et a(u) = -7*u**2 - 46*u - 51. Let c(i) = 6*i**2 + 47*i + 51. Let t(q) = 5*a(q) + 6*c(q). Suppose t(w) = 0. What is w?
-51, -1
What is b in 4 - 2 - 2 - 101*b**3 + 105*b**3 - 4*b - 4 + 4*b**2 = 0?
-1, 1
Suppose 0 = 3*n - 4*n - 2*s + 1, 5*s = -n - 2. Find m, given that -6*m**4 + 0*m**4 - 6*m**3 + n*m**2 - 3*m**2 - 2*m**2 - 2*m**5 = 0.
-1, 0
Let q be -5 + 2/((8/6)/(-2)). Let c = q + 10. Solve 3/2*i**3 - 3/4*i**5 + 3/2*i**c - 3/4*i**4 - 3/4 - 3/4*i = 0.
-1, 1
Factor 40*u - 34*u**2 + 9*u**3 + 80 - 20*u**2 - 4*u**3 - 10*u + 9*u**2.
5*(u - 8)*(u - 2)*(u + 1)
Let t(s) = s**4 - s**2 + s - 1. Let l(n) = -44*n**4 - 3*n**3 + 28*n**4 - 2 + 2*n + 19*n**4. Let c(d) = -3*l(d) + 6*t(d). Solve c(a) = 0 for a.
0, 1, 2
Suppose -2*u - 4 = -6*u. Let x be (u/(-4))/((-5)/340). Factor -x*g**5 + 36*g**2 - 28*g**3 - 32*g**3 + 5*g**5 + 44*g**4 - 8*g.
-4*g*(g - 1)**3*(3*g - 2)
Suppose -16*s = -15*s - 9. Solve -10*l - 5*l**2 - s*l + 29*l = 0.
0, 2
Let c(d) be the first derivative of d**3 + 0*d - 1/8*d**4 - 1/20*d**5 + 1 - 1/2*d**2. Let j(l) be the second derivative of c(l). Find x, given that j(x) = 0.
-2, 1
Let a(g) be the second derivative of 0 - 1/11*g**5 - 1/33*g**6 - 5/33*g**3 - 8*g - 1/11*g**2 - 1/231*g**7 - 5/33*g**4. Determine m, given that a(m) = 0.
-1
Let s(a) be the first derivative of -a**4/24 + 3*a**3/2 + 19*a**2/4 + 29*a/6 - 482. Solve s(l) = 0 for l.
-1, 29
Let r(f) = -f**3 + 90*f**2 + 306*f - 1006. Let u(x) = -90*x**2 - 305*x + 1005. Let b(p) = -5*r(p) - 6*u(p). Factor b(j).
5*(j - 2)*(j + 10)**2
Let w(i) be the first derivative of i**6/2 - 11*i**5/5 + 37*i**4/12 - 5*i**3/3 + i**2/3 + 181. Suppose w(p) = 0. Calculate p.
0, 1/3, 1, 2
Let y(r) = -r**5 + 22*r**4 + 11*r**3 + 12*r - 4. Let q(i) = -3*i**5 + 87*i**4 + 45*i**3 + 45*i - 15. Let h(o) = -4*q(o) + 15*y(o). Solve h(g) = 0.
-5, -1, 0
Let r(p) be the first derivative of 5*p**3/3 + 35*p**2 - 160*p + 154. Let r(m) = 0. Calculate m.
-16, 2
Let t(n) = 7*n**3 - 5*n**2 + 4*n - 4. Let x(k) = -3*k**3 + 2*k**2 - k + 2. Let y(w) = -2*t(w) - 5*x(w). Factor y(j).
(j - 2)*(j + 1)**2
Let c(s) be the third derivative of -3/8*s**4 + s**3 + 0*s + 41*s**2 + 1/20*s**5 + 0. Find r such that c(r) = 0.
1, 2
Factor -4/3*r**3 + 104*r**2 - 2704*r + 70304/3.
-4*(r - 26)**3/3
Let g = 767 - 764. Solve 3/5*o**5 + 2/5*o**g + o**4 + 0 + 0*o + 0*o**2 = 0.
-1, -2/3, 0
Determine i so that 70/3*i + 28/3*i**2 + 2/3*i**3 + 44/3 = 0.
-11, -2, -1
Let k be (0 - 1) + 0 + -1. Let l(w) = -w**3 + w - 2. Let t be l(k). Let -4*a**5 - 16 - 3*a + 12*a**4 + 6*a**5 + 22*a**3 - 21*a + t*a**2 = 0. What is a?
-2, -1, 1
Let i(n) be the second derivative of n**6/8 - 3*n**5/40 - 15*n**4/16 - n**3/2 + 3*n**2/2 - 22*n - 1. Suppose i(d) = 0. Calculate d.
-1, 2/5, 2
Let l be (-10)/(-65) + 4/(-26). Let l + 2 + 4*p - 3 + p**2 + 4 = 0. What is p?
-3, -1
Factor -15*j**4 + 10*j**5 - 1026*j + 1026*j - 10*j**3.
5*j**3*(j - 2)*(2*j + 1)
Let h(k) be the first derivative of 4 + 3*k + 0*k**3 + 0*k**4 - 1/90*k**5 + 0*k**2. Let c(x) be the first derivative of h(x). Factor c(o).
-2*o**3/9
Suppose j = -3*h + 18, 3*h - 24 = -h + 5*j. Let w be 2/h*(-1 + 112). Find p such that -6*p**3 - w*p**2 + 4*p + 3*p**5 + 5*p**4 + 4*p**4 + 9 - p + 19*p**2 = 0.
-3, -1, 1
Let w(i) = -9*i**4 - 51*i**3 - 24*i**2 + 15*i - 3. Let k(y) = 11*y**4 + 52*y**3 + 23*y**2 - 16*y + 2. Let p(d) = 3*k(d) + 2*w(d). Find z such that p(z) = 0.
-3, -1, 0, 2/5
Determine n, given that 16/3 + 34/3*n + 20/3*n**2 + 2/3*n**3 = 0.
-8, -1
Let p(a) be the third derivative of -a**8/252 - 2*a**7/105 - a**6/30 - a**5/45 + 3*a**2 - 58. Factor p(f).
-4*f**2*(f + 1)**3/3
Factor -6*g - 124*g**5 - 6 - 127*g**5 - 2*g**2 + 12*g**3 + 12*g**4 - 4*g**2 + 254*g**5 - 9*g.
3*(g - 1)*(g + 1)**3*(g + 2)
Let q(u) = -5*u**2 + 0*u**2 + 4*u**2. Let x(k) = 2*k**2 + 3*k - 2. Suppose -s = -2*y + 1, 4*s - 2*y = -0*s - 4. Let a(o) = s*x(o) - 3*q(o). Factor a(z).
(z - 2)*(z - 1)
Find j such that 14*j**3 - 31*j + 38*j**2 + 16 + 2*j - 39*j = 0.
-4, 2/7, 1
Let o be -9*(-20)/135 - 4/3. Factor 0*m**2 + 1/2*m**4 + o - 3/2*m**3 + 0*m.
m**3*(m - 3)/2
Suppose 0 = n + 11 - 12, 0 = -p - n + 5. Let l(t) be the first derivative of -3 + 0*t + 0*t**2 + 1/5*t**5 - 1/2*t**p + 1/3*t**3. Factor l(v).
v**2*(v - 1)**2
Suppose -9*n + 40*n = 93. Factor 0 + 1/11*d**n + 0*d**2 + 0*d - 1/11*d**5 + 0*d**4.
-d**3*(d - 1)*(d + 1)/11
Suppose 15*a + 390 = 17*a. Suppose -242*v**3 + 125*v**4 - a*v**2 + 67*v**3 + 95*v - 986 + 976 = 0. Calculate v.
-1, 1/5, 2
Let z(l) = -9*l**5 + 29*l**4 - 16*l**3 + 2*l**2 + 3*l. Let s(w) = 28*w**5 - 86*w**4 + 48*w**3 - 6*w**2 - 8*w. Let k(q) = -3*s(q) - 8*z(q). Factor k(y).
-2*y**2*(y - 1)**2*(6*y - 1)
Let p(a) = a**4 + 2*a**3 + a**2 + a + 1. Let j(x) = 13*x**3 - 10*x**2 + 7*x + 2. Let g(i) = -j(i) + 2*p(i). Suppose g(d) = 0. What is d?
0, 1, 5/2
Let x be 3/(4/16*6). Factor -15*a**x + 14*a - 52*a + 29*a + 27 - 3*a**3.
-3*(a - 1)*(a + 3)**2
Factor -48*s + 1152 + 1/2*s**2.
(s - 48)**2/2
Let p(y) = 2*y + 39. Let o be p(5). What is l in -21*l**5 - l**4 - 19*l**4 - 8*l**3 + o*l**5 = 0?
-2/7, 0, 1
Let j(f) be the first derivative of -f**4/6 + 4*f**3/3 - 3*f**2 + 84. Factor j(p).
-2*p*(p - 3)**2/3
Let u = -19 - -21. Suppose -b = u*b. Solve -27 - 3*r**2 + b*r**2 + 30 = 0 for r.
-1, 1
Suppose -2 = -2*c + 2*y, -4*y = -9*c + 13*c - 12. Let t(q) be the first derivative of -5 + q**2 - c*q - 1/6*q**3. Let t(x) = 0. Calculate x.
2
Let d(x) = -x + 9. Let c be d(7). Factor 51*g - 15*g**3 + 27*g**2 + 8 + 19*g**c - 7*g - 20*g**3.
-(g - 2)*(5*g + 2)*(7*g + 2)
Let j be 119/21 - (-18 + 14 + 3). Find m such that j*m + 4/3*m**2 + 0 = 0.
-5, 0
Suppose 0 = 7*s - 148 + 127. Let o(j) be the third derivative of -1/60*j**5 + 1/60*j**4 + 0*j**s + 0 + 5*j**2 + 0*j. Suppose o(v) = 0. Calculate v.
0, 2/5
Let t(q) = q**2 + 5*q - 4. Suppose 3*p = -2*i - 5, 3*p = 2*i + 3 + 8. Let o be t(p). Find n such that 3/2*n**5 - 6*n**4 + 0*n - 3*n**o + 0 + 15/2*n**3 = 0.
0, 1, 2
Let z(t) = -5*t**4 - 60*t**3 - 130*t**2 + 175. Let a(o) = -2*o**3 - o**2 - 1. Let g(k) = -5*a(k) + z(k). Determine u so that g(u) = 0.
-6, -3, -2, 1
Let i(k) = k**3 + 2*k**2 - 2. Let g(d) = -d**4 + 172*d**3 - 7221*d**2 - 4. Let f(l) = 5*g(l) - 10*i(l). Factor f(v).
-5*v**2*(v - 85)**2
Let m(f) = -7*f**2 + 9*f - 7. Let k(w) = 3*w**3 + w**2 - w. Let l = 4 - 3. Let y be k(l). Let h(s) = -4*s**2 + 5*s - 4. Let n(a) = y*m(a) - 5*h(a). Factor n(q).
-(q - 1)**2
Let o(k) be the third derivative of 9*k**8/112 - 57*k**7/70 + k**6/4 + 13*k**5/5 - 3*k**4 + 26*k**2. What is x in o(x) = 0?
-1, 0, 2/3, 6
Let y be ((-21)/6 + 3)*-24. Let c(k) = k**3 - 13*k**2 + 11*k + 17. Let q be c(y). What is o in -2 - 2 - 2*o**2 + q*o**2 + 1 = 0?
-1, 1
Let z(a) = -a**3 - 122*a**2 - 32*a + 4. Let c(o) = 123*o**2 + 24*o - 3. Let r(s) = -4*c(s) - 3*z(s). Determine n, given that r(n) = 0.
0, 42
Suppose 0 = -4*y + 2*z + 516, -6*y + 3*y + 388 = -2*z. What is v in 130*v**3 - y*v**3 - 3*v**4 - 2*v**5 + 4*v**2 - v**4 = 0?
-2, -1, 0, 1
Let v be (-2616)/(-96) + -24 + 3*-1. Solve 0 - 1/2*w**2 + 1/4*w + v*w**3 = 0 for w.
0, 1
Let y(r) = -9*r**3 + 3*r**2 - 7. Let b(s) be the third derivative of -s**6/30 + s**5/60 - s**3/2 + 10*s**2. Let a(q) = 14*b(q) - 6*y(q). Factor a(m).
-2*m**2*(m + 2)
Let u(m) be the first derivative of -5*m**4/4 + 35*m**2/2 + 30*m - 41. Let u(s) = 0. Calculate s.
-2, -1, 3
Let k = 9 - 10. Let z = 3 + k. Find j, given that -3*j**3 + 3*j**3 + 0*j**3 - z*j**2 - 4*j**4 + 6*j**3 = 0.
0, 1/2, 1
Let x be (50/15 + -4)*15/(-2). Factor 10*f**2 + x*f**2 - 16*f + 6*f - 5*f**4.
-5*f*(f - 1)**2*(f + 2)
Let y(b) = 2*b**2 + 11*b + 2. Let c be (0 - (-25)/(-10))*8/10. Let q(s) = s. Let k(n) = c*y(n) + 14*q(n). Factor k(u).
-4*(u + 1)**2
Suppose -4*j = -4*l, -2*j + 1 + 1 = -l. Find z such that 13*z - 83 - 25 + 7*z**2 - 49*z - 10*z**j = 0.
-6
Solve 3*c**3 + 13*c**2 + 0*c**3 - 3*c**4 + 2*c**2 + 162*c - 153*c = 0 for c.
-1, 0, 3
Let p be ((-2)/5)/(4/(-20)). Find k such that -3*k + 3*k + 4*k**3 + p*k**4 + 0*k**4 = 0.
-2, 0
Find v such that 5 - 7/2*v + 1/2*v**2 = 0.
2, 5
Let n be -1*0/(3/(-3)). Suppose n = s - 4. What is f in 148*f**2 + 208*f**4 + s + 116*f**3 + 0 + 140*f**3 + 40*f + 64*f**5 = 0?
-1, -1/2, -1/4
Let d be 1/3 + (-348)/(-36). Suppose -w = -5*y + 2 + d, -21 = -3*y - 4*w. Factor 0*s + 6*s**2 + 3*s - 3*s**y + 6*s**3.
3*s*(s + 1)**2
Let q(x) be the firs