77
Factor 726 + 2/3*s**2 - 44*s.
2*(s - 33)**2/3
Let t be (-7)/(-1) + -1 + 0 + -4. Let d(y) be the first derivative of -1/2*y**t + 0*y + 1/10*y**5 - 1/2*y**3 + 7 + 0*y**4. Let d(v) = 0. Calculate v.
-1, 0, 2
Suppose 4*r + 2*t - 40 - 38 = 0, r + 4*t - 2 = 0. Let f = -10 + r. Let -f*p**2 + 6*p**3 + 3*p + 17*p**4 - 18*p**4 + 5*p = 0. Calculate p.
0, 2
Let x be -7 + 2 + 3/(189/333). Solve 32/7 + x*h**2 - 16/7*h = 0 for h.
4
Let d be (-16814)/(-35) - 8/20. Let r be 6/(d/56)*12/14. What is j in 4/5 + 1/5*j**4 - r*j**2 + 2/5*j**3 - 4/5*j = 0?
-2, 1
Let f(b) = 2*b - 7. Let x be f(10). Solve -7*a**3 + 3*a**3 - x*a - 23*a - 24*a**2 + 3 - 19 = 0.
-4, -1
Determine b so that -44 + 12863*b + 2*b**2 - 12858*b + 3*b**2 - 56 + 0 = 0.
-5, 4
Let r(a) be the first derivative of 2/7*a**2 + 9/14*a**4 + 2/3*a**3 + 2/7*a**5 + 15 + 0*a + 1/21*a**6. Factor r(v).
2*v*(v + 1)**3*(v + 2)/7
Suppose -a - 3*n = 12, -7*n - 12 = -4*n. Let r(c) be the third derivative of 1/72*c**4 + a*c + 0*c**3 + 0 + 5*c**2 + 1/360*c**5. Factor r(g).
g*(g + 2)/6
Let m(w) = 7*w**4 + 26*w**3 + 65*w**2 + 58*w + 22. Let d(t) = -8*t**4 - 24*t**3 - 65*t**2 - 57*t - 23. Let g(q) = -2*d(q) - 3*m(q). Factor g(b).
-5*(b + 1)**2*(b + 2)**2
Let a(d) be the third derivative of 9*d**2 + 0*d**4 - 1/2*d**3 + 0*d + 0 + 1/20*d**5. Factor a(z).
3*(z - 1)*(z + 1)
Let s(d) be the second derivative of d**4/24 - 19*d**3/4 + 14*d**2 - 3*d - 4. Factor s(a).
(a - 56)*(a - 1)/2
Factor -2*i + 2 + 7*i**4 - 2*i**5 - 4*i**2 + 7*i**3 - 3*i**3 - 5*i**4.
-2*(i - 1)**3*(i + 1)**2
Let s be -35*(-11)/(154/12). Let l be (-8)/(-5) + 12/s. Suppose -8*n - 7*n**2 - 9*n**2 + 12*n**l = 0. Calculate n.
-2, 0
Determine b so that 98/13*b**2 + 72/13 + 168/13*b = 0.
-6/7
Let o be (-69)/(-15) + (-10)/(-25). Suppose w - o*w + 8 = 0. Determine v, given that 2*v + 19*v**w + 2 - v**3 - 20*v**2 - 2 = 0.
-2, 0, 1
Let r(q) = q**2 + 5*q + 6. Let p be r(-5). Let z = 0 + p. Factor -4*h**4 + z*h**2 - 4 + 0*h**3 + 2*h**2 + 0*h**3.
-4*(h - 1)**2*(h + 1)**2
Let p(x) be the first derivative of 19773*x**4 + 20280*x**3 + 7800*x**2 + 4000*x/3 - 425. Factor p(u).
4*(39*u + 10)**3/3
Let 2*u**2 + 68*u - 12*u**2 - 43*u + 9*u**2 + 52*u = 0. What is u?
0, 77
Let s(i) be the first derivative of -i**5 + 20*i**4 - 75*i**3 - 405*i**2 - 443. Determine v, given that s(v) = 0.
-2, 0, 9
Let d be (-342)/(-304)*(-2)/(-3). Let g(t) be the first derivative of -6 + t + 1/6*t**3 + d*t**2. Factor g(m).
(m + 1)*(m + 2)/2
Let b(k) = 5*k**5 - k**4 - 14*k**3 + 10*k**2 - 6. Let n(j) = 4*j**5 - 13*j**3 + 9*j**2 - 5. Let h(x) = -5*b(x) + 6*n(x). What is m in h(m) = 0?
0, 1, 2
Suppose -g = 2*g - 9. Suppose -2*x**3 + x**2 + x**4 - 4*x**g + 4*x**3 = 0. Calculate x.
0, 1
Let p(z) be the second derivative of z**7/21 - 19*z**6/15 + 123*z**5/10 - 337*z**4/6 + 376*z**3/3 - 144*z**2 + 42*z - 2. Solve p(d) = 0.
1, 4, 9
Let u(c) be the first derivative of 5*c**3/3 + 20*c**2 - 45*c + 130. Factor u(m).
5*(m - 1)*(m + 9)
Solve 363 + 7*k**4 - 255*k**3 + 2948*k - 1251*k**2 - 1793*k - 19*k**4 = 0 for k.
-11, -1/4, 1
Let m(j) be the second derivative of 0 - 2/7*j**3 + 8/7*j**2 - 1/21*j**4 - 18*j. Solve m(f) = 0 for f.
-4, 1
Let m(b) be the first derivative of 28 + 0*b - 3/4*b**4 + 0*b**3 - 1/10*b**5 + 1/12*b**6 + 0*b**2. Determine r so that m(r) = 0.
-2, 0, 3
Factor 0 - 28/13*n**2 + 2/13*n**3 + 48/13*n.
2*n*(n - 12)*(n - 2)/13
Let k be ((-27)/(-7) - 5)*-7. Suppose -24 = -k*c - 0. Factor 0 + 4/3*p**2 - 2/3*p**c - 2/3*p.
-2*p*(p - 1)**2/3
Let f be 145/(-29) + (-348)/2. Let b = f + 179. Let 0*h**3 + b*h**2 + 0 + 0*h - 1/3*h**4 + 1/3*h**5 = 0. Calculate h.
0, 1
Factor 10*r**2 + 2 + 29/3*r + 7/3*r**3.
(r + 1)*(r + 3)*(7*r + 2)/3
Let t(w) be the third derivative of 0 + 1/270*w**6 + 0*w + 0*w**3 + 1/945*w**7 + 0*w**4 + 1/270*w**5 - 11*w**2. Let t(k) = 0. What is k?
-1, 0
Let m(u) be the second derivative of u**6/225 - u**4/5 + 27*u**2/5 - 82*u. Factor m(f).
2*(f - 3)**2*(f + 3)**2/15
What is l in -23*l + 7*l + 33 + 97 + 180*l + 14 - 20*l**2 = 0?
-4/5, 9
Let c(n) = 9*n**2 + 3*n + 2. Let g(b) = -45*b**2 - 15*b - 9. Let w(o) = -21*c(o) - 4*g(o). Let k(f) = -f**2 - f - 1. Let l(d) = -6*k(d) + w(d). Factor l(q).
-3*q*(q - 1)
Let p(y) = -5*y**2 - 40*y - 58. Let s be p(-6). Factor 1/4*x**4 + 5/4*x**3 - 1/4*x**s + 0 - 5/4*x.
x*(x - 1)*(x + 1)*(x + 5)/4
Let i(r) be the first derivative of 7 - 1/420*r**5 - 7/2*r**2 + 1/56*r**4 - 1/21*r**3 + 0*r. Let m(f) be the second derivative of i(f). Factor m(j).
-(j - 2)*(j - 1)/7
Let c(j) be the first derivative of -4/3*j**4 - 4/9*j**3 + 0*j - 4 + 0*j**2 - 7/15*j**5. Determine i so that c(i) = 0.
-2, -2/7, 0
Find r, given that -12/7*r - 38/7*r**2 + 0 - 2*r**5 + 26/7*r**3 + 38/7*r**4 = 0.
-1, -2/7, 0, 1, 3
Let u(g) = 23*g + 9 - 13*g - 9*g. Let d be u(-7). Factor -m**3 - 4*m**4 - m**3 + 0*m**4 - d*m**5.
-2*m**3*(m + 1)**2
Let i be 14/((-56)/(-12)) - (62/22 + 0). Solve -4/11*j**2 + 0 - 2/11*j + i*j**5 + 0*j**3 + 4/11*j**4 = 0.
-1, 0, 1
Let p(g) be the third derivative of -13*g**2 + 0*g + 0 + 1/180*g**6 + 1/18*g**3 - 1/36*g**4 - 1/180*g**5. Factor p(u).
(u - 1)*(u + 1)*(2*u - 1)/3
Let t be 3/1*50/(15/3). Let y be (5/((-175)/t))/(4/(-6)). Find q such that -y*q**2 - 3/7*q**4 - 3/7*q - 9/7*q**3 + 0 = 0.
-1, 0
Let z be (4 - (-15)/(-13)) + 16/104. Let c(b) be the first derivative of -1/2*b**4 + 4/3*b**z - b**2 - 5 + 0*b. Suppose c(o) = 0. Calculate o.
0, 1
Let -432*v**2 - 1/2*v**5 - 12*v**4 - 648*v + 0 - 108*v**3 = 0. Calculate v.
-6, 0
Let -180*s - 182*s + 54*s - 6*s**3 - s**3 + 200 + 112*s**2 + 3*s**3 = 0. What is s?
1, 2, 25
Suppose -72*x = -70*x - 36. What is u in -1 + x - 11 - u**2 - 5*u = 0?
-6, 1
Let h(p) = 45*p**4 - 374*p**3 + 391*p**2 - 70*p. Let d(a) = -45*a**4 + 373*a**3 - 392*a**2 + 70*a. Let l(x) = -4*d(x) - 3*h(x). Factor l(t).
5*t*(t - 7)*(t - 1)*(9*t - 2)
Let k(a) be the first derivative of -2*a**6/3 - 12*a**5/5 + a**4 + 44*a**3/3 + 24*a**2 + 16*a - 98. Factor k(p).
-4*(p - 2)*(p + 1)**3*(p + 2)
Let i be (8*1*-4)/(-2). Let c = i + -11. Let 163*t**3 - 12 - 97*t**c - 291*t**2 + 108*t - 155*t**5 - 34*t**3 + 303*t**4 + 15*t**3 = 0. Calculate t.
-1, 1/4, 2/7, 2/3, 1
Suppose 14*u = 5*u + 27. Factor -10/3*k**2 + 0 - 2/3*k - 8/3*k**u.
-2*k*(k + 1)*(4*k + 1)/3
Let l be 2*4/(-21)*(-52)/520. Let c(g) be the second derivative of -1/7*g**2 + 5/42*g**4 + 1/7*g**3 - l*g**6 - 3/70*g**5 + 0 + 11*g. Find m such that c(m) = 0.
-1, 1/4, 1
Let b be (60/(-35))/(-1) + 6/21. Factor 4/3*j + 1 - 1/3*j**4 - 4/3*j**3 - 2/3*j**b.
-(j - 1)*(j + 1)**2*(j + 3)/3
Factor m**2 - 2/3 + 1/3*m - 1/3*m**3 - 1/3*m**4.
-(m - 1)**2*(m + 1)*(m + 2)/3
Let q(b) be the first derivative of 2*b**3/39 + 58*b**2/13 + 1682*b/13 - 55. Factor q(c).
2*(c + 29)**2/13
Let l = -1701 + 6807/4. Solve 0 + 1/2*t**3 + 0*t - 5/4*t**5 + l*t**4 + 0*t**2 = 0 for t.
-2/5, 0, 1
Find h, given that -164/7*h + 64/7 + 10/7*h**2 = 0.
2/5, 16
Suppose -20*y - 12*y + 160 = 0. Let v(n) be the first derivative of 0*n**2 + 2/5*n**y - 1/2*n**4 - 3 + 0*n + 1/3*n**6 - 2/3*n**3. Find f such that v(f) = 0.
-1, 0, 1
Let t(j) = -8*j**2 - 34*j - 8. Let y be t(-4). Let o be (2 - 15/10)*y. Find i, given that 0*i + 0*i**3 + o - 1/5*i**5 - 1/5*i**4 + 0*i**2 = 0.
-1, 0
Let q(d) be the first derivative of 0*d - 1/2*d**6 - 3*d**4 - 2*d**3 - 1/2*d**2 + 9 - 2*d**5. Solve q(b) = 0.
-1, -1/3, 0
Let p be (-10)/(-3 + 92/12). Let v = 127/56 + p. Determine t so that 1/8*t**3 - v*t + 0 - 1/8*t**2 + 1/8*t**4 = 0.
-1, 0, 1
Let k be 6/(-9) - (-64)/24. Suppose p = -c + 6, -k*c + 2*p + 2*p - 6 = 0. Let -174/5*h**c + 14/5*h + 4/5 - 126/5*h**4 - 38/5*h**2 = 0. What is h?
-1, -1/3, 2/7
Let h(l) be the first derivative of l**3/3 - 5*l**2 - 11*l - 839. Solve h(y) = 0.
-1, 11
Let h be (0 + 0)/(2*2/(-2)). Let n(w) = w**3 + 2. Let p be n(h). Solve -6/7*i**p - 8/7 - 12/7*i - 1/7*i**3 = 0.
-2
Factor -6/7*l**4 + 0*l**2 + 0 - 2/7*l**5 + 0*l - 4/7*l**3.
-2*l**3*(l + 1)*(l + 2)/7
Suppose 11*m = 6*m + 10. Let r(g) = 2*g**2 - 2*g - 2. Let f(d) = -4*d**2 + 4*d + 5. Let p(u) = m*f(u) + 5*r(u). Let p(b) = 0. What is b?
0, 1
Suppose -27 = 83*k - 92*k. Solve -4/19*h**4 + 0*h + 0*h**2 + 0 + 2/19*h**5 + 2/19*h**k = 0 for h.
0, 1
Suppose 71*z = 72*z - 5. Suppose -z*l = 10, -4*t - 10*l = -11*l - 14. Let -1 + 7/2*a**t + a**2 - 7/2*a = 0. Calculate a.
-1, -2/7, 1
Let n(c) be the second derivative of 0 -