se -12 = -y + 5*v, -3*y - 5*v + 1 = 5. Let s be ((-32)/28)/((-2)/7). Suppose 3*b**3 + 45*b**5 + 6*b**s - 2*b - 42*b**5 + y*b = 0. What is b?
-1, 0
Suppose -5*l - 12792 - 8833 = f, -l + 3*f = 4309. Let k be 16/(-6) - l/1410. Factor k*m**3 - 4*m**2 + 10*m + 0.
2*m*(m - 5)**2/5
What is k in 6*k - 8/3*k**3 - 12 + 46/3*k**2 = 0?
-1, 3/4, 6
Find h such that -6*h - 70/3*h**4 - 8/3*h**5 + 70/3*h**2 + 26/3*h**3 + 0 = 0.
-9, -1, 0, 1/4, 1
Let w(x) be the second derivative of 2888*x**2 - 152/3*x**3 + 11*x + 1/3*x**4 - 3. Find r, given that w(r) = 0.
38
Let a = -4985 - -4985. Let z(y) be the third derivative of 1/3*y**3 + 1/24*y**4 + 0 + a*y - 1/30*y**5 - 1/120*y**6 + 24*y**2. Solve z(s) = 0.
-2, -1, 1
Let u(n) be the first derivative of -n**3/3 + 25*n**2/2 - 66*n + 281. Let l be u(22). Factor l*r**2 + 3/5*r**5 - 6/5*r**3 + 0 - 3/5*r**4 + 0*r.
3*r**3*(r - 2)*(r + 1)/5
Let d be ((-3)/(-1) + 1)*40/320. Let v(f) be the first derivative of -24 + 0*f + 0*f**3 + 0*f**2 + d*f**4. Factor v(w).
2*w**3
Suppose 3 = 3*n - 3*a, 4*n - 72*a - 12 = -76*a. Solve -32/3*r**3 - 44/3 + 4/3*r**4 - 128/3*r - 40*r**n = 0 for r.
-1, 11
Let k be ((-120)/(-100)*-1)/(-2 + 51/30). Let d = -175/6 + 293/10. Factor -2/15*l**k + 2/5*l**2 + d*l**3 + 4/15 - 2/3*l.
-2*(l - 1)**3*(l + 2)/15
Suppose 2506*l - 8918 = 2480*l. Let c = 0 - -2. Factor -343 - 6*p**c - 3*p**3 + l - 3*p.
-3*p*(p + 1)**2
Let p(o) = -6*o**4 + 3*o**3 + 9*o - 30. Let c(w) = 3*w - w**3 + 2 + 0*w + 2*w**4 - 2*w - w**4. Let b(f) = -28*c(f) - 4*p(f). Factor b(g).
-4*(g - 2)**3*(g + 2)
Let h(r) = 3887*r - 128269. Let o be h(33). Solve -25/2*c + 53/4*c**4 + 0 + 5/4*c**5 + 153/4*c**3 + 55/4*c**o = 0.
-5, -1, 0, 2/5
Let m(q) be the first derivative of 29 + 2/11*q**3 - 8/11*q + 2/11*q**4 + 2/55*q**5 - 4/11*q**2. Determine f, given that m(f) = 0.
-2, -1, 1
Factor 32*l**3 + 1/4*l**4 + 0*l - 129/4*l**2 + 0.
l**2*(l - 1)*(l + 129)/4
Let n(r) be the first derivative of 26*r**5/115 - 21*r**4/23 - 40*r**3/69 + 168*r**2/23 - 256*r/23 + 1352. Let n(h) = 0. What is h?
-2, 16/13, 2
Let v(j) be the third derivative of j**5/120 - 629*j**4/24 + 395641*j**3/12 + 275*j**2 + 2. Factor v(q).
(q - 629)**2/2
Let n(o) be the first derivative of -o**8/10080 - o**7/2520 + o**6/540 + o**5/90 - 13*o**3 - o + 118. Let v(d) be the third derivative of n(d). Factor v(x).
-x*(x - 2)*(x + 2)**2/6
Let n(p) be the third derivative of 1/16*p**5 + 1/420*p**7 + 0*p + 11/96*p**4 + 1/8*p**3 + 0 + 36*p**2 + 3/160*p**6. Factor n(h).
(h + 1)**3*(2*h + 3)/4
Let b = 85319/11562 + -177/3854. Factor 23/3 - 1/3*k**2 + b*k.
-(k - 23)*(k + 1)/3
Let n = -482999/20 + 24150. Let c(j) be the first derivative of 5/12*j**3 + 13 + 0*j + 1/24*j**6 - 1/4*j**2 - n*j**5 - 3/16*j**4. Let c(r) = 0. Calculate r.
-2, 0, 1
Let q(i) = 2*i**3 - 10*i**2 - 19*i + 6. Let f be q(7). Suppose 8 = -f*c + 73*c. Factor 6/7*r + 4/7 + 2/7*r**c.
2*(r + 1)*(r + 2)/7
Let f(j) = -26*j**2 - 4734*j + 4733. Let m(d) = 19*d**2 + 4731*d - 4732. Let q(c) = -2*f(c) - 3*m(c). Let q(r) = 0. Calculate r.
-946, 1
Let l(w) = -16*w**3 - 244*w**2 + 11*w. Let p(v) = 3*v**3 + 49*v**2 - 2*v. Let m be -1 + 3 - 78/6. Let k(t) = m*p(t) - 2*l(t). Factor k(x).
-x**2*(x + 51)
Let r(w) be the second derivative of 2560/3*w**2 + 160/9*w**3 + 0 - 137*w + 5/36*w**4. Factor r(t).
5*(t + 32)**2/3
Suppose -241*l + 99*l - 426 = 0. Let y be (-28)/4 + l + (-146)/(-14). Factor y*w**2 - 9/7*w + 0.
3*w*(w - 3)/7
Let v = 69 + -73. Let y(z) = -z**3 - 5*z**2 - 6*z - 5. Let j be y(v). Suppose -8 - 5*d**3 + d**j - d**4 - 49*d**2 + 55*d**2 + 5*d**3 - 4*d = 0. What is d?
-2, -1, 2
Let z(t) be the second derivative of -11/18*t**4 + 32/3*t**2 + 2*t + 58/3*t**3 + 126. Factor z(m).
-2*(m - 16)*(11*m + 2)/3
Let u = 20 + -25. Let d be (5/(u/(-2)))/1. Suppose -12 + 14*q + q**2 + 3*q**d - 22*q = 0. What is q?
-1, 3
Let d(h) be the third derivative of h**6/720 + h**5/30 - 3*h**4/16 + 7*h**3/18 + 1299*h**2. Factor d(l).
(l - 1)**2*(l + 14)/6
Let n(b) be the second derivative of b**4/18 + 226*b**3/9 + 448*b**2/3 - 2*b + 1123. Factor n(q).
2*(q + 2)*(q + 224)/3
Let k(z) be the second derivative of -z**8/30240 - z**7/3780 + 13*z**6/3240 + z**5/36 + 2*z**4 - 58*z. Let u(g) be the third derivative of k(g). Factor u(h).
-2*(h - 3)*(h + 1)*(h + 5)/9
Let 29/4*s**3 + 51/2*s - 35/4*s**4 + 167/4*s**2 + 0 + 1/4*s**5 = 0. Calculate s.
-1, 0, 3, 34
Find d, given that 2826*d**2 - 87*d**3 + 255*d - 1437*d**2 - 1222*d**2 + d**4 = 0.
-1, 0, 3, 85
Determine w, given that 183 + 733/4*w + 1/4*w**2 = 0.
-732, -1
Factor -4 - 14/3*s - 2/9*s**3 - 16/9*s**2.
-2*(s + 2)*(s + 3)**2/9
Suppose -m = -3*c + 8, -2*c + 2 + 5 = m. Let p(v) = v**2 - v - 3. Let o(z) = 4*z**2 + 41*z + 36. Let r(u) = m*p(u) - o(u). Factor r(k).
-3*(k + 1)*(k + 13)
Let n(d) = 6*d**2 - 3*d - 5. Let c be ((-6)/(-9))/(12/36). Let k = 16 - 6. Let y(z) = -z**2 + z + 1. Let g(t) = c*n(t) + k*y(t). Let g(o) = 0. Calculate o.
-2, 0
Let h(k) be the second derivative of k**7/42 - 1279*k**6/90 + 4551*k**5/2 - 22045*k**4/18 - 45511*k**3/6 + 15123*k**2/2 + k - 305. Let h(n) = 0. What is n?
-1, 1/3, 1, 213
Let j(d) be the second derivative of -d**6/30 - d**5/4 - d**4/4 + 5*d**3/6 + 2*d**2 - 4*d + 80. Determine g, given that j(g) = 0.
-4, -1, 1
Let z = -1261/108 + 427/36. Let w(g) be the second derivative of 0*g**2 - 1/90*g**5 - 6*g - 2/27*g**4 + z*g**3 + 0. Solve w(x) = 0.
-5, 0, 1
Let o = -13621/7 + 1946. Let m(y) be the second derivative of -1/70*y**5 + 0*y**4 + o*y**3 + 0 - 2/7*y**2 - 6*y. Factor m(b).
-2*(b - 1)**2*(b + 2)/7
Let l = -7/7974 + 593/2658. Let q be (-2)/(-6) + (-95)/(-9). Factor -28/9*u + l*u**2 + q.
2*(u - 7)**2/9
Let r(f) be the first derivative of -117 - 1/21*f**3 - 10/7*f - 1/2*f**2. Let r(v) = 0. Calculate v.
-5, -2
Factor -75/2 + 1/4*z**2 - 47/4*z.
(z - 50)*(z + 3)/4
Let f(t) be the second derivative of -t**5/150 - 191*t**4/6 - 182405*t**3/3 - 174196775*t**2/3 + t + 385. Factor f(r).
-2*(r + 955)**3/15
Let y(s) be the third derivative of -s**8/4480 + s**6/160 - s**5/40 + s**4/24 + 11*s**3/6 + 141*s**2. Let o(l) be the second derivative of y(l). Factor o(x).
-3*(x - 1)**2*(x + 2)/2
Suppose -2091 - 2258 = -911*u - 705. Determine n so that -18/7 + 3*n**2 - 15/7*n + 15/7*n**3 - 3/7*n**u = 0.
-1, 1, 6
Let x = 110667 - 442665/4. Let -81/2*s + 2187/4 + x*s**2 = 0. What is s?
27
Let t be 6*(36/45 + (-14)/30). Find r, given that 6*r**2 - 26 - 55*r + 76 + 4*r**2 - 5*r**t = 0.
1, 10
Let p = 404561/4 + -101140. Factor -1/4*y**4 - p - 1/4*y + 1/2*y**3 - 1/4*y**5 + 1/2*y**2.
-(y - 1)**2*(y + 1)**3/4
Let h(v) = 3*v**3 - 59*v**2 - 166*v + 264. Let x be h(22). Factor x - g**5 - 2/3*g**2 + 0*g + 1/3*g**3 + 4/3*g**4.
-g**2*(g - 1)**2*(3*g + 2)/3
Let v(k) be the third derivative of -k**7/840 + k**6/48 + k**5/80 - 35*k**4/24 - 49*k**3/6 - 7*k**2 + k + 28. Determine t, given that v(t) = 0.
-2, 7
Let q be (-201 - -203) + (-2)/(4/6). Let b(x) = -7*x**2 + 11*x + 18. Let j(w) = w**2 - 1. Let g(a) = q*b(a) - 6*j(a). Factor g(n).
(n - 12)*(n + 1)
Let q(r) = -r**3 + 19*r**2 + 64*r - 444. Let h be q(21). Suppose h*n**3 + 12*n - 6*n**4 + 0 - 24*n**2 + 3/4*n**5 = 0. Calculate n.
0, 2
Let t(r) be the second derivative of r**6/360 - 43*r**5/60 + 1849*r**4/24 + 34*r**3/3 + 2*r + 37. Let x(h) be the second derivative of t(h). Factor x(l).
(l - 43)**2
Let a(o) = o**3 + 6*o**2 - 22. Let s be a(-5). Let u be (195/(-130))/(s/(-4)). Factor -f - 2*f**3 + 0 + 9/2*f**u.
-f*(f - 2)*(4*f - 1)/2
Factor -2775 - 71*v**2 + 130*v**3 - 2774 + 5549 + 3*v.
v*(2*v - 1)*(65*v - 3)
Let t be (-18 + (-3213)/(-180))/(-1). Let d(w) be the second derivative of -4*w + t*w**5 - 3*w**2 + 5/2*w**3 - w**4 + 0. Factor d(q).
3*(q - 2)*(q - 1)**2
Let t(w) be the second derivative of -7*w**5/20 + 5*w**4/4 - 3*w**3/2 - 5*w**2/2 + 104*w. Let r(x) be the first derivative of t(x). Factor r(b).
-3*(b - 1)*(7*b - 3)
Let t = -79 + 68. Let m(q) = -8*q**4 + 4*q**3 + 6*q**2 + 6*q - 6. Let h(p) = 15*p**4 - 9*p**3 - 11*p**2 - 11*p + 11. Let n(f) = t*m(f) - 6*h(f). Factor n(i).
-2*i**3*(i - 5)
Let y(t) be the first derivative of -1/4*t**2 + 1/6*t**3 - 1/40*t**5 + 1/32*t**4 + 0*t + 168. Determine h, given that y(h) = 0.
-2, 0, 1, 2
Let z(h) = 1. Let u(f) = -9*f**2 - 318*f - 108. Suppose -4*d = 2*k + 2 + 2, 4*k = 0. Let x(b) = d*u(b) - 3*z(b). Find r such that x(r) = 0.
-35, -1/3
Let i be 