the first derivative of 2*t**3/69 + 7*t**2/23 + 28. Factor z(a).
2*a*(a + 7)/23
Let y(p) be the second derivative of -p**7/42 - p**6/10 + p**5/20 + 7*p**4/12 - 2*p**2 + p. Factor y(a).
-(a - 1)**2*(a + 1)*(a + 2)**2
Let j(w) be the second derivative of -2/3*w**3 + 13/36*w**4 - 1/10*w**5 + 1/90*w**6 + 4*w + 0 + 2/3*w**2. Factor j(s).
(s - 2)**2*(s - 1)**2/3
Suppose -17*n = -5*n - 24. Find m, given that -8/3*m - 4/3 - 4/3*m**n = 0.
-1
Find a such that -1/4*a**5 - 3/2*a + 5/4*a**2 - 5/4*a**4 + 7/4*a**3 + 0 = 0.
-6, -1, 0, 1
Let g(h) be the first derivative of -1/24*h**4 + h**2 + 0*h**3 + 2 + 1/120*h**5 + 0*h. Let q(p) be the second derivative of g(p). What is v in q(v) = 0?
0, 2
Let y(l) = 2*l + 10. Let d be y(-4). Let g(c) be the second derivative of 0*c**3 + 0 - d*c + 0*c**2 - 1/36*c**4. Suppose g(n) = 0. What is n?
0
Let r(a) be the third derivative of a**4/12 - 2*a**3/3 - 8*a**2. Let m be r(2). Find z, given that 5/2*z**4 + m + 0*z + 0*z**2 - z**3 = 0.
0, 2/5
Suppose -2*v + 4*v = 6. Suppose 6*d = v*d. Determine u, given that 2*u**3 + 0 + 6*u**4 + 9/2*u**5 + d*u + 0*u**2 = 0.
-2/3, 0
Let l(p) = -p**2 - 2*p + 5. Let s(h) = -h + 3. Suppose -y = 0, 9 = 2*d + 2*y - 1. Suppose 2*n - 3 = -9. Let q(u) = d*s(u) + n*l(u). Solve q(t) = 0.
-1/3, 0
Let i(b) be the third derivative of 0 + 0*b - 1/70*b**7 + 3/40*b**6 - 4*b**2 + 0*b**3 - 3/20*b**5 + 1/8*b**4. Factor i(n).
-3*n*(n - 1)**3
Suppose -5*p + 3*p = 10, -5*s + p = -15. Suppose 2*b**2 + b**3 - 1 + 0*b**s - b**4 - b**3 = 0. What is b?
-1, 1
Let b(y) be the third derivative of -1/420*y**7 - 2*y**2 - 1/80*y**6 + 0*y + 0*y**4 + 0*y**3 - 1/60*y**5 + 0. Find n such that b(n) = 0.
-2, -1, 0
Let i(q) be the third derivative of q**5/570 + q**4/76 - 4*q**3/57 + 19*q**2. Find h, given that i(h) = 0.
-4, 1
Let v(u) be the second derivative of -1/160*u**5 - u - 1/16*u**3 + 5/96*u**4 - 9/16*u**2 + 0. Determine a, given that v(a) = 0.
-1, 3
Suppose 40 = -0*t + 5*t. Let n be 1 - ((-4)/t - -1). Determine m, given that -m**2 + 1/2*m**5 + m**3 + 3/2*m**4 - n - 3/2*m = 0.
-1, 1
Let y = 31 + -27. Let m(v) be the second derivative of 1/10*v**5 + 2*v + 4/3*v**3 + 0 + 2*v**2 + 1/2*v**y + 1/120*v**6. Factor m(b).
(b + 2)**4/4
Let b(y) = y**3 + 2*y**2 - 4*y - 1. Let z be b(-3). Suppose -1/4*a**z + 1/4*a + 0 = 0. Calculate a.
0, 1
Let q be 3 + 2 + 13 - -2. Determine c, given that -18*c + 6*c**2 + q*c - 4 + 0 = 0.
-1, 2/3
Find h, given that -5/3*h**2 - 7/3*h - 1 - 1/3*h**3 = 0.
-3, -1
Let x(f) be the first derivative of 1/8*f**4 - 1/4*f - 1/20*f**5 + 1/6*f**3 - 1/24*f**6 - 2 - 1/8*f**2. Solve x(m) = 0.
-1, 1
Let u(l) = -l**5 + l**4 + l**3 + l**2 - l. Let o(y) = 2*y**4 - 2*y**5 + 5*y - 6*y + 0*y**2 + 2*y**2 + y**5. Let c(r) = o(r) - 2*u(r). Factor c(b).
b*(b - 1)**2*(b + 1)**2
Factor -322/9*o**3 + 686/9*o**5 - 268/9*o**2 + 784/9*o**4 + 136/9*o - 16/9.
2*(o + 1)**2*(7*o - 2)**3/9
Let o(t) be the third derivative of t**7/525 - t**6/600 - t**5/100 + t**4/120 + t**3/30 + t**2. Factor o(i).
(i - 1)**2*(i + 1)*(2*i + 1)/5
Let x(p) be the second derivative of -p**7/210 - 7*p**6/150 - 19*p**5/100 - 5*p**4/12 - 8*p**3/15 - 2*p**2/5 - 15*p + 1. Find c, given that x(c) = 0.
-2, -1
Let o(d) be the first derivative of -4*d**3/9 + 2*d**2/3 - 46. Suppose o(g) = 0. Calculate g.
0, 1
Find b such that -2/3*b**4 + 0*b - 32/3*b**2 - 16/3*b**3 + 0 = 0.
-4, 0
Let g(z) be the second derivative of -2*z**7/21 + 8*z**6/15 - z**5 + 2*z**4/3 + 30*z. Factor g(m).
-4*m**2*(m - 2)*(m - 1)**2
Let r(u) = 2*u**2 + 11*u + 9. Let t(j) = j**2 + 6*j + 5. Suppose -20 = -2*h - 2*h. Let k(b) = h*t(b) - 3*r(b). Determine s so that k(s) = 0.
-2, -1
Factor 224*g - 61*g**2 - 77*g**2 - 128 + 26*g**3 + 18*g**2 - 2*g**4.
-2*(g - 4)**3*(g - 1)
Let u(i) = -11*i**2 + 9*i - 6. Let a(v) = 10*v**2 - 9*v + 5. Let w(g) = 4*a(g) + 3*u(g). Solve w(l) = 0.
2/7, 1
Let h be (-5 - -5)/((-2)/(-2)). Let j(c) be the third derivative of -c**2 + h*c**3 + 0*c + 0*c**4 + 0 + 1/150*c**5 + 1/100*c**6. Suppose j(l) = 0. What is l?
-1/3, 0
Suppose 0 = t + 2*t + 4*y - 6, 2 = t - y. Let 2 + 5*i**t - 2*i - 2*i - 3*i**2 = 0. Calculate i.
1
Let i = 1187/18 - 364/9. Let w = i - 25. Factor 0*p - 1/2*p**2 + w.
-(p - 1)*(p + 1)/2
Let c = -53/2 - -27. Suppose 0 = 2*p - 4*z - 23 - 1, 3*z + 15 = 0. Factor -c + 3/4*h - 1/4*h**p.
-(h - 2)*(h - 1)/4
Let l = -301/3 + 101. Let a be (0 - -1 - 6)/(-1). Factor 2/3 - l*b**a - 2/3*b + 2/3*b**4 + 4/3*b**3 - 4/3*b**2.
-2*(b - 1)**3*(b + 1)**2/3
Let p(y) be the second derivative of 2/15*y**3 + 2/5*y**2 + 7/30*y**6 + 0 - 1/25*y**5 + 5*y - 13/20*y**4. Solve p(w) = 0 for w.
-1, -2/7, 2/5, 1
Let p(f) be the first derivative of 2*f**5/35 - 5*f**4/14 + 2*f**3/7 + 9*f**2/7 - 17. Factor p(x).
2*x*(x - 3)**2*(x + 1)/7
Suppose 10*r + 2/7*r**3 + 14 - 26/7*r**2 = 0. Calculate r.
-1, 7
Let y be (12/(-9))/((-4)/30). Suppose -u - 3*u = -n + 2, 5*n = 2*u + y. Solve 3/4*j**4 + 17/4*j**3 + 1 - n*j - 7/4*j**2 - 9/4*j**5 = 0 for j.
-1, 2/3, 1
Let i = 281 + -1965/7. Suppose -i*x**2 + 4/7 - 2/7*x = 0. What is x?
-2, 1
Let t(k) = -7*k**2 + 2*k + 5. Let d(c) = -c**2 + 4*c**2 + 1 - 3*c**2 - c**2. Let z(v) = 6*d(v) - t(v). Factor z(o).
(o - 1)**2
Let j(w) = -w**2 - 1. Suppose 0 = 5*l + 43 - 13. Let d = -17 - l. Let v(p) = -5*p**2 + p - 5. Let i(u) = d*j(u) + 2*v(u). Suppose i(s) = 0. What is s?
-1
Let f(q) = 7*q**4 - 9*q**3 + 5*q**2. Let m be -2 + (-3)/(12/(-32)). Let k(t) = -14*t**4 + 18*t**3 - 9*t**2. Let a(n) = m*k(n) + 10*f(n). Factor a(v).
-2*v**2*(v - 1)*(7*v - 2)
Let s(a) be the third derivative of a**11/110880 - a**10/25200 + a**9/20160 - a**5/30 + 2*a**2. Let x(v) be the third derivative of s(v). Solve x(z) = 0 for z.
0, 1
Let z = -2114 - -27464/13. Let i = z - -116/65. Factor 0 + 2/5*p**2 + 0*p - i*p**3.
-2*p**2*(p - 1)/5
Let l(g) be the second derivative of 0*g**2 + 2/15*g**3 - 1/30*g**4 + 0 - g. Determine b so that l(b) = 0.
0, 2
Let d(n) = 5*n**2 - 2*n - 4. Let t(o) = -4 + 4 - o**2 + 1. Let u(y) = -d(y) - 4*t(y). Suppose u(f) = 0. Calculate f.
0, 2
Let c(t) be the third derivative of 0 - 1/1260*t**6 - 1/105*t**5 + 1/3*t**3 + 0*t - 1/21*t**4 - 2*t**2. Let y(m) be the first derivative of c(m). Factor y(v).
-2*(v + 2)**2/7
Let x be 5/(-1) - (-44)/8. Factor 1/2 - s**2 + s**3 - 1/2*s**5 - 1/2*s + x*s**4.
-(s - 1)**3*(s + 1)**2/2
Let i = 74 - 71. Factor 4 + 1/4*g**4 + 8*g + 6*g**2 + 2*g**i.
(g + 2)**4/4
Let z(u) = u**3 - 11*u**2 + 10*u + 2. Let m be z(10). Let b = -6 - -8. Solve -2 + 6*p**3 + 3 + 6*p**m + 4*p + 0*p**4 + p**4 - b*p**3 = 0.
-1
Let b = 5 - 9. Let x be -3 - (3 - (-26)/b). Solve 2*v**2 - 3/2*v - x = 0.
-1/4, 1
Solve 16/15 + 4/3*w**2 + 2/15*w**3 + 34/15*w = 0 for w.
-8, -1
Let j(k) = 8*k**2 + 25*k + 8. Let t(r) = 4*r**2 + 12*r + 4. Let c(d) = -2*j(d) + 5*t(d). What is g in c(g) = 0?
-2, -1/2
Let n(d) = d**3 + 3*d**2 + 5. Let p(j) = 2*j**2 + 2. Let x(u) = -u + 1. Let i be x(-1). Let h(o) = i*n(o) - 5*p(o). Factor h(f).
2*f**2*(f - 2)
Let n(o) = -o**3 + 7*o**2 + 2*o - 11. Let i be n(7). Let w(d) be the second derivative of 1/27*d**4 + 0*d**2 - 1/90*d**5 + 0 + 3*d - 1/27*d**i. Factor w(z).
-2*z*(z - 1)**2/9
Let j(v) = -v**4 + 3*v**3 + 5*v**2 + 3*v - 4. Let q = 8 - 14. Let p(i) = -i**3 - i**2 + 1. Let r(l) = q*p(l) - j(l). Determine g, given that r(g) = 0.
-2, -1, 1
Let g(f) = -3*f - 3. Let q be 6/(-15)*(-10)/(-2). Let t be g(q). Solve 2*s**3 - 3*s - 4*s**t - 2*s + 4*s**2 + 3*s = 0.
0, 1
Let w(m) be the first derivative of 4*m**4 + 8*m**3 + 6*m**2 + 2*m + 4. Suppose w(p) = 0. What is p?
-1/2
Let q(w) be the second derivative of -w**6/120 - w**5/60 - w**2/2 + w. Let u(y) be the first derivative of q(y). Factor u(s).
-s**2*(s + 1)
Let n(s) be the first derivative of -s**4/8 + 9*s**3/2 - 243*s**2/4 + 729*s/2 - 8. Find m, given that n(m) = 0.
9
Solve -61*d + 86*d - 5*d**2 - 15 - 2*d**3 - 3*d**3 = 0.
-3, 1
Let s be (-4)/10 - 17/(-5). Suppose 0 = -3*t + 5*l + 3, -4*t = -5*t - 5*l + 21. Find c such that 3*c - c**3 - 12*c**2 + t*c**3 + 1 + s*c**2 = 0.
-1/5, 1
Let k(l) be the third derivative of l**8/23520 - l**7/8820 + 5*l**4/24 + 2*l**2. Let g(z) be the second derivative of k(z). Factor g(f).
2*f**2*(f - 1)/7
Find d, given that 3*d**2 - 7*d**2 + 7*d**2 + 2*d**2 = 0.
0
Let r(p) be the third derivative of -p**7/1260 + p**5/120 - p**4/72 + 6*p**2. Factor r(u).
-u*(u - 1)**2*(u + 2)/6
Let b(a