*c - 313. Factor a(m).
-(m - 4)*(m + 3)
Suppose v + 4*r - 53 = -2*v, -2*v = -r - 28. Suppose 4*w - v = 1. Find f, given that -w*f**5 + 7*f**3 + 8*f + 4*f**4 + 9*f**3 - 20*f**2 - 4*f**3 = 0.
-2, 0, 1
Let v = -9 + 13. Suppose -i + 8*n - 4*n + 34 = 0, 112 = 4*i - v*n. Factor 4*g - 14*g**2 - g + 8*g**5 - g + 30*g**3 - i*g**4.
2*g*(g - 1)**3*(4*g - 1)
Let t(v) = v**3 + 17*v**2 - 17*v + 25. Let q be t(-18). Let r(x) be the third derivative of -q*x**2 + 0 - 3/20*x**5 - 1/6*x**3 + 0*x - 1/4*x**4. Factor r(i).
-(3*i + 1)**2
Let z(l) = 5*l**3 + l**2 + l + 1. Let d(c) = c**3 + c**2 + c + 1. Let t be 2 + -4 + 4 + -1. Let a(u) = t*z(u) - d(u). Factor a(s).
4*s**3
Factor 13*s + 1224*s**2 + 6*s + 1216*s**2 - 4*s - 2441*s**2 - 56.
-(s - 8)*(s - 7)
Let r(l) be the second derivative of -l**6/280 + 3*l**5/70 - 3*l**4/14 + 4*l**3/7 - 4*l**2 - 7*l. Let z(u) be the first derivative of r(u). Factor z(v).
-3*(v - 2)**3/7
Factor -512/9 + 64/9*v - 2/9*v**2.
-2*(v - 16)**2/9
Let k = 1 + -1. Let z = k - -3. Factor -4*j - 2*j**z + 7*j + 2*j**2 + j - 4*j**3.
-2*j*(j - 1)*(3*j + 2)
Let o be ((-1)/5)/(-5 - (-354)/72). Solve 6/5 + o*z**2 + 3*z + 3/5*z**3 = 0.
-2, -1
Let o(l) be the third derivative of -l**4/12 - 3*l**3/2 + 2*l**2. Let g be o(-6). Factor 0*v**3 - 8*v - g*v**2 - 4 + 2*v**3 + v**4 + 4*v**3 - 4*v**3.
(v - 2)*(v + 1)**2*(v + 2)
Let q(y) = -14*y**4 - 18*y**3 + 82*y**2 - 70*y + 12. Let a(x) = -x**3 + x**2 - x. Let b(g) = 8*a(g) - q(g). Solve b(l) = 0.
-3, 2/7, 1
Let c = 181/20 - 9. Let t(x) be the third derivative of 0*x**3 - c*x**5 + 0*x**4 + 1/40*x**6 + 0*x + 0 - 1/112*x**8 + 1/70*x**7 + 5*x**2. Solve t(l) = 0.
-1, 0, 1
Let r = -67 + 85. Let u be ((-26)/(-156))/(2/r). Determine d so that -7/2*d - d**2 - u = 0.
-3, -1/2
Let j(q) = -45*q**3 + 170*q**2 + 440*q + 225. Let f(y) = 5*y**3 - 19*y**2 - 49*y - 25. Let s(t) = 35*f(t) + 4*j(t). Let s(r) = 0. Calculate r.
-1, 5
Let l be 2/(-7) + 116/14. Determine b so that l*b**4 - 4*b**2 - 7*b**3 + 2*b**3 + b**3 = 0.
-1/2, 0, 1
Let l(h) be the second derivative of h**5/20 + 7*h**4/12 - 20*h**3/3 + 22*h**2 + 10*h - 4. Find r, given that l(r) = 0.
-11, 2
Let z(q) = 5*q**2 + 23*q + 47. Let k(h) = -9*h**2 - 45*h - 95. Let o(w) = 3*k(w) + 5*z(w). Factor o(s).
-2*(s + 5)**2
Suppose 0 = 64*h - 238 - 18. Let w(n) be the first derivative of -4/9*n**3 - 1/9*n**6 - 5/6*n**h + 0*n**2 - 5 - 8/15*n**5 + 0*n. Factor w(z).
-2*z**2*(z + 1)**2*(z + 2)/3
Solve -1/2*y**3 - 3/2*y**4 + 3/2*y**2 + 0*y + 0 + 1/2*y**5 = 0 for y.
-1, 0, 1, 3
Let q(s) be the third derivative of -s**5/60 - 97*s**4/6 - 18818*s**3/3 + 468*s**2. Find t, given that q(t) = 0.
-194
Let n(r) be the first derivative of r**4/4 + 20*r**3 + 600*r**2 + 8000*r + 46. Find q such that n(q) = 0.
-20
Let q be (28/(-21))/((-8)/6). Let 3 - 5 + q - 3*z**2 + 4*z**2 = 0. What is z?
-1, 1
Suppose 2*v + 3*h = -2, -4*v + 3*h = -5*v - 4. Factor 13*a**2 + 0*a - 17*a**v - 8*a + 0*a.
-4*a*(a + 2)
Let f(u) = u**2 - 7*u - 2. Let y be f(8). Suppose -m - y = -4*m. Factor -v**m - 2*v**2 + v**2 + 16*v + 12 + 6*v**2.
4*(v + 1)*(v + 3)
Suppose i + 4*u - 8 = 5*i, 2*u = i + 7. Determine b so that -62*b**2 + 29*b**2 + 4*b**i - 8*b + 29*b**2 = 0.
-1, 0, 2
Suppose 15 = -23*d + 84. Let q(y) be the second derivative of -2*y - 1/3*y**2 + 0 - 2/9*y**d - 1/18*y**4. What is g in q(g) = 0?
-1
Let o be (1232/(-110))/(1/(-5)). Factor -11*y**2 - 129 + 19*y + o + 64 + 2*y**3 - y**3.
(y - 9)*(y - 1)**2
Let s(c) = 8*c**2 - 18*c - 21. Let k(v) = 3*v**2 - 6*v - 7. Let q(g) = -11*k(g) + 4*s(g). Let b be q(-3). Factor 6 + 2*p**b - p**2 + 2*p**3 - 14 + 5*p**2.
2*(p - 1)*(p + 2)**2
Let v(y) be the second derivative of 0 + 3/2*y**3 - 15/14*y**2 - 9/70*y**6 + 39/70*y**5 + 1/98*y**7 - 9*y - 17/14*y**4. Let v(i) = 0. Calculate i.
1, 5
Let t(c) be the second derivative of 3*c + 1/5*c**5 + 0 + 0*c**4 + 7/15*c**6 + 0*c**3 + 0*c**2. Factor t(v).
2*v**3*(7*v + 2)
Suppose 0 = 12*a - 32 - 64. Determine d so that -4*d + 4*d**4 + 4*d**3 + 0*d**3 - a*d**2 + 4*d**2 = 0.
-1, 0, 1
Solve 1/5*n**4 - 3/5*n**2 + 8/5*n - 2/5*n**3 - 4/5 = 0 for n.
-2, 1, 2
Let w(o) be the third derivative of -2*o**7/735 + o**6/21 - 3*o**5/35 + 336*o**2. Let w(r) = 0. What is r?
0, 1, 9
Factor -18*h**2 - 26*h**2 + 85*h**2 + 212 + 214*h - 18*h**2 - 21*h**2.
2*(h + 1)*(h + 106)
Let f be 144/26 + (-42)/7. Let j = f + 68/91. Factor 2/7*v**2 - 2/7 - 2/7*v + j*v**3.
2*(v - 1)*(v + 1)**2/7
Let s(o) be the third derivative of o**6/120 + 3*o**5/20 + 13*o**4/12 + 4*o**3 + 8*o**2 + 10. Factor s(w).
(w + 2)*(w + 3)*(w + 4)
Let b be ((-4)/8)/(15/(-10)). Determine j, given that -b + 2/3*j - 1/3*j**2 = 0.
1
Let y be 2 - (-3)/3*-1. Let l be (2 - y) + 76 + -2. Factor -6*a + 15*a**5 - 75 - 3*a**2 + 39*a**4 + 27*a**3 + l.
3*a*(a + 1)**3*(5*a - 2)
Determine m, given that 9/2 + 43/10*m**2 - 1/2*m**3 - 99/10*m = 0.
3/5, 3, 5
Let m = 2120 - 14836/7. Solve -m*l - 2/7 - 2/7*l**2 = 0 for l.
-1
Let 774*n - 71*n**2 + 42*n**2 + 561*n + 34*n**2 = 0. Calculate n.
-267, 0
Let j(r) = 88*r**4 + 720*r**3 + 952*r**2 - 44*r - 336. Let d(t) = 16*t**4 + 131*t**3 + 173*t**2 - 8*t - 61. Let v(z) = 28*d(z) - 5*j(z). Factor v(a).
4*(a + 1)**2*(a + 7)*(2*a - 1)
Let l(w) be the first derivative of 2*w**5/105 - 17*w**4/42 - 38*w**3/63 + 17*w**2/21 + 12*w/7 + 29. What is v in l(v) = 0?
-1, 1, 18
Let j(c) be the second derivative of -c**7/14 + c**6/5 + 9*c**5/20 - c**4 - 2*c**3 + 55*c + 1. Solve j(t) = 0 for t.
-1, 0, 2
Let a(d) be the first derivative of -d**3 + 18*d**2 - 33*d - 125. What is n in a(n) = 0?
1, 11
Let r(h) be the third derivative of h**6/210 - 2*h**5/105 - 2*h**4/21 + 16*h**3/21 - 8*h**2. Suppose r(j) = 0. Calculate j.
-2, 2
Let i(d) be the third derivative of -d**6/300 + 23*d**5/50 - 102*d**4/5 + 1156*d**3/15 + 45*d**2 + 2. Let i(z) = 0. Calculate z.
1, 34
Suppose 20*h + 1537*h**2 - 1639*h**2 + 6*h**3 + 6*h**3 - 2*h**3 = 0. What is h?
0, 1/5, 10
Suppose 5*q - 5 = 0, 1 = 3*v - q - 4. Let 12*p**2 + 11*p**2 - v - 24*p**2 + p + 2*p = 0. What is p?
1, 2
Suppose 12*p + 2/3*p**2 + 64/3 = 0. What is p?
-16, -2
Let q(f) be the second derivative of f**6/150 - f**5/30 + f**4/15 + 11*f**3/6 - 17*f. Let n(c) be the second derivative of q(c). Factor n(t).
4*(t - 1)*(3*t - 2)/5
Let s(w) be the second derivative of -w**4/6 - 68*w**3/3 + 42*w + 3. Factor s(x).
-2*x*(x + 68)
Let o(d) be the third derivative of -d**8/1680 - d**7/630 + 7*d**6/720 - d**5/60 + d**4/3 - 2*d**2. Let x(q) be the second derivative of o(q). Factor x(b).
-(b + 2)*(2*b - 1)**2
Suppose 0 = 93*m - 0 - 0. Determine d so that -1/3*d + 2/3*d**2 + m - 1/3*d**3 = 0.
0, 1
What is r in 3/2*r**2 + 54 + 18*r = 0?
-6
Let v be (-44)/(-10) - (-1 - (-28)/20). Factor 32*b - 12*b + 6 + 18 - v*b**2.
-4*(b - 6)*(b + 1)
Let p = -1012853 - -786986989/777. Let v = p - -2/111. Suppose 6/7*s**2 + 2/7 + 6/7*s + v*s**3 = 0. What is s?
-1
Let w(o) be the first derivative of -o**6/30 - 3*o**5/25 + 73*o**4/20 - 173*o**3/15 - 36*o**2/5 + 176*o/5 - 71. Find k, given that w(k) = 0.
-11, -1, 1, 4
What is g in -7*g**3 + 3*g**4 - 9*g - g**5 - 3*g**2 + g**3 + 16*g**3 - 5 + 5*g**2 = 0?
-1, 1, 5
Suppose -5*i + 5*l = 45, -4*i + 2*i - 5*l + 17 = 0. Let g be (-2 - i)/(2/3). Let -3*n**g - 3*n**2 + 6*n**2 + n**5 - 5*n**2 = 0. What is n?
-1, 0, 2
Let o = -19 + 21. Factor -4*r**o - 2*r**4 + 7*r**4 + 2*r**2 + 1 - 4*r**4.
(r - 1)**2*(r + 1)**2
Let v(k) be the third derivative of k**8/1344 - k**7/140 - 7*k**6/480 - 168*k**2. Determine f so that v(f) = 0.
-1, 0, 7
Let s = 140 - 137. Suppose -24*u**s + 23*u + 12*u**5 - 16*u - 4*u**4 + 8*u**2 + 5*u - 5 + 1 = 0. What is u?
-1, 1/3, 1
Let a be 4 + -4 + 6 + 2/(-1). Suppose 3*g - 6*g - 5*o + a = 0, -3 = 3*o. Factor 2*m - 4/5 - 6/5*m**g + 8/5*m**2.
-2*(m - 2)*(m + 1)*(3*m - 1)/5
Let q(w) be the first derivative of -1/3*w**6 + 3*w**2 + 6/5*w**5 - w**4 - 2*w - 4/3*w**3 - 18. Factor q(o).
-2*(o - 1)**4*(o + 1)
Let h = 1858/7 + -4111/21. Let x = -67 + h. Let 2/3*z**2 + x*z - 8/3 - 2/3*z**3 = 0. Calculate z.
-2, 1, 2
What is p in 150 - 10*p + 1/6*p**2 = 0?
30
Let q be (-3)/4*4/(9/(-9)). Factor 8 + 4*g**q - 9*g**3 + 12*g**2 - 18*g + 3*g**3.
-2*(g - 4)*(g - 1)**2
Let n(k) be the first derivative of k**7/210 - k**6/30 - 3*k**5/10 - 5*k**4/6 + k**3 - 8. Let r(l) be the third derivative of n(l). Find z, given that r(z) = 0.
-1, 5
Let k be ((-4)/5)/((-10)/