derivative of -i**6/300 - 461*i**5/150 - 919*i**4/60 - 153*i**3/5 + 22*i**2 + 6*i. Factor f(q).
-2*(q + 1)**2*(q + 459)/5
Let n be ((-16)/(-330) + (-266)/1463)/(9/(-255)). Factor n + 32/9*t - 2/9*t**2.
-2*(t - 17)*(t + 1)/9
Suppose 3*k - 21*k = -1890. Suppose -101*l - 16 = -k*l. Solve 0 + 18/7*i**2 + 6/7*i**l + 18/7*i**3 + 6/7*i = 0.
-1, 0
Let s be 24666/35 - 0 - (-33)/(-55). Let g = -703 + s. Factor -g*t + 2/7*t**2 + 8/7*t**3 - 2/7.
2*(t - 1)*(t + 1)*(4*t + 1)/7
Let r be 33/4*1 - 1/4. Let d be (-6)/(6/2)*(-8)/r. Factor -2*p**2 - 4*p - p - d*p + 3*p**2.
p*(p - 7)
Let i(s) be the first derivative of 70*s**6/3 + 3*s**5 - 105*s**4 - 325*s**3/3 - 15*s**2 - 1391. Let i(j) = 0. What is j?
-1, -3/28, 0, 2
Let x(l) be the first derivative of 2*l**2 + 2/9*l**3 + 16/3*l + 25. Determine a, given that x(a) = 0.
-4, -2
Suppose 348 - 3*k**2 + 198*k + 684*k - 945 - 1155 = 0. What is k?
2, 292
Let a(v) be the third derivative of 0 - 1/100*v**5 + 1/10*v**4 - 3/10*v**3 + 4*v - 3*v**2. Factor a(k).
-3*(k - 3)*(k - 1)/5
Let r(a) be the first derivative of 0*a - 1/4*a**6 - 87 + 0*a**2 + 0*a**5 - a**3 + 9/8*a**4. Solve r(s) = 0.
-2, 0, 1
Let w(v) = -2*v**2 - 3266*v + 894343. Let s(u) = -9*u**2 - 13062*u + 3577371. Let b(i) = 5*s(i) - 21*w(i). Suppose b(k) = 0. What is k?
546
Suppose 672*b + 23*b**2 + 10*b**2 + 19*b**2 + 14*b**2 - 64*b**2 = 0. Calculate b.
-336, 0
Let g(m) be the second derivative of m**4/8 + 5*m**3 + 57*m**2/4 - 99*m - 4. Factor g(b).
3*(b + 1)*(b + 19)/2
Let d(u) be the first derivative of u**5/4 + 15*u**4/2 + 44*u - 27. Let j(x) be the first derivative of d(x). Suppose j(w) = 0. What is w?
-18, 0
Let o(j) = 3*j**2 + 3. Let f(v) = -4*v**2 - 2. Let a be (1/(-3))/((-2)/30). Let k(r) = a*f(r) + 6*o(r). Factor k(c).
-2*(c - 2)*(c + 2)
Let q(g) be the third derivative of 0 + 1/900*g**6 + 89*g**2 + 3/5*g**3 + 1/50*g**5 + 3/20*g**4 - g. Factor q(z).
2*(z + 3)**3/15
Let k(l) be the second derivative of 27*l**5/40 - 137*l**4/24 + 5*l**3/6 - 1501*l. Factor k(g).
g*(g - 5)*(27*g - 2)/2
Let z(l) be the third derivative of -1/20*l**5 - 6*l**3 + 0 - 36*l**2 + 0*l - l**4. Factor z(m).
-3*(m + 2)*(m + 6)
Find x such that -84/11*x + 334/11*x**2 + 8/11*x**3 + 0 = 0.
-42, 0, 1/4
Let v = 378 + -378. Let c be (v - -4) + (-100)/(-16) + -9. Find t, given that -3/2 - 1/4*t**2 - c*t = 0.
-3, -2
Let l(q) be the third derivative of 1/150*q**6 - 1/60*q**3 - 140*q**2 + 0 + 1/24*q**4 - 17/600*q**5 + 0*q. Factor l(t).
(t - 1)**2*(8*t - 1)/10
Let s(q) be the second derivative of q**6/10 + 231*q**5/20 - 79*q**4/4 - 77*q**3/2 + 117*q**2 - 1516*q. Factor s(c).
3*(c - 1)**2*(c + 1)*(c + 78)
Let x be (10/(-1000))/((-2)/20*12). Let m(w) be the third derivative of x*w**4 + 1/15*w**3 + 0*w + 0 - 1/300*w**5 + 10*w**2. Determine f, given that m(f) = 0.
-1, 2
Let q be 26/36 + (-12)/54. Suppose -4*x + 8 = -0*x. Factor 2*l**x + q*l + 1/2*l**5 + 0 + 3*l**3 + 2*l**4.
l*(l + 1)**4/2
Let q = -75301 - -75304. Suppose -15*m + 25/4 + 1/4*m**4 + 23/2*m**2 - q*m**3 = 0. Calculate m.
1, 5
Let h = 198955 - 46555589/234. Let d = -5/78 - h. Solve 1/9*c**3 - d*c - 4/9*c**2 + 0 + 1/9*c**4 = 0.
-2, -1, 0, 2
Suppose 2*v + 0*v = v. Let j be 118/236*(0 + v/2). Determine x, given that -8/7*x - 4/7*x**4 - 20/7*x**2 - 16/7*x**3 + j = 0.
-2, -1, 0
Suppose -1131*p + 1126*p + 6 + 4 = 0. Find n, given that -p*n - n**3 + 2/3 + 13/6*n**2 + 1/6*n**4 = 0.
1, 2
Let k(d) be the third derivative of 0*d - 11/5*d**5 + 0*d**3 + 1 + 5/3*d**4 - 6/35*d**7 - 26/15*d**6 + 3*d**2. Suppose k(x) = 0. What is x?
-5, -1, 0, 2/9
Let i be 1/((-6 - -2)/(-60)). Suppose 2*l + i = s, -l - 60 = -3*s - s. Factor 3*o**2 - 12*o - o**3 - 4*o**3 + 2*o**3 - s*o**2.
-3*o*(o + 2)**2
Let g = -137227 - -137227. Factor -18/23*z - 2/23*z**2 + g.
-2*z*(z + 9)/23
Let j(o) be the second derivative of -o**5/5 + 38*o**4/3 + 160*o**3/3 + 2*o + 21. Find l such that j(l) = 0.
-2, 0, 40
Suppose 42 = -3*n + 6*n. Let y be ((-24)/n)/(4 - 33/6). Factor -2/7 - y*o + 8/7*o**3 + 2/7*o**2.
2*(o - 1)*(o + 1)*(4*o + 1)/7
Let h(u) be the third derivative of u**6/1200 - 103*u**5/300 - 26*u**4/15 - 2130*u**2. Factor h(r).
r*(r - 208)*(r + 2)/10
Let f be -3 + 3 + (-58)/10. Let o = f + 6. Suppose -o + 6/5*c - 9/5*c**2 + 4/5*c**3 = 0. Calculate c.
1/4, 1
Factor -9*m**5 - m + m + 4*m**5 - 111626*m**4 + 113221*m**4.
-5*m**4*(m - 319)
Let a(j) be the first derivative of -1/4*j**5 + 0*j**2 - 5/3*j**3 + 5/4*j**4 - 19*j + 23. Let o(t) be the first derivative of a(t). Factor o(d).
-5*d*(d - 2)*(d - 1)
Let u(h) be the first derivative of 5*h**6/48 + 31*h**5/20 + 69*h**4/32 - 23*h**3/6 - 11*h**2/4 + 793. Determine r, given that u(r) = 0.
-11, -2, -2/5, 0, 1
Let f(s) be the third derivative of 49*s**7/45 + 23*s**6/12 + s**5/45 - 1275*s**2. Factor f(d).
2*d**2*(d + 1)*(343*d + 2)/3
Let k be (-228)/140 + 16/80. Let p = -6/7 - k. Factor 8/7*w + p*w**2 - 12/7.
4*(w - 1)*(w + 3)/7
Let u(y) be the third derivative of 2*y**7/49 + 1031*y**6/420 + 439*y**5/70 - 296*y**4/21 + 44*y**3/7 - 14*y**2 - 51*y. Let u(m) = 0. Calculate m.
-33, -2, 2/15, 1/2
Let p(r) be the third derivative of r**6/1260 - 19*r**5/315 + 2*r**4/7 + 3460*r**2. Suppose p(l) = 0. What is l?
0, 2, 36
Factor -3/5*d**2 - 252/5 + 12*d.
-3*(d - 14)*(d - 6)/5
Let v(o) = 5*o**2 - 35*o + 27. Let r(c) = -20. Let h(j) = 11. Let n(s) = 11*h(s) + 6*r(s). Let k(w) = -3*n(w) - v(w). Suppose k(u) = 0. What is u?
1, 6
Let n be (-8 + 13)/30 - 105/(-18). Suppose -4 + 2*s + 0*s**2 + 152*s**4 - 154*s**4 + s**3 - 3*s**3 + n*s**2 = 0. Calculate s.
-2, -1, 1
Let s(t) be the second derivative of t**4/24 + 23*t**3/3 - 93*t**2/4 - 150*t - 1. Find j such that s(j) = 0.
-93, 1
Suppose 4*y - 3*r = -y + 40, -2*y = r - 16. Let b(a) = a**2 - 6*a - 10. Let v be b(y). Suppose v*h + 0*h - 3*h - h**2 - 4*h = 0. Calculate h.
-1, 0
Let a = -10991 + 10995. Let p(f) be the third derivative of 0 - 1/2*f**a + 0*f - 1/10*f**5 - 1/160*f**6 + 0*f**3 + 25*f**2. Factor p(k).
-3*k*(k + 4)**2/4
Let h(n) = 15*n**2 + 11*n - 16. Let f be (-4)/14 - ((-72)/56 + 7). Let d(q) = -4*q**2 - 3*q + 4. Let a(t) = f*h(t) - 22*d(t). What is k in a(k) = 0?
-2, 2
Factor -3/2*j**2 + 60 - 117/2*j.
-3*(j - 1)*(j + 40)/2
Let c(w) be the second derivative of -8 - 1/42*w**4 + 4/21*w**3 + 0*w**2 - 2*w. Suppose c(u) = 0. Calculate u.
0, 4
Let w(a) be the first derivative of a**6/90 - a**5/5 - 7*a**4/6 + 3*a**3 - a**2 - 29. Let d(z) be the third derivative of w(z). Suppose d(f) = 0. Calculate f.
-1, 7
Let q = -1533 - -1086. Let o = q - -450. Find g, given that -12/25*g**2 + 26/25*g**o - 8/5*g + 16/25 + 2/5*g**4 = 0.
-2, 2/5, 1
Let v(a) = -9*a**3 + 21*a**2 - 6*a - 11. Suppose -c + 23*c = -66. Let x(o) = -5*o**3 + 11*o**2 - 4*o - 5. Let w(g) = c*v(g) + 5*x(g). Solve w(b) = 0 for b.
-1, 1, 4
Find o such that 0*o**2 + 2/5*o**3 - 74/5*o + 168/5 = 0.
-7, 3, 4
Suppose 26*o - 24*o = -3*f + 55, 5*f - 6*o - 45 = 0. Factor 9/5 + f*a - 196/5*a**3 + 112/5*a**2.
-(a - 1)*(14*a + 3)**2/5
Let a(j) be the second derivative of 36*j**2 - 1/3*j**4 - 12*j - 1/10*j**5 + 5*j**3 + 4. Factor a(u).
-2*(u - 4)*(u + 3)**2
Let h = 682276/1023405 - 2/341135. Let 19/3 - 151/6*t - h*t**2 = 0. Calculate t.
-38, 1/4
Let z = -14796987186 - -599396356999027/40508. Let c = z + 1/3116. Let -c*o + 18/13*o**2 + 4/13 = 0. Calculate o.
2/9, 1
Let a be (-499)/(-4990) - (-6)/20. Factor -2/15*x**5 - a*x**4 + 0 - 2/15*x**2 - 2/5*x**3 + 0*x.
-2*x**2*(x + 1)**3/15
Let x = -8126737/9 - -902971. Find p, given that 0*p + x*p**2 - 2/9 = 0.
-1, 1
Let z(o) be the first derivative of -3/35*o**5 + 0*o**3 + 0*o + 0*o**2 + 1/14*o**6 - 81 - 3/14*o**4. Factor z(l).
3*l**3*(l - 2)*(l + 1)/7
Let g be (1 - -2 - 7) + -52. Let i be 354/531 - g/(-102). Determine s, given that 0 + 8/17*s**3 + i*s**4 + 0*s - 2/17*s**2 - 8/17*s**5 = 0.
-1, 0, 1/4, 1
Let v be (1/4)/(4152/10380). Solve -v + 3/4*o**2 - 29/8*o = 0 for o.
-1/6, 5
Factor 3 + 45/7*x**2 + 78/7*x.
3*(3*x + 1)*(5*x + 7)/7
Factor 15/4*f + 1/8*f**2 + 29/8.
(f + 1)*(f + 29)/8
Let y be -10*(-2)/4 - (-38 - -14). Let 1057 + 1515 - 115*k - y*k + 20 + 2*k**2 = 0. What is k?
36
Let i be ((-1)/(-1))/(1 + 16/(-20)). Let x(t) be the second derivative of 0*t**3 + 0*t**2 + 1/27*t**4 + 0 - 3*t + 1/45*t**i. Solve x(r) = 0 for r.
-1, 0
Factor 1/5*l**5 + 504/5*l - 69/5*l**4 + 78*l**3 + 0 - 764/5*l**2.
l*(l - 63)*(l - 2)**3/5
Su