*4 + 0.
3*h*(h + 1)*(h + 4)**2/5
Suppose -4*n + 20 = p, 3*p - n - 16 = -2*n. Suppose 0 = -g + 2*u, -4*g + 2*u + 5 = -1. Determine s, given that 17*s**2 - g*s**p - 18*s**2 + 3*s**4 = 0.
-1, 0, 1
Let j(y) be the third derivative of -y**5/12 - 55*y**4/24 - 20*y**3 - 2*y**2 + 60. Solve j(c) = 0 for c.
-8, -3
Let j(a) = 2*a + 12. Let w be j(5). Suppose -4*g + w - 14 = 0. Factor 4*o**2 + 1 - 5*o**g - 4*o - 5.
-(o + 2)**2
Let v(x) be the third derivative of -x**5/100 - 17*x**4/60 + 4*x**3/5 - 24*x**2. Factor v(o).
-(o + 12)*(3*o - 2)/5
Suppose -3*g + 4*p + 31 = 0, 2*g + 6 = -3*p - p. Factor -7 + 4*q**4 - 1 - 17*q + g*q - 4*q**2 + 8*q**2 + 12*q**3.
4*(q - 1)*(q + 1)**2*(q + 2)
Let t(c) be the second derivative of c**5/210 + c**4/28 + 2*c**3/21 - 15*c**2/2 - 8*c. Let m(r) be the first derivative of t(r). Factor m(i).
2*(i + 1)*(i + 2)/7
Let r(o) be the third derivative of -o**6/320 - o**5/160 + 3*o**4/16 - 174*o**2. Solve r(q) = 0 for q.
-4, 0, 3
Let f(j) be the third derivative of -1/420*j**7 + 0*j**3 + 0 + 1/24*j**5 - 15*j**2 + 0*j - 1/16*j**4 - 1/240*j**6. What is i in f(i) = 0?
-3, 0, 1
Let i(u) be the second derivative of u**4/6 - u**3/3 + 3*u**2/2 + 27*u. Let g(q) = -q**2 - 1. Let h(n) = 6*g(n) + 2*i(n). Suppose h(v) = 0. Calculate v.
-2, 0
Factor 32/3*b - 128/3 - 2/3*b**2.
-2*(b - 8)**2/3
Let b(q) = -q**2 - 168*q - 1620. Let j(f) = -10*f**2 - 1845*f - 17820. Let t(z) = -45*b(z) + 4*j(z). Factor t(k).
5*(k + 18)**2
Let j be (1/2)/(-3 + 162/36). Determine r, given that -4/3*r - 1 - j*r**2 = 0.
-3, -1
Find y such that 205 + 4*y**2 - 102*y + 17 + 645 - y**2 = 0.
17
Let x(m) be the third derivative of m**6/90 - 2*m**5/3 + 50*m**4/3 - 2000*m**3/9 + 6*m**2. Suppose x(b) = 0. What is b?
10
Let f(c) be the first derivative of c**3/18 - 7*c**2/12 + c + 21. Factor f(j).
(j - 6)*(j - 1)/6
Factor 2/3*l**2 - 8/3 + 2*l.
2*(l - 1)*(l + 4)/3
Let k(s) = -2*s**4 - s**3 - s. Let b(n) = -3*n**5 - 3*n**4 + 138*n**3 + 81*n**2 - 1941*n + 2916. Let u(t) = -b(t) - 3*k(t). What is q in u(q) = 0?
-6, 3
Suppose -4*m + 5*y + 49 = 0, -5*m + m + y + 29 = 0. Solve 11*z - 21*z**2 - 2*z + m*z - 4*z**2 + 10 = 0.
-2/5, 1
Find v, given that -6/5*v**2 - 2/5*v**3 + 2/5*v + 6/5 = 0.
-3, -1, 1
Let o(l) = l. Let p(u) be the second derivative of u**4/4 + u**3/3 - 3*u**2/2 + 8*u. Let k(v) = 2*o(v) - p(v). What is d in k(d) = 0?
-1, 1
Let z(h) be the first derivative of -5/4*h**4 - 44 + 0*h + 0*h**2 + h**5 - 5/3*h**3 + 5/6*h**6. What is s in z(s) = 0?
-1, 0, 1
Suppose 0 = 18*z + 184 - 58. Let v be (7 - 3)*z/(-49). Determine a so that -2/7 - v*a - 2/7*a**2 = 0.
-1
Let v = 46149 - 276889/6. Factor 1 + 1/6*b**2 + v*b.
(b + 2)*(b + 3)/6
Let f(p) be the second derivative of p**6/45 + 11*p**5/30 + 5*p**4/9 - 35*p - 8. Factor f(o).
2*o**2*(o + 1)*(o + 10)/3
Suppose 5*x + 29 = 89. Solve -8*c**2 + x*c**2 - 10*c**3 - c**4 - 2*c**5 + 9*c**4 = 0 for c.
0, 1, 2
Factor -26*u**2 + 54*u - 52*u**2 - 174 + 61*u - 3*u**3 + 8*u + 132*u.
-3*(u - 2)*(u - 1)*(u + 29)
Let j(y) = -y**3 - 20*y**2 - 39*y - 52. Let c be j(-18). Let n(f) be the second derivative of -5*f + 0*f**c + 1/4*f**4 + 0 + 3/20*f**5 + 0*f**3. Factor n(z).
3*z**2*(z + 1)
Factor 2*f**3 + 1/3*f**5 + 5/3*f**4 + 0 - 8/3*f - 4/3*f**2.
f*(f - 1)*(f + 2)**3/3
Let a = -23528 - -23530. Factor 2*b - 1/2*b**a + 6.
-(b - 6)*(b + 2)/2
Let q(a) be the third derivative of -a**6/30 - 2*a**5/5 + 7*a**4/6 - 81*a**2 + 2*a. Factor q(k).
-4*k*(k - 1)*(k + 7)
Let d(n) = -n**2 - 2*n + 11. Let m be d(-5). Let k = m - -5. What is o in 1 - 2*o + 4*o - k + 2*o**2 = 0?
-1, 0
Let q(z) be the second derivative of -8/9*z**3 - 16/3*z**2 + 0 + 1/15*z**5 + 2/3*z**4 - z - 2/45*z**6. Suppose q(f) = 0. Calculate f.
-2, -1, 2
Let s = 5992/15 - 1994/5. Factor -16/3 + s*n**3 + 8*n - 4*n**2.
2*(n - 2)**3/3
Let f = 43 + -46. Let o be ((-2)/f)/(14/63). Factor 2/5*u**o - 1/5*u**4 + 0 - 1/5*u**2 + 0*u.
-u**2*(u - 1)**2/5
Let i(a) be the second derivative of 484*a**6/15 + 110*a**5 + 757*a**4/6 + 50*a**3 + 9*a**2 + 39*a + 4. Factor i(t).
2*(t + 1)**2*(22*t + 3)**2
Suppose -5*z - 2 = -3*z. Let y(f) = -2*f - 4. Let k(x) = x**2 + x - 1. Let r(q) = z*y(q) + 2*k(q). Factor r(h).
2*(h + 1)**2
Find m such that -15*m + 19 + m**2 + 10 - 13 + 5*m = 0.
2, 8
Let n(d) = 9*d**3 + 25*d**2 - 9*d - 30. Let a(o) = -10*o**3 - 22*o**2 + 10*o + 28. Let b(c) = -5*a(c) - 6*n(c). Find i such that b(i) = 0.
-10, -1, 1
Suppose -5 + 0 = 5*r + 5*q, 4*q + 32 = 3*r. Suppose r*c**4 - 647*c - 4*c**3 - 8*c**2 + 647*c = 0. What is c?
-1, 0, 2
What is q in -530/9*q**2 - 2948/3*q - 8/9*q**3 - 242 = 0?
-33, -1/4
Let b be -5 + -2*(-10654)/4260. Let m = 15967/4260 + b. Let 0 + 5/4*v**2 - m*v = 0. Calculate v.
0, 3
Let b be (-6)/(-4) + (-1)/(-2). Let p be 7/b - 6/4. Factor y - y**p - y**3 + 4*y**2 - 3*y.
-y*(y - 2)*(y - 1)
Factor 2/5*z**2 + 34/5*z + 32/5.
2*(z + 1)*(z + 16)/5
Let y(x) = x**2 + 5*x + 8. Suppose -8*w - 10 = -3*w. Let q be y(w). Factor 4/7*j + 2/7*j**q - 2/7*j**3 + 0.
-2*j*(j - 2)*(j + 1)/7
Let w(g) be the second derivative of -3/16*g**4 + 1/80*g**5 + 1/40*g**6 - 1/4*g**2 - 9*g - 3/8*g**3 + 0. Factor w(t).
(t - 2)*(t + 1)**2*(3*t + 1)/4
Let t(g) be the third derivative of g**5/20 - 199*g**4/8 - 100*g**3 + 348*g**2. Suppose t(o) = 0. What is o?
-1, 200
Let j be (18 - 15) + -1 + 0. Solve -5*w**2 + w**j - 16*w + 0*w + 4 - 16 = 0 for w.
-3, -1
Let r(n) be the third derivative of -n**5/48 + 65*n**4/96 - 5*n**3/2 + 6*n**2 + 4. Find p such that r(p) = 0.
1, 12
Let s(w) be the first derivative of 1/3*w**3 + 0*w + 1/16*w**4 + 17 + 1/2*w**2. Solve s(q) = 0.
-2, 0
Let h(z) be the third derivative of -z**8/168 - 13*z**7/84 - 22*z**6/15 - 11*z**5/2 - 3*z**4 - 83*z**2 - 4. Let h(w) = 0. Calculate w.
-6, -4, -1/4, 0
Let l(p) be the third derivative of p**8/6720 + p**7/420 + p**6/80 + p**5/6 + 3*p**2. Let i(a) be the third derivative of l(a). Factor i(f).
3*(f + 1)*(f + 3)
Let g(m) be the second derivative of m**4/18 + 20*m**3/9 + 17*m**2 + 3*m - 80. Factor g(y).
2*(y + 3)*(y + 17)/3
Let f be (-2)/(-2) - (-156)/(-160). Let z(i) be the second derivative of 0*i**2 + 6*i + 0 + 0*i**3 + 1/12*i**4 + f*i**5. Suppose z(m) = 0. Calculate m.
-2, 0
Factor 345/4*q + 3/2*q**4 + 28 + 181/2*q**2 - 1/4*q**5 + 34*q**3.
-(q - 16)*(q + 1)**3*(q + 7)/4
Let p(r) = 5*r**2 - 2*r + 1. Let y = 147 - 150. Let a(o) = 4*o**2 - o + 1. Let w(c) = y*p(c) + 4*a(c). Factor w(z).
(z + 1)**2
Let z be 22/6 - (-5)/(-3). Let p(k) be the first derivative of -7/10*k**4 + 0*k + 0*k**3 + 4/5*k**z - 3 + 6/25*k**5. Determine y, given that p(y) = 0.
-2/3, 0, 1, 2
Suppose 3*o = 2*o + 5. Suppose -3*z = -3*d, -o*z = -3*d - d. Factor 7*l**2 + l + z + 49/4*l**3.
l*(7*l + 2)**2/4
Let m(i) = i**5 - 7*i**4 - 7*i**3 + 8*i**2 - 12*i + 2. Let g(l) = -l**5 + 8*l**4 + 8*l**3 - 8*l**2 + 13*l - 2. Let x(r) = 5*g(r) + 6*m(r). Factor x(z).
(z - 1)**4*(z + 2)
Let l(d) be the first derivative of 5*d**4/4 + 365*d**3/3 - 745*d**2/2 + 375*d + 295. Suppose l(i) = 0. What is i?
-75, 1
Suppose 4*z - d - 118 - 18 = 0, 4*d - 156 = -4*z. Factor -10 - 47*y**2 + y**2 + 10*y**3 - 5*y**5 + 10*y**4 + z*y + 6*y**2.
-5*(y - 1)**4*(y + 2)
Determine a so that -3/5*a**4 - 138/5*a**2 + 216/5 + 39/5*a**3 + 36/5*a = 0.
-1, 2, 6
Let f(p) be the third derivative of -1/390*p**6 + 1/156*p**4 + 0 + 0*p + 0*p**3 - 1/390*p**5 - 14*p**2. Factor f(w).
-2*w*(w + 1)*(2*w - 1)/13
Let t(q) be the first derivative of -q**4 + 4*q**3/3 + 18*q**2 - 36*q - 78. Factor t(b).
-4*(b - 3)*(b - 1)*(b + 3)
Let m(l) = 5*l**4 - 58*l**3 + 54*l**2 + 60*l - 57. Let z(q) = 6*q**4 - 57*q**3 + 54*q**2 + 60*q - 57. Let x(k) = -3*m(k) + 2*z(k). Factor x(o).
-3*(o - 19)*(o - 1)**2*(o + 1)
Let z be 118/(-120)*1 - 95/(-76). Let g(r) be the first derivative of z*r**3 + 3/5*r**4 - 1/2*r**2 - 2/5*r - 7. Factor g(v).
(2*v + 1)**2*(3*v - 2)/5
Let z(g) = 21*g**2 - 924*g + 69306. Let t(w) = 24*w**2 - 926*w + 69305. Let h(b) = 6*t(b) - 7*z(b). Suppose h(d) = 0. What is d?
152
Suppose -9 = -4*n - 1. Suppose 6*o = n*o. Find z such that -z**4 + 0*z**3 + o*z**3 + 5*z**5 - z**4 = 0.
0, 2/5
Let x(h) = 2*h**4 + h**2 + 4*h + 1. Let i(j) = 8*j**4 + j**3 - 5*j**2 + 3*j + 1. Let u(v) = i(v) - x(v). Suppose u(c) = 0. Calculate c.
-1, -1/6, 0, 1
Factor 344/5*m**3 + 324/5*m + 4/5*m**5 - 96/5*m**4 - 496/5*m**2 - 16.
4*(m - 20)*(m - 1)**4/5
Let o(r) be the second derivative