4 - 59*n**4 - 8436*n**2 + 109744 - 61655*n - 39425*n - 226*n**3 = 0. What is n?
-38, 1
Let j(l) = -3*l - 2. Let y be j(-3). Factor 2*c - 6*c + c**2 + c**3 - 5*c + y*c.
c*(c - 1)*(c + 2)
Let r(q) be the third derivative of 1/75*q**5 + 6*q**2 + 0 - 1/600*q**6 + 0*q + 0*q**3 - 1/30*q**4. Factor r(o).
-o*(o - 2)**2/5
Let h be (25/(-10))/((-2)/4). Let j(t) be the second derivative of -1/12*t**4 - 5*t + 0 + 0*t**3 + 0*t**2 + 1/40*t**h. Determine i so that j(i) = 0.
0, 2
Let z(h) be the first derivative of 0*h**4 + 0*h**3 + 0*h - 1/15*h**5 - 1/18*h**6 - 1 + 0*h**2. Solve z(u) = 0.
-1, 0
Let k(l) be the first derivative of -2*l**3/15 - 84*l**2/5 - 15. Let k(o) = 0. Calculate o.
-84, 0
Suppose 4*z - 2*y - 30 = -8, 2*y + 13 = z. Factor 5*r**4 - z*r - 10*r**3 - 5 + 13*r + 0*r**3.
5*(r - 1)**3*(r + 1)
Let f(a) be the first derivative of -3*a**5/20 + a**4 + a**3/2 - 6*a**2 + 6*a + 5. Let n(m) be the first derivative of f(m). Solve n(c) = 0.
-1, 1, 4
Let q = -658 - -21716/33. Let h(n) be the first derivative of 3 - q*n**3 + 1/11*n**2 + 2/11*n - 1/22*n**4. Let h(d) = 0. Calculate d.
-1, 1
Let a(w) be the third derivative of w**8/1512 - 2*w**7/315 + w**6/90 + 2*w**5/27 - 13*w**4/36 + 2*w**3/3 - 80*w**2. Suppose a(l) = 0. Calculate l.
-2, 1, 3
Let g(m) = -m**3 - 18*m**2 + 152*m + 2243. Let v be g(-20). Solve -16/7*b**4 + 0 - 48/7*b**v - 2/7*b**5 - 64/7*b**2 - 32/7*b = 0 for b.
-2, 0
Let p(l) = l**3 - l. Let f(w) = w + 14. Let d be f(-11). Let y(k) = -9*k**3 + 15*k**3 - d*k**2 + 12 + 7*k**2 + 10*k. Let b(t) = 10*p(t) - y(t). Factor b(j).
4*(j - 3)*(j + 1)**2
Let g be 5*((-16)/10 + 2). What is i in 10*i**g - 8*i**2 + 2 + 2*i - 3*i - 3*i = 0?
1
Let j = 15681/10 + -1568. Let t(k) be the third derivative of 0*k**3 + 6*k**2 - 121/140*k**7 + 0 - j*k**5 + 0*k**4 + 0*k + 11/20*k**6. Let t(m) = 0. What is m?
0, 2/11
Let m be 1*(-4 + 4) - -2. Let c(d) = 6*d**2 + 14*d + 2. Let n(q) = -q**2 - q - 1. Let h(z) = m*n(z) + c(z). Factor h(v).
4*v*(v + 3)
Suppose -18 = -x - 2*x. Let h be (-165)/(-44) + x/(-8). Factor -14*i**2 + i**h + i**3 + 32 + 22*i - 6*i.
2*(i - 4)**2*(i + 1)
Let f = -14 - -16. Let 0 + 7*a**2 + 0 - 9*a**2 + f*a**3 = 0. What is a?
0, 1
Let j(d) be the first derivative of d**5/140 - d**3/14 - d**2/2 - 11. Let n(h) be the second derivative of j(h). Factor n(y).
3*(y - 1)*(y + 1)/7
Let b(a) be the third derivative of -33*a**2 + 0*a + 0 + 1/1200*a**6 + 11/240*a**4 - 1/12*a**3 - 7/600*a**5. Determine q so that b(q) = 0.
1, 5
Let h = 1715 - 1713. Let u be ((-32)/(-50))/((-6)/(-15)). Factor -2/5 - u*j - 4/5*j**3 - 2*j**h.
-2*(j + 1)**2*(2*j + 1)/5
Let g(h) be the first derivative of -7*h**6/36 + h**5/15 + 270. Let g(b) = 0. Calculate b.
0, 2/7
Let y(j) be the second derivative of -j**5/30 - j**4/9 + j**3/3 - 3*j + 38. Factor y(i).
-2*i*(i - 1)*(i + 3)/3
Let i(g) be the second derivative of -g**6/40 - 21*g**5/40 + g**4/16 + 7*g**3/4 - 28*g + 11. Suppose i(n) = 0. Calculate n.
-14, -1, 0, 1
Let f(i) be the second derivative of i**4/6 - 136*i**3/9 - 92*i**2/3 + 292*i. Find d such that f(d) = 0.
-2/3, 46
Let t(b) = 20*b**2 + 137*b + 430. Let h(l) = -7*l**2 - 46*l - 143. Suppose -s - 7 + 1 = -2*w, s + 4*w = 0. Let a(q) = s*t(q) - 11*h(q). Let a(j) = 0. What is j?
-7
Let g(v) = 6*v**3 - 3*v**2 - 5*v + 4. Let o(f) = -f**3 + f. Let q be (-6 - -3)*(48/(-9))/4. Let l(c) = q*g(c) + 20*o(c). Let l(y) = 0. Calculate y.
-1, 2
Solve -z**5 + 0 + 4*z**3 + 1/3*z**4 - 4/3*z**2 + 0*z = 0 for z.
-2, 0, 1/3, 2
Let s(n) be the second derivative of -n**4/48 - n**3/6 + 5*n**2/8 + 15*n + 1. Find w such that s(w) = 0.
-5, 1
Suppose -214*z + 217*z = 24. Let r(g) be the second derivative of 1/12*g**4 - 3/20*g**5 + 0 - g**2 + 1/30*g**6 + z*g + 1/2*g**3. Factor r(m).
(m - 2)*(m - 1)**2*(m + 1)
Factor 0 + 0*t**2 + 10*t - 2/5*t**3.
-2*t*(t - 5)*(t + 5)/5
Let f(l) be the second derivative of 0*l**2 - 21/5*l**5 - 43*l + 2/15*l**6 - 686/3*l**3 + 0 + 49*l**4. Solve f(c) = 0 for c.
0, 7
Let h(n) be the first derivative of -2*n**6/9 + 8*n**5/15 + 3*n**4 - 56*n**3/9 - 40*n**2/3 + 32*n + 177. Solve h(b) = 0 for b.
-2, 1, 2, 3
Let g(c) = -c**2 + c + 1. Let o = -19 + 31. Let j(u) = 8*u**2 - 20*u - 12. Let z(p) = o*g(p) + j(p). Factor z(i).
-4*i*(i + 2)
What is p in 58 - 1/4*p**2 + 231/4*p = 0?
-1, 232
Suppose 44*m**3 + 14*m**5 - 13*m - 18*m**5 + 12*m**4 - 7*m - 12*m**2 - 20*m = 0. Calculate m.
-2, -1, 0, 1, 5
Let d be (-30)/60*(-6 + 0). Factor 4/7*k**2 - k**4 + 0*k - 4/7*k**d + 0 - 2/7*k**5.
-k**2*(k + 2)**2*(2*k - 1)/7
What is b in -50*b**3 + 5*b**5 - 254*b**3 - 11*b**3 - 53*b**4 - 63*b**2 - 97*b**2 - 97*b**4 = 0?
-1, 0, 32
Let c(j) = 4*j + j - 5*j + 1 - 2*j**2. Let p be c(-1). Let x(s) = -4*s**2 - 24*s - 20. Let q(r) = r + 1. Let m(g) = p*x(g) - 16*q(g). Find b such that m(b) = 0.
-1
Factor -1/8*j**4 - 588*j**2 - 14*j**3 - 76832 - 10976*j.
-(j + 28)**4/8
Let z(a) be the third derivative of a**8/33600 - a**7/2800 + a**5/30 + a**2. Let f(u) be the third derivative of z(u). Factor f(n).
3*n*(n - 3)/5
Let s(j) = -8*j**4 + 5*j**3 + 10*j**2. Let a be 6/((-80)/32*4/5). Let k(v) = 23*v**4 - 15*v**3 - 30*v**2. Let w(b) = a*k(b) - 8*s(b). Factor w(z).
-5*z**2*(z - 2)*(z + 1)
Let a(d) be the third derivative of -d**8/1344 + d**7/126 - 5*d**6/144 + d**5/12 - 5*d**4/12 + 6*d**2. Let j(z) be the second derivative of a(z). Factor j(y).
-5*(y - 2)*(y - 1)**2
Let f = -99 - -102. Factor -m**f - 5*m**2 + 23*m + 13 + 7 + 6*m**3 - 43*m.
5*(m - 2)*(m - 1)*(m + 2)
Suppose -3*u = -o - 6, 2*u + o = -o + 12. Find i, given that 0*i**4 - 34*i**3 + 21*i + 12*i**4 + 3 + 73*i**u + 45*i**2 = 0.
-1, -1/4
Let r(j) = -5*j**5 - 14*j**4 + 16*j**3 + 36*j**2 + 8*j + 4. Let u(v) = 5*v**5 + 13*v**4 - 17*v**3 - 37*v**2 - 6*v - 3. Let d(q) = 3*r(q) + 4*u(q). Factor d(x).
5*x**2*(x - 2)*(x + 2)**2
Let b(t) be the first derivative of t**7/210 - t**6/18 - t**5/5 + 10*t**3/3 + 3*t - 29. Let r(k) be the third derivative of b(k). Factor r(z).
4*z*(z - 6)*(z + 1)
Let s(o) = -7*o - 5. Let t be s(-2). Suppose 48*i + t + 50*i**3 + 90*i**2 + 15 + 9 - 25 = 0. What is i?
-1, -2/5
Let g(j) = -3*j**2 + 195*j - 54. Let c(y) = 13*y**2 - 977*y + 270. Let m(q) = -2*c(q) - 11*g(q). Suppose m(t) = 0. What is t?
2/7, 27
Let f(l) = l + 8. Let b be f(-6). Let c be (-182)/(-35) + b/(-10). Factor c*p**2 - 2*p**2 - 4*p**2 - 2*p**2.
-3*p**2
Suppose -z + 2 = 0, -2*x + 201 = -3*z + 207. Factor -8/11 + 2/11*c**3 + x*c + 6/11*c**2.
2*(c - 1)*(c + 2)**2/11
Let k(w) be the second derivative of -1/42*w**4 + 0 - 18*w + 1/105*w**6 + 0*w**5 + 1/42*w**3 - 1/294*w**7 + 0*w**2. Solve k(y) = 0 for y.
-1, 0, 1
Let t(u) be the second derivative of 0 - 1/45*u**5 + 1/135*u**6 + 0*u**2 + 0*u**3 - 11*u + 1/54*u**4. Let t(q) = 0. Calculate q.
0, 1
Let y be 0 + 0 + (-39)/442*-17. Factor 9*o**2 - y*o**3 - 18*o + 12.
-3*(o - 2)**3/2
Let i(f) be the third derivative of f**7/70 + 93*f**6/40 + 696*f**5/5 + 2944*f**4 - 49152*f**3 + 126*f**2. Suppose i(n) = 0. Calculate n.
-32, 3
Let n(p) be the third derivative of -p**6/90 - p**5/45 + 37*p**2. Factor n(z).
-4*z**2*(z + 1)/3
Let g(k) be the second derivative of k**5/4 - 35*k**4/12 + 35*k**3/3 - 20*k**2 - k - 61. Factor g(u).
5*(u - 4)*(u - 2)*(u - 1)
Let l(h) = -4*h + 28. Let g be l(6). Factor -2*x**2 + 2*x + 3*x - 3*x + g.
-2*(x - 2)*(x + 1)
Let s(y) = 8*y**3 + 3*y - 4. Let l be s(1). Let b be l/(-3)*1/(-3). Factor -r**2 - 2/9*r**4 - 1/9 + 5/9*r + b*r**3.
-(r - 1)**3*(2*r - 1)/9
Let k(x) be the second derivative of -x**6/50 + 11*x**5/100 - x**4/4 + 3*x**3/10 - x**2/5 - x + 12. Factor k(j).
-(j - 1)**3*(3*j - 2)/5
Let p be (-36)/(-45) - (-2973)/(-5610). Let m = -3/34 + p. Find q such that -2/11*q**2 + m*q + 0 = 0.
0, 1
Let j(g) be the third derivative of -5*g**2 + 0*g + 0*g**4 + 0*g**5 + 0*g**3 - 2/105*g**7 - 1/84*g**8 + 0 + 0*g**6. Find n, given that j(n) = 0.
-1, 0
Let r(n) be the third derivative of n**5/480 + 7*n**4/24 + 49*n**3/3 + 7*n**2 + 4. What is p in r(p) = 0?
-28
Let g be 0/((1 - 0) + -2). Let f = g + 0. Let 2*t**3 + 2 - 4 - 4 - 10*t**2 + 14*t + f*t = 0. Calculate t.
1, 3
Let v(r) = -8*r**3 - 34*r**2 + 106*r. Let a(u) = -19*u**3 - 70*u**2 + 211*u. Let x(j) = 2*a(j) - 5*v(j). Determine q so that x(q) = 0.
-18, 0, 3
Let c = 0 - -1. Suppose c + 1 = -u - 4*x, 3*x + 6 = 0. Factor 45*a - 3*a - u*a + 15*a**2 + 12.
3*(a + 2)*(5*a + 2)
Let o(m) be