/7*i**4 + 3/7*i**2 - 3/7*i**3.
3*i**2*(i - 1)**2*(i + 1)/7
Let p = 3/207277 - -59219/207277. Solve -13/7*l**4 - 9/7*l**3 + 1/7*l**2 + 0 + p*l - 5/7*l**5 = 0.
-1, 0, 2/5
Suppose 104 = 7*j + 90. Let x(m) be the second derivative of 0 - 4*m**j - 7/5*m**5 + 14/3*m**3 - m**4 + 15*m + 2/3*m**6. Solve x(s) = 0 for s.
-1, 2/5, 1
Let l(t) be the first derivative of 0*t - 1 - 2/7*t**2 + 1/7*t**4 + 4/21*t**3 - 4/35*t**5. Factor l(u).
-4*u*(u - 1)**2*(u + 1)/7
Let k(p) be the third derivative of -p**7/945 - 2*p**6/27 - 157*p**5/90 - 13*p**4 - 36*p**3 + 4*p**2 + 30. Suppose k(m) = 0. Calculate m.
-18, -3, -1
Let r(h) be the second derivative of -45/4*h**2 + 7/4*h**3 - 1/40*h**5 + 21 + 1/24*h**4 + h. What is s in r(s) = 0?
-5, 3
Let z = 86/91 - -1016/273. Solve -z*q**2 + 50 + 2/3*q**3 - 10/3*q = 0 for q.
-3, 5
Factor -8*p**3 - 2/7*p**4 + 0 - 256/7*p**2 + 2048/7*p.
-2*p*(p - 4)*(p + 16)**2/7
Solve 6*j**3 + 0 - 216/5*j - 6/5*j**4 + 72/5*j**2 = 0 for j.
-3, 0, 2, 6
Let q(z) = 16*z**2 + 5. Let r be q(0). Let d(a) be the first derivative of -7 + 4/5*a**5 + 6*a**2 + 0*a + 28/3*a**3 + r*a**4. Find n, given that d(n) = 0.
-3, -1, 0
Factor 5/2*g**4 + 0 + 225/2*g + 55/2*g**3 - 285/2*g**2.
5*g*(g - 3)*(g - 1)*(g + 15)/2
Let q(r) be the first derivative of r**9/12096 - r**7/1120 - r**6/720 - r**3/3 - 2*r**2 - 72. Let c(n) be the third derivative of q(n). Factor c(x).
x**2*(x - 2)*(x + 1)**2/4
Let c = 72339/1492 + 23/1492. Factor -c*j + 11 - 9/2*j**2.
-(j + 11)*(9*j - 2)/2
Let n(p) be the second derivative of p**7/147 - 4*p**6/21 + 72*p**5/35 - 32*p**4/3 + 512*p**3/21 - 930*p - 3. Factor n(t).
2*t*(t - 8)*(t - 4)**3/7
Let w be (10/(-105))/((-1)/3). Let i be 3/(-8)*(-474)/(-711) - 206/(-56). Suppose w*n**4 + 6/7 - 12/7*n**3 + i*n**2 - 20/7*n = 0. Calculate n.
1, 3
Suppose 3*k + 0*k = -4*z + 156, 0 = -4*k + z + 189. Let b be (k/40)/((-6)/(-15)). Factor 53*d**3 - 3*d**b + 36*d**2 + 2*d + 6*d + 106*d**4 - 79*d**4 + 5*d**5.
d*(d + 1)*(d + 2)**2*(5*d + 2)
Let l(t) be the third derivative of 1/330*t**5 + 75/11*t**3 + 0*t - 3*t**2 + 5/22*t**4 - 2. Solve l(q) = 0 for q.
-15
Let u(q) be the second derivative of -q**4 + 4/5*q**2 - 14/75*q**6 + 0 - 2/15*q**3 - 110*q - 19/25*q**5. Factor u(h).
-4*(h + 1)**3*(7*h - 2)/5
Solve 11*b**2 + 6*b**2 - 25*b**3 + 23*b**2 + 21*b**3 = 0.
0, 10
Let f = 253235 + -1265293/5. Factor -2/5*a**3 - f*a + 0 - 84/5*a**2.
-2*a*(a + 21)**2/5
Let i be ((-24)/10)/(-18*(-495)/(-2700)). Let f = 10689/11 + -971. Factor i*w - 2/11*w**4 - f + 6/11*w**2 - 4/11*w**3.
-2*(w - 1)**2*(w + 2)**2/11
Let s(w) be the second derivative of w**5/10 + 23*w**4/6 - 26*w**3/3 - 48*w**2 + 25*w - 8. Factor s(c).
2*(c - 2)*(c + 1)*(c + 24)
Let g be (((-12904)/272597)/(6/(-13)))/((-2)/6 + 1). Solve -84/13*f**2 + 22/13*f**3 - 80/13 - g*f**4 + 136/13*f = 0.
2, 5
Suppose -222*a = -199*a + 3312. Let j be (1/4)/(-7 + (-1020)/a). Factor 14/5*o**2 + 2/5*o**j + 0 + 0*o.
2*o**2*(o + 7)/5
Let f(b) = 2*b**3 - 2*b**2 - 43*b + 80. Let y be f(2). What is c in -9/2 + 3/2*c**y - 3*c = 0?
-1, 3
Let r be (-32)/72*(6 - 651/98). Let r*a - 2/7*a**4 + 0 - 2/7*a**3 + 2/7*a**2 = 0. Calculate a.
-1, 0, 1
Let v(p) be the second derivative of p**6/45 + 29*p**5/15 + 109*p**4/18 - 56*p**3/3 + 4190*p. Determine q so that v(q) = 0.
-56, -3, 0, 1
Let f = 18806 - 56416/3. Let g = -5/2 + 19/6. Factor 2/3*c**4 - f*c**2 + 2/3*c**3 + 0*c - g*c**5 + 0.
-2*c**2*(c - 1)**2*(c + 1)/3
Suppose -105 = -92*n + 61 + 18. Let p(k) be the third derivative of -1/8*k**4 - 4*k**n - 1/20*k**5 + 1/40*k**6 + 1/70*k**7 + 0*k**3 + 0 + 0*k. Factor p(q).
3*q*(q - 1)*(q + 1)**2
Solve -3/8*s**2 - 37488675/8 - 10605/4*s = 0 for s.
-3535
Let p(o) be the third derivative of o**6/105 + 123*o**5/70 - 10*o**4/3 - 31*o**3/7 - 316*o**2 + 5*o - 2. Factor p(d).
2*(d - 1)*(d + 93)*(4*d + 1)/7
Let -14/11*p**2 - 6/11*p**3 + 2/11*p**4 + 54/11*p - 36/11 = 0. Calculate p.
-3, 1, 2, 3
Factor 15*r - 76*r**3 + 72*r**3 + 236*r**2 + r - 16*r.
-4*r**2*(r - 59)
Let o(u) be the third derivative of u**9/302400 - u**7/3600 - u**6/600 + 17*u**5/10 + 2*u**2 - 10*u. Let s(v) be the third derivative of o(v). Factor s(j).
(j - 3)*(j + 1)*(j + 2)/5
Let w = -17604 + 17609. Let v(y) be the third derivative of 0*y - 1/25*y**w + 1/350*y**7 - 37*y**2 + 0*y**4 + 0*y**3 + 0 - 3/200*y**6. Let v(d) = 0. What is d?
-1, 0, 4
Factor 1/3*h**4 - 8/3*h + 0 + 14/3*h**2 - 7/3*h**3.
h*(h - 4)*(h - 2)*(h - 1)/3
Find b, given that 1755/4 - 5/4*b**2 - 35/2*b = 0.
-27, 13
Let a(h) be the second derivative of -7/2*h**2 - 11/30*h**6 - 23/6*h**4 + 1/42*h**7 + h + 1 + 17/10*h**5 + 29/6*h**3. Factor a(z).
(z - 7)*(z - 1)**4
Let s(h) be the third derivative of -5/12*h**6 + 0*h + 9 - 65/6*h**4 - 43/12*h**5 - 10*h**3 + 5*h**2. Factor s(z).
-5*(z + 2)**2*(10*z + 3)
Factor 99/5*g + 3/5*g**2 + 189/5 - 3/5*g**3.
-3*(g - 7)*(g + 3)**2/5
Determine n so that 1736/3*n - 94178/9 - 8*n**2 = 0.
217/6
Let q(h) be the second derivative of -2/9*h**3 + 1/4*h**2 + 1/60*h**5 - 9*h + 1/24*h**4 + 0. Solve q(d) = 0 for d.
-3, 1/2, 1
Let c(o) be the second derivative of o**4/6 + 2149*o**3/9 - 478*o**2 - 7*o - 286. Solve c(p) = 0 for p.
-717, 2/3
Let a(i) be the first derivative of -4*i**5/15 - 450*i**4 + 5408*i**3/3 - 8116*i**2/3 + 1804*i + 664. Factor a(g).
-4*(g - 1)**3*(g + 1353)/3
Suppose -23*s - 132 = -21*s. Let y be (s - -63)/((-4)/6). Suppose 0 + y*a + 21/2*a**2 = 0. What is a?
-3/7, 0
Solve 986459 - 132683 - 12*u**2 - 3696*u + 16*u**2 = 0.
462
Let p be (12/2)/((-18)/(-12)). Suppose 2*a = -2*a - p*m + 18792, 15 = -3*m. Solve -a + 4704 + 2*g + 3*g**2 - 5*g - g**3 = 0 for g.
1
Let z = -21623/8 + 2703. Let o(g) be the third derivative of 2*g**2 + 0*g**3 + 0 - z*g**4 + 1/40*g**5 + 0*g. Factor o(i).
3*i*(i - 2)/2
Factor -34/5*a + 33/5*a**2 + 1/5*a**3 + 0.
a*(a - 1)*(a + 34)/5
Factor 2*x**2 - 7/2*x**3 + 6*x + 1/2*x**4 + 0.
x*(x - 6)*(x - 2)*(x + 1)/2
Let 4800*w**2 - 66*w**4 + 2116*w + 4*w**5 + 260*w**3 + 5884*w - 2*w**5 = 0. Calculate w.
-5, -2, 0, 20
Let i = -35 - -41. Factor -54*b + 8*b**3 + 27*b**2 + 15*b**4 - i - 5*b**3 + 51*b + 36*b**3.
3*(b + 1)**3*(5*b - 2)
Suppose 0 = 7*h - 115 + 10. Let y be ((-21)/(-56)*1)/(h/20). Factor 0 + 9/2*k + y*k**2.
k*(k + 9)/2
Factor 49/2*q - 110 - 1/2*q**2.
-(q - 44)*(q - 5)/2
Factor -232*x**3 - 89*x**3 - 288*x + 322*x**3 + 93*x**2.
x*(x - 3)*(x + 96)
Let k = -2/143 - -437/572. Suppose -2 = -w - 4*l, 2 = w - 25*l + 24*l. Suppose 3/4*s**4 - k*s**w + 0*s**3 + 0 + 0*s = 0. What is s?
-1, 0, 1
Let q(n) = 118*n**3 + 48*n**2 - 143*n - 34. Let c(r) = 28*r**3 + 12*r**2 - 36*r - 8. Let t(o) = -17*c(o) + 4*q(o). Suppose t(b) = 0. What is b?
-5, 0, 2
Suppose -16/3*v**4 + 0 - 22*v**3 - 95/3*v + 176/3*v**2 + 1/3*v**5 = 0. Calculate v.
-5, 0, 1, 19
Let g = 58513/73135 - 1/14627. Let j(h) be the first derivative of 0*h**2 - 19 + g*h**5 + 2*h**4 + 0*h - 2/3*h**6 + 0*h**3. Let j(u) = 0. What is u?
-1, 0, 2
Let u(w) be the first derivative of 7/26*w**4 + 0*w - 2/65*w**5 - 45 - 7/13*w**2 + 2/39*w**3. Suppose u(z) = 0. Calculate z.
-1, 0, 1, 7
Let c(w) be the first derivative of -44 - 1/14*w**4 + 0*w - 10/21*w**3 - 6/7*w**2. Find l such that c(l) = 0.
-3, -2, 0
Suppose -4*o + 1 + 1 = -2*b, 5*o - 15 = 0. Suppose 4*j = j + 4*h + 9, -50 = -b*j - 5*h. Factor 60*n**3 + j*n**2 - n**5 - 3*n**4 - 4 + 56*n**3 - 115*n**3.
-(n - 1)**2*(n + 1)*(n + 2)**2
Suppose -34*y = -39*y + 20. Factor -2317*u + 2*u**5 + 1156*u - 8*u**y + 8*u**2 + 1155*u + 4*u**3.
2*u*(u - 3)*(u - 1)**2*(u + 1)
Let i(a) = 840 + 2*a - 10*a - 2*a**2 - 838. Let q(k) = -k**2 - 1. Let f(u) = -i(u) - 2*q(u). Suppose f(p) = 0. Calculate p.
-2, 0
Factor -2*q**4 + 1357*q**3 - 4717*q**3 - 846720*q**2 - 3905499435 - 77471445 - 3*q**4 - 94832640*q.
-5*(q + 168)**4
Let g(h) = 6*h**4 - 15*h**3 - 75*h**2 - 75*h - 24. Let c(u) = u**4 + u**3 - u. Let n = -20 + 23. Let k(x) = n*c(x) + g(x). What is d in k(d) = 0?
-1, -2/3, 4
Let v(f) = f**2 + 11*f + 14. Let s be v(-10). Suppose -p + s = p. Factor 5*g**2 + 5*g + 3*g**2 - 10*g**3 - 5*g**4 - 5 + p*g**2 + 5*g**5.
5*(g - 1)**3*(g + 1)**2
Let y(q) be the second derivative of q**5/50 - 127*q**4/30 + 374*q**3/15 - 248*q**2/5 + 30*q + 20. Find v such that y(v) = 0.
1, 2, 124
Factor -12*m - 47/8*m**2 - 1/2*m**3 + 27/8.
-(m + 3)*(m + 9)*(4*m - 1)/8
Let u(j) be the first derivative of -j**6/192 + 7*j**5/320 - j**4/32 - 11*