r -14/9*p - 2/3*p**3 - k*p**2 - 4/9.
-2*(p + 1)**2*(3*p + 2)/9
Let l(s) be the third derivative of 2*s**2 - 7/240*s**5 - 1/480*s**6 - 1/6*s**4 + 0 - 20*s - 1/2*s**3. Factor l(d).
-(d + 2)**2*(d + 3)/4
Suppose -15*g + 63 = 70*g + 6*g - 301. What is y in 32/7*y**2 + 4*y - 30/7 - g*y**3 - 2/7*y**4 = 0?
-15, -1, 1
Let z(p) be the third derivative of -p**6/540 + 13*p**5/90 - 19*p**4/54 - 2281*p**2. What is d in z(d) = 0?
0, 1, 38
Let o = 5569 + -2489. Determine s, given that -3081*s**3 + o*s**3 - s**2 + 3*s**2 = 0.
0, 2
Let c(q) be the first derivative of -q**4/24 + 13*q**3/18 - 13*q**2/4 + 9*q/2 + 944. Factor c(b).
-(b - 9)*(b - 3)*(b - 1)/6
Let w(q) = -10*q**5 + 4*q**4 + 2*q**3 - 2*q**2 - q - 5. Let u(a) = -7*a**5 + 3*a**4 + 2*a**3 - 2*a**2 - a - 3. Let l(n) = 3*u(n) - 2*w(n). Solve l(c) = 0 for c.
-1, 1
Suppose 0 = 5*y - 2*n - 542, -4*y - 6*n + 427 = -n. Determine p so that -12*p**4 + y*p**5 + 15*p - 18*p**3 + 110*p**5 - 215*p**5 + 12*p**2 = 0.
-1, 0, 1, 5
Let y(f) = 2*f**2 + 2*f - 13*f + 11*f + f**3 + f**4. Let z(m) = 25*m**4 + 20*m**3 - 35*m**2 + 10*m. Let k(b) = 5*y(b) - z(b). Factor k(c).
-5*c*(c - 1)*(c + 2)*(4*c - 1)
Let k(j) be the first derivative of 19 + 6/11*j**2 + 0*j - 10/33*j**3 - 1/22*j**4. Factor k(l).
-2*l*(l - 1)*(l + 6)/11
Let v = 38554 - 38552. Find m such that 2/3*m - 2/3*m**4 + 2*m**3 + 0 - 2*m**v = 0.
0, 1
Let x = -157888 + 157891. Determine t, given that -1/4*t**x - t + 7/4*t**2 - 3 = 0.
-1, 2, 6
Suppose -2*m + 16 = 3*o, 2*o + 5*m = 6*o - 6. Factor 0*u**4 - 8*u + 14*u**3 - 64 + 15*u**3 - 13*u**4 + 48*u**2 - 7*u**3 + 15*u**o.
2*(u - 1)*(u + 2)**2*(u + 8)
Let t(f) be the second derivative of -9*f + 0*f**4 + 2 + 0*f**3 - 9/80*f**5 - 1/80*f**6 + 0*f**2. Let t(v) = 0. What is v?
-6, 0
Factor -1326*m + 20*m**2 - 1542*m + 2239*m + m**3.
m*(m - 17)*(m + 37)
Let x(a) = 3*a**2 - 6*a - 168. Let w(c) = -c**2 + 2*c + 53. Let n(p) = -7*w(p) - 2*x(p). Solve n(k) = 0.
-5, 7
Let o(u) be the first derivative of u**5/5 - 23*u**4/4 + 31*u**3 + 455*u**2/2 + 338*u - 1230. Find j, given that o(j) = 0.
-2, -1, 13
Suppose 61*j - 16 - 10 = -26. Let b(m) be the second derivative of 2 - 1/20*m**5 + 1/42*m**7 - 1/15*m**6 + j*m**3 + 1/6*m**4 - 6*m + 0*m**2. Factor b(f).
f**2*(f - 2)*(f - 1)*(f + 1)
Let l(w) be the second derivative of -w**8/13440 - w**7/1008 - w**6/180 - w**5/60 + 23*w**4/12 - 37*w. Let k(z) be the third derivative of l(z). Factor k(y).
-(y + 1)*(y + 2)**2/2
Let d(i) be the second derivative of 1/9*i**4 + 0*i**2 + 16/9*i**3 + 59*i + 0. Suppose d(l) = 0. What is l?
-8, 0
Let p(r) be the first derivative of r**4/16 - 7*r**3/8 - 45*r**2/4 - 147*r - 152. Let c(s) be the first derivative of p(s). What is y in c(y) = 0?
-3, 10
Let c(f) = f**3 - 42*f**2 - 61*f - 40. Let n(x) = 3*x**3 - 85*x**2 - 114*x - 81. Let o(w) = -5*c(w) + 2*n(w). Factor o(q).
(q + 1)**2*(q + 38)
Let a(f) be the first derivative of -8/15*f**5 + 0*f + f**4 - 8/9*f**3 - 17 + 1/3*f**2 + 1/9*f**6. Let a(w) = 0. Calculate w.
0, 1
Let r be ((-130)/(-52))/((-2)/(-4)). Let h(w) be the second derivative of 0 - 1/4*w**3 + 1/4*w**4 - 3/40*w**5 + 0*w**2 - r*w. Factor h(s).
-3*s*(s - 1)**2/2
Let m be (1071/(-360) + 3)*12/5. Let v(g) be the second derivative of -m*g**6 + 0 + 27/100*g**5 - 9/20*g**4 + 0*g**3 - 4*g + 0*g**2 + 1/210*g**7. Factor v(k).
k**2*(k - 3)**3/5
Let n(k) be the second derivative of -k**4/3 + 6*k**3 + 440*k**2 + 2788*k. Solve n(u) = 0.
-11, 20
Suppose -10*a + 29 = -61. Find x, given that -150*x**3 - 90*x + 45 - 228*x**2 + 84*x - 36*x - a*x**4 = 0.
-15, -1, 1/3
Let o(l) be the second derivative of -4*l + 7 - 1/150*l**4 + 0*l**3 + 9/25*l**2. Factor o(p).
-2*(p - 3)*(p + 3)/25
Suppose u - 19 - 15 = -4*t, -2*t + 38 = 2*u. Factor -1/4*i**t + 1/2*i**4 - 1/2 + 1/2*i**3 + 7/4*i - 2*i**2.
-(i - 1)**4*(i + 2)/4
Factor 9*i**3 + 12*i - 241*i - 65*i + 216 - 51*i**2.
3*(i - 9)*(i + 4)*(3*i - 2)
Let a(p) be the second derivative of 2*p**6/15 - 73*p**5/5 - 51*p**4 + 150*p**3 - 2064*p. Suppose a(v) = 0. What is v?
-3, 0, 1, 75
Let u be ((-19)/(-4) - 1) + (-8)/(-32). Find r such that -r**2 + u*r + 14443 - 14443 = 0.
0, 4
Let v(o) be the first derivative of o**6/30 - 34*o**5/25 + 91*o**4/20 + 74*o**3/15 - 38*o**2 + 248*o/5 - 12993. Find j such that v(j) = 0.
-2, 1, 2, 31
Let z(l) be the third derivative of 3*l**4 + 0*l + 23/20*l**5 - 72*l**3 + 0 - 1/70*l**7 - 1/20*l**6 + 26*l**2. Find b, given that z(b) = 0.
-4, 3
Find j such that 6/11*j**4 + 10*j**3 - 108/11*j + 224/11 - 230/11*j**2 - 2/11*j**5 = 0.
-7, -1, 1, 2, 8
Let v = 25 + -10. Let r(g) = -7*g**2 + 9*g + 5. Let p(l) = 3*l**2 - 4*l - 2. Let f(h) = 4*h + 18. Let c be f(-3). Let n(d) = c*r(d) + v*p(d). Factor n(t).
3*t*(t - 2)
Let -252*i**5 - 160*i - 123*i**4 + 177*i**5 + 60 - 5*i**2 + 235*i**3 + 68*i**4 = 0. Calculate i.
-2, -1, 3/5, 2/3, 1
Let s(o) be the first derivative of -4*o**3/21 - 3708*o**2/7 - 3437316*o/7 - 327. Factor s(g).
-4*(g + 927)**2/7
Let t be (-52)/(-104)*(19 + -1). Determine s, given that 2 - 2*s + 7*s + 3*s**3 + t*s**2 + 1 + 0 + 4*s = 0.
-1
Let k(g) = g**3 + 3*g**2 - 1. Let a be k(-2). Let l = a + 1. Let 17*r**3 - 3*r**2 - r**4 + 7*r**l - r**3 + 9*r**2 - 4*r = 0. Calculate r.
-2, -1, 0, 1/3
Let u(m) = 5*m**2 + 89*m - 2119. Let l(c) = -3*c**2 - 90*c + 2118. Suppose 21*w + 2 = 65. Let b(j) = w*l(j) + 2*u(j). Factor b(r).
(r - 46)**2
Let z = 70106 + -70106. Suppose 1/2*s**5 + z*s + s**4 - 1/2*s**3 + 0 - s**2 = 0. Calculate s.
-2, -1, 0, 1
Let f(y) be the first derivative of 3*y**7/28 - 13*y**6/20 - 29*y**5/40 - 5*y**4/24 + 177*y - 90. Let g(j) be the first derivative of f(j). Factor g(o).
o**2*(o - 5)*(3*o + 1)**2/2
Let q be 8/(-16)*0/(-12 - -20 - 4). Let r be (2/12)/((-2)/(-8)). Suppose -r*p**3 + q + 4/3*p**2 - 2/3*p = 0. What is p?
0, 1
Suppose -2*a + 3*x = -21, 3*a - x - 14 = -0*x. Solve -19*h + 18 - 20*h**2 + 18*h + 2*h**4 + 16*h**a - 15*h = 0.
-9, -1, 1
Let r(y) be the second derivative of -y**7/630 + y**5/180 + 98*y**2 + 2*y - 17. Let n(c) be the first derivative of r(c). Factor n(u).
-u**2*(u - 1)*(u + 1)/3
Let o = -136750/21 + 6512. Let w(n) be the second derivative of 0 - 1/21*n**4 + 2/105*n**6 + o*n**3 + 0*n**2 - 5*n - 1/35*n**5. Factor w(s).
4*s*(s - 1)**2*(s + 1)/7
Suppose 3*u = -4*f - 271, f = -74*u + 77*u - 79. Let l be f/21 + -12*(-4)/8. Factor 0*i - 4/3*i**3 + 0 - 4/3*i**4 + l*i**2.
-4*i**2*(i - 1)*(i + 2)/3
Let o = -261539 + 261539. Factor -8*b - 14/3*b**3 + 32/3*b**2 + 2/3*b**4 + o.
2*b*(b - 3)*(b - 2)**2/3
Determine t, given that -19*t**4 - 833*t**3 + 3000*t**3 + 457*t**4 - 438*t**2 - 18151*t**3 + 7652*t + 8335*t - 3*t**5 = 0.
-1, 0, 1, 73
Let j = -589538/7 - -84220. Factor -8/7*c**3 - j*c**4 + 2/7*c**2 + 8/7*c + 0.
-2*c*(c - 1)*(c + 1)*(c + 4)/7
Let d = -567 - -569. Let b be (-1)/d*(33 - 33). Factor b*y**3 + 3/4*y**4 + 0*y**2 + 0 + 0*y - 9/4*y**5.
-3*y**4*(3*y - 1)/4
Let d(j) be the second derivative of -j**5/40 - 17*j**4/24 + 29*j**3/6 - 10*j**2 + 364*j + 3. Factor d(p).
-(p - 2)*(p - 1)*(p + 20)/2
Find s such that -27 + 1/3*s**2 + 8*s = 0.
-27, 3
Let r = 12062 - 24123/2. Suppose -4*v + 7 = -1. Factor -r*s**v + 0 + 1/2*s.
-s*(s - 1)/2
Let y be (810/540)/(0 + 1). Let x(s) be the second derivative of 0 - 1/10*s**6 - 18*s + 2*s**3 - y*s**2 - 3/2*s**4 + 3/5*s**5. Solve x(r) = 0 for r.
1
Let o(n) be the third derivative of -n**7/210 - 21*n**6/4 - 99853*n**5/60 - 16485*n**4/2 - 49298*n**3/3 + 2*n**2 - 258. Factor o(j).
-(j + 1)**2*(j + 314)**2
Let x(z) be the first derivative of -5*z**4/12 + 20*z**3/3 - 40*z**2 - 5*z - 68. Let i(g) be the first derivative of x(g). Let i(v) = 0. Calculate v.
4
Factor -35/3 - 1/3*k**2 + 37/3*k - 1/3*k**3.
-(k - 5)*(k - 1)*(k + 7)/3
Let 85*t - 135*t**3 + 242*t + 88*t**3 + 44*t**3 + 1224 - 36*t**2 = 0. What is t?
-17, -3, 8
Suppose 0 = 4*q - 1 + 21. Let c(x) be the first derivative of -x**3/3 - 25*x**2/2 - 24*x - 1897. Let w(r) = 12*r + 12. Let v(m) = q*w(m) - 2*c(m). Factor v(y).
2*(y - 6)*(y + 1)
Let d = 711/14 + -2077/42. Let f = 51 + -48. Factor q**f - d*q - 4/3 + 5/3*q**2.
(q - 1)*(q + 2)*(3*q + 2)/3
Let j(c) be the first derivative of 2/15*c**3 + 6*c - 55 - 8/5*c**2. Suppose j(z) = 0. What is z?
3, 5
Let h be 2/6 - (9*14/(-21))/((-222)/(-74)). Factor -4/3*b + 0 - 1/6*b**4 - h*b**2 - 7/6*b**3.
-b*(b + 1)*(b + 2)*(b + 4)/6
Let i(d) be the second derivative of 