 Factor 6/7*t**v + 0 + 6/7*t**3 + 2/7*t**4 + 2/7*t.
2*t*(t + 1)**3/7
Let d(x) be the third derivative of x**5/225 - 11*x**4/180 - 2*x**3/15 - x**2 - 2*x. Factor d(h).
2*(h - 6)*(2*h + 1)/15
Let w = 79 - 77. Let o(d) be the first derivative of -2/25*d**5 + 0*d**4 + 0*d + 0*d**3 + 0*d**w - 5. Find b, given that o(b) = 0.
0
Let c(a) = -a. Let v be c(-5). Let n(h) be the second derivative of 1/10*h**6 + 0*h**3 + 0*h**2 - 3/20*h**v - 2*h + 0 + 0*h**4. Factor n(q).
3*q**3*(q - 1)
Suppose 3*b - b - 17 = o, -4*o - 14 = b. Determine t so that 11*t - 8*t**2 - 43*t - b*t**2 + 2*t**2 - 16 = 0.
-2, -2/3
Let k(t) = t**3 + 28*t**2 + 116*t + 23. Let p be k(-23). Suppose -9 = -3*j - 3. Determine y, given that p*y**j - 3/4*y**4 + 0 + 3/4*y**5 + 0*y + 0*y**3 = 0.
0, 1
Let b = 122 + -64. Suppose b*z - 65*z = -14. Factor -1/2*s**z - 1 - 3/2*s.
-(s + 1)*(s + 2)/2
Let n(c) be the first derivative of -c**4/16 + 11*c**3/4 - 315*c**2/8 + 675*c/4 + 130. Solve n(d) = 0 for d.
3, 15
Suppose -2*i - 7*a + 62 = -6*a, -3*i = 2*a - 92. Let h(z) be the first derivative of 1/8*z**4 + i*z + 12*z**2 + 2*z**3 + 8. Solve h(d) = 0 for d.
-4
Let y(u) be the first derivative of -2*u**3/9 - u**2/3 + 4*u/3 + 129. Determine i, given that y(i) = 0.
-2, 1
Let n(f) be the first derivative of -f**4/14 + 52*f**3/21 - 7*f**2 + 48*f/7 - 221. Factor n(g).
-2*(g - 24)*(g - 1)**2/7
Suppose 0 = -2*u - 129 - 53. Let b = u - -458/5. Factor 0*d + 0 - b*d**3 - 3/5*d**2.
-3*d**2*(d + 1)/5
Let h(c) be the first derivative of c**8/9240 - c**6/660 + c**5/330 - 2*c**3/3 - 10. Let o(i) be the third derivative of h(i). Factor o(u).
2*u*(u - 1)**2*(u + 2)/11
Let z(o) be the second derivative of o**8/6720 + o**7/1260 + o**4/4 + 5*o**2 + o + 6. Let a(l) be the third derivative of z(l). Factor a(q).
q**2*(q + 2)
Let a(i) be the second derivative of 0*i**3 + 1/18*i**4 - 7*i + 0*i**2 + 0. Factor a(d).
2*d**2/3
Let j(o) = 2*o**3 + 41*o**2 + 15*o - 12. Let f(x) = 2*x**2 + 1. Let h(c) = -20*f(c) + 5*j(c). Suppose h(g) = 0. Calculate g.
-16, -1, 1/2
Let i(a) = -a**4 - 1. Let z(k) = 22*k**2 + 6 + k**5 + 9*k**4 + 13*k + 18*k**3 + 1 - k**4 - 3. Let r(g) = -i(g) - z(g). Determine p so that r(p) = 0.
-3, -1
Let x(r) be the third derivative of -r**8/112 - r**7/70 + r**6/40 + r**5/20 + 391*r**2. Factor x(v).
-3*v**2*(v - 1)*(v + 1)**2
Let g be (-4 - -3)*(-3 + 1)*1. Factor 6/23 + 2/23*d**g + 8/23*d.
2*(d + 1)*(d + 3)/23
Suppose -3 + 0 = -d. Let v = -10191/4 - -2550. Factor d*m - v - 3/4*m**2.
-3*(m - 3)*(m - 1)/4
Let i = 12244 + -12240. Factor -4/5*n - 1/5*n**i + 0 + 4/5*n**2 + 1/5*n**3.
-n*(n - 2)*(n - 1)*(n + 2)/5
Let m(o) be the third derivative of 4*o**2 - 1/180*o**5 + 1/18*o**3 + 0*o**4 + 0*o + 0. Solve m(i) = 0.
-1, 1
Let p be 96/70 - (0 - 12/(-15)). Let q(l) be the second derivative of -2/21*l**4 + p*l**2 - 1/70*l**5 + 0 + 1/21*l**3 + 3*l. Find v, given that q(v) = 0.
-4, -1, 1
Let u(g) be the first derivative of g**4/8 + 2*g**3 - 27*g**2/4 + 42*g + 3. Let d(b) be the first derivative of u(b). Suppose d(f) = 0. Calculate f.
-9, 1
Let b be ((-20)/48)/(-1) - 18*(-19)/(-4104). Factor -21*v - b*v**3 + 49/3 + 5*v**2.
-(v - 7)**2*(v - 1)/3
Let -40*t**2 + 6*t - 13*t**2 + 56*t**2 = 0. What is t?
-2, 0
What is x in -x**2 - 9/4*x**3 + 0*x - 1/4*x**5 - 3/2*x**4 + 0 = 0?
-4, -1, 0
Let k(d) be the third derivative of 1/90*d**5 - 1/9*d**3 + 1/1008*d**8 - 2*d**2 + 0*d - 1/90*d**6 + 0 + 0*d**7 + 1/24*d**4. Factor k(u).
(u - 1)**3*(u + 1)*(u + 2)/3
Let d = 115/27 + -97/27. Let 4/3 - d*l**2 + 2*l - 2/3*l**4 - 2*l**3 = 0. What is l?
-2, -1, 1
Find x such that 450*x**3 + 0 - 208*x**2 + 125/2*x**5 - 350*x**4 + 32*x = 0.
0, 2/5, 4/5, 4
Let m be (-3*5/225)/(-4 + 0). Let a(o) be the third derivative of -2/15*o**3 + 1/150*o**5 + 0*o + m*o**4 + 0 + 4*o**2. Factor a(w).
2*(w - 1)*(w + 2)/5
Let k = 8879/5 + -1704. Let d = 72 - k. Factor d*o**4 + 0 + 0*o**3 - 1/5*o**2 + 0*o.
o**2*(o - 1)*(o + 1)/5
Let b(v) be the third derivative of 2/75*v**5 + 0 + 0*v**3 + 1/15*v**4 - 1/525*v**7 + 20*v**2 + 0*v - 1/300*v**6. Factor b(i).
-2*i*(i - 2)*(i + 1)*(i + 2)/5
Let h(g) be the second derivative of -g**8/30240 + g**7/1890 - g**6/648 + 19*g**4/12 + 7*g. Let m(f) be the third derivative of h(f). Find c such that m(c) = 0.
0, 1, 5
Suppose 498 = 2*u + 88. Suppose 3*x + 2*x - u = 0. Factor -3*o**5 + 2*o**5 + 43*o**4 - x*o**4.
-o**4*(o - 2)
Let h(g) = 3*g**2 + 42*g + 29. Let r be h(-13). Let f be (((-12)/r)/2)/((-22)/(-20)). Solve -4/11*p**3 + 6/11*p - 2/11*p**5 + 2/11 + 4/11*p**2 - f*p**4 = 0.
-1, 1
Let t(g) be the third derivative of 55/24*g**4 - 5/3*g**3 + 0*g + 13/12*g**6 - 1/3*g**7 - 2*g**5 + 2*g**2 + 5/112*g**8 + 0. Solve t(d) = 0.
2/3, 1
Suppose -i - l - 40 = -43, 0 = i + 4*l - 3. Suppose -2*c**2 - 4/3*c**i + 2/3*c**4 + 0*c + 0 = 0. Calculate c.
-1, 0, 3
Suppose 0 = -0*w + 12*w - 1140. Let o = w + -93. Solve 0*s + s**5 + 5/4*s**4 + 0 + 1/4*s**3 + 0*s**o = 0.
-1, -1/4, 0
Let c(o) be the first derivative of 5*o**8/2016 + o**7/70 + 17*o**6/720 - o**4/36 - 19*o**2/2 - 22. Let u(h) be the second derivative of c(h). Solve u(g) = 0.
-2, -1, 0, 2/5
Find m such that 43 - 139 - 3*m**2 - 11*m - 25*m = 0.
-8, -4
Let t(i) be the third derivative of -i**6/900 - 7*i**5/225 + 31*i**4/180 - 16*i**3/45 - 69*i**2. Find o such that t(o) = 0.
-16, 1
Factor 69 - 25 - 33 - 12*q - 2*q**2 + 3*q**2.
(q - 11)*(q - 1)
Let v(p) be the second derivative of 1/27*p**4 + 1/6*p**3 + 0 + 47*p + 1/9*p**2. Factor v(f).
(f + 2)*(4*f + 1)/9
Let z(m) be the first derivative of -m**5/4 - 5*m**4/12 + 5*m**3/6 + 5*m**2/2 - m + 4. Let c(g) be the first derivative of z(g). Factor c(v).
-5*(v - 1)*(v + 1)**2
Let a(z) = 11*z**3 + 2*z**2 - 109*z - 224. Let b(x) = -4*x**3 - x**2 + 36*x + 75. Let q(d) = 3*a(d) + 8*b(d). Factor q(v).
(v - 8)*(v + 3)**2
Let t(n) be the third derivative of -n**8/196 - 52*n**7/245 - 817*n**6/280 - 1867*n**5/140 - 1679*n**4/56 - 529*n**3/14 + 6*n**2 + 28. Factor t(s).
-3*(s + 1)**3*(2*s + 23)**2/7
Let i(b) be the second derivative of -b**5/50 - 2*b**4/5 - 16*b**3/5 - 64*b**2/5 + 207*b. Determine d, given that i(d) = 0.
-4
Let n(j) be the first derivative of -j**6/40 - j**5/5 - 7*j**2/2 - 14. Let a(t) be the second derivative of n(t). Factor a(z).
-3*z**2*(z + 4)
Let j be ((-1512)/(-105))/8 + (-57)/(-10). Find c such that -3 - 3/2*c + 3/2*c**3 - 9/2*c**4 + j*c**2 = 0.
-1, -2/3, 1
Let t(i) be the second derivative of 1/60*i**3 + 0*i**2 + 1/120*i**4 - 24*i + 0. Factor t(u).
u*(u + 1)/10
Let 16 - 10 + 4*u**3 - 4*u - 6 = 0. What is u?
-1, 0, 1
Let c(h) be the first derivative of -1/4*h**2 - 1/24*h**4 + 0*h + 32 - 2/9*h**3. Factor c(w).
-w*(w + 1)*(w + 3)/6
Suppose -32/5*i**4 + 2/5*i**5 - 196/5*i**2 + 0*i + 154/5*i**3 + 0 = 0. What is i?
0, 2, 7
Let p(z) be the second derivative of 0*z**2 + 1/112*z**7 - 1/8*z**4 + 9/80*z**5 + 0 + 1/16*z**3 + 9*z - 1/20*z**6. Suppose p(u) = 0. Calculate u.
0, 1
Let z(l) be the second derivative of -7*l**5/4 - 80*l**4/9 + 190*l**3/9 - 40*l**2/3 + 80*l - 1. Find v, given that z(v) = 0.
-4, 2/7, 2/3
Let k(l) be the third derivative of -l**7/2240 + l**6/480 + l**5/320 - l**4/32 + 4*l**3 - 21*l**2. Let x(m) be the first derivative of k(m). Factor x(f).
-3*(f - 2)*(f - 1)*(f + 1)/8
Let x = -32125 - -96379/3. Let -4/3 - 4/3*l + 4/3*l**2 + x*l**3 = 0. What is l?
-1, 1
Let x(s) = -16*s**5 + 6*s**4 + 128*s**3 - 1030*s. Let a(g) = 14*g**5 - 5*g**4 - 128*g**3 + 1029*g. Let q(j) = -6*a(j) - 5*x(j). Suppose q(k) = 0. Calculate k.
-4, 0, 4
Let y be 111/(9/6 + 0). Let l = y + -72. Determine r, given that 0 + 4/3*r - 2/3*r**l = 0.
0, 2
Let v(d) = -d**3 + d**2 - 4. Let j(r) = 4*r**5 + 52*r**4 + 90*r**3 + 46*r**2 - 8. Let i(f) = j(f) - 2*v(f). Factor i(q).
4*q**2*(q + 1)**2*(q + 11)
Let m = -4/125 - -29/125. Let c(z) be the first derivative of -9 + 8/5*z**2 + 0*z + 16/15*z**3 + m*z**4. Let c(s) = 0. What is s?
-2, 0
Let h(v) = -63*v**2 - 405*v + 48. Let t(w) = 64*w**2 + 404*w - 48. Let b(d) = -4*h(d) - 5*t(d). Factor b(n).
-4*(n + 6)*(17*n - 2)
Let a = 74 + -47. Factor -a*s + 23*s + 5*s**2 - s**2 - 8.
4*(s - 2)*(s + 1)
Let d be (-10)/(-15)*(-3)/(-2). Let r be d - 9/18 - 1/(-2). Suppose -r - 1/2*z**3 - 1/2*z**4 + 1/2*z + 3/2*z**2 = 0. Calculate z.
-2, -1, 1
Let m(x) = x**2 + 10*x + 9. Let v be m(-1). Suppose v*h = -2*h - 5*h. Determine l so that h*l - 16/3 + 4*l**2 -