ive of 0*t**2 - 1/36*t**4 + 1/18*t**6 - 1/42*t**7 + 50*t + 0 + 0*t**3 - 1/60*t**5. Factor z(m).
-m**2*(m - 1)**2*(3*m + 1)/3
Let m(b) = -4*b**2. Let k(l) be the first derivative of l**2/2 - 36. Let n(p) = -4*k(p) + m(p). Solve n(g) = 0 for g.
-1, 0
Let g be (7 - 7)/(2/(2 - 0)). Suppose g = -2*v, 5*n + 0*v = 2*v. Let -1/2*h**4 + 0*h - 2*h**3 + n - 2*h**2 = 0. What is h?
-2, 0
Let s(g) be the first derivative of -g**6/51 + 12*g**5/85 - 11*g**4/34 + 4*g**3/17 - 256. Find z, given that s(z) = 0.
0, 1, 2, 3
Let p(l) be the second derivative of -l**4/12 - 7*l**3/6 - 5*l**2 - 6*l. Let r be p(-5). Factor 0 - 1/4*y**3 + 1/4*y + r*y**2.
-y*(y - 1)*(y + 1)/4
Let q(z) be the first derivative of -z**6/75 + 7*z**5/50 - 7*z**4/15 + 8*z**3/15 - 2*z + 24. Let n(b) be the first derivative of q(b). Factor n(p).
-2*p*(p - 4)*(p - 2)*(p - 1)/5
Let x(b) be the second derivative of 5*b**4/12 - 25*b**3/6 - 60*b**2 + 73*b. Factor x(l).
5*(l - 8)*(l + 3)
Let c(h) be the first derivative of 5*h**4/4 - 20*h**3/3 + 25*h**2/2 - 10*h - 81. Factor c(z).
5*(z - 2)*(z - 1)**2
Let o = -170/37 - -961/185. Factor 0 - 3/5*n**2 + o*n.
-3*n*(n - 1)/5
Let l = 85 + -53. Suppose -12*u = -4*u - l. Factor 0 - w**2 - w**3 - 1/3*w - 1/3*w**u.
-w*(w + 1)**3/3
Let y = -2973 - -2976. Let i(t) be the first derivative of -14 - 15/4*t**4 - 3/2*t**5 - 3/2*t - 1/4*t**6 - 5*t**y - 15/4*t**2. Factor i(x).
-3*(x + 1)**5/2
Let x be (-48)/22 - (-8)/44. Let m(w) = 2*w**2 - w - 2. Let n be m(x). Suppose 2*r**4 + 3*r**4 + 4*r**2 + 0*r**3 + n*r**3 + r**5 = 0. What is r?
-2, -1, 0
Let h(d) be the second derivative of -d**7/2520 - d**6/360 - d**5/120 - 11*d**4/12 + 13*d. Let x(m) be the third derivative of h(m). Solve x(o) = 0.
-1
Let n(x) be the third derivative of -x**5/60 - 29*x**4/6 - 1682*x**3/3 - 76*x**2 - 2*x. Factor n(s).
-(s + 58)**2
Let 44/9 - 14/3*t - 2/9*t**2 = 0. Calculate t.
-22, 1
Let a be 27/(-10)*((-20)/(-30)*-1 + 0). Factor -21/5*i + 9/5*i**3 + 18/5 + 3/5*i**4 - a*i**2.
3*(i - 1)**2*(i + 2)*(i + 3)/5
Let i be 20/170 + (1296/(-714))/(-4). Let t(v) be the second derivative of 1/42*v**4 + 0 + 7*v + i*v**2 - 4/21*v**3. Solve t(r) = 0 for r.
2
Solve -8450 + 2/13*m**5 - 1268*m**2 + 5330*m - 98/13*m**4 + 1844/13*m**3 = 0 for m.
5, 13
Let p be (18 - 19)/((-2)/18). Let c(k) = 12*k - 108. Let i be c(p). Suppose -2/5*f**4 + 0*f + 0*f**2 - 2/5*f**5 + i + 0*f**3 = 0. What is f?
-1, 0
Let n(f) be the third derivative of -f**5/180 - 5*f**4/18 - 19*f**3/18 - 8*f**2 - 3*f. Let n(b) = 0. What is b?
-19, -1
Let r(n) be the third derivative of 5*n**4/24 - 7*n**3/2 + 6*n**2. Let h be r(5). Factor -2/9*y**h + 0 + 0*y**2 + 0*y - 2/9*y**3.
-2*y**3*(y + 1)/9
Let r = -5 + 11. Find t such that -9 - 24*t - r + 4*t**2 - 21 - 8*t**2 = 0.
-3
Let g = -21 + 21. Suppose 8*j - 3*j + 5*j = g. Suppose k**3 + 4/3*k - 1/6*k**4 + j - 2*k**2 = 0. Calculate k.
0, 2
Let p be -1 - (-19 + (-1)/1). Suppose p = 5*y + 4. Find w, given that 10*w**5 + 2 + 2*w**4 - 4*w**y - 6*w**4 + 5*w - 11*w**5 + 2*w**2 = 0.
-2, -1, 1
Let l be (8*16/(-2688))/((-2)/18). Find j, given that -l*j**3 + 0*j**2 + 0 + 3/7*j = 0.
-1, 0, 1
Let c be 4/14 - (-158)/(-8295). Let w(b) be the first derivative of 1/5*b**2 - 4/5*b + c*b**3 - 1 - 1/10*b**4. Let w(g) = 0. What is g?
-1, 1, 2
Let v(i) = i**3 + i - 1. Let t(o) = -2*o**4 + 28*o**3 - 128*o**2 - 4*o + 4. Let z(d) = t(d) + 4*v(d). Solve z(b) = 0 for b.
0, 8
Let r(o) = -29*o - 56. Let z be r(-2). Let d(w) be the third derivative of 0 + 0*w - 3*w**z + 0*w**4 + 0*w**3 + 0*w**5 - 1/40*w**6 + 1/70*w**7. Factor d(c).
3*c**3*(c - 1)
Let m = 2749/1838 + 4/919. Determine g so that 3/4*g + m - 3/4*g**2 = 0.
-1, 2
Suppose 0 + 258/7*v - 2/7*v**2 = 0. What is v?
0, 129
Let a(l) be the third derivative of l**8/112 - l**7/35 - 9*l**6/8 - 71*l**5/10 - 43*l**4/2 - 36*l**3 - 5*l**2 - 4*l. Factor a(d).
3*(d - 9)*(d + 1)*(d + 2)**3
Let j = -974 - -2924/3. Let c(i) be the third derivative of 0 - 1/15*i**5 - j*i**3 + 5*i**2 + 0*i + 1/3*i**4. Factor c(v).
-4*(v - 1)**2
Suppose -5*g + 0*g = -15. Suppose -18 = -5*k - g. Let 85*b**3 + 39*b**2 - 10*b**k + 6*b + 9*b**4 + 33*b**4 = 0. What is b?
-1, -1/2, -2/7, 0
Let d be (8/68 - (2 - (-141)/(-102)))*0. Suppose 4 + 0 = u. Factor -1/2*f**u + d*f + 0*f**3 + 0 + 0*f**2.
-f**4/2
Let d = -56 + 77. Let j be 2/(-7) - (-48)/d. Let -2/3*n + 4/9 + 2/9*n**j = 0. Calculate n.
1, 2
Let p(i) = -7*i**2 - 10*i + 4. Let s(m) = -6*m**2 - 12*m + 3. Let j(r) = -3*p(r) + 4*s(r). Factor j(f).
-3*f*(f + 6)
Let m(k) be the first derivative of -k**4/2 + k**3 - k**2/2 - 3*k + 9. Let h(r) = r**3 - 2*r**2 + r + 2. Let g(j) = 3*h(j) + 2*m(j). What is c in g(c) = 0?
-1, 0, 1
Let a be (2/(0 + -4))/(1/(-4)). Determine m, given that -4*m**a + 4 + 18*m - m - 4*m**3 - 13*m = 0.
-1, 1
Let o(k) be the second derivative of k**5/5 - k**4 + 4*k**3/3 - 33*k. Determine t so that o(t) = 0.
0, 1, 2
Factor 4/3*n + 5/6*n**4 - 2/3*n**2 - 1/6*n**5 + 0 - n**3.
-n*(n - 2)**3*(n + 1)/6
Suppose 11 = 33*v - 25*v - 5. Suppose -1/3*o + v - 7/3*o**2 = 0. What is o?
-1, 6/7
Let u(b) be the first derivative of -5/4*b**4 + 5*b**3 + 16 + 10*b**2 + 0*b. Factor u(y).
-5*y*(y - 4)*(y + 1)
Suppose -8*m = -5*m - 57. Find h such that -4 + h**5 - 4*h - 4*h + 3*h**5 - 12*h**4 - m*h**3 + 10*h**2 + 17*h = 0.
-1, 1/2, 4
Let d be 43*(-5)/1635*5. Let f = 1/109 - d. Solve -2/3*g**2 + 2/9*g + 0 + f*g**3 - 2/9*g**4 = 0 for g.
0, 1
Let w = 1/120 + 1/40. Let l(d) be the second derivative of -1/20*d**5 + 0*d**4 + 0 + 1/21*d**7 + w*d**6 - 7*d + 0*d**2 + 0*d**3. Suppose l(b) = 0. Calculate b.
-1, 0, 1/2
Let o(m) be the third derivative of -5*m**8/2352 - m**7/735 + m**6/56 + 4*m**5/105 + m**4/42 + 45*m**2 - 2. Let o(l) = 0. Calculate l.
-1, -2/5, 0, 2
Let x(y) be the first derivative of 7 - 2*y + 3/2*y**2 - 1/3*y**3. What is j in x(j) = 0?
1, 2
Let a = -958 - -961. Let k(p) be the second derivative of -4*p**a + 1/4*p**4 - 8*p + 24*p**2 + 0. Factor k(u).
3*(u - 4)**2
Factor 4*k**2 + 32 - 5732*k + 11412*k - 5704*k.
4*(k - 4)*(k - 2)
Find i such that 48 - 83 + 33*i**3 - 38*i**3 + 5*i + 35*i**2 = 0.
-1, 1, 7
Let n(j) be the first derivative of -2*j**3/3 - 38*j**2 - 722*j + 73. Factor n(h).
-2*(h + 19)**2
Let p(h) = 4*h**2 - 34*h - 8. Let v = 2 + -5. Let o(c) = 9 - c**2 - 6 + 0 + 11*c. Let m(q) = v*p(q) - 10*o(q). Factor m(l).
-2*(l + 1)*(l + 3)
Determine i so that 17*i**2 + 15*i - 106*i**3 + 53*i**3 - i**2 + 54*i**3 = 0.
-15, -1, 0
Let n = -183479/120 - -1529. Let a(u) be the second derivative of 0 + 0*u**2 + 1/12*u**3 + n*u**6 - 2*u - 1/48*u**4 - 1/40*u**5. Factor a(t).
t*(t - 2)*(t - 1)*(t + 1)/4
Let d = 184 + -96. Factor 4*q**3 + 88 - 8*q**4 - d + 4*q**5.
4*q**3*(q - 1)**2
Let f(v) be the third derivative of v**6/12 + 19*v**5/30 + 23*v**4/12 + 3*v**3 - 54*v**2. Solve f(n) = 0 for n.
-9/5, -1
Let v = 2 + -28/45. Let m = v + -7/9. Factor -6/5*l + 3/5 + m*l**2.
3*(l - 1)**2/5
Let f be 49/11 - 738/(-1353). Let z(g) be the first derivative of -2/15*g**f - 7 + 0*g**2 + 0*g + 2/9*g**3 + 0*g**4. Determine c so that z(c) = 0.
-1, 0, 1
Let 0*r**2 - 5*r**2 - 2645 - 77*r - 153*r = 0. Calculate r.
-23
Let w be 828/198 - 4/22. Suppose 2*m - 8 + w = 0. Factor -m*r**3 - 6*r**2 - 4*r + 5*r - r.
-2*r**2*(r + 3)
Let q = 11283/329 - -7392/47. Let d = q + -191. Factor 0 + 0*n**4 + 0*n**2 + 2/7*n - d*n**3 + 2/7*n**5.
2*n*(n - 1)**2*(n + 1)**2/7
Let l(h) be the third derivative of 2*h**5/5 + 25*h**4/6 + 38*h**3/3 - 50*h**2. Solve l(j) = 0 for j.
-19/6, -1
Suppose 44 = -13*j + 24*j. Suppose 0 + 4/19*n**3 + 0*n + 0*n**2 + 2/19*n**j = 0. Calculate n.
-2, 0
Factor 4*m - 4*m**2 - 4/3 + 4/3*m**3.
4*(m - 1)**3/3
Suppose 3*c - 10 = -2*c. Let o be (3 - 1) + -1 - -11. Factor o*p - p**c - p**2 - 17*p + 7*p.
-2*p*(p - 1)
Let r(s) be the second derivative of s**4/18 + 28*s**3/9 + 9*s**2 + 16*s - 9. Factor r(k).
2*(k + 1)*(k + 27)/3
Let x(r) be the first derivative of -11 + 68/21*r**3 - 128/21*r**6 + 2/7*r - 4/7*r**4 - 64/7*r**5 + 11/7*r**2. Suppose x(d) = 0. What is d?
-1, -1/4, 1/2
Suppose -71*n = -72*n + 3. Let y(c) be the first derivative of -3/4*c**4 + 0*c - 9/2*c**2 - 9 + 4*c**n. Factor y(o).
-3*o*(o - 3)*(o - 1)
Let p be (-2 - (-81)/(-18)) + 7. Let u(c) be the third derivative of 0 + 1/8*c**5 + 0*c + 6*c**2 + 3/16*c**4 - p*c**3. What is a in u(a) = 0?
-1, 2/5
Let f(s) be the first derivative of -6/