 - 9. Let u(x) = x**2 + 2*x + 4. Let q be u(m). Let 2/5*g**q - 4/5 + 6/5*g + 2/5*g**2 - 6/5*g**3 = 0. What is g?
-1, 1, 2
Let r be 27/(9/3) + -3. Suppose r*g = 9*g. Let -4/3*a + g + 6*a**2 = 0. Calculate a.
0, 2/9
Let m be (-1050)/45 + 23 + (-16)/(-30). Suppose 6/5 - 1/5*h - m*h**2 = 0. What is h?
-3, 2
Factor 11 - 70 + 18*k + 2*k**2 + 18 + 21.
2*(k - 1)*(k + 10)
Suppose f**2 + 3*f**2 + 35*f + 60 - 3*f**2 + 3*f**2 + f**2 = 0. Calculate f.
-4, -3
Let r(o) = -14*o**3 - 168*o**2 - 334*o - 66. Let w(j) = -41*j**3 - 503*j**2 - 1001*j - 199. Let y(v) = -17*r(v) + 6*w(v). Find a such that y(a) = 0.
-18, -2, -1/4
Let d(n) be the first derivative of -32/11*n + 32 - 2/33*n**3 + 8/11*n**2. Let d(j) = 0. What is j?
4
Let k(i) be the first derivative of -4*i**4/3 - 4*i**3/3 - i**2/2 - 13*i - 16. Let c(v) be the first derivative of k(v). Suppose c(u) = 0. What is u?
-1/4
Let n(b) = -27*b**2 + 58*b - 34. Let l(r) = 10*r**2 - 20*r + 11. Let z(u) = -21*l(u) - 6*n(u). Factor z(q).
-3*(4*q - 3)**2
Factor -2/11*c**5 + 0 - 6/11*c**4 + 8/11*c**3 + 0*c**2 + 0*c.
-2*c**3*(c - 1)*(c + 4)/11
Let q(s) be the second derivative of 8*s**7/21 + 6*s**6/5 - 2*s**5/5 - 3*s**4 - 4*s**3/3 - 17*s + 3. Let q(j) = 0. Calculate j.
-2, -1, -1/4, 0, 1
Let u be (35 - 31)*2/60. Let f(n) be the first derivative of -1/10*n**4 + 2/75*n**5 + 0*n - 1/15*n**2 + 1 + u*n**3. Factor f(y).
2*y*(y - 1)**3/15
Let s = -119/4 + 30. Let r be 1*(45/(-36))/(-5). Factor -1/4*z**3 + 1/4 - r*z**2 + s*z.
-(z - 1)*(z + 1)**2/4
Find i such that 2*i**2 - i + i**3 - 3/2 - 1/2*i**4 = 0.
-1, 1, 3
What is p in 56*p + 392/9 + 18*p**2 = 0?
-14/9
Let m(t) be the second derivative of -1/5*t**5 - 4*t**2 + 16*t + 0 + 0*t**4 + 2*t**3. Factor m(u).
-4*(u - 1)**2*(u + 2)
Solve 39/4*c**2 - 2*c**3 - 17/4*c - 4*c**4 + 1/2 = 0.
-2, 1/4, 1
Determine o, given that 312/5*o**2 - 324/5*o**3 - 3/5*o**5 + 18*o**4 + 0 + 0*o = 0.
0, 2, 26
Let b = 32 - 16. Find z, given that -83*z - 4*z**2 - 104*z - b + 207*z = 0.
1, 4
Let k(b) be the third derivative of -b**7/70 - b**6/20 - b**5/20 - 40*b**2. Find o, given that k(o) = 0.
-1, 0
Let d(a) be the second derivative of -a**3 - 2*a**2 - 1/6*a**4 + 0 - 5*a. Find u, given that d(u) = 0.
-2, -1
Suppose 0 = 4*l + 5*l - 90. Let p be (45/(-108))/(l/(-4)). Factor 1/3*f**2 + p*f + 0.
f*(2*f + 1)/6
Let c be (-6)/4 + (-4)/(48/(-6)). Let u be ((-1)/2*c)/((-20)/(-8)). Let 0 - 3/5*p**2 + 4/5*p**3 - u*p = 0. Calculate p.
-1/4, 0, 1
Let u(z) = -7*z**4 + 53*z**3 + 97*z**2 + 25*z - 6. Let i(y) = 64*y**4 - 478*y**3 - 872*y**2 - 226*y + 52. Let n(q) = 6*i(q) + 52*u(q). Factor n(f).
4*f*(f - 7)*(f + 1)*(5*f + 2)
Let u be 1 + -1 + (6 - 3). Suppose u*x - 4 = 5. Solve 7*t**2 - x*t**4 - t**3 - 8*t**2 - t**5 - 2*t**3 = 0.
-1, 0
Let n(u) be the second derivative of -u**4/60 + 8*u**3/15 + 17*u**2/10 + 41*u. Factor n(v).
-(v - 17)*(v + 1)/5
Let p(o) = o**4 + o**2 - 1. Let v(i) = 6*i**4 - i**3 + 5*i**2 - 5. Let s(m) = -10*p(m) + 2*v(m). Let s(y) = 0. Calculate y.
0, 1
Let f be (2/4)/((-2)/(-8)). Factor -7*x - 8*x**2 - 6 + 10*x**f - x - 4*x**2.
-2*(x + 1)*(x + 3)
Find y, given that -130321/2*y**2 - 2 - 722*y = 0.
-2/361
Let l(j) = 9*j - 1. Let k be l(3). Factor -4*b**2 - 4*b**3 + 5*b - 27 - k + 57 - b.
-4*(b - 1)*(b + 1)**2
Factor -3*l**3 + 300*l**2 + 8*l**3 + 3835*l + 2165*l + 40000.
5*(l + 20)**3
Let l(p) be the first derivative of 2/9*p**3 - 2/15*p - 5 - 1/15*p**2 - 1/10*p**4. Factor l(d).
-2*(d - 1)**2*(3*d + 1)/15
Let o(q) be the first derivative of -1/14*q**2 + 0*q + 2/21*q**3 - 1/28*q**4 + 27. Factor o(h).
-h*(h - 1)**2/7
Suppose -4*t + t = -6. Suppose -t*p = -0 - 2. Solve -22*s**2 + 24*s**2 - p - s**5 - s + 2*s**3 - s**4 + 0 = 0 for s.
-1, 1
Let z(o) be the first derivative of o**8/1680 + o**7/280 + o**6/360 - o**5/40 - o**4/12 - 5*o**3 + 4. Let b(j) be the third derivative of z(j). Factor b(i).
(i - 1)*(i + 1)**2*(i + 2)
Let l(j) = 5*j**2 - j + 5. Suppose 5 = 5*b - 10. Suppose -b*u - 6 = 3. Let v(t) = 4*t**2 - 2*t + 4. Let s(k) = u*v(k) + 2*l(k). Factor s(p).
-2*(p - 1)**2
Let s(o) be the first derivative of o**4/11 - 14*o**3/33 + 3*o**2/11 - 126. Factor s(a).
2*a*(a - 3)*(2*a - 1)/11
Let r(g) be the first derivative of 3*g**4/20 - 4*g**3/5 + 3*g**2/2 - 6*g/5 + 146. Factor r(f).
3*(f - 2)*(f - 1)**2/5
Find k such that -11/3*k**2 - 4/3*k + 1/3*k**3 + 44/3 = 0.
-2, 2, 11
Let a(m) be the third derivative of m**7/1365 - 31*m**6/390 + 32*m**5/13 + 31*m**4/78 - 961*m**3/39 + 21*m**2 + 6*m. Determine t so that a(t) = 0.
-1, 1, 31
Let l = -1264/7 - -181. Let f = -96 + 101. Find k such that -6/7*k**4 + 24/7*k**2 - 6/7*k**3 + 6/7 - 3*k + l*k**f = 0.
-2, 1
Let z(m) = 7*m**4 + 20*m**3 + 9*m**2 - 36*m. Let k(h) = -h**4 + h**2. Let w(v) = 3*k(v) + z(v). Let w(l) = 0. What is l?
-3, 0, 1
Let o(m) = -2*m**2 + 20*m + 12. Let w be o(11). Let z be (4/w)/((-49)/70). Let -2/7*f - z*f**2 - 2/7*f**3 + 0 = 0. Calculate f.
-1, 0
Let s be ((-10)/20)/(((-9)/(-15))/((-16)/40)). Let -1/3*c**2 + 0 - 2/3*c - 1/3*c**5 + s*c**4 + c**3 = 0. Calculate c.
-1, 0, 1, 2
Let w be 0 - ((-198)/54 - (-2 - 1)). Suppose -4/3 + w*z**3 - 10/3*z - 2*z**2 + 2/3*z**4 = 0. What is z?
-1, 2
Suppose 3*l - 262 = -2*f, 0*f + 2*f + 326 = 4*l. Let b be l/(-22) - (-5 + -5 + 6). Factor b*v**3 + 0 - 2/11*v + 0*v**2.
2*v*(v - 1)*(v + 1)/11
Factor 8 - 9*k**4 + 4*k**4 - 4*k**3 - 12*k**2 - 320*k + 324*k + 9*k**4.
4*(k - 2)*(k - 1)*(k + 1)**2
Determine w so that 176*w**2 - 34*w - 144*w**5 - 244*w**3 + 298*w + 24 - 528*w**4 + w - 125*w = 0.
-3, -1/2, -1/3, 2/3
Let a be 3*(0 + -1) - -7. Determine h so that -10*h**2 - 6*h**4 + 7*h**4 - 8*h - 2*h**2 + 3*h**a = 0.
-1, 0, 2
Determine w so that -741*w**2 + 4*w + 5 + 369*w**2 + 371*w**2 = 0.
-1, 5
Let h(f) be the third derivative of f**5/30 - f**4/36 - 2*f**3/9 + 277*f**2. Factor h(a).
2*(a - 1)*(3*a + 2)/3
Let c = -112 + 116. Let h(j) be the second derivative of 1/12*j**3 + c*j + 1/48*j**4 + 0 + 1/8*j**2. Find g such that h(g) = 0.
-1
Suppose -2*v = -4 - 0. Factor -3*g**2 + 16*g - 20*g**3 + 28*g**3 + 4 + 23*g**v.
4*(g + 1)**2*(2*g + 1)
Determine f so that 178*f + 0 + 32*f - 3*f**2 - 229 + 22 = 0.
1, 69
Let c be 72/40*(8/18)/1. Solve -c - 2/3*v - 2/15*v**2 = 0.
-3, -2
Let r(y) = 3*y**2 - 8*y + 10. Let p(b) = -b + 2. Let j(l) = -28*p(l) + 4*r(l). Let j(f) = 0. Calculate f.
-1, 4/3
Determine x so that 825*x**2 + 26313 + 5*x**3 + 577125 - 338381 + 566818 + 45375*x = 0.
-55
Let p(q) = -5*q - 50. Let y be p(-11). Let t(n) be the third derivative of -1/4*n**3 + 0*n + 0*n**4 + 0 - n**2 + 1/40*n**y. Factor t(u).
3*(u - 1)*(u + 1)/2
Let d = -103 - -112. Let h be d - 11 - (-5)/2. Determine l, given that 0 - h*l**2 + 0*l = 0.
0
Let n(i) = 25*i - 372. Let p be n(15). Let 2/5*s**2 + 6/5*s**4 + 0*s + 6/5*s**p + 0 + 2/5*s**5 = 0. Calculate s.
-1, 0
Factor 12/7*a**3 - 6 - 76/7*a + 2/7*a**4 - 24/7*a**2.
2*(a - 3)*(a + 1)**2*(a + 7)/7
Let y(b) = -2*b - 1. Let k(v) = -4*v**2 + 76*v - 86. Let t(d) = -k(d) - 10*y(d). Factor t(s).
4*(s - 12)*(s - 2)
Let o(r) be the first derivative of -r**6/70 - 3*r**5/70 + r**4/28 + r**3/7 + 10*r - 17. Let b(t) be the first derivative of o(t). Find x, given that b(x) = 0.
-2, -1, 0, 1
Let y be 7/((-7)/6)*2/(-3). Suppose 15*g**2 - 21*g + 0*g + g + g**3 + y*g**3 = 0. What is g?
-4, 0, 1
Let i(j) be the first derivative of j**5/10 - 3*j**4/4 + 27*j**2/2 - 81*j/2 + 152. Determine t, given that i(t) = 0.
-3, 3
Let d be 3 + 0/(-4) - -4. Let u be (-38)/(-6) - (d + -4). Suppose 1/3*s**5 - u*s**2 - 2*s**3 - 3 + s**4 + 7*s = 0. What is s?
-3, 1
Let f(a) be the second derivative of -a**6/45 + a**5/5 - a**4/2 + 4*a**3/9 + 764*a. Solve f(j) = 0.
0, 1, 4
Suppose 0 = -7*u + 25*u - 90. Let k(s) be the first derivative of 1/15*s**6 + 1/5*s**2 + 3/5*s**4 - 8/15*s**3 - 8/25*s**u + 0*s - 1. Factor k(v).
2*v*(v - 1)**4/5
Let c(k) = 6*k**2 - 30*k - 5. Let j(d) = -3*d**2 + 15*d + 2. Let u(i) = -14*i + 5. Let b be u(0). Let r(g) = b*j(g) + 2*c(g). Suppose r(t) = 0. Calculate t.
0, 5
Find o, given that 383*o - 4*o**2 - 117*o - 51 + 86*o + 8*o**2 - 305 = 0.
-89, 1
Let h(r) be the third derivative of 9*r**7/1400 + r**6/50 - 11*r**5/200 + r**4/20 - 7*r**3/6 - 2*r**2. Let m(c) be the first derivative of h(c). Factor m(p).
3*(p + 2)*(3*p - 1)**2/5
Suppose w - 14 = -2*a, -3*w + 39 = -0*a + 3*a. Let j be 3 - (-7)/((-112)/w). Factor -3/4*p**3 + 9/4*