 2/3 - 2/3*r**2.
-2*(r - 1)*(r + 1)/3
Let r(z) be the first derivative of z**4/34 + 4*z**3/51 - 13*z**2/17 + 20*z/17 - 42. Solve r(q) = 0 for q.
-5, 1, 2
Let v(n) be the first derivative of n**4/6 + 2*n**3/9 - 5*n**2/3 + 2*n - 15. Let v(t) = 0. What is t?
-3, 1
Let f(x) be the third derivative of -2*x**7/105 - x**6/80 + x**5/15 + x**4/16 + 61*x**2. Suppose f(j) = 0. Calculate j.
-1, -3/8, 0, 1
Let j(p) = p**2 + 12*p - 10. Let i(g) = g**2 + 14*g - 11. Let v(h) = 6*i(h) - 7*j(h). Factor v(y).
-(y - 2)*(y + 2)
Suppose 22 = 6*k - 2*k - 3*b, 5*k - 4*b = 27. Find u such that k*u - 3*u + 2*u**2 - 46*u**3 + 44*u**3 = 0.
-1, 0, 2
Let a(p) be the third derivative of -p**5/210 + 2*p**4/21 - 16*p**3/21 - 8*p**2. Find l such that a(l) = 0.
4
Suppose -11*n + 35 = -6*n. Let y = n - 7. Find b such that y*b - 2/5*b**2 + 0 - 8/5*b**4 - 2*b**3 = 0.
-1, -1/4, 0
Factor 2*u - u**2 - 5*u**4 + 3*u**4 - 5*u**2 + 6*u**3.
-2*u*(u - 1)**3
Let y(q) = q**2 + 8*q - 7. Let c be y(-9). Factor 2*h**3 + 7*h + 1 + 0*h**2 - 3 + 2*h**c - 9*h**3.
-(h - 1)*(h + 1)*(7*h - 2)
Let -k - 3/2 - 1/6*k**2 = 0. What is k?
-3
Let a(g) be the third derivative of -1/48*g**4 + 0*g + 1/6*g**3 + 0 + 6*g**2 - 1/120*g**5. Find v, given that a(v) = 0.
-2, 1
Let y(f) = 5*f**5 + 4*f**4 - 4*f**3 + 4*f**2 - f + 4. Let v(z) = -4*z**5 - 4*z**4 + 4*z**3 - 3*z**2 - 3. Let j(d) = 6*v(d) + 5*y(d). Let j(n) = 0. Calculate n.
-1, 1, 2
Let i(l) be the third derivative of -l**6/240 + l**3/3 + 4*l**2. Let z(g) be the first derivative of i(g). Factor z(r).
-3*r**2/2
Solve -15 + 14*n**2 + 22*n**2 - 52*n**3 + 5*n + 20*n**4 - n + 7 = 0 for n.
-2/5, 1
Let q(o) = -o**2 - o + 1. Let j(t) = -7*t - 8*t + 10 - 12*t**2 + t. Let k(c) = -j(c) + 10*q(c). Solve k(b) = 0.
-2, 0
Let q(u) be the third derivative of u**5/30 - u**4/3 - 5*u**3/3 + 21*u**2. Suppose q(b) = 0. Calculate b.
-1, 5
Suppose 14*k = 16*k - 4. What is b in 5*b - 4 + 3*b**3 + 7*b - 9*b**2 - 3*b**k + b**3 = 0?
1
Suppose -6*t + 7*t = 0. Let a(o) be the third derivative of 1/20*o**6 + 1/10*o**5 + 0*o**3 + 1/12*o**4 + t + 0*o - 4*o**2 + 1/105*o**7. Factor a(q).
2*q*(q + 1)**3
Let n(p) be the third derivative of 0*p**4 + 0 + 1/60*p**6 - 1/30*p**5 + 0*p + 5*p**2 + 0*p**3. Factor n(g).
2*g**2*(g - 1)
Let s be 1104/480 - (-3)/(-10). Solve 4/3 - 4/3*k**s + 0*k = 0.
-1, 1
Let o(u) be the first derivative of u**6/12 + 2*u**5/5 + u**4/4 - 2*u**3/3 - 3*u**2/4 + 43. Let o(l) = 0. Calculate l.
-3, -1, 0, 1
Let f(d) be the third derivative of -4*d**5/105 - 5*d**4/42 - 2*d**3/21 + 20*d**2. Factor f(i).
-4*(i + 1)*(4*i + 1)/7
Let z(p) be the first derivative of 1/6*p**4 + 3 - 1/10*p**5 + 3*p + 0*p**3 + 0*p**2. Let t(k) be the first derivative of z(k). Factor t(u).
-2*u**2*(u - 1)
Let m(h) be the third derivative of h**6/120 + 2*h**5/45 + h**4/18 + 3*h**2. Solve m(s) = 0.
-2, -2/3, 0
Let s be ((-5)/(-5))/((-565)/236). Let c = -2/113 - s. Solve 0*v**3 - 4/5*v**2 + 4/5*v**4 + 0 - 2/5*v**5 + c*v = 0 for v.
-1, 0, 1
Let a = -1 + 5. Suppose -b = 3*l - 7*l - 18, a*l = -3*b - 10. Find v such that 0*v**2 + 3*v**4 + 2*v**5 + 6*v**3 + b*v**2 + 3*v**4 = 0.
-1, 0
Let i(h) = h**4 - h**2 - h - 1. Let o(c) = -c**5 + 3*c**3 - 4*c**2 + 3*c + 1. Let q(f) = -i(f) - o(f). Factor q(w).
w*(w - 1)**3*(w + 2)
Let y(a) be the second derivative of -1/72*a**4 + 1/12*a**3 - 1/6*a**2 + 0 - 3*a. Let y(i) = 0. Calculate i.
1, 2
Let j(i) be the second derivative of -i**7/1365 - i**6/260 - i**5/195 + 5*i**2/2 + 5*i. Let s(b) be the first derivative of j(b). Solve s(r) = 0 for r.
-2, -1, 0
Suppose 0 = s + s - 6. Suppose -g = -s*g. Factor 1/5*v**2 + 0*v + g.
v**2/5
Let -j - j**5 - 7*j**4 - 2*j**3 + 11*j**3 - 7*j + 7*j**2 = 0. What is j?
-8, -1, 0, 1
Let h(y) be the second derivative of y**10/105840 - y**9/26460 + y**8/23520 + y**4/12 + 2*y. Let c(w) be the third derivative of h(w). Factor c(q).
2*q**3*(q - 1)**2/7
Let y = 5 + -5. Let p(f) be the second derivative of f + 0*f**3 + 0 + y*f**2 - 1/60*f**4. Determine w so that p(w) = 0.
0
Let i(o) be the second derivative of o**6/10 + 9*o**5/20 + 3*o**4/4 + o**3/2 + 9*o. Suppose i(l) = 0. Calculate l.
-1, 0
Let w(q) = -3*q - 14. Let d be w(-6). Let v(p) be the second derivative of -1/6*p**d - p + p**2 + 0 + 0*p**3. Factor v(u).
-2*(u - 1)*(u + 1)
Let a = 10/43 - -271/129. Factor 2/3*l**2 + 0*l + a*l**3 + 0.
l**2*(7*l + 2)/3
Let u be (0 + -2)/(-2) - 11. Let t be (-5)/6*3/u. Find o such that 1/2*o**4 + 0*o - t*o**5 + 0 - 1/4*o**3 + 0*o**2 = 0.
0, 1
Let c(j) = -15*j**3 - 6*j**2 + 15*j + 6. Let d(x) = 31*x**3 + 11*x**2 - 31*x - 11. Let n(w) = 7*c(w) + 3*d(w). Determine o so that n(o) = 0.
-1, -3/4, 1
Suppose -28*q**2 - 8*q - 1 + 9 - 12*q = 0. Calculate q.
-1, 2/7
Let l(f) be the third derivative of -5*f**2 - 1/12*f**4 - 1/60*f**5 + 1/2*f**3 + 0 + 0*f. Let l(g) = 0. Calculate g.
-3, 1
Factor 0 + 4/3*c**4 - 4/3*c**2 + 1/3*c - 1/3*c**3.
c*(c - 1)*(c + 1)*(4*c - 1)/3
Let x(a) = 4*a**3 - 19*a**2 + 15*a. Let y(o) = 2*o**3 - 10*o**2 + 8*o. Suppose -4*b + 7 = -3*j + b, 3*j = 2*b - 10. Let v(l) = j*x(l) + 7*y(l). Factor v(c).
-2*c*(c - 2)*(c - 1)
Factor 38/7*k**2 - 32/7*k - 10/7*k**3 - 8/7.
-2*(k - 2)**2*(5*k + 1)/7
Let r be (33 - 3)*(-1)/(-2). Let k be (-5)/(r/(-9)) - -2. Factor -p**3 - 2*p**5 - 2*p**k + 0*p**5 + 5*p**5.
p**3*(p - 1)*(p + 1)
Suppose 0 = -t - 5*o + 3*o - 1, 3*o = -5*t - 12. Let b be (0 + -1 + 0)*t. Factor 0 - 3/2*u**b - 1/4*u**2 - 9/4*u**4 + 0*u.
-u**2*(3*u + 1)**2/4
Let v(p) = -p**2 + p + 1. Let m(n) = -5*n**2 - 6*n - 4. Let w(s) = 9*s**3 - s**2 + 1. Let i be w(-1). Let b = i - -5. Let a(z) = b*v(z) - m(z). Factor a(k).
k*(9*k + 2)
Let b(g) = -g**5 - g**3 - g**2 + g - 1. Let y(j) = 2*j**5 + 4*j**4 + 5*j**3 - 5*j**2 - 4*j + 7. Let f(r) = 3*b(r) + y(r). Solve f(x) = 0 for x.
-1, 1, 4
Let a be (-35)/(-49)*(-16)/(-20). Solve -36/7 - 24/7*m - a*m**2 = 0 for m.
-3
Let f(q) = q**4 + 4*q**3 - 5*q**2 + 3*q. Let a(o) = -o**4 - 3*o**2 - 4*o - 13*o**3 + 8*o**3 + 9*o**2. Let n(y) = 3*a(y) + 4*f(y). Find b, given that n(b) = 0.
-2, 0, 1
Let q(k) be the third derivative of 5/28*k**4 - 2/21*k**3 - 23/210*k**5 + 16/735*k**7 + 0 - 5*k**2 - 2/35*k**6 + 0*k. Solve q(j) = 0.
-1, 1/4, 2
Let c(j) be the first derivative of -j**6/240 - j**5/30 - 5*j**4/48 - j**3/6 + 3*j**2/2 + 1. Let y(z) be the second derivative of c(z). Factor y(t).
-(t + 1)**2*(t + 2)/2
Let q = -3107945/889 - -3496. Let w = 7103/8001 - q. Let 2/9*r**2 + 8/9 - w*r = 0. Calculate r.
2
Let k(p) = 8*p**2 + 13*p - 1. Let d(v) = 8*v**2 + 12*v - 2. Let f(x) = 5*d(x) - 6*k(x). Factor f(t).
-2*(t + 2)*(4*t + 1)
Let w(o) be the third derivative of -o**5/40 + o**4/16 - 4*o**2. Factor w(j).
-3*j*(j - 1)/2
Let a be (-14)/63 + (-6404)/990. Let q = 78/11 + a. Solve 0 + 0*m + 4/5*m**2 - q*m**3 = 0.
0, 2
Factor -1/8*i**3 - 3/8*i**2 - 1/8 - 3/8*i.
-(i + 1)**3/8
Let j be ((-105)/(-10))/7 - 12/8. Let b be (-1 - 1) + 2/1. Suppose b + 2/9*z - 2/9*z**3 + j*z**2 = 0. What is z?
-1, 0, 1
Let m(g) be the third derivative of -g**5/20 - 3*g**4/8 + 5*g**3 - 46*g**2. Factor m(y).
-3*(y - 2)*(y + 5)
Let p(v) = v**3 + v + 1. Let y(l) = -l**3 + 9*l**2 - 10*l - 5. Let a(d) = 5*d**2 - 5*d - 2. Let i(j) = -5*a(j) + 3*y(j). Let o(b) = -i(b) - 5*p(b). Factor o(t).
-2*t**2*(t + 1)
Factor 0*b - 1/2*b**2 + 0.
-b**2/2
Let i be 3/(-3) + 0 + 0. Let c = i - -3. Factor 5*j**3 - 9*j**5 + j**4 - 9*j**4 - 12*j**3 - 7*j**4 - j**c.
-j**2*(j + 1)*(3*j + 1)**2
Let n(b) = -3*b - 3. Let r be n(-2). Let j(z) be the first derivative of 4 + 3/5*z**2 + 1/5*z**r + 3/5*z. Factor j(k).
3*(k + 1)**2/5
Let f = 11 + -9. Let -2/5 + 4/5*g**f - 2/5*g**5 - 2/5*g + 4/5*g**3 - 2/5*g**4 = 0. Calculate g.
-1, 1
Let y be (-1 - -4) + -2 + 2. Factor -2/7*d**5 + 4/7*d**2 + 4/7*d**y - 2/7 - 2/7*d**4 - 2/7*d.
-2*(d - 1)**2*(d + 1)**3/7
Let v(a) = a**2 - 5*a + 5. Let x be v(4). Let u be -3 + 11*x/3. Let 2/3*n + 0 + u*n**2 = 0. Calculate n.
-1, 0
Determine k so that 4/7*k + 0 - 6/7*k**2 + 2/7*k**3 = 0.
0, 1, 2
Let f(n) = -n**2 + 6*n - 3. Let r be f(5). Determine y, given that r*y**4 + 2 + 3 - 2*y - 4 + 2*y**3 - 3*y**4 = 0.
-1, 1
Let o(y) be the third derivative of y**7/210 - y**6/120 - 7*y**2. What is u in o(u) = 0?
0, 1
Suppose -18 - 26 = -11*f. Find y, given that 0 - 4/9*y**f + 0*y + 4/9*y**2 - 2/9*y**3 + 2/9*y**5 = 0.
-1, 0, 1, 2
Determine b, given that -7*b**3 - 16*b**2 - 10*b**4 + 4*b - 3*