(a).
(a - 15)*(a + 2)/2
Solve 5/2 - 3*s**2 + 1/2*s**4 + 2*s - 2*s**3 = 0 for s.
-1, 1, 5
Factor 20*w - 25*w**2 - 286*w**3 - 296*w**3 + 587*w**3.
5*w*(w - 4)*(w - 1)
Let f(q) be the third derivative of -q**7/280 - q**6/20 - q**5/8 + 9*q**3/2 + 11*q**2. Let t(o) be the first derivative of f(o). Factor t(v).
-3*v*(v + 1)*(v + 5)
Let m(t) = -t**3 - 6*t**2 - 2*t - 8. Suppose 3*j + 22 = 4. Let v be m(j). Let 5*a**2 + 4*a**2 - 5*a**2 + 4*a**v - 8*a**3 = 0. Calculate a.
0, 1
Let w(v) be the third derivative of v**7/280 + v**6/30 - v**5/8 - 11*v**3/6 - 10*v**2 + v. Let a(h) be the first derivative of w(h). Factor a(q).
3*q*(q - 1)*(q + 5)
Let d = -89 + 91. Solve -43 - 108 - 4*o**2 - 49 + 40*o + d*o**2 = 0 for o.
10
Let w be ((-221)/13)/(-2 - -1). Let u be w/(238/(-24)) - 2*-1. What is g in 4/7*g**2 + u*g + 2/7*g**3 + 0 = 0?
-1, 0
Let o(k) be the second derivative of k**5/60 + 25*k**4/18 + 625*k**3/18 + 3*k - 10. Find d, given that o(d) = 0.
-25, 0
Let r be 68/16 - 1/4. Suppose -4*n - 3*k + 5 = -r*k, 2*k = 2*n + 2. Factor -2 + 2 + p**4 - p**n + 0.
p**2*(p - 1)*(p + 1)
Determine z, given that -64/15*z**2 + 152/15*z + 68/15*z**4 + 32/15 - 106/15*z**3 - 2/3*z**5 = 0.
-1, -1/5, 2, 4
Let d(r) = -2 - 1 - 1 - r. Let o be d(-6). Find l, given that 2*l**o - 5*l**2 - 3*l - 1 + 0*l**2 - l**3 = 0.
-1
Let k(b) = b**3 + 7*b**2 + 9*b. Let i be k(-5). Suppose -3*p + i*y = 2*p + 25, y = 3*p + 5. Determine r, given that r**4 + p + 0 + r**3 - 2*r**4 = 0.
0, 1
Let r(n) = 3*n**5 - 12*n**4 + 7*n**3 + 11*n**2 - 10*n + 11. Let m(h) = -h**3 + h**2 + h + 1. Let f(c) = 5*m(c) - r(c). Solve f(d) = 0 for d.
-1, 1, 2
Let f(v) = -2*v**2 - 53*v + 147. Let x be f(-29). Factor 0*m + 1/3*m**x + 0.
m**2/3
Factor 11/8*u + 3/4 - 1/8*u**3 + 1/2*u**2.
-(u - 6)*(u + 1)**2/8
What is w in -6724/9 - 410*w + 18*w**3 + 2/9*w**4 + 3194/9*w**2 = 0?
-41, -1, 2
Let z(j) be the third derivative of 3*j**5/8 - 65*j**4/12 - 5*j**3 - 2*j**2 + 180*j. Suppose z(x) = 0. What is x?
-2/9, 6
Let d be 1*(46/(-207) + 6/81*3). What is c in -1/4*c**4 + 1/4*c**3 + d + 1/4*c**2 - 1/4*c = 0?
-1, 0, 1
Let c(z) be the second derivative of -z**6/50 + 3*z**5/5 - 37*z**4/20 + 9*z**3/5 + 10*z + 4. Factor c(g).
-3*g*(g - 18)*(g - 1)**2/5
Let d(k) = k**3 - 12*k**2 + 27*k + 5. Let j be d(9). Let b(q) be the second derivative of -q + q**2 - 1/6*q**4 + 4/3*q**3 + 0 - 2/5*q**j. What is x in b(x) = 0?
-1, -1/4, 1
Factor 0 - j**3 + 14/3*j + 1/3*j**2.
-j*(j + 2)*(3*j - 7)/3
Let a(z) = -5*z**4 + 165*z**3 + 40*z**2 - 135*z - 5. Let i(l) = l**4 + 2*l**3 - l**2 + 2. Let k(c) = -a(c) + 15*i(c). Find t, given that k(t) = 0.
-1, -1/4, 1, 7
Suppose -3*x**2 - 2*x**4 + 16*x**3 - 40*x - 14*x**2 + 12*x + 7*x**2 = 0. Calculate x.
-1, 0, 2, 7
Suppose -9*f - 288 = -f. Let d be 0 + 2 + f/21. Find v such that d*v - 2/7*v**2 + 2/7 - 2/7*v**3 = 0.
-1, 1
Let u(b) be the first derivative of b**6/15 + 3*b**5/10 + b**4/2 + b**3/3 - 16*b + 9. Let l(i) be the first derivative of u(i). Find d such that l(d) = 0.
-1, 0
Let -2/21*v**2 + 0*v + 0 - 2/21*v**3 = 0. Calculate v.
-1, 0
Let w(p) be the first derivative of -2*p**3/27 + 46*p**2/9 + 46. Factor w(b).
-2*b*(b - 46)/9
Let g = -404 + 202. Let j = 1417/7 + g. Let 0 + 0*v - 6/7*v**3 + j*v**2 = 0. Calculate v.
0, 1/2
Find p such that -2*p - p**5 + 5*p**5 - 30*p - 16*p**4 + 56*p**2 - 12*p**3 = 0.
-2, 0, 1, 4
Let f = 739/11 + -67. Let x(r) = -r**3 + 3*r**2 + 4*r + 2. Let c be x(4). Factor 0 + 2/11*m + f*m**c.
2*m*(m + 1)/11
Let m be ((-18)/168)/((-25)/(-35) - 1). Let n(s) be the first derivative of 13/12*s**3 + 7 + 3/2*s**2 + s + 1/20*s**5 + m*s**4. Find z such that n(z) = 0.
-2, -1
Let d = -539 - -539. Let z(a) be the third derivative of -6*a**2 + 0*a**3 + 1/210*a**5 + 0 + d*a - 1/84*a**4. Determine k, given that z(k) = 0.
0, 1
Let y(a) = -23*a**3 - 83*a**2 + 8*a. Suppose f = -5*g - 44, f - 36 = 4*g + 2*f. Let x(l) = 15*l**3 + 55*l**2 - 5*l. Let q(h) = g*x(h) - 5*y(h). Factor q(m).
-5*m**2*(m + 5)
Let k(h) be the second derivative of 0*h**3 - 1/2*h**2 + 33*h + 0 + 1/12*h**4. Factor k(v).
(v - 1)*(v + 1)
Let w be (98/28)/((-1)/(-2) + 0). Suppose -w*r = -2*r + 4*v - 31, -r - 13 = -4*v. Factor 4/7*h**r + 4/7*h**5 - 8/7*h**4 + 0*h + 0*h**2 + 0.
4*h**3*(h - 1)**2/7
Suppose 36*q**4 + 48 + 180*q - 12*q**5 - 74*q**2 - 123*q**3 - 10*q**2 + 45*q**4 = 0. Calculate q.
-1, -1/4, 2, 4
Let y = 13 - -2. Let o be -3 - (y + 4)/(10/(-2)). Solve 2/5*t - 4/5*t**2 - 2/5*t**5 + o*t**4 + 0*t**3 + 0 = 0 for t.
-1, 0, 1
Let v(s) be the second derivative of 3/8*s**5 + 11/8*s**3 + 26*s + 3/40*s**6 + 23/24*s**4 + 9/8*s**2 + 0 + 1/168*s**7. Solve v(h) = 0 for h.
-3, -1
Let k(w) be the second derivative of w**7/105 + w**6/60 - w**5/15 + 5*w**2 - w. Let i(l) be the first derivative of k(l). Suppose i(c) = 0. What is c?
-2, 0, 1
Let k be 58/12 + -3*(-6)/108. Let l(r) be the second derivative of 0*r**4 - 1/3*r**3 + 4*r + 0 + 0*r**2 + 1/10*r**k. Factor l(s).
2*s*(s - 1)*(s + 1)
Let u(p) be the first derivative of -7*p**5/5 + 10*p**4 - 24*p**3 + 16*p**2 - 20*p - 6. Let b(w) be the first derivative of u(w). Find v, given that b(v) = 0.
2/7, 2
Let l = 60 - 60. Let h be (14/12 - l)/((-28)/(-42)). Find b, given that 7/4*b**2 + 1/2*b**3 + 1/2 + h*b = 0.
-2, -1, -1/2
Factor 51*s**2 + 4*s**3 - 83*s**2 - 32*s + 4*s**2.
4*s*(s - 8)*(s + 1)
Suppose 70431 = -4*y + 70447. Find p such that 0*p + 0 + 1/8*p**5 + 1/2*p**2 - 1/8*p**y - 1/2*p**3 = 0.
-2, 0, 1, 2
Let z be (-344)/(-817)*((-27602)/(-8) + -1). Let v = z + -1452. What is q in 0 - 8/19*q - v*q**4 - 2/19*q**3 + 16/19*q**2 = 0?
-2, 0, 2/3, 1
Let q(z) be the third derivative of 2*z + 3*z**2 - 1/30*z**6 + 0 + 1/15*z**5 + 0*z**4 + 0*z**3. What is k in q(k) = 0?
0, 1
Let r = 311 - 203. Let c be (429/r - 3) + 22/(-99). Solve c*x + 0 + 3/4*x**3 - 3/2*x**2 = 0 for x.
0, 1
Factor -242/3*m**2 + 24 - 184/3*m + 14/3*m**3.
2*(m - 18)*(m + 1)*(7*m - 2)/3
Let h(j) be the first derivative of -j**6/54 + 59*j**5/45 - 551*j**4/18 + 778*j**3/3 - 2025*j**2/2 + 1875*j - 703. What is b in h(b) = 0?
3, 25
Solve 11470678/3 + 358*u**2 - 2/3*u**3 - 64082*u = 0 for u.
179
Let r = -571/310 - -139/62. Determine m so that 16/5 + 8/5*m**4 - r*m**3 + 8/5*m - 4*m**2 - 2/5*m**5 = 0.
-1, 2
Let a(l) be the third derivative of -l**7/10 - 9*l**6/20 - 2*l**5/5 - 2*l**2 + 219*l. What is x in a(x) = 0?
-2, -4/7, 0
Let h be (-4)/8*(1 + -77). Let q = -227/6 + h. Suppose 2/3*s**4 + q*s**5 + s**3 + 2/3*s**2 + 1/6*s + 0 = 0. Calculate s.
-1, 0
Let k(s) = -7*s**4 + 4*s**3 + 17*s**2 + 6*s - 4. Let n(q) = -15*q**4 + 9*q**3 + 35*q**2 + 13*q - 8. Let c(j) = 5*k(j) - 2*n(j). Solve c(i) = 0 for i.
-1, 2/5, 2
Let g = -3176 - -3176. Let w(u) be the third derivative of 1/6*u**4 - 10*u**2 + 0 + g*u**3 + 1/30*u**5 + 0*u. Solve w(c) = 0 for c.
-2, 0
Let p(u) be the third derivative of 1/330*u**5 + 0 + 0*u + 1/66*u**4 - 4*u**2 + 0*u**3. What is k in p(k) = 0?
-2, 0
Let l(j) be the third derivative of -1/3*j**4 + 0 + 4/3*j**3 + 1/30*j**5 - j - j**2. Find x such that l(x) = 0.
2
Let t(j) be the second derivative of j**4/30 + j**3/5 - 2*j**2 + j + 10. Factor t(a).
2*(a - 2)*(a + 5)/5
Let u = 10 + -7. Let r(c) be the first derivative of 4 - 5 - 3*c + u + c**3. Let r(z) = 0. What is z?
-1, 1
Let b(c) be the third derivative of -c**7/420 + c**6/80 - c**5/40 + c**4/48 - 47*c**2. Factor b(j).
-j*(j - 1)**3/2
Let k(s) be the second derivative of -s**6/1620 + s**5/90 - s**4/12 - 2*s**3 + 10*s. Let l(r) be the second derivative of k(r). Find a, given that l(a) = 0.
3
Suppose -8*o + 36 = 4. Let m be 130/440 + 1/o. Factor -4/11 + m*n - 2/11*n**2.
-2*(n - 2)*(n - 1)/11
Let b be (-7)/(-7 - 7/(-2)). Let -15/2*g**4 + 5/2*g**3 - 5/2*g**5 - 10 + 0*g + 35/2*g**b = 0. Calculate g.
-2, -1, 1
Let 5*g**3 - 4*g + 0*g**5 - 91*g**4 - 4*g**5 - g**5 + 90*g**4 + 5*g**2 + 4*g**5 - 4 = 0. What is g?
-2, -1, 1, 2
Let k(h) be the first derivative of -h**3/18 + 2*h/3 + 73. Let k(b) = 0. Calculate b.
-2, 2
Let k be 12/(2 + 15/(-10)). Suppose -18*b**3 + 116*b + 198*b**3 + 228*b**2 - k*b + 12 = 0. What is b?
-3/5, -1/3
Let z be (66/(-55)*1)/(-1). Factor 4/5*o - z + 2/5*o**2.
2*(o - 1)*(o + 3)/5
Let z(b) = -16*b**3 + 132*b**2 - 261*b + 16. Let q(n) = -32*n**3 + 263*n**2 - 523*n + 32. Let m(r) = -3*q(r) + 5*z(r). Factor m(t).
(t - 4)**2*(16*t - 1)
Let r = -356 - -360. Let g(o) be the third derivative