Let l be j(-8). Factor 17*o**2 + 3*o - 34*o**l + 18*o**2 - 11*o - o.
o*(o - 9)
Let f(r) be the first derivative of -r**8/6720 + 17*r**7/3360 - r**6/90 + 71*r**3/3 + 65. Let m(d) be the third derivative of f(d). Factor m(c).
-c**2*(c - 16)*(c - 1)/4
Let i(t) = -43*t**2 + 76*t + 2. Let c(v) = -177*v**2 + 302*v + 15. Let r(j) = j**2 - 2. Let b(a) = -c(a) - 4*r(a). Let k(l) = 2*b(l) + 9*i(l). Factor k(f).
-(f - 2)*(41*f + 2)
Let s(d) be the third derivative of d**7/490 - 23*d**6/420 + 53*d**5/140 - 15*d**4/14 + 22*d**3/21 - 3*d**2 - 3*d + 485. What is f in s(f) = 0?
1/3, 2, 11
Let l(a) = -761774*a + 4882. Let u be l(-1). Find b such that 17424*b**2 - u*b + 12649824 + 2/3*b**4 - 176*b**3 = 0.
66
Let u(a) be the first derivative of 43 + 20*a**2 - 172/3*a**3 + 0*a + 28/5*a**5 + 26*a**4. Factor u(j).
4*j*(j - 1)*(j + 5)*(7*j - 2)
Suppose -128 = -g + 4*x, 5*g - 592 = -10*x + 6*x. Let s be 14/4*g/140. Suppose -16 - 16*r - 1/2*r**4 + 5/2*r**3 + s*r**2 = 0. Calculate r.
-2, -1, 4
Let a = 826 - 1423. Let y = a + 601. Find l, given that 2/7*l**5 + 2/7*l**y + 2/7 + 2/7*l - 4/7*l**3 - 4/7*l**2 = 0.
-1, 1
Let s(l) be the second derivative of 2/15*l**6 + 8/3*l**3 - 1/5*l**5 + 0*l**2 + 0 - 4/3*l**4 + 21*l. Factor s(h).
4*h*(h - 2)*(h - 1)*(h + 2)
Let j(x) be the first derivative of -x**4/34 + 40*x**3/51 - 64*x**2/17 - 2549. Factor j(n).
-2*n*(n - 16)*(n - 4)/17
Suppose -2*f - 3*j - 677 = -686, -5*f = -2*j + 6. Factor 2/13*g**4 + f*g + 40/13*g**3 + 0 + 200/13*g**2.
2*g**2*(g + 10)**2/13
Let h(t) be the third derivative of -t**6/480 - 71*t**5/120 + 143*t**4/96 - 367*t**2. Let h(a) = 0. What is a?
-143, 0, 1
Let c(w) be the second derivative of w - 144*w**2 - 14/3*w**4 + 136/3*w**3 - 1/5*w**5 + 0. Factor c(q).
-4*(q - 2)**2*(q + 18)
Suppose 0 = -15*d - 10356 + 10461. Let m(z) be the third derivative of 0 + 0*z**3 + 0*z + 1/42*z**d + 0*z**5 - 1/60*z**6 + 0*z**4 - 28*z**2. Factor m(p).
p**3*(5*p - 2)
Let k be (1 - 10/30)*3. Let n be (224/(-40))/k + 4. Factor -6/5*x**3 + 0*x - 12/5*x**4 + n*x**2 + 0.
-6*x**2*(x + 1)*(2*x - 1)/5
Let y(f) = -11*f**2 + 1498*f + 556516. Let k(o) = -31*o**2 + 4493*o + 1669548. Let j(a) = 6*k(a) - 17*y(a). Factor j(w).
(w + 746)**2
Let g(z) = 12*z**3 - 180*z**2 - 574*z - 582. Let s(i) = -i**3 + 4*i**2 - i - 1. Let x(d) = -g(d) - 10*s(d). Let x(c) = 0. Calculate c.
-2, 74
Let p = -36 + 39. Suppose 5*k - p*h - 8 = 7, 9 = 3*k + 3*h. Find x such that k*x**5 + 58*x**4 - 43*x**4 - 14 - 24*x + 50 + 9*x**3 - 39*x**2 = 0.
-3, -2, 1
Let o = -32 - -34. Suppose 45*a + 97*a**2 - 93*a**o + 324 + 27*a = 0. Calculate a.
-9
Suppose -3 = -121*i + 117*i + f, -3*i + 9 = -3*f. Let j(n) be the first derivative of i*n + 16 + 0*n**2 + 5/3*n**3. Factor j(b).
5*b**2
Suppose -2/7*t**3 + 260/7*t**2 + 526/7*t + 264/7 = 0. What is t?
-1, 132
Solve -152*k - 24*k**2 - 166*k**2 - 50*k**4 + 137*k + 55*k**5 - 280*k**3 = 0 for k.
-1, -1/11, 0, 3
Suppose -162 - 398 = 5*m. Let z = -110 - m. Factor 24*y**2 - 30 - 14*y**z - 16*y**2 - 39*y + 3*y**3.
3*(y - 5)*(y + 1)*(y + 2)
Let c(o) = -5*o**2 + 84*o + 77. Let k(z) = 14*z**2 - 254*z - 236. Let g(n) = 8*c(n) + 3*k(n). Find u such that g(u) = 0.
-1, 46
Let i(y) be the third derivative of y**7/105 - 53*y**6/120 - 9*y**5/20 - 4*y**2 + 7. Factor i(h).
h**2*(h - 27)*(2*h + 1)
Suppose -1258*l + 1283*l = 0. Factor -1/4*v**2 + l*v + 1/4.
-(v - 1)*(v + 1)/4
Let q = 9 + -4. Suppose -3*r = 3*b - 21, 4*r - 3 = q*b - 2. What is l in 7*l**5 + 2*l**r + 55*l**2 - 45*l**3 - 4*l**5 + 2*l**5 - 20*l + 3*l**4 = 0?
-4, 0, 1
Let b(o) be the third derivative of -o**6/300 + o**5/15 - 7*o**4/15 + 8*o**3/5 + 35*o**2 + 17*o. Factor b(j).
-2*(j - 6)*(j - 2)**2/5
Let 52*p + 2880*p**3 - 2876*p**3 + 18*p**2 + 38*p**2 = 0. Calculate p.
-13, -1, 0
Find l, given that 38663*l + 21 + 1125*l**2 + 220*l**3 - 38558*l - 121 = 0.
-5, -4/11, 1/4
Let v(t) be the first derivative of 8*t**3/3 - 850*t**2 - 852*t + 2627. Find n, given that v(n) = 0.
-1/2, 213
Let d(n) be the first derivative of n**6/33 + 2*n**5/5 - 5*n**4/2 + 146*n**3/33 - 30*n**2/11 - 410. Determine q so that d(q) = 0.
-15, 0, 1, 2
Suppose p = 2*p - 4. Find w such that -5475*w**3 - 5*w**p + 30 + 35*w + 5440*w**3 + 4*w**2 - 29*w**2 = 0.
-6, -1, 1
Factor 4/3*i**2 + 0*i + 0 - 34/9*i**3 + 10/9*i**4.
2*i**2*(i - 3)*(5*i - 2)/9
Let y(g) be the second derivative of -5*g**4/16 - 6*g**3 - 24*g**2 - 24*g - 1. Let y(o) = 0. What is o?
-8, -8/5
Let j(r) be the second derivative of -1/9*r**4 + 2/63*r**7 + 63*r + 16/9*r**3 + 2/45*r**6 - 1/3*r**5 - 8/3*r**2 + 1. Let j(n) = 0. Calculate n.
-2, 1
Let r(j) be the second derivative of 13/20*j**5 + 1/2*j**6 + 0*j**2 + 71*j - 1/6*j**3 - 1/4*j**4 + 0. What is u in r(u) = 0?
-1, -1/5, 0, 1/3
Let r(a) be the first derivative of a**5/120 - a**4/6 + 7*a**3/12 + 3*a**2/2 + 5*a - 39. Let x(d) be the second derivative of r(d). Let x(b) = 0. Calculate b.
1, 7
Let z(v) be the second derivative of 2/3*v**3 + 20*v + 0*v**2 - 2 + 1/6*v**4. Determine c so that z(c) = 0.
-2, 0
Factor 113*u**2 + 65 + 120*u**2 + u**3 + 58 + 108 + 463*u.
(u + 1)**2*(u + 231)
Let c = -235681/7 + 33671. What is x in -c*x**2 + 18/7*x + 0 - 2/7*x**3 = 0?
-9, 0, 1
Let a(w) be the first derivative of 100*w**3 + 1250*w + 62 + 10*w**4 + 500*w**2 + 2/5*w**5. Factor a(d).
2*(d + 5)**4
Let y(v) = 3*v**2 + 3*v. Let r be y(-3). Let f = -10 + r. Factor -f*z**5 - 18*z**4 + 17*z**2 - 19*z**2 - 12*z**3 + 0*z**3.
-2*z**2*(z + 1)**2*(4*z + 1)
Suppose 0 = -3*h - 73*h - 7*h + 166. Let g(n) be the first derivative of -22 + 0*n**h - 8/15*n + 2/45*n**3. Factor g(p).
2*(p - 2)*(p + 2)/15
Suppose 0 = 4*q - 19 + 7. Suppose 19 = 36*w - 34*w - 5*x, 4*w + x - 5 = 0. Factor -3*l + 4*l**w - q*l + 2*l.
4*l*(l - 1)
Let a(v) be the second derivative of 2/5*v**6 + 75*v + 0*v**2 + 0*v**3 + 0 + 3/4*v**5 + 1/14*v**7 + 1/2*v**4. Determine p so that a(p) = 0.
-2, -1, 0
Let r(s) be the second derivative of -s**8/420 - s**7/210 + 5*s**3/6 - s**2 - 7*s. Let l(i) be the second derivative of r(i). Determine f so that l(f) = 0.
-1, 0
Factor 29489*s**3 - 20172 - 197*s**4 - 398262*s**2 + 263238*s**2 + 145*s**3 - 166*s**4 - 464367*s**2 - 220908*s.
-3*(s - 41)**2*(11*s + 2)**2
Let r(w) = 7*w**4 - 11*w**3 + 69*w**2 + 75*w + 6. Let j(a) = -6*a**4 + 12*a**3 - 68*a**2 - 76*a - 5. Let v = 255 - 260. Let x(q) = v*r(q) - 6*j(q). Factor x(k).
k*(k - 9)**2*(k + 1)
Let y(t) be the second derivative of -t**6/105 - 13*t**5/70 + 20*t**4/21 + 100*t**3/3 + 2189*t. Factor y(k).
-2*k*(k - 7)*(k + 10)**2/7
Let n be 876/15 + (-6)/(-10). Factor 14*z**5 - 36 - 66*z**3 + 5*z + n*z**2 + 9*z + 438*z**3 + 213*z**2 + 164*z**4.
2*(z + 1)**3*(z + 9)*(7*z - 2)
Suppose -51*d = -55*d + 8. Factor 12 - 7*g**3 - 70*g + 4*g**3 + 13*g**d + 2*g**2 + 46*g.
-3*(g - 2)**2*(g - 1)
Let x be (5 - (-284)/(-24)) + (10 - (9 - 6)). Factor -5/3 + 13/6*k - x*k**3 - 1/3*k**2.
-(k - 2)*(k - 1)*(k + 5)/6
Let i = -533171/5 - -106635. Solve 0*o + 4*o**3 + 4/5*o**2 + 0 + i*o**5 + 17/5*o**4 = 0.
-2, -1/4, 0
Let 3*z**3 + 5 + 80 + 19 + 117*z - 69*z**2 + 27 + 58 = 0. What is z?
-1, 3, 21
Suppose m - 3*x = 3, 0 = -3*m + 3*x - 4*x + 9. Suppose 0 = m*b - 2*b - 2. Factor c**2 - 6*c - 8 - 6*c - 5*c**b.
-4*(c + 1)*(c + 2)
Let r(l) be the second derivative of -41/30*l**3 - 3 + 13/60*l**4 - 4*l + 3/5*l**2. Determine z so that r(z) = 0.
2/13, 3
Let 8 + 18*z**2 - 74/3*z - 4/3*z**3 = 0. What is z?
1/2, 1, 12
Let j(f) be the first derivative of f**4/32 + 905*f**3/24 + 25651*f**2/2 + 25538*f - 2198. Factor j(a).
(a + 1)*(a + 452)**2/8
Let z(g) = 8*g**3 - 1313*g**2 - 1279*g. Let l(r) = -10*r**3 + 1751*r**2 + 1707*r. Let o(h) = -7*l(h) - 9*z(h). Determine y, given that o(y) = 0.
-219, -1, 0
Determine t so that -741762 - 1218*t - 1/2*t**2 = 0.
-1218
Let g(t) be the first derivative of -t**3/18 - 16*t**2/3 - 494*t/3 + 9778. Determine k so that g(k) = 0.
-38, -26
Factor 90577 + 15599*b + 2254*b**2 + 104*b**3 + b**4 - 20*b**3 + 4981*b - 30552.
(b + 7)**2*(b + 35)**2
Let i(g) = 20*g**2 + 9*g - 11. Let k = 94 + -90. Let n(s) = 7*s**2 + 3*s - 4. Let a(u) = k*i(u) - 11*n(u). Factor a(z).
3*z*(z + 1)
Let n(o) be the third derivative of -o**8/840 - 11*o**7/525 - 19*o**6/300 + 43*o**5/150 + o**4/3 - 32*o**3/15 - 337*o**2 + 5. Suppose n(u) = 0. Calculate u.
-8, -4, -1, 1
Let k(q) be the second derivative of -q**7/21 - 13*q**6/15 - 22*q**5/5 - 16