
Let w(v) be the first derivative of -v**3 - 954*v**2 + 1911*v + 1057. Factor w(f).
-3*(f - 1)*(f + 637)
Let l(d) be the first derivative of -d**6/2 - 63*d**5/5 - 51*d**4/2 + 84*d**3 + 228*d**2 + 1178. Determine r, given that l(r) = 0.
-19, -2, 0, 2
Factor -219/5 + 1/5*w**3 + 59*w - 77/5*w**2.
(w - 73)*(w - 3)*(w - 1)/5
Let l be 4/10*(44 - 94 - -40 - 140/(-6)). Suppose 5/6*m**5 + 32/3*m**2 + 8/3*m + 12*m**3 + 0 + l*m**4 = 0. What is m?
-2, -2/5, 0
Let g(o) be the third derivative of o**7/1155 - 7*o**6/60 - 13*o**5/55 + 4436*o**2. Factor g(i).
2*i**2*(i - 78)*(i + 1)/11
Solve 136/7*f - 512/7 - 2/7*f**2 = 0.
4, 64
Suppose -5*o = -28 - 12, 2*o - 14 = u. Suppose -1 + u*m**3 + 7/5*m**4 - 11/5*m + 1/5*m**5 - 2/5*m**2 = 0. What is m?
-5, -1, 1
Factor -423/2*h**2 - 3/8*h**3 - 59643/2*h + 0.
-3*h*(h + 282)**2/8
Let i(s) be the third derivative of s**7/630 + s**6/60 + s**5/20 + s**4/18 - 2*s**2 + s - 747. Determine n so that i(n) = 0.
-4, -1, 0
Let m(a) = 9*a**2 + 23*a - 11. Let c(o) = 5*o**2 + 12*o - 5. Let g = 473 - 466. Let t(d) = g*c(d) - 4*m(d). Suppose t(u) = 0. What is u?
-9, 1
Let l(w) be the second derivative of 3*w**5/5 - 51*w**4/4 + 90*w**3 - 162*w**2 - 7902*w. Let l(v) = 0. Calculate v.
3/4, 6
Let i(l) = -l**2 + 7*l + 7. Let b be i(8). Let p be (-12)/(0 + ((-3)/(-14))/b). Solve -p*r + 48*r - 27*r + 40 - 5*r**2 = 0 for r.
-8, 1
Suppose 15896*i - 15866*i - 60 = 0. Let f(k) be the first derivative of i*k**2 - 25 + 4*k + 1/3*k**3. Factor f(a).
(a + 2)**2
Let l = 15709 + -15693. Let u(s) be the first derivative of -10*s**2 + 26 - 4/3*s**3 - l*s. Determine w so that u(w) = 0.
-4, -1
Let c be (-3)/(-6)*18 + -2. Let x be (0*c/21)/1. Solve 3/5*l + 24/5*l**2 + 48/5*l**3 + x = 0.
-1/4, 0
Let h be (-2*2/24)/((-8586)/257580). Solve -h - 23/4*u**4 + 71/4*u**3 - 16*u - 7/4*u**5 + 43/4*u**2 = 0.
-5, -1, -2/7, 1, 2
Suppose -17*d + 42 = -26. Let 16*i**2 + 20*i**2 + 100*i**d - 24*i - 18*i**3 - 97*i**4 = 0. Calculate i.
0, 2
Let w(a) be the third derivative of -a**6/216 - 23*a**5/360 + 5*a**4/36 - 27*a**3/2 + 3*a**2 - a. Let y(o) be the first derivative of w(o). Solve y(u) = 0.
-5, 2/5
Suppose 6*f = 2*f - r + 25, -5*r = f - 68. Factor -4/19*x**2 + 2/19*x - 2/19*x**f + 4/19.
-2*(x - 1)*(x + 1)*(x + 2)/19
Let t(h) = 2*h**3 + 6*h - 3 + 3*h**2 - 1 - 3*h**3. Suppose 0 = 30*y + 131 - 11. Let z(w) = -2*w**3 + 5*w**2 + 11*w - 7. Let k(x) = y*z(x) + 7*t(x). Factor k(n).
n*(n - 1)*(n + 2)
Solve 0 + 880/7*j**2 + 108*j**4 + 1368/7*j**3 + 192/7*j + 54/7*j**5 = 0.
-12, -2/3, 0
Let w be (-9 - 2552/(-77)) + (-21 - -12) - 6. Solve -15/7*d**2 + w + 48/7*d + 1/7*d**3 = 0 for d.
-1, 8
Let w be -2 + 33/8 + 330/(-2640). Let c(i) be the first derivative of -i**w + 0*i - 19 + 1/9*i**3. Factor c(g).
g*(g - 6)/3
Let g(t) be the second derivative of t**7/1890 - 7*t**6/1620 + t**5/270 + t**4/36 + 121*t**3/6 - 188*t. Let u(n) be the second derivative of g(n). Factor u(r).
2*(r - 3)*(r - 1)*(2*r + 1)/9
Let h = 3518 + -3514. Let w(o) be the first derivative of 0*o**h + 13 + 0*o - 1/4*o**6 + 0*o**3 + 0*o**2 - 3/10*o**5. What is y in w(y) = 0?
-1, 0
Let t(r) be the third derivative of -3/8*r**4 + 0*r - 1/60*r**5 - 47*r**2 + 0*r**3 + 0. Factor t(i).
-i*(i + 9)
Let r(q) be the second derivative of -q**7/21 - 4*q**6/15 + 33*q**5/5 + 70*q**4/3 - 1225*q**3/3 - 1527*q. Let r(v) = 0. What is v?
-7, 0, 5
Let c(k) be the third derivative of k**6/120 + 97*k**5/60 - 33*k**4/4 - k**2 - 30*k. Factor c(d).
d*(d - 2)*(d + 99)
Let s be (20/(-12))/(-5*(-4)/(-24)). Suppose 28*p**3 - 9*p**2 - 52*p**s + 1458 - 51*p**3 + 9*p**2 + 621*p + 24*p**3 = 0. What is p?
-2, 27
Let i(m) = -32*m + 83. Let f be i(2). Let c be (-1744)/(-70) - (1064/(-70))/f. Factor c*q**2 + 0 + 54*q**3 + 21*q**4 + 24/7*q.
3*q*(q + 2)*(7*q + 2)**2/7
Let l(x) be the first derivative of -x**6/18 + 3*x**5/5 + 7*x**4/2 - 64*x**3/9 - 16*x**2 - 2147. Suppose l(z) = 0. Calculate z.
-4, -1, 0, 2, 12
Find b such that 2/5*b**2 - 126/5 + 124/5*b = 0.
-63, 1
Let z(l) be the first derivative of -2*l**3/21 - 1318*l**2/7 - 868562*l/7 - 1999. Factor z(g).
-2*(g + 659)**2/7
Let h = -24632 - -24643. Let g(n) be the second derivative of 0*n**4 + h*n - 1/4*n**5 + 0*n**2 + 5/6*n**3 + 0. Factor g(j).
-5*j*(j - 1)*(j + 1)
Let f(x) be the second derivative of -x**8/10080 - 2*x**7/945 - x**6/54 - 4*x**5/45 - 5*x**4 - 2*x - 57. Let y(t) be the third derivative of f(t). Factor y(w).
-2*(w + 2)**2*(w + 4)/3
Let z(b) = 5*b - 123. Let k be z(25). Factor -6*p**k - 7*p**2 + 58*p**2 + 75*p + 5*p**3 - 125.
5*(p - 1)*(p + 5)**2
What is y in 22/17*y**4 - 74/17*y**2 + 40/17*y**3 + 0 + 12/17*y = 0?
-3, 0, 2/11, 1
Suppose 943*b + 229 - 415*b + 4*b**2 - 372*b + 563 = 0. What is b?
-33, -6
Let g be (651/(-112))/((-105)/28). Let n(u) be the second derivative of -2/3*u**3 + g*u**5 + 0*u**2 - 7/6*u**6 + 2/3*u**4 + 0 + 7*u. Factor n(w).
-w*(w - 1)*(5*w + 2)*(7*w - 2)
Suppose -12988 = -6*d - 3856. Let -912*o**2 - 20*o**3 - 10212*o + 630 - 265 + 2345 + d = 0. Calculate o.
-23, 2/5
Let q(d) be the second derivative of -d**4/6 + 1322*d**3/3 - 436921*d**2 - 462*d. Factor q(j).
-2*(j - 661)**2
Let h be ((-76)/20 - -4) + ((-11058)/665 - -17). Let y(a) be the first derivative of -h*a**3 - 20/7*a**2 - 16/7*a + 9/14*a**4 - 38. Suppose y(p) = 0. What is p?
-2/3, 2
Suppose -683929/2 - 1/8*a**2 - 827/2*a = 0. Calculate a.
-1654
Let t(o) be the first derivative of -1/28*o**4 - 1/3*o**3 - 10 - 3/7*o**2 + 0*o. Determine g, given that t(g) = 0.
-6, -1, 0
Let z(y) be the third derivative of y**8/144 - 2011*y**7/630 + 427*y**6/60 + 859*y**5/45 - 143*y**4/9 - 9645*y**2. Suppose z(g) = 0. Calculate g.
-1, 0, 2/7, 2, 286
Let w(m) be the first derivative of m**4/2 - 136*m**3/3 - 4*m**2 + 544*m - 4306. Let w(t) = 0. What is t?
-2, 2, 68
Solve 0 - 9/2*x - 5*x**3 + 19/2*x**2 = 0.
0, 9/10, 1
Let g(k) be the first derivative of 2*k**5/5 + 545*k**4 + 591866*k**3/3 - 595140*k**2 + 596232*k - 784. Factor g(u).
2*(u - 1)**2*(u + 546)**2
Let h(s) be the second derivative of -s**4/4 + 43*s**3 - 3*s + 329. Find v, given that h(v) = 0.
0, 86
Factor -1081*n**4 + 258*n**3 - 314160*n + 14*n**3 + 4616*n**2 - 1080*n**4 - 1089*n**4 + 3246*n**4 - 5336100.
-4*(n - 55)**2*(n + 21)**2
Factor -224/13*i + 0 - 6/13*i**3 - 674/13*i**2.
-2*i*(i + 112)*(3*i + 1)/13
Let q = 61 + -56. Let f(v) = 6*v**2 + 5*v + 9. Let g(y) = y**2 - y. Let d(c) = q*g(c) - f(c). Find n such that d(n) = 0.
-9, -1
Let y(s) = 2*s**2 - 66*s + 548. Let t be y(17). Find m such that -2*m + 16/7*m**2 + 2/7*m**5 + 4/7 - 4/7*m**3 - 4/7*m**t = 0.
-2, 1
Find k such that -85/4*k**2 - 5*k**3 + 0 + 5/4*k**4 + 75*k = 0.
-4, 0, 3, 5
Let y(n) = -1688*n**2 - 10128*n + 2. Let v be y(-6). Suppose 3 = -4*l + 2*d - 1, 2*d = 4. Factor 0*f**3 - v*f**2 + 4 + 1/4*f**4 + l*f.
(f - 2)**2*(f + 2)**2/4
Let f(j) be the third derivative of 0*j + 0 + 0*j**3 + 1/4*j**5 + 1/14*j**7 + 84*j**2 - 5/12*j**6 + 0*j**4. Let f(m) = 0. What is m?
0, 1/3, 3
Let w(l) be the second derivative of -9*l**2 - 7/4*l**4 - 3/20*l**5 - 3 + 1/10*l**6 + l + 13/2*l**3. Suppose w(k) = 0. Calculate k.
-3, 1, 2
Factor -1/8*b**4 + 19/2 - 7/4*b**3 - 37/2*b + 87/8*b**2.
-(b - 2)**2*(b - 1)*(b + 19)/8
Let z(r) be the second derivative of -r**4/48 - 215*r**3/6 - 46225*r**2/2 - 30*r + 8. Factor z(l).
-(l + 430)**2/4
Let f(b) be the third derivative of b**6/60 + 2287*b**5/30 - 4577*b**4/12 + 763*b**3 - 11845*b**2. Suppose f(y) = 0. What is y?
-2289, 1
Let b(i) be the second derivative of i**4/12 + 25*i**3/6 + 69*i**2 + 485*i. Let u be b(-17). Determine q, given that 0*q - 2/9*q**3 + 0 - 8/9*q**u = 0.
-4, 0
Let p = 4074 - 57027/14. Let r(s) be the first derivative of -2/3*s**3 - 1/21*s**6 + 17 - p*s**4 - 2/7*s**2 + 0*s - 2/7*s**5. Determine v so that r(v) = 0.
-2, -1, 0
Let u(l) be the third derivative of -2/3*l**3 + 1/6*l**5 - 1/12*l**4 + 8 - 1/35*l**7 + 1/60*l**6 - 9*l**2 + 0*l. Let u(o) = 0. Calculate o.
-1, -2/3, 1
Let t = -6871 + 6873. Let h(i) be the second derivative of -10/3*i**3 - 1/6*i**6 + i**5 + 27*i + 10*i**t - 5/4*i**4 + 0. Factor h(u).
-5*(u - 2)**2*(u - 1)*(u + 1)
Let b(m) = 19*m**3 + 66*m**2 + 71*m + 9. Let r(i) = -3*i**3 - i**2 + 1. Let f(w) = -b(w) - 5*r(w). Find q, given that f(q) = 0.
-14, -1, -1/4
Let g(a) be the first derivative of -4/3*a**3 + 32*a**2 - 60*a + 52. Find r such that g(r) = 0.
1, 15
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