*l**2 + 0*l**3 + 0*l + 1/4*l**4. Find c, given that s(c) = 0.
0, 2
Let h(y) = -10*y**3 + 43*y**2 - 135*y + 141. Let x(l) = 22*l**3 - 87*l**2 + 271*l - 281. Let q(t) = 7*h(t) + 3*x(t). Let q(p) = 0. Calculate p.
3, 4
Let f(k) be the first derivative of -361*k**3/24 - 19*k**2/4 - k/2 - 77. Determine b, given that f(b) = 0.
-2/19
Let f(j) = -j**4 + j**3 - j**2 + j - 1. Let p(l) = -117*l + 7*l**4 - 132 + 17*l - 248 + 76*l**2 + 26*l**3. Let m(w) = -4*f(w) - p(w). Find c such that m(c) = 0.
-4, 2
Let b(s) be the first derivative of 37 - 4*s**5 + 0*s - 20/3*s**3 - 5/2*s**2 - 5/6*s**6 - 15/2*s**4. Let b(g) = 0. Calculate g.
-1, 0
Let c(w) = -47*w - 52*w + 42 + w**3 + 136*w - 6*w**2 - 44*w. Let l be c(6). What is q in -2/9*q**3 + 4/9*q**2 + l*q + 0 = 0?
0, 2
Find n such that 92/7*n + 88/7 + 4/7*n**2 = 0.
-22, -1
Let a(b) be the third derivative of -661/320*b**6 + 251/560*b**7 - 2*b**3 + b**4 - 1/32*b**8 + 203/80*b**5 - 28*b**2 + 0 + b. Let a(o) = 0. Calculate o.
-2/7, 1/4, 1, 4
Suppose 3*t - 43 = -10. Factor 33*k**2 + 1 - 34*k**2 - t*k + 11*k.
-(k - 1)*(k + 1)
Let f(s) be the second derivative of 0 - 6*s - 1/90*s**5 - 1/27*s**3 - 1/27*s**4 + 0*s**2. Solve f(i) = 0.
-1, 0
Let y = 20886 + -20886. Factor 0*q**2 + y + 2*q - 1/2*q**3.
-q*(q - 2)*(q + 2)/2
Let -18/7 + 13/7*z**2 - 3/7*z + z**3 + 1/7*z**4 = 0. Calculate z.
-3, -2, 1
Let q(y) be the third derivative of -y**6/80 + 3*y**5/20 + y**4/16 - 3*y**3/2 + y**2 - 100. Factor q(s).
-3*(s - 6)*(s - 1)*(s + 1)/2
Let r = 1664 - 1658. Let h(c) be the third derivative of 7/720*c**6 + 0 - 1/18*c**3 + r*c**2 - 2/45*c**5 + 0*c + 11/144*c**4. Let h(z) = 0. Calculate z.
2/7, 1
Factor -2*z + 4 + 26*z**2 - 48*z**2 + 20*z**2.
-2*(z - 1)*(z + 2)
Solve -24*x**2 - 28*x - 8 + 12*x**3 + 91*x**4 - 83*x**4 - 8*x**3 = 0.
-1, -1/2, 2
Let u be (12/110)/((-117)/(-858)). Solve -4/5*t**3 + 3/5*t**2 + 1/5*t**4 - u + 4/5*t = 0.
-1, 1, 2
Determine u so that 4/7*u - 24/7 + 4*u**2 - 4/7*u**4 - 4/7*u**3 = 0.
-3, -1, 1, 2
Determine g so that 21*g**3 + 17*g + 19*g**2 + 9*g**4 + 36*g**5 - 11*g - 35*g**5 = 0.
-6, -1, 0
Let g(p) be the first derivative of 0*p - 4*p**3 - 1 - 12/5*p**5 - 1/2*p**6 - 9/2*p**4 - 3/2*p**2. Determine x, given that g(x) = 0.
-1, 0
Suppose 0 + 14/15*m**4 + 2/15*m**5 + 4/5*m**3 + 0*m**2 + 0*m = 0. Calculate m.
-6, -1, 0
Factor 65*u**2 + 144*u**4 + 40*u - 83*u**2 + 4 + 70*u**2 - 240*u**3.
4*(u - 1)**2*(6*u + 1)**2
Let v(p) = 2*p - 1. Let x be v(12). Let r = x + -21. Factor 9*t + 9*t + 100*t**2 - 100*t**3 - 16 - r*t.
-4*(t - 1)*(5*t - 2)*(5*t + 2)
Let g(z) be the third derivative of 2*z**7/35 - 57*z**6/40 + 57*z**5/10 - 73*z**4/8 + 6*z**3 + 87*z**2 - z. Let g(a) = 0. What is a?
1/4, 1, 12
Let j(m) be the first derivative of -m**4/10 + 28*m**3/15 - 7*m**2 + 44*m/5 + 10. Solve j(t) = 0.
1, 2, 11
Let g(h) = -17*h + 189. Let t be g(11). Let y(l) be the second derivative of 1/5*l**5 + 0*l**t - l**4 - 3*l + 0 + 0*l**3. Determine q so that y(q) = 0.
0, 3
Let a(t) be the second derivative of 3*t**5/20 - 6*t**4 + 96*t**3 - 768*t**2 + 210*t. Factor a(k).
3*(k - 8)**3
Let s = 402 + 388. Let o = s - 3926/5. What is q in 9/5*q**2 - o*q + 12/5 = 0?
2/3, 2
Let j be 114/(-3) + (3 - -1). Let h = j + 59. Let 20*g**5 - 22*g**3 + 35*g + 1 - 7 - 4 - 33*g**3 + 35*g**2 - h*g**4 = 0. What is g?
-1, 1/4, 1, 2
Let n(r) be the first derivative of -r**6/180 + r**5/120 + r**4/72 - r**3/36 + 8*r - 17. Let q(y) be the first derivative of n(y). Let q(b) = 0. Calculate b.
-1, 0, 1
Let w(z) be the second derivative of -z**7/28 - 6*z**6/5 + 21*z**5/10 + 37*z**4/4 - 27*z**3/4 - 75*z**2/2 - 279*z + 2. Determine y so that w(y) = 0.
-25, -1, 1, 2
Let v(q) = 3*q**2 - 27*q - 30. Let m(y) = -7*y + 3. Let g(b) = -4*b + 2. Let j(x) = -5*g(x) + 3*m(x). Let o(k) = 15*j(k) - v(k). Find w, given that o(w) = 0.
-1, 5
Suppose -4 + 52 = 12*m. Let b(i) be the third derivative of -5*i**2 - 1/30*i**5 + 0*i + 1/3*i**m + 0 - 4/3*i**3. Factor b(c).
-2*(c - 2)**2
Suppose -10/7*m - 2/7*m**2 + 2/7*m**3 - 6/7 = 0. What is m?
-1, 3
Factor 61*k + 20*k - 4*k**2 - 21*k + 304.
-4*(k - 19)*(k + 4)
Let n(a) = -2*a**2 + 5*a - 6. Let j(s) = -5*s**2 + 13*s - 18. Let h(w) = -3*j(w) + 8*n(w). Factor h(g).
-(g - 3)*(g + 2)
Let p(w) be the third derivative of 1/90*w**5 + 0 + 0*w**3 + 0*w + 2/45*w**6 - 1/18*w**4 + 1/63*w**7 + 27*w**2. Solve p(k) = 0 for k.
-1, 0, 2/5
Let g(r) be the third derivative of r**7/630 - r**6/120 + r**4/18 + r**2 + 2. Determine c so that g(c) = 0.
-1, 0, 2
Find j, given that 0*j - 15/2*j**2 + 0 - 15/2*j**4 + 5/4*j**5 + 55/4*j**3 = 0.
0, 1, 2, 3
Let n(o) = -5*o**3 + 23*o**2 + 39*o - 6. Let r(v) = 12*v**3 - 46*v**2 - 77*v + 14. Let g(c) = 7*n(c) + 3*r(c). Let g(b) = 0. Calculate b.
-21, -2, 0
Let a be (-6)/12*(0 - 2). Suppose -6 + a = -k. What is x in 0*x**2 - 5/2*x**5 + 0 + 0*x + k*x**4 - 5/2*x**3 = 0?
0, 1
Let t = -24543 - -24548. Factor 0*v**2 + 0 + 0*v + 28*v**t + 16/7*v**3 - 16*v**4.
4*v**3*(7*v - 2)**2/7
Let m(r) = -r**3 + 7*r**2 + r - 8. Let t be m(7). Let p be (-45)/75*(7 - 2)/t. Factor -2/11*a**2 - 2/11*a**p + 2/11*a + 2/11*a**4 + 0.
2*a*(a - 1)**2*(a + 1)/11
Let k(i) be the first derivative of -i**6/10 + 3*i**5/20 + i**4/4 - i**3/2 - 54*i + 48. Let l(u) be the first derivative of k(u). Find x such that l(x) = 0.
-1, 0, 1
Let k(z) be the first derivative of -5*z**4/12 + 20*z**3 - 360*z**2 - 41*z + 6. Let u(s) be the first derivative of k(s). Factor u(c).
-5*(c - 12)**2
Let q(h) be the third derivative of 0*h + 1/70*h**7 + 0*h**4 + 0 + 0*h**5 + 1/40*h**6 + 0*h**3 - 18*h**2. Solve q(o) = 0 for o.
-1, 0
Let g be (-171)/(-114)*(-12)/(-45). Factor 0 - 6/5*l**3 + 0*l - 2/5*l**5 - g*l**2 - 6/5*l**4.
-2*l**2*(l + 1)**3/5
Let b(y) be the second derivative of -y**4/102 + 40*y**3/51 - 39*y**2/17 + y + 76. Factor b(r).
-2*(r - 39)*(r - 1)/17
Let t = 16002 + -175980/11. Factor 2/11*d**4 + t*d**2 + 38/11*d + 12/11 + 18/11*d**3.
2*(d + 1)**3*(d + 6)/11
Suppose -q + 12 = s - 0*q, -2*s + 28 = -2*q. Solve -22*w**2 - 15 + 0*w - w + 25*w**2 + s*w = 0.
-5, 1
Let d(z) = -z**2 - 4*z - 4. Let m be d(-3). Let c = 6 + m. Solve -c*q - q + 7*q**2 - 3*q - 2 + 4 = 0.
2/7, 1
Let s(j) = j**3 + 7*j**2 + 2*j + 17. Let r be s(-7). Factor -3*t**2 + 8*t**r - 104*t - 4*t**5 + 3*t**2 + 100*t.
-4*t*(t - 1)**2*(t + 1)**2
Let s(r) be the second derivative of 0 - r**2 + 1/10*r**5 - 1/2*r**4 - 16*r + r**3. Factor s(z).
2*(z - 1)**3
Let r(n) be the third derivative of -n**8/1176 + 9*n**7/245 - 47*n**6/420 - 79*n**5/210 + 8*n**4/7 + 100*n**3/21 + 100*n**2. Suppose r(g) = 0. What is g?
-1, 2, 25
Suppose -2*j - a + 3 = -4, -4*j = a - 11. Suppose -2*g + 0*g - 3*z = -7, 5*g - 8 = j*z. Factor 1 + k**5 - k**2 - k**g + 11*k**3 - 12*k - 6*k**4 + 7.
(k - 2)**3*(k - 1)*(k + 1)
Let t(i) be the third derivative of -i**8/252 + 2*i**7/315 + i**6/90 - i**5/45 + 59*i**2. Factor t(c).
-4*c**2*(c - 1)**2*(c + 1)/3
Let j be -2 - (1 + 289/(-95)). Let k = 42/95 - j. Suppose 2/5*a**2 + k - 4/5*a = 0. What is a?
1
Suppose 72*m**3 - 3*m**5 + 7*m + 6*m + 29*m + 6*m - 18*m**5 - 192*m**2 + 48*m**4 = 0. Calculate m.
-2, 0, 2/7, 2
Let g(v) be the first derivative of -v**5/20 - v**4 - 8*v**3 - 7*v**2/2 - 12. Let n(t) be the second derivative of g(t). Solve n(l) = 0.
-4
Let y be (-3)/4 + (-38)/(-8). Let m be y/(-5)*(-25)/10. Factor -3*f**2 + 8 - 8*f + 0*f**m + 3*f**2 + 2*f**2.
2*(f - 2)**2
Determine i so that 25/6*i + 0 + 1/6*i**3 + 5/3*i**2 = 0.
-5, 0
Let i = 61346/1495 - 936/23. Let a(q) be the first derivative of 0*q**2 - 1/13*q**4 - 3 + 0*q - i*q**5 + 0*q**3 - 14/39*q**6. Factor a(t).
-2*t**3*(2*t + 1)*(7*t + 2)/13
Let m(k) = 51*k**4 - 138*k**3 + 291*k**2 + 141*k - 381. Let c(w) = 5*w**4 - 14*w**3 + 29*w**2 + 14*w - 38. Let v(u) = 21*c(u) - 2*m(u). Factor v(n).
3*(n - 3)*(n - 2)**2*(n + 1)
Let a(y) be the first derivative of 3*y**5/140 - y**4/14 + y**3/14 + 7*y - 14. Let p(g) be the first derivative of a(g). Determine z, given that p(z) = 0.
0, 1
Let f(b) be the first derivative of -1/2*b**6 + 1 + 0*b**4 + 0*b - 2*b**3 + 3/2*b**2 + 6/5*b**5. Suppose f(t) = 0. Calculate t.
-1, 0, 1
Let r(i) be the first derivative of -7*i**5/4 - 15*i**4/2 - 25*i**3/2 - 10*i**2 - 26*i - 26. Let q(t) be the first derivative of r(t). Factor q(g).
-5*(g + 1)**2*(7*g + 4)
Suppose c + 8*c = 36. Suppose -2*h**2 + 3 - 3 - 2*h**c + 4*h**3 + 0*h**3 = 0. Cal