4)/(48/(-6)) + (-2)/(-2). Factor m - l*m**2 + 0 - 7/2*m**4 - 6*m**3.
-m*(m + 1)**2*(7*m - 2)/2
Let b = 761/3 - 253. Determine y, given that b*y**3 + 0 + 0*y + 2/3*y**2 = 0.
-1, 0
Let f be (3/9)/(1/18). Let x be 2/(-6) - (-14)/f. Factor 0*s - 2/3*s**x + 1/3*s**4 + 0*s**3 + 1/3.
(s - 1)**2*(s + 1)**2/3
Let w(f) be the third derivative of 0 + 0*f + 1/9*f**3 + 0*f**4 - 1/90*f**5 - f**2. Solve w(r) = 0.
-1, 1
Solve 0 - 12/7*z - 18/7*z**2 - 6/7*z**3 = 0 for z.
-2, -1, 0
Let l(k) be the second derivative of 0*k**3 + 0*k**2 + 1/40*k**6 + 3/80*k**5 - 2*k - 1/56*k**7 - 1/16*k**4 + 0. Factor l(m).
-3*m**2*(m - 1)**2*(m + 1)/4
Let y(d) = -32*d**3 - 2*d**2 - 17. Let i(a) = -11*a**3 - a**2 - 6. Let k(h) = 17*i(h) - 6*y(h). Determine x so that k(x) = 0.
0, 1
Let m(f) be the second derivative of f**5/60 - 2*f**3/3 - 8*f**2/3 + 29*f. Factor m(x).
(x - 4)*(x + 2)**2/3
Let d(h) be the third derivative of h**10/170100 - h**9/90720 - h**8/90720 + h**5/10 - 6*h**2. Let a(j) be the third derivative of d(j). Factor a(o).
2*o**2*(o - 1)*(4*o + 1)/9
Let n(h) = -14*h + 10. Let f be n(7). Let a = -349/4 - f. Factor 0 - 1/4*r - a*r**2.
-r*(3*r + 1)/4
Let b(i) = i**3 + 8*i**2 + i - 2. Let u(y) = -9*y**2 + 3. Suppose -3*x = 5*w - 2*w, 3*w + 12 = 3*x. Let k(c) = w*u(c) - 3*b(c). Factor k(n).
-3*n*(n + 1)**2
Let b be ((-12)/10)/((-78)/260). Suppose 9/5*v - 6/5 + 3/5*v**2 + 3/5*v**b - 9/5*v**3 = 0. What is v?
-1, 1, 2
Let o(j) be the third derivative of -j**6/600 - j**5/150 - j**4/120 + 4*j**2. Find z such that o(z) = 0.
-1, 0
Let s(m) be the third derivative of -1/540*m**6 + 2*m**2 + 0 + 0*m + 0*m**5 + 2/27*m**3 + 1/36*m**4. Factor s(j).
-2*(j - 2)*(j + 1)**2/9
Let m be (-4)/3*1/(28/(-6)). Solve 4/7 - 2/7*a**2 + m*a = 0 for a.
-1, 2
Let z(b) be the second derivative of -b**4/12 + b**3 - 9*b**2/2 - 15*b. Factor z(r).
-(r - 3)**2
Factor -1/4 - 1/4*j**2 + 1/2*j.
-(j - 1)**2/4
Suppose 9 = -2*f + 57. Let -5*b**3 + f*b**2 + 4*b + 3*b**3 + 22*b**3 = 0. Calculate b.
-1, -1/5, 0
Let d(p) be the third derivative of -3*p**8/448 - p**7/35 - 11*p**6/240 - p**5/30 - p**4/96 + 10*p**2. Suppose d(j) = 0. Calculate j.
-1, -1/3, 0
Factor 8/11 - 24/11*y - 14/11*y**2.
-2*(y + 2)*(7*y - 2)/11
Let t(u) = u**5 + 3*u**4 - 3*u**3 - u**2 + 2*u - 2. Let n(b) = -b**5 + b**3 - b**2 + 1. Let v(o) = 2*n(o) + t(o). Factor v(w).
-w*(w - 2)*(w - 1)**2*(w + 1)
Let j be (-22)/(-33)*1/2. Let s(z) be the second derivative of 0*z**4 + 2/9*z**3 - 1/15*z**5 - j*z**2 - 3*z + 1/45*z**6 + 0. Factor s(p).
2*(p - 1)**3*(p + 1)/3
Let r be (-2)/10 - (-11)/5. Suppose -2*i = i. Factor -2*c**3 - 3*c + 2 + r*c - 2*c**2 + i*c**2 + 3*c.
-2*(c - 1)*(c + 1)**2
Let t = 25 - 23. Let m(n) be the third derivative of 1/30*n**6 - 2*n**t + 0 + 1/105*n**7 + 0*n + 0*n**4 + 1/30*n**5 + 0*n**3. Factor m(s).
2*s**2*(s + 1)**2
Let w(v) be the first derivative of 0*v**2 + 3 + 1/6*v**3 + 1/20*v**5 + 1/6*v**4 - 2*v. Let n(t) be the first derivative of w(t). Suppose n(c) = 0. Calculate c.
-1, 0
Let u(f) be the third derivative of 0 - 1/9*f**3 - 8*f**2 + 0*f**5 - 1/24*f**4 + 1/360*f**6 + 0*f. Factor u(p).
(p - 2)*(p + 1)**2/3
Let s(q) = -q**3 - 10*q**2 + 3. Let i be s(-10). Suppose -2 = -4*z + i*z. Suppose 2/9*o**3 - 2/9*o - 2/9*o**z + 2/9 = 0. Calculate o.
-1, 1
Let o = 798601/242 - 3300. Let h = 477/1694 + o. Factor 2/7*t**2 + 4/7*t + h.
2*(t + 1)**2/7
Let p be 0/1 - (0 - 2). Let y = 325 + -2267/7. Suppose 2/7*u**p + y + 8/7*u = 0. Calculate u.
-2
Let v(q) be the first derivative of 0*q**3 + 3 + 0*q + q**2 + 0*q**4 + 0*q**5 + 1/420*q**6. Let n(f) be the second derivative of v(f). Factor n(r).
2*r**3/7
Let f(q) be the second derivative of -q**5/15 + q**4/12 + q**3/3 - 2*q**2 + 3*q. Let n(z) be the first derivative of f(z). Factor n(x).
-2*(x - 1)*(2*x + 1)
Find j such that -2*j**2 + 4*j**5 + 6*j**2 - 8*j**4 + 8*j**2 - 4*j - 4*j**2 = 0.
-1, 0, 1
Suppose -w + 4*x - 14 = -0, 7 = -3*w + 5*x. Let y(g) be the first derivative of -3/2*g**2 + 0*g + 9/2*g**5 + 33/16*g**4 - 3 - 25/8*g**w - 3*g**3. Factor y(s).
-3*s*(s - 1)**2*(5*s + 2)**2/4
Let g(m) be the first derivative of m**6/150 + m**5/100 - 2*m - 4. Let w(a) be the first derivative of g(a). Factor w(r).
r**3*(r + 1)/5
Let g(w) be the second derivative of -w**7/21 - 7*w**6/45 - w**5/6 - w**4/18 + 38*w. Find j, given that g(j) = 0.
-1, -1/3, 0
Let k(u) = 5*u**2 - 3*u + 2. Let v(p) = -6*p**2 + 4*p - 3. Let g(t) = -5*k(t) - 4*v(t). Find z such that g(z) = 0.
-2, 1
Suppose -5*j = -0*j - 25. Suppose 2*b + 2 = -2*p - 2, 5*p - j*b = 40. Suppose 21*h + 16*h**p - 1 - 3*h**4 - 37*h**2 - h**3 - 5 + 10*h**2 = 0. What is h?
1, 2
Let n(s) = s**4 + s**3 + 2*s**2 - 4*s + 4. Let q(z) = -z**4 - z**3 - 5*z**2 + 7*z - 7. Let a(b) = 7*n(b) + 4*q(b). Factor a(r).
3*r**2*(r - 1)*(r + 2)
Let n be (3 - -21)*8/36*1. Suppose 2/3*k**2 + 32/3 - n*k = 0. What is k?
4
Let p(k) be the second derivative of k**6/90 - k**5/20 + k**4/12 - k**3/18 + 7*k. Let p(h) = 0. What is h?
0, 1
Let k = 53 - 15. Let s be 2 - k/8 - -3. What is g in 1/4*g**2 - 1/2 - s*g = 0?
-1, 2
Let q(y) be the third derivative of y**9/15120 - y**8/6720 - y**7/5040 + y**5/12 - 2*y**2. Let u(n) be the third derivative of q(n). Let u(d) = 0. What is d?
-1/4, 0, 1
Let r(j) be the first derivative of 5*j**6/6 - 15*j**4/2 - 40*j**3/3 - 15*j**2/2 + 37. Let r(f) = 0. What is f?
-1, 0, 3
Suppose 8*t - 14 - 34 = 0. Let a(y) be the first derivative of 0*y + 4 + 8/25*y**5 + 8/15*y**3 - 3/5*y**4 - 1/5*y**2 - 1/15*y**t. Let a(r) = 0. What is r?
0, 1
Let o(a) be the first derivative of 3 - 4/55*a**5 + 2/11*a - 5/22*a**4 - 2/11*a**3 + 1/11*a**2. Solve o(w) = 0.
-1, 1/2
Let m(j) = -2*j**3 + 2*j**2 + 10*j + 5. Let o(c) = -1. Let u(r) = -2*m(r) + 2*o(r). Find g such that u(g) = 0.
-1, 3
Let l be (-14)/4*8/(-14). Let q(u) = -2*u**3 + 5*u + 3. Let c(k) = 2*k**3 - 4*k - 2. Let i(x) = l*q(x) + 3*c(x). Factor i(w).
2*w*(w - 1)*(w + 1)
Factor -18*h + 3/2*h**4 + 27/2 - 3*h**2 + 6*h**3.
3*(h - 1)**2*(h + 3)**2/2
Let s = 117/82 - -3/41. Let c be 4 - ((-210)/12)/(-5). Solve -1/2 - n**4 + s*n**2 + c*n - 1/2*n**3 = 0 for n.
-1, 1/2, 1
Let m(p) = -p**2 + 2*p + 83. Let t be m(10). Determine d so that 0*d - 1/5*d**2 + 2/5*d**t + 0 - 1/5*d**4 = 0.
0, 1
Suppose 0 = 4*s - 23 - 1. Suppose -15 = -s*n + 3*n. Factor 7*y**5 - 3*y**n - 3*y**5 - y**3.
y**3*(y - 1)*(y + 1)
Suppose -20*c + 30 = -10*c. Let p(j) = -j**3 + 7*j**2 - 7*j + 8. Let r be p(6). Let 0*u + 0 + 0*u**r - 2/3*u**c = 0. What is u?
0
Let q = -205/3 + 653/6. Factor 0 + q*d**2 + 81/2*d + 3/2*d**4 + 27/2*d**3.
3*d*(d + 3)**3/2
Let n be ((-24)/18)/((-2)/3). Factor 16*f**3 - 12*f**n + 3*f - 1/4.
(4*f - 1)**3/4
What is h in 15*h - 7*h**3 - 23*h + 4*h**3 + 14*h - 3*h**2 = 0?
-2, 0, 1
Let f(j) be the first derivative of 1/2*j**2 - 1 - 3/8*j**4 - 1/6*j**3 + 0*j. Solve f(w) = 0.
-1, 0, 2/3
Let j be ((0/(-2))/3)/2. Determine n so that -4*n**2 + n + j*n**2 + n**2 + n**3 + n**2 = 0.
0, 1
Let w(t) be the first derivative of -t**4/12 + 2*t**3/9 + t**2/2 + 11. Find u such that w(u) = 0.
-1, 0, 3
Let v be (-6)/((30/(-4))/5). Suppose 0 = -l - l + v. Solve 0*b - 1/3*b**l + 0 - 1/3*b**3 = 0.
-1, 0
Let -5/2 - 5/4*o**2 - 15/4*o = 0. Calculate o.
-2, -1
Let q(c) be the first derivative of c**5/5 + 5*c**4/4 + 2*c**3 - 2*c**2 - 8*c - 35. Find p, given that q(p) = 0.
-2, 1
Let i be (-3)/20*(-2)/180. Let n(z) be the third derivative of 0*z + 0*z**3 + 0 - i*z**6 + z**2 + 1/100*z**5 - 1/60*z**4. Let n(j) = 0. Calculate j.
0, 1, 2
Let n(j) = -6*j**3 - 6*j**2 - 4*j + 6. Let x(t) = -5*t**3 - 5*t**2 - 3*t + 5. Let q(u) = -4*n(u) + 5*x(u). Factor q(c).
-(c - 1)*(c + 1)**2
Let u(r) be the first derivative of -r**7/21 + 4*r**6/15 - 3*r**5/5 + 2*r**4/3 - r**3/3 + r + 2. Let k(b) be the first derivative of u(b). Factor k(h).
-2*h*(h - 1)**4
Let l be 7/28 + (-13)/4. Let s be (-2 + 6/9)*l. Factor -14*y + 6*y**2 + 5*y**3 - 2*y**s - y**3 + 4*y + 4 - 2*y**3.
-2*(y - 1)**3*(y + 2)
Let n(m) be the first derivative of -m**8/560 - m**7/70 + m**6/60 + 3*m**5/10 - 9*m**4/8 + 4*m**3/3 + 6. Let a(r) be the third derivative of n(r). Factor a(j).
-3*(j - 1)**2*(j + 3)**2
Let t(c) be the third derivative of c**7/70 - 3*c**6/50 + 9*c**5/100 - c**4/20 - 27*c**2. Let t(b) = 0. Calculate b.
0, 2/5, 1
Let z(i) be the first derivative of -2*i**3/27 - i**2/3 - 4*i/9 + 37. Solve z(o) = 0.
-2, -1
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