- 5*y**2 + 20 + 0*y + 55/9*y**3 + 5*y**4. What is z in a(z) = 0?
-1, 0, 2/5, 3
Let j(h) = -h**3 + h. Let g = -44 - -43. Let p(a) = 5*a**4 + a**3 + 4*a. Let x(q) = g*p(q) + 4*j(q). Factor x(o).
-5*o**3*(o + 1)
Let l(i) be the third derivative of -i**7/70 - 101*i**6/10 - 30603*i**5/10 - 1030301*i**4/2 - 104060401*i**3/2 + 101*i**2 - 1. Factor l(b).
-3*(b + 101)**4
Find x, given that 12/5*x + 2/15*x**2 + 64/15 = 0.
-16, -2
Let v(y) be the first derivative of -5/3*y**3 + 8 + 0*y + 5/2*y**2. Let v(c) = 0. What is c?
0, 1
Let v = 4141 - 4136. Solve 2/7*n**4 - 2/7*n**3 + 0 + 0*n - 2/7*n**2 + 2/7*n**v = 0.
-1, 0, 1
Let q(p) = p**3 - 3 - 4*p**2 + 5*p**2 - 9*p + 1 - 4*p**2. Let t be q(5). Factor -3*a - t - 3/4*a**2.
-3*(a + 2)**2/4
Find n, given that 15*n**2 - 22*n**2 + 13*n**2 + 11*n**3 = 0.
-6/11, 0
Let z(a) = -a**3 - 4*a**2 + a + 4. Let x be z(-4). Let l be (-1)/2*(69/6)/(-23). Factor -l*y**2 + x*y + 1/4.
-(y - 1)*(y + 1)/4
Let o(t) = t**2 - 6*t - 7. Let w(n) = 5*n**2 - 25*n - 25. Let b(f) = 15*o(f) - 4*w(f). Find k such that b(k) = 0.
1
Let 35*y - 20*y**3 + 53*y**4 - 79*y**4 - 2*y**5 - 110*y + 122*y**2 - 6*y**5 + 7*y**5 = 0. What is y?
-25, -3, 0, 1
Let s(m) be the third derivative of -7*m**2 + 0*m + 1/180*m**5 + 0 + 1/36*m**3 - 1/360*m**6 - 1/2016*m**8 - 1/420*m**7 + 1/48*m**4. Let s(n) = 0. Calculate n.
-1, 1
Let b(x) = 3*x**3 - x**2 + 1. Suppose q + 1 = -2*k, 0 = q - 3*k - 4. Let j be b(q). What is m in -1 - 2*m + j + 0 - 4*m**2 = 0?
-1, 1/2
Suppose -m - 1169 = -3*s - 5*m, 0 = -4*m + 8. Factor -2*u - 3*u**2 + s - 345 - 10*u - 3*u.
-3*(u - 2)*(u + 7)
Let p(b) be the second derivative of b**4/12 - 5*b**3/6 - 3*b**2 - b + 19. Find d such that p(d) = 0.
-1, 6
Suppose -7 = 2*u - 7*u + k, -9 = -3*k. Let o(q) = q**2 - q + 1. Let x be o(u). Factor -19*b - 6*b**2 + 4*b**4 + 23*b + 2*b**4 - 4*b**x.
2*b*(b - 1)*(b + 1)*(3*b - 2)
Find h, given that 123*h + 81/2 + 9/2*h**2 = 0.
-27, -1/3
Let q(a) be the second derivative of -a**4/20 + a**3/30 + 153*a. Factor q(r).
-r*(3*r - 1)/5
Let t(z) be the first derivative of 1/14*z**4 - 2/7*z**3 + 16/7*z + 38 - 6/7*z**2. Find h, given that t(h) = 0.
-2, 1, 4
Let a(v) be the second derivative of 6*v - 1/6*v**3 + 0 - 1/12*v**4 + v**2. Factor a(m).
-(m - 1)*(m + 2)
Let i(c) = c**2 - 2*c + 1. Let j be i(3). Suppose -2*v - 5 = 5*q - 5*v, 0 = q + j*v - 22. Solve -a**q + 14*a - 14*a = 0 for a.
0
Let m(u) = u**3 - 43*u**2 + 19*u - 813. Let t be m(43). Determine l so that 0 + 2/17*l**t + 2/17*l**3 - 2/17*l - 2/17*l**2 = 0.
-1, 0, 1
Let t = 8 - 6. Factor -4*o**t + o**2 - o + 31*o - 6*o.
-3*o*(o - 8)
Let z(l) be the third derivative of -l**6/180 + 2*l**5/45 - l**4/12 + 296*l**2. Factor z(n).
-2*n*(n - 3)*(n - 1)/3
Let v(o) = o**2 - 20*o + 53. Let z be v(17). Factor 12*q + 0*q + 37*q**z - 34*q**2.
3*q*(q + 4)
Let g(r) = -44*r - 67. Let b be g(-5). Let z = 155 - b. Factor -4/5*l**z - 2/5 + l + 1/5*l**3.
(l - 2)*(l - 1)**2/5
Find q, given that -8/15*q**4 - 2/3*q + 8/15*q**3 + 4/15*q**2 + 2/15*q**5 + 4/15 = 0.
-1, 1, 2
Let r(p) = -p**3 + 8*p**2 - 18*p + 38. Let m be r(6). Factor 3/8*d**3 - 3/4*d + 0 + 3/8*d**m.
3*d*(d - 1)*(d + 2)/8
Let j(l) be the first derivative of -l**5/210 - 2*l**4/63 - 4*l**3/63 - 9*l - 8. Let h(i) be the first derivative of j(i). Determine w so that h(w) = 0.
-2, 0
Let f be 1*(2 - 0)*3. Suppose -4*l + 6 = -f. Factor 0*d**l - d**3 - 2*d**2 + d**5 + d - d**3 + d**4 + 1 + 0*d**3.
(d - 1)**2*(d + 1)**3
Let x(n) be the first derivative of 1/18*n**3 - 1/3*n**2 - 1/60*n**5 + 1/18*n**4 - n - 8. Let y(z) be the first derivative of x(z). Let y(f) = 0. What is f?
-1, 1, 2
Let z(q) be the second derivative of -q**7/252 - q**6/90 + 3*q**5/20 - 4*q**4/9 + 23*q**3/36 - q**2/2 + 3*q + 2. Factor z(f).
-(f - 1)**4*(f + 6)/6
Let a(i) = i**2 + i. Let k be (-54)/(-12) - (-2)/4. Let q(z) = -3*z**4 - 9*z**3 - z**2 + 5*z. Let l(s) = k*a(s) - q(s). Factor l(j).
3*j**2*(j + 1)*(j + 2)
Let l be (-3)/12 + 0 + 1. Let z be (18 + -18)*(-1)/2. Factor 0*g**3 + z*g + 3/2*g**2 - 3/4 - l*g**4.
-3*(g - 1)**2*(g + 1)**2/4
Let b(w) = 4*w**2 - 4*w - 2. Suppose r - 7 = -3*s + 4, -3*r + 11 = -2*s. Let q(z) = -3*z**2 + 3*z + 1. Let t(l) = r*b(l) + 6*q(l). Factor t(h).
2*(h - 2)*(h + 1)
Let s(i) be the second derivative of i**4/84 + 151*i**3/21 + 22801*i**2/14 - 632*i. Factor s(y).
(y + 151)**2/7
Let x = 473/10 + -234/5. Determine l, given that x*l - 1/6*l**3 + 0 + 1/3*l**2 = 0.
-1, 0, 3
Let q(p) be the second derivative of -2*p**7/21 + 3*p**5/5 - 2*p**4/3 + 4*p - 1. Solve q(w) = 0 for w.
-2, 0, 1
Let f = 640 - 1305/2. Let x = f - -14. Solve 0 - 3/4*n**5 + 0*n**3 + x*n**4 + 3/4*n - 3/2*n**2 = 0 for n.
-1, 0, 1
Let v(t) = -11*t**2 - t + 1. Let i(y) = -128*y**2 - 24*y - 28. Let u(w) = i(w) - 12*v(w). Find c such that u(c) = 0.
-2, 5
Solve -16/5 - 3436/5*j**3 - 588*j**4 - 288/5*j - 1668/5*j**2 - 180*j**5 = 0.
-1, -2/15
Suppose 0 = -5*u - 16 + 41. Determine t, given that 5 - 3*t**5 + 18*t**u - 35*t**4 + 10*t**3 - 8*t + 30*t**2 - 17*t = 0.
-1, 1/3, 1
Let t = 23 + -15. Suppose t*c + 5 = 3*c, c - 23 = -4*i. Find v, given that -i*v - 8*v**4 - 30*v**2 + 15 - 8*v - 17 - 26*v**3 = 0.
-1, -1/4
Suppose 45*j - 88 - 137 = 0. Suppose -j*o + 0 - 5/2*o**2 = 0. Calculate o.
-2, 0
Suppose 0 = -29*r - 0*r - 16*r. Let 16/3*f**2 + 2/3*f**3 + r + 32/3*f = 0. Calculate f.
-4, 0
Let a be -10*(-3)/(9/(-3)). Let p = a + 34/3. Find i, given that 2/3*i**3 + 2/3*i + 0 + p*i**2 = 0.
-1, 0
Let r be -3 + 1/((-4 + 7)/63). Determine s so that -21*s - 9*s**3 + 6 + 42*s**2 - 39*s + r = 0.
2/3, 2
Let i(x) be the second derivative of -x**6/720 - x**5/80 - x**4/24 - 5*x**3/6 + 6*x. Let p(s) be the second derivative of i(s). Find l such that p(l) = 0.
-2, -1
Let o(d) be the first derivative of -d**4/9 - 8*d**3/9 - 32*d + 18. Let a(c) be the first derivative of o(c). Find i such that a(i) = 0.
-4, 0
Let z(p) = -p**2 + 10*p + 4. Let m be z(12). Let l = m - -22. Factor -2*s - 2*s**2 + 6*s**l - 3*s**2 + s**2.
2*s*(s - 1)
Suppose -15*b + 50*b - 210 = 0. Let c(j) be the first derivative of -1/2*j**4 + 0*j**2 + 0*j**3 + 4/3*j**b + 0*j + 4 + 6/5*j**5. Factor c(x).
2*x**3*(x + 1)*(4*x - 1)
Let i(d) be the first derivative of -2*d**3/15 - 2*d**2 - 18*d/5 - 58. What is c in i(c) = 0?
-9, -1
Let p be ((-7)/5)/(69/345) - -7. Suppose 1/8*w**2 - 1/8 + p*w = 0. Calculate w.
-1, 1
Suppose -5*l - 3*n = 0, -35*l = -39*l + 3*n + 27. Factor -3/2*h**2 - 9/2*h - l.
-3*(h + 1)*(h + 2)/2
Suppose 0*y - 2*y + 12 = 0. Factor 3*m**2 + 38*m + 6*m**3 + y - 27*m - 26*m.
3*(m - 1)*(m + 2)*(2*m - 1)
Let l(u) = -29*u**3 + 11*u**2 + 9. Let w(s) = -3*s**2 - 2 + 31*s**3 - 24*s**3 - 5*s + 5*s. Let h(p) = 2*l(p) + 9*w(p). Suppose h(o) = 0. Calculate o.
0, 1
Let y be (0 - 3)/(-1) + (-90 - -89). Let x(m) be the third derivative of -y*m**2 + 0*m**5 + 1/8*m**4 + 0 - 1/40*m**6 + 0*m + 0*m**3. Factor x(h).
-3*h*(h - 1)*(h + 1)
Let x be (3/2)/((-3)/(-6)). Let q be -8*(7 - x)/(-16). Factor 0*a + 0 + 2/5*a**3 + 2/5*a**q.
2*a**2*(a + 1)/5
Find c, given that 0 + 22*c - 2/3*c**2 = 0.
0, 33
Factor -133*a + 4*a**2 - 137*a - 125*a + 20 - 138*a + 557*a.
4*(a + 1)*(a + 5)
Let u(d) be the third derivative of -d**8/1680 + 2*d**7/525 + 13*d**6/600 - d**5/75 - d**4/10 + 174*d**2. Determine v so that u(v) = 0.
-2, -1, 0, 1, 6
Factor -2/3*v**4 - 8*v**2 - 16/3*v - 4*v**3 + 0.
-2*v*(v + 2)**3/3
Factor -9*f + 45/4*f**2 - 1/4*f**4 - 2*f**3 + 0.
-f*(f - 3)*(f - 1)*(f + 12)/4
Let m(q) = -7*q**2 - 12*q + 22. Let k(o) = -o**2 + o - 1. Let u(h) = 2*h - 2. Let p(y) = -k(y) + u(y). Let t(f) = -m(f) + 3*p(f). Factor t(b).
5*(b - 1)*(2*b + 5)
Let i(a) = a**3 - 24*a**2 - 39*a + 62. Let b(p) = -6*p**3 + 121*p**2 + 196*p - 311. Let l(h) = -8*b(h) - 44*i(h). Find d such that l(d) = 0.
-20, -3, 1
Let w(j) be the third derivative of j**8/42 + 6*j**7/35 - 19*j**6/15 - 7*j**5/5 + 104*j**2 - 1. Solve w(c) = 0.
-7, -1/2, 0, 3
Let u(j) = 296*j**3 + 2*j - 1. Let q be u(1). Let o = q + -1483/5. Determine l, given that -o*l**2 + 4/5*l - 2/5*l**3 + 0 = 0.
-2, 0, 1
Suppose 227*b - 231*b + 12 = 0. Let q(v) = -v**3 + 3*v**2 + 5*v - 13. Let s be q(b). Let 2/13*i + 0 + 2/13*i**s = 0. Calculate i.
-1, 0
Determine h so that 0 + 6/25*h**2 - 2/25*h**4 + 0*h**3 + 4/25*h = 0.
-1, 0, 2
Let y(s) be the third derivative of -s**7/2520 + 7*s**6/720 - 7*s**4/6 - 22*s**2. Let i(w) be the second de