*c**4 - c**5.
2*c**2*(c - 1)**2*(c + 1)
Factor -4*c + 8 - 2 - 3*c - 3*c**2 + 4*c.
-3*(c - 1)*(c + 2)
Let y(u) be the first derivative of -3*u**5/5 + u**3 + 25. Solve y(t) = 0.
-1, 0, 1
Let i = -140/9 - -1558/99. Factor -2/11 + 2/11*u**2 + i*u - 2/11*u**3.
-2*(u - 1)**2*(u + 1)/11
Let m(v) = 2*v**4 + 3*v**3 - v**2 - 6*v + 2. Let q(r) = -5*r**4 - 6*r**3 + 2*r**2 + 13*r - 4. Let u(c) = 7*m(c) + 3*q(c). Factor u(s).
-(s - 2)*(s - 1)**2*(s + 1)
Let j(b) = -b**5 - 2*b**4 + b**2 - b. Let x be (-14)/(-10) - 2/5. Let y(o) = -o**3 + o - 49 - o**2 + 0*o + 49. Let n(f) = x*y(f) + j(f). Factor n(d).
-d**3*(d + 1)**2
Let j be -1*(-1)/4*0. Let q(o) be the second derivative of 0*o**2 + 0*o**4 + 0 - 1/10*o**5 + j*o**3 - 16/21*o**7 - o - 8/15*o**6. Solve q(m) = 0 for m.
-1/4, 0
Let j(c) be the first derivative of c**4/7 + 4*c**3/7 + 4*c**2/7 - 37. Factor j(r).
4*r*(r + 1)*(r + 2)/7
Factor 128/11 + 2/11*q**3 + 24/11*q**2 + 96/11*q.
2*(q + 4)**3/11
Let f(i) be the second derivative of i**5/5 - i**4/3 - i. Factor f(k).
4*k**2*(k - 1)
Let y = 8 + 4. Suppose -3*t = -0 - y. What is z in -z - 1/3 + 2/3*z**t + z**3 - 1/3*z**2 = 0?
-1, -1/2, 1
Let g(w) be the third derivative of -7/20*w**5 + 0 + 1/20*w**6 + 1/2*w**4 - 2*w**2 + 0*w + 2*w**3. Find x such that g(x) = 0.
-1/2, 2
Let s(i) = -2*i**2 - 28*i - 406. Let w(p) = -2*p + 1. Let m(y) = -2*s(y) - 28*w(y). Let m(q) = 0. Calculate q.
-14
Suppose c + 3*o - 2 - 10 = 0, -4*c + 13 = 5*o. Let y be (0 - c) + 19/(-7). Factor 0 - y*q**3 - 2/7*q - 4/7*q**2.
-2*q*(q + 1)**2/7
Let z(w) = -2*w - 4. Let n be z(-5). Let a = 8 - n. Let -k**2 + 4*k**2 - 2*k**3 - 6*k**2 - a*k + k**3 = 0. What is k?
-2, -1, 0
Let d = 18 - 12. Suppose -d*j - 2*j**2 - j**3 + 6*j = 0. What is j?
-2, 0
Let o(d) be the third derivative of -d**8/1344 + d**6/240 - d**4/96 + 13*d**2. Let o(q) = 0. What is q?
-1, 0, 1
Factor 4/3*b - 2*b**2 + 0.
-2*b*(3*b - 2)/3
Let d(c) be the first derivative of -c**6/45 - c**5/30 + c**4/18 + c**3/9 - 4*c - 7. Let z(x) be the first derivative of d(x). Determine n, given that z(n) = 0.
-1, 0, 1
Let w(c) be the first derivative of c**2 + 1/6*c**4 + 1/30*c**5 + 1/3*c**3 - 3 + 0*c. Let q(t) be the second derivative of w(t). Factor q(l).
2*(l + 1)**2
Let x = -13225508 - -9443010799/714. Let y = -3/238 - x. Let y*f**3 - 8/3*f**4 + 2/3*f**5 + 4/3*f**2 + 4/3 - 10/3*f = 0. Calculate f.
-1, 1, 2
Let j be (-4)/(-14) - (-2)/(-7). Let d(k) be the second derivative of 2/5*k**2 + 1/5*k**3 + j + 1/30*k**4 + 2*k. Factor d(a).
2*(a + 1)*(a + 2)/5
Suppose t = 5*t. Suppose 0 = -k - k + 4. Determine i, given that 1/4*i**k + t*i + 0 = 0.
0
Let 16/9 - 4/3*x**2 - 16/9*x = 0. What is x?
-2, 2/3
Let j be (-23)/(-92) + 6/(-28). Let a(u) be the second derivative of 1/14*u**3 - j*u**4 - 3/140*u**5 - u + 0 + 3/14*u**2. Determine t, given that a(t) = 0.
-1, 1
Let c be 25/(-30)*507/(-2). Let j = 213 - c. Factor -7/4*o**4 + 1/2*o**3 - 1/2*o + j*o**2 + 0.
-o*(o - 1)*(o + 1)*(7*o - 2)/4
Suppose i = -6*i. Let k(c) be the second derivative of 1/3*c**3 + 0*c**2 - 1/6*c**4 + i + 3*c. Solve k(x) = 0.
0, 1
Suppose 4*v - 12*v = 2*v. Let r(f) be the third derivative of 3/80*f**6 - 1/35*f**7 + v + 5/672*f**8 + 0*f - 1/60*f**5 + 2*f**2 + 0*f**3 + 0*f**4. Factor r(c).
c**2*(c - 1)**2*(5*c - 2)/2
Suppose -5*j + 4*w = 8, 0 = j - 0*w - 2*w + 4. Factor 2*p - 3*p**2 + 4*p**2 + 3*p**2 + j*p**2 + 2*p**3.
2*p*(p + 1)**2
Let a be 3/1 + (5 - 7). Let c(j) = j**5 - j**2 - j - 1. Let m(y) = 12*y**4 + 18*y**3 + 15*y**2 + 6*y + 3. Let l(o) = a*m(o) + 3*c(o). Factor l(k).
3*k*(k + 1)**4
Let r be (-2 + 0)/(3*-10). Let l(s) be the second derivative of 3/10*s**5 + 0 + s + 1/2*s**4 + 1/3*s**3 + 0*s**2 + r*s**6. Factor l(j).
2*j*(j + 1)**3
Let n(a) be the first derivative of a**7/14 + 3*a**6/10 + 9*a**5/20 + a**4/4 - a - 3. Let m(c) be the first derivative of n(c). Solve m(z) = 0 for z.
-1, 0
Let i(p) be the third derivative of -1/70*p**7 + 0*p + 0 + 0*p**5 + 0*p**3 + 0*p**4 + 1/40*p**6 - 4*p**2. Factor i(a).
-3*a**3*(a - 1)
Let y(u) be the third derivative of 0*u**3 - 4*u**2 + 1/36*u**4 + 1/180*u**5 + 0 + 0*u. Factor y(a).
a*(a + 2)/3
Let s(k) be the third derivative of 3*k**2 + 0 + 0*k + 1/20*k**4 + 1/10*k**3 + 1/100*k**5. Factor s(o).
3*(o + 1)**2/5
Let n(q) = 0 - 10*q**2 - 6*q**2 - 5*q**2 - 1 - 10*q - 12*q**3. Let l(z) = z + 1. Let m(i) = 4*l(i) + n(i). Factor m(f).
-3*(f + 1)**2*(4*f - 1)
Determine x, given that x**2 - 3/2 - 2*x + 2*x**3 + 1/2*x**4 = 0.
-3, -1, 1
Suppose 7*l = 5*l + 6. Let r be l/(-4)*(-56)/63. Find u such that r + 2*u**2 + 2/3*u**3 + 2*u = 0.
-1
Let m(c) be the third derivative of c**7/1155 + c**6/220 + c**5/110 + c**4/132 - c**2. Factor m(r).
2*r*(r + 1)**3/11
Factor 63*o + 13 - 3*o**4 - 13 - 3*o**2 + 54 - 15*o**3.
-3*(o - 2)*(o + 1)*(o + 3)**2
Suppose 3*a - 12 = -2*h, 0*a - 3*a - h = -9. Factor -12*w - 41*w**3 - 4*w + 48*w**a + 69*w**3.
4*w*(w + 2)*(7*w - 2)
Let d(g) be the third derivative of g**5/210 - g**3/21 - 9*g**2. Let d(x) = 0. Calculate x.
-1, 1
Let w(d) be the first derivative of 7*d**5/10 - d**4/3 - 3*d + 3. Let x(z) be the first derivative of w(z). Factor x(m).
2*m**2*(7*m - 2)
Let n(m) be the second derivative of -m**6/14 - 3*m**5/20 - m**4/14 - 7*m. Factor n(o).
-3*o**2*(o + 1)*(5*o + 2)/7
Let y = -1863/44 - 53/22. Let w = 45 + y. Factor -1/4*q**2 + w + 0*q.
-(q - 1)*(q + 1)/4
Find f, given that -2/7*f**5 + 4/7*f**4 + 2/7*f + 0 + 0*f**3 - 4/7*f**2 = 0.
-1, 0, 1
Factor -10*i**2 - 3*i**3 + 7*i**3 + 6*i**2.
4*i**2*(i - 1)
Let v(l) be the second derivative of l**6/255 + l**5/170 - l**4/51 - 13*l. Let v(a) = 0. Calculate a.
-2, 0, 1
Let q(c) be the first derivative of -c**5/180 + c**3/18 - c**2 - 2. Let j(h) be the second derivative of q(h). Determine w so that j(w) = 0.
-1, 1
Let o(h) be the second derivative of -h**9/2520 + 3*h**8/2800 - h**6/600 + h**3/3 - h. Let s(n) be the second derivative of o(n). Solve s(v) = 0.
-1/2, 0, 1
Let n be -3 + (-4)/(-1) + 1. Let d = -11 - -35/3. Suppose d*y**n - 2/3 + 0*y = 0. What is y?
-1, 1
Let n(a) be the first derivative of -5*a**6/6 + 3*a**5 - 5*a**4/4 - 5*a**3 + 5*a**2 - 2. Solve n(l) = 0.
-1, 0, 1, 2
Let i(k) = k**2 - k + 1. Let s(l) = -l**3 - 8*l**2 - 25*l - 15. Let u(r) = 5*i(r) - 5*s(r). Suppose u(x) = 0. What is x?
-4, -1
Let l = -408 + 2049/5. What is i in l*i**5 + 0 - 6/5*i**4 + 0*i + 0*i**2 - 3/5*i**3 = 0?
-1/3, 0, 1
Let j = -32 - -31. Let l be (-9)/(-27) - j/(-3). Solve l - 2/3*m**2 + 2/3*m**3 + 0*m = 0 for m.
0, 1
Let h be (2 + 0)*(2 + -1). Suppose -4*f = -w - 14, -4*w - f + h*f + 4 = 0. Suppose -6*q**w + 3*q + 9 - 9 - 7*q = 0. Calculate q.
-2/3, 0
Let -7/4*v - 9/2*v**2 - 5/4*v**3 + 3/2 = 0. Calculate v.
-3, -1, 2/5
Let s = 8 - 4. Suppose o + 0*o = s. Let h(i) = 1. Let c(w) = w**2 - 4*w. Let m(f) = o*h(f) + c(f). What is t in m(t) = 0?
2
Suppose 5*t - 6 = -1. Factor -11*m - m**2 + 11*m + t.
-(m - 1)*(m + 1)
Let w(x) be the second derivative of x**4/8 - x**3 + 9*x**2/4 - 17*x. Factor w(z).
3*(z - 3)*(z - 1)/2
Let o be (-2 - (-13)/6)/((-27)/(-243)). Find b such that b**3 - o*b**2 + b - 1/4 - 1/4*b**4 = 0.
1
Let b(x) be the third derivative of 0*x + 0 + 1/60*x**5 - 1/6*x**3 + 8*x**2 + 0*x**4. Factor b(a).
(a - 1)*(a + 1)
Suppose -3*a = -0*a + 5*u + 7, a - 2*u - 5 = 0. Let y = 1 + a. What is s in 4*s**3 + 0*s**y - s**2 - 3*s**3 = 0?
0, 1
Let h = -9 + 11. Suppose -4*k = -2*k - 6. Factor -14/3*x**h - 10/3*x**k - 4/3*x + 0.
-2*x*(x + 1)*(5*x + 2)/3
Let j(b) = b**3 + b**2 + 2. Let c(a) = -3*a**3 - 2*a**2 + a - 5. Let i(p) = -4*c(p) - 10*j(p). Solve i(y) = 0.
-1, 0, 2
Factor 3/4*a**2 + 6*a + 21/4.
3*(a + 1)*(a + 7)/4
Let u(n) be the third derivative of -n**5/90 - n**4/12 + 3*n**2. Factor u(v).
-2*v*(v + 3)/3
Let z be (-3)/(((-30)/(-14))/(-5)). Let k be (8/14)/(2/z). Factor 2/9*b - 2/9*b**k + 2/9*b**4 + 0 - 2/9*b**3.
2*b*(b - 1)**2*(b + 1)/9
Let n be ((-2)/4)/((-8)/48). Determine c, given that -3 - 39*c**2 + 33*c - 151*c**3 - 3 + 163*c**n = 0.
1/4, 1, 2
Let g(x) be the first derivative of -x**7/420 - x**6/180 + x**5/60 + x**4/12 - 4*x**3/3 + 5. Let d(j) be the third derivative of g(j). Factor d(m).
-2*(m - 1)*(m + 1)**2
Suppose 4*b = 3*b + 4. Factor -2*z**4 - 2*z**2 + 4*z**2 - z**3 + 5*z**3 + b*z**4.
2*z**2*(z + 1)**2
Let u(x) = x + 1. Let d be 1 - (4 - 10)/(-3). Let i(v) = 4*v**2 + 2*v + 10. Let j(b) = d*i(b) + 10