3 + 1193*m**2 + 29597*m - 9997. Let h(v) = 16*i(v) + 3*r(v). Factor h(t).
4*(t + 50)**2*(3*t - 1)
Let q(r) = -2*r**2 - 1. Let t(o) = 8*o**2 + 16*o + 134. Let n(c) = 6*q(c) + t(c). Solve n(i) = 0 for i.
-4, 8
Let y(u) be the third derivative of -u**8/4480 - u**7/1680 + u**6/240 - u**4/8 - 9*u**2. Let r(k) be the second derivative of y(k). Factor r(n).
-3*n*(n - 1)*(n + 2)/2
Let v(a) be the second derivative of 1/4*a**2 + 2*a - 1/16*a**4 + 0 + 5/24*a**3. Determine w so that v(w) = 0.
-1/3, 2
Let t(o) = -o**3 + 11*o**2 + 8. Let m be t(11). Solve 6*q**2 - 318*q**3 - m*q + 0*q**2 + 320*q**3 = 0 for q.
-4, 0, 1
Let x(t) be the third derivative of t**8/1680 - t**7/525 - 29*t**6/600 - 23*t**5/150 + t**4/6 + 28*t**3/15 + 400*t**2. Solve x(s) = 0 for s.
-2, 1, 7
Let t be (-3)/1 + 9 + 3*-2. Let q(y) be the second derivative of 0*y**2 + 0 + 0*y**3 - 3*y - 1/3*y**4 + t*y**5 + 2/15*y**6. Suppose q(h) = 0. Calculate h.
-1, 0, 1
Let c(i) be the third derivative of -5*i**8/336 + i**6/4 + 2*i**5/3 + 5*i**4/8 + 219*i**2. Let c(n) = 0. Calculate n.
-1, 0, 3
Factor 4 + 2/5*i**2 - 14/5*i.
2*(i - 5)*(i - 2)/5
Let y(g) = -g**2 - g - 1. Let a(o) = -4*o**5 + 40*o**4 + 224*o**3 - 2*o**2 - 2*o - 2. Let b(j) = -a(j) + 2*y(j). Factor b(s).
4*s**3*(s - 14)*(s + 4)
Let a(o) = o**3 - 24*o**2 - 52*o + 2. Let h be a(26). Let p(i) be the second derivative of 5/36*i**4 + i + 1/9*i**3 + 0 + 0*i**h + 1/30*i**5. Factor p(w).
w*(w + 2)*(2*w + 1)/3
Let n = 44 + -40. Factor 32 - 5*p**2 - 104 - 4*p**3 + 24*p + 27*p**2 - 79*p**4 + 77*p**n.
-2*(p - 2)**2*(p + 3)**2
Let p(c) = c + 9. Let o be p(0). Let s = o + -6. Solve -4*i**2 + i**3 + 2*i**s - 2*i**4 + 3*i**3 = 0.
0, 1, 2
Suppose 0 = 3*q + 2*k + k + 207, -q = -4*k + 84. Let a = 505/7 + q. Factor -2/7*f**2 + 1/7 - a*f.
-(f + 1)*(2*f - 1)/7
Let i be (12/(-14))/(7/(-49)). Suppose -3*k - i = -5*k. Factor -70*d**4 + 5*d**3 - 2*d**k + 16*d**2 + 4*d - 8*d - 49*d**5 + 4*d**2.
-d*(d + 1)**2*(7*d - 2)**2
Let -10/9*n - 4/3 + 10/9*n**3 + 10/9*n**2 + 2/9*n**4 = 0. Calculate n.
-3, -2, -1, 1
Factor -2 + 17/8*n - 1/8*n**2.
-(n - 16)*(n - 1)/8
Let t(o) = o**3 + 10*o**2 - 12*o - 9. Let j be t(-11). Let h(p) be the third derivative of -4*p**j + 0*p - 1/9*p**3 + 0*p**4 + 1/90*p**5 + 0. Factor h(f).
2*(f - 1)*(f + 1)/3
Let y(f) = f + 20. Let m be y(-14). Suppose -8 = -m*b + 2*b. Factor 2/3*s - s**b + 1/3*s**3 + 0.
s*(s - 2)*(s - 1)/3
Let v(g) be the second derivative of -g**4/6 + 17*g**3/3 - 42*g**2 - 73*g. Factor v(i).
-2*(i - 14)*(i - 3)
Let x(o) be the third derivative of 0*o**3 - 3*o**2 - 3/50*o**6 - 9/10*o**4 + 9/25*o**5 + 0 + 2/525*o**7 + 0*o. Factor x(i).
4*i*(i - 3)**3/5
Suppose -21 = -4*n + 39. Factor n + 3*v**2 + 0*v**2 + 2*v**2 - 20*v.
5*(v - 3)*(v - 1)
Let u be (552 + 0 - 0) + -3. Let k = 954 - u. Factor -k*g**2 + 17*g**2 + 89*g**3 + 179*g + 162*g**4 - 27*g + g**3 - 16.
2*(g - 1)*(g + 2)*(9*g - 2)**2
Suppose -8*u**3 - 30*u**3 - u**2 + 10*u**3 + 6*u**2 + 48*u - 41*u**2 + 16 = 0. Calculate u.
-2, -2/7, 1
Factor -60*z**2 - 2*z - 91*z - 3*z**3 - 67 - 39*z + 7*z**3 - 1.
4*(z - 17)*(z + 1)**2
Let t = 19 - 11. Suppose 4*g**3 - 62 + 62 - t*g**2 = 0. Calculate g.
0, 2
Let g(t) be the first derivative of t**6/3 - 54*t**5/5 + 69*t**4 + 1172*t**3/3 + 645*t**2 + 450*t - 249. Find w such that g(w) = 0.
-1, 15
Let c = -13784 - -41354/3. Determine d, given that -c*d**3 - 1/3 + 2/3*d + 1/3*d**2 = 0.
-1, 1/2, 1
Let x be -7 + 14 + (-16)/4. Determine c, given that -15/7*c**x + 6/7*c**2 - 6/7 + 15/7*c = 0.
-1, 2/5, 1
Let z = 44 - 42. What is g in -16*g + 173*g**3 + 27 + 5 - 169*g**3 - 8*g**z = 0?
-2, 2
Let b(o) = -16*o**3 + 4*o**2 - 12. Let v(w) = w**3 - w**2 + w + 1. Let h(c) = -b(c) - 12*v(c). Let h(l) = 0. What is l?
-3, 0, 1
Determine f, given that -123/5*f - 22/5 - 22*f**2 - 9/5*f**3 = 0.
-11, -1, -2/9
Let t(f) = 2*f**2 - 2*f. Let j(x) = x**2 - x. Let b(o) = o**3 - 4*o**2 - 5*o + 6. Let s be b(5). Let d(p) = s*t(p) - 14*j(p). Suppose d(h) = 0. What is h?
0, 1
Let n = 879 - 6141/7. Determine b, given that 0 + 8/7*b + 4/7*b**3 - n*b**2 = 0.
0, 1, 2
Let l(k) be the third derivative of 0*k + 2/5*k**5 - 2/105*k**7 - 10/3*k**3 + 0 - 2/3*k**4 + 52*k**2 + 2/15*k**6. Factor l(q).
-4*(q - 5)*(q - 1)*(q + 1)**2
Factor 16/9*k**2 + 22/3 + 182/9*k.
2*(k + 11)*(8*k + 3)/9
Let y(z) be the second derivative of z**9/216 + z**8/70 + z**7/140 - z**6/90 - 5*z**3/6 + 9*z. Let g(k) be the second derivative of y(k). What is w in g(w) = 0?
-1, 0, 2/7
Let l be (-2059)/(-1131) + 12/(-78). Factor 0*v + 0 - l*v**2.
-5*v**2/3
Let k(n) be the second derivative of -n**4/78 - 32*n**3/13 - 2304*n**2/13 - 3*n - 3. Let k(z) = 0. Calculate z.
-48
Let d(h) be the third derivative of -h**8/112 + 4*h**7/105 - h**6/90 - 11*h**5/90 + 13*h**4/72 - h**3/9 - 118*h**2. Find s such that d(s) = 0.
-1, 1/3, 1, 2
Let j(g) be the third derivative of -3*g**6/220 - 49*g**5/330 - 71*g**4/132 - 31*g**3/33 - g**2 + g. Suppose j(o) = 0. What is o?
-31/9, -1
Let u(s) be the third derivative of s**7/35 - s**6/80 - 13*s**5/10 + 61*s**4/16 - 3*s**3 + 89*s**2. Determine d, given that u(d) = 0.
-4, 1/4, 1, 3
Solve f**3 - 6*f**3 + 0 + 30*f**2 + 3*f**3 - 90*f - 6*f**2 + 100 = 0.
2, 5
Let i(q) be the first derivative of -49/9*q + 7/9*q**2 - 3 - 1/27*q**3. Factor i(r).
-(r - 7)**2/9
Let x(c) be the second derivative of c**5/20 - c**4/4 + 2*c**2 - 424*c. Find y such that x(y) = 0.
-1, 2
Let a(d) = -30*d**3 + 10*d**2 + 106*d - 26. Let j(b) = -6*b**3 + 2*b**2 + 21*b - 5. Let y(w) = -3*a(w) + 14*j(w). Factor y(c).
2*(c - 2)*(c + 2)*(3*c - 1)
Let q(g) = g + 5. Let n be q(-2). Suppose -c**3 - 5*c**n + 2*c**3 = 0. What is c?
0
Let n(c) be the first derivative of -2/7*c**2 + 1 + 0*c + 10/7*c**4 - 2/3*c**3 - 22/35*c**5. Suppose n(s) = 0. What is s?
-2/11, 0, 1
Find n, given that -10 + 8*n**3 + 34*n**3 + 28*n**4 + 2*n + 23*n**2 + 10 + 25*n**3 = 0.
-2, -1/4, -1/7, 0
Let m(i) be the first derivative of -32 + 94*i**3 - 759/4*i**4 + 49*i**6 - 24*i + 147/5*i**5 + 30*i**2. Suppose m(t) = 0. What is t?
-2, -2/7, 2/7, 1/2, 1
Let i(x) be the second derivative of -x**4/60 + 122*x**3/15 + 49*x**2/2 + 435*x. Solve i(v) = 0.
-1, 245
Let g be (2/(-10))/(-8*4/(-140)). Let x = 11/8 + g. Factor 1/2*l**4 - x*l**2 - 1/2*l**3 + 0 + 1/2*l.
l*(l - 1)**2*(l + 1)/2
Factor -624*s**2 + 309*s**2 + 38 - 8 + 33*s + 318*s**2.
3*(s + 1)*(s + 10)
Let r(v) = 2*v**4 - 8*v**3 - 33*v**2 + 20*v + 40. Let l(w) = -7*w**4 + 23*w**3 + 98*w**2 - 60*w - 120. Let s(c) = 3*l(c) + 8*r(c). Factor s(b).
-5*(b - 2)**2*(b + 1)*(b + 2)
Let g(b) = -5*b**5 - 145*b**4 + 150*b**3 - 25*b**2 + 25. Let a(y) = y**5 + 24*y**4 - 25*y**3 + 4*y**2 - 4. Let d(h) = -25*a(h) - 4*g(h). What is z in d(z) = 0?
-5, 0, 1
Let v(i) be the first derivative of -i**3/12 - 103*i**2/8 - 2. Factor v(w).
-w*(w + 103)/4
Let v(b) be the third derivative of -1/120*b**7 - 1/30*b**5 + 1/30*b**6 + 2/3*b**3 + 0*b - 1/6*b**4 + 1/1344*b**8 + 42*b**2 + 0. Factor v(p).
(p - 2)**4*(p + 1)/4
Suppose 2*k = 5*a + 10, 6*k - 8 = 3*k + 4*a. Let -1/3*m**3 - 1/3*m**2 + 0*m + k = 0. What is m?
-1, 0
Let m be (6 - 175/30)*2. Let i(a) be the second derivative of -1/15*a**5 - m*a**4 - 2*a + 0 - 1/2*a**3 - 1/3*a**2. Solve i(y) = 0.
-2, -1/2
Factor -255*l**3 - 12675 - 195*l**3 + 342*l**3 - 1362*l**2 - 7020*l - 3*l**4.
-3*(l + 5)**2*(l + 13)**2
Let p be 35/(-14)*8/(-10). Let t(y) = y**2 + 9 - 9 + y. Let g(d) = 14*d**3 + 33*d**2 + 15*d - 4. Let i(n) = p*g(n) - 18*t(n). Determine b so that i(b) = 0.
-1, 2/7
Let x(k) = -k**3 - 30*k**2 + 114*k + 498. Let w be x(-33). Suppose w*z**5 + 15/2*z**3 + 0 + 3/2*z**2 - 1/2*z + 17/2*z**4 = 0. What is z?
-1, 0, 1/6
Let w(p) be the second derivative of 5*p**7/84 - 11*p**6/12 + 35*p**5/8 - 125*p**4/24 - 2*p - 25. Factor w(c).
5*c**2*(c - 5)**2*(c - 1)/2
Let o(y) be the first derivative of 0*y + 0*y**3 + 13 + 0*y**2 - 1/22*y**4. Determine q so that o(q) = 0.
0
Let a = -1747/126725 - -6/925. Let x = 1228/685 - a. Factor -x - 6/5*c - 1/5*c**2.
-(c + 3)**2/5
Let n(k) be the first derivative of k**6/18 + k**5/3 - 11*k**4/12 - 11*k**3/3 - 3*k**2 + 257. Factor n(q).
q*(q - 3)*(q + 1)**2*(q + 6)/3
Let x(i) be the second derivative of -i**6/120 + 3*i**5/20 - i**4 + 10*i**3/3 - 6*i**2 + 67*i. Factor x(g).
-(g - 6)*(g - 2)**3/4
Let b be ((-2)/(-6))/((-11)/187). Let y = b + 19/3. Suppose 3*j**3 - y - 8*j**2 + 13/3*