15 - (-15)/9*-6. Let y(g) be the second derivative of -7*g + 0 - 4*g**2 + 0*g**4 + 1/5*g**c - 2*g**3. Factor y(w).
4*(w - 2)*(w + 1)**2
Let f be 1259/(-210) + 2 + 4. Let n(l) be the third derivative of 0*l**4 + 21*l**2 + 0*l**3 + 0*l + 1/280*l**6 + 0 - 1/1470*l**7 - f*l**5. Factor n(g).
-g**2*(g - 2)*(g - 1)/7
Let g be (-1421)/(-493) - 4/(-34). Solve g*s**2 - s - 33*s**4 + 81*s**4 - 2 + s**3 - 49*s**4 = 0.
-1, 1, 2
Let q(n) = -42*n**3 - 2*n - 5 + 38*n**3 + 2. Let y(z) = -7*z**3 - z**2 - 2*z - 5. Let u(o) = 5*q(o) - 3*y(o). Factor u(w).
w*(w - 1)*(w + 4)
Let d = -169 - -171. Let q(r) = -r**3 + r**2. Let y(c) = -5*c**3 - 45*c**2 - 384*c - 1024. Let s(a) = d*y(a) - 6*q(a). Find x, given that s(x) = 0.
-8
Let q(u) be the third derivative of 1/25*u**5 + 0*u + 2/15*u**4 + 9 - 1/75*u**7 - 2/75*u**6 + u**2 + 1/15*u**3. Suppose q(i) = 0. Calculate i.
-1, -1/7, 1
Let g(v) = -1221*v**2 + 11344*v - 26224. Let u(i) = -2440*i**2 + 22690*i - 52438. Let k(c) = -15*g(c) + 6*u(c). Suppose k(s) = 0. What is s?
162/35
Let a(l) = -l**3 + 14*l**2 - 27*l - 41. Let s be a(17). Let t = s + 1370. Factor 2/3*j**t + 0 - 10/9*j**2 + 4/9*j.
2*j*(j - 1)*(3*j - 2)/9
Suppose 0 = -u - 1, 0 = 2*g + 4*u - 88 + 28. Determine j so that -22*j - 4*j**3 - g - 34*j - 28*j**2 - 16*j + 16*j = 0.
-4, -2, -1
Factor 22*w**3 - 14*w**3 - 6*w**3 + 27*w - 56*w**2 + 523 - 107 + 61*w.
2*(w - 26)*(w - 4)*(w + 2)
Let k(u) = u**2 + 35*u - 34. Let o = 175 + -211. Let y be k(o). Determine x so that 0*x**y + 0*x + 2/7*x**4 + 0 + 2/7*x**3 = 0.
-1, 0
Suppose 235*y + 109 + 73 = 326*y. Determine w, given that -4/3*w**y + 40/3*w**4 + 2/3*w**3 + 0*w - 56/3*w**5 + 0 = 0.
-2/7, 0, 1/2
Let q(t) be the first derivative of -t**6/24 - 2*t**5/3 - 35*t**4/24 + 87*t**2/2 + 28. Let w(i) be the second derivative of q(i). Factor w(y).
-5*y*(y + 1)*(y + 7)
Suppose -26 = r + 4*i, 3*r = 2*i + i - 153. Let u = -43 - r. Find f, given that 2*f + 65*f**3 + 5*f**5 - 60*f**2 - 20*f**4 - 7*f**4 + 18*f - u*f**4 = 0.
0, 1, 2
Suppose -43*i + 20 = -45*i. Let x be (36/10)/1 - i/25. Factor 11*a**5 + 12*a**2 + 2*a**3 - 3*a**x - 21*a**5 + 8*a + 9*a**5.
-a*(a - 2)*(a + 1)*(a + 2)**2
Let t(q) be the second derivative of 2 - 25*q**2 - 6/5*q**5 - 133*q - 23/3*q**4 - 1/15*q**6 - 20*q**3. Suppose t(u) = 0. Calculate u.
-5, -1
Let r(w) be the third derivative of 61 - w**2 - 1/480*w**6 + 1/4*w**3 + 1/96*w**4 + 0*w - 1/40*w**5. Solve r(m) = 0.
-6, -1, 1
Let h(d) be the third derivative of 11/40*d**4 + 1/1680*d**8 + 3/350*d**7 - 39*d**2 + 23/150*d**5 - d + 3/10*d**3 + 0 + 1/20*d**6. Solve h(c) = 0 for c.
-3, -1
Factor 33*u**3 - 1297*u**2 + 1207*u**2 + 337*u**4 - 340*u**4.
-3*u**2*(u - 6)*(u - 5)
Let a = 306 - 282. Determine m so that 17*m**3 - 74*m**2 - 9*m**2 - 48*m**4 + 16*m**5 + 104*m**4 - a*m + 36 = 0.
-2, -1, 3/4
Let o(y) = 16*y - 1378. Let s be o(85). Let h be ((-27)/s)/(62/8 - -2). Solve -24/13 - h*t**4 + 10/13*t**2 - 18/13*t**3 + 2/13*t**5 + 32/13*t = 0.
-2, 1, 3
Let y = 8027 - 8025. Let t(k) be the second derivative of 0 + k - 5/3*k**3 + 0*k**y - 5/24*k**4. Factor t(d).
-5*d*(d + 4)/2
Let m(a) be the second derivative of -a**6/30 + a**5/2 - 13*a**4/12 - 4*a**3 - 42*a + 24. Factor m(o).
-o*(o - 8)*(o - 3)*(o + 1)
Let n(i) be the first derivative of 4/3*i**2 - 64 + 2*i**3 + 0*i. What is f in n(f) = 0?
-4/9, 0
Let c = -2677/18 - -2755/18. Factor -8*s + c*s**2 - 2/3*s**3 + 3.
-(s - 3)**2*(2*s - 1)/3
Let b(s) be the first derivative of s**5 + 105*s**4/2 - 145*s**3 + 110*s**2 - 5223. Determine x, given that b(x) = 0.
-44, 0, 1
Let g(l) = -52*l**2 + 20*l + 152. Let s(o) = -92*o**2 + 40*o + 302. Let r(i) = 7*g(i) - 4*s(i). Find m such that r(m) = 0.
-4, 9
Let a(m) be the second derivative of -m**4/36 - 250*m**3/9 - 31250*m**2/3 + 853*m. Suppose a(v) = 0. What is v?
-250
Let a = -45/2 - -331/14. Let x be (-2816)/(-574) + (-62)/1271. Determine w, given that 0*w - a + x*w**3 + 38/7*w**2 - 6/7*w**4 - 10/7*w**5 = 0.
-1, 2/5, 2
Find j, given that 447/2*j**2 + 699/2*j**4 - 6 - 84*j**5 - 471*j**3 - 12*j = 0.
-1/8, 2/7, 1, 2
Let z(v) be the first derivative of 36*v - 61 + 30*v**2 - 16*v**4 - 32/3*v**3. Factor z(r).
-4*(r - 1)*(4*r + 3)**2
Suppose 6/7*o**3 - 180/7 + 2/7*o**4 - 174/7*o - 38/7*o**2 = 0. What is o?
-3, -2, 5
Let j(i) = -1830*i - 98814. Let g be j(-54). Solve 0 - g*o**2 + 0*o - 3/2*o**4 + 6*o**3 = 0.
0, 2
Let b = -8 - -113. Let c be 31/7 - 45/b. Factor 3*i**2 - c*i - 2*i**2 - i**2 - 8*i**2 - 4*i**3.
-4*i*(i + 1)**2
Let y(x) be the second derivative of 60 + 24*x**2 - x + 43/6*x**4 + 4/5*x**5 - 1/15*x**6 + 58/3*x**3. Determine z, given that y(z) = 0.
-2, -1, 12
Let i = 547657 - 547655. Factor 0*s**i + 1/5*s**3 + 16/5 - 12/5*s.
(s - 2)**2*(s + 4)/5
Let w be (-25 - (-629958)/25200)/(6/(-10)). Let q(s) be the third derivative of 31 + 7/144*s**4 + 0*s + w*s**5 - 1/240*s**6 - 5/36*s**3 - s**2. Factor q(i).
-(i - 1)**2*(3*i + 5)/6
Suppose -24*o + 161 = -o. Let s be 4/(-44) - (2646/(-286))/o. Factor -s - 60/13*w**2 - 72/13*w - 14/13*w**3.
-2*(w + 2)**2*(7*w + 2)/13
Let u(s) be the second derivative of s**2 - 1/80*s**5 + 2 - 1/2*s**3 + 1/8*s**4 - 41*s. Find l, given that u(l) = 0.
2
Suppose 6*v = 158 - 44. Let f = -8 + v. Factor 15*p - 3*p**2 + 2 - 3*p**3 - f + 0.
-3*(p - 1)**2*(p + 3)
Let j be (-780)/(-135) + -3 + -2. Let s(q) be the first derivative of -5/2*q**2 + 19 - 1/12*q**4 + j*q**3 + 3*q. Determine k, given that s(k) = 0.
1, 3
Factor 1/6*b**5 + 0 + 0*b**2 + 0*b**3 + 0*b + 4/3*b**4.
b**4*(b + 8)/6
Let k be (-3 - -4)/(40/12 + -3). Factor -8*r**k + 14*r**3 - 16*r**2 + 16*r - 2*r**3.
4*r*(r - 2)**2
Suppose 0 = 12*f - 58 - 26. Suppose f*i = 4*i. Factor -4/3*m + 0 + 1/3*m**3 + i*m**2.
m*(m - 2)*(m + 2)/3
Suppose 3*i + 20 = 7*i. Let w = -540173/17 - -31775. Suppose -8/17*m**4 - 10/17*m**3 + 0*m + 0 - w*m**i - 4/17*m**2 = 0. Calculate m.
-2, -1, 0
Let a(z) = 241*z - 13252. Let p be a(55). Factor -4/5*r + 0 + 1/5*r**4 - r**p + 8/5*r**2.
r*(r - 2)**2*(r - 1)/5
Let u(x) = -12*x**3 - 14*x**2 - 2*x. Suppose 2*c = 7*c + 10. Let n(v) = v**2 - 12 + 13 + v**3 - 1. Let y(z) = c*u(z) - 28*n(z). Let y(b) = 0. What is b?
-1, 0, 1
Let v(u) be the second derivative of u**4/6 - 1760*u**3/3 + 774400*u**2 - 1576*u. Factor v(p).
2*(p - 880)**2
Let g(d) be the third derivative of -d**5/630 + 7*d**4/18 - 97*d**3/63 - 919*d**2. Factor g(n).
-2*(n - 97)*(n - 1)/21
Let d be 1/(-3)*(-44 + 44). Solve 3/2*t**3 + d - 1/2*t**5 + 2*t - t**4 + 4*t**2 = 0.
-2, -1, 0, 2
Let r be 221/(-285) + 96/160. Let b = r - -130/19. Factor -20/3*f**2 - b*f**3 - 10/3*f - 10/3*f**4 - 2/3 - 2/3*f**5.
-2*(f + 1)**5/3
Suppose 10 = 5*f, 0*f + 4*f - 16 = -4*v. Factor 124 + 2*c**3 - 4*c**2 + 2*c**3 + 32*c**v - 58 + 60*c - 30.
4*(c + 1)*(c + 3)**2
Let x be (126/(-35))/((-72)/80). Let h(l) be the first derivative of -2/21*l**3 + 0*l - 3/14*l**x + 0*l**2 - 12. Factor h(g).
-2*g**2*(3*g + 1)/7
Let u(f) be the third derivative of -7/3*f**3 + 0 + 1/60*f**6 + 13*f**2 + 7/30*f**5 + 14*f - 1/12*f**4. Factor u(g).
2*(g - 1)*(g + 1)*(g + 7)
Let n be (-4)/(-1) - (6 - 2). Suppose 4*c - 22 = -2*k, n*k - 2 = c - k. Factor q**c + 6*q - 1 + 1 + 3*q**2 - 8*q**2.
q*(q - 3)*(q - 2)
Solve -26*i**2 - 20*i**3 - 2574 + 22*i**3 + 2574 = 0 for i.
0, 13
Let v(t) be the second derivative of 19/16*t**4 + 9/80*t**5 - 51*t + 33/8*t**3 + 27/8*t**2 + 0. Factor v(z).
3*(z + 3)**2*(3*z + 1)/4
Let v(r) be the second derivative of 2*r**5/5 + 929*r**4/12 + 13514*r**3/3 + 1682*r**2 + 39*r - 31. Factor v(y).
(y + 58)**2*(8*y + 1)
Let b(w) be the third derivative of 0 + 0*w + 2/39*w**4 - 4/39*w**3 - 1/130*w**5 - 136*w**2. Determine g so that b(g) = 0.
2/3, 2
Let z(h) = -4*h**3 + 10*h**2 - 16*h - 5. Let m(i) = 5*i**3 - 11*i**2 + 20*i + 6. Let k(t) = 5*m(t) + 6*z(t). Let k(n) = 0. Calculate n.
-4, -1, 0
Let g(u) be the first derivative of -u**6/3 - 8*u**5/15 + 4*u**4/3 + 4*u**3/3 - 5*u**2/3 - 4*u/3 - 11719. Suppose g(f) = 0. What is f?
-2, -1, -1/3, 1
Let y(s) = -s**3 - 12*s**2 - 784*s - 9408. Let b be y(-12). Find z such that -4*z**2 - 44/3*z**4 + 0 + 46/3*z**3 + b*z + 10/3*z**5 = 0.
0, 2/5, 1, 3
Let x be 1/((-1403)/1281 - (-20)/14). Let k(j) be the third derivative of -7/6*j**4 + 38*j**2 + 0*j + 4*j**x + 0 + 1/15*j**5. Factor k(v).
4*(v - 6)*(v - 1)
Let d = -45558 + 45562. Let -1/3*z**2 + 1/3*z**d + 1/3*z**5 + 8/3*z - 4/3 - 5/3*z**3 = 0. Wh