 + 0 + 1/210*t**5 + 1/140*t**6. Factor x(h).
2*(h - 1)*(h + 1)**2*(h + 2)/7
Let h(k) = -8*k + 28. Let i be h(3). Suppose -16 + 48*y + 19*y**i - 52*y**2 + 24*y**4 + 24*y**3 - 47*y**4 = 0. Calculate y.
1, 2
Let z = -16 + 20. Suppose 8*i + 1 - 3 + 8*i**3 - 2*i**z - 127*i**2 + 115*i**2 = 0. Calculate i.
1
Let d(r) be the first derivative of -65*r**4/12 - 70*r**3/3 - 10*r**2 - 25*r - 15. Let q(b) be the first derivative of d(b). Factor q(i).
-5*(i + 2)*(13*i + 2)
Let 2/5*c**3 + 298/5*c**2 + 2190*c - 2250 = 0. What is c?
-75, 1
Let h = -347 - -353. Let s(u) be the second derivative of -1/120*u**h + 0 - 1/8*u**4 - 1/6*u**3 - 1/8*u**2 + 8*u - 1/20*u**5. Factor s(a).
-(a + 1)**4/4
Let k(o) be the third derivative of -5*o**5/36 - 3*o**4/8 - o**3/9 - 116*o**2 + 2. Factor k(z).
-(z + 1)*(25*z + 2)/3
Suppose 3*f - 4*z = 26, 2*f - 20 = -3*f + 2*z. Let r be 5 - (2 - (2 + -2)). Factor s + 3*s**f - 2*s**2 + 123*s**r - 124*s**3 - 1.
-(s - 1)**2*(s + 1)
Let l be 6/4*(-72)/(-12). Factor l*k**2 - 16 + 7*k**2 - 4*k**2 - 16*k.
4*(k - 2)*(3*k + 2)
Suppose 4*y - y - r - 2 = 0, -4*y + 2 = -r. Let x be 6/((-1)/(y + -1)). Factor 2 - 2*m - 2*m**2 - x + 3*m + 5*m.
-2*(m - 2)*(m - 1)
Let v(c) be the second derivative of 2*c**6/15 + c**5/5 - c**4 - 2*c**3/3 + 4*c**2 - 81*c - 2. Factor v(i).
4*(i - 1)**2*(i + 1)*(i + 2)
Let b(m) be the second derivative of m**4/2 + 5*m**3/3 + 2*m**2 + 6*m. Let z(f) = f**2 - 1. Let w(y) = b(y) - 4*z(y). Let w(a) = 0. What is a?
-4, -1
Let p = 40 - 24. What is s in -p - 17*s - 4*s**2 + 16 + 45*s = 0?
0, 7
Suppose -16*k + 7*k**2 - 9*k - 28*k**2 - 28*k**4 - 95*k**2 + k - 120*k**3 = 0. What is k?
-3, -1, -2/7, 0
Let r(g) be the first derivative of g**6/72 - g**5/8 + 4*g**3/3 - 8. Let t(v) be the third derivative of r(v). Factor t(f).
5*f*(f - 3)
Let t be (-66)/(-11) - 15/(-10)*-4. Factor -u**2 + 7/2*u**3 + t + 0*u.
u**2*(7*u - 2)/2
Let v(g) be the second derivative of -2*g - 24 + 1/3*g**3 + 1/15*g**4 - 6/5*g**2 - 1/50*g**5. Factor v(t).
-2*(t - 3)*(t - 1)*(t + 2)/5
Let s = 13 - -17. Let f = -24 + s. Factor -6*q**2 - 4*q**3 - q + f*q**2 + 5*q.
-4*q*(q - 1)*(q + 1)
Let n(k) be the second derivative of k**8/10920 - k**6/780 - k**5/390 - 2*k**3/3 + k. Let q(g) be the second derivative of n(g). Suppose q(d) = 0. Calculate d.
-1, 0, 2
Suppose 255*q**2 - 15 - 57 + 35*q**3 + 192 + 490*q = 0. What is q?
-4, -3, -2/7
Suppose -223*t + 21*t**2 + 3*t**3 + 132 + 59*t + 44*t = 0. Calculate t.
-11, 2
Let k = -4912/9 + 26429/18. Determine a, given that -18*a**2 + k*a**4 + 267*a**3 + 825*a**5 - 12*a + 0 = 0.
-1/2, -2/5, 0, 2/11
Suppose 515 = 5*c - 5*g, c - 172 + 54 = 4*g. Let s be 735/c*((-1)/(-5))/1. Find x, given that -s*x**2 + 0 - x + 1/2*x**4 + 0*x**3 = 0.
-1, 0, 2
Let g(d) = -2*d - 1. Let c be g(-2). Factor -2*m**2 - 6*m**3 + 5*m**3 - 2*m**4 - 2*m**2 - 5*m**c.
-2*m**2*(m + 1)*(m + 2)
Let f(a) be the second derivative of a**5/8 - 415*a**4/12 + 8815*a**3/3 - 16810*a**2 - 326*a + 2. Factor f(o).
5*(o - 82)**2*(o - 2)/2
Factor 461*s - 5*s**2 - 267*s + 96*s - 4205.
-5*(s - 29)**2
Let n = 23/20 + -2/5. Let b = -1/4 + n. Factor z**2 + 0*z**3 + 1/2*z**5 - b*z + 0 - z**4.
z*(z - 1)**3*(z + 1)/2
Let g(a) be the first derivative of 7*a**6/2 - 99*a**5/5 - 51*a**4/4 + 33*a**3 + 15*a**2 + 14. Let g(c) = 0. Calculate c.
-1, -2/7, 0, 1, 5
Let y(j) be the second derivative of j**8/8400 - 11*j**7/12600 + j**6/360 - j**5/200 - j**4/4 - j. Let k(n) be the third derivative of y(n). Factor k(s).
(s - 1)**2*(4*s - 3)/5
Determine x, given that -40*x**2 - 220/7*x + 240/7*x**3 + 16*x**4 + 24 - 20/7*x**5 = 0.
-2, -1, 3/5, 1, 7
Let r(i) = 32*i - 384. Let f be r(12). Let c(p) be the first derivative of 1/5*p**5 + 0*p - 10 + 3/8*p**4 - 1/3*p**3 + f*p**2. Factor c(j).
j**2*(j + 2)*(2*j - 1)/2
Factor -1/2*h**4 - 9/2*h**3 - 7*h**2 + 0 + 0*h.
-h**2*(h + 2)*(h + 7)/2
Let i(z) be the second derivative of 5/6*z**3 - 5/12*z**4 + 0*z**2 + 0 + 6*z. Factor i(c).
-5*c*(c - 1)
Suppose 0 = 3*k + u - 8, 3*k - 22 = 4*u + 6. Let m(g) be the third derivative of -5/84*g**k + 0 - 10*g**2 - 1/210*g**5 - 4/21*g**3 + 0*g. Factor m(s).
-2*(s + 1)*(s + 4)/7
Suppose -2 = -2*c + 5*z + 15, 4*c + 2*z - 22 = 0. Factor 244*v**2 - 123*v**2 + 14*v**3 + c*v**4 - 117*v**2.
2*v**2*(v + 2)*(3*v + 1)
Let z(x) be the third derivative of -1/4*x**5 + 0 + 3*x**2 + 0*x - 1/30*x**7 + 1/6*x**4 + 3/20*x**6 + 0*x**3. Factor z(j).
-j*(j - 1)**2*(7*j - 4)
Suppose 187*y - 215*y + 12 = -72. Determine i, given that 5*i**2 + 5*i**y + 0*i + 0 + 5/4*i**4 = 0.
-2, 0
Let a(i) = 2*i**2 + 187*i + 284. Let f be a(-92). Factor -7/2*y**2 + f - 1/2*y**3 - 4*y.
-(y - 1)*(y + 4)**2/2
Let p(d) be the first derivative of -3/20*d**4 + 0*d**3 + 3/10*d**2 + 0*d + 13. Factor p(t).
-3*t*(t - 1)*(t + 1)/5
Let r be (-2)/4*(6 + (-305)/100). Let i = 15/8 + r. Find b, given that -2/5*b + 2/5 - 2/5*b**2 + i*b**3 = 0.
-1, 1
Let u = -984 - -986. Let -3/5*j**u + 0*j + 0 = 0. What is j?
0
Solve 10*z**5 - 33*z + 23*z + 25*z**4 - 13*z**2 + 0*z**2 + 0*z**2 - 12*z**2 = 0.
-2, -1, -1/2, 0, 1
Let u(c) = -36*c**3 + 75*c**2 - 97*c. Let n(d) = 6*d**3 - 13*d**2 + 16*d. Let y(j) = -26*n(j) - 4*u(j). Factor y(o).
-2*o*(o - 2)*(6*o - 7)
Let b(g) = -g**3 - 2*g**2 + 8*g + 2. Let d be b(-4). Solve -i**d - 4*i**2 + 12 + i**2 + 15*i + 7*i**2 = 0 for i.
-4, -1
Let y be (-21)/6*24/42. Let p be y - (4 - 16/2). Solve -16*d**2 - 50*d - 1 - 42*d**3 - 44*d**p + 12*d**3 - 14 - 5*d**4 = 0.
-3, -1
Let z = 22836 + -22833. Determine v so that 4/11 + 8/11*v**2 - 10/11*v - 2/11*v**z = 0.
1, 2
Let x be (40/(-16))/((-3)/(-6)). Let o(c) = -c**2 - 9. Let k(g) = -g**2 - 1. Let i(m) = x*k(m) + o(m). Solve i(r) = 0.
-1, 1
Let m = 3701 - 3701. Factor 0*y - 1/4*y**3 + 1/4*y**2 + 1/4*y**5 + m - 1/4*y**4.
y**2*(y - 1)**2*(y + 1)/4
Let x = -52 + 73. What is y in 286*y**5 + 66*y**3 - 27*y**2 - 277*y**5 - x*y**3 - 33*y**4 + 6*y = 0?
0, 2/3, 1
Find a, given that 14*a**2 - 6*a**2 - 21*a**2 - 9*a**2 + 25*a + 30 - 25*a**3 + 5*a**4 - 13*a**2 = 0.
-1, 1, 6
Let q = 1 - 1. Factor -297*b**2 + q*b**3 + 4*b**3 + 65 + 300*b + 435 + 357*b**2.
4*(b + 5)**3
Determine v so that -1498*v**4 + 22*v**3 + 3*v**5 - 40*v**2 + 1484*v**4 + 22*v**3 + 2*v**5 - 4*v**5 = 0.
0, 2, 10
Suppose -30*q - 8465 + 14*q**2 + 0*q**3 + 6*q**3 + 2*q**4 - 4*q**4 + 8429 = 0. What is q?
-2, -1, 3
Suppose 1 = -2*m + 31. Let b(t) = -t**3 - t**2. Let r(w) = -2*w**3 - 3*w**2. Let s(a) = m*b(a) - 5*r(a). Factor s(k).
-5*k**3
Let a(h) be the second derivative of -6*h + 0 + 0*h**2 - 1/30*h**3 - 1/120*h**4. Let a(i) = 0. Calculate i.
-2, 0
Let f be (-26 + 3 + 6)/(-1 - -4) - -7. Factor 0 + 2*m**4 - f*m**3 + 0*m + 0*m**2.
2*m**3*(3*m - 2)/3
Let k(q) be the second derivative of q**4/24 - 41*q**3/6 - 83*q**2/4 + 248*q. Factor k(v).
(v - 83)*(v + 1)/2
Let z(g) be the first derivative of 19 - 28/5*g**5 + 64/3*g**3 + 0*g + 0*g**2 - 2/3*g**6 - 8*g**4. Factor z(x).
-4*x**2*(x - 1)*(x + 4)**2
Let f = 159 + -156. Let c(v) be the first derivative of 4 - 6*v + v**f + 3/2*v**2. Determine i so that c(i) = 0.
-2, 1
Let v = -31 - -38. Factor -2*z + v + 44*z + 9*z**2 + 17.
3*(z + 4)*(3*z + 2)
Factor 24/17 + 50/17*g - 14/17*g**2.
-2*(g - 4)*(7*g + 3)/17
Factor -5*v**3 - 2*v**2 - 39*v**2 - 20*v + v**2 - 64*v**2 - 15*v**3.
-4*v*(v + 5)*(5*v + 1)
Suppose -4*y - f - 14 = 21, 3*f + 35 = -5*y. Let q be -5 + (-62)/(-7) + 7 + y. Find r such that q + 54/7*r**3 - 33/7*r + 15/7*r**2 = 0.
-1, 2/9, 1/2
Let p(k) be the first derivative of 15 - 4/27*k**3 + 0*k - 16/45*k**5 - 7/18*k**4 + 0*k**2 - 1/9*k**6. Solve p(s) = 0 for s.
-1, -2/3, 0
Suppose 0 = -6*u + 4*u. Let l be ((-15)/(-105))/((-1)/(-4)). Let -l*t**2 + u*t + 2*t**3 + 0 = 0. Calculate t.
0, 2/7
Let q(r) be the first derivative of r**8/560 - r**6/120 - 7*r**3/3 - 5. Let t(o) be the third derivative of q(o). What is k in t(k) = 0?
-1, 0, 1
Let k(v) be the second derivative of -7*v**6/120 + 93*v**5/80 - 187*v**4/48 + 41*v**3/8 - 11*v**2/4 - 11*v - 2. Find s, given that k(s) = 0.
2/7, 1, 11
Let p(g) be the third derivative of 7*g**5/30 - 2*g**4/3 - 4*g**3 + 98*g**2. Factor p(j).
2*(j - 2)*(7*j + 6)
Let g(m) be the first derivative of m**6/80 - m**5/24 - m**4/12 + m**3/3 + 2*m**2 + 14. Let f(w) be the second derivative of g(w). Factor f(t).
(t - 2)*(t + 1)*(3*t - 2)/2
Suppose 2 - 3 = -j. Let r(b) = b**4 - b**3 - b. Let s(p) = 12*p**4 - 15*p*