 Factor z(q).
-q**3/2
Suppose 4*c = 4*z - 140, -4*c = -0*z + 3*z + 119. Let x = 34 + c. Let 20*y + 0*y**2 - 16*y**x + 11 - 11 - 4*y**3 = 0. What is y?
-5, 0, 1
Let f(k) be the first derivative of k**7/420 - k**6/12 + 19*k**5/30 - 2*k**4 + 8*k**3/3 - 5*k**2 - 11. Let p(n) be the third derivative of f(n). Factor p(v).
2*(v - 12)*(v - 2)*(v - 1)
Let w(o) be the second derivative of -1/231*o**7 + 40/33*o**4 - 8/165*o**6 - 2/55*o**5 + 0 - 143*o - 256/11*o**2 + 64/33*o**3. Factor w(k).
-2*(k - 2)**2*(k + 4)**3/11
Let q(i) be the second derivative of -2*i**5/5 + 281*i**4/3 - 19880*i**3/3 + 9800*i**2 + 638*i. What is n in q(n) = 0?
1/2, 70
Let b(o) be the first derivative of o**6/5 + 52*o**5/25 - 41*o**4/10 - 16*o**3/15 + 4*o**2 + 5816. Solve b(z) = 0.
-10, -2/3, 0, 1
Let a be -13 + 12 + (-15)/(105/(-28)). Let y(f) be the first derivative of -1/10*f**4 + 0*f - 4/5*f**a + 23 - f**2. Solve y(t) = 0 for t.
-5, -1, 0
Suppose -37*z + 16 = -29*z. Factor 2*a**3 + 5*a - 1184*a**2 + 17*a - 12 + 1172*a**z.
2*(a - 3)*(a - 2)*(a - 1)
Let i be (-54)/(-84)*28/12. Let s(u) be the second derivative of -u**3 + 0 - 10*u + 1/4*u**4 + i*u**2. Find g such that s(g) = 0.
1
Suppose -4*q + 18*b + 198 = 24, -4*q - 2*b - 6 = 0. Suppose 33/7*n**2 + 32/7*n + 44/7*n**4 - 113/7*n**q + 4/7 = 0. What is n?
-1/4, -2/11, 1, 2
Let z = -89162/5 + 357413/20. Solve 3*w**2 - 39/4 + z*w = 0 for w.
-13, 1/4
Let y(l) be the third derivative of -l**8/336 - l**7/10 - 83*l**6/120 - 13*l**5/20 + 6*l**4 - 4*l**2 + 352*l. Determine s, given that y(s) = 0.
-16, -3, 0, 1
Let m(o) = -o**3 + 25*o**2 - o + 30. Let n be m(25). Factor -n*l**2 + 316*l**3 - 8*l - 12 + 21*l**2 - 308*l**3 - 4*l**4.
-4*(l - 3)*(l - 1)*(l + 1)**2
Suppose 6*a - 90 = -18*a - 21*a. Let b(y) be the third derivative of 0*y**5 + 0 + 0*y + 0*y**4 - 20*y**a + 1/160*y**6 + 0*y**3. Factor b(h).
3*h**3/4
Let p(g) be the second derivative of g**5/90 - 77*g**4/27 + 1465*g**3/27 - 400*g**2 + 2*g + 3251. Solve p(l) = 0.
5, 144
Solve -75 + 1/3*i**3 - 51*i + 73/3*i**2 = 0 for i.
-75, -1, 3
Suppose 5*v + 11 = 4*y, -5*y + 5 = -5*v - 5. Let b be y*2*4/(-8)*2. Suppose -4 - w - w**2 - w**2 + 3*w + 4*w**b = 0. Calculate w.
-2, 1
Let q(o) be the second derivative of -52*o - 2/25*o**5 - 1/2*o**4 - 11/10*o**2 - 16/15*o**3 + 3 + 1/150*o**6. Suppose q(g) = 0. Calculate g.
-1, 11
Let n(j) be the third derivative of j**5/90 + 62*j**4/9 - 83*j**3/3 + 10265*j**2. Suppose n(p) = 0. Calculate p.
-249, 1
Let t be (-16)/(-10) + 0 + 731/215. Let d(i) be the second derivative of -i**3 + 0*i**2 - 3/20*i**t + 35*i + 3/4*i**4 + 0. Factor d(w).
-3*w*(w - 2)*(w - 1)
Factor 5/3*h**3 - 1/3*h**4 - 27*h + 3*h**2 + 36.
-(h - 3)**3*(h + 4)/3
Let k = 5341 - 5329. Let x(g) be the third derivative of 0*g**4 + 0*g + 0 - k*g**2 - 1/600*g**6 + 0*g**3 + 1/300*g**5. Solve x(f) = 0.
0, 1
Factor -3/2*m**2 - 579/2 + 291*m.
-3*(m - 193)*(m - 1)/2
Let j be (-42)/147 + ((-51)/(-7) - 7). Let o(s) be the third derivative of 1/240*s**6 + 0*s**5 + 31*s**2 + 0 + j*s + 0*s**3 + 0*s**4. Factor o(f).
f**3/2
Factor -1/2*b**2 + 12*b + 0.
-b*(b - 24)/2
Let t = 17560 - 17560. Let b(k) be the second derivative of 0 + 29*k + t*k**2 - 2/5*k**5 - 1/3*k**3 - 5/6*k**4. Factor b(u).
-2*u*(u + 1)*(4*u + 1)
Let b = 4/1809 - 119/144720. Let t(m) be the third derivative of -7/144*m**4 + 0*m + 0 + 27*m**2 + b*m**6 + 1/6*m**3 + 0*m**5. Factor t(n).
(n - 2)*(n - 1)*(n + 3)/6
Let q(b) = -12*b**3 - b**2 + b + 12. Let x be q(-2). Let l be 12/34 + (-12)/x. Factor -l*f - 2/17*f**2 + 6/17.
-2*(f - 1)*(f + 3)/17
Let h = 60 + -56. Suppose -j**h - 25*j**2 + 3309*j**5 - 3314*j**5 + 6*j**4 + 45*j**3 + 60 - 80*j = 0. Calculate j.
-2, 1, 3
Let v be (29*30/1305)/((-3)/(-16*3)). Let -44*h**2 - 48*h - 16/3 - v*h**3 = 0. Calculate h.
-2, -1/8
Let d be 24*(-12)/96 + 1 + 6. Let x(q) be the second derivative of -d*q**2 + q**3 - 6*q + 1/6*q**4 + 0. Find o such that x(o) = 0.
-4, 1
Let g(r) = 1250*r**2 - 1970*r + 175. Let p(k) = 114*k**2 - 179*k + 16. Let b(l) = 6*g(l) - 65*p(l). What is f in b(f) = 0?
1/18, 2
Suppose 176*x - 1656 = 188*x. Let n = x - -141. Solve 11/3*j - 1/3*j**4 + 2 - j**n + j**2 = 0.
-3, -1, 2
Let j(l) = 2*l**2 - 7*l + 5. Let x = -86 - -85. Let m(u) = u**2 - 1. Let t(i) = x*m(i) + j(i). Find s such that t(s) = 0.
1, 6
Let v be ((-48)/(-64))/(2/8). Let j be (v/(-6))/((9/4)/(-9)). Factor -4*b + 4*b**3 - 6*b + 10*b + 4*b**j.
4*b**2*(b + 1)
Let o(i) = -i**2 + 25*i - 119. Let x be o(21). Let k be (-44)/(-33)*(-126)/x. Factor -2/5*q**3 - 6/5*q**2 + 32/5*q - k.
-2*(q - 2)*(q - 1)*(q + 6)/5
Factor 11696*s**3 - 11700*s**3 + 1823*s - 571*s - 700*s**2 - 628 + 80*s**2.
-4*(s - 1)**2*(s + 157)
Find r such that -56*r + 74*r**2 + 70*r**3 + 167764*r**4 - 16*r + 2*r**5 - 167838*r**4 = 0.
-1, 0, 1, 36
Let a = 121 - 837/7. Let h be (8064/3072 - 9/(-12)) + 1/(-8)*3. Solve 2/7*t**h + 0 + 8/7*t - a*t**2 = 0.
0, 1, 4
Let z(d) = -d**3 + 4*d**2 + 4*d - 6. Let b be z(2). Solve 120 - 48*u**3 + b*u**2 - 54*u**3 + 100*u - 55*u**3 + 152*u**3 = 0 for u.
-2, 6
Let c = -12309 - -12309. Let f(g) be the third derivative of 0*g**7 + 0*g**4 + 0*g - 4*g**2 + 0 - 1/504*g**8 + 1/60*g**6 + c*g**3 + 1/45*g**5. Factor f(n).
-2*n**2*(n - 2)*(n + 1)**2/3
Let m(b) be the first derivative of 1/4*b**4 + 1/3*b**3 + 1/2*b**2 - b - 26. Let i(a) = 5*a**3 + 7*a**2 + 11*a - 3. Let q(l) = -i(l) + 6*m(l). Solve q(g) = 0.
-1, 3
Factor -125*g + 145/3*g**2 - 7*g**3 + 1/3*g**4 + 250/3.
(g - 10)*(g - 5)**2*(g - 1)/3
Let j = -14/29539 + 59260/384007. Determine r so that 648/13 - 576/13*r - j*r**3 - 70/13*r**2 = 0.
-18, 1
Let j be ((-8)/305)/(2 + (-2673)/1260). Let a = j + -6/61. Let -4/17*m**2 + 2/17*m**3 + a*m + 0 = 0. What is m?
0, 1
Suppose 163*c - 152*c - 1397 = 0. Let g = 129 - c. Factor 9/4*h**g + 5/4*h + 1/4 + 7/4*h**3 + 1/2*h**4.
(h + 1)**3*(2*h + 1)/4
Let p be (-62)/651 - 2188/(-42). Factor 5 - 50*k**2 + 5*k - 7 + k**3 + p - 6*k**3.
-5*(k - 1)*(k + 1)*(k + 10)
Let q = -210 - -219. Factor -30*l**3 + 14*l + 35*l + 2*l**5 - 4*l**4 - q*l - 8*l**2.
2*l*(l - 5)*(l - 1)*(l + 2)**2
What is u in -104/7 - 74*u + 10/7*u**2 = 0?
-1/5, 52
Suppose -18*w = -12*w - 30. Let r(g) = 5*g**3 - 65*g**2 + 380*g - 620. Let v(s) = 5*s**3 - 63*s**2 + 381*s - 619. Let p(c) = w*v(c) - 6*r(c). Solve p(t) = 0.
5
Suppose 1136/3*b + 2/3 + 1132/3*b**3 + 2266/3*b**2 = 0. What is b?
-1, -1/566
Suppose 0 = -7*h + 28 + 49. Let u be 1/3*(155/10 - h). Factor 0 - 3*c + u*c**2.
3*c*(c - 2)/2
Factor 98 + 249*i - 12*i**2 + 15*i**2 - 47 - 51.
3*i*(i + 83)
Let p be ((-4)/21*36/30)/(-31 - (-22542)/728). Find r, given that 2/5*r**2 - 16/5*r + p = 0.
4
Let u be (-275)/(-165)*(-156)/(-650). Solve 2/5 - 2/15*d - u*d**2 + 2/15*d**3 = 0 for d.
-1, 1, 3
Let u be 30/2 + -68 + (-2226)/(-42). Solve 7/2*t**2 - 55/8*t**4 - t + u + 3/4*t**3 - 25/8*t**5 = 0 for t.
-2, -1, 0, 2/5
Let p(s) = s**3 - 24*s**2 - 112*s + 1. Let d be p(28). Let m be d/(-5) - 1 - (-48 + 46). What is z in 0 - 6/5*z**3 + m*z**2 + 2/5*z**4 + 0*z = 0?
0, 1, 2
Let r(p) be the first derivative of 0*p**2 + 1/10*p**5 + 1/3*p**3 - 14 - 1/3*p**4 + 25*p. Let a(t) be the first derivative of r(t). Find y such that a(y) = 0.
0, 1
Let p(d) = d + 2. Let h be p(0). Let w(j) = 4*j**2 - 32*j - 18976. Let i be w(-65). Factor 11*f**3 + 25/4*f - 1 - 2*f**i - 27/2*f**h.
-(f - 4)*(2*f - 1)**3/4
Let n(c) be the first derivative of c**8/840 - c**7/140 + c**6/90 - 176*c**3/3 - 54. Let g(u) be the third derivative of n(u). Factor g(i).
2*i**2*(i - 2)*(i - 1)
Factor -12 - 711/2*a**2 - 717*a.
-3*(a + 2)*(237*a + 4)/2
Let c(f) be the third derivative of f**6/60 + 7*f**5/2 - 891*f**4/4 + 15367*f**3/3 - f**2 - 340*f. Factor c(l).
2*(l - 11)**2*(l + 127)
Let x(n) be the first derivative of -26/3*n**3 + 8*n - 115 + 4*n**2 + 5/2*n**4. Determine z, given that x(z) = 0.
-2/5, 1, 2
Solve 2025 + 189/4*u**2 - 810*u - 3/4*u**3 = 0 for u.
3, 30
Let t(m) be the third derivative of m**6/240 - 13*m**5/40 - 65*m**4/24 + 14*m**3 + 44*m**2 + 2*m - 47. Suppose t(l) = 0. Calculate l.
-4, 1, 42
Suppose -3*f - 60 = -72. Suppose 6 = -b + f*b. Factor -4 - 14*t**b + 4*t**2 + 12*t + 4*t**3 - 2*t**2.
4*(t - 1)**3
Let p(i) be the first derivative of -i**6/6 + 4*i**5/5 + 2*i**4 - 14*i**3/3 - 7*i**2/2 + 10*i + 1311. Determine c so that p(c) = 0.
-2, -1, 1, 5
Suppose -i - 12 = -4*c, -7 = -3*c + 2*i + 7. Facto