tor l(v).
v*(v - 3)*(v - 2)*(v - 1)/2
Let u be 1 - (4 - (2 + 1 + 4)). Find c such that 0 + 0*c**2 + 1/5*c**5 + 1/5*c**3 + 2/5*c**u + 0*c = 0.
-1, 0
Let v(i) be the third derivative of -1/6*i**4 + 0*i**3 + 1/15*i**5 + 0*i + 1/6*i**6 + 2/35*i**7 - i**2 + 0. Solve v(z) = 0.
-1, 0, 1/3
Let b(k) be the first derivative of -k**4 - 16*k**3/3 + 22*k**2 - 24*k + 21. Suppose b(l) = 0. What is l?
-6, 1
Let x(h) be the first derivative of -h**5/40 + h**4/24 + h**3/12 - h**2/4 + h + 2. Let j(k) be the first derivative of x(k). Factor j(b).
-(b - 1)**2*(b + 1)/2
Let b(d) be the third derivative of -d**9/4032 + d**8/840 - d**7/1680 - d**6/120 + d**5/20 - d**2. Let n(p) be the third derivative of b(p). Factor n(l).
-3*(l - 1)**2*(5*l + 2)
Let k(i) be the third derivative of -7*i**8/12 - 2*i**7/5 + 4*i**6/5 - 4*i**5/15 + 17*i**2. Find x such that k(x) = 0.
-1, 0, 2/7
Suppose 5*m + 8 = -2*l, 2*l + 8 = 3*m - 0. Let q be 1 + (m + 0 - -3). Factor -i**2 + 4 - i**2 + 3*i**2 + q*i.
(i + 2)**2
Let a(v) be the first derivative of 2*v**5/5 + v**4 + 48. Determine o, given that a(o) = 0.
-2, 0
Suppose -4*j**3 - 8*j**2 + j**3 + 2*j**2 - 3*j = 0. What is j?
-1, 0
Suppose 25/6*c**2 + 8/3 + 20/3*c = 0. What is c?
-4/5
Let w = -1603 - -17641/11. Factor 2/11*t**2 + w*t + 8/11.
2*(t + 2)**2/11
Find d such that 27/2 + 9/2*d + 3/2*d**3 - 15/2*d**2 = 0.
-1, 3
Let f(x) be the second derivative of 2*x**6/15 - x**5/5 + x**4/8 - x**3 + 7*x. Let r(m) be the second derivative of f(m). Factor r(t).
3*(4*t - 1)**2
Let o be (9 - 6) + 178/(-64). Let l = 277/96 - o. Factor 4/3*y**4 - l*y**2 - 8/3*y + 2*y**3 + 0 - 2/3*y**5.
-2*y*(y - 2)**2*(y + 1)**2/3
Let x(u) be the third derivative of -u**5/20 + 2*u**3 - 14*u**2. Factor x(v).
-3*(v - 2)*(v + 2)
Let r be 1*8/(-12) - 4/(-4). Let n(y) be the third derivative of -r*y**3 - 1/3*y**4 - 1/15*y**6 + 0*y - 1/105*y**7 + 0 - 2*y**2 - 1/5*y**5. Factor n(u).
-2*(u + 1)**4
Let s be 14/8 + (-30)/8 + 4. Let l + 0 - 7/2*l**s = 0. Calculate l.
0, 2/7
Factor -4/3*v**2 - 196/3 + 56/3*v.
-4*(v - 7)**2/3
Let s = 3 - 1. Factor -2*v - 20*v**5 + 24*v**5 + 4*v**4 + s*v.
4*v**4*(v + 1)
Let t(i) = -3*i**2 + 4*i + 8. Let v be (-3 + 9)*4/6. Let q(a) = -2*a**2 + 4*a + 7. Let j(s) = v*q(s) - 3*t(s). Let j(x) = 0. Calculate x.
-2
Let n(t) be the second derivative of 4/3*t**3 + 0*t**2 + 0 + 4*t + 81/10*t**5 + 6*t**4. Factor n(r).
2*r*(9*r + 2)**2
Let m(u) be the first derivative of 5 - 5/6*u**6 - 1/3*u**3 + 13/5*u**5 + 0*u - 9/4*u**4 + u**2. What is k in m(k) = 0?
-2/5, 0, 1
Let m(k) be the second derivative of 3*k**6/10 + 6*k**5/5 + 7*k**4/4 + k**3 + 4*k. Factor m(w).
3*w*(w + 1)**2*(3*w + 2)
Let w(f) = -4*f - 2*f**4 + 4 + 2*f**3 + 7*f**5 + f**3 + 0. Let m(q) = -15*q**5 + 3*q**4 - 6*q**3 + 9*q - 9. Let v(t) = -4*m(t) - 9*w(t). Factor v(n).
-3*n**3*(n - 1)**2
Let t(f) be the third derivative of f**6/30 - f**5/3 + f**4/2 + 6*f**3 + 11*f**2. Determine k so that t(k) = 0.
-1, 3
Factor 3/4*r - 3/4*r**2 + 0.
-3*r*(r - 1)/4
Let j(k) be the first derivative of -4*k**5/15 + 2*k**4/3 - 4*k**2/3 + 4*k/3 - 1. Factor j(l).
-4*(l - 1)**3*(l + 1)/3
Suppose 59*f**2 + 1069*f - 694*f + 5*f**3 + 16*f**2 + 625 = 0. Calculate f.
-5
Let q be (18/(-2) + 6)/(5 - 6). Factor 0 + 0*p - 2/7*p**2 + 8/7*p**q.
2*p**2*(4*p - 1)/7
Suppose 12*d - 15*d = 0. Let s(k) be the second derivative of 1/20*k**5 + 0 + k + d*k**2 + 1/12*k**3 - 1/8*k**4. Factor s(v).
v*(v - 1)*(2*v - 1)/2
Let w be (-8)/(-48) - 46/(-12). Let f(z) be the third derivative of 2*z**2 + 1/30*z**5 + 0 + 0*z - 1/6*z**w + 1/3*z**3. Factor f(i).
2*(i - 1)**2
Let w be (-6)/(-3) - (6 - 1). Let q(m) = 5*m**3 + m**2 + 2*m + 3. Let r(l) = 6*l**3 + 2*l + 4. Let v(y) = w*r(y) + 4*q(y). Find d such that v(d) = 0.
-1, 0
Let a(x) be the first derivative of x**5/150 - x**4/30 + x**2/2 + 2. Let o(y) be the second derivative of a(y). Determine v, given that o(v) = 0.
0, 2
Let t(o) be the first derivative of -2*o**3/15 + 3*o**2/5 - 4*o/5 + 15. Factor t(m).
-2*(m - 2)*(m - 1)/5
Let s(x) be the second derivative of x**5/60 + 11*x**4/36 + 35*x**3/18 + 25*x**2/6 - 5*x. Factor s(w).
(w + 1)*(w + 5)**2/3
Let z = 1351/18 + -75. Let n(r) be the third derivative of 0*r + 0 - 3*r**2 + 11/180*r**5 - 1/20*r**6 + 0*r**4 + 4/315*r**7 - z*r**3. What is v in n(v) = 0?
-1/4, 1/2, 1
Find j such that -4*j**2 - 6 + 0*j**2 - 6*j + 4 = 0.
-1, -1/2
Factor -4*h**2 + 2*h**3 + 3*h**4 - 3*h**2 - h + 3 - 3*h**2 + 4*h**2 - h**5.
-(h - 3)*(h - 1)**2*(h + 1)**2
Let o(k) be the third derivative of 0*k + 0*k**4 - 2*k**2 + 1/105*k**7 + 0*k**5 + 0*k**3 + 1/336*k**8 + 0 + 1/120*k**6. Factor o(u).
u**3*(u + 1)**2
Let k(v) be the first derivative of 1/4*v**4 + 2/9*v**3 + 0*v**2 - 1/18*v**6 + 0*v - 3 + 0*v**5. Let k(b) = 0. What is b?
-1, 0, 2
Let l(a) = -3*a - 4. Let k be l(-4). Let f = 10 - k. Factor f*y**2 + 4/3*y + 1/3*y**4 + 1/3 + 4/3*y**3.
(y + 1)**4/3
Let l(d) = 6*d**5 + 13*d**4 + 8*d**3 + 2*d**2 - 2. Let r(f) = -f**4 + f**3 + f**2 - 1. Let c(i) = -l(i) + 2*r(i). Determine m so that c(m) = 0.
-2, -1/2, 0
Suppose -2*f + 4 = 2. Let i be (f + -5)*(1 - 2). Factor 0 - 2/9*h**i + 2/9*h**2 + 2/9*h**3 + 0*h - 2/9*h**5.
-2*h**2*(h - 1)*(h + 1)**2/9
Solve -12/5*v**3 + 0 - 3/5*v**5 - 1/5*v + 2*v**4 + 6/5*v**2 = 0.
0, 1/3, 1
Let g be (1/3)/(2/(-12)). Let p(o) = 5*o**2 + 11. Let c(q) = q**2 + 2. Let w(l) = g*p(l) + 11*c(l). Factor w(v).
v**2
Let p(n) be the first derivative of 1/2*n**2 + 1/12*n**4 - 1/3*n**3 + 5 - 1/3*n. Let p(b) = 0. Calculate b.
1
Let q be (((-60)/33)/(-5))/((-10)/(-20)). Factor 24/11*x**3 + 0*x + 0 - 18/11*x**4 - q*x**2.
-2*x**2*(3*x - 2)**2/11
Let b(d) be the third derivative of -d**7/630 + d**6/180 - d**5/180 + d**2. Factor b(q).
-q**2*(q - 1)**2/3
Let b(z) = 6*z - 44. Let m be b(8). Let o(f) be the third derivative of f**2 - 2/5*f**3 - 49/200*f**6 + 0 - 21/100*f**5 + 0*f + 3/5*f**m. Factor o(w).
-3*(w + 1)*(7*w - 2)**2/5
Suppose 1/8*b**5 - 1/4*b**2 + 0 + 0*b**3 + 1/4*b**4 - 1/8*b = 0. What is b?
-1, 0, 1
Let p(m) be the third derivative of -m**9/30240 - m**8/4480 - m**7/1680 - m**6/1440 - m**4/12 - 5*m**2. Let o(n) be the second derivative of p(n). Factor o(q).
-q*(q + 1)**3/2
What is v in 2/17*v**2 + 0 + 0*v = 0?
0
Let -1/5*f - 2/5 + 1/5*f**2 = 0. What is f?
-1, 2
Suppose 3*v + 4 = -5*r + 13, -5*r + 6 = 2*v. What is w in -5*w + v - 2 + w**2 + w + 3 = 0?
2
Let s(c) = -c**2 - 4*c + 7. Let o be s(-5). Suppose 0 = -2*d + 4*j + 14, -3*d + 0*j + 13 = -o*j. Factor 2/3*k**2 - 2/3*k**4 + 0*k + 0*k**d + 0.
-2*k**2*(k - 1)*(k + 1)/3
Let u(q) be the second derivative of 15*q**7/49 + 51*q**6/35 + 199*q**5/70 + 41*q**4/14 + 12*q**3/7 + 4*q**2/7 + 6*q. What is m in u(m) = 0?
-1, -2/3, -2/5, -1/3
Let b(i) be the third derivative of 0 + 7*i**2 + 1/168*i**4 - 1/420*i**5 + 0*i + 0*i**3. Factor b(g).
-g*(g - 1)/7
Let n(j) be the first derivative of -1/48*j**6 + 0*j**2 + 0*j**3 + 0*j**5 + 0*j + 2 + 1/32*j**4. Let n(c) = 0. Calculate c.
-1, 0, 1
Let a(v) be the second derivative of -v**5/100 + v**4/60 + v**3/30 - v**2/10 + v. Let a(i) = 0. Calculate i.
-1, 1
Suppose h - 14 = -2*i, -5*i = -h - i + 20. Suppose -11 + 10*c**3 - 8*c + 11 - h*c**2 = 0. Calculate c.
-2/5, 0, 2
Let h = -6 + 15. Let c(z) = -3*z**4 + 9*z**2 - 3*z - 9. Let j(q) = q + 1. Let r(w) = h*j(w) + c(w). Factor r(m).
-3*m*(m - 2)*(m + 1)**2
Let i = -16 + 13. Let m(s) = 2*s**3 - s**3 - 2*s**3 - s**2 + 5*s. Let r(y) = 2*y**3 - 6*y. Let n(t) = i*r(t) - 4*m(t). Factor n(c).
-2*c*(c - 1)**2
Let p(g) be the third derivative of -g**5/20 + 7*g**4/24 - 4*g**3/3 - 4*g**2. Let v(n) = -n - 1. Let z(w) = p(w) - 2*v(w). Let z(t) = 0. Calculate t.
1, 2
Let o(v) be the second derivative of -3*v**5/100 + v**4/20 - 5*v. Factor o(j).
-3*j**2*(j - 1)/5
Let a(v) = -v**3 - 4*v**2 + 2*v - 5. Let x be a(-5). Factor 5*m**5 + 7*m**3 - x*m**3 + 3*m**4 - 3*m**2 - 2*m**5.
3*m**2*(m - 1)*(m + 1)**2
Let f(o) be the first derivative of o**4/20 - o**3/15 + 4. Solve f(h) = 0.
0, 1
Determine w so that 2*w**3 + 2/3*w**4 + 2*w**2 + 0 + 2/3*w = 0.
-1, 0
Let a(s) be the third derivative of s**5/90 - s**4/18 - s**3/3 - 2*s**2. Determine y so that a(y) = 0.
-1, 3
Suppose 0 + 1/3*v**3 + 1/3*v**5 - v**2 - 2/3*v + v**4 = 0. Calculate v.
-2, -1, 0, 1
Suppose 0*n + 2/9*n**3 + 4/9*n**2 + 0 - 2/9*n**4 = 0. What is n?
-1, 0, 2
Let z = -428 - -34241/80. Let m(q) be the second deriv