Let g(j) = j + 29. Let x be g(-26). Let h(f) be the first derivative of -4 + 0*f**5 + 1/8*f**4 + 0*f**2 + 0*f + 0*f**x - 1/12*f**6. Factor h(l).
-l**3*(l - 1)*(l + 1)/2
Let d(j) be the second derivative of 2/3*j**2 + 0 - 1/18*j**4 - 1/9*j**3 + j. Solve d(o) = 0 for o.
-2, 1
Let t(u) be the second derivative of -u**5/40 + 7*u**4/48 - 7*u**3/24 + u**2/4 - 15*u. Determine m, given that t(m) = 0.
1/2, 1, 2
Let x = -12 - -17. Let k(m) be the first derivative of 1/3*m**6 + 0*m**x + 0*m**3 + 1 + 0*m**2 + 0*m - 1/2*m**4. Find w, given that k(w) = 0.
-1, 0, 1
Let y(q) be the third derivative of q**6/540 + q**5/90 + q**4/36 + q**3/27 + 15*q**2. Factor y(c).
2*(c + 1)**3/9
Let u(m) = m**2 - 11*m + 4. Let o be u(0). Solve 0 - 2/3*k**o + 0*k + 0*k**2 - 4/3*k**3 = 0 for k.
-2, 0
Let m = -154 - -157. What is v in -18/5*v**2 + 14/5*v - 4/5 + 2*v**m - 2/5*v**4 = 0?
1, 2
Let f be (2 + (-2)/8)*4. Let m(b) = b**3 - 6*b**2 - 5*b - 10. Let r be m(f). Factor 20*k**2 - 7 + 66*k**3 + 2*k + 80*k**r + 7 + 32*k**5.
2*k*(k + 1)**2*(4*k + 1)**2
Factor -2*j**2 - 3*j**2 + 2*j + 2*j**2 + 4*j.
-3*j*(j - 2)
Let j(o) be the second derivative of o**6/70 + o**5/28 - o**4/21 - 2*o**3/21 + 4*o. Factor j(z).
z*(z - 1)*(z + 2)*(3*z + 2)/7
Factor 2*z**2 + 1 - 2 - 6*z**4 + 5*z**4.
-(z - 1)**2*(z + 1)**2
Let x(k) be the first derivative of k**6/1260 + k**5/420 + 2*k**3/3 - 2. Let c(v) be the third derivative of x(v). Factor c(g).
2*g*(g + 1)/7
Let -q**2 + 0*q**2 - 5*q**2 - 1 - q**3 - 3*q + 3*q**2 = 0. Calculate q.
-1
Suppose -s + 2*l = -0*s - 1, -2*l + 26 = 2*s. Find o, given that 9*o + 4*o**2 + o**4 - s*o - 2*o**3 - 2*o**3 = 0.
0, 2
Find w such that 10*w**2 - 5*w**5 - 19 - 5*w + 14 - 5*w**3 - 5*w**4 + 15*w**3 = 0.
-1, 1
Suppose -5*o = -4*a - 2*o + 16, 16 = 4*a - o. Let i(f) = 3*f**2 - 8*f - 7. Let n(q) = -4*q**2 + 9*q + 8. Let w(g) = a*n(g) + 5*i(g). Factor w(u).
-(u + 1)*(u + 3)
Suppose 5*m = 7*m - 4. Factor -2*t + 2*t**m + 2/3 - 2/3*t**3.
-2*(t - 1)**3/3
Suppose 2/5*d**2 - 3/5*d + 1/5 = 0. What is d?
1/2, 1
Let s(d) be the first derivative of -3*d**5/25 + 3*d**4/10 + d**3/5 - 3*d**2/5 + 10. Factor s(x).
-3*x*(x - 2)*(x - 1)*(x + 1)/5
Let u(x) = -9 + 15*x + 36*x**2 - 31*x - 20*x - 15*x**2. Let w(t) = 5*t**2 - 9*t - 2. Let r(k) = 2*u(k) - 9*w(k). Factor r(j).
-3*j*(j - 3)
Suppose z = 4*t, -4*z - 6*t + 21 = -t. Suppose -2*q + 0*q = -z. Solve 2/9*w + 2/3*w**q + 2/3*w**3 + 0 + 2/9*w**4 = 0 for w.
-1, 0
Let t(l) = -3*l**4 + l**3 + 14*l**2 - 14*l + 2. Let s(i) = -i**3 + i**2 - i + 1. Let b(k) = 2*s(k) - t(k). Determine h so that b(h) = 0.
-2, 0, 1, 2
Let t(f) be the first derivative of f**6/33 + 2*f**5/55 - 5*f**4/22 - 2*f**3/33 + 8*f**2/11 - 8*f/11 - 36. Let t(u) = 0. Calculate u.
-2, 1
Let 0 + 2*q**2 + 1/2*q**5 + 2*q - q**4 - 3/2*q**3 = 0. What is q?
-1, 0, 2
Let o(p) be the first derivative of p**4/24 + p**3/6 + p**2/4 - p + 1. Let h(u) be the first derivative of o(u). Find n such that h(n) = 0.
-1
Suppose -3/5 + 2/5*g + 1/5*g**2 = 0. What is g?
-3, 1
Let o = -10 - -15. Solve o*g**2 + g**3 + g + 3*g**2 - 6*g**2 = 0 for g.
-1, 0
Let o = 99541/90 - 1106. Let n(y) be the second derivative of 1/18*y**3 - o*y**6 + 1/18*y**4 - 1/6*y**2 + 1/126*y**7 + y + 0 - 1/30*y**5. Factor n(s).
(s - 1)**3*(s + 1)**2/3
Let y be 9 - 4*9*6/36. Factor 0 - 3/2*j**4 + 0*j**2 + 0*j - 1/2*j**y.
-j**3*(3*j + 1)/2
Suppose -2*k = -3 - 1. Factor 3*u - u**5 + k*u**2 - 1 + 2*u**2 - 6*u**2 - 22*u**3 + 20*u**3 + 3*u**4.
-(u - 1)**4*(u + 1)
Let p(x) be the second derivative of -x**4/48 + x**2/2 - 16*x. Factor p(o).
-(o - 2)*(o + 2)/4
Suppose 0*j = 3*j - 3*x, -5*j + 18 = x. Let m be ((-3)/(-2) - 0)*2. Find b, given that b**j - b**2 + m*b**2 + b**3 = 0.
-1, 0
Let a(m) be the third derivative of m**7/70 + m**6/20 + m**5/20 - 3*m**2. What is h in a(h) = 0?
-1, 0
Suppose -k + k**2 + 81 - 3*k - 78 = 0. What is k?
1, 3
Let u(q) be the second derivative of -3*q**5/80 - q**4/16 + q**3/4 - 6*q. Solve u(k) = 0 for k.
-2, 0, 1
Let n(x) be the second derivative of -x**4/3 + 4*x**3/3 - 2*x. Solve n(y) = 0.
0, 2
Let b(n) be the third derivative of n**7/30 - n**6/12 + n**5/20 + 2*n**2. Factor b(d).
d**2*(d - 1)*(7*d - 3)
Suppose -g - a = -2*g + 2, 5*g - 10 = -a. Factor -2/9*x**g + 0*x + 2/9.
-2*(x - 1)*(x + 1)/9
Let h(i) be the second derivative of 5*i**7/42 + i**6/6 - 3*i**5/4 - 25*i**4/12 - 5*i**3/3 + 8*i. Solve h(f) = 0 for f.
-1, 0, 2
Let v = 15751/63 - 250. Let k(o) be the second derivative of v*o**7 - 1/9*o**3 + 0 + 2/45*o**6 + 0*o**5 + 0*o**2 - 1/9*o**4 + o. Suppose k(a) = 0. What is a?
-1, 0, 1
Let p be (-7)/(-196) - (-2)/8*1. What is c in 0*c**2 + 0 + 2/7*c**3 - p*c**5 + 0*c + 0*c**4 = 0?
-1, 0, 1
Let p(o) be the second derivative of 1/12*o**4 - 1/60*o**6 - 1/4*o**2 - 1/12*o**3 + 1/20*o**5 + 0 - 1/84*o**7 - 2*o. Factor p(s).
-(s - 1)**2*(s + 1)**3/2
Let c = -92/3 - -31. Suppose c*l + 1/3*l**2 - 2/3 = 0. Calculate l.
-2, 1
Let t(b) be the third derivative of 0*b**3 + 0*b**5 + 0 - 1/112*b**8 + 1/35*b**7 + 0*b + b**2 - 1/40*b**6 + 0*b**4. Factor t(v).
-3*v**3*(v - 1)**2
Let y(i) = 6*i**4 + 6*i**3 - 10*i**2 - 14*i + 16. Let t(j) = -7*j**4 - 6*j**3 + 11*j**2 + 14*j - 17. Let x(a) = -4*t(a) - 5*y(a). Factor x(l).
-2*(l - 1)**2*(l + 2)*(l + 3)
Let o(f) be the second derivative of -f**6/30 + 9*f**5/20 + f**4/2 - f**3/6 + 6*f. Let h(l) = 8*l**3 + 6*l**2. Let a(c) = 3*h(c) - 2*o(c). Factor a(i).
2*i*(i + 1)**3
Let u(q) be the first derivative of 1/30*q**5 + 3*q - 2/9*q**4 - 2/3*q**2 - 4 + 5/9*q**3. Let t(j) be the first derivative of u(j). Solve t(k) = 0 for k.
1, 2
Let 8*b**2 + 2*b**5 + 6*b - 2*b + 54*b**4 - 6*b**5 - 62*b**4 = 0. What is b?
-1, 0, 1
Let y = -16/7 - -190/77. Suppose 2/11*v**4 - 2/11*v**2 + 0 - y*v + 2/11*v**3 = 0. Calculate v.
-1, 0, 1
Let z = -17616/5 - -3552. Factor 36/5*o**2 - 3/5*o**3 - z*o + 192/5.
-3*(o - 4)**3/5
Let w be (-8)/28 + 4803/28. Let g = w + -170. Factor 7/4*b**3 - 1/2*b**2 + 0*b + 0 - g*b**4.
-b**2*(b - 1)*(5*b - 2)/4
Let p be ((-17)/(-204)*-3)/(14/(-8)). Factor -p*q + 0 + 1/7*q**3 + 1/7*q**2 - 1/7*q**4.
-q*(q - 1)**2*(q + 1)/7
Suppose 10 = 5*d - o, 3 = d - 3*o + 1. What is v in -14/3*v**4 + 0 + 4/3*v**3 + 14/3*v**d - 4/3*v = 0?
-1, 0, 2/7, 1
Let b = -3/77 + 104/693. Let q(t) be the second derivative of 1/90*t**5 + t + b*t**3 - 1/9*t**2 + 0 - 1/18*t**4. Factor q(y).
2*(y - 1)**3/9
Let r(y) be the second derivative of -y**4/72 + y**2/12 + y - 3. Suppose r(w) = 0. What is w?
-1, 1
Let f(w) be the first derivative of w**4/2 - 4*w**3/3 - 3*w**2 + 1. Determine k, given that f(k) = 0.
-1, 0, 3
Let t(w) be the third derivative of w**9/60480 - w**8/26880 - w**4/8 + w**2. Let c(q) be the second derivative of t(q). Solve c(v) = 0.
0, 1
Let y = 2 - 12. Let l be 1/(-4) - y/8. Find k, given that 0*k**2 + 3 - l - 2*k**2 = 0.
-1, 1
Let k(a) = 9*a**5 + 7*a**4 + a**3 + 11*a**2 + 7*a. Let p(j) = 4*j**5 + 3*j**4 + 5*j**2 + 3*j. Let l(n) = 3*k(n) - 7*p(n). Find c, given that l(c) = 0.
-2, 0, 1
Factor 2/5*h**2 + 8/15 - 16/15*h.
2*(h - 2)*(3*h - 2)/15
Let j(u) be the third derivative of 0 + 0*u**4 - 1/168*u**8 + 1/30*u**6 + 0*u - 3*u**2 - 1/105*u**7 + 0*u**5 + 0*u**3. Factor j(a).
-2*a**3*(a - 1)*(a + 2)
Suppose 0 = 3*b - 2*z - 13, 0 = 4*b - 4*z - 0*z - 20. Solve 0*s**2 + 0*s + 5*s + b*s**2 - 2*s = 0.
-1, 0
Let f(l) be the first derivative of l**7/21 - l**6/15 - l**5/5 + l**4/3 + l**3/3 - l**2 - l - 3. Let t(v) be the first derivative of f(v). Factor t(y).
2*(y - 1)**3*(y + 1)**2
Let p = 89/100 - 22/25. Let w(k) be the second derivative of 0*k**4 + 2*k + 0 + 0*k**6 + 0*k**3 - 1/210*k**7 + p*k**5 + 0*k**2. Suppose w(c) = 0. What is c?
-1, 0, 1
Suppose -i - 2*b + 5 + 5 = 0, 5*i = b - 5. Suppose 0*u + 1/2*u**2 + i = 0. Calculate u.
0
Find f, given that 2/7*f + 6/7*f**3 + 0 + 8/7*f**2 = 0.
-1, -1/3, 0
Let v(n) be the third derivative of n**6/30 - 2*n**5/15 - 5*n**2. Suppose v(q) = 0. Calculate q.
0, 2
Factor -2/23*f**5 + 0 + 0*f**2 - 4/23*f**3 + 6/23*f**4 + 0*f.
-2*f**3*(f - 2)*(f - 1)/23
Let x(v) = v**3 - 4*v**2 - 3*v - 5. Let f be x(5). Let k(q) be the second derivative of 0 - 1/15*q**6 + 0*q**3 + 1/10*q**f + 0*q**2 + 2*q + 0*q**4. Factor k(h).
-2*h**3*(h - 1)
Let p be (-1)/2*(15 - 16). Factor 1/2*l**3 + 0 - 1/2*l**2 + 1/2*l**4 - p*l.
l*(l - 1)*(l + 1)**2/2
Suppose 10 = -b + 6*b. Let t(d) = d**4 + 2*d**3 - d**2 - 2*d + 3. Le