o = 0 for o.
-1/3, 2
Let f(c) be the second derivative of -1/30*c**6 - 3/4*c**4 - c**2 + 4*c + 7/6*c**3 + 0 + 1/4*c**5. Factor f(o).
-(o - 2)*(o - 1)**3
Let u be 2 + ((-20)/35)/(10/(-7)). Factor 18/5 + 2/5*q**2 - u*q.
2*(q - 3)**2/5
Let j(o) be the first derivative of 10*o**5 + 55*o**4/4 - 15*o**3 - 55*o**2/2 - 5*o - 24. Find v such that j(v) = 0.
-1, -1/10, 1
Let f(k) = -k**4 - k**3 - k**2 + 1. Let n(m) = 6*m**4 + 15*m**3 + 18*m**2 - 60*m + 31. Let p(t) = 5*f(t) + n(t). Factor p(x).
(x - 1)**2*(x + 6)**2
Let k(t) = -4*t**5 + 9*t**4 + 3*t**3 - 8*t + 8. Let i(u) = -u**5 + 3*u**4 + u**3 - 3*u + 3. Let c = 7 + 1. Let g(l) = c*i(l) - 3*k(l). Factor g(p).
p**3*(p - 1)*(4*p + 1)
Let y(o) = -6*o**4 - 13*o**3 - 47*o**2 - 13*o - 6. Let c(u) = 3*u**4 + 6*u**3 + 24*u**2 + 6*u + 3. Let v(x) = 11*c(x) + 6*y(x). Solve v(k) = 0 for k.
-1
Let f(x) be the third derivative of -x**7/135 + 19*x**6/540 + x**5/45 - 4*x**2. Suppose f(l) = 0. Calculate l.
-2/7, 0, 3
Let o be (-6 - 1255/(-200)) + (-2)/8. Let l(a) be the third derivative of 0 + 0*a - 3*a**2 - o*a**4 - 1/100*a**5 + 0*a**3. Factor l(c).
-3*c*(c + 1)/5
Let u(x) be the third derivative of -x**7/840 + x**6/180 - x**5/120 - x**3/2 - x**2. Let a(y) be the first derivative of u(y). Factor a(l).
-l*(l - 1)**2
Let w(j) be the second derivative of j**8/672 - j**6/120 + j**4/48 + 3*j**2/2 - 3*j. Let k(x) be the first derivative of w(x). Factor k(s).
s*(s - 1)**2*(s + 1)**2/2
Let j(s) = -21*s**5 - 21*s**4 - 15*s**3 - 15*s**2 - 18*s + 18. Let i(l) = -l**5 - l**4 - l**3 - l**2 - l + 1. Let t(w) = -18*i(w) + j(w). Factor t(h).
-3*h**2*(h - 1)*(h + 1)**2
Let v be ((-2)/3)/((-4)/6). Let d be (-1)/(0 - v/2). Factor -2*c + d*c**2 - 5*c**2 - c**3 + 0*c.
-c*(c + 1)*(c + 2)
Factor -8/7*a**3 - 4/7*a**2 + 0 + 12/7*a.
-4*a*(a - 1)*(2*a + 3)/7
Suppose 2*u - 5 = -m, 4*m - 1 = -u + 5. Find v, given that -6 - 6*v - 3/2*v**u = 0.
-2
Let a = -290 - -9572/33. Let z(c) be the first derivative of -1/11*c**2 + 2/11*c - 4 - a*c**3 + 1/22*c**4. Suppose z(r) = 0. What is r?
-1, 1
Let a(l) be the third derivative of l**7/42 + 7*l**6/24 + 7*l**5/6 + 5*l**4/3 - l**2 + 5. Factor a(k).
5*k*(k + 1)*(k + 2)*(k + 4)
Let a be (1/3*0)/1. Factor a*v + 0*v**3 + v - v**3.
-v*(v - 1)*(v + 1)
Let n(p) = p**2 + 8*p - 5. Let x be n(-9). Let u = -1 + x. Suppose -o**2 - 6*o**3 + 3*o**5 - u - o + 4*o**2 + 4*o + 3*o**2 - 3*o**4 = 0. What is o?
-1, 1
Suppose -4*u + 3 = -5. Factor -8*m**u - 3*m**4 + 2*m - 5*m**4 + 10*m**3 + 2*m**5 + 2*m**3.
2*m*(m - 1)**4
Let z(k) be the third derivative of -k**7/42 - k**6/3 - 5*k**5/4 + 5*k**4/3 + 40*k**3/3 - 15*k**2. Factor z(x).
-5*(x - 1)*(x + 1)*(x + 4)**2
Let c(d) be the first derivative of -d**6/30 + 2*d**5/25 - d**4/20 - 2. Factor c(s).
-s**3*(s - 1)**2/5
Let u be (-1098)/2212 - 2/(-4). Let z = 2194/4977 + u. Find j such that -10/9*j - z - 2/3*j**2 = 0.
-1, -2/3
Let j(n) be the second derivative of n**7/9 - 4*n**6/15 + n**5/10 + n**4/9 + 4*n. Find i, given that j(i) = 0.
-2/7, 0, 1
Let k(g) be the second derivative of g**6/120 - g**4/16 + g**3/12 + 8*g. Find h, given that k(h) = 0.
-2, 0, 1
Let r be (-42 + 60)*(-1)/(-6). Factor 9/2*q + 3/2*q**r + 9/2*q**2 + 3/2.
3*(q + 1)**3/2
Determine s, given that 4*s**4 - 9*s**2 + 86*s + 46*s**3 + 28 + 99*s**2 - 2*s**4 - 12*s**3 = 0.
-14, -1
Let g(q) be the third derivative of 9*q**7/490 - 13*q**6/56 + 113*q**5/140 - 67*q**4/56 + 5*q**3/7 + 2*q**2 - 7. What is d in g(d) = 0?
2/9, 1, 5
Let o be 0 - (-4 + 0) - 0. Suppose -m + o = m. Factor 6*r**2 + 4 - 5 + 3 + 6*r + m*r**3.
2*(r + 1)**3
Factor 0*p - 1/3*p**2 + 0.
-p**2/3
Let f be (-15 + 20)/((-2)/(-5)). Let n = f + -12. Factor -y**3 + 0*y**2 + y - 1/2*y**4 + n.
-(y - 1)*(y + 1)**3/2
Let n(g) be the second derivative of g**4/2 + g**3/3 + 5*g. Solve n(z) = 0 for z.
-1/3, 0
Let a(p) be the third derivative of -2*p**7/105 - 4*p**6/15 - 22*p**5/15 - 4*p**4 - 6*p**3 + 11*p**2. Factor a(i).
-4*(i + 1)**2*(i + 3)**2
Let a be ((-6)/4)/(5 + -8)*0. Let y(d) be the third derivative of -3*d**2 + 1/735*d**7 - 1/420*d**6 + 0*d + 1/84*d**4 - 1/210*d**5 + 0*d**3 + a. Factor y(h).
2*h*(h - 1)**2*(h + 1)/7
Let s(y) = y**3 + 9*y**2 + 7*y - 2. Let r be s(-8). Let m be 76/r + (-18)/27. Factor 3 + 18*k**2 + 23*k + 3*k**4 + 0 - 11*k + m*k**3.
3*(k + 1)**4
Let l(w) be the first derivative of 3/14*w**4 - 10/21*w**3 + 0*w + 2/35*w**5 + 2/7*w**2 - 5 - 1/21*w**6. Factor l(v).
-2*v*(v - 1)**3*(v + 2)/7
Let h(a) be the first derivative of -9/2*a**2 + 3/5*a**5 + 3 + a**3 + 9/4*a**4 - 6*a. Factor h(i).
3*(i - 1)*(i + 1)**2*(i + 2)
Factor -4/5 - 4/5*b + 1/5*b**4 + 4/5*b**3 + 3/5*b**2.
(b - 1)*(b + 1)*(b + 2)**2/5
Let z(h) = 3*h**2 + 10*h - 1. Suppose -p - 2*p = 12. Let c(q) = -3*q**2 - 9*q. Let d(r) = p*c(r) - 3*z(r). Find w such that d(w) = 0.
-1
Solve 0 - 2/5*n + 11/5*n**2 - 9/5*n**3 = 0 for n.
0, 2/9, 1
Let t(g) be the second derivative of 0 + 1/35*g**5 + 0*g**3 + 0*g**6 + 7*g - 2/147*g**7 + 0*g**2 + 0*g**4. Suppose t(q) = 0. Calculate q.
-1, 0, 1
Find i such that 4*i**3 - 5/3*i + 8/3*i**2 - 1/3 = 0.
-1, -1/6, 1/2
Let t(q) = -3*q**4 + 3*q**3 + 3*q**2 - 3*q - 6. Let f(i) = i**2. Let y(b) = -6*f(b) - t(b). Determine w so that y(w) = 0.
-1, 1, 2
Let i be (2 - 1) + (-9 - -12) + -2. Let t(l) be the first derivative of 4*l - 2/3*l**3 + l**i + 2. Factor t(f).
-2*(f - 2)*(f + 1)
Let d(q) be the third derivative of q**6/220 + q**5/110 - 5*q**4/44 + 3*q**3/11 + q**2 + 51*q. Factor d(k).
6*(k - 1)**2*(k + 3)/11
Let d(f) = f**4 + 8*f**3 + 12*f**2 + 4*f - 1. Let p(l) = -4*l**4 - 33*l**3 - 49*l**2 - 15*l + 5. Let q(j) = -26*d(j) - 6*p(j). Suppose q(t) = 0. What is t?
-2, -1
Let n(g) = 2*g**4 - 5*g**3 + 3*g**2 - g + 1. Let f(p) = 5*p**4 - 11*p**3 + 7*p**2 - 3*p + 2. Let q(d) = -3*f(d) + 7*n(d). Factor q(r).
-(r - 1)*(r + 1)**3
Factor -42/13*s**3 - 80/13*s**2 + 4/13 - 34/13*s.
-2*(s + 1)**2*(21*s - 2)/13
Let c(n) be the second derivative of n**6/10 + 3*n**5/28 - n**4/14 + 34*n. Determine y so that c(y) = 0.
-1, 0, 2/7
Let x(o) be the first derivative of o**4/4 - o**3 + o**2 + 22. Solve x(d) = 0.
0, 1, 2
Suppose w = 7*w. Let y(h) be the first derivative of -1/4*h**4 - 1/2*h + w*h**2 + 1/2*h**3 - 3. Factor y(q).
-(q - 1)**2*(2*q + 1)/2
What is m in -18/7 + 57/7*m + 3*m**2 = 0?
-3, 2/7
Factor 2/5*u**3 - 4/5 + 0*u**2 - 6/5*u.
2*(u - 2)*(u + 1)**2/5
Let x(c) be the third derivative of 5*c**7/63 + c**6/6 - 11*c**5/90 - c**4/3 + 4*c**3/9 + 7*c**2. Solve x(i) = 0 for i.
-1, 2/5
Let n(b) be the second derivative of b**7/56 + b**6/10 + 3*b**5/80 - 5*b**4/8 - b**3/2 + 3*b**2 + 6*b. Factor n(p).
3*(p - 1)**2*(p + 2)**3/4
Let 1/3 + 4/3*i**2 - 5/3*i = 0. What is i?
1/4, 1
Let s(q) = -q**3 + 4*q**2 + 5*q + 5. Let f be s(5). Suppose -4*b = -5*z + 9, 4*b - 1 - f = 2*z. What is p in -1 - p**4 + 0*p**4 + 2*p**2 + 0*p**b = 0?
-1, 1
Let f(l) = -2*l**3 + 4*l**2 + 14*l - 8. Let m(o) = -o**2 - 4*o**3 + 5*o**3 - 3 + 6 - 5*o. Let q(z) = -3*f(z) - 8*m(z). Factor q(x).
-2*x*(x + 1)**2
Let t(x) be the third derivative of x**8/1176 - 2*x**7/735 + x**5/105 - x**4/84 + x**2. Factor t(q).
2*q*(q - 1)**3*(q + 1)/7
Let t(o) be the second derivative of 5*o**4/14 - 17*o**3/21 + 2*o**2/7 - 21*o. Factor t(b).
2*(b - 1)*(15*b - 2)/7
Let d(t) be the second derivative of t**4/3 + 16*t**3/3 + 32*t**2 + 16*t. Factor d(c).
4*(c + 4)**2
Let a(s) be the first derivative of -4*s**5/5 + s**4 + 4*s**3/3 - 2*s**2 - 9. Determine f, given that a(f) = 0.
-1, 0, 1
Let k(i) be the second derivative of -3*i + 1/12*i**4 + 0*i**2 + 0 + 1/12*i**3. What is c in k(c) = 0?
-1/2, 0
Suppose -4*d + 1 = -15. Suppose -d*m + 2 = -6. Suppose 0 + 4/7*j**m + 2/7*j**4 + 0*j - 6/7*j**3 = 0. Calculate j.
0, 1, 2
Let w be 1/((-5)/628) + 2. Let m = 124 + w. Factor 0 + 4/5*k**2 - 2/5*k**3 - m*k.
-2*k*(k - 1)**2/5
Let l be 2/(-3) - (-40)/6. Let v(n) be the second derivative of 0*n**2 - 1/50*n**5 + 0*n**3 - 1/75*n**l + 1/105*n**7 - 2*n + 0 + 1/30*n**4. Factor v(p).
2*p**2*(p - 1)**2*(p + 1)/5
Let g(b) = b**3 + 12*b**2 + 2. Let t be g(-12). Let k be (-14)/14*(-6)/t. Factor -10/3*u**k + 4/3*u**2 - 4/3 + 10/3*u.
-2*(u - 1)*(u + 1)*(5*u - 2)/3
Let l(p) be the second derivative of 3*p**5/140 - p**4/28 - 5*p**3/14 - 9*p**2/14 - 3*p. Factor l(i).
3*(i - 3)*(i + 1)**2/7
Let c(s) be the second derivative of 5/48*s**4 + s - 5/4*s**3 + 0 + 45/8*s**2. Factor c(v).
5*(