t - 3/2*t**4. Factor l(s).
-s*(s - 1)**4
Let i(p) be the second derivative of -p**7/420 + p**6/80 - p**5/120 - p**4/16 + p**3/6 - p**2 + 3*p. Let c(r) be the first derivative of i(r). Factor c(h).
-(h - 2)*(h - 1)**2*(h + 1)/2
Let d(l) = l + 1. Let p be d(1). Factor i**p - 7 + 11 - 5.
(i - 1)*(i + 1)
Let u(f) be the third derivative of f**8/1512 - f**7/189 + f**6/135 - 35*f**2. Solve u(y) = 0 for y.
0, 1, 4
Let y(o) be the first derivative of o**7/420 + 2*o**3/3 + 2. Let b(p) be the third derivative of y(p). Suppose b(i) = 0. Calculate i.
0
Let s = 4 + -1. Factor 9*n**s + n**5 + 0*n**5 - 11*n**3 + n.
n*(n - 1)**2*(n + 1)**2
Let x(k) be the first derivative of -k**6/6 - k**5/5 + k**4/2 + 2*k**3/3 - k**2/2 - k + 11. Determine d so that x(d) = 0.
-1, 1
Let y(q) be the third derivative of -4*q**7/1155 + q**6/132 - q**5/330 - 3*q**2. Determine f so that y(f) = 0.
0, 1/4, 1
Let r be (-2 + (6 - 2))/(9 + -5). Let g(u) be the second derivative of 1/4*u**4 + 3*u + 0 + 1/2*u**3 + r*u**2 + 1/20*u**5. Solve g(a) = 0.
-1
Let w(o) be the third derivative of o**6/20 - o**5/20 + o**3/2 - 3*o**2. Let k(l) = l**3 - l**2 + 1. Let u(v) = -3*k(v) + w(v). Find c such that u(c) = 0.
0
Let b(r) be the second derivative of -r**6/120 + r**5/10 - r**4/2 + r**3/6 - 6*r. Let m(h) be the second derivative of b(h). Factor m(p).
-3*(p - 2)**2
Let g = 28/15 + -4/15. Suppose -2/5*h**3 + g*h**2 - 8/5*h + 0 = 0. What is h?
0, 2
Let b(q) = 7*q**3 + 8*q**2 + 15*q + 4. Let u(a) = 3*a**3 + 4*a**2 + 7*a + 2. Let c(v) = -6*b(v) + 15*u(v). Suppose c(p) = 0. What is p?
-2, -1
Suppose 82 = 3*f + 76. Factor 0 - 3/2*r + 3/2*r**f.
3*r*(r - 1)/2
Let p(l) be the third derivative of -1/8*l**4 + 0 - l**3 - 4*l**2 + 0*l + 1/20*l**5. Factor p(x).
3*(x - 2)*(x + 1)
Let r(v) be the third derivative of v**7/10080 + v**6/1440 + v**5/480 + v**4/8 + v**2. Let n(m) be the second derivative of r(m). Find y, given that n(y) = 0.
-1
Let p(q) be the third derivative of -5*q**4/24 - q**2. Let v be p(-1). What is u in -2*u**v - u**5 + 2*u**4 + 5*u**5 = 0?
-1, 0
Suppose 27 = g - 2*g. Let r be 2/4*(-18)/g. Factor -1/3*i**3 + i**2 + 1/3*i - 2/3 - r*i**4.
-(i - 1)**2*(i + 1)*(i + 2)/3
Let b = 4/35 - -19/140. Let w = 0 - -2. Solve 1 + b*y**w + y = 0 for y.
-2
Let i(c) be the first derivative of 7*c**4/24 + 5*c**3/12 - c**2/2 - 2*c + 2. Let t(w) be the first derivative of i(w). Find b, given that t(b) = 0.
-1, 2/7
Let v(n) = -2*n**5 + 2*n**4 + 4*n**3 + 2*n**2 - 2*n - 2. Let u(a) = 4*a**5 - 5*a**4 - 9*a**3 - 5*a**2 + 5*a + 5. Let i(d) = -2*u(d) - 5*v(d). Solve i(s) = 0.
-1, 0, 1
Let f(a) = -a**2 - 1. Let c(q) = -6*q**2 - 4*q - 2. Let u(v) = c(v) - 2*f(v). Factor u(i).
-4*i*(i + 1)
Let t(i) be the third derivative of -i**5/60 - 7*i**4/24 - 44*i**2. Factor t(v).
-v*(v + 7)
Suppose -2*h + l = -5, 0 = h - 2*l + 6*l - 7. Let s(i) be the second derivative of 1/30*i**4 - 1/5*i**2 + 0*i**h + 2*i + 0. Solve s(a) = 0.
-1, 1
Find o such that 8/3*o**3 + 0 + 2*o**2 - 2*o**4 - 8/3*o**5 + 0*o = 0.
-1, -3/4, 0, 1
Let i = -95 + 97. Suppose -2/3*v**3 + 7/3*v**4 - 4/3*v**5 + 0 - 1/3*v**i + 0*v = 0. What is v?
-1/4, 0, 1
Let m(l) = -11*l**2 + 18*l + 10. Let a(i) = -10*i**2 + 17*i + 9. Suppose -2*w + 4*s + 34 = 4, -2*w - 2 = 4*s. Let y(p) = w*a(p) - 6*m(p). Factor y(z).
-(z - 3)*(4*z + 1)
Let o(j) = j**2 - j. Let l(b) = 7*b**2 + 3*b + 4. Let n(w) = -w**2 - w - 1. Let h(y) = -l(y) - 4*n(y). Let r(v) = h(v) + 2*o(v). Factor r(u).
-u*(u + 1)
Let s be -4*(22/4 - 3). Let a be (-18)/(-40) + 2/s. Factor -1/4*c**4 + 1/4*c**2 + 1/4*c**3 + 0 - a*c**5 + 0*c.
-c**2*(c - 1)*(c + 1)**2/4
Let y(z) be the third derivative of z**8/168 + 2*z**7/105 - z**6/60 - z**5/15 - 6*z**2. Factor y(h).
2*h**2*(h - 1)*(h + 1)*(h + 2)
Let b(i) = i**4 - i**3 + i**2 + i - 1. Let f(p) = -3*p**4 + 3*p**3 - 7*p**2 - 3*p + 5. Let y(j) = 5*b(j) + f(j). Factor y(h).
2*h*(h - 1)**2*(h + 1)
Let b = 314 + -2822/9. Let v = 791/90 + -79/10. Factor b - 10/9*d + v*d**2 - 2/9*d**3.
-2*(d - 2)*(d - 1)**2/9
Let m(z) be the third derivative of z**7/2100 + z**6/300 + z**5/150 - 2*z**3/3 - 2*z**2. Let c(p) be the first derivative of m(p). Factor c(j).
2*j*(j + 1)*(j + 2)/5
Let c(v) = v**2 + 4*v + 7. Let f be c(-2). Find i such that -i**4 - 7/5*i**2 + 9/5*i**f + 0 + 1/5*i**5 + 2/5*i = 0.
0, 1, 2
Suppose -6*g + 18 = -0*g. Factor -27 + g*r**2 + 3*r + 27.
3*r*(r + 1)
Let m be 3 + 7/(-2) + (-9)/(-18). Factor 0*f - 1/2*f**3 + m + 0*f**2.
-f**3/2
Factor 0 + 6/7*c**2 + 4/7*c + 2/7*c**3.
2*c*(c + 1)*(c + 2)/7
Let y(t) = -t**4 + 3*t**3 - 6*t**2 + t - 3. Let l(p) = -p**4 + 3*p**3 - 5*p**2 + p - 2. Suppose -5*v = 5 + 5. Let w(b) = v*y(b) + 3*l(b). Factor w(s).
-s*(s - 1)**3
Suppose -28*w = -2*w. Determine v so that -2/11*v**3 + 0 + w*v - 2/11*v**2 = 0.
-1, 0
Let x(r) be the third derivative of -r**8/1008 - 2*r**7/315 - r**6/120 + r**5/45 + r**4/18 - 41*r**2. Determine q so that x(q) = 0.
-2, -1, 0, 1
Solve 2/3*p**2 - 1/3*p**3 + 0*p + 0 = 0 for p.
0, 2
Let f(g) = -g**3 + 13*g**2 - 33*g + 34. Let x be f(10). Factor x + 55/3*j**2 - 25/3*j**3 + 56/3*j.
-(j - 3)*(5*j + 2)**2/3
Let 6/7 - 2/7*v**2 - 4/7*v = 0. Calculate v.
-3, 1
Let l(z) be the second derivative of -z**6/135 - 2*z**5/45 - z**4/9 - 4*z**3/27 - z**2/9 - 15*z. Factor l(q).
-2*(q + 1)**4/9
Let i = 50 - 48. Let p(k) be the second derivative of -4*k - k**i + 0 - 1/2*k**3 - 1/12*k**4. Factor p(h).
-(h + 1)*(h + 2)
Let f(d) be the third derivative of -d**5/510 + 11*d**4/204 - 10*d**3/51 - 29*d**2. Factor f(r).
-2*(r - 10)*(r - 1)/17
Let z = 8 - 3. Suppose -z*c + 8 = -3*c. Factor -2/7*m**3 + 2/7*m - 2/7*m**2 + 0 + 2/7*m**c.
2*m*(m - 1)**2*(m + 1)/7
Let t be 1/(-4) - (-38)/(-8). Let j = -1 - t. Factor 0*f - 4/7*f**j + 2/7*f**3 + 2/7*f**5 + 0 + 0*f**2.
2*f**3*(f - 1)**2/7
Let y(o) = 3*o**2 + 3*o + 4. Let d(k) be the first derivative of k**3/3 + k + 1. Let h(l) = 2*d(l) - y(l). Factor h(i).
-(i + 1)*(i + 2)
Let a(y) = -y - 3. Let r be a(-6). Let -6*p**4 - 2*p**2 - 8*p**r + 4*p**3 + 4*p**4 = 0. What is p?
-1, 0
Let k(d) be the first derivative of -4*d**3/3 - 6*d**2 + 8. Factor k(z).
-4*z*(z + 3)
Let p be 14/8 + (-5)/(-20). Let x(n) = -12*n**2 + 17*n + 7. Let f(r) = -4*r**2 + 6*r + 2. Let t(s) = p*x(s) - 7*f(s). Factor t(b).
4*b*(b - 2)
Let c(x) = x + 15. Let b be c(0). Suppose -2*u = 3*u - b. Determine h so that 5*h**3 - 7*h**2 - 2*h - 10*h**3 + h**u + 1 = 0.
-1, 1/4
Solve 5*o**2 + 0*o**2 + 5*o**2 - 2*o**2 + 4*o = 0.
-1/2, 0
Suppose 5*z - 3 = 2*f, f - z - 2 - 1 = 0. Solve 2*y**3 - 2*y**2 + 2*y**3 - f*y**3 + 4*y**2 = 0 for y.
0, 1
Let r(q) be the third derivative of -1/30*q**5 + 0*q + 0 + 0*q**3 + 1/180*q**6 + 1/18*q**4 - q**2. Factor r(d).
2*d*(d - 2)*(d - 1)/3
Let z = 17 + -47/3. Factor -z*u + 2/3 + 2/3*u**2.
2*(u - 1)**2/3
Let h be ((-5)/(-20))/(1 + 11). Let s(a) be the second derivative of 0*a**2 + 1/24*a**3 + 0 - a - h*a**4. Determine n, given that s(n) = 0.
0, 1
Let b(p) = 69*p**3 + p**2 - 1. Let t be b(-1). Let a = t + 348/5. Suppose 6/5 + a*h**2 + 9/5*h = 0. What is h?
-2, -1
Let -4/7 + 2/7*q**3 - 2/7*q - 2/7*q**4 + 6/7*q**2 = 0. What is q?
-1, 1, 2
Let c be 3/(-6)*(-12 - -6). Determine b, given that c + 3/4*b**3 + 9/4*b**4 - 3/4*b**5 - 21/4*b**2 + 0*b = 0.
-1, 1, 2
Let b = -33/10 + 19/5. Let t(r) be the first derivative of 1/2*r - 1/2*r**3 - 1 + b*r**2. Suppose t(w) = 0. Calculate w.
-1/3, 1
Let j(r) = -r**2 - 8*r + 5. Let y be j(-9). Let u(g) = -g**3 - 5*g**2 - 6*g - 6. Let d be u(y). What is v in -2/3*v**3 + 0 + 0*v**d + 2/3*v = 0?
-1, 0, 1
Suppose -2*w + 6*w - 12 = 0. Let c be (-3)/(-15) + (-7)/35. Find q, given that 4*q**w + 1 - 5*q**3 + q + c*q**3 - q**2 = 0.
-1, 1
Solve 0 + 3/5*c - 3/5*c**5 + 6/5*c**4 + 0*c**3 - 6/5*c**2 = 0.
-1, 0, 1
Let k = -6 - -10. Let q = 4 - 1. Suppose -1 - k*d**3 - 13*d**2 - 9*d**3 + 2*d**q - 4*d**4 - 6*d - d**3 = 0. What is d?
-1, -1/2
Let h(g) = -2*g**3 + 18*g**2 - 20. Let n(y) = -5*y**3 + 55*y**2 - 60. Let r(w) = 10*h(w) - 3*n(w). Factor r(t).
-5*(t - 2)**2*(t + 1)
Let l(i) be the first derivative of i**5/60 - 7*i**2/2 + 3. Let p(f) be the second derivative of l(f). Find n, given that p(n) = 0.
0
Let f(l) be the second derivative of -l**5/120 + l**4/96 + l**3/24 - l**2 + l. Let w(k) be the first derivative of f(k). Factor w(o).
-(o - 1)*(2*o + 1)/4
Factor 8/7 + 58/7*c**2 + 18/7*c**3 + 48/7*c.
2*(c + 1)*(c + 2