(v).
-4*(v - 3)**2*(v - 2)/5
Let l be ((-65)/(-5) - (21 - 11)) + -1*1. Let k = -4 - -6. Suppose 0*f**k + 1/2*f**5 + 0*f + 0 + 2*f**4 + l*f**3 = 0. What is f?
-2, 0
Let z(l) = l**2 + l - 3. Let i(s) = -20*s**2 - 86*s + 124. Let w(v) = -2*i(v) - 36*z(v). Find p, given that w(p) = 0.
-35, 1
Let n(r) be the second derivative of 0*r**2 + 2/3*r**3 - 41/10*r**5 - 12*r + 3/2*r**4 + 0 + 2*r**6. Solve n(s) = 0 for s.
-2/15, 0, 1/2, 1
Suppose 100*g = 41*g + 55*g. What is x in g - x**2 + x + 1/4*x**3 = 0?
0, 2
Suppose -5*p + 35 = 5*h, 2*p - 11 = -4*h + 9. Solve 35*x + 6*x**3 - p*x**3 - 7*x**3 + 30 = 0 for x.
-2, -1, 3
Let j(o) be the second derivative of -o**7/84 + 7*o**6/15 - 27*o**5/40 - 10*o - 5. Factor j(m).
-m**3*(m - 27)*(m - 1)/2
Let p(w) be the second derivative of w**6/30 + w**5/4 + w**4/12 - 7*w**3/2 - 9*w**2 - 116*w - 2. Factor p(i).
(i - 2)*(i + 1)*(i + 3)**2
Suppose -4*x + 46 = -3*x - 4*v, -4*x + 108 = 3*v. Factor 5*y**3 - 5*y**2 + 103*y - 60 - x*y**2 - 23*y.
5*(y - 3)*(y - 2)**2
Let r(h) be the second derivative of -h**5 - 8*h**4/3 + 22*h**3/3 + 28*h**2 - 12*h + 4. Determine z so that r(z) = 0.
-2, -1, 7/5
Factor 0 - 38/3*n**2 + 8*n + 10/3*n**3.
2*n*(n - 3)*(5*n - 4)/3
Let t(u) be the second derivative of u**6/50 - 129*u**5/50 + 1849*u**4/20 + 24*u. Factor t(z).
3*z**2*(z - 43)**2/5
Suppose -5 = j - i + 44, 5*i - 147 = 3*j. Let m = j - -49. Find y such that -2/5*y**4 + m*y + 0*y**3 + 2/5*y**2 + 0 = 0.
-1, 0, 1
Let a = 2267/1337 + -242/191. Factor 0*r**3 + 6/7*r + 9/7*r**2 + 0 - a*r**4.
-3*r*(r - 2)*(r + 1)**2/7
Let b = 148 + -93. Let v = 58 - b. Factor 0*i**2 + 0 + 1/3*i - 1/3*i**v.
-i*(i - 1)*(i + 1)/3
Let z(p) be the first derivative of 2*p**3/33 - 12*p**2/11 + 2*p - 165. Let z(y) = 0. Calculate y.
1, 11
Let h(t) = 211*t + 1691. Let s be h(-8). Factor -4/9*a - 4/3*a**s + 0 + 16/9*a**2.
-4*a*(a - 1)*(3*a - 1)/9
Let k(j) = -3*j**3 + 23*j**2 - 17*j + 23. Let t be k(7). Factor 0 + 0*d + 2/7*d**4 - 2/7*d**3 + 0*d**t.
2*d**3*(d - 1)/7
Let x(k) be the second derivative of -k**5/190 - 17*k**4/114 - 14*k**3/19 - 66*k - 2. Solve x(o) = 0 for o.
-14, -3, 0
Let g(v) = v - 6. Let u be g(10). Let m(q) = 0*q**4 - q**2 - 9 + q**u + 7. Let x(j) = 2*j**4 - 2*j**2 - 3. Let n(h) = 3*m(h) - 2*x(h). Factor n(k).
-k**2*(k - 1)*(k + 1)
Let c be ((-18)/7)/(9/(-63)). Factor k + 17*k + 9 + 3*k**2 + c.
3*(k + 3)**2
Let b(w) be the second derivative of 0 + w + 0*w**5 + 1/12*w**4 - 1/30*w**6 + 0*w**3 + 0*w**2. Factor b(g).
-g**2*(g - 1)*(g + 1)
Let c be (2272/(-60))/(6*2/18). Let d = c + 57. Factor 24/5*i**2 + 16/5 + 8/5*i**3 + d*i**4 + 32/5*i.
(i + 2)**4/5
Suppose 3*i + 150 = -48. Let b = -66 - i. Factor 3/4*w**2 - 1/4*w + b.
w*(3*w - 1)/4
Suppose -c = -2*n - 6*c - 26, -n = 3*c + 14. Let f = n - -11. Find a, given that 3/2*a**3 + f*a**2 + 0 + 3/2*a = 0.
-1, 0
Let v be (14/(-4))/(42/(-24)*1). Factor -2/5*n**v - 12/5*n - 18/5.
-2*(n + 3)**2/5
Let 7/4*w**3 - 1/2*w**2 - 1/4*w**5 + 2 + 0*w**4 - 3*w = 0. What is w?
-2, 1, 2
Suppose 2*a + 12 = 0, -67*s + 2*a = -70*s. Factor -16/19*x**s - 2/19*x**5 + 0*x + 0 - 12/19*x**2 - 26/19*x**3.
-2*x**2*(x + 1)**2*(x + 6)/19
Let j(d) = -2*d**3 + 3*d**2 + 23*d - 6. Let v(t) = -2*t. Let g(y) = j(y) + 6*v(y). Let g(m) = 0. Calculate m.
-2, 1/2, 3
Let q(f) be the first derivative of -1/27*f**3 - 11/2*f**2 + 8 - 1/270*f**5 - 1/54*f**4 + 0*f. Let u(z) be the second derivative of q(z). Factor u(h).
-2*(h + 1)**2/9
Determine i so that -2/7*i**3 + 6/7*i**2 + 10/7*i + 4/7 - 2/7*i**4 = 0.
-1, 2
What is h in -1/4*h + 1/4*h**3 - 1/2*h**2 + 1/2 = 0?
-1, 1, 2
Factor -30 - 150*s**3 + 3 + 4*s**5 + 65*s**4 + 13*s**2 - 3*s**2 + 145*s + s**5 - 48.
5*(s - 1)**3*(s + 1)*(s + 15)
Let 12/7*s**4 + 18/7 + 3/7*s + 0*s**3 - 3/7*s**5 - 30/7*s**2 = 0. Calculate s.
-1, 1, 2, 3
Suppose 3*f + 3*f = 12. Determine n so that 11*n - 14*n**2 + f*n**2 - 2*n - 5 + 8 = 0.
-1/4, 1
Let i(p) be the first derivative of p**4/14 + 8*p**3/21 + 4*p**2/7 + 115. Factor i(b).
2*b*(b + 2)**2/7
Let k(j) = -8*j - 5*j + 3*j**2 + 10*j. Let v(y) = y**3 - 2*y**2 + 4*y. Let d(z) = -4*k(z) - 3*v(z). Factor d(u).
-3*u**2*(u + 2)
Let m(s) be the third derivative of 0*s**4 + s**2 + 0*s**3 - 55/84*s**7 - 1/6*s**5 + 15/56*s**8 - 2/3*s**6 + 0 + 0*s. Solve m(h) = 0.
-1/4, -2/9, 0, 2
Let u(s) be the third derivative of s**6/150 - 8*s**5/75 + 7*s**4/30 + 4*s**2 + 26*s. What is x in u(x) = 0?
0, 1, 7
Factor 325*n**2 - 1903 - 4760*n - 4*n**3 - 4*n**3 + 3*n**3 - 15437.
-5*(n - 34)**2*(n + 3)
Suppose -5*k - k = 24. Let r(y) = -55*y**5 - 115*y**4 - 35*y**3. Let s(n) = -9*n**5 - 19*n**4 - 6*n**3. Let g(p) = k*r(p) + 25*s(p). Factor g(z).
-5*z**3*(z + 1)*(z + 2)
Let v = 23437 + -23434. Let -13/6*f**v + 8/3*f - 2/3 + 2/3*f**4 + 1/2*f**2 = 0. Calculate f.
-1, 1/4, 2
Let n be (18/(-12))/(6/(-8)). Let i be (2/3)/(38/171). Factor 3*o + 0*o**i + 0 - 3/2*o**4 + 9/2*o**n.
-3*o*(o - 2)*(o + 1)**2/2
Suppose 0*p - 12 = -4*p - 2*j, 4*j = 2*p - 26. Factor 5*h + h - p*h**3 + 5*h**2 - 5*h**4 - h.
-5*h*(h - 1)*(h + 1)**2
Let m(z) be the second derivative of 49*z**5/20 + 7*z**4/4 + z**3/2 + 8*z**2 + 39*z. Let r(i) be the first derivative of m(i). Find x such that r(x) = 0.
-1/7
Let h(f) be the first derivative of -3*f**5/25 + 3*f**4/10 + 3*f**3/5 + 132. Determine q, given that h(q) = 0.
-1, 0, 3
Let f(z) be the first derivative of -2*z + 1/2*z**4 - z**2 + 2/3*z**3 + 19. Factor f(n).
2*(n - 1)*(n + 1)**2
Let d(q) be the first derivative of 8 + 26*q**2 - 2/3*q**3 - 338*q. Suppose d(g) = 0. Calculate g.
13
Factor -6 + 19/3*l**2 - 1/3*l**4 - 17/3*l**3 + 17/3*l.
-(l - 1)**2*(l + 1)*(l + 18)/3
Suppose -t = 3*o - 6, -3*t = 4*o - 46 + 33. Suppose -4/3*s**2 + 16/9 + 16/9*s - 8/9*s**t + 4/9*s**4 = 0. Calculate s.
-1, 2
Let f = -1108 - -1114. Let a(s) be the first derivative of 1/15*s**3 + 0*s**2 - f - 4/5*s. Factor a(n).
(n - 2)*(n + 2)/5
Let x(h) be the third derivative of -1/336*h**8 + 7*h**2 + 0*h**4 + 0*h**3 + 0 + 1/120*h**6 + 1/210*h**7 - 1/60*h**5 + 0*h. Factor x(o).
-o**2*(o - 1)**2*(o + 1)
Let j(z) be the second derivative of z**4/12 + 7*z**3/6 + 11*z**2/2 + 7*z. Let d be j(-6). Factor 3 - d*u + 3*u**2 + 0*u**2 - u.
3*(u - 1)**2
Let y(n) = 5*n**4 + n**3 - n - 1. Let b(g) = 1367636*g**4 + 1293706*g**3 - 72594*g**2 + 1323*g - 9. Let j(r) = -4*b(r) + 4*y(r). Factor j(x).
-4*(x + 1)*(111*x - 2)**3
Suppose 0 = -9*h - 0*h. Let w(p) be the second derivative of 0 + h*p**3 + p - 3/10*p**5 + 1/6*p**4 + 0*p**2 + 1/5*p**6 - 1/21*p**7. Factor w(z).
-2*z**2*(z - 1)**3
Suppose 0 = -q - 4*n + 23, 5*q = -0*q + 5*n - 10. What is j in 26*j - 8*j + 6 - 3*j - 3*j**4 + 9*j**2 - 3*j**q = 0?
-1, 2
Let i(d) be the second derivative of d**6/10 - 19*d**5/4 + 184*d**4/3 + 128*d**3/3 - 99*d. Find u such that i(u) = 0.
-1/3, 0, 16
Let k = 2002/53 + -7955/212. Let i = -1 + 1. Determine g, given that i*g - k*g**2 + 1 = 0.
-2, 2
Let g be ((9/2)/(-9))/((-2)/1636). Let m = -3665/9 + g. Factor -2/9*d**3 - 10/9*d**2 - m*d - 8/9.
-2*(d + 1)*(d + 2)**2/9
Let l(j) be the third derivative of j**5/20 + j**4 + 15*j**3/2 - 29*j**2 + j. Factor l(x).
3*(x + 3)*(x + 5)
Let x(h) be the third derivative of -h**5/210 - h**4/12 + 6*h**3/7 + h**2 - 3*h. Factor x(q).
-2*(q - 2)*(q + 9)/7
Solve -2*s + 33/4 - 1/4*s**2 = 0 for s.
-11, 3
Let a = 54 + -77. Let k = -28 - a. Let o(m) = 8*m**4 + 23*m**3 + 24*m**2 + 10*m + 1. Let f(d) = d**5 - d**3 - d - 1. Let g(p) = k*o(p) - 5*f(p). Factor g(v).
-5*v*(v + 1)**2*(v + 3)**2
Let h(q) be the first derivative of q**3/21 + q**2/14 - 13. Solve h(x) = 0 for x.
-1, 0
Determine v, given that 5*v**3 + 89*v**2 + 0*v**3 + 427*v**2 + 24*v**2 = 0.
-108, 0
Let k(l) be the second derivative of -l**4/30 - 32*l**3/15 + 33*l**2/5 - l - 143. Determine u so that k(u) = 0.
-33, 1
Suppose 6*c - 5 = c, 3*c + 127 = 5*f. Suppose 0 = -f*a + 25*a + 3. Factor 1/4*u**a - 1/4*u - 1/4 + 1/4*u**2.
(u - 1)*(u + 1)**2/4
Let q(v) be the third derivative of -v**5/300 + v**4/15 - 7*v**3/30 - 56*v**2 + 1. Solve q(s) = 0 for s.
1, 7
Let a(c) be the third derivative of c**6/1200 + c**5/600 + 41*c**2. Suppose a(x) = 0. What is x?
-1, 0
Let l(w) be the first derivative of -2/21*w**3 + 3/7*w - 1/14*w**2 + 4. Solve l(z) = 0 for z.
-3/2, 1
Let y(m) be the second derivative of m**6/6 - 9*m**5/4 + 55*m**4/6 - 80*m**2 + 34*m + 1. Determine k so that y(k) = 0.
-1, 2, 4
Let y(j) be the