50. Let y(p) = 3*p + 65. Let b be y(-20). Let f(u) = b*s(u) - 9*m(u). Factor f(q).
-3*(q + 5)**2
Let l(t) be the first derivative of 1/15*t**2 + 41 + 4/45*t**3 - 2/5*t. Factor l(a).
2*(a - 1)*(2*a + 3)/15
Let b be 18/(-72) - 39/(-108) - 68/(-36). Find p, given that 1/8*p**4 + 1/4*p**3 + 0 - 1/4*p - 1/8*p**b = 0.
-2, -1, 0, 1
Let o(u) be the third derivative of -10/3*u**3 + 0*u + 2/21*u**7 - 5/3*u**4 - 3*u**2 + 9/4*u**5 - 19/24*u**6 + 0. What is w in o(w) = 0?
-1/4, 1, 2
Find b, given that 2/5*b**3 + 0 + 28/5*b + 18/5*b**2 = 0.
-7, -2, 0
Let b(n) be the first derivative of -n**3/18 - 2*n**2/3 - 5*n/2 - 115. Suppose b(s) = 0. What is s?
-5, -3
Let i(r) = 4*r**3 - 9*r**2 - 91*r + 7. Let v(j) = -2*j**3 + 5*j**2 + 45*j - 3. Let k(b) = -6*i(b) - 14*v(b). Find w, given that k(w) = 0.
-3, 0, 7
Let b(n) be the first derivative of n**6/72 - 5*n**4/24 + 5*n**3/9 - 5*n**2/8 + n/3 - 341. Find g, given that b(g) = 0.
-4, 1
Let b(r) be the second derivative of -r**7/1260 + r**6/180 + 35*r**2/2 - 34*r. Let c(i) be the first derivative of b(i). What is n in c(n) = 0?
0, 4
Suppose 0 = -14*m - 100 + 100. Let k(v) be the third derivative of -4*v**2 - 1/150*v**5 + m*v + 0 + 0*v**3 - 1/60*v**4. Determine b, given that k(b) = 0.
-1, 0
Let j(k) be the first derivative of 0*k - k**5 + 5/3*k**3 + 0*k**2 + 40 - 5/6*k**6 + 5/4*k**4. Suppose j(d) = 0. What is d?
-1, 0, 1
Let l = -70/11 + 361/55. Let l*n**2 + 0*n + 0 = 0. What is n?
0
Let y(g) = g**3 + 7*g**2 - g + 2. Let h be y(-7). Let x = -9 + h. What is j in -2*j**4 + x*j + 3*j**3 + 0*j + 0*j**3 - j**2 = 0?
0, 1/2, 1
Factor -2/7*x**3 - 22/7 - 18/7*x**2 + 6*x.
-2*(x - 1)**2*(x + 11)/7
Suppose -59*g + 94 = -12*g. Let r(j) be the first derivative of -3*j**4 + 2/5*j**5 + 8*j**3 - 10*j**g + 6*j - 6. Suppose r(d) = 0. What is d?
1, 3
Let l be ((-15)/8)/((-231)/490). Let t = -30/11 + l. Suppose 0*k - 3/4*k**4 - t*k**5 + 1/2*k**3 + 0*k**2 + 0 = 0. Calculate k.
-1, 0, 2/5
Let k(u) = u**3 + 16*u**2 - 15*u + 31. Let x be k(-17). Let h be 3/x*((-68)/(-20) + -4). Determine f so that -2/5*f + 1/5 - h*f**2 = 0.
-1, 1/3
Solve -8/3*n**2 - 2/3*n**3 + 0 + 8*n = 0 for n.
-6, 0, 2
Suppose 5*x = -0*p + 2*p + 27, 5*p + 5 = 0. Suppose -4*h = -2*k + 4, -x*k - 3*h = -0*k - 23. Factor -4*m**2 + 3*m**k - 12*m**2 + 12*m**2 + m**4.
4*m**2*(m - 1)*(m + 1)
Let r(i) be the second derivative of -3*i**5/20 + 63*i**4/2 - 3969*i**3/2 - 370*i. Factor r(a).
-3*a*(a - 63)**2
Let a(x) be the first derivative of -x**2 + 0*x - 1/4*x**4 - 12 + x**3. Suppose a(d) = 0. What is d?
0, 1, 2
Factor -270*u - 2*u**4 + 80*u**2 + 4*u**4 - 26*u**3 + 216 + 87*u**2 - 41*u**2.
2*(u - 4)*(u - 3)**3
Let b(u) be the third derivative of -u**5/36 + 19*u**4/72 - 7*u**3/9 + u**2 - 7. Find c such that b(c) = 0.
1, 14/5
Factor -51*k + 30*k**2 - 95*k**2 + 59*k**2 - 28 - 35*k.
-2*(k + 14)*(3*k + 1)
Suppose 0 = 50*d - 92 - 8. Find x, given that -11/3*x - 56/3*x**4 - 16/3*x**5 - 1/3 - 43/3*x**d - 73/3*x**3 = 0.
-1, -1/4
Let y(g) = -26*g**2 + 132*g - 826. Let m(a) = -5*a**2 + 27*a - 165. Let r(i) = -16*m(i) + 3*y(i). Solve r(d) = 0 for d.
9
Let o = -84107/6 - -14018. Find x such that -1/2*x**2 - 1/2*x**3 + 7/6*x + o*x**4 + 1 = 0.
-1, 2, 3
Let r(l) be the first derivative of -l**6/30 + l**5/15 + l**4/3 - 2*l**2 + 18. Let j(w) be the second derivative of r(w). Determine i so that j(i) = 0.
-1, 0, 2
Let m(a) be the first derivative of -3*a**6/4 + 21*a**5/10 - 9*a**4/8 - 3*a**3/2 + 3*a**2/2 + 154. Solve m(q) = 0 for q.
-2/3, 0, 1
Determine p, given that 53*p**3 + 43*p**2 - 27*p**2 + 20*p**4 - 21*p**3 + 4*p**5 = 0.
-2, -1, 0
Suppose 0 = 634*x - 643*x + 36. Let 4/7*w**3 + 4/7*w**2 + 0 + 1/7*w**x + 0*w = 0. Calculate w.
-2, 0
Let v be 2/((12/100)/((-3)/(-2))). Let y(t) = 20*t**4 + 35*t**2 - 50*t - 30. Let c(o) = o**4 - o**3 - o. Let q(k) = v*c(k) - y(k). Let q(p) = 0. Calculate p.
-1, 1, 6
Factor 45382*p**3 - 45384*p**3 - 1121812 + 58930 - 486*p**2 - 39366*p.
-2*(p + 81)**3
Let x = 14 - 8. Let -5*w**2 + x*w**3 - 4*w**3 + 8*w**3 + 5*w**3 = 0. What is w?
0, 1/3
Suppose 0 = 594*q - 597*q. Let r(b) be the second derivative of -1/42*b**7 + 0 + 0*b**2 + b + 0*b**6 + q*b**5 + 0*b**4 + 0*b**3. Factor r(s).
-s**5
Determine o so that 11*o + 3*o**2 - o**2 + 25 - 3*o**2 - 31*o - 4*o**2 = 0.
-5, 1
Let p be -2 + (4 - 7) + 8. Let c(n) = -n**3 + 4*n**2 - 2*n + 1. Let a be c(p). Solve -5*h - h**5 + 10*h**2 + 0*h**3 + 5*h**a - 8*h**3 + 1 - 5*h**3 + 3*h**3 = 0.
1
Let f(r) = -4*r - 373. Let s be f(-94). Let 2/5*h**4 + 0*h**s - 12/5*h**2 + 16/5*h - 6/5 = 0. What is h?
-3, 1
Suppose 4*r - 8 = 2*r. Determine n so that 10*n**3 + 5 + 5*n**5 + 15*n**r - 5 = 0.
-2, -1, 0
Let l(b) = -5*b**2 + 336*b - 5448. Let w(r) = -35*r**2 + 2350*r - 38135. Let n(c) = -20*l(c) + 3*w(c). Let n(d) = 0. Calculate d.
33
Factor -4/5*j**2 - 16/5*j + 4.
-4*(j - 1)*(j + 5)/5
Let u(p) be the second derivative of -p**6/20 - 39*p**5/40 - 7*p**4/8 + 57*p**3/4 - 27*p**2 - 2*p + 40. Solve u(v) = 0.
-12, -3, 1
Let b be (-7)/(-2) + (-1)/2. Suppose -4*y + 27 = -o, -y + 50 = 4*y + 2*o. Factor -6 + 3*t - y*t + 2*t + b*t**2.
3*(t - 2)*(t + 1)
Let p(v) = v**3 - 5*v + 4. Let s be p(3). Find j, given that 0 - 2 - j**2 - s*j + 20*j - j**2 = 0.
1
Suppose -6*x = 7 - 31. Factor -k**2 + x*k + 13*k - 15*k.
-k*(k - 2)
Let n be (-4 + 4 - -5)*(2 - 1). Let p be ((-1)/5)/((-284)/(-60) - n). Determine m, given that -3/4 + 3/4*m**2 - 3/4*m + p*m**3 = 0.
-1, 1
Let k(m) be the first derivative of -6/5*m**5 - 11/4*m**4 + 6*m**2 + 8*m - 1/6*m**6 - 2/3*m**3 + 9. What is z in k(z) = 0?
-2, -1, 1
Let r = 9/136 + -877/14280. Let x(u) be the third derivative of 0 + 0*u**4 + r*u**5 - 1/21*u**3 - 2*u**2 + 0*u. Suppose x(c) = 0. What is c?
-1, 1
Let j(k) be the second derivative of k**4/60 - 2*k**3/5 - 13*k**2/10 - 77*k. Solve j(z) = 0 for z.
-1, 13
Let x be 46/144 - (3 - 110/40). Let q(w) be the third derivative of 0*w - x*w**4 - 5*w**2 - 1/9*w**3 - 1/45*w**5 + 0 - 1/360*w**6. Factor q(k).
-(k + 1)**2*(k + 2)/3
Let x(r) = r**2 - r + 1. Suppose -3*b = b + 20, -21 = y + 4*b. Let p(d) = 3*d**3 + 8*d**2 - 5*d - 4. Let j(v) = y*p(v) + 2*x(v). Let j(o) = 0. What is o?
-2, -1, 1
Let o(w) be the second derivative of w**8/720 + 47*w**7/1890 - 7*w**6/270 - 3*w**4/4 - 21*w. Let d(s) be the third derivative of o(s). Factor d(i).
4*i*(i + 7)*(7*i - 2)/3
Let m = -4 + -2. Let r(a) = a + 8. Let n be r(m). Let d**2 + 3 + 3*d**3 - 4 - n*d**3 - d + 0 = 0. Calculate d.
-1, 1
Let x be -4 + 11 + (-21)/3*1. Factor 2/3*z + x + 2/3*z**2.
2*z*(z + 1)/3
Suppose 0 = 8*z - 7*z - 2. Factor 8*v**4 - v**z + 8*v**4 - 15*v**4.
v**2*(v - 1)*(v + 1)
Let l(o) be the first derivative of 3*o**4/4 - 5*o**3 - 21*o**2 + 24. Solve l(j) = 0 for j.
-2, 0, 7
Solve 3*k**3 + 8*k**2 + 1/3*k**4 + 16/3*k + 0 = 0 for k.
-4, -1, 0
Let u(n) be the third derivative of -n**7/735 - n**6/420 + n**5/210 + n**4/84 + 3*n**2 + 11*n. Factor u(q).
-2*q*(q - 1)*(q + 1)**2/7
Let m = 36 + 162. Let k be (m/30 - 7)/((-1)/4). What is g in 54/5*g**2 + 48/5*g + k = 0?
-2/3, -2/9
Factor 3/5*y**2 + 0 - 3/5*y**5 + 0*y - 3/5*y**4 + 3/5*y**3.
-3*y**2*(y - 1)*(y + 1)**2/5
Let u = -3/2632 - -83/658. Factor -1/4*k**2 + 0 - 3/8*k + u*k**3.
k*(k - 3)*(k + 1)/8
Let p be (-56 - -46) + ((-12)/(-4) - 0) - -9. Suppose -8/11 + 276/11*z - 3174/11*z**p + 12167/11*z**3 = 0. Calculate z.
2/23
Let a(c) be the first derivative of 0*c + 1/40*c**5 + 0*c**4 - 1/8*c**2 + 2 - 1/8*c**3. Find j, given that a(j) = 0.
-1, 0, 2
Let b(z) be the third derivative of z**7/105 + z**6/30 - z**5/30 - z**4/6 - 69*z**2 + 6. What is n in b(n) = 0?
-2, -1, 0, 1
Let y(a) be the second derivative of -2*a**4/21 + 73*a**3/21 - 18*a**2/7 - 3*a - 10. Factor y(l).
-2*(l - 18)*(4*l - 1)/7
Suppose 9*i + 2903 = 275. Let a = 295 + i. Determine t so that -2/7*t + 4/7*t**a + 0 + 2/7*t**2 = 0.
-1, 0, 1/2
Let b be (-2528)/(-40) + (-1)/5. Let t = 63 - b. Suppose -2/11*u**4 + 2/11*u**2 - 2/11*u + 2/11*u**3 + t = 0. Calculate u.
-1, 0, 1
Let p be -3 - (782/161 - 9). Factor 0*k**2 + 4/7*k**5 - p*k**3 + 4/7*k + 0*k**4 + 0.
4*k*(k - 1)**2*(k + 1)**2/7
Let t(q) = -q**3 - 4*q**2 + 3*q - 6. Let m be t(-5). Solve -13*u**4 - 9*u**3 + 9*u**5 + 2*u**4 - 12 + 33*u**2 - 10*u**m = 0 for u.
-1, -2/3, 1, 2
Solve 0 - 10/3*v**3 - 1/3*v**4 + 196/3*v + 7/3*v**2 = 0 for v.
-7, 0, 4
Suppose 6 + 18 = 3*v. Find l, given that -12*l*