**2 - 4/5*v = 0.
-2, -1, 0
Let c be (-93 + (6 + 0)/3)*-1. Let g = c - 818/9. Factor -g*v**2 + 0*v + 1/9.
-(v - 1)*(v + 1)/9
Determine t, given that -2/9*t**5 - 204*t**3 - 11560/9*t**2 + 0 - 104/9*t**4 - 9826/9*t = 0.
-17, -1, 0
Let v(k) = -25*k**4 + 169*k**3 + 78*k**2 - 880*k - 814. Let q(j) = 13*j**4 - 85*j**3 - 39*j**2 + 440*j + 406. Let y(d) = -7*q(d) - 3*v(d). Factor y(n).
-(n - 4)**2*(4*n + 5)**2
Let t(u) = u**2 + 11*u + 2. Let f be t(-12). Let d = 16 - f. Suppose 0 - 1/4*p**3 - 1/2*p**d - 1/4*p = 0. Calculate p.
-1, 0
Let u(d) = d**3 - d - 1. Let b(g) be the third derivative of g**6/30 - g**5/10 + g**4/6 - 2*g**3/3 - 11*g**2. Let q(f) = -b(f) + 2*u(f). Solve q(o) = 0.
1
Let a(k) be the second derivative of -3*k**5/20 + 3*k**4 - 11*k**3/2 + 332*k. Factor a(d).
-3*d*(d - 11)*(d - 1)
Suppose 7*r - 48 = -5*r. Suppose 16 = r*w - u, -w - w + 2*u + 8 = 0. Solve 0*s**2 + 0*s + 0 - 1/4*s**3 - 1/4*s**5 + 1/2*s**w = 0 for s.
0, 1
Let p(a) be the third derivative of 0*a**3 + 1/42*a**4 + 0*a - 1/210*a**6 + 12*a**2 + 0 + 1/105*a**5 - 2/735*a**7. Find s, given that p(s) = 0.
-1, 0, 1
Let v be (60/160)/((-18)/(-5)). Let s(j) be the third derivative of 0 - v*j**4 - 1/30*j**5 + 0*j - 1/240*j**6 - 1/6*j**3 - 3*j**2. Determine l so that s(l) = 0.
-2, -1
Let o be (1 + -2)/(2 - 14/6). Suppose h - 3 = -2*x - 0*h, 0 = 2*x - h + 3. Solve 8/7 + 2/7*q**o + x*q - 6/7*q**2 = 0.
-1, 2
Let y be (12/2)/(2/(-3)). Let n be 3/y - 13/(-3). Factor 3*u**2 - 2*u - 6 - 5*u + n*u.
3*(u - 2)*(u + 1)
Let m = -169 + 171. Let q(k) be the first derivative of -m + 52*k**2 + 35/2*k**4 - 188/3*k**3 - 16*k. Suppose q(n) = 0. Calculate n.
2/7, 2/5, 2
Suppose 0*p + 6/5*p**4 + 0 + 2*p**2 - 18/5*p**3 + 2/5*p**5 = 0. Calculate p.
-5, 0, 1
Let i be 4 - ((-8721)/81)/(13/(-3)). Let g = i + 21. Factor 4/13*p**2 + g*p**3 + 0 + 0*p.
2*p**2*(p + 2)/13
Let i(f) = 41*f**3 + 127*f**2 - 214*f + 11. Let p(o) = 8*o**3 + 25*o**2 - 43*o + 2. Let q(k) = -2*i(k) + 11*p(k). Let q(y) = 0. Calculate y.
-5, 0, 3/2
Let p(x) be the first derivative of 5*x**3/3 - 5*x**2 + 5*x + 598. Factor p(o).
5*(o - 1)**2
Suppose 0 = j + 4*d + 22, -5*d + 61 = 4*j + 83. Let 2/5*z**2 - j*z - 12/5 = 0. Calculate z.
-1, 6
Let b(v) = 2*v**3 + 274*v**2 + 11611*v + 170363. Let w(i) = -i**3 - 138*i**2 - 5805*i - 85181. Let t(l) = -6*b(l) - 10*w(l). Suppose t(n) = 0. Calculate n.
-44
Let r(u) be the first derivative of 0*u**2 + 3/5*u**5 + u**3 - 3/2*u**4 + 0*u - 16. Find g, given that r(g) = 0.
0, 1
Let q(v) be the second derivative of 1/70*v**7 - 1/50*v**6 + 0*v**2 + 1/4*v**4 + 0 + 9*v - 9/100*v**5 - 1/5*v**3. Solve q(n) = 0 for n.
-2, 0, 1
Let a(j) be the second derivative of 0 - 1/2*j**3 + 2/5*j**2 + 2/15*j**4 + 23*j + 3/100*j**5. Factor a(v).
(v - 1)*(v + 4)*(3*v - 1)/5
Factor 28/15 + 6/5*b + 2/15*b**2.
2*(b + 2)*(b + 7)/15
Let o be -2*(-3)/(0 + 3). Solve -179*u**2 + 0*u + 174*u**o - 15*u = 0.
-3, 0
Suppose 7*n - 12*n = -5*a + 6175, -2*n - a = 2473. Let m be (-6)/33 - (n/88)/3. Let -9/2*v - 5/2*v**2 + 7/2*v**4 - 1 + m*v**3 = 0. Calculate v.
-1, -2/7, 1
Let a(p) be the second derivative of -5*p**3/6 - 5*p**2 + 93*p. Let b be a(-2). Factor -2/5*m**2 - 3/5*m**3 + b*m + 0 + m**4.
m**2*(m - 1)*(5*m + 2)/5
Let a(y) be the first derivative of -100*y - 20*y**2 - 4/3*y**3 - 4. What is r in a(r) = 0?
-5
Let h(v) be the second derivative of -v**6/45 + v**5/3 - 13*v**4/18 - 20*v**3/3 - 12*v**2 + 3*v. What is m in h(m) = 0?
-1, 6
Let j(v) = 2*v**2 + 1. Let u(l) = -9*l**2 - 540*l - 14582. Let q(s) = -2*j(s) - u(s). Factor q(h).
5*(h + 54)**2
Let l(j) be the third derivative of -j**5/120 + j**4/24 - j**3/12 - 87*j**2 - 2*j. Factor l(a).
-(a - 1)**2/2
Suppose 0 + 3/2*u**3 - 2/3*u - 1/2*u**5 + 0*u**2 - 1/3*u**4 = 0. What is u?
-2, -2/3, 0, 1
Let g(p) = 3*p**2 - 18*p + 15. Let d(q) = -7*q**2 + 36*q - 29. Let v(o) = 6*d(o) + 13*g(o). Factor v(h).
-3*(h - 1)*(h + 7)
Factor 0*m**3 + 9/2*m**5 + 0 + 0*m + 0*m**2 - 2*m**4.
m**4*(9*m - 4)/2
Let r be (-1314)/207*2/(-48). Let o = r - 1/69. Find v, given that 1/4*v + 1/4*v**2 + 0 - o*v**3 - 1/4*v**4 = 0.
-1, 0, 1
Let g(z) = 4*z - 13. Let q be g(0). Let a be -2 - 45/(-21) - q/7. Solve -6/5*h - 1/5*h**a - 9/5 = 0.
-3
Let z(i) be the second derivative of -i**7/105 + i**6/15 - 3*i**5/50 - 17*i**4/30 + 28*i**3/15 - 12*i**2/5 - 52*i - 3. Suppose z(w) = 0. Calculate w.
-2, 1, 2, 3
Let x(d) be the first derivative of -d**7/1470 + 4*d**6/315 - 3*d**3 + 9. Let v(z) be the third derivative of x(z). Determine s, given that v(s) = 0.
0, 8
Let p(n) = 2*n**4 - n**3 - 4*n - 7. Let b(y) = -y**4 + y**3 + 2*y + 4. Suppose 0 = -4*i + 5 - 1. Suppose k + i = -4. Let s(c) = k*b(c) - 3*p(c). Factor s(g).
-(g - 1)*(g + 1)**3
Let g(f) be the second derivative of 5*f**4/12 - 230*f**3/3 + 5290*f**2 + 8*f + 2. Let g(v) = 0. What is v?
46
Determine c, given that 9/8*c**3 + 0*c**2 + 1/8*c**4 + 0 + 0*c = 0.
-9, 0
Let b = -488 + 493. Let h(k) be the second derivative of 0 + 0*k**2 + 1/6*k**4 - 2/27*k**3 - 9*k - 7/90*k**b. Factor h(m).
-2*m*(m - 1)*(7*m - 2)/9
Let 0*p**3 + 5/3*p**2 - 4/3 + 0*p - 1/3*p**4 = 0. Calculate p.
-2, -1, 1, 2
Let x(d) be the second derivative of 29*d**4/36 + 3*d**3/2 - d**2/3 - 382*d. What is t in x(t) = 0?
-1, 2/29
Let u = 122 + -118. Let g be (u - 6)*(-8 + 3 + 4). Factor 0 + 0*f + 2/7*f**3 + 2/7*f**4 - 4/7*f**g.
2*f**2*(f - 1)*(f + 2)/7
Suppose 264 = 34*y + 98*y. Suppose 0 + 2*a**y + 4/3*a = 0. Calculate a.
-2/3, 0
Let r be (1 + -2)*3170/(-10). Let h = 1269/4 - r. Factor 0 + 1/2*l + h*l**2 - 1/4*l**3.
-l*(l - 2)*(l + 1)/4
Factor -2/3*u**2 - 33800/3 + 520/3*u.
-2*(u - 130)**2/3
Let b be 17/9 + (-2 - 0) - (-3979)/7785. Solve -b - 2*s**3 - 22/5*s**2 - 14/5*s = 0 for s.
-1, -1/5
Suppose 257 = -7*o + 257. Factor 4/5*q + o*q**2 - 4/5*q**3 + 0.
-4*q*(q - 1)*(q + 1)/5
Let s = -305 + 307. Suppose 0 + 4/3*b**s + 2/3*b + 2/3*b**3 = 0. Calculate b.
-1, 0
Let o be ((-14)/(-28))/((-4)/(-90 - -6)). What is p in -o*p**3 - 2*p**4 - 21/2*p**2 + 0 - 2*p = 0?
-4, -1, -1/4, 0
Let f be (236/(-413))/(6/(-21)). Let n be (-2)/(-3) + 6/(-9). Determine v, given that 3*v**f + n + 3/2*v + 3/2*v**3 = 0.
-1, 0
Let m(t) be the first derivative of -t**6/3 - 16*t**5 - 179*t**4 + 560*t**3 - 441*t**2 - 478. Factor m(j).
-2*j*(j - 1)**2*(j + 21)**2
Let w be ((-1)/2)/((-1)/4). Let y be ((-56)/(-420))/(w/10). Find z such that y*z**3 + 2*z**2 - 4/3 - 2/3*z**4 - 2/3*z = 0.
-1, 1, 2
Suppose 0 = -14*l + 17*l - 4*h - 4, -9*l - 5*h + 97 = 0. Suppose -8/3*q - l - 2/9*q**2 = 0. What is q?
-6
Suppose 2*i - 3*i + 3*f + 4 = 0, 20 = -i - 3*f. Let n = i - -12. Factor -32*x**2 - 4 + 0 + n - 24*x**4 - 48*x**3 - 4*x**5.
-4*x**2*(x + 2)**3
Let k be 4 + ((-107)/(-1) - 1). Suppose -21*b = -58 - k. Suppose b*d - 2 - 7/2*d**2 = 0. What is d?
2/7, 2
Let a(d) be the third derivative of 0*d - 1/3*d**4 + 1/2*d**3 + 7/60*d**5 + 9*d**2 + 0 - 1/60*d**6. Factor a(x).
-(x - 1)**2*(2*x - 3)
Let z(a) be the second derivative of a**6/135 - a**5/90 + 47*a. Factor z(n).
2*n**3*(n - 1)/9
Factor 3 + 47/11*y + 1/11*y**3 + 15/11*y**2.
(y + 1)*(y + 3)*(y + 11)/11
Let a(c) be the first derivative of c**6/60 + c**5/60 - c**4/3 - 2*c**3/3 - 15*c**2 + 11. Let g(n) be the second derivative of a(n). Find b such that g(b) = 0.
-2, -1/2, 2
Factor -5*x**2 + 635 - 1273 - 65*x + 638.
-5*x*(x + 13)
Let n(v) = 55*v**4 + 5*v**3 + 10*v. Let c(b) = -18*b**4 - 2*b**3 - 3*b. Let d(x) = -10*c(x) - 3*n(x). Factor d(k).
5*k**3*(3*k + 1)
Let f(k) be the third derivative of -k**5/15 - 4*k**4/3 + 6*k**3 + 8*k**2 - 12*k. Factor f(x).
-4*(x - 1)*(x + 9)
Let v(f) be the third derivative of -f**8/126 - f**7/63 + f**6/60 + f**5/18 + f**4/36 + f**2 + 54*f. Determine l so that v(l) = 0.
-1, -1/4, 0, 1
Let f(c) be the third derivative of -1/210*c**7 + 0*c + 0*c**3 + 0 + 1/60*c**5 - 14*c**2 + 0*c**4 - 1/336*c**8 + 1/120*c**6. Let f(m) = 0. What is m?
-1, 0, 1
Let g be (-4 + 6 + -1)*5. Suppose 0 = -g*p + 5*n + 15, 3 = -2*n + 1. Determine y, given that -2 - 2*y - 1/2*y**p = 0.
-2
Let -66 + 41*c**2 + 38*c**2 + 35*c**2 - 116*c**2 + 18*c + 50*c = 0. What is c?
1, 33
Let y(i) = i - 2. Let k(l) = 5*l**2 + 46*l + 53. Let o(h) = k(h) + 4*y(h). Find u, given that o(u) = 0.
-9, -1
Let l(f) = -168 + 106 + 124 + 6*f. Let o be l(-10). Determine c so that 1/6*c + 1/3*c**o + 0 - 1/3*c**4 - 1/6*c**5 + 0*c**3 = 0.
-1, 0, 1
Let y(f) be the 