c) be the second derivative of x(c). Factor u(s).
s**3*(s + 2)*(2*s + 1)/7
Let l(k) be the second derivative of -k**4/24 - 139*k**3/12 + 35*k**2 + k - 185. Factor l(m).
-(m - 1)*(m + 140)/2
Let m = -13123 + 13123. Let n(d) be the second derivative of -6*d**3 + m + 1/4*d**4 - 21*d + 54*d**2. Let n(u) = 0. What is u?
6
Suppose -3*k + u - 6*u + 34 = 0, 3*u - 30 = -5*k. Suppose 42*b - 47*b - k = -3*p, -p - 5*b + 1 = 0. Factor -1/4*j**2 - p + j.
-(j - 2)**2/4
Let x be 11 - 165/30*2. Let k(r) be the second derivative of -2/3*r**3 - 1/42*r**4 - 7*r**2 + x + 10*r. Factor k(f).
-2*(f + 7)**2/7
Factor 10*r**2 + 1812*r + r**2 - 29*r**2 + 20*r**2 + 2*r**2.
4*r*(r + 453)
Let n(v) be the first derivative of 12*v**2 - 36*v + v**3 - 11 - 3/4*v**4. Solve n(b) = 0.
-3, 2
Let a be (176/(-198))/(338/(-39)). Let u(f) be the first derivative of -3 - 1/13*f**2 - a*f**3 + 4/13*f + 1/26*f**4. Factor u(z).
2*(z - 2)*(z - 1)*(z + 1)/13
Let j = -5336/9 + 21353/36. Factor 0*x + j*x**3 + 1/4*x**4 + 0 - 1/2*x**2.
x**2*(x - 1)*(x + 2)/4
Let g(k) be the first derivative of k**3/18 + 245*k**2/12 + 1679. Suppose g(o) = 0. Calculate o.
-245, 0
Let f(d) be the third derivative of 0*d**3 - 1/168*d**8 - 26/105*d**7 + d**2 + 148 - 4*d**6 + 0*d - 256/3*d**4 - 448/15*d**5. Determine a so that f(a) = 0.
-8, -2, 0
Let j = 50 - 0. What is b in -j + 26 + 7*b + 27 - b**2 - 5*b = 0?
-1, 3
Let v(u) = -42*u**3 + u**2 - u. Let f be v(1). Let j be 4/(-3) - 224/f. Factor 1/2*y**5 + 2*y**j - 3/2*y - 2*y**2 + y**3 + 0.
y*(y - 1)*(y + 1)**2*(y + 3)/2
Let u = 148098 + -148095. Factor 7/3*m - 11/3*m**2 + 2/3 + 3*m**4 - 7/3*m**u.
(m - 1)**2*(m + 1)*(9*m + 2)/3
Suppose -3/5 + w - 2/5*w**2 = 0. Calculate w.
1, 3/2
Solve -74/13*r**3 - 136*r - 1440/13 - 680/13*r**2 + 2/13*r**4 = 0 for r.
-4, -2, 45
Suppose -5*i + i = -796. Let q = i + -993/5. Find b, given that q*b**2 + 6/5*b - 8/5 = 0.
-4, 1
Suppose -r - 4*i = -4, -76 = -4*r - 7*i + 3*i. Factor -7*g - 83 + 15*g + r*g + 4*g**2 + 131.
4*(g + 2)*(g + 6)
Let q = -477 + 663. Suppose -99 + q + 258*j**2 - 39 - 256*j - 112*j**3 + 82*j**2 = 0. Calculate j.
2/7, 3/4, 2
Let r be 7/56*0 + 7/21. Let a(z) be the second derivative of 1/30*z**6 + 0*z**5 + 16*z - r*z**3 - 1/4*z**4 + 0*z**2 + 0. Factor a(p).
p*(p - 2)*(p + 1)**2
Let r(h) be the third derivative of 5*h**7/273 + 57*h**6/26 + 5621*h**5/390 + 523*h**4/13 + 60*h**3 + 30*h**2 - 13*h. Find m, given that r(m) = 0.
-65, -6/5, -1
Suppose -10*c + 63 = 11*c. Solve -13*s**2 + 4*s**2 + 3*s**4 + 105*s**2 + 4*s**c - 58*s**3 = 0.
0, 2, 16
Let x be 25/(-45)*(-28)/210*36. Let x*w + 2/3*w**2 + 0 = 0. What is w?
-4, 0
Let m(d) = 17*d - d**3 + d**2 - 18*d + 2*d. Let u(j) = 3*j**4 - 14*j**3 + 37*j**2 - 41*j + 8. Let c(v) = 20*m(v) + 4*u(v). Determine a so that c(a) = 0.
1/3, 2
Let n = -94 - -96. Factor 36*z**n + 66 + 3651*z**3 + 84*z - 3655*z**3 - 22.
-4*(z - 11)*(z + 1)**2
Determine b so that -112/5 + 2/5*b**2 + 4*b = 0.
-14, 4
Let p(m) be the third derivative of m**5/12 + 1215*m**4/2 + 1771470*m**3 + 10*m**2 + 2*m - 115. Find o, given that p(o) = 0.
-1458
Let v(w) be the second derivative of 3*w**5/20 + w**4 - 5*w**3/2 + 7*w - 2. Factor v(j).
3*j*(j - 1)*(j + 5)
Let x(o) be the first derivative of o**5/15 - 17*o**4/12 + 20*o**3/3 - 2200. Factor x(p).
p**2*(p - 12)*(p - 5)/3
Let y(u) = -3*u - 14. Let b be y(-6). Let a be 5/(50/(-16))*(-4)/b. Solve -a*w + 6/5*w**3 - 2/5*w**4 + 0*w**2 + 0 = 0.
-1, 0, 2
Let j(k) = 5*k**3 - 49*k**2 + 310*k - 653. Let l(s) = 9*s**3 - 97*s**2 + 620*s - 1305. Let p(m) = 5*j(m) - 3*l(m). Suppose p(i) = 0. Calculate i.
5, 13
Let r(a) = 5*a**2 + 14*a - 1. Let b be r(-4). Let t(k) = -14*k + 5. Let m be t(-4). Solve 250 - 74*q - 2*q**3 + b*q**2 - m*q - 15*q + 7*q**2 = 0 for q.
5
Let o = 36976 - 36973. Find h, given that -2*h**2 + h**4 + 3/2*h**o + 1 - 3/2*h = 0.
-2, -1, 1/2, 1
Let x(l) = -15*l + 444. Let c be x(30). Let s be c/72 - (-9)/27. Solve -1/4*g**5 - s*g + 1/2*g**3 - g**2 + 1/2*g**4 + 1/2 = 0 for g.
-1, 1, 2
Suppose 17*i + 16 = 101. Let r(y) be the second derivative of -85/3*y**4 - 50*y**3 - 15/4*y**i + 3/2*y**6 - 31*y - 40*y**2 + 0. Determine h so that r(h) = 0.
-1, -2/3, 4
Let t(i) be the third derivative of 81*i**6/50 - 27*i**5/50 - 3*i**4/5 + 4*i**3/9 + 2510*i**2. Factor t(c).
2*(9*c - 2)**2*(18*c + 5)/15
Let w(y) = 2*y + 56. Let a = 59 + -86. Let o be w(a). Solve 0*s**3 + 3*s**3 - 178*s**5 - s**4 + s**o + 177*s**5 - 2*s = 0 for s.
-2, -1, 0, 1
Let m(i) be the first derivative of 3/2*i**2 + 4*i - 23 - 1/3*i**3. Let m(a) = 0. Calculate a.
-1, 4
Let j(v) be the first derivative of 0*v + 1/6*v**6 - 1/4*v**4 - 9/5*v**5 + 0*v**2 + 3*v**3 + 98. Determine h, given that j(h) = 0.
-1, 0, 1, 9
Let b(a) = -a**4 - 4*a**3 + 28*a**2 + 140*a + 136. Let m(y) = 3*y**4 + 12*y**3 - 85*y**2 - 421*y - 410. Let l(c) = 11*b(c) + 4*m(c). Let l(s) = 0. Calculate s.
-6, -2, 6
Solve -132*f**3 - 4/3*f + 0 + 206/3*f**2 = 0 for f.
0, 2/99, 1/2
Let h(t) be the third derivative of -t**6/300 + 172*t**5/75 - 27*t**2 + t + 2. Solve h(u) = 0.
0, 344
Let r(n) be the second derivative of -n**5/70 - 40*n**4/3 + 161*n**3/3 + 1686*n**2/7 + 544*n + 7. Factor r(k).
-2*(k - 3)*(k + 1)*(k + 562)/7
Let z(l) be the second derivative of -2*l**7/7 - 301*l**6/30 + 158*l**5/5 + 277*l**4/12 - 268*l**3/3 + 54*l**2 - 8602*l. What is a in z(a) = 0?
-27, -1, 1/4, 2/3, 2
Let v = -18 - -69. Suppose -5*p = 6 - v. Factor -37*a - 23*a - 180 - p*a**2 + 4*a**2.
-5*(a + 6)**2
Let f(s) be the second derivative of 0 + 0*s**2 + 50*s + 51/80*s**5 - 1/6*s**3 + 7/12*s**4. Factor f(r).
r*(3*r + 2)*(17*r - 2)/4
Let u = -171953 + 172007. Factor 1/2*i**4 + 0 + u*i + 15/2*i**3 + 36*i**2.
i*(i + 3)*(i + 6)**2/2
Let p = -5061181/10 - -506191. Suppose p*z**3 - 32*z + 2079/10*z**2 + 6/5 = 0. Calculate z.
-3, 2/27
Determine b so that 999 - 8*b**4 - 5*b**4 + 306*b - b**2 + 126*b**3 + 10*b**4 - 563*b**2 = 0.
-1, 3, 37
Let l = -7/690 + 197/2415. Let o(q) be the first derivative of -12 + 2/21*q**3 + l*q**4 - 1/7*q**2 - 2/7*q. Let o(x) = 0. What is x?
-1, 1
Let l(r) be the second derivative of r**5/70 - 2*r**4/21 + 5*r**3/21 - 2*r**2/7 + 1266*r. Factor l(p).
2*(p - 2)*(p - 1)**2/7
Suppose -9*l = 42*l - 255. Suppose -h + l = 10*f - 7*f, h = -f + 3. Factor -8/7*o + 16/7 - 18*o**3 - 132/7*o**h.
-2*(3*o + 2)**2*(7*o - 2)/7
Factor -2/7*c**2 - 74/7*c + 60.
-2*(c - 5)*(c + 42)/7
Let x = 34943 + -174713/5. Factor -96/5*g + 1152/5 + x*g**2.
2*(g - 24)**2/5
Let q(c) be the third derivative of -c**7/1050 - 13*c**6/600 - 2*c**5/15 - 3*c**4/10 + 3012*c**2. Suppose q(b) = 0. Calculate b.
-9, -2, 0
Factor -190/3*w**2 + 2*w**3 - 40 + 304/3*w.
2*(w - 30)*(w - 1)*(3*w - 2)/3
Factor -92/9 + 2/9*q**2 + 10*q.
2*(q - 1)*(q + 46)/9
Let z(m) = -23*m + 150. Let t be z(-4). Let p be (504/(-6))/14 + t/7. Factor p - 40/7*k + 2/7*k**2.
2*(k - 10)**2/7
Let x be ((-38)/(-5226))/((-28)/(-420)). Let r = x - -3/67. Factor 0 - 4/13*v + r*v**2.
2*v*(v - 2)/13
Let x be ((-86)/(-301))/(966/(-140) + 7). Let -244/7*q**2 - 176/7*q**3 + 2*q**5 - 18*q - 24/7*q**4 - x = 0. What is q?
-1, -2/7, 5
What is y in 34*y**2 + 48*y - 37 - 19*y**4 + 7 - 8*y**3 + 17*y**4 - 42 = 0?
-6, -2, 1, 3
Let s = 1595/804 - 85/268. Factor -s*z**3 - 2/3 + 2*z**2 + 3*z.
-(z - 2)*(z + 1)*(5*z - 1)/3
Suppose -9/2 - 11449/4*t**5 + 5564*t**4 - 1275/4*t - 11119/2*t**2 + 3181*t**3 = 0. What is t?
-1, -3/107, 1, 2
Let j(k) = 5*k**2 + 166*k - 373. Let l = 345 + -348. Let w(m) = 10*m**2 + 335*m - 745. Let o(x) = l*w(x) + 5*j(x). Find c, given that o(c) = 0.
-37, 2
Let y be (-417)/(-21) + 48/(-56). Suppose y*h = 15*h - v + 1, 3 = 3*v. Suppose h*p + 2*p**4 + 0*p**2 + 8/3*p**5 + 0 - 2/3*p**3 = 0. Calculate p.
-1, 0, 1/4
Let a be 1 + (-4533)/3753 - (-16)/72. Let x = 1122/695 - a. Factor -6/5*r**3 + x*r + 0 - 8/5*r**2.
-2*r*(r + 2)*(3*r - 2)/5
Let w(j) = 7*j**2 - 8*j - 17. Let n(d) be the third derivative of -3*d**5/20 + d**4/3 + 8*d**3/3 + 200*d**2. Let i(s) = -3*n(s) - 4*w(s). What is b in i(b) = 0?
-2, 10
Let w(r) be the second derivative of -r**4/72 + 11*r**3/18 + 23*r**2/12 - 552*r. Solve w(z) = 0 for z.
-1, 23
Let k be (2/(-8) - (52/(-80))/1) + 0. Let d be (6 + -11 + 29)/5. Factor -d*o + 72/5 + k*o**2.
2*(o - 6)**2/5
Determine q so that 32/9*q**2 + 784/9 - 308/9*q - 1/9*q**3 = 0.
4, 14
Let x be ((-31947)/2415 - -13)/(3/(-30)). Factor -x - 2/7*t**2