= 5*b + 234, 4*q - 11 = b + 29. Let c be 4*(-3)/b*1. Factor 2*k + c*k**3 + 5/4*k**2 + 1.
(k + 1)*(k + 2)**2/4
Let z(n) be the first derivative of -5*n**6/9 + 28*n**5/5 - 91*n**4/6 - 20*n**3/9 + 32*n**2 - 64*n/3 + 42. Let z(j) = 0. What is j?
-1, 2/5, 1, 4
Let s = -371/24 - -31/2. Let z(c) be the third derivative of 0 - 1/240*c**5 - s*c**3 + c**2 + 0*c - 1/48*c**4. Let z(p) = 0. Calculate p.
-1
Let m(t) be the second derivative of -1/2*t**2 + 1/4*t**3 + 0 - 1/24*t**4 + 3*t. Factor m(o).
-(o - 2)*(o - 1)/2
Let s(w) = w**2 + 3*w + 5. Let n be s(-3). Let p(y) be the second derivative of 1/40*y**n + 0 - y - 1/4*y**3 + 1/2*y**2 + 0*y**4. Solve p(q) = 0.
-2, 1
Find j, given that -16/3*j + 2/3*j**2 + 32/3 = 0.
4
Let x(n) be the third derivative of n**6/270 + n**5/45 + n**4/18 + 2*n**3/3 - 6*n**2. Let y(m) be the first derivative of x(m). Suppose y(u) = 0. Calculate u.
-1
Let b be ((-3)/30)/(6/(-5)). Let n = b - -1/6. Factor -1/4*o**2 + 0*o + n*o**4 + 0 - 1/4*o**5 + 1/4*o**3.
-o**2*(o - 1)**2*(o + 1)/4
Let b(u) be the third derivative of u**5/60 - u**4/24 + 10*u**2. Factor b(i).
i*(i - 1)
Suppose 3*o - 3*u - 15 = 0, 2*u = -o - 2 - 2. Let s be -2*9/6 - -6. Factor 2/3*c**s + 0*c**4 + 0 - 1/3*c**5 - 1/3*c + 0*c**o.
-c*(c - 1)**2*(c + 1)**2/3
Let a(f) = -f**4 + 20*f**3 - 32*f**2 + 16*f + 3. Let k(u) = -u**4 - 1. Let j = 20 + -17. Let l(t) = j*k(t) + a(t). Factor l(b).
-4*b*(b - 2)**2*(b - 1)
Let z(n) be the first derivative of -6 + 0*n + 2*n**2 - 2/3*n**3 - 1/2*n**4. Factor z(s).
-2*s*(s - 1)*(s + 2)
Let b be -2*((-12)/16)/3. Let m(p) be the first derivative of -b*p**4 + 2/3*p**3 - 1/6*p**6 + p - 1 - 3/5*p**5 + 3/2*p**2. What is u in m(u) = 0?
-1, 1
Let u(r) = -44*r**3 - 92*r**2 + 8*r + 48. Suppose -17 + 41 = -3*w. Let o(g) = 15*g**3 + 31*g**2 - 3*g - 16. Let t(l) = w*o(l) - 3*u(l). Factor t(y).
4*(y + 1)*(y + 2)*(3*y - 2)
Let x = 3 + -2. Let t be (-18)/(-40) - x/5. Factor -1/4*k + 1/4*k**3 - t + 1/4*k**2.
(k - 1)*(k + 1)**2/4
Let v be (-1 - (-1 - 1))*2. Determine s so that 7*s**3 + 32*s**5 + 5*s**4 - 4*s**v - 36*s**5 - s**4 - 3*s**3 = 0.
-1, 0, 1
Let q = 0 + 3. Let y(w) be the first derivative of 4*w**q + 2*w - 5/4*w**4 - 9/2*w**2 + 1. What is h in y(h) = 0?
2/5, 1
Factor 0 - 68*w + 70*w + 0 - 4*w**2 + 2*w**3.
2*w*(w - 1)**2
Let l be (-2)/(-10*1/4). Suppose -l - 6/5*g + 4/5*g**3 + 6/5*g**2 = 0. Calculate g.
-2, -1/2, 1
Let p(n) be the second derivative of -n**8/1176 + 2*n**7/735 - n**5/105 + n**4/84 - n**2 + n. Let h(r) be the first derivative of p(r). Factor h(a).
-2*a*(a - 1)**3*(a + 1)/7
Let a(y) be the third derivative of -2*y**7/21 + 29*y**6/24 - 7*y**5/12 + 5*y**2. Find q such that a(q) = 0.
0, 1/4, 7
Let s(n) be the third derivative of n**8/1848 + n**7/385 - n**6/660 - n**5/30 - n**4/11 - 4*n**3/33 + 2*n**2 - n. Find z, given that s(z) = 0.
-2, -1, 2
Let f be 1/(-9)*6/(-1). Find v, given that -2*v**4 + 4/3*v**2 + 2/3*v**5 + f + 4/3*v**3 - 2*v = 0.
-1, 1
Let v(x) be the first derivative of -1/10*x**4 - 1 + 0*x**3 + 0*x + 2/25*x**5 + 0*x**2. Find o, given that v(o) = 0.
0, 1
Let l = -45 + 229/5. Find n, given that -2*n**2 - l + 14/5*n = 0.
2/5, 1
Let f(m) = m + 1. Let x be f(2). Let p(g) be the first derivative of -g**2/2 + 1. Let k(l) = l**2 + 5*l + 1. Let v(t) = x*p(t) + k(t). Factor v(h).
(h + 1)**2
Let z(f) be the second derivative of f**6/360 - f**5/120 - f**3/6 - f. Let c(p) be the second derivative of z(p). Let c(q) = 0. What is q?
0, 1
Let g(x) be the first derivative of -5*x**4/2 - 26*x**3/3 + 6*x**2 + 7. Factor g(d).
-2*d*(d + 3)*(5*d - 2)
Let n(h) = 2*h - 9. Let j be n(8). Let w be (-5)/j + 0 + 1. Solve 2/7*d**4 + 6/7*d**2 + 0 + w*d + 6/7*d**3 = 0.
-1, 0
Factor 1/4*o**2 + 1/2*o + 0.
o*(o + 2)/4
Let b be (-15)/(0 - (-1 - -2)). Suppose 5*a - 5 - b = 0. Factor 6*g**a - 2*g**3 + 4*g - 4*g**3 + 2*g**3 - 6*g**2.
2*g*(g - 1)*(g + 1)*(3*g - 2)
Let s(v) be the first derivative of -1/48*v**5 + v**3 - 1/24*v**4 + 0*v - 1/360*v**6 + 0*v**2 + 2. Let k(u) be the third derivative of s(u). Factor k(x).
-(x + 2)*(2*x + 1)/2
Let d(k) be the first derivative of 9 + 0*k**2 + 0*k + 1/2*k**3 + 3/8*k**4. Solve d(n) = 0 for n.
-1, 0
Let y(u) = 12*u**3 + 72*u**2 + 43*u + 17. Let b(z) = 2*z**3 + 12*z**2 + 7*z + 3. Let o(j) = -34*b(j) + 6*y(j). Determine q so that o(q) = 0.
-5, -1, 0
Let d(s) be the third derivative of -s**7/50 - 3*s**6/50 + 11*s**5/100 + 3*s**4/10 - 2*s**3/5 + 3*s**2. Find p such that d(p) = 0.
-2, -1, 2/7, 1
Let j(n) = 7*n**2 + 10*n + 4. Let z(s) be the third derivative of 13*s**5/60 + 19*s**4/24 + 4*s**3/3 + 2*s**2. Let k(o) = 11*j(o) - 6*z(o). Factor k(r).
-(r + 2)**2
Let s(n) = 6*n**3 + 10*n**2 + 10*n + 6. Let y(z) = -9*z**3 - 24*z - 18 + 3*z - 21*z**2 + 5 - 4*z**3. Let a(r) = -9*s(r) - 4*y(r). Suppose a(k) = 0. What is k?
-1
Let w(m) be the third derivative of -m**6/80 + 3*m**5/40 - 3*m**4/16 + m**3/4 + 9*m**2. Find a, given that w(a) = 0.
1
Let y(x) = -7*x + 65. Let z be y(9). Suppose 6/5*a**z + 0 - 4/5*a**3 - 2/5*a = 0. What is a?
0, 1/2, 1
Suppose 16 = 3*t - 2. Let f(p) be the second derivative of -3*p + 7/10*p**5 + 0 - 1/3*p**3 + 4/15*p**t + 1/3*p**4 + 0*p**2. Let f(s) = 0. What is s?
-1, 0, 1/4
Let m(y) be the first derivative of -1/2*y**4 + 0*y + 2/5*y**5 + 0*y**2 - 2/3*y**3 - 1 + 1/3*y**6. Determine j so that m(j) = 0.
-1, 0, 1
Let j(d) be the third derivative of d**5/240 + d**4/24 + d**3/6 - 31*d**2. Factor j(z).
(z + 2)**2/4
Factor -6*d**4 - 2*d**4 + d**4 - 5*d**3 + 12*d**4.
5*d**3*(d - 1)
Let c(x) = -x**2 - 3*x + 4. Let v(g) = g**3 + 3*g**2 - 4*g - 4. Let k be v(-4). Let p be c(k). Solve p + 2/5*i - 2/5*i**2 = 0 for i.
0, 1
Factor -363 - 4*j - 8*j**3 + 363 + 10*j**2 + 2*j**4.
2*j*(j - 2)*(j - 1)**2
Let g(k) = 9*k**4 - 7*k**3 + k**2 + 7*k. Let b(o) = -4*o**4 + 4*o**3 - 4*o. Let z(q) = 5*b(q) + 2*g(q). Factor z(l).
-2*l*(l - 3)*(l - 1)*(l + 1)
Suppose -3*x - 75 = -87. Factor 0 - 15/2*i**2 - 21/2*i**3 - 3/2*i - 9/2*i**x.
-3*i*(i + 1)**2*(3*i + 1)/2
Let k be (0 - 20/15)*-3. Suppose -5 = k*q + y, -6 = 2*y + 4. Let -1/3 + 1/3*h**2 + q*h = 0. What is h?
-1, 1
Let n(p) be the first derivative of p**6/6 + 12*p**5/5 - 3*p**4 - 1. Let k(l) = 6*l**5 + 60*l**4 - 60*l**3. Let m(q) = 4*k(q) - 21*n(q). Factor m(x).
3*x**3*(x - 2)**2
Suppose -5*w + 55 = -5*h, -2*w - h = -4*h - 21. Suppose -i = i - 4*b + w, -4*i = -5*b + 15. Factor 2/5*c**2 + i*c + 2/5*c**5 + 0 + 6/5*c**3 + 6/5*c**4.
2*c**2*(c + 1)**3/5
Let j(d) be the first derivative of d**3 + 18*d**2/5 + 12*d/5 + 4. Factor j(s).
3*(s + 2)*(5*s + 2)/5
Let f(b) be the first derivative of -b**5/12 - 2*b**4/9 - b**3/18 + b**2/3 - b - 3. Let k(a) be the first derivative of f(a). What is x in k(x) = 0?
-1, 2/5
Let b(x) = -2*x**2 - 54*x - 392. Let p(h) = 4*h**2 + 107*h + 784. Let i(n) = 5*b(n) + 2*p(n). Suppose i(s) = 0. What is s?
-14
Suppose 68 = 4*t - 0*t. Let x be 2*(t/(-8) - -3). Solve -1/2 - 5/4*m + x*m**2 = 0.
-2/7, 1
Factor 1/2*w - 1 + w**2 - 1/2*w**3.
-(w - 2)*(w - 1)*(w + 1)/2
Suppose -33 = -4*r + 139. Let y = 389/9 - r. Factor -2/9 - y*u**3 - 2/3*u**2 - 2/3*u.
-2*(u + 1)**3/9
Let j = 32 - 29. Let k(z) be the second derivative of 0*z**2 + 0*z**3 - 1/70*z**5 - j*z - 1/42*z**4 + 0. Factor k(c).
-2*c**2*(c + 1)/7
Let w = 29461/120 - 491/2. Let z(j) be the third derivative of 4/3*j**3 + 1/10*j**5 - w*j**6 - 1/2*j**4 + 0*j - 2*j**2 + 0. What is f in z(f) = 0?
2
Suppose -1 = -5*h + 19. Let n(t) be the first derivative of 0*t + 0*t**h + 2/5*t**5 - 2 - 2/3*t**3 + 0*t**2. Find m such that n(m) = 0.
-1, 0, 1
Let v(i) be the third derivative of i**6/1980 - i**5/110 + 3*i**4/44 + i**3/2 + i**2. Let n(r) be the first derivative of v(r). Factor n(x).
2*(x - 3)**2/11
Let b(m) be the third derivative of m**9/2520 + m**8/3360 - m**7/1890 - m**4/24 - 3*m**2. Let d(o) be the second derivative of b(o). Factor d(a).
2*a**2*(3*a - 1)*(3*a + 2)/3
Let j(f) = 1. Let b(a) = -5*a**4 + 5*a**3 + 15*a**2 - 25*a + 5. Let s(z) = b(z) + 5*j(z). Let s(o) = 0. What is o?
-2, 1
Let v be 40/18 + (-4)/18. Let w be (-12)/20*v/(-6). Determine d so that 0 - w*d**3 - 2/5*d**2 - 1/5*d = 0.
-1, 0
Let l(i) be the third derivative of -i**5/30 + i**4/12 + 2*i**3/3 + 14*i**2. Factor l(n).
-2*(n - 2)*(n + 1)
Let x = 21 + -16. Factor 2/3*b - 8/3*b**2 + 2/3*b**x - 8/3*b**4 + 0 + 4*b**3.
2*b*(b - 1)**4/3
Let d be (-2)/(-6) - -2*2/(-12). Fact