m(k) be the first derivative of 2*k**3/21 + 74*k**2/7 + 2738*k/7 - 429. What is o in m(o) = 0?
-37
Let m(f) be the third derivative of f**6/780 - 2*f**5/195 - 5*f**4/156 - 4*f**2 + 12. Factor m(r).
2*r*(r - 5)*(r + 1)/13
Suppose 4*x + 20 = t + x, -3*t + 18 = 5*x. Suppose -4*k**5 + 5 + 6 - t + 28*k**4 - 60*k**3 + 36*k**2 = 0. Calculate k.
0, 1, 3
Let r = 50 - 48. Factor -2*c**2 - c - r*c + 7*c.
-2*c*(c - 2)
Factor -4/9*h + 2/9*h**3 + 0 + 2/9*h**2.
2*h*(h - 1)*(h + 2)/9
Let z(w) = -2*w**2 - 2*w + 1. Let p(j) = 13*j**2 + 75*j + 56. Let g(h) = p(h) + 6*z(h). Let g(k) = 0. Calculate k.
-62, -1
Suppose 0 = -4*b - 0*d + 3*d - 4, 28 = 4*b + 5*d. Suppose -5*g - b*f + 6 = -3*g, g - 5*f + 3 = 0. Factor -3*k - k + 9 + k**2 - 4*k + g*k.
(k - 3)**2
Suppose -32*g = 21*g - 106. Let x(c) be the third derivative of 1/84*c**4 + 4*c**g + 0*c**3 + 0 + 0*c + 1/105*c**5 + 1/420*c**6. Factor x(w).
2*w*(w + 1)**2/7
Determine a so that -745 + 3*a**5 + 245 - 15*a**4 - 3*a**5 - 76*a**3 + 395*a**2 + 5*a**5 - 49*a**3 = 0.
-5, -1, 2, 5
Suppose -4*q - 4*l - 32 = 0, 2 + 3 = -5*q + 2*l. Let s be 4/2*q/(-2). Suppose 2*v**3 - 4*v + 7*v - s*v = 0. What is v?
0
Let o(i) be the first derivative of 10*i**6/3 + 59*i**5 + 705*i**4/4 + 545*i**3/3 + 55*i**2/2 - 60*i - 107. Find u such that o(u) = 0.
-12, -1, 1/4
Let p = 6785 - 6783. Let c = -5/6 + 4/3. What is y in 2 + p*y + c*y**2 = 0?
-2
Let a be 272/480*(-2 - (-18)/5). Let x = a - 6/25. Factor 4/3*s**2 - 2/3*s**3 + 0 - x*s.
-2*s*(s - 1)**2/3
Let r(s) be the third derivative of -s**5/60 - s**4/6 + s**3/3 - 8*s**2. Let d be r(-4). What is k in -5*k + 3*k + 3*k**2 + 0*k - 2*k**d = 0?
0, 2
Let n(w) be the third derivative of -7*w**5/30 + w**4/24 + 63*w**2. Factor n(g).
-g*(14*g - 1)
Suppose -859 = 13*v - 911. Let y(g) = g**3 - 3*g**2 - 5*g + 4. Let j be y(4). Determine o, given that 0 - 14/13*o**v + j*o - 8/13*o**2 - 32/13*o**3 = 0.
-2, -2/7, 0
Let z be 4/((-18 + -10)/(-4)). Factor -8/7 + 2*x - 2/7*x**3 - z*x**2.
-2*(x - 1)**2*(x + 4)/7
Let m be ((-2)/(-18))/(2205/27). Let n(p) be the third derivative of 0*p + 0*p**3 + m*p**7 + 0 + 1/210*p**5 - 1/210*p**6 + 0*p**4 - 3*p**2. Factor n(u).
2*u**2*(u - 1)**2/7
Let x be 6/10 + (-10)/(-25). Let g be 8/12 - x/6. Factor 0 + g*v**4 - 1/2*v + 1/2*v**3 - 1/2*v**2.
v*(v - 1)*(v + 1)**2/2
Factor 0*c**2 + 0*c**3 + 0 - 1/10*c**5 + 11/5*c**4 + 0*c.
-c**4*(c - 22)/10
Let q be (-18)/45 - 2/(-5). Suppose r + q = 2. Solve 6 + 11*z - 3*z + r*z**2 + 0 + 0*z**2 = 0 for z.
-3, -1
Suppose 2*k - 14*k = 0. Suppose -l + 4*i = -14, k*l + 5*i = 4*l - 23. Solve -3/2*x + 1/2*x**l + 1 = 0.
1, 2
Let q(w) be the third derivative of w**6/1080 + w**5/180 - w**4/24 + 5*w**3/54 - 3*w**2 + 7. Suppose q(l) = 0. What is l?
-5, 1
Suppose -4*i - 19 = -3*q, -i - 3 + 2 = 0. Suppose 3*d + 2*h - 22 = 0, -2*d - q*h + 2 = -10*h. Determine p so that -2 + 38*p**2 + 12*p + 10*p + d - 14*p**2 = 0.
-2/3, -1/4
Let j(r) be the third derivative of -r**7/42 + r**6/8 - r**5/12 - 5*r**4/8 + 5*r**3/3 - 6*r**2 - 14. Let j(l) = 0. Calculate l.
-1, 1, 2
Let r(v) be the first derivative of 3*v**4/4 - 27*v**3 + 729*v**2/2 - 2187*v - 123. Solve r(z) = 0 for z.
9
Let d(o) be the first derivative of 8*o - 29 - 11/2*o**4 + 14*o**3 - 16*o**2 + 4/5*o**5. Factor d(k).
2*(k - 2)**2*(k - 1)*(2*k - 1)
Let l(j) be the third derivative of j**5/30 + 5*j**4/6 + 25*j**3/3 - 235*j**2. Factor l(f).
2*(f + 5)**2
Suppose -3*n + 4*z + 3 = -2*n, z = 0. Find r such that 2 + 10*r - 6*r**n + 1 - 3*r**4 + 2*r - 6*r = 0.
-1, 1
Let z = -3494 - -3498. Factor 0*j + 0 - 2/3*j**5 + 2*j**z + 0*j**2 - 4/3*j**3.
-2*j**3*(j - 2)*(j - 1)/3
Let z = 6 - -8. Let 3*u + 2*u**5 + u**5 - z*u**3 + 16*u**3 - 8*u**3 = 0. What is u?
-1, 0, 1
Let s = -31450 - -31452. Let g be 2/(2*-2) + 1. Factor -1/2 + a - g*a**s.
-(a - 1)**2/2
Let n(w) = w**2 + 9*w + 14. Let u be n(-7). Let h(q) = -q - 1. Let b be h(-5). Find z such that 6*z**b - 2*z - 20*z**3 + 6*z**3 + 10*z**2 + 0*z**4 + u*z = 0.
0, 1/3, 1
Factor 2 + 3/5*m**2 - 17/5*m - 1/5*m**4 + m**3.
-(m - 5)*(m - 1)**2*(m + 2)/5
Let a be 840/98 - 56/7. Find z, given that -a + 32/7*z**3 + 12/7*z**4 + 24/7*z**2 + 0*z = 0.
-1, 1/3
Let c(s) be the second derivative of s**7/8 - s**6/8 - 27*s**5/80 + 5*s**4/16 + s**3/4 + 101*s + 2. Suppose c(f) = 0. Calculate f.
-1, -2/7, 0, 1
Factor 19/3*t**2 + 7 + 41/3*t - 1/3*t**3.
-(t - 21)*(t + 1)**2/3
Let g(h) = -52*h**2 - 140*h + 127. Let v(a) = -63*a**2 - 141*a + 126. Let l(q) = -6*g(q) + 5*v(q). Factor l(n).
-3*(n - 44)*(n - 1)
Let p(s) = -3*s**3 + 67*s**2 + 83*s - 133. Let o(h) = -h**3 + 34*h**2 + 41*h - 66. Let r(d) = -7*o(d) + 4*p(d). Factor r(f).
-5*(f - 7)*(f - 1)*(f + 2)
Factor 10/7*m**2 - 2/7*m**3 - 16/7 - 4/7*m.
-2*(m - 4)*(m - 2)*(m + 1)/7
Let s be (-3)/2*484/(-33). Solve -3*r**2 - 4*r - 2 - s + 7*r**2 = 0 for r.
-2, 3
Factor 96/5 - 368/5*n + 28/5*n**3 + 104/5*n**2.
4*(n - 2)*(n + 6)*(7*n - 2)/5
Let w(u) be the second derivative of 1/10*u**5 + 39*u + 2/3*u**3 + 0*u**2 + 0 + 1/2*u**4. Let w(i) = 0. Calculate i.
-2, -1, 0
Let r be ((-616)/(-33) + -19)*18/(-2). What is l in 2/5*l - 4/5*l**2 + 4/5 - 2/5*l**r = 0?
-2, -1, 1
Let n = 43/34 + 4903/102. Let y = 50 - n. Suppose y*b**3 + 0*b + 2/3*b**2 + 1/6*b**4 + 0 = 0. What is b?
-2, 0
Let k(h) be the third derivative of 0 + 1/8*h**4 - 1/784*h**8 + 1/140*h**6 + 2*h**2 - 1/7*h**3 + 1/245*h**7 + 6*h - 2/35*h**5. Let k(w) = 0. What is w?
-2, 1
Suppose -2*g + 5*w = 8 + 13, -4*g + w = -3. Let q = -16/19 - -150/133. Factor 2/7*r**g - 4/7 + q*r.
2*(r - 1)*(r + 2)/7
Let q(g) = -g**5 + g**3 - g**2 - 2. Let k(w) = -3*w**5 + 17*w**4 - 56*w**3 + 80*w - 8. Let d(f) = -k(f) + 4*q(f). Factor d(x).
-x*(x - 2)**2*(x + 1)*(x + 20)
Suppose 268 = -0*q + 4*q. Solve -6*b**3 + 5*b**4 - q*b**2 + 67*b**2 + 16*b**3 = 0 for b.
-2, 0
Factor 8/7 + 2/7*d - 3/7*d**2.
-(d - 2)*(3*d + 4)/7
Let n(t) be the third derivative of -t**8/252 - 2*t**7/21 - 53*t**6/90 - 7*t**5/15 + 5*t**4 - 19*t**2 - 12. Find v, given that n(v) = 0.
-10, -3, 0, 1
Let s(u) be the third derivative of u**5/570 + u**4/76 + 2*u**3/57 - 3*u**2 - 4. Find r such that s(r) = 0.
-2, -1
Suppose -5*a + 295 = -5*k, -k - 2*k = 2*a - 123. Suppose a = -4*u + 9*u. Factor 47*p**4 + 109*p**2 - 162*p**3 + 28*p**4 + 24*p**2 - u*p**5 - 24*p - p**2.
-3*p*(p - 2)**3*(4*p - 1)
Let z be -2 - 4 - -4 - (-128)/60. Let n(j) be the first derivative of -7 + z*j**3 + j**2 + 8/5*j. Find h, given that n(h) = 0.
-4, -1
Let a(g) be the third derivative of 1/840*g**6 + 0*g + 0 + 1/60*g**5 - 38*g**2 + 3/14*g**3 - 17/168*g**4. Suppose a(n) = 0. What is n?
-9, 1
Let x(d) = 4*d - 2. Let s be x(1). Factor -6*j - 8*j + s*j**2 + 2*j + 8*j.
2*j*(j - 2)
Let k(l) = -16*l**3 - 58*l**2 + 61*l - 48. Let g(d) = 6*d**3 + 20*d**2 - 20*d + 16. Let f(v) = -11*g(v) - 4*k(v). Factor f(w).
-2*(w - 2)**3
Let d(p) be the second derivative of -p**9/15120 - p**8/3360 + p**7/2520 + p**6/360 - 13*p**4/12 - 16*p. Let x(n) be the third derivative of d(n). Factor x(k).
-k*(k - 1)*(k + 1)*(k + 2)
Find r, given that -58/7 + 8*r + 2/7*r**2 = 0.
-29, 1
Let b(g) be the second derivative of -g**7/3360 + g**6/240 - g**5/40 + 4*g**4/3 - 6*g. Let l(r) be the third derivative of b(r). Let l(w) = 0. What is w?
2
Let v = -2/649 - -679/9735. Let x(q) be the third derivative of 5*q**2 + v*q**5 + 1/6*q**4 + 0 + 0*q**3 + 0*q. Determine y, given that x(y) = 0.
-1, 0
Find w such that 1685*w**4 - 7500*w**3 + 1260*w**4 + 405 + 5721*w**2 - 2700*w + 1029*w**2 + 180*w**4 = 0.
3/5
Let r(h) = -h**3 - 10*h**2 - 30*h - 109. Let a be r(-8). Suppose 0 + 21/2*y**4 - 21/2*y**2 - 3*y**3 + a*y = 0. Calculate y.
-1, 0, 2/7, 1
Let p = -7 - -1. Let f be (-2)/6 - 14/p. Factor 2*u**3 + u**f - 2*u**4 + u + u**2 - 3*u.
-2*u*(u - 1)**2*(u + 1)
Let y = -150/11 - -461/33. Let g(v) be the third derivative of y*v**4 + 0 + 0*v + 1/9*v**3 + 2/5*v**5 + 2*v**2. Suppose g(t) = 0. What is t?
-1/6
Suppose -48 = 3*o - 7*o. Suppose 0 = 4*a - 0 - o. Factor -a*m + 5*m - 3*m**4 - 9*m**2 + m + 9*m**3 + 0*m**3.
-3*m*(m - 1)**3
Let q(c) be the second derivative of -c**6/600 - c**5/150 - 7*c**2 + 4*c. Let j(z) be the first derivative of q(z). What is h in j(h) = 0?
-2, 0
Let w(i) be the second derivative of i**5/120 - 23*i**4/72 + 10*i**3/3 + 12*i**2 - 114*i. Solve w(j) = 0.
-1, 12
Find a, given that 4/3*a**3 - 4*a**2 - 2/3*a + 2*a**4 - 2/3*a**5 + 2 =