 first derivative of t**2 + t - 1 + 1/12*t**4 + 1/4*t**5 - 1/10*t**6 - 5/6*t**3. Let u(o) be the first derivative of z(o). What is m in u(m) = 0?
-1, 2/3, 1
Let n = 176/255 + -2/85. Let t be (-170)/51 - 2*-2. Solve -n*b**2 + 4/3*b - t = 0 for b.
1
Let z(p) = -p**4 - 2*p**3 - 3*p**2 + p + 5. Let c(m) = -m**4 - m**3 - 3*m**2 + m + 4. Let v(y) = 5*c(y) - 4*z(y). Let v(l) = 0. Calculate l.
0, 1
Let z(n) be the second derivative of n**4/24 - n**3/4 + n**2/2 + 40*n. Factor z(t).
(t - 2)*(t - 1)/2
Factor -4 - 46*b - 35*b**2 - 63*b**2 - 2*b**2 + 6*b.
-4*(5*b + 1)**2
Let u be 0*(81/(-18))/9. Factor u + 2/7*c**5 + 6/7*c**4 + 0*c + 2/7*c**2 + 6/7*c**3.
2*c**2*(c + 1)**3/7
Factor 0*k - 1/7*k**3 + 1/7*k**2 + 0.
-k**2*(k - 1)/7
Let c(p) = 4*p**3 - 4*p**2 + 2*p - 10. Let t(z) = -z**3 + z**2 + 2. Let q(k) = -2*c(k) - 10*t(k). Determine o, given that q(o) = 0.
-1, 0, 2
Let p(o) be the first derivative of -o**4/22 + 2*o**3/33 + o**2/11 - 2*o/11 - 6. Factor p(h).
-2*(h - 1)**2*(h + 1)/11
Let m(q) be the first derivative of 2*q**3/9 + 4*q**2 + 24*q - 18. Let m(f) = 0. Calculate f.
-6
Let g(r) be the second derivative of -1/25*r**5 + 0*r**4 - 3*r + 1/5*r**2 - 1/75*r**6 + 0 + 2/15*r**3. Factor g(j).
-2*(j - 1)*(j + 1)**3/5
Let g(x) be the first derivative of 7*x**5/120 - x**4/4 - x**3/3 + 3*x**2/2 - 2. Let p(w) be the second derivative of g(w). Let p(b) = 0. Calculate b.
-2/7, 2
Factor 0 - 2/9*f**2 + 0*f + 2/9*f**3.
2*f**2*(f - 1)/9
Let w(j) be the second derivative of -10*j + 0 + 4/3*j**3 - 1/3*j**4 - 2*j**2. Let w(u) = 0. Calculate u.
1
Let p(l) be the second derivative of l**7/105 - l**6/30 + l**5/30 - l**2 + 3*l. Let x(v) be the first derivative of p(v). Let x(h) = 0. What is h?
0, 1
Let d(w) be the third derivative of -w**10/50400 + w**9/30240 - w**5/60 + 5*w**2. Let g(a) be the third derivative of d(a). Find z, given that g(z) = 0.
0, 2/3
Let f(g) = -3*g**2 + 3*g + 2. Let j(b) = -b**2 + 1. Let x(c) = f(c) - 2*j(c). Factor x(a).
-a*(a - 3)
Let r(h) be the second derivative of h**7/420 - h**6/60 + h**5/20 - h**4/12 + h**3/12 - 2*h**2 + 4*h. Let k(g) be the first derivative of r(g). Factor k(y).
(y - 1)**4/2
Let n = -54 + 56. Solve 3/2*a**2 - n*a + 1/2 = 0.
1/3, 1
Let s(c) = -3*c**5 - c**4 + 2*c**3 + 4*c**2 + 4*c - 4. Let f(p) = 4*p**5 - p**3 - 5*p**2 - 5*p + 5. Let z(k) = -4*f(k) - 5*s(k). Factor z(q).
-q**3*(q - 3)*(q - 2)
Let y(k) be the second derivative of -1/30*k**3 + 0 - 2*k + 1/150*k**6 + 1/20*k**4 - 3/100*k**5 + 0*k**2. Factor y(a).
a*(a - 1)**3/5
Let v be ((-3)/22)/(258/8). Let k = v + 960/3311. Determine j so that -2/7 + k*j**2 + 0*j = 0.
-1, 1
Let a = 151/114 + 1/114. Let z(t) be the first derivative of 1/9*t**3 - 2/3*t**2 + a*t - 2. Find c such that z(c) = 0.
2
Let o(v) be the third derivative of -v**8/1176 + v**7/735 + v**6/420 - v**5/210 - 35*v**2. Determine d, given that o(d) = 0.
-1, 0, 1
Let s(v) be the first derivative of -2*v**3/27 - v**2/3 + 10. Find c, given that s(c) = 0.
-3, 0
Let v(x) be the second derivative of -35*x**4/12 + 25*x**3/6 + 5*x**2 + 63*x. Factor v(h).
-5*(h - 1)*(7*h + 2)
Find t, given that 0 + 0*t**2 - 2/5*t**3 + 2/5*t = 0.
-1, 0, 1
Factor 0*t + 6*t**2 - 2*t + 6*t - 2*t**4.
-2*t*(t - 2)*(t + 1)**2
Let c(j) = j**3 + 18*j**2 + 15*j - 32. Let w be c(-17). Suppose 0*g + 4/3*g**3 + 0 - 2/3*g**4 - 2/3*g**w = 0. Calculate g.
0, 1
What is v in 0 - 18/7*v**2 + 0*v - 2/7*v**5 - 6/7*v**3 + 10/7*v**4 = 0?
-1, 0, 3
Let d(a) be the first derivative of -2*a**3/3 - 4*a**2 - 8*a + 3. Solve d(f) = 0.
-2
Suppose 0 = -4*f - 0*f. Let o be (-2)/(-8) - 285/(-60) - 2. Factor -8/7*j**2 + 8/7*j + 2/7*j**o + f.
2*j*(j - 2)**2/7
Let b(h) = -15*h**5 - 18*h**4 + 15*h**3 + 9*h**2 + 9. Let f(j) = 7*j**5 + 9*j**4 - 7*j**3 - 5*j**2 - 4. Let n(s) = 4*b(s) + 9*f(s). Factor n(p).
3*p**2*(p - 1)*(p + 1)*(p + 3)
Let a(x) = -2*x**2 + 8*x - 2. Let p be 2/(1/2*-1). Let r(d) = 6*d**2 - 23*d + 6. Let y(h) = p*r(h) - 11*a(h). Suppose y(n) = 0. What is n?
1
Let r(v) be the first derivative of 5*v**4 - 28*v**3/3 - 16*v**2 + 16*v - 8. What is t in r(t) = 0?
-1, 2/5, 2
Let w(z) be the second derivative of 0 - 1/14*z**3 + 1/28*z**4 - 8*z + 3/140*z**5 - 1/70*z**6 + 0*z**2. Factor w(r).
-3*r*(r - 1)**2*(r + 1)/7
Suppose 4*f - 2 = -2*a, -3*f + 1 = 2*a - 2. Factor -g**2 + 2*g**3 - 3*g**a + 0*g**3.
-g**2*(g + 1)
Let y(r) be the third derivative of r**8/672 - r**6/120 + r**4/48 - 4*r**2. Solve y(h) = 0.
-1, 0, 1
Let k(w) be the third derivative of 2*w**7/525 + w**6/30 + 3*w**5/25 + 7*w**4/30 + 4*w**3/15 - 7*w**2. Suppose k(n) = 0. Calculate n.
-2, -1
Let p = 21 + -13. Let t = -6 + p. Determine w, given that -7*w**3 - 3*w**2 - t*w - 9*w**2 + 0*w**3 + 3*w**2 = 0.
-1, -2/7, 0
Factor -2/9*w**4 + 8/9*w**3 + 0 - 8/9*w**2 + 0*w.
-2*w**2*(w - 2)**2/9
Suppose -4/3*u**3 + 28/3*u**2 - 28/3 + 4/3*u = 0. What is u?
-1, 1, 7
Let i(h) = -2*h**3 - 14*h**2 + 18. Let l(y) = -y**3 + y**2 - 1. Let n(w) = -i(w) - 2*l(w). Factor n(z).
4*(z - 1)*(z + 2)**2
Let k = -236/5 + 48. Suppose k*p**2 + 0*p - 14/5*p**5 + 14/5*p**3 + 0 - 4/5*p**4 = 0. What is p?
-1, -2/7, 0, 1
Suppose 2*v = 4*v - 3*c + 6, 2*c = 4. Let b(x) be the first derivative of 2 - 1/6*x**4 + 0*x - 2/9*x**3 + v*x**2. Factor b(j).
-2*j**2*(j + 1)/3
Suppose 0 = -y + 7*y. Let h(b) be the second derivative of 0 - 1/15*b**6 - 1/21*b**7 + 1/10*b**5 + 2*b + 1/6*b**4 + 0*b**3 + y*b**2. Factor h(j).
-2*j**2*(j - 1)*(j + 1)**2
Let m = -45/7 - -509/77. Solve 0*u + 0 + 6/11*u**2 - m*u**3 = 0.
0, 3
Let i(j) be the second derivative of -j**6/135 + j**4/54 + j. Factor i(z).
-2*z**2*(z - 1)*(z + 1)/9
Let i(b) be the second derivative of -b**8/16800 + b**7/12600 + b**6/3600 + b**4/6 + 4*b. Let s(v) be the third derivative of i(v). Factor s(z).
-z*(z - 1)*(2*z + 1)/5
Factor -21/4*b**5 + 0*b**3 - 3/2*b**4 + 0*b + 0*b**2 + 0.
-3*b**4*(7*b + 2)/4
Let j(f) be the second derivative of -1/24*f**3 + 1/80*f**5 + 6*f + 0*f**2 + 0 + 0*f**4. Factor j(w).
w*(w - 1)*(w + 1)/4
Let d(n) be the second derivative of n**7/21 + 13*n**6/15 + 23*n**5/5 + 2*n**4 - 24*n**3 - 13*n - 4. Factor d(l).
2*l*(l - 1)*(l + 2)*(l + 6)**2
Let b(f) = f**4 + f**3 + f + 1. Let d(l) = -3*l**4 - l**3 + 2*l**2 - l - 1. Let w(i) = -b(i) - d(i). Factor w(h).
2*h**2*(h - 1)*(h + 1)
Suppose 15*g - 28 = g. Let -1/3*y + 1/6*y**g + 0 = 0. Calculate y.
0, 2
Let w = -50 - -252/5. Factor -w*h**2 - 2/5*h + 2/5*h**3 + 2/5.
2*(h - 1)**2*(h + 1)/5
Let g(b) be the third derivative of 0*b**3 - 4*b**2 + 0 + 0*b - 1/90*b**5 + 0*b**4 + 1/180*b**6. Factor g(z).
2*z**2*(z - 1)/3
Factor -12*h**2 + 2*h**2 - 2*h**4 + 4*h**3 + 4*h**3 + 4*h.
-2*h*(h - 2)*(h - 1)**2
Let i(h) be the second derivative of 1/21*h**3 + 1/42*h**4 - 2/7*h**2 + 0 - 8*h. Solve i(s) = 0.
-2, 1
Let s(l) be the second derivative of -l**8/16800 + l**7/2100 - l**6/600 + l**5/300 - l**4/4 + 3*l. Let z(d) be the third derivative of s(d). Factor z(u).
-2*(u - 1)**3/5
Suppose 4*w + 0*w - 4 = -4*b, 3 = -3*w. Factor -2/5*h**4 + 0*h**b + 2/5*h**3 + 0*h + 0.
-2*h**3*(h - 1)/5
Let x be 1/((-9)/(-6)*(-1)/(-6)). Factor 0*j + 0 - 3/2*j**5 + 1/2*j**2 - 1/2*j**3 - 5/2*j**x.
-j**2*(j + 1)**2*(3*j - 1)/2
Let c(z) = -z**2 + z. Let f be (0 + 6)/(0 + 2). Let g(v) = -v**2 + v - 1. Let y(i) = f*c(i) - 2*g(i). Suppose y(h) = 0. What is h?
-1, 2
Let m(d) be the third derivative of d**7/840 - 7*d**6/480 + 17*d**5/240 - 17*d**4/96 + d**3/4 - 7*d**2. Suppose m(h) = 0. What is h?
1, 2, 3
Let x(o) = -2*o**3 - 7*o**2 + 83 + 3*o**3 - 83. Let l(i) = -i**3 + 5*i**2. Let w(h) = 7*l(h) + 5*x(h). Factor w(n).
-2*n**3
Let d(m) be the first derivative of -m + 2 + 0*m**2 + 1/3*m**3. Solve d(p) = 0 for p.
-1, 1
Let g(q) be the third derivative of q**8/84 - 8*q**7/105 + q**6/6 - 2*q**5/15 + 9*q**2. Let g(r) = 0. What is r?
0, 1, 2
Suppose 1 = n, 3*n - 1 = -3*t + 2*n. Let b(i) = -i. Let s be b(-4). Factor 1/3*y**s - 1/3*y**2 + 0*y + 1/3*y**3 + t - 1/3*y**5.
-y**2*(y - 1)**2*(y + 1)/3
Let l(t) be the second derivative of 1/15*t**6 - 4*t - 1/6*t**3 + t**2 + 0 - 1/42*t**7 + 1/10*t**5 - 1/3*t**4. Factor l(b).
-(b - 2)*(b - 1)**2*(b + 1)**2
Let h be (9/(-12))/((-126)/48). Suppose -6/7*a**3 + 0*a + h*a**2 + 6/7*a**5 - 2/7*a**4 + 0 = 0. Calculate a.
-1, 0, 1/3, 1
Let u(l) = l**2 + 7*l + 8. Let f be u(-6). Suppose z + 2 = -k + 1, 2*k + 20 = 4*z. Let -4*o - 1 + f*o**3 + 3*o**2 + o + 2 - z*o**4 + o