 96*f**2 - 234*f - 1. Determine a, given that x(a) = 0.
1, 8/7
Let t(v) be the first derivative of -v**5 - 5*v**4/4 + 5*v**3/3 + 5*v**2/2 - 116. Find l, given that t(l) = 0.
-1, 0, 1
Let f be 9/(-81) - (-188)/72. Suppose -f*n**3 + 15/2*n**2 + 0*n - 10 = 0. What is n?
-1, 2
Let f be (-680)/90 - (-12 + 4). Let o(q) be the first derivative of -2/27*q**3 + f*q - 1/9*q**2 + 7. Solve o(v) = 0 for v.
-2, 1
Let f(n) = 7*n**2 - 30*n + 11. Let s(z) = 15*z**2 - 61*z + 22. Let i(m) = 13*f(m) - 6*s(m). Let o(x) = -25*x + 10. Let v(d) = -5*i(d) + 4*o(d). Factor v(u).
-5*(u - 3)*(u - 1)
Let w(i) be the first derivative of i**6/24 - i**5/4 - 3*i**4/16 + 17*i**3/12 - 5*i**2/4 - 349. Let w(l) = 0. What is l?
-2, 0, 1, 5
Let i be (-12)/((-18)/(-4)*5/15). Let s be (144/(-6))/i + 0/2. Determine w, given that 0*w**2 + 0 - 3/7*w + 3/7*w**s = 0.
-1, 0, 1
Let o be 1*((-8)/(-1) + 1). Let x be (((-210)/o)/(-7))/2. Factor 1/3*j**2 + x*j + 4/3.
(j + 1)*(j + 4)/3
Let g = 660 + -2637/4. Let z(b) be the second derivative of 1/16*b**4 - g*b**2 + 10*b + 0 - 1/8*b**3. Suppose z(i) = 0. What is i?
-1, 2
Let s be 72/(-84) - (-495)/504. Solve -1/8*y**2 + 3/8*y**3 - 3/8*y - s*y**4 + 1/4 = 0.
-1, 1, 2
Suppose -5*z**3 + 0 + 1/2*z**2 + 0*z = 0. What is z?
0, 1/10
Let h(d) be the first derivative of 3*d**5/100 + d**4 + 10*d**3 + 25*d - 31. Let t(k) be the first derivative of h(k). Let t(n) = 0. What is n?
-10, 0
Let d(y) be the third derivative of -y**8/6720 + y**7/1260 - y**6/540 - y**5/6 + 2*y**2. Let m(p) be the third derivative of d(p). Factor m(n).
-(3*n - 2)**2/3
Suppose -6*n + 5*n + 5*c = 12, 3*n - 24 = -5*c. Factor -7*p - 8*p - 8*p + 15*p**3 + 5*p**4 + n*p.
5*p*(p - 1)*(p + 2)**2
Let d be (0 - 3/(-1))*6. Let h be d - 19 - (-14)/10. Factor -1/5*w**2 - h + 3/5*w.
-(w - 2)*(w - 1)/5
Suppose 106 = -4*y - 2*w, 3*y + 0*w - w + 87 = 0. Let p = 30 + y. Suppose 3*v + 75*v**2 - v**3 - 77*v**p + 0*v = 0. Calculate v.
-3, 0, 1
Let x(p) be the third derivative of 0*p**3 - 1/6*p**5 - 1/6*p**4 + 0*p + 0 - 1/20*p**6 + 1/105*p**7 + 1/168*p**8 - 12*p**2. Factor x(t).
2*t*(t - 2)*(t + 1)**3
Let k = 1608/5621 + -2/5621. Find p such that 4*p + 14 + k*p**2 = 0.
-7
Let w(m) be the first derivative of -10*m**3/21 - 18*m**2/7 - 26*m/7 - 61. Factor w(t).
-2*(t + 1)*(5*t + 13)/7
Let d(u) be the first derivative of -5*u**3/3 + 10*u**2 + 60*u - 51. Suppose d(p) = 0. Calculate p.
-2, 6
Suppose 3*v = -v + 36. Factor 4*b**2 - 2 - 4*b - 1 - v + 12*b.
4*(b - 1)*(b + 3)
Suppose 5*a = 4*b + 17 + 6, 9 = 3*b. Let d(k) = k + 6. Let h be d(-6). Factor v**2 + h - 3*v - 3 + a - v.
(v - 2)**2
Suppose 3*z - 7*z + 5*v = 63, -z - 3*v - 37 = 0. Let c = z + 27. Suppose -18*n**3 + 21*n**2 - 80*n**4 + 3*n**2 - 32*n**c + 2*n**2 - 4*n = 0. What is n?
-2, -1, 0, 1/4
Let k be (-3 - -1)*(-1)/1. Let u = -123 - -126. Factor -u*h**k + 5*h**2 + 5*h**4 + 9*h**3 + 2*h**4.
h**2*(h + 1)*(7*h + 2)
Let m be (-216)/(-588)*112/48. Determine o so that 4/7*o + m - 2/7*o**2 = 0.
-1, 3
Factor -112 - 3*r**2 + 22*r + 14*r + 42 + 37.
-3*(r - 11)*(r - 1)
Let i(x) be the first derivative of 2*x**3/15 + 5*x**2 - 391. Solve i(m) = 0 for m.
-25, 0
Let n be 7 + -3*85/45. Let c(t) be the first derivative of 6 + 4*t**2 - 2*t**4 - n*t**3 + 0*t + 4/5*t**5. Solve c(h) = 0 for h.
-1, 0, 1, 2
Let z(p) = 389*p + 2336. Let a be z(-6). Factor -15/8*d**a + 3/8*d**3 + 9/4*d + 0.
3*d*(d - 3)*(d - 2)/8
Let l = 6796/3 - 2260. Find d such that 2/3*d**2 - l*d + 32/3 = 0.
4
Factor 0 - 34/9*t**5 + 0*t**2 - 38/9*t**4 + 0*t - 4/9*t**3.
-2*t**3*(t + 1)*(17*t + 2)/9
Let p(s) be the first derivative of -s**3/15 - 31*s**2/5 + 588. Factor p(v).
-v*(v + 62)/5
Let m(s) be the first derivative of -3*s**4/4 + 20*s**3 + 3*s**2/2 - 60*s + 189. Factor m(w).
-3*(w - 20)*(w - 1)*(w + 1)
Let v(p) be the third derivative of -p**5/60 - p**4/3 - 8*p**3/3 - 8*p**2 + 1. Let t be v(-4). Determine u, given that -8/5 + t*u + 2/5*u**2 = 0.
-2, 2
Let q(v) be the third derivative of 7*v**6/120 - v**5/10 + 4*v**3/3 + 21*v**2. Let b(f) = -4*f**3 + 3*f**2 - 4. Let k(j) = 5*b(j) + 3*q(j). Factor k(c).
(c - 2)**2*(c + 1)
Suppose -221*p = 127 - 569. Find u such that 2/7 - 6/7*u**p + 4/7*u = 0.
-1/3, 1
Let v(h) be the third derivative of h**6/1440 + h**5/160 + 5*h**3/6 - 8*h**2. Let p(n) be the first derivative of v(n). Find b such that p(b) = 0.
-3, 0
Let s(w) be the third derivative of -w**7/1260 + 11*w**6/720 - w**5/40 - 119*w**4/144 - 49*w**3/18 - 53*w**2 - 2. Factor s(d).
-(d - 7)**2*(d + 1)*(d + 2)/6
Let n(j) = -5*j**3 + 13*j - 30. Let f(i) = 27*i**3 + 2*i**2 - 66*i + 150. Let l(p) = 2*f(p) + 11*n(p). Factor l(q).
-(q - 5)*(q - 2)*(q + 3)
Let p(w) = 5*w**2 - 25*w + 10. Let k(v) = v. Suppose 5*o + 3*d = 2*o + 15, -24 = -4*o - 5*d. Let j(t) = o*p(t) + 10*k(t). Factor j(m).
5*(m - 2)*(m - 1)
Let j(s) = -2*s**2 - s - 1. Let w(m) = 5*m**4 - 40*m**3 + 116*m**2 - 162*m + 78. Let l(a) = -2*j(a) + w(a). Let l(r) = 0. What is r?
2
Let m = -186 - -182. Let d be m*(-3)/(-27)*-1. Suppose 2/9*j**2 + 4/9*j - d*j**3 + 0 - 2/9*j**4 = 0. Calculate j.
-2, -1, 0, 1
Let z(d) be the first derivative of -39*d**4/20 - 24*d**3/5 + 129*d**2/10 - 18*d/5 - 194. Suppose z(f) = 0. What is f?
-3, 2/13, 1
Let g(w) = -5*w**2 + 31*w - 46. Let d(k) = 6*k**2 - 30*k + 42. Let l(c) = 2*d(c) + 3*g(c). Solve l(o) = 0 for o.
2, 9
Let j = -627 + 633. Let a(v) be the first derivative of 3/10*v**j - 1/5*v**3 - 21/25*v**5 + 0*v**2 + 0*v - 2 + 3/4*v**4. Factor a(b).
3*b**2*(b - 1)**2*(3*b - 1)/5
Let n(x) be the first derivative of -x**7/1400 + x**6/120 - 4*x**3/3 + 16. Let d(m) be the third derivative of n(m). Determine w so that d(w) = 0.
0, 5
Let r(l) be the third derivative of 17*l**2 + 0 - 5/8*l**4 + 0*l**3 - 1/20*l**5 + 0*l. Suppose r(f) = 0. What is f?
-5, 0
Let -236/13*s + 238/13 - 2/13*s**2 = 0. Calculate s.
-119, 1
Let n be (-4)/10 + ((-702)/120)/(-9). Let c(w) be the third derivative of 0 + 0*w + 1/20*w**5 - 4*w**2 + 1/2*w**3 + n*w**4. Suppose c(l) = 0. Calculate l.
-1
Find s such that 19 - 6*s - 2*s**2 - 33 + 34 = 0.
-5, 2
Let j be ((9 - 2)/1)/1. Let d = -3 + j. What is i in -i**4 - 4*i + 5*i**d - 6*i**2 - 2*i**4 = 0?
-1, 0, 2
Suppose -2*b - i = -176, 2*i = -0*i - 4. Let d = -87 + b. What is n in 4/13*n + 0 - 2/13*n**d = 0?
0, 2
Let h(q) = 48*q**3 + 40*q**2 + 16*q - 12. Let v(z) = z**2 - z + 1. Let b(p) = h(p) + 12*v(p). Factor b(k).
4*k*(k + 1)*(12*k + 1)
Factor 8*p + 14/3*p**2 + 0 + 2/3*p**3.
2*p*(p + 3)*(p + 4)/3
Suppose -y = -4*s + 11, -11*y + 8 = -2*s - 15*y. Let l(u) be the first derivative of -u**s + 4/13*u + 11 - 9/26*u**4 + 40/39*u**3. Let l(n) = 0. Calculate n.
2/9, 1
Let k(w) be the third derivative of 0*w**3 + 1/48*w**4 - 1/80*w**5 + 0 + 1/840*w**7 + 11*w**2 + 0*w**6 + 0*w. Factor k(h).
h*(h - 1)**2*(h + 2)/4
Let n(i) be the third derivative of 0 + 0*i**3 + 1/80*i**6 + 1/96*i**4 + 2*i**2 + 0*i - 1/210*i**7 + 1/1344*i**8 - 1/60*i**5. Factor n(u).
u*(u - 1)**4/4
Let k(t) be the second derivative of t**6/75 - 18*t**4/5 - 144*t**3/5 + 468*t. Factor k(a).
2*a*(a - 12)*(a + 6)**2/5
Suppose -27/7*s**3 + 3/7*s**4 + 6*s**2 + 0*s + 0 = 0. What is s?
0, 2, 7
Let j(v) be the second derivative of -7/240*v**5 - 1/12*v**3 + 0 - 23/144*v**4 - 6*v + 0*v**2. Factor j(r).
-r*(r + 3)*(7*r + 2)/12
Let r be 16/10*(-285)/6. Let j = 382/5 + r. Find b, given that -2/5*b + 2/5*b**3 + j - 2/5*b**2 = 0.
-1, 1
Suppose 72*z + 9/10*z**5 - 52/5*z**3 + 231/10*z**4 - 104/5 - 324/5*z**2 = 0. What is z?
-26, -2, 2/3, 1
Let q(h) be the first derivative of -h**3/9 - 3*h**2/2 - 8*h/3 - 54. Factor q(s).
-(s + 1)*(s + 8)/3
Suppose 5/2*y - 1 + 1/2*y**3 - 2*y**2 = 0. Calculate y.
1, 2
Let 66/5 - 45*s - 21/5*s**2 = 0. Calculate s.
-11, 2/7
Let j(w) be the second derivative of w**6/90 + w**5/30 - w**4/3 - 47*w**3/6 - 10*w + 2. Let l(u) be the second derivative of j(u). Factor l(y).
4*(y - 1)*(y + 2)
Let k(w) be the second derivative of w**4/18 + 17*w**3/9 - 28*w**2 - 291*w + 1. Find l, given that k(l) = 0.
-21, 4
Let g = 3/94 + 17/940. Let u(k) be the third derivative of -k**2 + 0*k**3 + 0 - g*k**5 + 1/4*k**4 + 0*k. Factor u(s).
-3*s*(s - 2)
Let o = -931/4 - -241. Factor 9/4*y**3 + 9*y + o*y**2 + 3.
3*(y + 1)*(y + 2)*(3*y + 2)/4
Let q(t) be the first derivative of -6*t**2 - 3*t**4 + 6*t**3 + 3*t + 24 + 3/5*t**5. Factor q(y).
3*(y - 1)**4
Let s(c) = -c**4 - 28*c**3 