3 + 941*b**h - 940*b**2 + 3*b**3 = 0. Calculate b.
0, 1/4
Let j(u) = u**4 - 1. Let b(d) = 5*d**4 + 22*d**3 - 60*d**2 + 58*d - 25. Let v(g) = b(g) - 6*j(g). Suppose v(w) = 0. What is w?
1, 19
Let z(f) be the first derivative of -f**4/6 + 2*f**3 + 7*f**2 + 22*f/3 + 452. Factor z(v).
-2*(v - 11)*(v + 1)**2/3
Let o(t) be the first derivative of -5/3*t**3 - 259 + 20*t**2 - 80*t. Factor o(y).
-5*(y - 4)**2
Factor -23/2*t + 21/4*t**2 + 1/4*t**3 + 0.
t*(t - 2)*(t + 23)/4
Suppose 103/5*m - 672/5 - 1/5*m**2 = 0. What is m?
7, 96
Let t(f) be the first derivative of -f**6/4 + 147*f**5/5 + 75*f**4 + f**3 - 597*f**2/4 - 150*f - 936. Find w such that t(w) = 0.
-1, 1, 100
Factor -12 + h**2 + 10*h + 34 + 18*h - 51*h.
(h - 22)*(h - 1)
Let s = 9285 + -9277. Let f(y) be the third derivative of -3/5*y**3 + 7/40*y**4 + 0*y - 1/200*y**6 + 0 - s*y**2 + 0*y**5. Factor f(v).
-3*(v - 2)*(v - 1)*(v + 3)/5
Let p(n) be the second derivative of n**5/5 - 6*n**4 + 58*n**3/3 + 96*n**2 + 2*n - 893. Find g, given that p(g) = 0.
-1, 3, 16
Let y(u) be the third derivative of -u**7/42 + 5*u**6/3 - 19*u**5/2 + 70*u**4/3 - 185*u**3/6 - 5642*u**2. What is i in y(i) = 0?
1, 37
Let b(l) = l**3 + 21*l**2 + 27*l + 150. Let c(n) = -n**3 + n**2 + 23*n + 13. Let o be c(-3). Let a be b(o). Let 0 + 0*q - 4/3*q**2 - a*q**3 = 0. Calculate q.
-2/15, 0
Let h(f) be the third derivative of -f**8/1008 - 6*f**7/35 - 215*f**6/24 - 8419*f**5/90 - 2669*f**4/6 - 1156*f**3 + 3*f**2 + 95*f + 1. Factor h(s).
-(s + 2)**3*(s + 51)**2/3
Factor -1/6*k**2 + 17/6*k + 154/3.
-(k - 28)*(k + 11)/6
Factor -14*g + 0 + 2/3*g**2.
2*g*(g - 21)/3
Let l(k) = -140*k**2 - 510*k - 625. Let a(g) = -23*g**2 - 85*g - 104. Suppose 275 = 6*m + 5*m. Let o(y) = m*a(y) - 4*l(y). Determine b so that o(b) = 0.
-4, -5/3
Let s be (39 + 3)/(-7) - 228696/(-364). Factor -s - 1/7*o**2 + 132/7*o.
-(o - 66)**2/7
Let f(c) = -16*c**2 + 6176*c + 8. Let k(q) = 19*q**2 - 6182*q - 10. Let y(m) = 5*f(m) + 4*k(m). Factor y(z).
-4*z*(z - 1538)
Let u(f) = 7*f**3 - 23*f**2 + 29*f - 13. Let t(x) = -87*x**2 + 98*x**2 - 13*x**3 - 59*x + 34*x**2 + 27. Let a(y) = -3*t(y) - 5*u(y). Find n such that a(n) = 0.
1, 2
Solve 2/7*m**5 + 80/7*m**4 - 244/7*m**2 - 88/7*m**3 + 164/7 + 86/7*m = 0 for m.
-41, -1, 1, 2
Suppose -48*k + 29*k - 64*k + 415 = 0. What is x in -1/3*x**k - 52/3*x**3 - 64/3*x + 0 - 32*x**2 - 4*x**4 = 0?
-4, -2, 0
Let c(a) be the first derivative of a**4/3 + 8*a**3 + 70*a**2 - 186*a - 34. Let f(u) be the first derivative of c(u). Factor f(k).
4*(k + 5)*(k + 7)
Let t be 39/156 - ((-1363)/4 + -2). Suppose -332*g - 33 = -t*g. Let -6/5*v**g + 2/5*v**2 + 6/5*v - 2/5 = 0. What is v?
-1, 1/3, 1
Let g(z) = -3*z**5 - 3*z**4 - 4*z**3. Let h = 526 + -524. Let u(m) = 3*m**5 + 3*m**3. Let d(r) = h*u(r) + 3*g(r). Find n such that d(n) = 0.
-2, -1, 0
Let v(h) = h + 20. Let b be v(-5). Suppose b = p + 12. Determine l so that -195*l**4 - 28*l**p + 100*l**4 + 107*l**4 + 16*l = 0.
-2/3, 0, 1, 2
What is t in 2/5*t**3 + 34/5*t + 4*t**2 + 16/5 = 0?
-8, -1
Factor 2792/5 - 4/5*m**2 - 2788/5*m.
-4*(m - 1)*(m + 698)/5
Let p(j) = 47*j - 183. Let i be p(4). Suppose g + 4 = v, 7*v = -i*g + 5*v + 8. Factor g - 2/3*m**3 - 2/3*m**2 + 0*m + 2/3*m**5 + 2/3*m**4.
2*m**2*(m - 1)*(m + 1)**2/3
Let k(f) be the second derivative of -f**9/45360 + f**8/6720 - f**6/540 + 7*f**4/12 - f**3 + f - 5. Let d(q) be the third derivative of k(q). Factor d(y).
-y*(y - 2)**2*(y + 1)/3
Determine r so that -6/5*r**5 + 12/5*r**2 + 4/15 - 8/15*r**3 - 8/3*r**4 + 26/15*r = 0.
-1, -2/9, 1
Factor 42 - 23/2*y**2 + 2*y.
-(y - 2)*(23*y + 42)/2
Let f(v) = v**3. Let n(x) = -x**2 + 9*x - 2. Let b be n(0). Let t(q) = 10*q**3 - 30*q**2 + 8*q. Let r(g) = b*t(g) + 36*f(g). Determine c so that r(c) = 0.
-4, 0, 1/4
Let h(x) = -x**3 + 5*x**2 + x - 16. Let i be h(4). Suppose 0 = -4*b + 4*v + 8, -2*b + 7 + 3 = i*v. Factor -27*n**3 + 14*n**b - 4 + 3*n**2 + 14*n**3.
(n - 1)*(n + 2)**2
Let n(c) = -45*c**2 + 3595*c - 3175. Let z(s) = -2*s**2 + 16*s + 1. Let f(o) = n(o) - 25*z(o). Suppose f(t) = 0. Calculate t.
-640, 1
Let u(s) = 99*s**2 + 19*s - 18. Let d be u(1). Suppose -30*x + 10*x = -d. Determine a so that -2/5*a**3 - 1/5 - 1/5*a**4 + 1/5*a + 2/5*a**2 + 1/5*a**x = 0.
-1, 1
Let i(x) = -2*x - 10. Let q(h) = h + 5. Let z(d) = -2*i(d) - 5*q(d). Let t be z(-8). Factor -3*b - b + 20*b**t + 26*b**2 - 10*b**2.
4*b*(b + 1)*(5*b - 1)
Let i(b) = 2*b**2 + b - 1. Suppose 8*n + 5*g = 13*n, 3*n = 2*g + 1. Let s(z) = -4*z**3 + 30*z**2 - 7*z - 41. Let w(l) = n*s(l) - 5*i(l). Solve w(x) = 0 for x.
-1, 3
Let x(b) be the first derivative of -4*b**3/3 - 118*b**2 - 1272*b + 1420. Factor x(d).
-4*(d + 6)*(d + 53)
Let j(k) be the first derivative of k**8/1680 + k**7/168 + k**6/90 - 2*k**3/3 + 3. Let i(g) be the third derivative of j(g). Factor i(d).
d**2*(d + 1)*(d + 4)
Let i(h) be the first derivative of -h**4/2 - 88*h**3 - 1440*h**2 - 829. Factor i(u).
-2*u*(u + 12)*(u + 120)
Factor 1/6*a**3 + 16/3*a**2 - 103/6*a + 35/3.
(a - 2)*(a - 1)*(a + 35)/6
Factor 140 - 4 - p**2 - 11*p - 19*p.
-(p - 4)*(p + 34)
Let u(w) be the third derivative of 0*w**3 - 5/4*w**4 + 1/12*w**5 + 0 + 0*w + 49*w**2. Solve u(c) = 0 for c.
0, 6
Let s(i) be the third derivative of -i**8/210 - 71*i**7/525 - 51*i**6/50 - 117*i**5/50 + 9*i**4/5 - 5*i**2 + 557. Find o, given that s(o) = 0.
-12, -3, 0, 1/4
Let -25*b + 41*b + 1190403*b**2 - 1190402*b**2 + 543 - 200*b = 0. What is b?
3, 181
Suppose -a - 7 = -13. Suppose -a = -2*j - 0. Solve -6*k + 19*k + 6 - 4*k + j*k**2 = 0.
-2, -1
Let b = 4849 + -4846. Let i(c) be the second derivative of 0 - 5/4*c**4 - 3/5*c**5 + 0*c**2 - 1/10*c**6 + b*c - c**3. Determine v, given that i(v) = 0.
-2, -1, 0
Let r(n) be the first derivative of -n**6/96 + 5*n**4/96 + n**2/2 - 86*n - 70. Let g(a) be the second derivative of r(a). Solve g(t) = 0.
-1, 0, 1
Factor 73928*h**2 - 73929*h**2 + 4344*h - 2689377 - 2028207.
-(h - 2172)**2
Let t(p) be the third derivative of -5*p**8/336 - 29*p**7/21 + 59*p**6/24 + 298*p**2 - 2. Suppose t(m) = 0. What is m?
-59, 0, 1
Let m(i) = 15*i**2 + 14*i + 10. Let p(a) = 4*a - 7*a**2 - 289 + 284 - 10*a. Let t(w) = -6*m(w) - 13*p(w). Factor t(b).
(b - 5)*(b - 1)
Let c = 26 - 24. Let a be -13 - (-1)/2*164/6. Factor 5/6*w**3 + 0 + a*w - 2*w**c.
w*(w - 2)*(5*w - 2)/6
Let x be (-13356)/342 + 41 + (-3)/(-57). Factor 0 + 3/4*m**x + 3/4*m.
3*m*(m + 1)/4
Let n(w) = 82*w**2 + 178*w - 72. Let v(d) = -d - 6. Let c be v(6). Let y(z) = -33*z**2 - 12 - 32*z + 44 - 3 - 39*z. Let m(t) = c*y(t) - 5*n(t). Factor m(b).
-2*(b + 3)*(7*b - 2)
Suppose 5*p - 4715 = -5*q, -q + 73 + 865 = -4*p. Suppose -q + 957 = 5*z. Factor -3/2*l**3 + 0 - z*l**2 + 9/2*l.
-3*l*(l - 1)*(l + 3)/2
Let x = 19948 - 19946. Factor 0 + 1/2*c + 0*c**3 - 1/2*c**5 - c**4 + c**x.
-c*(c - 1)*(c + 1)**3/2
Let b(j) be the second derivative of j**4/12 + 37*j**3/3 + 1894*j. Factor b(s).
s*(s + 74)
Let a(n) = n**3 - 32*n**2 - 954*n + 287. Let s be a(-19). Find l, given that -45 - 5/2*l**s + 95/2*l = 0.
1, 18
Let h be -25*(-1)/(-3)*2046/(-55). Let n be -8 + (-9 - h/(-18)). Find z such that 2/3 - 8/9*z + n*z**2 = 0.
1, 3
Suppose -2*q**2 - 150 - 978*q + 1902*q - q**2 - 969*q = 0. What is q?
-10, -5
Let j(a) = -a**3 - 4. Let f(u) = -6*u**3 + 385*u**2 - 20. Let r(v) = f(v) - 5*j(v). Factor r(n).
-n**2*(n - 385)
Let s(o) be the third derivative of o**5/660 - 17*o**4/88 - 203*o**3/33 - 2817*o**2. Suppose s(b) = 0. What is b?
-7, 58
Let h(m) = m. Let p(x) = 5*x**3 - 28*x**2 + 29*x + 18. Let w(t) = 4*t + 31. Let l be w(-8). Let a(r) = l*p(r) - 4*h(r). Find n such that a(n) = 0.
-2/5, 3
Let f = 522 + -737. Let q = f + 1291/6. Factor 1/6*t**3 - 1/6*t**2 + 0*t + 0 - q*t**5 + 1/6*t**4.
-t**2*(t - 1)**2*(t + 1)/6
Let t be (1 + 3 - (-22)/(-11)) + 1. Let -6*p**2 - 6*p**t + 6 + 5*p**3 - 36*p + 37*p = 0. Calculate p.
-6, -1, 1
Suppose -2*m + 5*t = -13, -5*m - 24*t + 27*t = -42. Suppose -3*j = 4*n - m, 3*j = 5*n + 6 + 3. Factor -1/6*y**j + 1/3*y**2 + 1/2*y + 0.
-y*(y - 3)*(y + 1)/6
Let g(f) be the second derivative of f**4/4 - 7*f**3/18 - 10*f**2 - 212*f. Factor g(m).
(m - 3)*(9*m + 20)/3
Let t(h) be the second derivative of h**4/6 + 28*h**3 + 83*h**2 + 510*h + 1. What is z in t(z) = 0?
-83, -1
Suppose -8*l + 4*v + 378 - 334 = 0, 5*v + 55 = 3*l. Factor -3/7*d**4 + l + 6/7*d**3 + 0*d**2 + 0*d.
-3*d**3*(d