the first derivative of v(z). Let c(y) = 0. What is y?
-2, -1
Factor -2/5*w**4 + 14/5*w**3 + 2*w + 0 - 22/5*w**2.
-2*w*(w - 5)*(w - 1)**2/5
Let p = 6437 - 6435. Find l such that 7/2*l + l**4 + l**2 + 1/2*l**5 - p - 4*l**3 = 0.
-4, -1, 1
Let x(w) = w + 9. Let p be x(-8). Let z be ((-9)/7 + p)/(-1). Let -z*b + 2/7*b**4 + 4/7*b**3 - 2/7*b**5 + 2/7 - 4/7*b**2 = 0. What is b?
-1, 1
Find j such that 554*j**2 - 19 + 545*j**2 - 20*j - 1100*j**2 = 0.
-19, -1
Suppose -2*b + 463 = -3*d - 42, -2*d - 2*b = 350. Let x = -854/5 - d. Factor -2/5*j**2 + x*j - 2/5*j**3 + 1/5*j**5 + 1/5 + 1/5*j**4.
(j - 1)**2*(j + 1)**3/5
Let h be 10*(-20)/450 - (35/(-18) + 0). Factor -1/2*j**2 - 2*j - h.
-(j + 1)*(j + 3)/2
Factor -3/7*m**2 - 384/7*m - 12288/7.
-3*(m + 64)**2/7
Let d(i) = i**2 - 9*i + 10. Let p be d(8). Suppose 0 = -p*x + 4*h - 2, -4*h + 5 = x - 0*h. Factor x + 2 + 2*o**2 - 3*o**2 - 4*o + 2*o.
-(o - 1)*(o + 3)
Let c(i) be the second derivative of -i**6/75 + i**5/75 + i**4/10 - 39*i**2/2 + 12*i. Let b(f) be the first derivative of c(f). Factor b(y).
-4*y*(y + 1)*(2*y - 3)/5
Let v = 51293/17 - 3017. Factor -v*t**2 + 6/17*t - 2/17*t**3 + 0.
-2*t*(t - 1)*(t + 3)/17
Suppose 4 - 3*s - 3/2*s**2 + 1/2*s**3 = 0. Calculate s.
-2, 1, 4
Let q = 366/49 + 306/49. Determine n, given that -128/7 + 2/7*n**5 + 24/7*n**4 + 94/7*n**3 + 104/7*n**2 - q*n = 0.
-4, -1, 1
Let r(v) be the third derivative of -v**8/1680 + 2*v**7/525 - v**6/600 - v**5/50 - v**2 - 29*v. Determine o so that r(o) = 0.
-1, 0, 2, 3
Suppose -5*f - n + 19 = 0, -5*n + 4 = 2*f - n. Let y(g) be the second derivative of 0*g**3 + 0 - 1/10*g**5 - 9*g + 1/6*g**f + 0*g**2. Factor y(z).
-2*z**2*(z - 1)
Let h(c) = -6*c**3 - 5*c**2 - 2*c - 3. Let a = -38 - -34. Let f(y) = 5*y**3 + 5*y**2 + 3*y + 3. Let d(z) = a*h(z) - 5*f(z). What is p in d(p) = 0?
-3, -1
Let s = -84 + 86. Factor -9*d**3 + 15*d**3 - 19*d**s + 16*d**2 + 9*d**4.
3*d**2*(d + 1)*(3*d - 1)
Let p be 0 + 6/(-10) + 1. Let t be (11 - 58/6)/(10/3). Suppose 0 + t*g - p*g**2 = 0. What is g?
0, 1
Let o(n) = -n**3 + n**2 + 130*n + 26. Let i be o(12). Find p, given that 0 + 1/7*p**5 - 1/7*p**4 + 1/7*p**i - 1/7*p**3 + 0*p = 0.
-1, 0, 1
Suppose 0 = -n + 5*n - 16. Find j, given that -4*j**4 - 3*j**n + 14*j**4 + 2*j - 7*j**2 - 2*j**3 = 0.
-1, 0, 2/7, 1
Let i be 6/(180/8 + -9). Factor 2/9*u**3 + 0*u**2 - i*u**4 + 2/9*u**5 + 0 + 0*u.
2*u**3*(u - 1)**2/9
Let z = -9 - -24. Factor 3*s - 3*s**2 + 15*s - z*s.
-3*s*(s - 1)
Let z(v) = -2*v**2 - 2*v. Let j(c) = -4*c**2 - 4*c. Let k(r) = 6*j(r) - 11*z(r). Let s(y) = -y - 1. Let b(l) = -k(l) + 2*s(l). Let b(w) = 0. Calculate w.
-1, 1
Suppose -q - a = 2, 10 = 3*q - 4*q - 3*a. Find h, given that -3/11*h**q + 1/11*h**3 + 4/11 + 0*h = 0.
-1, 2
Suppose 0 = -4*x - 0*x. Let h be (78/22 + -3)*((-14)/(-6))/7. Factor x + 2/11*t + h*t**2.
2*t*(t + 1)/11
Let d = -6 + 8. Suppose 9 = -0*t + 3*t. Find b, given that 5*b**4 + 2 + 3*b**3 - 4*b**5 - 2*b + b**3 - t*b**4 + 2*b**5 - 4*b**d = 0.
-1, 1
Let x = 29 - 26. Factor -25*m**2 + 0*m**x + 26*m**2 - m + m**3 - m**4.
-m*(m - 1)**2*(m + 1)
Suppose 14*m = 2995 - 2995. Suppose -1/4*k**3 + 1/4*k - 5/4*k**4 + m + 5/4*k**2 = 0. What is k?
-1, -1/5, 0, 1
Let h(g) be the third derivative of g**4/4 - g**2. Suppose -x - 31 = -28. Let s(n) = n**2 + 7*n. Let j(w) = x*h(w) + 2*s(w). Factor j(a).
2*a*(a - 2)
Let v = -66 - -69. Let l be ((-6 + 5)/((-2)/16))/v. What is k in -4/3*k**5 + 8/3*k**2 + 4*k - 4*k**4 + 4/3 - l*k**3 = 0?
-1, 1
Find s such that -39 - 153/4*s + 3/4*s**2 = 0.
-1, 52
Suppose -t - 18 = t. Let y be ((-12)/t + 0)/10. What is c in -y*c**2 + 2/15*c + 0 = 0?
0, 1
Suppose 5 = -q, 4*h - 4*q = 5*h + 18. Find a such that -14*a**4 - 4*a**2 + 16*a**4 + h*a**2 = 0.
-1, 0, 1
Let q(d) be the third derivative of -d**9/53760 - d**8/26880 + d**7/2016 - d**6/720 - d**5/30 + 6*d**2. Let r(h) be the third derivative of q(h). Factor r(f).
-(f + 2)*(3*f - 2)**2/8
Let h(c) = c**4 + c**3 - c**2 + 2*c - 1. Let p(j) = 3*j**4 + 18*j**3 - 21*j**2 + 18*j - 6. Let k(s) = -6*h(s) + p(s). Determine t, given that k(t) = 0.
0, 1, 2
Factor 3 + 4 + 39*v + 13 + 16*v**2 + 21*v + 9*v**2.
5*(v + 2)*(5*v + 2)
Let k be 0 - (-2)/6*5562/36. Let h = k + -50. Factor -h*i**3 + 0*i + 1/2*i**5 + 0 + i**2 + 0*i**4.
i**2*(i - 1)**2*(i + 2)/2
Suppose r = -25 + 28. Factor 0*d**2 + 0*d + 2/9*d**4 - 2/9*d**r + 0.
2*d**3*(d - 1)/9
Factor -1/7*l**3 - 20*l - 92/7 - 7*l**2.
-(l + 1)*(l + 2)*(l + 46)/7
Let w(t) be the third derivative of t**9/113400 + t**8/12600 + t**7/4725 + 5*t**4/24 + 14*t**2. Let c(b) be the second derivative of w(b). Factor c(o).
2*o**2*(o + 2)**2/15
Factor 3*t**2 - 957*t**4 - 5*t**3 + 0*t - 4 + 958*t**4 + 5*t.
(t - 4)*(t - 1)**2*(t + 1)
Determine v, given that 2/3*v + 0 - 8/9*v**2 - 4/9*v**3 - 2/9*v**5 + 8/9*v**4 = 0.
-1, 0, 1, 3
Let g(u) be the second derivative of u**6/360 - u**4/24 + u**3/9 + 11*u**2 + 8*u. Let p(b) be the first derivative of g(b). Suppose p(o) = 0. What is o?
-2, 1
Let -72 - 44*o + 11*o**2 + 9*o**2 - 24*o**2 = 0. What is o?
-9, -2
Let k(m) = -2*m - 5. Let n be k(-8). Suppose 0 = v - 1 - n. What is c in v*c**3 - 5 - 7*c - 4 + 7*c**2 + 2 + 5 = 0?
-1, -1/4, 2/3
Let a(t) = t + 1. Let z(d) be the second derivative of d**5/4 + 17*d**4/12 + 4*d**3 + 6*d**2 + d. Let k(w) = -24*a(w) + 3*z(w). What is b in k(b) = 0?
-2, -1, -2/5
Find o such that -3/4*o**2 - 3675 - 105*o = 0.
-70
Let a = -51 - -58. Solve -27 + 6*y**2 - a*y**2 + 9*y + 3*y**3 + 16*y**2 = 0 for y.
-3, 1
Let f be (60/25)/(4/5). Solve -16/19 + 10/19*o**f - 40/19*o + 4/19*o**2 = 0 for o.
-2, -2/5, 2
Let r = -2643/2 - -7945/6. Suppose 7/9*x**2 + x**4 + r*x - 16/9 - 1/9*x**5 - 23/9*x**3 = 0. Calculate x.
-1, 1, 4
Let x = -6013 - -2411214/401. Let o = 18041/1604 + x. What is z in -18*z**3 - 3/2 + 12*z**4 + o*z - 69/4*z**2 = 0?
-1, 1/4, 2
Let y = 321098 - 66467456/207. Let u = 24/23 + y. Factor u*a**3 + 0 + 8/9*a - 8/9*a**2.
2*a*(a - 2)**2/9
Let b(d) = -8*d**4 + 17*d**3 - 13*d**2 + 4*d. Let j(r) = -r**3 + r**2. Let m(t) = -b(t) + 3*j(t). Let m(n) = 0. Calculate n.
0, 1/2, 1
Suppose -8*v + 12 = -5*v. Let a(x) = x**3 - 4*x**2 + x + 2. Let o be a(v). Find l such that -6 + 10*l**2 + 4 - o*l**3 + 0 - 2*l = 0.
-1/3, 1
Factor -15*t + t**2 + 450 - 5*t - 213 + 3*t**2 - 213.
4*(t - 3)*(t - 2)
Let q = -5087 + 25443/5. Factor 8/5*j**4 + 5*j**3 + 1/5*j**5 + 38/5*j**2 + q + 28/5*j.
(j + 1)**2*(j + 2)**3/5
Suppose -3*l + 4 = -2. Let q be l/3*-1 + 858/585. Let 0 - 12/5*a + q*a**2 = 0. Calculate a.
0, 3
Let o(m) be the first derivative of m**7/5040 - m**5/720 + 11*m**3/3 + 10. Let y(f) be the third derivative of o(f). Let y(b) = 0. What is b?
-1, 0, 1
Let l = -4385/3 - -1510. Let z = -47 + l. Factor 2/3*t**3 - z + 10/3*t - 8/3*t**2.
2*(t - 2)*(t - 1)**2/3
Let r be (4/63)/((-18)/(-81)). Factor -9/7*c**2 + 5/7*c**3 - 1/7*c**4 + c - r.
-(c - 2)*(c - 1)**3/7
Let j(r) be the third derivative of 7*r**8/960 + r**7/60 + r**6/60 + r**5/5 + 11*r**2. Let q(m) be the third derivative of j(m). What is b in q(b) = 0?
-2/7
Let m(y) be the third derivative of -1/120*y**6 + 0 + 9*y**2 + 0*y**3 - 1/20*y**5 + 0*y - 1/12*y**4. Factor m(t).
-t*(t + 1)*(t + 2)
Let k(o) = -5*o**3 - 23 + 11 + 5*o - 3*o**2 - 4*o**2 + 7. Let x(w) = -4*w**3 - 6*w**2 + 4*w - 4. Let n(c) = -5*k(c) + 6*x(c). What is f in n(f) = 0?
-1, 1
Let z(k) be the second derivative of -3/8*k**4 + 0 + 9/2*k**2 - 15*k - 7/4*k**3. Determine v so that z(v) = 0.
-3, 2/3
Let l(a) be the first derivative of 4*a**5/45 + 5*a**4/6 + 2*a**3 + 10*a**2/9 - 188. Let l(u) = 0. Calculate u.
-5, -2, -1/2, 0
Let b = 179 - 314. Let k be (-72)/b - ((-7)/(-5) + -1). Factor 4/15 + k*l**2 - 2/5*l.
2*(l - 2)*(l - 1)/15
Factor 2/21*m**5 + 0 + 4/21*m**4 - 8/7*m**3 - 80/21*m**2 - 64/21*m.
2*m*(m - 4)*(m + 2)**3/21
Let c(p) be the first derivative of p**6/6 - p**5/5 - p**4/4 + p**3/3 - 161. Factor c(q).
q**2*(q - 1)**2*(q + 1)
Let t(l) be the first derivative of -1 - 4/27*l**3 - 100/9*l - 20/9*l**2. Find a such that t(a) = 0.
-5
Let -1/2*o**2 - 90*o - 4050 = 0. What is o?
-90
Let g(p) be the first derivative of -4*p**5/5 + 12*p**4 - 36*p**3 - 8*p**2 + 144*p - 165. Factor g(k).
-4*(k - 9)*(k - 2)**2*(k + 1)
Let l(x) be the second derivative of -18*x**6/5 - 5*x**5 + 2*x**4/3 - 2*x - 161. Find j, given that l(j) = 0.
-1, 0, 2/27
Let t(h) = -51*h**2 - 53*h + 1. Let b be t(