t**2/7 - 80*t/7 + 229. Solve u(q) = 0 for q.
1, 40
Suppose 9*w + 2*w - 7*w = 0. Let v(f) be the first derivative of -1/16*f**4 + 0*f**2 + 4 + 0*f - 1/20*f**5 + w*f**3. Factor v(i).
-i**3*(i + 1)/4
Let f = 5 - -3. Suppose -r + 2 = f. Let p(b) = 5*b**2 + b + 5. Let g(m) = 21*m**2 + 3*m + 21. Let v(t) = r*g(t) + 26*p(t). Factor v(n).
4*(n + 1)**2
Let j(l) be the second derivative of -1/40*l**5 - 2*l**2 + 1/3*l**3 + 0 - 8*l + 1/12*l**4. Factor j(v).
-(v - 2)**2*(v + 2)/2
Let g(s) be the second derivative of s**4/60 - s**3/6 - 7*s**2/5 + 26*s - 2. Solve g(c) = 0 for c.
-2, 7
Suppose -2*t = 5*y - y - 10, 0 = -t - 5. Suppose -y*g + 50 = 5*g. Let g*f**2 - 2/3 - 7/3*f = 0. Calculate f.
-1/5, 2/3
Suppose 16 = -2*b - 4*l, 3*b - 2 + 6 = -2*l. Factor 3*w**b + 2*w**3 - 2*w - 5/2 - 1/2*w**4.
-(w - 5)*(w - 1)*(w + 1)**2/2
Solve -3/4*n**4 - 21/4*n**3 + 0 - 6*n - 21/2*n**2 = 0 for n.
-4, -2, -1, 0
Factor 3/4*z**2 + 99/4*z - 105/2.
3*(z - 2)*(z + 35)/4
Factor 0 + 1/3*n**4 + 1/3*n**3 - 3*n - 3*n**2.
n*(n - 3)*(n + 1)*(n + 3)/3
Factor 32/9*j**2 - 4/9*j**3 - 32/9 + 4/9*j.
-4*(j - 8)*(j - 1)*(j + 1)/9
Factor -299*y**2 - 21 + 300*y**2 + 16*y - 15.
(y - 2)*(y + 18)
Let b(g) be the third derivative of g**9/5040 - g**8/1344 + g**7/1680 - g**5/5 + 8*g**2. Let x(m) be the third derivative of b(m). Factor x(z).
3*z*(z - 1)*(4*z - 1)
Factor -735 - 390 + 505*o - 245*o**2 - 385*o + 930*o.
-5*(7*o - 15)**2
Let j(x) = -3*x**4 - x**3 + 6*x**2 + 3*x - 5. Let n(c) = 4*c**4 - 6*c**2 - 4*c + 6. Let b(d) = -6*j(d) - 5*n(d). Factor b(r).
-2*r*(r - 1)**3
Let x(m) be the first derivative of -m**4/4 - m**3/3 + 5*m**2/2 - 3*m - 68. Let x(n) = 0. What is n?
-3, 1
Suppose 0 = -v - 5*n + 13, -2*v - 2*n + 0 = -10. Find y, given that 49*y**3 - 85*y**v - 12*y**2 + 50*y**3 - 2*y**5 = 0.
-3, 0, 1, 2
Solve 23*m + 53*m + 51*m - 2*m**2 - 1458 - 19*m = 0 for m.
27
Let r be 5 + 2/(3 + 0 - 1). Let c be (-143)/(-39) - 4/r. What is f in -8/3*f - 8/3*f**c + 2/3 + 2/3*f**4 + 4*f**2 = 0?
1
Let d(v) be the first derivative of 1/78*v**4 - 2/13*v**2 + 9*v + 6 + 1/39*v**3. Let l(z) be the first derivative of d(z). Factor l(n).
2*(n - 1)*(n + 2)/13
Let w(p) be the second derivative of 0*p**3 - 16/15*p**6 + 2/21*p**7 + 0 - 10*p + 0*p**2 + 17/5*p**5 - 10/3*p**4. Factor w(v).
4*v**2*(v - 5)*(v - 2)*(v - 1)
Let z(o) be the second derivative of -1/20*o**5 - 12*o + 1/126*o**7 - 1/36*o**4 + 1/9*o**3 + 1/90*o**6 + 0*o**2 + 0. Factor z(n).
n*(n - 1)**2*(n + 1)*(n + 2)/3
Let s = -28780/97 - -33128855/111744. Let t = -1/128 - s. Factor 2*m**2 - 16/3*m - t*m**3 + 32/9.
-2*(m - 4)**2*(m - 1)/9
Suppose 2*k - 3 = 3*z, -7*z = -4*k - 6*z + 21. Let q = k + -21/4. Determine t so that -q*t**2 - 1/4*t**3 + 0 + 0*t = 0.
-3, 0
Suppose 3*v + 9 = 2*v. Let k be 7/((-21)/v) - -2. Let -o**3 + 3*o**3 + 4*o**3 - 3*o + 49*o**k - 52*o**5 = 0. What is o?
-1, 0, 1
Let d(w) be the second derivative of w**8/3360 - w**7/840 + w**6/720 - w**3/2 + 14*w. Let t(q) be the second derivative of d(q). Factor t(b).
b**2*(b - 1)**2/2
Let w = 411 - 407. Let b(s) be the second derivative of -1/6*s**3 + w*s + 1/2*s**2 + 0 + 1/48*s**4. Solve b(r) = 0.
2
Suppose -2*h + 24 - 8 = 0. Let y(v) be the first derivative of 0*v**2 - 4/5*v**5 + 1/3*v**3 + 0*v - h - 3/4*v**4. Factor y(w).
-w**2*(w + 1)*(4*w - 1)
Let v = 46 - 59. Let f = v + 13. Determine h, given that 1/3*h + 2/3*h**2 + 4/3*h**4 + f - 7/3*h**3 = 0.
-1/4, 0, 1
Let z = 22 + -11. Let g = 10 + -3. Factor -2*k - g*k - z + 3*k**2 + 17.
3*(k - 2)*(k - 1)
Let n(z) be the second derivative of 0*z**4 + 0*z**2 - 1/40*z**5 + 8*z - 2 + 1/12*z**3. Let n(w) = 0. What is w?
-1, 0, 1
Let k(l) be the second derivative of 3 + 8/3*l**3 - 7*l**5 + 46/15*l**6 + 17/3*l**4 - 8*l**2 - 10/21*l**7 - l. Solve k(z) = 0 for z.
-2/5, 1, 2
Let q(u) = -17*u**3 + 456*u**2 - 15872*u - 16371. Let f(n) = 8*n**3 - 230*n**2 + 7936*n + 8186. Let t(o) = 13*f(o) + 6*q(o). Suppose t(w) = 0. What is w?
-1, 64
Let v = -34 + 39. Suppose 3*o = -v*s - 9, 3*s = -o - 2*s - 13. Find a, given that -a**2 + 5*a**2 + a**o - 5 = 0.
-1, 1
Let p = 14840/3 - 4942. Factor 2/3*h**3 + p*h + 2 + 10/3*h**2.
2*(h + 1)**2*(h + 3)/3
Let o = -212 - -212. Let d(a) be the second derivative of -a**3 + 3/10*a**5 + o - 3/2*a**2 - 4*a + 0*a**4 + 1/10*a**6. Factor d(n).
3*(n - 1)*(n + 1)**3
Let y(l) = l**2 - 14*l + 34. Let m be y(15). Solve 30 + 144*d**2 - 175*d + 15*d**4 + 70*d**3 + 61*d**2 - 6*d**4 - m*d**4 = 0.
-2, 1/4, 1/2, 3
Let w be (-20)/(-4) - 354/72. Let i(j) be the first derivative of -1/6*j**2 + 4 + 2/9*j**3 + 0*j - w*j**4. Suppose i(d) = 0. Calculate d.
0, 1
Let l be (-7 - 28/(-7))*(-12)/45. Suppose 0*i - 2/5*i**2 + 0 - l*i**3 - 2/5*i**4 = 0. Calculate i.
-1, 0
Let j(z) be the first derivative of -z**5/40 + z**4/32 + 7*z**3/24 - z**2/16 - 3*z/4 - 108. Find d such that j(d) = 0.
-2, -1, 1, 3
Let j(g) be the first derivative of 4*g**3/3 - 2*g**2 - 69. Determine i, given that j(i) = 0.
0, 1
Let s(z) be the third derivative of -3*z**7/70 - 7*z**6/40 - z**5/4 - z**4/8 - z**2 + 89*z. Find g such that s(g) = 0.
-1, -1/3, 0
Let r(v) = v**2 - 8*v + 11. Let u be r(7). Determine k, given that -61*k**2 - 16*k**4 - 110*k**3 - 20*k**4 - u*k**5 + 14*k**3 - 3*k**2 = 0.
-4, -1, 0
Factor 3/2*s**2 - 3/2*s**4 - 6*s + 6*s**3 + 0.
-3*s*(s - 4)*(s - 1)*(s + 1)/2
Let t(u) be the first derivative of u**8/2352 + u**7/735 - 13*u**2/2 + 11. Let p(m) be the second derivative of t(m). Factor p(r).
r**4*(r + 2)/7
Let c be ((-2)/(-3))/(49/44478*-2). Let y = 304 + c. What is i in 4/7*i**2 + 0 - 18/7*i**3 - y*i**5 + 0*i + 24/7*i**4 = 0?
0, 2/5, 1
Let p(w) be the first derivative of w**4/26 - 4*w**3/39 - 5*w**2/13 + 12*w/13 + 110. Factor p(y).
2*(y - 3)*(y - 1)*(y + 2)/13
Let o be ((-6)/3)/((-8)/(16/15)). Let v = o + 7/30. Find h, given that v*h**3 - 3/2*h + 0*h**2 + 1 = 0.
-2, 1
Factor -74*p**3 + p**4 + 6*p**3 - 224*p + 52*p - 56 + 2*p**4 - 7*p**4 - 180*p**2.
-4*(p + 1)**3*(p + 14)
Let c(z) be the first derivative of 0*z - 1/120*z**5 + 3/2*z**2 - 5 + 1/48*z**4 + 0*z**3. Let g(l) be the second derivative of c(l). Factor g(v).
-v*(v - 1)/2
Let s(x) = -16*x**3 + 285*x**2 + 779*x + 310. Let z(l) = 40*l**3 - 712*l**2 - 1948*l - 776. Let c(o) = -12*s(o) - 5*z(o). Find d such that c(d) = 0.
-2, -1/2, 20
Let p(i) be the first derivative of i + 14. Let l(y) = 2*y**2 + 4*y + 4. Let u(a) = l(a) - 4*p(a). What is b in u(b) = 0?
-2, 0
Let w(g) be the first derivative of -5*g**7/63 - 2*g**6/45 - 2*g - 5. Let o(k) be the first derivative of w(k). Solve o(s) = 0.
-2/5, 0
Solve -1/5*t**2 - 49729/5 + 446/5*t = 0 for t.
223
Let t(z) be the second derivative of z**6/10 + 3*z**5/5 + 5*z**4/4 + z**3 + z - 26. Let t(o) = 0. Calculate o.
-2, -1, 0
Let a(t) be the first derivative of -2*t**5/25 + 2*t**3/15 + 171. Suppose a(v) = 0. What is v?
-1, 0, 1
Let i(s) be the third derivative of -1/45*s**4 + 0*s - 1/225*s**6 + 10*s**2 + 0 - 1/45*s**3 - 1/1575*s**7 - 1/75*s**5. Factor i(g).
-2*(g + 1)**4/15
Let w = -11 - -13. Suppose w*u = 49 - 3. Find x such that 2*x**2 - u - x**3 + 23 = 0.
0, 2
Let k(l) = -17*l**2 - 196*l - 95. Let z be k(-11). Factor 5/3*f**3 + 1/3*f**z + 7/3*f**2 + f + 0.
f*(f + 1)**2*(f + 3)/3
Let k(q) = 3*q**2 - 200*q + 9799. Let b(j) = -10*j**2 + 601*j - 29396. Let f(u) = 2*b(u) + 7*k(u). Determine d, given that f(d) = 0.
99
Let g(o) be the second derivative of -o**4/48 - 5*o**3/3 - 50*o**2 - 113*o. Determine b so that g(b) = 0.
-20
Let f(z) be the first derivative of 162/5*z + 36/5*z**3 - 11 + 2/25*z**5 + 108/5*z**2 + 6/5*z**4. Find k, given that f(k) = 0.
-3
Find h such that 84 + 9*h - 44*h + 66 - 5*h**2 + 0*h**2 = 0.
-10, 3
Let c(y) be the second derivative of -y**6/90 - 4*y**5/15 - 47*y**4/18 - 40*y**3/3 - 75*y**2/2 + 185*y. Factor c(s).
-(s + 3)**2*(s + 5)**2/3
Let z(i) = i**2 - i + 1. Let q(r) = -3*r**2 + 14*r + 21. Let v(t) = 3*q(t) + 12*z(t). Factor v(l).
3*(l + 5)**2
Let g(k) be the third derivative of -k**8/33600 - k**7/6300 + k**4/24 + 18*k**2. Let n(l) be the second derivative of g(l). Determine w so that n(w) = 0.
-2, 0
Find j such that 4/3*j**2 + 2/3*j**3 + 0*j + 0 = 0.
-2, 0
Determine m so that 30 + 65*m + 95/2*m**2 + 55/4*m**3 + 5/4*m**4 = 0.
-6, -2, -1
Suppose -5*v = -7*v + 54. Determine a, given that 14*a**4 - 4*a**5 - v*a**4 - 4*a**3 + 5*a**4 = 0.
-1, 0
Factor 106*t**2 + 168*t - 26*t**2 - 