + 4*j. Let h(x) = o*b(x) + n(x). Let h(t) = 0. Calculate t.
-3, 0
Let m be 3/((-12)/(-116)) - 4. Suppose 6*a + 1 - 2*a**2 - 6*a**3 + 3 + 23*a**4 - m*a**4 = 0. What is a?
-2, -1, 1
Let v = -24 + 131. Let 13*b**3 + 8*b - 2*b**5 - b**3 + 91*b**2 - 2*b - v*b**2 = 0. Calculate b.
-3, 0, 1
Suppose -77*o + 76*o - l - 1 = 0, 5*o + 3*l - 3 = 0. Factor 26/15*f**o - 2/15*f**4 - 14/3*f**2 + 0 - 98/15*f.
-2*f*(f - 7)**2*(f + 1)/15
Let k = -31 - -56. Let -43 + 57 - k*h**2 - 34 - 3*h**3 - 2*h**3 - 40*h = 0. Calculate h.
-2, -1
Let q = 13 - 9. Let s be ((3 - q) + 0)*-3. Factor 8/11*p**s + 0 + 4/11*p - 2/11*p**4 - 10/11*p**2.
-2*p*(p - 2)*(p - 1)**2/11
Let p(s) be the first derivative of 1/6*s + 0*s**2 - 1/18*s**3 - 7. Factor p(i).
-(i - 1)*(i + 1)/6
Let w(r) be the first derivative of -3*r**5/10 + 11*r**4/3 + 43*r**3/3 + 18*r**2 - 28*r + 38. Let o(n) be the first derivative of w(n). What is k in o(k) = 0?
-1, -2/3, 9
Let u(o) be the third derivative of 17*o**6/540 - 19*o**5/270 - 25*o**4/27 + 4*o**3/9 + 76*o**2. Determine j so that u(j) = 0.
-2, 2/17, 3
Let q = 201 - 199. Let u(f) be the second derivative of 1/48*f**4 + 0 - 1/3*f**3 + 2*f**q - 4*f. Let u(o) = 0. Calculate o.
4
Determine s, given that -s**2 + 3*s**2 - 8 - 25*s + 35*s + 20 = 0.
-3, -2
Determine h, given that 0 - h**4 + 1 - 5*h**2 - 3 - 5*h + 5*h**3 - 2 + 10 = 0.
-1, 1, 2, 3
Let d be 6 + (-97)/7 + (0 - -9). What is z in -16/7 - 10/7*z**3 + d*z + 2/7*z**4 + 12/7*z**2 = 0?
-1, 2
Let j(n) = -12*n**4 + 129*n**3 - 45*n**2 - 3*n + 3. Let g(m) = -m**4 - m**3 - m**2 + m - 1. Let h(r) = 3*g(r) + j(r). Let h(c) = 0. Calculate c.
0, 2/5, 8
Let p(y) be the third derivative of -y**9/5292 + 2*y**7/735 - 47*y**3/6 + 7*y**2 + 2*y. Let g(k) be the first derivative of p(k). Let g(q) = 0. Calculate q.
-2, 0, 2
Suppose -5*u + 10 = h, 4*h - 25 + 10 = 5*u. Determine s, given that -27/4*s**h - 63/4*s**4 + 87/4*s**3 + 87/4*s**2 - 9 - 12*s = 0.
-3, -2/3, 1
Let v be 5 + -4 - (1 + -2). Let i be 56/12 + v + -4. Suppose 0 - 4*o**3 + i*o**4 - 2/3*o - 2/3*o**5 + 8/3*o**2 = 0. What is o?
0, 1
Suppose 3*d = 15, -4*j + 7*d - 2*d + 215 = 0. What is y in -4 - 51*y**2 - 20*y + 7*y**2 + 4 - j*y**4 + 8 + 116*y**3 = 0?
-2/5, 1/3, 1
Let p(s) = -176*s**3 + 94*s**2 + 78*s - 7. Let c(z) = 44*z**3 - 23*z**2 - 20*z + 2. Let l(t) = -22*c(t) - 6*p(t). Factor l(a).
2*(a - 1)*(4*a + 1)*(11*a + 1)
Let c(k) be the first derivative of 7/33*k**6 + 0*k**2 + 0*k**4 + 0*k - 3 + 0*k**3 - 4/55*k**5. Factor c(t).
2*t**4*(7*t - 2)/11
Let p(y) = -y**2 + 16*y - 12. Let o be p(15). Let r(z) be the first derivative of o*z**3 + 0*z**2 - 12*z + 3/4*z**4 - 4. Factor r(a).
3*(a - 1)*(a + 2)**2
Let v(g) be the third derivative of -g**9/7056 + g**8/2352 - g**7/5880 - g**6/2520 + 13*g**3/6 - 14*g**2. Let l(p) be the first derivative of v(p). Factor l(s).
-s**2*(s - 1)**2*(3*s + 1)/7
Let n = -329 + 7897/24. Let p(r) be the third derivative of -3/40*r**5 + 3*r**2 + n*r**4 + 0*r + 0 + 0*r**3. Factor p(z).
-z*(9*z - 2)/2
Determine g so that 4/5*g**4 + 1432/5*g**2 - 2448/5*g - 144/5*g**3 + 1156/5 = 0.
1, 17
Let f(m) = -m**2 + 9*m + 12. Let c be f(10). Let a(q) be the first derivative of -1 + 7/4*q**4 - 2/3*q**3 - 1/2*q**c + 0*q - 4/5*q**5. Let a(j) = 0. What is j?
-1/4, 0, 1
Let y(r) be the third derivative of -1/48*r**6 - 1/6*r**5 - 5/2*r**3 + 55*r**2 + 0*r + 55/48*r**4 + 0. Factor y(d).
-5*(d - 1)**2*(d + 6)/2
Let l(s) = 2*s**4 + s**3 + 2*s. Let r(i) = 15*i**4 + 27*i**3 - 12*i**2 + 15. Let x(y) = 9*l(y) - r(y). Factor x(g).
3*(g - 5)*(g - 1)**2*(g + 1)
Let x be -1 - (-1 + -1 + -1). Let w(i) = 4*i - 4. Let d be w(x). Factor y**3 + 2*y**3 + 3*y**d + 0*y**4.
3*y**3*(y + 1)
Let p = 121673/7 + -17381. Factor -2/7 + p*s - 6/7*s**3 + 2/7*s**2.
-2*(s - 1)*(s + 1)*(3*s - 1)/7
Let d(v) be the third derivative of 4*v**7/35 + 7*v**6/60 - 17*v**5/90 - v**4/36 + v**3/9 - 35*v**2. Let d(y) = 0. Calculate y.
-1, -1/4, 1/3
Let i(g) be the first derivative of g**4/7 - 50*g**3/21 + 12*g**2 - 72*g/7 - 9. Factor i(r).
2*(r - 6)**2*(2*r - 1)/7
Let r(z) = -6*z**3 + 17*z**2 + 23*z - 11. Let h(w) be the first derivative of -w**4/2 + 2*w**3 + 4*w**2 - 4*w + 2. Let m(o) = -11*h(o) + 4*r(o). Factor m(x).
-2*x*(x - 2)*(x + 1)
Let w be (3 - 78/28)*(-2)/(-6). Let s(g) be the second derivative of 0 + w*g**5 + 9*g + 2/7*g**2 - 1/21*g**4 - 5/21*g**3. Factor s(r).
2*(r - 1)*(r + 1)*(5*r - 2)/7
Let o(z) be the third derivative of z**7/1680 + z**6/320 + z**5/160 + z**4/192 + 62*z**2 + 2*z. Let o(q) = 0