, 1, 2
Let s(m) be the first derivative of 1/10*m**2 + 1/15*m**3 - 2/5*m + 5. Solve s(r) = 0.
-2, 1
Let d(u) be the second derivative of 1/12*u**4 - 1/20*u**5 + 7*u - 1/18*u**3 + 0*u**2 + 1/90*u**6 + 0. Let d(b) = 0. What is b?
0, 1
Let x(i) = 2*i - 28. Let m be x(15). Let q(t) be the first derivative of 0*t + 2/15*t**3 + 0*t**2 - m + 1/10*t**4. Find n, given that q(n) = 0.
-1, 0
Let 6*h**3 - 2*h**3 - 9 - 16*h**2 + 9 + 16*h = 0. What is h?
0, 2
Let p be (4/1)/((-12)/(-9)). Suppose 0*q + 1/2*q**2 + 9/4*q**4 + 0 + 11/4*q**p = 0. Calculate q.
-1, -2/9, 0
Let o be (-2)/2 + 1 + 0. Let h = -2 + 2. Suppose o*b**2 - 2/3*b**4 + 0 + 2/3*b**5 + 0*b**3 + h*b = 0. What is b?
0, 1
Let k(g) = -6*g**3 - 15*g**2 + 12*g - 9. Let h(p) = -p**3 - p. Let w(b) = -9*h(b) + k(b). Factor w(j).
3*(j - 3)*(j - 1)**2
Let q(b) be the third derivative of b**5/30 + b**4/3 - 6*b**2. Find t such that q(t) = 0.
-4, 0
Let i(q) be the first derivative of 3*q**5/20 - q**3/4 + 23. Factor i(g).
3*g**2*(g - 1)*(g + 1)/4
Let w(r) = -2*r**3 + 2*r**2 - 5*r. Let j(x) = 3*x**3 - 3*x**2 + 9*x. Let k(f) = 3*j(f) + 5*w(f). Factor k(l).
-l*(l - 2)*(l + 1)
Let q(c) be the second derivative of c**8/21 - c**6/6 + c**4/6 + 2*c**2 + c. Let k(s) be the first derivative of q(s). Suppose k(w) = 0. Calculate w.
-1, -1/2, 0, 1/2, 1
Let n be 1 + (15/10)/(-9 - -6). Factor -n*y**4 + 1/2*y**3 + 0 + 0*y + 0*y**2.
-y**3*(y - 1)/2
Suppose -90 = -h - 5*h. Suppose 4*f = -5*g + h, 0 = 2*f + f. Factor -4/5*i**2 + 2/5*i**4 + 2/5 + 0*i**g + 0*i.
2*(i - 1)**2*(i + 1)**2/5
Let f = -4 - -6. Suppose 2*l - f = l. Solve -1 + l*m**2 + 2 - 3*m**2 = 0 for m.
-1, 1
Let d(b) be the first derivative of -b**3/18 - 5*b**2/12 + b - 45. Factor d(s).
-(s - 1)*(s + 6)/6
Factor -t - 3/4*t**2 - 1/4.
-(t + 1)*(3*t + 1)/4
Let w(r) be the third derivative of -r**8/112 + 11*r**7/210 - r**6/8 + 3*r**5/20 - r**4/12 + 39*r**2. Factor w(l).
-l*(l - 1)**3*(3*l - 2)
Let q = -27 + 18. Let o be (-2)/(-9) - (-2)/q. Factor o - m**2 + 2/3*m.
-m*(3*m - 2)/3
Factor 12/5*b + 2*b**2 + 0 + 2/5*b**3.
2*b*(b + 2)*(b + 3)/5
Suppose -5*q - 2 = -22. Let x(d) = 2*d - 8. Let j be x(q). Let j + 1/4*t - 1/2*t**2 + 1/4*t**3 = 0. Calculate t.
0, 1
Let r(a) be the first derivative of a**4/4 - 4*a**3/3 + 3*a**2/2 + 25. Determine t, given that r(t) = 0.
0, 1, 3
Let h = -3 - -5. Solve -2*s**4 + s**3 - 5*s**2 - 9*s**3 - 2 - 8*s + s**h - 8*s**2 = 0.
-1
Let l(t) be the first derivative of 1/5*t**2 + 3/10*t**4 - 2 + 0*t - 2/25*t**5 - 2/5*t**3. Factor l(y).
-2*y*(y - 1)**3/5
Factor 6*r + 47*r**3 + 3 - 49*r**3 + 1.
-2*(r - 2)*(r + 1)**2
Let l(h) be the third derivative of -h**6/30 + h**5/15 + h**4/6 - 2*h**3/3 + h**2 - 6. Solve l(o) = 0.
-1, 1
Let a(j) be the third derivative of -j**7/105 + j**6/25 - 3*j**5/50 + j**4/30 - 6*j**2. Factor a(u).
-2*u*(u - 1)**2*(5*u - 2)/5
Suppose -j = -4*r + 16, -4*j - 8 = j - 2*r. Factor 0*o + 1/3*o**2 + j + 1/3*o**3.
o**2*(o + 1)/3
Let f = -3280/7 - -469. Find l, given that 9/7*l**4 + 0 + 0*l + 6/7*l**3 + f*l**5 + 0*l**2 = 0.
-2, -1, 0
Let a(h) = -6*h**3 - 7*h**2 - h - 17. Let m(u) = -2*u**3 - 2*u**2 - 6. Let f(p) = -6*a(p) + 17*m(p). Find x, given that f(x) = 0.
-3, -1, 0
Let a(n) be the first derivative of 0*n**3 + 0*n + 5 + 1/28*n**4 - 1/14*n**2. Factor a(f).
f*(f - 1)*(f + 1)/7
Suppose -3*f = -4*d + 3*d + 4, 0 = -4*f + 3*d - 12. Let r be (8/(-50))/(5/(25/(-2))). Factor 2/5*m**2 - r + f*m.
2*(m - 1)*(m + 1)/5
Let u(q) be the third derivative of q**7/2100 - q**5/300 - q**3/2 - 2*q**2. Let v(r) be the first derivative of u(r). Find l such that v(l) = 0.
-1, 0, 1
Let r be (2/(-20))/((-9)/15)*4. Factor 2/9*z**2 + 4/9 - r*z.
2*(z - 2)*(z - 1)/9
Suppose 4 = -5*a + 9, -3*a = 4*s - 55. Find m such that 3*m - 4*m**2 - 39 + 23 + s*m = 0.
2
Suppose -b = 3*b - 8. Suppose -4*t - 8 = -b*k, -2*k + k + 3 = -t. Determine c, given that 2*c**3 + 22 - 2*c - k*c**2 - 22 + 2*c**4 = 0.
-1, 0, 1
Factor -6*j**2 - 3*j - 6*j**2 + 6*j**5 + 4 + 5*j + 8*j**4 - 8*j**3.
2*(j - 1)*(j + 1)**3*(3*j - 2)
Let i = 26 + -29. Let q be ((-1)/(-10))/(i/(-6)). Factor -3/5*c + 3/5*c**3 + q*c**4 + 1/5*c**2 - 2/5.
(c - 1)*(c + 1)**2*(c + 2)/5
Let j(z) be the second derivative of -2*z**6/15 + 12*z**5/5 - 12*z**4 + z + 18. Let j(x) = 0. What is x?
0, 6
Let j(f) be the third derivative of f**6/300 + f**5/50 + f**4/30 - 32*f**2. Solve j(o) = 0 for o.
-2, -1, 0
Suppose -2*p - 2*p = 4. Let z(o) = o**4 - o**3 + o**2 + o + 1. Let i(m) = -3*m**4 - 2*m**2 - 1. Let l(k) = p*i(k) - 2*z(k). What is f in l(f) = 0?
-1, 1
Let s be 0/(4 + 4 + -7). Factor s*f**2 - 5 - f**2 - 2*f + 4.
-(f + 1)**2
Let f(y) be the second derivative of -1/108*y**4 - 1/27*y**3 + 0 - 10*y + 1/6*y**2. Factor f(x).
-(x - 1)*(x + 3)/9
Factor -22*k - k - 5*k**3 - 10 - 20*k**2 + 7*k - 9*k.
-5*(k + 1)**2*(k + 2)
Let u be 6/60*1/5. Let i(d) be the second derivative of 0 - u*d**5 - 4/5*d**3 + 1/5*d**4 + 2*d + 8/5*d**2. Factor i(y).
-2*(y - 2)**3/5
Let a(k) be the third derivative of 15*k**8/56 + 26*k**7/35 - k**6/60 - 7*k**5/3 - 11*k**4/3 - 8*k**3/3 + 7*k**2. What is x in a(x) = 0?
-1, -2/3, -2/5, 1
Let t(s) be the third derivative of -1/10*s**5 + 1/2*s**3 + 9/70*s**7 - 3/10*s**6 + 1/2*s**4 + 0 - s**2 + 0*s. Factor t(q).
3*(q - 1)**2*(3*q + 1)**2
Suppose -2*l - 8 = -3*p, 0 = 5*p + 8*l - 4*l + 16. Suppose p = n - 0*n - 4. What is u in -2*u**2 - 3*u - n*u + u + 2*u = 0?
-2, 0
Let k(q) = -q**2 + 5*q - 4. Let y be k(3). Factor 4*b + 5*b**2 - 8*b**y + 2*b.
-3*b*(b - 2)
Let a = 265 + -1322/5. Factor -3/5*y**4 - 18/5*y**2 + 12/5*y**3 - a + 12/5*y.
-3*(y - 1)**4/5
Suppose 7 = -8*q + 31. Factor 8/9*p**q - 4/3*p**2 - 2/9*p**4 - 2/9 + 8/9*p.
-2*(p - 1)**4/9
Let b(r) be the third derivative of -r**5/105 + r**4/42 - 2*r**2. Factor b(g).
-4*g*(g - 1)/7
Let t = 5 - 9. Let i be ((-8)/112)/(1/t). Factor i*r - 2/7*r**2 + 2/7*r**4 - 2/7*r**3 + 0.
2*r*(r - 1)**2*(r + 1)/7
Let x(p) be the first derivative of p**5/25 + 7*p**4/20 + 6*p**3/5 + 2*p**2 + 8*p/5 - 5. Find y, given that x(y) = 0.
-2, -1
Factor 2*c**3 - 3*c**2 - 5*c**3 - 4*c**3 - 2*c**3.
-3*c**2*(3*c + 1)
Let m = -1207 - -1225. Solve 24*u + m + 8/3*u**3 + 2/9*u**4 + 12*u**2 = 0 for u.
-3
Let p(n) be the second derivative of n**5/20 - n**4/6 + n**3/6 - 18*n. Factor p(r).
r*(r - 1)**2
Let z = -2/155 - -64/155. Solve 2/5*l**2 + 0 - z*l = 0 for l.
0, 1
Suppose -22 = 5*n - d, 5*n = 2*d - 0*d - 24. Let z be n*(2/2)/(-2). Determine r, given that 1 - 2*r**z - r + 3*r**2 - r = 0.
1
Let h(z) be the third derivative of z**8/13440 + z**5/12 + 4*z**2. Let i(b) be the third derivative of h(b). Let i(q) = 0. What is q?
0
Factor 7*s**2 - 20*s + 8*s**2 + 35*s + 12 - 21*s**3 + 33*s.
-3*(s - 2)*(s + 1)*(7*s + 2)
Let k(l) = 2 + 2 + 5*l**3 - 1 - 4 + 3*l + 6*l**2. Let q(n) = n**3 - n - 1. Let z(o) = o - 3. Let h be z(6). Let v(i) = h*q(i) - k(i). Factor v(g).
-2*(g + 1)**3
Let h be 0 + 2 - 4*-1. Let d(q) = q**2 - 1. Let i(g) = -5*g**2 - g + 4. Suppose 0 = -4*y + 4. Let s(k) = h*d(k) + y*i(k). Determine o, given that s(o) = 0.
-1, 2
Suppose -2*i + i + 3 = 0. Suppose -3*h = -j - i*j - 40, 0 = -4*h - 3*j + 70. Factor -h*k - 2*k**3 + 10*k**2 + 2*k**3 + 8 + k**3 - 3*k**3.
-2*(k - 2)**2*(k - 1)
Let q(z) be the third derivative of 7*z**6/40 + z**5/10 - 7*z**4/8 - z**3 + 5*z**2. Factor q(j).
3*(j - 1)*(j + 1)*(7*j + 2)
Let c(n) = n**3 - 8*n**2 - 10*n + 12. Let j be c(9). Factor -a - 7*a**2 - 7*a**j - 2*a**2 - a.
-a*(a + 1)*(7*a + 2)
Let g(b) be the third derivative of -11/90*b**5 - 6*b**2 + 0*b - 17/108*b**4 + 0 - 2/27*b**3. Suppose g(r) = 0. Calculate r.
-1/3, -2/11
Let n(c) be the third derivative of 7*c**5/15 - 13*c**4/3 - 16*c**3/3 - 54*c**2. Factor n(w).
4*(w - 4)*(7*w + 2)
Let j = 307 - 478. Let t = j - -1199/7. Factor -8/7 + 8/7*d - t*d**2.
-2*(d - 2)**2/7
Let p(s) be the second derivative of 3*s**5/40 - s**4 + 7*s**3/4 - 5*s + 1. Find w, given that p(w) = 0.
0, 1, 7
Let a be (-8 - -4)*-1 + -3. Let j(h) be the first derivative of 1/3*h**3 - h**2 + 0*h + a. Solve j(q) = 0 for q.
0, 2
Let j(f) = 13*f**5 + 8*f**4 - 2*f**3 + 3*f**2 - 7*f. Let s(r) = 7*r**5 + 4*r**4 - r**3 + 2*r**2 - 4*r. Let o(l) = -4*j(l) + 7*s(l). Factor o(m).
-m**2*(m + 1)**2*(3*m - 2)
Let s(b) = b**2 + b - 1. Suppose 3*a - 16 + 7 = 3*n, -5*n - 11 = -a. Let g(j) = -3*j**2 - j + 2. Let z(o) = n*s(o) - g(o). Factor z(y).
y*(y - 1)
Factor 0 + 4/17*z