 of i**6/420 - i**5/210 + 4*i**2. Find d such that f(d) = 0.
0, 1
Let d(v) = 6*v**5 + 2*v**4 + 2*v**3 + 6*v**2 - 8*v - 8. Let q(z) = -4*z**5 - z**4 - z**3 - 4*z**2 + 5*z + 5. Let a(o) = 5*d(o) + 8*q(o). Factor a(j).
-2*j**2*(j - 1)**2*(j + 1)
Solve -56*y**3 - 10*y**4 + 2657 + 36*y - 2657 - 66*y**2 = 0 for y.
-3, 0, 2/5
Let s = -5 + 0. Let t(d) = d**3 + 6*d**2 + 6*d + 5. Let b be t(s). Factor b - 1/3*v**2 + 1/3*v.
-v*(v - 1)/3
Let w(y) be the second derivative of y**4/96 - y**3/48 - y**2/8 + 31*y. Solve w(c) = 0.
-1, 2
Suppose -2*n - 2*x + 6 = -x, 0 = 5*n + 2*x - 17. Determine j so that -2*j + 4*j**2 + 6*j**5 - j**n - 3*j**5 - 4*j**4 = 0.
-1, 0, 1
Let g(i) = i + 1. Let y be g(2). Let p = 6 - y. Factor 3*q**2 - 2*q**3 - 6*q + 1 + 3*q + 0*q + q**p.
-(q - 1)**3
Let j be (-2)/6*9/(-6). Let x = 80 - 159/2. Solve -o + x + j*o**2 = 0.
1
Let y(g) be the third derivative of -g**5/180 - g**4/72 + g**3/9 - 15*g**2. Factor y(a).
-(a - 1)*(a + 2)/3
Let w(l) = -l**4 + 5*l**3 - 12*l**2 - 3*l - 5. Let g(b) = -2*b**3 + 6*b**2 + 2*b + 2. Let t(a) = 5*g(a) + 2*w(a). Determine j, given that t(j) = 0.
-1, 0, 2
Let d(s) be the first derivative of 2/13*s**2 + 3 - 2/13*s**3 + 0*s. Solve d(n) = 0 for n.
0, 2/3
Let c(h) be the first derivative of 7*h**5/20 - 13*h**4/24 + h**3/3 - 3*h**2/2 + 2. Let s(k) be the second derivative of c(k). Factor s(n).
(3*n - 1)*(7*n - 2)
Let x(f) be the second derivative of 3/2*f**2 - 2/3*f**3 + 0 + 1/12*f**4 + 9*f. Factor x(d).
(d - 3)*(d - 1)
Let d(n) be the first derivative of -2*n**3/33 + 3*n**2/11 - 4*n/11 - 13. Determine l, given that d(l) = 0.
1, 2
Let c(j) = -2*j**3 - 13*j**2 - 5*j + 8. Let i be c(-6). Factor -1/4*f**i + 0 - 1/2*f.
-f*(f + 2)/4
Factor 4*s**4 - 5*s - 3*s - 10*s**2 + s**5 + 3*s**5 - 12*s**3 - 10*s**2.
4*s*(s - 2)*(s + 1)**3
Let u = 0 + 1. Suppose -u - 7 = -4*y. Find w such that -4*w - w**2 + 1 + 1 + 3*w**y = 0.
1
Let u be 5 + (-198)/45 - 2/(-30). Factor u*j**2 - 2/3*j + 0.
2*j*(j - 1)/3
Let m = -88 + 94. Let n(z) be the first derivative of 0*z**4 + 1/2*z**m + 0*z**3 - 3/5*z**5 + 4 + 0*z**2 + 0*z. Factor n(w).
3*w**4*(w - 1)
Let u = -6 + 8. Factor c**2 + 0*c**2 + 2*c**3 - u*c**4 + c**2 - 2*c**5 + 0*c**4.
-2*c**2*(c - 1)*(c + 1)**2
Suppose -2*s - 92 = 4*n, n + 12 = 2*s - 1. Let d be ((-66)/n + -3)*10. Factor 2/7*f**2 - d*f**3 + 0 + 2/7*f + 6/7*f**4.
2*f*(f - 1)**2*(3*f + 1)/7
Let d be 1 - (3/(-6) - (-9)/6). Factor 8/5*o**4 - 2/5*o + 4/5*o**2 + 14/5*o**3 + d.
2*o*(o + 1)**2*(4*o - 1)/5
Determine z so that 1/3*z**4 + 0*z**2 + 0 + 0*z + 1/3*z**3 = 0.
-1, 0
Suppose -13*o - 16 = -17*o. Suppose 84 = 3*g - 18. What is m in 10*m**2 + 2*m - 4/5 + 34*m**o - g*m**3 - 56/5*m**5 = 0?
-1/4, 2/7, 1
Let i(h) = -10*h**3 - 10*h**2 - 14*h. Let d(n) = -2*n**3 - 2*n**2 - 3*n. Suppose 3*z - 1 = -5*p + 41, 3*z + 4*p = 42. Let j(c) = z*d(c) - 3*i(c). Factor j(x).
2*x**2*(x + 1)
Suppose -100 + 176 = 19*w. Suppose -2/11*u**2 - 2/11*u**5 + 0 + 2/11*u**3 + 2/11*u**w + 0*u = 0. What is u?
-1, 0, 1
Let m(z) be the first derivative of -z**4/4 - z**3/3 + 10. Suppose m(q) = 0. What is q?
-1, 0
Let v(t) = -t**2 + t. Let x(p) = p. Let r(h) = -4*v(h) + 44*x(h). Suppose r(n) = 0. Calculate n.
-10, 0
Let k be (-2 - (-132)/21 - 4)*7. Let z(w) be the third derivative of 0*w**3 + 0*w - 1/30*w**5 + 0 - 1/105*w**7 + 0*w**4 - 1/30*w**6 + w**k. Factor z(d).
-2*d**2*(d + 1)**2
Let v be 2/(-4) - (-2)/4. Let y(h) be the second derivative of 1/12*h**4 - 1/30*h**6 - 1/12*h**3 - 2*h + 0*h**2 + v*h**5 + 1/84*h**7 + 0. Factor y(j).
j*(j - 1)**3*(j + 1)/2
Let p(z) be the second derivative of 2*z**6/135 + z**5/45 - z**4/27 - 2*z**3/27 - 9*z. Factor p(j).
4*j*(j - 1)*(j + 1)**2/9
Let w(g) be the second derivative of -3/20*g**5 + 2*g - 3/2*g**2 + 1/2*g**3 + 0 + 1/4*g**4. Factor w(z).
-3*(z - 1)**2*(z + 1)
Let k(g) be the third derivative of -g**6/240 + g**4/12 + 13*g**2. Solve k(m) = 0.
-2, 0, 2
Let d(v) = 2*v - 8. Let m be d(5). Determine p, given that 0 - p**5 + 4/7*p + 3/7*p**3 + 16/7*p**4 - 16/7*p**m = 0.
-1, 0, 2/7, 1, 2
Let a(r) = -2*r**5 + 17*r**4 - 31*r**3 + 19*r**2 - 3*r. Let b(m) = -m**5 + 8*m**4 - 15*m**3 + 10*m**2 - 2*m. Let l(t) = 2*a(t) - 5*b(t). Solve l(c) = 0.
0, 1, 2
Let x(q) = 5*q**3 - q + 4. Let p(t) = -5*t**3 + t**2 + 2*t - 4. Let f(g) = 7*p(g) + 6*x(g). Factor f(y).
-(y - 2)*(y + 1)*(5*y - 2)
Let p(m) be the second derivative of -2/15*m**3 + 27/50*m**6 + 0*m**2 + 0 - 9/20*m**5 - 8/15*m**4 + 3*m. Let p(g) = 0. What is g?
-2/9, 0, 1
Let a(k) be the second derivative of -4/3*k**2 + 0 - 13/18*k**4 - 4/3*k**3 - 1/45*k**6 - k - 1/5*k**5. Factor a(s).
-2*(s + 1)**2*(s + 2)**2/3
Let i = -10 + 13. Let c be (-16)/(-6) + (-2)/3. Factor -2/9*s + 2/9*s**i + 0*s**c + 0.
2*s*(s - 1)*(s + 1)/9
Let s(l) be the third derivative of -l**6/1260 + 2*l**3/3 + l**2. Let d(o) be the first derivative of s(o). Factor d(n).
-2*n**2/7
Suppose 4*t = -2*p + 32, -5*t + 2*t - p = -22. Let v be ((-22)/14)/(t/(-7)). Suppose -1/2*k**4 + 2/3*k - 2*k**2 + v*k**3 + 0 = 0. Calculate k.
0, 2/3, 1, 2
Let v(i) = 0 + 0*i**2 + i**2 - 2. Let g be v(2). Factor g*l**3 - 2*l**3 + 2*l**3 - l - l**2.
l*(l - 1)*(2*l + 1)
Let s(v) = v**4 + v**3 + v + 1. Let d(q) = 6*q**4 + 12*q**3 - 9*q**2 + 14*q + 5. Let b(o) = -3*d(o) + 21*s(o). Solve b(i) = 0.
1, 2
Let x be 4*2*(-1)/2. Let u(n) = n + 4. Let g be u(x). Find i such that -1/3*i**3 + 0*i**2 + g + 1/3*i = 0.
-1, 0, 1
Suppose -4 = -3*x + 6*j - 4*j, -x - 3 = -5*j. Solve -2*y + 2*y**x - 1 + 5*y + 2*y**2 = 0.
-1, 1/4
Let -8/13*n - 8/13*n**3 + 12/13*n**2 + 2/13 + 2/13*n**4 = 0. What is n?
1
Let m(d) = d**3 + 7*d**2 + 3*d - 4. Let s(u) = -u**3 - 7*u**2 - 2*u + 4. Let z(w) = 3*m(w) + 2*s(w). Let t be z(-6). Factor -t*l**2 + 3*l**2 - 2*l**4 + l**4.
-l**2*(l - 1)*(l + 1)
Let w(u) = -4*u**2 + 2 + 0 - 4 + 3*u**3 + 3*u**3. Let j(z) = -7*z**3 + 4*z**2 + z + 2. Let i(y) = 5*j(y) + 6*w(y). What is r in i(r) = 0?
1, 2
Let w(m) be the first derivative of 1 + m**3 - 2*m + 1/2*m**2. Find h, given that w(h) = 0.
-1, 2/3
Let z be ((-22)/55)/(5/(5/(-2))). Suppose 1/5*y**2 + z - 2/5*y = 0. What is y?
1
Suppose 20 = -5*b - 0*b - 2*y, -y = b + 7. Let a = b + 4. Factor -1/2 + l**3 - l**a + 1/2*l**5 - 3/2*l + 3/2*l**4.
(l - 1)*(l + 1)**4/2
Suppose 4*o = 2*k - 60, -4*k + 63 = -2*k - 3*o. Let d be (-573)/(-27) + (-8)/k. Determine v so that 2 - 2 - 8*v**5 + 3*v**2 - d*v**4 - 4*v**5 - 6*v**3 = 0.
-1, 0, 1/4
Factor 3 + 1/3*s**2 - 2*s.
(s - 3)**2/3
Let i(k) = 7*k**3 - 5*k**2 + 3*k - 5. Let r(w) = 3*w**3 - 2*w**2 + w - 2. Suppose 5*t - 4 = 21. Let o(q) = t*r(q) - 2*i(q). Factor o(x).
x*(x - 1)*(x + 1)
Suppose -f = -0*f + 2. Let z = f - -4. Find l such that -4/9*l - 2/3*l**3 + 0 - 10/9*l**z = 0.
-1, -2/3, 0
Determine j so that 18/7*j**2 - 6/7*j - 2/7 - 10/7*j**3 = 0.
-1/5, 1
Let o(k) = k**3. Let w(u) = -u**4 + 5*u**3 - 5*u**2 + 2*u. Let y(b) = o(b) - w(b). Factor y(q).
q*(q - 2)*(q - 1)**2
Find g such that -5*g + 5 + 3*g**3 - 5 + 2*g = 0.
-1, 0, 1
Let a be -3 + (-455)/(-450) - (1 - 3). Let y(j) be the second derivative of -1/9*j**3 + 2*j + 2/9*j**2 + 0*j**4 + a*j**5 + 0. Factor y(o).
2*(o - 1)**2*(o + 2)/9
Let s = -3/14 + 43/70. Let c(l) be the second derivative of 0*l**3 - 3*l + 5/42*l**7 + 9/20*l**5 - 1/6*l**4 + 0*l**2 - s*l**6 + 0. Let c(r) = 0. Calculate r.
0, 2/5, 1
Let m(q) be the third derivative of 0*q**4 + 1/105*q**7 + 6*q**2 + 0*q - 1/210*q**6 + 0*q**3 + 0 + 0*q**5. Let m(j) = 0. What is j?
0, 2/7
Let m(p) = -3*p**4 + 2*p**3 - 7*p**2 - 4*p - 4. Let o(n) = -15*n**4 + 9*n**3 - 36*n**2 - 21*n - 21. Let u(y) = 21*m(y) - 4*o(y). Factor u(g).
-3*g**2*(g - 1)**2
Let i be (-110)/112 - -2 - 1. Let a = i - -107/280. Factor -a*f**3 - 2/5 + 2/5*f**2 + 2/5*f.
-2*(f - 1)**2*(f + 1)/5
Let w(i) be the first derivative of 1 + 4/3*i**3 - 1/2*i**4 + 0*i - i**2. What is f in w(f) = 0?
0, 1
Let u(h) = -h**2 + 4. Let m be u(0). Let j = m + -2. Factor 0 - 3/5*g**3 - 3/5*g**j + 3/5*g**5 + 3/5*g**4 + 0*g.
3*g**2*(g - 1)*(g + 1)**2/5
Factor -g**2 + 4*g**2 + 6*g - 9*g.
3*g*(g - 1)
Let k = 1231/5 + -241. Let 8*a + 8/5 + 64/5*a**3 + 74/5*a**2 + 4/5*a**5 + k*a**4 = 0. Calculate a.
-2, -1, -1/2
Let x = -3 - -3. Let a be x*(-2)/(-6) - -2. Factor d**a + 1/2 - 3/2*d.
(d - 1)*(2*d - 1)/2
Factor 1/8*x**4 + 1/4*x - 3/8*x**2 + 0*x**3 + 0.
x*(x - 1)**2*(x + 2)/8
Let o be (-4 + 1/((-21)/(-80)))*-6. Factor 0 - o*d - 4