vative of -y**6/20 + 137*y**5/30 - 29*y**4 + 172*y**3/3 + 2*y**2 - 3113. Factor z(u).
-2*(u - 43)*(u - 2)*(3*u - 2)
Let r(j) = 11*j**4 - 2212*j**3 + 2213*j**2 + 9*j. Let t(k) = -75*k**4 + 15485*k**3 - 15490*k**2 - 60*k. Let v(i) = 20*r(i) + 3*t(i). Factor v(g).
-5*g**2*(g - 442)*(g - 1)
Let h(j) be the third derivative of 1/12*j**5 + 0*j - 50/3*j**4 - 4*j**2 + 4000/3*j**3 - 1. Determine q, given that h(q) = 0.
40
Let -91/2 + 1/4*g**2 - 19/4*g = 0. What is g?
-7, 26
Let t(z) be the third derivative of -1/12*z**4 - 2*z**2 + 0*z - 1/150*z**5 + 22 + 0*z**3. Suppose t(m) = 0. Calculate m.
-5, 0
Let h(q) be the first derivative of -8*q**3/9 + 739*q**2/3 + 370*q/3 + 2105. Suppose h(g) = 0. What is g?
-1/4, 185
Let p be -24 - -33 - (-15)/(2 + -7). Let b(r) be the second derivative of -24*r - 1/10*r**5 + 1/45*r**p + 1/6*r**4 + 0*r**2 - 1/9*r**3 + 0. Factor b(i).
2*i*(i - 1)**3/3
Let r(k) be the third derivative of -k**8/1680 + 9*k**7/350 - 41*k**6/150 - 76*k**5/75 + 28*k**4/5 + 392*k**3/15 + 850*k**2. Suppose r(p) = 0. What is p?
-2, -1, 2, 14
Suppose 7*d + 0*d - 14 = 0. Factor -d*s**3 + 125 - 129 + 8*s + 0*s**3 - 5*s**2 + 3*s**3.
(s - 2)**2*(s - 1)
Let p(q) be the second derivative of -q**5/60 + q**4/8 + 2*q**3/3 - 19*q**2/2 - 8*q - 2. Let u(t) be the first derivative of p(t). Factor u(v).
-(v - 4)*(v + 1)
Suppose -3*w = -7*h + 8*h - 6, 0 = 5*h - w + 2. Let r(t) be the second derivative of h - 4/3*t**2 + 1/18*t**4 - 23*t + 1/3*t**3. Factor r(s).
2*(s - 1)*(s + 4)/3
Let c(u) = -3*u**2 + 292*u - 239. Let z(f) = 3*f**2 - 293*f + 250. Let y(w) = 4*c(w) + 5*z(w). Determine o, given that y(o) = 0.
1, 98
Let g(h) be the second derivative of -h**5/50 + 13*h**4/30 + 121*h**3/15 - 133*h**2/5 + 1441*h. Factor g(d).
-2*(d - 19)*(d - 1)*(d + 7)/5
Suppose 194/9*g**3 + 1918/9*g - 2*g**4 + 340/9 + 1790/9*g**2 = 0. What is g?
-5, -1, -2/9, 17
Suppose -4*i + 4*t + 28 = 0, 5*t + 17 = -3. Suppose i*k - 32 = k. Determine m, given that 1 - 18*m + 7*m**2 - k - 10*m**2 = 0.
-5, -1
Let s(n) be the first derivative of n**7/14 - n**6/10 + 55*n - 16. Let z(y) be the first derivative of s(y). Factor z(t).
3*t**4*(t - 1)
Let x(s) be the first derivative of s**3/3 + 7*s**2/2 + 3*s + 5. Let o be x(-7). Factor 12 + o*z**2 + 3*z**2 - 2*z**2 + 0*z**2 - 16*z.
4*(z - 3)*(z - 1)
Factor -1/10*w**4 - 23*w - 281/10*w**2 - 26/5*w**3 + 0.
-w*(w + 1)*(w + 5)*(w + 46)/10
Solve -8/3*u + 2/3*u**2 - 640/3 = 0.
-16, 20
Factor -68 + 2486*g**2 - 827*g**2 - 76*g - 838*g**2 - 829*g**2.
-4*(g + 1)*(2*g + 17)
Factor 104*a - 65131 + 5*a**2 + 65771 - a**2.
4*(a + 10)*(a + 16)
Let z(o) = -18*o**2 + 98*o + 96. Suppose 11*x + 14 = 47. Let h(l) = -13*l**2 + 98*l + 96. Let q(a) = x*z(a) - 4*h(a). Solve q(v) = 0 for v.
-48, -1
Let o(t) = t**3 - t**2 + t - 4. Let i(f) = -10*f**3 + 13*f**2 - 14*f + 44. Let j(c) = -2*i(c) - 22*o(c). Factor j(m).
-2*m*(m - 1)*(m + 3)
Suppose 3*m - 60 = -3*a, -632*m + 636*m - 3*a = -39. Factor 0*b**2 + 13/10*b - 6/5 - 1/10*b**m.
-(b - 3)*(b - 1)*(b + 4)/10
Let s(z) be the second derivative of 0*z**5 + 3 + 1/120*z**6 + 0*z**3 + 4*z + 0*z**4 + 0*z**2. Let s(m) = 0. What is m?
0
Let k(g) = -g**2 - 2*g - 1. Let m(p) = -1168552*p**2 - 8630*p - 7. Let s(w) = -9*k(w) - m(w). Find f such that s(f) = 0.
-4/1081
Factor -208 + 133 + 5*c**3 - 44*c**2 + 35*c + 137*c**2 - 58*c**2.
5*(c - 1)*(c + 3)*(c + 5)
Let p(j) be the second derivative of -1/5*j**5 + 0 + 10*j**2 + 2/3*j**3 - 5/3*j**4 + 219*j. Suppose p(k) = 0. What is k?
-5, -1, 1
Let v be 162/(-405)*(26 - 1). Let y be (-11)/(-22)*v - -7. Solve y + 1/4*g**2 - 3/2*g = 0 for g.
2, 4
Let c(x) be the third derivative of -90*x**2 + 2*x**3 + 0 - 1/120*x**6 - 1/12*x**5 + 0*x + 1/3*x**4. Factor c(z).
-(z - 2)*(z + 1)*(z + 6)
Let w = 11/2 - 1. Suppose -d - 3 = r - 10, -5*r = -3*d - 3. Let 3/2*p**r + 0 + 3*p**2 + 0*p - 6*p**4 - w*p**5 = 0. What is p?
-1, 0, 2/3
Suppose 4*x = 4*s, 0*s - 5*x - 20 = 5*s. Let w be 16/(-3)*s/(-4)*-2. Suppose -w*k - 8*k**3 - 32/3*k**2 - 1/3*k**5 - 8/3*k**4 + 0 = 0. Calculate k.
-2, 0
Let r(g) = 5*g**2 - 3*g + 2. Let m be r(2). Suppose -4*o - 4*o = -m. Factor -85*c**2 - 59*c**o - 22*c**3 - 11*c - 3 - 28*c - 86*c**3.
-3*(c + 1)*(6*c + 1)**2
Suppose -5*j + 31 = 1. What is s in j + 0*s**2 + s**2 + 9 - 105*s + 97*s = 0?
3, 5
Let k(z) be the second derivative of 21/2*z**2 - 21/2*z**4 + 33 - 2*z + 1/2*z**3 - 3/14*z**7 + 15/2*z**5 - 13/10*z**6. Solve k(s) = 0.
-7, -1/3, 1
Let i(x) = -57*x**2 + 42*x + 17. Let v be (8/(-14))/((-18)/63). Let m(r) = 58*r**2 - 43*r - 18. Let c(b) = v*m(b) + 3*i(b). Factor c(o).
-5*(o - 1)*(11*o + 3)
Let k(g) be the first derivative of -g**3/12 + 5*g**2/4 - 9*g/4 + 973. What is m in k(m) = 0?
1, 9
Let m be (48/18)/(1072/534 + -2). Let j = m - 352. Suppose -4/5*o**j + 0*o + 0 + 4/5*o**3 + 0*o**2 = 0. Calculate o.
0, 1
Let x(d) be the first derivative of d**5/50 - 31*d**3/30 + 3*d**2/2 + 13110. Find y such that x(y) = 0.
-6, 0, 1, 5
Let t be 6 + (-4 - (-2380)/190). Let h = -3246/247 + t. Factor -20/13 + h*o**2 + 86/13*o.
2*(o + 5)*(9*o - 2)/13
Let u = -10692/409 + 1837613/22904. Let v = 435/8 - u. Find f, given that -v*f + 3/7 - 1/7*f**2 = 0.
-3, 1
Find f, given that -15*f - 93*f - 16*f**2 + 28*f**3 - f**5 - f + 112 + 13*f - f**4 - 2*f**4 = 0.
-7, -2, 2
Factor 35/2*d - 1/2*d**2 + 37.
-(d - 37)*(d + 2)/2
Let p(z) be the third derivative of -5*z**3 - 3*z**2 + 1/24*z**5 + 0 + 7*z + 5/48*z**4. Find i, given that p(i) = 0.
-4, 3
Let s = -32 - -36. Suppose 2*l = l + s, 5*x - 9 = 4*l. Suppose 8*u**5 - 42*u**4 - 4 + 30*u - 30*u**2 + x*u**3 + 31*u**2 - 75*u**2 + 77*u**3 = 0. What is u?
1/4, 1, 2
Let d = -1394 + 1398. Let f(y) be the third derivative of y**2 - 1/4*y**3 + 1/32*y**5 + 0*y**d + 0*y**6 + 0 + 0*y - 1/560*y**7. Suppose f(b) = 0. Calculate b.
-2, -1, 1, 2
Let v(x) be the second derivative of -x**7/14 + 3*x**6/10 + 9*x**5/20 - 11*x**4/4 + 3*x**3 - 7*x - 2. What is f in v(f) = 0?
-2, 0, 1, 3
Let c(s) be the third derivative of s**5/390 - 2*s**4/39 - 20*s**3/39 - 1127*s**2. Suppose c(w) = 0. Calculate w.
-2, 10
Suppose 0 = -7*g + 3*g + 8. Suppose g*j = -0*j + 194. Factor t - 4*t - 100 + j + 3*t**3 + 3*t**2.
3*(t - 1)*(t + 1)**2
Let s = 497/13 + -256910/6721. Let g = s - -4097/6721. Factor -2/13 + 8/13*q**3 - g*q + 2/13*q**2.
2*(q - 1)*(q + 1)*(4*q + 1)/13
Let q(g) = 25*g**4 + 17*g**2 - 30*g + 12. Let i(c) = -2*c**4 - c**3 + 2*c**2 - c - 1. Let a(x) = 60*i(x) + 5*q(x). Find r, given that a(r) = 0.
0, 2, 3, 7
Let g(b) be the second derivative of -31*b + 0*b**2 + 1/30*b**5 - 1/2*b**4 - 10/9*b**3 + 0. Suppose g(m) = 0. What is m?
-1, 0, 10
Let l = -267/2 - -4007/30. Let s(j) be the third derivative of 0 + l*j**5 - 2/3*j**4 - 8/3*j**3 + 1/30*j**6 + 0*j + 8*j**2. Factor s(f).
4*(f - 2)*(f + 1)*(f + 2)
Determine b, given that 14016*b + 13824 - 40894/3*b**2 - 2/3*b**5 - 42046/3*b**3 - 578/3*b**4 = 0.
-144, -1, 1
Let r be (-12)/(-14) + (-768)/7168. Factor -9/2*l**3 - r*l**4 - 39/4*l**2 - 9*l - 3.
-3*(l + 1)**2*(l + 2)**2/4
Let l(i) be the third derivative of 3*i**2 + 0*i**3 - 8 + 0*i**4 + 0*i - 1/15*i**5 + 2/15*i**6. Let l(s) = 0. What is s?
0, 1/4
Let u(p) be the second derivative of p**6/90 + 27*p**5/20 - 83*p**4/18 + 378*p. Let u(q) = 0. Calculate q.
-83, 0, 2
Let c(i) be the third derivative of -i**7/735 + i**6/105 + 7*i**5/30 + 26*i**4/21 + 20*i**3/7 - 1632*i**2. Find d, given that c(d) = 0.
-3, -2, -1, 10
Suppose -41*j + 26*j + 45 = 0. Let g(f) be the second derivative of 3*f - j*f**2 + 1/36*f**4 - 1/12*f**5 + 7/6*f**3 + 0 + 1/90*f**6. Factor g(c).
(c - 3)**2*(c - 1)*(c + 2)/3
Let m(x) = 6*x**2 - 7*x + 12. Let o be m(4). Let v be (o/15)/(26/15). Factor -46/13*k**2 - 12/13*k**3 + 8/13 - v*k.
-2*(k + 2)**2*(6*k - 1)/13
Let n be ((-56)/16 - -3)/(1/(-2))*0. Let q(a) be the second derivative of 1/28*a**4 + 0 - 2*a - 3/140*a**5 + n*a**3 + 0*a**2. Find h such that q(h) = 0.
0, 1
Let o(h) = -101*h**2 + 124*h + 121. Let m(b) = 26*b**2 - b - 1. Let w(v) = 4*m(v) + o(v). Let w(s) = 0. Calculate s.
-39, -1
Let l(m) be the third derivative of -17/120*m**4 + 87*m**2 + 1/300*m**5 + 0*m**3 + 0*m + 0. Factor l(v).
v*(v - 17)/5
Let i(r) = -10*r + 18*r - 13*r + r**2 - 2*r**2 + 52. Let f be i(-10). Let -f*l**2 + 9*l**3 + 8*l**3 - 2*l**2 - 13*l**3 = 0. Calculate l.
0, 1
Let s(x) = -11*x**2 - 625*x + 118. Let b be s(-57). Let y(p) 