12 - 5*j**4/8 - 95*j**2 - 2. Let x(s) = 0. What is s?
0, 3
Let l(f) be the third derivative of 0 - 13/8*f**4 - 2*f**2 - 3/4*f**5 - 1/70*f**7 - 4*f - 2*f**3 - 7/40*f**6. Suppose l(x) = 0. What is x?
-4, -1
Let a = -33 + 35. Let -8*l + 18*l**2 - 12*l**3 - 2*l**5 - 12*l**4 - 42*l**a - 14*l**3 = 0. What is l?
-2, -1, 0
Let l(t) = t**3 - 6*t**2 - 2*t - 29. Let s be l(7). Suppose -z - 22*z - 3*z**3 - 42*z**2 + 30 + 44*z - s*z**3 = 0. Calculate z.
-5, -2/3, 1
Let i(o) be the first derivative of 8*o**6 + 27/4*o**4 + 0*o**2 + 0*o + 12 - o**3 - 72/5*o**5. Let i(c) = 0. Calculate c.
0, 1/4, 1
Factor 34*x**2 + 6*x - 9 + 6*x - 4*x**2 + 9*x.
3*(x + 1)*(10*x - 3)
Let o(b) = 9*b**3 + 294*b**2 - 291*b. Let j(i) = 11*i**3 + 294*i**2 - 289*i. Let h(v) = 3*j(v) - 4*o(v). Determine r, given that h(r) = 0.
-99, 0, 1
Factor -138 - 2*m**3 - 157 + 2*m**2 + 277 + 18*m.
-2*(m - 3)*(m - 1)*(m + 3)
Let h be (-5*(-4 + 3))/1. Suppose h*v = 4*f + 4 + 7, 2*v - f = 5. Factor -4*t**2 - 10*t + t - 6*t + v*t.
-4*t*(t + 3)
Let z(t) = -t**3 - 14*t**2 - 29*t - 973. Let n be z(-16). Solve 0 - 8/13*g**2 + 24/13*g - 2/13*g**n = 0.
-6, 0, 2
Suppose -154*z**2 - 22*z**3 + 54*z**3 + 22*z**2 + 144*z - 16 = 0. What is z?
1/8, 2
Let c(n) be the third derivative of n**5/30 - 25*n**4/12 + 8*n**3 + 200*n**2. Factor c(m).
2*(m - 24)*(m - 1)
Let q(k) = -k**5 - k**4 + k**3 + k**2 - k + 1. Let z(w) = -7*w**5 - 15*w**4 - 21*w**3 + 243*w**2 + 192*w - 1992. Let v(u) = -40*q(u) + 5*z(u). Factor v(h).
5*(h - 5)**3*(h + 4)**2
Let d(a) be the first derivative of -21*a**4 - 141*a**3 - 183*a**2 - 72*a - 91. Factor d(x).
-3*(x + 4)*(4*x + 3)*(7*x + 2)
Let p = 4385 + -4385. Suppose 0 + 0*l - 2/5*l**3 + p*l**2 = 0. What is l?
0
Let i = 19415 + -19411. Suppose 0 + 2/11*w**i - 6/11*w**2 + 0*w - 4/11*w**3 = 0. What is w?
-1, 0, 3
Let n(w) = -w**3 - 11*w**2 + 11*w + 24. Let c be n(-12). Let 0*k**3 - 16*k**3 - 52*k**4 + 171*k - c*k**5 - 171*k = 0. What is k?
-1, -4/9, 0
Let s(a) = -6*a**2 + 10*a. Let v = 1 - 2. Let z(w) = -37*w**2 + 20*w**2 - 5*w + 18*w**2 + 4*w. Let x(j) = v*s(j) - 8*z(j). Suppose x(l) = 0. Calculate l.
-1, 0
Let q(g) be the third derivative of -g**6/780 + g**5/10 - 30*g**4/13 - 400*g**3/39 - 253*g**2. Factor q(b).
-2*(b - 20)**2*(b + 1)/13
Let o(z) be the second derivative of z**7/168 + 7*z**6/120 - 3*z**5/40 - 25*z**4/24 - 59*z**3/24 - 21*z**2/8 + 170*z. Find r such that o(r) = 0.
-7, -1, 3
Suppose 75*y = 62*y + 39. Determine r, given that 0 + 9/4*r**y + 0*r**2 - 3*r - 3/4*r**4 = 0.
-1, 0, 2
Factor -14*z**2 - 72*z**3 + 52*z**3 + 15 + 1 - 14*z**2 + 32*z.
-4*(z - 1)*(z + 2)*(5*z + 2)
Suppose -5*x + 24 = -4*r + 9, 3*x = 4*r + 9. Suppose 14 = h + 4*f, -5*h = -2*h - x*f + 3. Factor -v - v**3 - 2*v + 2 - 1 + 4*v - v**h.
-(v - 1)*(v + 1)**2
Suppose t + 5*x + 6 - 28 = 0, 0 = -t - 3*x + 18. Let s = 18 + -15. Factor s*g + g**3 + t*g**2 + 2*g**3 + 15*g**3 + 0*g**3 + 12*g**4 + 3*g**5.
3*g*(g + 1)**4
Let j(m) be the third derivative of m**7/630 + 2*m**6/45 + 8*m**5/15 - 13*m**4/24 - m**2. Let l(u) be the second derivative of j(u). Factor l(d).
4*(d + 4)**2
Let l(c) = c**3 - 8*c**2 + 7*c + 4. Let o be l(7). Suppose -3*w - 9 = -3*m, -o*w - 9 = m - w. Factor -9*k - 2 - 3*k**2 + 14 + m*k.
-3*(k - 1)*(k + 4)
Let 2/3*b**2 - 88/15*b - 8 = 0. What is b?
-6/5, 10
Let p be (-576)/(-840) - (-10)/(-35). Find l such that p*l**3 + 0 - 6/5*l**2 + 4/5*l = 0.
0, 1, 2
Let o(k) be the third derivative of k**7/630 + 7*k**6/360 - 17*k**5/180 + k**4/8 - 720*k**2. Find l, given that o(l) = 0.
-9, 0, 1
Let l = -870/11 + 73939/935. Let p = l - -767/170. Factor 27/2 - 27/2*s + p*s**2 - 1/2*s**3.
-(s - 3)**3/2
Suppose -78 = -2*h + 5*a, 5*h + 6*a - 180 = 11*a. Suppose -h*j = -39*j + 10. Factor -6/5*l**j - 8/5 - 16/5*l.
-2*(l + 2)*(3*l + 2)/5
Factor -19*u**2 - u**2 + 20*u + 10*u**3 + 12*u**2 - 38*u**2 + 16.
2*(u - 4)*(u - 1)*(5*u + 2)
Let f(c) = -2*c**2 + 100*c + 1252. Let s(t) = 2*t**2 - 1. Let z(j) = -f(j) - 2*s(j). Factor z(u).
-2*(u + 25)**2
Let y(c) be the first derivative of -c**3/4 + 27*c**2/8 + 215. Factor y(n).
-3*n*(n - 9)/4
What is u in 212/9*u**2 + 0 + 0*u + 4/9*u**3 = 0?
-53, 0
Let w be -6*((-8)/6 + (-45)/(-54)). Suppose 7 + 6 - 4*v**3 - 2*v**w - 1 + 28*v**2 - 34*v = 0. What is v?
2/3, 1, 3
Let d be 125/10 + (3 - 0) + -3. Let v = 53/4 - d. Determine k, given that -3/8*k**2 + v*k + 0 = 0.
0, 2
Let k(l) be the first derivative of 24 - 1/9*l**3 - 100/3*l + 10/3*l**2. Factor k(a).
-(a - 10)**2/3
Let a(i) be the second derivative of i**6/75 - 3*i**5/50 - 19*i**4/30 + i**3/5 + 18*i**2/5 - 9*i + 7. Determine x so that a(x) = 0.
-3, -1, 1, 6
Determine z so that 6/7*z**3 - 10/7*z**4 + 10/7*z**2 - 8/7*z + 0 + 2/7*z**5 = 0.
-1, 0, 1, 4
Let k(m) = -3*m**3 - 14*m**2 - 48*m - 62. Let h(v) = -4*v**3 - 15*v**2 - 48*v - 61. Let o(i) = -2*h(i) + 3*k(i). Factor o(y).
-(y + 4)**3
Let o(q) = 12*q + 24. Let v be o(-2). Let g(r) be the second derivative of -9*r**2 + r**3 + 1/10*r**5 + v - 5*r + 5/6*r**4. Factor g(i).
2*(i - 1)*(i + 3)**2
Factor -590*i - 17216 - 5*i**2 + 2631 - 2820.
-5*(i + 59)**2
Suppose -5*j + 30 - 20 = 0. Factor -8 + 9*b**j + 37*b + 4 - 21*b.
(b + 2)*(9*b - 2)
Let h = -15493 - -15493. Factor -4/7*z + h*z**3 + 4/7*z**5 - 8/7*z**2 + 0 + 8/7*z**4.
4*z*(z - 1)*(z + 1)**3/7
Let y = 28063 + -168373/6. Suppose -2/3*q**3 - y*q**2 + 0 - 1/6*q = 0. What is q?
-1, -1/4, 0
Suppose 4*t - 3*a + 5*a = -6, 3*a - 19 = t. Let m be -1 - -2*(-6)/t. Solve -2*g + g - m*g**2 + 4 - g = 0.
-2, 1
Let i = -1 + 25. Let p = -22 + i. Factor 8/9*s - 8/9*s**3 - 8/9 + 2/9*s**4 + 2/3*s**p.
2*(s - 2)**2*(s - 1)*(s + 1)/9
Let n = 0 - -5. Suppose 4*u + 12 = h, -7 - 7 = -n*h - 3*u. Factor 12*l**3 + 4*l - 4 + h*l**4 - 20*l + 4.
4*l*(l - 1)*(l + 2)**2
Solve -2/7*m**2 - 6/7 + 8/7*m = 0.
1, 3
Let c = 6119/4 - 1529. Solve 75/4 + 15/2*s + c*s**2 = 0.
-5
Let r(h) be the second derivative of 0*h**2 + 2*h**5 + 0 + 35/12*h**4 + 1/2*h**6 + 5/3*h**3 + 28*h. Determine c so that r(c) = 0.
-1, -2/3, 0
Let k(t) be the first derivative of -2*t**3/27 + 16*t**2/3 - 94*t/9 - 94. Let k(d) = 0. What is d?
1, 47
Let j(m) be the second derivative of -m**4/6 + m**3/3 + 20*m**2 - 4*m + 2. Suppose j(t) = 0. Calculate t.
-4, 5
Solve 4*d**2 - 6*d**2 - 172 - 16*d + 140 = 0.
-4
Suppose -32 = -6*d + 4*d. Suppose d*b - 48 = -0*b. Find q such that -2/7*q - 38/7*q**b + 30/7*q**2 + 2*q**4 - 4/7 = 0.
-2/7, 1
Let w = 48 - 32. Factor 10 - w + 8*q - 18 + 20*q - 4*q**3.
-4*(q - 2)*(q - 1)*(q + 3)
Determine d so that 185*d + 7 - 41 - 36 + 13*d**2 - 120 - 8*d**2 = 0.
-38, 1
Let y = 7 - -3. Let n be 288/(-120)*y/(-9). Let 2/3*p**3 + 0 + 2*p - n*p**2 = 0. What is p?
0, 1, 3
Let w(m) be the first derivative of m**7/1960 - m**5/280 - 14*m**3/3 + 2. Let f(l) be the third derivative of w(l). Factor f(z).
3*z*(z - 1)*(z + 1)/7
Let x(c) = 84*c**5 - 75*c**4 - 6*c**3 + 3*c**2. Let j(o) = 169*o**5 - 150*o**4 - 12*o**3 + 7*o**2. Let r(y) = -3*j(y) + 7*x(y). Let r(p) = 0. What is p?
-2/27, 0, 1
Solve -14/9*l**2 + 0 + 20/3*l - 2/9*l**3 = 0 for l.
-10, 0, 3
Let x = 119 + -163. Let f be x + 46 - (-2)/6. Solve -2/3 - 3*j - f*j**2 = 0.
-1, -2/7
Suppose -16*w + 13*w = -15. Suppose -13 = -5*x - o, 2*x + 5*o - w = 7*x. Factor 0 + 3/4*y**x + 3/4*y**3 + 1/4*y**4 + 1/4*y.
y*(y + 1)**3/4
Let k(c) be the third derivative of c**6/360 - c**5/60 - c**4/8 + c**3/3 - 4*c**2. Let u(w) be the first derivative of k(w). Factor u(j).
(j - 3)*(j + 1)
Let z(y) = -4*y**5 + 8*y**4 + 2*y**2. Let b(a) = -2*a**5 + 7*a**4 + a**3 + 3*a**2. Let u(f) = -4*b(f) + 6*z(f). Factor u(x).
-4*x**3*(x - 1)*(4*x - 1)
Factor -3/5*u**2 + 12/5*u + 36/5.
-3*(u - 6)*(u + 2)/5
Factor 2/3*j**2 + 2/15*j**3 + 4/15*j - 16/15.
2*(j - 1)*(j + 2)*(j + 4)/15
Let i = -10806/7 - -1544. Find r, given that 0 + i*r**3 - 4/7*r**2 + 2/7*r = 0.
0, 1
Let v(j) = 12*j**2 + 20*j + 48. Let i(o) = 5*o**2 + 10*o + 24. Let m(y) = 14*i(y) - 6*v(y). Factor m(c).
-2*(c - 12)*(c + 2)
Find t, given that 28*t**2 + 4*t + 5*t - 2*t + 11*t**2 + 36*t**3 - t - 81*t**4 = 0.
-1/3, -2/9, 0, 1
Suppose -3*o = 2*g + o - 82, g - 43 = -3*o. Factor 356*x**2 + 213*x - 48*x**3 + 27 + 15*x**2 + g*x**2.
-3*(x - 9)*(4*x + 1)**2
Let 0 + 24/17*a - 2/17*a**2 = 0. What is a?
0, 12
Let b be ((-6)/15)/(1 + 8/(-5) + -2). Factor b*q**2 - 8/13 - 2/13*q**3 + 8/13*q.
-2*(q - 2)*(q - 1)*(q + 2)/13
Let b be 1950/5525 + 20/(