hat is n?
-1, 0, 3
Let w(a) be the first derivative of -1/5*a**4 - 4606/5*a**2 - 388/15*a**3 + 113 + 9604/5*a. Suppose w(x) = 0. What is x?
-49, 1
Let k = -52811/3 - -264058/15. Factor k*c**5 - 4/5*c**4 + 4/5*c**2 + 0 + 3/5*c**3 - 4/5*c.
c*(c - 2)**2*(c - 1)*(c + 1)/5
Let d(l) be the first derivative of -4*l**3/3 - 22*l**2 + 840*l + 266. What is z in d(z) = 0?
-21, 10
Let x(s) be the third derivative of -s**5/150 + 47*s**4/60 + 98*s**3/15 + 20*s**2 + 56. Factor x(y).
-2*(y - 49)*(y + 2)/5
Let p(k) = 4*k**4 + 48*k**3 + 13*k**2 - 768*k + 1024. Let i(t) = -t**2. Suppose 3*x + 8*x = 11. Let h(c) = x*p(c) - 3*i(c). Suppose h(a) = 0. What is a?
-8, 2
Let n be 8/(-24)*0/(-836). Factor 10/3*i**4 + 0 + 2/3*i**5 + n*i + 8/3*i**2 + 16/3*i**3.
2*i**2*(i + 1)*(i + 2)**2/3
Suppose -4*g + 3*j = -141, -5*j + 181 = g + 3*g. Suppose -9*n + g - 12 = 0. Find l, given that -2/7*l**5 - 8/7*l**4 + 0*l - 10/7*l**n - 4/7*l**2 + 0 = 0.
-2, -1, 0
Let 15*x**3 + 271*x**4 - 544*x**4 + 278*x**4 - 63*x**2 - 77*x**2 = 0. Calculate x.
-7, 0, 4
Let t(s) be the third derivative of s**5/150 - 437*s**4/30 + 190969*s**3/15 - 6053*s**2. Factor t(d).
2*(d - 437)**2/5
Let c(w) = -2*w**2 + 8*w - 9. Let j(s) = s. Let t(g) = -c(g) - 3*j(g). Let i be t(8). Solve -i*n**2 + 49*n**2 - 5*n**3 = 0.
0
Let f(w) = 15*w**2 - 57*w - 6. Let c be f(4). Let v be c/4 + (-222)/296. Factor -3/8*r**2 - 3/8 + v*r.
-3*(r - 1)**2/8
Let d be (-2)/27 - (-5800)/(-85725). Let c = 2321/1143 + d. Factor 0 - 16/9*a**2 + c*a**3 + 4/9*a - 5/9*a**4.
-a*(a - 2)*(a - 1)*(5*a - 2)/9
Suppose 1/2*m**2 - 75 + 47/2*m = 0. Calculate m.
-50, 3
Let p(n) be the first derivative of -1/4*n**4 - 5/3*n**3 + 12 + 8*n - n**2. Factor p(m).
-(m - 1)*(m + 2)*(m + 4)
Let h(q) = -7*q**2 + 89*q - 177. Let p be h(2). Let x be 1*p*(-8)/48*8. Factor 42*s**4 - x*s**3 + 0*s + 54/7*s**2 + 0.
6*s**2*(7*s - 3)**2/7
What is w in 3/4*w**4 - 177/4*w**2 + 6*w**3 - 207/2*w - 54 = 0?
-12, -1, 6
Suppose 1547344/7*k**2 - 5008*k**3 + 28*k**4 + 518400/7 + 1802880/7*k = 0. Calculate k.
-4/7, 90
Let i(o) = -27*o**2 + 2510*o + 5040. Let b(h) = -10*h**2 + 836*h + 1680. Let c(v) = -11*b(v) + 4*i(v). Factor c(y).
2*(y + 2)*(y + 420)
Let f be 11 - (9/((-18)/(-8)) + -1). Solve f*u - u + u**2 - 5*u - 5 + 2*u = 0 for u.
-5, 1
Suppose 3*t = 2*n + 15, 4*t + 2*n - 41 = -35. Let 0*v**2 - 9/2 - 21/4*v + 3/4*v**t = 0. Calculate v.
-2, -1, 3
Let s(l) be the third derivative of -l**7/315 - l**6/45 + 7*l**5/90 + 11*l**4/18 - 8*l**3/3 + 2*l**2 - 61. Find p, given that s(p) = 0.
-4, -3, 1, 2
Let n(m) = -5*m**2 - 55*m + 3. Let c be n(-11). Determine q, given that -28*q**2 - 9*q + 22*q**4 + 4*q**5 + 6*q**4 + 41*q - 36*q**c = 0.
-8, -1, 0, 1
Let y be 18/6*(1 - (-20)/(-15)). Let v be -9*3/(-9) + y. Determine b, given that v*b + 2/5*b**3 + 8/5*b**2 + 4/5 = 0.
-2, -1
Let r(j) be the second derivative of 8*j + 1/6*j**4 + 7*j**3 - j**2 - 21/10*j**5 - 1. Find g such that r(g) = 0.
-1, 1/21, 1
Let b(x) = x**2 - 9*x + 19. Let p be b(11). Factor -2*h**2 - p - 20*h - 9 + 18.
-2*(h + 2)*(h + 8)
Let q = 148553 + -1336975/9. What is x in -4/9*x + 2/9*x**3 + q*x**2 + 0 = 0?
-2, 0, 1
Let c(l) be the first derivative of 2*l**3/3 + 3893*l**2/4 + 973*l/2 - 13706. Factor c(h).
(h + 973)*(4*h + 1)/2
Let z(l) be the second derivative of l**7/2520 + l**6/45 - 17*l**5/120 - 7*l**4/12 - l**3/3 - 2*l - 18. Let b(p) be the third derivative of z(p). Factor b(m).
(m - 1)*(m + 17)
Let k(n) be the first derivative of n**4/16 - 41*n**3/6 + 1961*n**2/8 - 2738*n + 1791. Factor k(w).
(w - 37)**2*(w - 8)/4
Suppose 0 = 5*x + 5*a - 235, -5*a = 2*x + x - 151. Suppose -x = 2*g - 3*g. Factor 98 + g*y + 2/7*y**3 + 6*y**2.
2*(y + 7)**3/7
Let y(q) = q**2 + 3*q + 5. Let m be y(-2). Suppose -3 - m = -2*w. Solve 0*s**3 - 45*s + 0*s**w - 15*s**2 - 25 + 4*s**3 + s**3 = 0 for s.
-1, 5
Let k(f) be the third derivative of -f**7/105 + f**6/30 + 11*f**5/30 - f**4 - 5243*f**2. Find p such that k(p) = 0.
-3, 0, 1, 4
Let f be (464/32)/((-1)/2). Let h = -173/6 - f. Factor 1/3*v**3 + 0 + h*v**4 + 1/6*v**2 + 0*v.
v**2*(v + 1)**2/6
Let d(f) be the second derivative of -f**5/40 + 239*f**4/16 + 15*f**3 - 359*f**2/8 - 1445*f. Factor d(s).
-(s - 359)*(s + 1)*(2*s - 1)/4
Let u(f) be the second derivative of -1/15*f**5 - 17*f - 6*f**2 + 0*f**3 + 0*f**4 + 0. Let j(q) be the first derivative of u(q). What is a in j(a) = 0?
0
Suppose 5124 = -4*x + 5132. Let k(h) be the first derivative of -1/7*h**x + 2/21*h**3 + 1/14*h**4 + 6 - 2/35*h**5 + 0*h. Find j such that k(j) = 0.
-1, 0, 1
Let m(g) = 27*g**2 - 162*g - 288. Let x(n) = -n**3 + 53*n**2 - 325*n - 576. Let b(h) = 13*m(h) - 6*x(h). Find s, given that b(s) = 0.
-8, -3/2, 4
Let v(y) be the first derivative of y**4/2 + 152*y**3/3 + 1517*y**2 + 5476*y - 564. Find f, given that v(f) = 0.
-37, -2
Let u be 6/(-12)*-18*(1 - 0). Let j = u + -5. Factor 5*q**j - 10*q**3 + 143*q**2 + 141*q**2 - 279*q**2.
5*q**2*(q - 1)**2
Let n(z) = -3*z**2 + 14*z - 1. Let x(y) = -y**2 + 1. Let k(u) = n(u) + 6*x(u). Let m(p) = -10*p**2 + 12*p + 6. Let j(o) = 6*k(o) - 5*m(o). Factor j(a).
-4*a*(a - 6)
Suppose 5*p + 478 = 2*q, 0 = -3*p - 6 - 0. Let j = -232 + q. Factor 0 + 2/5*u**5 - 2/5*u**4 - 6/5*u**3 + 2*u**j - 4/5*u.
2*u*(u - 1)**3*(u + 2)/5
Let f(p) be the first derivative of -21 + 10/3*p + 2/27*p**3 + 16/9*p**2. Solve f(v) = 0 for v.
-15, -1
Let z(o) be the third derivative of o**8/3024 + o**7/105 + 13*o**6/135 + 89*o**5/270 - 35*o**4/72 - 98*o**3/27 - 107*o**2 + 10*o - 2. Solve z(i) = 0.
-7, -4, -1, 1
Let u(r) be the third derivative of r**8/336 + r**7/42 + 7*r**6/120 - r**5/60 - r**4/3 - 2*r**3/3 - 845*r**2. Determine q, given that u(q) = 0.
-2, -1, 1
Let w(p) be the first derivative of -p**6/900 + p**5/25 - 11*p**4/60 + 33*p**3 - p - 213. Let k(t) be the third derivative of w(t). Factor k(i).
-2*(i - 11)*(i - 1)/5
Let b(n) be the second derivative of 1/102*n**4 + 14*n + 0 + 8/51*n**3 + 15/17*n**2. Solve b(o) = 0 for o.
-5, -3
Let p = -112 + 114. Suppose -40 + 6*l**2 + 45*l + 0*l**2 - 17*l**2 + 6*l**p = 0. What is l?
1, 8
Let y(m) be the second derivative of m**6/90 + 11*m**5/15 + 41*m**4/12 - 739*m. Factor y(u).
u**2*(u + 3)*(u + 41)/3
Let s(g) = -g**2 + g - 1. Let l(x) = 5*x + 6*x + 6*x**2 + 7*x - 1 - 22*x. Let a(w) = -4*l(w) - 20*s(w). What is o in a(o) = 0?
-3, 2
Suppose -1573*s = -1570*s + 60. Let z be (576/s)/(-8) + -3. Find n, given that 2/5*n + z*n**2 + 1/5*n**3 + 0 = 0.
-2, -1, 0
Let g(t) = -7*t**3 - 3213*t**2 - 858668*t + 861884. Let b(p) = p**3 - p + 1. Let r(f) = 4*b(f) + g(f). Determine x, given that r(x) = 0.
-536, 1
Suppose -1/3*g**4 + 156*g**3 - 467/3*g**2 + 0*g + 0 = 0. Calculate g.
0, 1, 467
Let h(y) = -8*y**4 + y**3 - 8*y**2. Suppose -3*g - 58 = -43. Let q = -34 + 58. Let d(r) = -39*r**4 + 6*r**3 - 39*r**2. Let x(o) = g*d(o) + q*h(o). Factor x(n).
3*n**2*(n - 1)**2
Let q = 832 + -851. Let b = q + 22. Factor 1/7*d**b - 2/7*d**4 + 0*d**2 + 0*d + 0.
-d**3*(2*d - 1)/7
Determine s, given that 10*s**3 - 395*s**2 + 15*s**3 - 119*s + 19*s - 445 + 765 = 0.
-1, 4/5, 16
Solve -68/7*n**4 - 72/7*n**5 + 508/7*n**3 - 436/7*n + 44/7*n**2 + 24/7 = 0 for n.
-3, -1, 1/18, 1, 2
Let q(x) = 47*x + 2. Let c be q(0). Let p(s) be the first derivative of 0*s - 4/9*s**c + 2/27*s**3 - 5. Factor p(l).
2*l*(l - 4)/9
Let q(n) = -11*n**2 - 65*n - 66. Let d(j) = 100*j**2 + 585*j + 595. Let f(v) = v**2 - 24*v + 6. Let l be f(24). Let h(r) = l*d(r) + 55*q(r). Factor h(t).
-5*(t + 1)*(t + 12)
Let n be (-3 - 1)*(-1 + (-11)/(-22)). Factor -55 - 2*k**2 - 32*k + 21 + 14*k**n - 30.
4*(k - 4)*(3*k + 4)
Solve 156980199*p**3 - 3*p**5 - 156980293*p**3 + p**5 + 96*p**4 = 0.
0, 1, 47
Let w(o) be the second derivative of -5*o**7/168 - o**6/3 - 15*o**5/16 - 834*o. Factor w(a).
-5*a**3*(a + 3)*(a + 5)/4
Let m = -10/38417 - -76884/192085. Suppose m + b + 1/5*b**3 + 4/5*b**2 = 0. What is b?
-2, -1
Find g such that -237 - 3/4*g**2 + 951/4*g = 0.
1, 316
Let i(b) be the first derivative of 1/70*b**5 + 11 + 0*b - 1/14*b**4 - 4*b**2 + 0*b**3. Let k(r) be the second derivative of i(r). Factor k(t).
6*t*(t - 2)/7
Suppose n - 7 = -1. Let i be -14*(-48)/(-672) - (-3 + 87/(-6)). Factor -i*u + 15/4*u**2 + n.
3*(u - 4)*(5*u - 2)/4
Let r(g) be the third derivative of 0*g + 0*g**3 - 3 + 0*g**4 - 1/840*g**6 + 11*g**2 - 1/420*g**5. Suppose r(l) = 0. What is l?
-1,