et d(j) be the first derivative of -1/60*j**4 - 1/10*j**2 - 1/15*j**3 + 2*j + 2. Let v(k) be the first derivative of d(k). Factor v(c).
-(c + 1)**2/5
Let r(h) be the third derivative of 1/448*h**8 - h**2 + 0*h**7 + 0*h**3 + 0*h**4 + 0 + 0*h**5 - 1/160*h**6 + 0*h. Factor r(g).
3*g**3*(g - 1)*(g + 1)/4
Suppose -4*r = 3*o + 8, -3*o - 2*r = -10 + 8. Factor 0 - 1/6*u**o + 1/3*u - 1/3*u**3 + 1/6*u**2.
-u*(u - 1)*(u + 1)*(u + 2)/6
Let a(x) be the first derivative of 4*x**5/5 - x**4 + 7. What is c in a(c) = 0?
0, 1
Suppose -7*n + 2*n = -20. Suppose 7*x**4 - 3 - x**5 - n*x**4 + x**2 + 3 - 3*x**3 = 0. What is x?
0, 1
Let b = 143 - 141. What is w in -56/5*w - 8/5 - 18/5*w**4 - 122/5*w**b - 84/5*w**3 = 0?
-2, -1/3
Factor -6*o**2 - 5*o**5 + 0*o**5 - 6*o**3 + 3*o**4 + 3*o + 8*o**5 + 3 + 0*o.
3*(o - 1)**2*(o + 1)**3
Let c(q) be the third derivative of -q**10/105840 + q**8/11760 - q**6/2520 - q**4/12 + 3*q**2. Let x(m) be the second derivative of c(m). Factor x(h).
-2*h*(h - 1)**2*(h + 1)**2/7
Suppose -10*k**2 + 15*k**4 + 22*k**2 - 15*k + 18*k**2 - 3*k**5 - 30*k**3 + 3 = 0. Calculate k.
1
Let m(y) = -y + 4. Let f be m(-3). Let w(j) = -9*j**2 - 7*j. Let l(c) = 3*c + 9*c**2 - 2*c**2 - 3*c**2. Let g(h) = f*l(h) + 3*w(h). Let g(b) = 0. Calculate b.
0
Let d(u) be the third derivative of u**8/336 + 2*u**7/105 + u**6/24 + u**5/30 + 4*u**2. Factor d(l).
l**2*(l + 1)**2*(l + 2)
Suppose -3*j = 2*j - 15. Factor -7*t**4 - j*t**3 + 4*t + t**5 + 0*t**2 - 4*t**2 + 9*t**4.
t*(t - 1)**2*(t + 2)**2
Let b(r) = -r**3 - 22*r**2 - 41*r - 18. Let q be b(-20). Find s such that 1/5*s**q - 2/5*s + 1/5*s**3 + 0 = 0.
-2, 0, 1
Let y(a) be the first derivative of 2*a**6/9 + 11*a**5/15 + 3*a**4/4 + a**3/9 - a**2/6 - 3. Let y(o) = 0. What is o?
-1, 0, 1/4
Let r(y) be the third derivative of y**6/120 - y**5/60 - 5*y**4/24 - y**3/2 + 12*y**2. Factor r(v).
(v - 3)*(v + 1)**2
Let o = 0 + -4. Let a(v) = -v**2 - 4*v + 2. Let y be a(o). Let 4*n**2 + 4*n - 6*n**y - 2*n = 0. What is n?
0, 1
Let p be (-585)/(-6) - (-5)/10. Suppose 10*r + 392*r**4 - 16 + 164*r**2 + 30*r - 421*r**3 - p*r**5 - 61*r**3 = 0. What is r?
-2/7, 2/7, 1, 2
Let w(s) be the third derivative of s**5/360 + s**4/18 + 4*s**3/9 - 4*s**2. Let w(v) = 0. Calculate v.
-4
Let o be (2 + -3)*-5 + -3. Let v be (-2)/5*(-1 + -4). What is t in -3*t**3 + t**3 + o*t + 0*t**v - t**4 - 2*t**2 + 3*t**4 = 0?
-1, 0, 1
Let r(f) be the first derivative of -3*f**4/4 + f**3 - 4. Factor r(p).
-3*p**2*(p - 1)
Let y be ((-7)/(-1050))/(6/5). Let m(o) be the third derivative of 0*o + y*o**5 - 1/360*o**6 + 0*o**3 + 0 + 0*o**4 - o**2. Factor m(s).
-s**2*(s - 1)/3
Let q(a) = 6*a**2 + 5*a + 1. Let j(u) = -u**2 - u - 1. Let z(r) = 5*j(r) + q(r). Factor z(o).
(o - 2)*(o + 2)
Let l be 3/(-2)*-2*1. Factor n**3 + n + 2*n**2 + 3*n**3 - 4*n**l + n**3.
n*(n + 1)**2
Let a(o) = o**2 - 5*o - 1. Let x be a(5). Let p be (x/2)/(2/(-24)). Factor p - 4*g**2 - 2 + 2*g**3 - 2*g + 0*g**3.
2*(g - 2)*(g - 1)*(g + 1)
Let w(j) be the first derivative of -1 - 2/45*j**5 + 0*j**2 - 1/18*j**4 + 0*j + 0*j**3. Determine c so that w(c) = 0.
-1, 0
Let b = 11 + -8. Factor 3*c - 4*c**3 + 3 + 2*c**3 - c**b - 5*c**2 + 2*c**2.
-3*(c - 1)*(c + 1)**2
Suppose 0 = 30*c - 22*c - 16. Determine l, given that 0*l**c - 1/4 - 1/2*l**3 + 1/4*l**4 + 1/2*l = 0.
-1, 1
Let d(c) be the first derivative of 1 + 4/7*c**2 - 2/21*c**3 - 8/7*c. Factor d(k).
-2*(k - 2)**2/7
Let i be (-1)/6 + 217/42. Find f such that -1/4*f**i + 1/4*f**3 + 0 + 1/4*f**4 + 0*f - 1/4*f**2 = 0.
-1, 0, 1
Let t(l) = l**3 - 6*l**2 + 6*l - 3. Let a be t(5). Let r(p) be the third derivative of 1/120*p**5 + 0*p + 4*p**a - 1/48*p**4 + 0*p**3 + 0. Solve r(z) = 0 for z.
0, 1
Let f = 59 - 57. Determine u so that -1/2*u**2 - 2*u - f = 0.
-2
Let a(g) = g**2 - 5*g - 4. Let p be a(6). Suppose -3*z**2 + 2*z**p + 2*z - 6*z - 3*z**2 = 0. What is z?
-1, 0
Let q(h) be the first derivative of 64*h**3/5 + 24*h**2/5 + 3*h/5 - 4. Solve q(u) = 0 for u.
-1/8
Let o(d) = -2*d + 24 - 19 - d + 7*d**2. Let v(j) be the first derivative of 2*j**3 - j**2 + 4*j - 1. Let p(z) = -4*o(z) + 5*v(z). What is q in p(q) = 0?
-1, 0
Suppose -3*l + 8 + 25 = 0. Find c such that 48 + 9*c + 16*c - 12*c + 3*c**2 + l*c = 0.
-4
Suppose -9/7*a**2 + 0 - 6/7*a - 3/7*a**3 = 0. What is a?
-2, -1, 0
Let g(d) = 3*d**3 - 17*d**2 - 19*d - 16. Let r(o) = 3*o**2 + 0*o**2 - 4*o**2 + o + 0*o**2 + o**3. Let n(w) = g(w) - 5*r(w). Factor n(l).
-2*(l + 2)**3
Let y = -1062/7 + 152. Factor 0 + y*g**3 + 0*g**2 + 0*g - 2/7*g**4.
-2*g**3*(g - 1)/7
Solve 9*r**3 - 2 + 2 + 0*r**3 - 3*r**4 - 6*r**2 = 0.
0, 1, 2
Let p(b) be the third derivative of -b**5/240 + 3*b**4/32 - 30*b**2. Factor p(h).
-h*(h - 9)/4
Solve -2/3*w + 14/3*w**3 + 0 - 8/3*w**4 - 4/3*w**2 = 0.
-1/4, 0, 1
Let b(y) = 11*y**2 + 2*y + 1. Let t(v) = 10*v**2 + v + 1. Let h(g) = -6*b(g) + 7*t(g). Suppose h(x) = 0. What is x?
1/4, 1
Solve m**2 - 15 + 2 + 13 + 2*m = 0 for m.
-2, 0
Let v(f) = -f**3 - f**2 + f + 1. Let t(r) = 12*r**3 + 12*r**2 - 13*r - 11. Let l(s) = 4*t(s) + 44*v(s). Factor l(u).
4*u*(u - 1)*(u + 2)
Let f(v) be the second derivative of -1/3*v**3 - 1/12*v**4 + 0 + 8*v + 0*v**2. Solve f(l) = 0.
-2, 0
Let p be 16/(-136) - (-38)/34. Let a(u) be the first derivative of -p - 1/3*u**3 + 0*u + 0*u**2. Suppose a(b) = 0. What is b?
0
Determine v so that -4/3*v - 4/3 - 1/3*v**2 = 0.
-2
Let v be 6*(-3 + (-3 - -5)). Let u be 4/3 + v/9. Factor 0 + u*d - 1/3*d**2 - 1/3*d**3.
-d*(d - 1)*(d + 2)/3
Let z be 2/(-8) - ((-10)/8)/5. Let h(a) be the third derivative of z*a - 1/180*a**5 - 3*a**2 + 0*a**3 + 0*a**4 + 1/360*a**6 + 0. Factor h(d).
d**2*(d - 1)/3
Let w(s) be the first derivative of 2*s**5/5 - s**4 + 2*s**3/3 - 3. Factor w(x).
2*x**2*(x - 1)**2
Let f(r) be the second derivative of 7/45*r**5 + 1/63*r**7 + 0 - 1/9*r**2 + 1/9*r**4 + 11/135*r**6 + r - 1/27*r**3. Factor f(g).
2*(g + 1)**4*(3*g - 1)/9
Let s(j) = -j**2 - 1. Let l(d) = -2*d**2 - 16*d - 15. Let g(y) = 4*l(y) - 44*s(y). Factor g(t).
4*(t - 2)*(9*t + 2)
Let v(a) be the first derivative of -3*a + 2 - 3/2*a**3 - 21/4*a**2. Factor v(f).
-3*(f + 2)*(3*f + 1)/2
Let c be 450/(-40) + (-5 - -1). Let b = c + 16. Factor 0*d**2 + 0 - b*d**3 + 0*d.
-3*d**3/4
Let a be (1/(-6))/((35/(-4))/7). Let u(v) be the first derivative of -a*v**3 - 4/5*v + 2 + 3/5*v**2. Factor u(q).
-2*(q - 2)*(q - 1)/5
Let r = -3 - -5. Let g(u) be the second derivative of 4*u + 0 - 3*u**r + 1/6*u**4 - 2/3*u**3. Suppose g(f) = 0. Calculate f.
-1, 3
Suppose 4*y = -y - 3*a + 52, -5*y - a = -44. Suppose -3*z - 10 = -y*z. Factor 3*s + 4 + 4*s - s + z*s**2.
2*(s + 1)*(s + 2)
Let k(u) be the first derivative of -u**5/50 + 3*u + 1. Let n(y) be the first derivative of k(y). Factor n(z).
-2*z**3/5
Suppose 3*c = -v + 1 - 16, v = -2*c - 10. Suppose v*x**2 - 2/3*x**3 + 0 + 2/3*x = 0. Calculate x.
-1, 0, 1
Let z = -6 + 9. Factor 3*w**2 - w**3 - 4*w + 2*w - w**z + w**2.
-2*w*(w - 1)**2
Let m be ((4 + (-2 - 2))/(-2))/4. Solve m + 0*z + 1/2*z**3 + 1/2*z**2 = 0 for z.
-1, 0
Let a(q) be the first derivative of q**6/90 - q**5/10 + q**4/3 + q**3/3 + 4. Let s(x) be the third derivative of a(x). Factor s(m).
4*(m - 2)*(m - 1)
Let t = -33 + 35. Solve -1/2*v**3 - 1/2*v - v**t + 0 = 0.
-1, 0
Let h(c) be the first derivative of -2 + 2*c**3 + c**4 - 7/2*c**2 + 2*c + 1/2*c**6 - 8/5*c**5. Factor h(g).
(g - 1)**3*(g + 1)*(3*g - 2)
Let k(w) be the second derivative of -8/3*w**2 - 1/30*w**5 - 1/3*w**4 - 4/3*w**3 + 7*w + 0. Factor k(q).
-2*(q + 2)**3/3
Let w(a) be the first derivative of 0*a**4 + 3 + 0*a + 1/6*a**6 - 1/2*a**2 + 2/5*a**5 - 2/3*a**3. Solve w(b) = 0.
-1, 0, 1
Let i(t) be the third derivative of -t**6/660 - t**5/66 - 2*t**4/33 - 4*t**3/33 - 20*t**2. Let i(f) = 0. What is f?
-2, -1
Let w be ((-1)/20)/((-16)/20). Let p(o) be the first derivative of -2 + 1/12*o**3 + 1/4*o**2 + 0*o - w*o**4. Factor p(y).
-y*(y - 2)*(y + 1)/4
Let w(b) be the second derivative of -b**5/110 + 8*b**4/33 - 64*b**3/33 - b - 5. Factor w(i).
-2*i*(i - 8)**2/11
Let s(y) be the first derivative of -1/8*y**4 + 2 + 1/4*y**2 + 1/20*y**5 - 1/12*y**3 + 0*y. Find r such that s(r) = 0.
-1, 0, 1, 2
Let j = -2 + 7. Let m = j + -5. Factor -2*s + m*s + s**3 - 3*s**2 - 2*s**3.
-s*(s + 1)*(s + 2)
Find k such that -48 - 53*k - 18*k + 348 + 3*k**2 + 11*k = 0.
10
Suppose 4*l + 13 = -5*o, 2*o + 6 = 4*l - 1