vative of 4/3*n**3 + n**2 + 1/2*n**4 + 0*n - 1. Solve c(a) = 0.
-1, 0
Suppose 7*b = 11*b - 84. Let g be (b/10)/(4/8). Determine o, given that -57/5*o**3 - 12/5 - g*o**4 - 48/5*o - 3/5*o**5 - 15*o**2 = 0.
-2, -1
Suppose 8 - 2 = 3*j. Let 7 - 2*u - 9 - j*u**5 + 3*u**2 - 2*u**4 + u**2 + 4*u**3 = 0. Calculate u.
-1, 1
Let c(w) be the third derivative of w**7/70 - 7*w**6/40 + 9*w**5/10 - 5*w**4/2 + 4*w**3 + 93*w**2. Factor c(s).
3*(s - 2)**3*(s - 1)
Let b = 7200 + -64796/9. Factor -2/9*i**4 + 2/9*i**2 - 4/9*i**3 + b*i + 0.
-2*i*(i - 1)*(i + 1)*(i + 2)/9
Let o(f) be the second derivative of 1/40*f**5 + 0 - 1/336*f**7 - 4*f - 1/16*f**3 + 1/8*f**2 - 1/48*f**4 + 0*f**6. Suppose o(d) = 0. Calculate d.
-2, -1, 1
Let z(o) be the second derivative of o**6/165 - o**5/110 - 5*o + 15. Factor z(q).
2*q**3*(q - 1)/11
Determine q so that -21/4*q - 3 - 3/8*q**3 - 21/8*q**2 = 0.
-4, -2, -1
Let s(w) be the first derivative of -w**3 + 0*w - 6 - 3/4*w**4 + 0*w**2. Factor s(r).
-3*r**2*(r + 1)
Let d(q) be the second derivative of 0 - 14*q - 1/66*q**4 - 9/11*q**2 + 2/11*q**3. Let d(o) = 0. What is o?
3
Let b be -1 + 65/10 - 1/(-2). Let f be ((-9)/b + (-85)/(-30))*2. Determine t so that -f*t - 8/3 - 2/3*t**2 = 0.
-2
Suppose 8*c - 6*c = -4. Let u be (-6)/c - 9/12*4. Factor 0 - 4/5*b**3 + 2/5*b + u*b**4 + 2/5*b**5 + 0*b**2.
2*b*(b - 1)**2*(b + 1)**2/5
Let a(d) be the first derivative of -3*d**5/10 + d**4/8 + 2*d**3 - d**2 - 90. Solve a(f) = 0.
-2, 0, 1/3, 2
Let f(i) = 32*i - 32. Let l be f(1). Let j(m) be the first derivative of l*m + 5/3*m**3 - m**2 + 7/4*m**4 - 1. Factor j(u).
u*(u + 1)*(7*u - 2)
Let t(i) be the third derivative of i**6/420 + i**5/105 + i**4/84 - 20*i**2 - 12*i. Determine x so that t(x) = 0.
-1, 0
Suppose 60 = 3*g + 5*c, 0*g - 66 = -3*g - 3*c. Let u be 4/(-10)*g/(-40). Factor 0 + 1/2*m**2 + u*m**3 + 1/4*m.
m*(m + 1)**2/4
Let t(k) be the second derivative of -k**5/210 + 5*k**4/42 - 25*k**3/21 - 13*k**2/2 - 8*k. Let j(f) be the first derivative of t(f). Factor j(h).
-2*(h - 5)**2/7
Let h(o) be the second derivative of -o**5/30 - o**4/6 + o**3 + 7*o**2 - 14*o. Let v(x) be the first derivative of h(x). Solve v(w) = 0.
-3, 1
Let t(a) be the second derivative of -5/189*a**7 + 2/9*a**2 - 4/45*a**6 - 2/45*a**5 + 5*a + 0 + 5/27*a**4 + 1/3*a**3. Determine w, given that t(w) = 0.
-1, -2/5, 1
What is s in -3/4*s**4 + 3*s**3 + 15/4*s**2 + 0*s + 0 = 0?
-1, 0, 5
Factor 17 + 5*i**3 + 21 - 75*i**2 + 36 + 1 - 5*i.
5*(i - 15)*(i - 1)*(i + 1)
Let m(t) be the first derivative of -4/3*t**6 + 8/5*t + 17/5*t**4 - 4/15*t**3 - 15 - 4/25*t**5 - 14/5*t**2. Find r, given that m(r) = 0.
-1, 2/5, 1/2, 1
Let b(d) = -d**3 - 6*d**2 - 4*d + 3. Let n be b(-5). Let l(h) = h + 6. Let k be l(n). Find f, given that 3*f - k*f**2 + 2*f - f = 0.
0, 1
Suppose -5*f + 18 = -7. Let k = 243 + -239. Determine c so that -2*c**3 + 0*c**2 + 8/3*c**k + 0 - c**f + 1/3*c = 0.
-1/3, 0, 1
Let x be -4 + 2 + 91/39. Suppose -7/3*q**2 + x*q**3 - 3 + 5*q = 0. What is q?
1, 3
Let p(a) be the first derivative of -10 + 36*a - 12*a**2 + 4/3*a**3. Factor p(y).
4*(y - 3)**2
Let o = 175/6 - 1129/42. Suppose -t - 4*t = f + 17, 26 = 2*f - 5*t. Factor -j**f - 11/7*j - 2/7 - o*j**2.
-(j + 1)**2*(7*j + 2)/7
Let a = 189/34 - 69/17. Determine p so that 3/2*p - a*p**2 + 3/2 - 3/2*p**3 = 0.
-1, 1
Let f(q) be the third derivative of 0 + 1/210*q**5 + 0*q + 1/735*q**7 - 1/210*q**6 + 8*q**2 + 0*q**4 + 0*q**3. Factor f(p).
2*p**2*(p - 1)**2/7
Let p = 2393/145 - 61/29. Factor -2/5*z**2 - p - 24/5*z.
-2*(z + 6)**2/5
Factor 8/7*y**2 - 8/7*y - 2/7*y**4 + 0 + 2/7*y**3.
-2*y*(y - 2)*(y - 1)*(y + 2)/7
Suppose -12 = 4*w - 4*r, -5*w + r = 4*r - 25. Solve -10*b + 4*b - 20*b**2 - 7*b - w*b = 0.
-3/4, 0
Let b(o) = -31*o + 31*o - 3 + 11*o**2. Let a(n) = 15*n**2 - 2. Let l(z) = 8*z**2 - 1. Let h(r) = -4*a(r) + 7*l(r). Let y(d) = 3*b(d) + 8*h(d). Factor y(x).
(x - 1)*(x + 1)
Let a = 6 + -5. Suppose t - 3 = a. Let 6*j + t*j + j**3 + 3*j**2 - 8*j = 0. Calculate j.
-2, -1, 0
Let h be (-2650)/15*(-12)/16. Let z = -131 + h. Find t, given that -3/2*t**2 + 3/2*t**3 - 3/2*t + z*t**4 + 0 = 0.
-1, 0, 1
Let m(x) be the second derivative of x**5/10 - x**4/6 - 5*x**3/3 - 3*x**2 + 43*x. Factor m(t).
2*(t - 3)*(t + 1)**2
Let q(v) be the third derivative of -v**5/30 - v**4/4 + 4*v**3/3 + 4*v**2 - 24*v. Factor q(j).
-2*(j - 1)*(j + 4)
What is s in -104*s - 107*s - 4*s**4 - 24*s**3 + 211*s - 20*s**2 = 0?
-5, -1, 0
Let b(m) be the second derivative of 0 + 1/20*m**5 + 4/3*m**3 - 2*m**2 - 9*m - 5/12*m**4. Determine v so that b(v) = 0.
1, 2
Let i(c) = 2*c**2 - 8*c - 9. Let s(d) = -d + 1. Let v(f) = i(f) + 5*s(f). Let g be v(9). Find h such that -g*h**2 + 43*h**2 + h + 2 + 3*h = 0.
-1
Let s = -25823/6 - -4304. Factor s*z**2 + 0 + 0*z - 1/6*z**3.
-z**2*(z - 1)/6
Let z be ((-11)/22)/(6/(-4)). Factor -1/3*f - 1/3*f**4 + z*f**3 + 1/3*f**2 + 0.
-f*(f - 1)**2*(f + 1)/3
Let z(v) be the second derivative of 0*v**2 - 2/15*v**3 - 1/30*v**4 + 0 + 2*v. Factor z(h).
-2*h*(h + 2)/5
Solve 3 - 7*j**2 - 14*j + 36 + 6 - 8*j**2 + 16*j**2 = 0.
5, 9
Let c(a) be the third derivative of -a**7/105 - 3*a**6/20 + 23*a**5/30 + 3*a**4/4 - 22*a**3/3 + 4*a**2 + 22. Solve c(m) = 0.
-11, -1, 1, 2
Let r(i) be the third derivative of i**8/1344 - i**7/120 + 19*i**6/480 - 5*i**5/48 + i**4/6 - i**3/6 + 2*i**2 - 33. Let r(y) = 0. What is y?
1, 2
Let r be -5*6/(-45)*(1 - -2). Factor 5 - 25*m - 4*m**2 + 14*m - m**3 + 11*m**r.
-(m - 5)*(m - 1)**2
Let a(p) = 2*p**2 - 4*p. Let x(v) be the first derivative of -v**3/3 - v**2/2 + 22. Let j(q) = 2*a(q) - 6*x(q). Factor j(z).
2*z*(5*z - 1)
Suppose 120*y = 119*y + 3. Let d(p) be the second derivative of 1/10*p**5 - 1/60*p**6 + 0 - 5/24*p**4 - 2*p + 1/6*p**y + 0*p**2. Suppose d(w) = 0. Calculate w.
0, 1, 2
Suppose 0 = -h + 10 - 6. Determine s, given that 12*s - 3*s**3 + 9 - s**2 - 1 - s**2 - s**4 + h*s**2 = 0.
-2, -1, 2
Let p(t) = t**4 - t**3 - 3*t**2 - 1. Let o(q) = -6*q**4 + 2*q**3 + 14*q**2 + 2*q + 4. Let a(r) = o(r) + 4*p(r). Let a(v) = 0. What is v?
-1, 0, 1
Let q(h) be the second derivative of -h**4/24 + 4*h**3/3 - 16*h**2 + 5*h. Factor q(r).
-(r - 8)**2/2
Let o = 151 - 185. Let z be o/(-66) - (-36)/(-198). Let 5/3*q**2 + 2/3*q - 1/3*q**4 + q**3 + 0 - z*q**5 = 0. What is q?
-1, 0, 2
Suppose -2 = 3*s - 2*a - 17, 0 = 2*a + 6. Suppose -s = -2*g + 3. What is q in q**2 - 8*q + 1 + 3 + g*q**2 = 0?
1
Suppose -3*t + 8 - 2 = 0. Find y such that 4*y**2 - 16*y - y**t + 13*y = 0.
0, 1
Let m(k) = -k**3 - 2*k**2 + 2. Let j be m(-2). Let p(l) be the first derivative of -l**4 + 7*l**2 - 5 - 7*l**2 + 4*l**3 + 0*l**j. Suppose p(o) = 0. Calculate o.
0, 3
Let q(i) be the second derivative of 5*i**7/14 - 41*i**6/3 - 107*i**5/3 - 505*i**4/18 - 145*i**3/18 + 105*i. Find o such that q(o) = 0.
-1, -1/3, 0, 29
Let l(r) be the third derivative of 0 - 19*r**2 + 0*r + 1/40*r**6 + 75/2*r**4 - 500*r**3 - 3/2*r**5. Factor l(d).
3*(d - 10)**3
Let t be ((-66)/12)/((-2)/4) + -8. Let n = -5 + 9. Factor -2/5*b**2 + 0*b - 2/5*b**n - 4/5*b**t + 0.
-2*b**2*(b + 1)**2/5
Let -20/11*x + 46/11*x**2 + 0 + 120/11*x**3 + 62/11*x**4 + 8/11*x**5 = 0. What is x?
-5, -2, -1, 0, 1/4
Let b(u) be the first derivative of -3*u**5/5 - 57*u**4/4 - 126*u**3 - 486*u**2 - 648*u - 59. Factor b(l).
-3*(l + 1)*(l + 6)**3
Let x(p) be the third derivative of 1/210*p**5 - 1/420*p**6 + 0*p + 5*p**2 + 0 + 1/84*p**4 - 1/21*p**3. Factor x(t).
-2*(t - 1)**2*(t + 1)/7
Let p(y) = -11 - 11 + 21 - 2*y**3 + 3*y**3. Let b(h) = 5*h**3 + 6*h**2 + 4*h - 3. Let k(v) = -2*b(v) + 6*p(v). Solve k(u) = 0 for u.
-2, -1, 0
Let w(h) be the first derivative of 7*h**5 + 605*h**4/4 + 710*h**3 + 1190*h**2 + 520*h + 244. Suppose w(m) = 0. What is m?
-13, -2, -2/7
Suppose 0 = -3*n - 5*w + 69, 2*w + 6 + 6 = n. Suppose 4*v - n = -4*l + 10, 5 = 5*l - v. Factor 2/7*z**l + 0*z - 2/7.
2*(z - 1)*(z + 1)/7
Let c = -38 + 41. Determine z so that 249*z**2 + 125*z + 55*z**c - 51*z**4 + 56*z**4 - 74*z**2 = 0.
-5, -1, 0
Suppose 44*f - 125*f + 477 = 78*f. Factor 1/2 + 1/2*k**f + 3/2*k**2 + 3/2*k.
(k + 1)**3/2
Let t(f) be the first derivative of -f**6/90 + f**5/9 - 4*f**4/9 + 8*f**3/9 - 17*f**2/2 + 9. Let q(a) be the second derivative of t(a). Solve q(y) = 0 for y.
1, 2
Let y(a) be the second derivative of a**6/45 + 37*a**5/30 + 85*a**4/3 + 3100*a**3/9 + 7000*a**2/3 - 1