+ 0*p**2. Let d(i) be the first derivative of x(i). Find a such that d(a) = 0.
0, 1
Let j(k) = 4*k**2 - 16*k + 16. Let a(h) = -h**2 + 4*h - 4. Let l(t) = 18*a(t) + 4*j(t). Factor l(g).
-2*(g - 2)**2
Factor 0 + 0*z - 1/4*z**2.
-z**2/4
Let k be (-5)/(195/12) + 0. Let q = k - -29/52. Solve q*x**2 + 0 + 1/2*x = 0.
-2, 0
Let g(v) = v**3 - 5*v**2 - 7*v + 8. Let s be g(6). Let t = 459 - 2287/5. Factor 2/5*q**s + t - 8/5*q.
2*(q - 2)**2/5
Let m = 2 + 0. Let 6/5*c**m + 4/5*c + 2/5*c**3 + 0 = 0. What is c?
-2, -1, 0
Let m(q) = q**2 + q - 1. Let y(r) = 3*r**4 + 3*r**3 - 15*r**2 - 15*r + 12. Let v(h) = -h**2 - 2*h - 1. Let f be v(0). Let g(w) = f*y(w) - 12*m(w). Factor g(l).
-3*l*(l - 1)*(l + 1)**2
Let z(c) = 8*c**3 + 2*c**2 - 2*c - 2. Let w(j) = 15*j**3 + 4*j**2 - 4*j - 4. Let q(m) = 6*w(m) - 11*z(m). Factor q(v).
2*(v - 1)*(v + 1)**2
Let v = -545/3 - -182. Let 5/3*f - 4/3*f**2 - 2/3 + v*f**3 = 0. Calculate f.
1, 2
Let n(k) be the second derivative of 2*k**3 - 1/6*k**4 - 4*k + 0 - 9*k**2. Let n(f) = 0. Calculate f.
3
Let h(s) be the third derivative of -s**8/1512 + 2*s**7/315 - s**6/45 + 4*s**5/135 - 14*s**2. Suppose h(x) = 0. Calculate x.
0, 2
Let y(i) be the first derivative of 0*i**2 + 0*i + 3/2*i**4 + 1/3*i**6 + 1 - 6/5*i**5 - 2/3*i**3. Factor y(q).
2*q**2*(q - 1)**3
Suppose -8*q + 24 = -5*q. Suppose 3*g - 4 = q. Find s such that -4/3*s**g - 32/9*s**2 - 2/9*s**5 - 28/9*s**3 - 2*s - 4/9 = 0.
-2, -1
Suppose -2*x - 4*g = -5*x + 22, -2*x + 8 = -g. Factor -x*s**2 + 6*s - 10*s + 0*s**2.
-2*s*(s + 2)
Let t = 191 + -191. Let k = 2 - 2. Factor k*h - 2/3*h**2 + 2/3*h**4 + 0*h**3 + t.
2*h**2*(h - 1)*(h + 1)/3
Let u(k) be the second derivative of k**7/7 + 2*k**6/15 - 2*k**5/5 - k**4/3 + k**3/3 + 3*k. Determine b, given that u(b) = 0.
-1, 0, 1/3, 1
Let v be -3 + 4/((-16)/(-13)). Let i(p) be the first derivative of 2 - 1/2*p**2 - p + v*p**4 + 1/3*p**3. Factor i(o).
(o - 1)*(o + 1)**2
Let h(d) be the second derivative of d**3/3 - 3*d. Let v be h(2). Factor v - 5*u**2 - u**3 - 4 + 2 + u + 3*u**4.
(u - 1)**2*(u + 1)*(3*u + 2)
Let w(c) = c**2 - 4. Let p be w(3). Determine i so that -5*i**2 - 9*i**3 - i**4 - 4*i + 2*i + p*i**3 = 0.
-2, -1, 0
Let u(g) = -g**5 - g**4 - g**3. Let k(y) = -46*y**5 + 318*y**4 + 244*y**3 - 287*y**2 - 192*y - 28. Let r(c) = k(c) + 3*u(c). Solve r(d) = 0 for d.
-1, -2/7, 1, 7
Let t = -691/4 - -173. Factor 1/2*n**2 - 1/4*n**4 - t + 1/4*n**5 + 1/4*n - 1/2*n**3.
(n - 1)**3*(n + 1)**2/4
Let n(k) be the third derivative of -7/30*k**6 - k**2 + 0*k - 10/3*k**4 + 0 + 6/5*k**5 + 2/105*k**7 + 16/3*k**3. Suppose n(o) = 0. What is o?
1, 2
Let z(t) = 2*t**2 + t - 1. Let w(m) = 19*m**2 - 55*m - 26. Let p(h) = w(h) - 5*z(h). Factor p(i).
3*(i - 7)*(3*i + 1)
Let d(r) be the second derivative of -r**5/4 + 5*r**4/4 - 5*r**3/2 + 5*r**2/2 + 13*r. Factor d(p).
-5*(p - 1)**3
Solve 10/9*z**2 + 2/9*z**4 + 4/9*z + 8/9*z**3 + 0 = 0 for z.
-2, -1, 0
Let b(g) be the second derivative of g**6/15 + 2*g**5/5 + g**4/6 - 2*g**3 - g. Factor b(x).
2*x*(x - 1)*(x + 2)*(x + 3)
Let s be 75/27 + 14/63. Factor 0*y**2 + 1 - 4*y - y**2 + 74*y**3 - 73*y**s + 3*y.
(y - 1)**2*(y + 1)
Let j(n) be the first derivative of n**4/26 - 4*n**3/39 + n**2/13 - 17. Factor j(z).
2*z*(z - 1)**2/13
Let a(c) be the third derivative of c**7/70 - c**6/10 + c**5/10 + c**4/2 - 3*c**3/2 - 8*c**2. Find n such that a(n) = 0.
-1, 1, 3
Suppose -1/3*c**4 - 1/3*c**2 - 8*c + 2*c**3 - 16/3 = 0. What is c?
-1, 4
Let r(g) be the first derivative of -275*g**6/24 - 19*g**5 + 61*g**4/16 + 77*g**3/6 - 5*g**2/2 - 2*g + 37. Let r(m) = 0. Calculate m.
-1, -2/11, 2/5
Let y(s) be the second derivative of -1/84*s**7 + 1/20*s**5 - 2*s + 0*s**2 + 0 + 0*s**6 - 1/12*s**3 + 0*s**4. Factor y(r).
-r*(r - 1)**2*(r + 1)**2/2
Let g be -1 - 0 - (28 - 29). Solve 0*o**2 - 2/9*o**3 + 0*o - 2/9*o**4 + g = 0 for o.
-1, 0
What is s in -1 - 2*s**2 + 0*s**2 + 4*s**2 - s**4 = 0?
-1, 1
Let i be (-7 - -9)*(11 + -1). Suppose 5*p - i = -0. Factor 28*l**5 - 3*l**3 - 6*l**p - 4*l**3 - 3*l**3 + 6*l**3.
2*l**3*(2*l - 1)*(7*l + 2)
Let v(f) = 20*f**3 - 16*f**2 + 4*f - 8. Let q(d) = d**3 + d. Let k(i) = -24*q(i) + v(i). Factor k(w).
-4*(w + 1)**2*(w + 2)
Suppose 4 = -2*b + b. Let q(u) = u**4 - 2*u**2 + 2*u - 1. Let c(s) = s**4 - 2*s**2 + 3*s - 2. Let j(i) = b*c(i) + 6*q(i). Factor j(d).
2*(d - 1)**2*(d + 1)**2
Let c(p) be the first derivative of p**3/6 - 3*p**2/4 + p + 3. Factor c(k).
(k - 2)*(k - 1)/2
Let p(r) be the second derivative of -4*r + 0 + 1/80*r**5 + 1/48*r**4 + 0*r**2 - 1/24*r**3 - 1/120*r**6. Factor p(t).
-t*(t - 1)**2*(t + 1)/4
Find p such that 2/7*p - 2/7*p**2 + 0 = 0.
0, 1
Suppose v - 2*v = -4. Let y be (v/(-6))/((-1)/3). Let 0*f**y + 0 + 0*f + 1/3*f**5 + 0*f**4 - 1/3*f**3 = 0. What is f?
-1, 0, 1
Let c(k) be the first derivative of -k**4/20 + 2*k**3/5 - 9*k**2/10 + 14. Factor c(p).
-p*(p - 3)**2/5
Let 4*h**4 + 3*h**2 - 17*h**3 + 5*h**4 + 2*h**3 + 3*h = 0. Calculate h.
-1/3, 0, 1
Let c(f) = f**2 - f - 2. Let i be c(0). Let o be (i + 1)/((-3)/6). Factor 1/3*l + 0 + 1/3*l**o.
l*(l + 1)/3
Let g(c) be the third derivative of c**5/90 + c**4/12 - 4*c**3/9 + 2*c**2 + 35. Find o such that g(o) = 0.
-4, 1
Let m be 0/(-2) + (-3)/5 + 3. Find s such that 8/5*s**4 + 0 - m*s**3 - 2/5*s + 8/5*s**2 - 2/5*s**5 = 0.
0, 1
Let r(y) be the second derivative of -1/3*y**3 + 0 - 1/12*y**4 - 1/2*y**2 - 5*y. Factor r(t).
-(t + 1)**2
Determine f so that -f**2 + 9*f**3 - 5*f + 2*f**5 + 21*f**4 + 4*f**5 - 7*f - 23*f**2 = 0.
-2, -1/2, 0, 1
Let d(g) be the first derivative of 4/3*g + 8/9*g**3 - 5/3*g**2 - 3 - 1/6*g**4. What is z in d(z) = 0?
1, 2
Let g(b) be the third derivative of b**6/720 - b**4/144 - 12*b**2. Determine k, given that g(k) = 0.
-1, 0, 1
Suppose 5*t = s - 22, -t + 0 = -5*s + 14. Suppose 6 = 4*d - s. Determine a, given that -3*a - d*a + 2*a**3 - 1 + 3*a + a**4 = 0.
-1, 1
Let b = 11 + -6. Let t = b - 3. Find l, given that -t*l**3 - 2/3*l**5 + 0*l + 0 - 2/3*l**2 - 2*l**4 = 0.
-1, 0
Suppose -10 = -5*i, 38 = 4*j - i - 0*i. Factor 4*n + 15*n**2 - n**2 - 8*n - j*n**3.
-2*n*(n - 1)*(5*n - 2)
Suppose -4*u - 4/5*u**3 - 24/5*u**2 + 0 = 0. Calculate u.
-5, -1, 0
Let t(w) = -w**2 + w. Let r(f) = f**3 + 3*f**2 - 6*f. Let k(m) = r(m) + 6*t(m). Determine q so that k(q) = 0.
0, 3
Let u(w) be the first derivative of -2*w**3/3 + 18*w + 12. Find y, given that u(y) = 0.
-3, 3
Suppose 1 - 20 = n + v, -5*n + 5*v = 85. Let m be (-20)/n - 4/6. Factor -m*j**3 - 2/9*j**4 - 2/9*j**2 + 0*j + 0.
-2*j**2*(j + 1)**2/9
Let u(d) be the second derivative of d**6/20 + 7*d**5/60 + d**4/24 - 9*d**2/2 - 6*d. Let v(j) be the first derivative of u(j). Factor v(o).
o*(o + 1)*(6*o + 1)
Let a(j) = 10*j**3 + 11*j. Let d(x) = x**3 + x. Let w be (-275)/11 + (-6)/(-2). Let r(y) = w*d(y) + 2*a(y). Find l such that r(l) = 0.
0
Suppose -5*l + 7 = r, 2*l - 4*r = -2*l + 20. Suppose 9*i**4 + 18*i**3 + 8*i**2 - i**3 - l*i**2 - 2*i**3 = 0. What is i?
-1, -2/3, 0
Let g = 157 + -107. What is f in -48 + 6*f**2 + g - f**3 + 3*f**3 + 6*f = 0?
-1
Let k(h) = 2*h - 6. Let o be k(5). Let u(v) be the first derivative of -3/4*v**o + 1/5*v**5 + v**3 - 1 + 0*v - 1/2*v**2. Factor u(x).
x*(x - 1)**3
Let f(m) = m. Let c(o) = -4*o**2 + 14*o - 16. Let b(d) = -c(d) - 2*f(d). Let b(j) = 0. Calculate j.
2
Let t(v) be the second derivative of v**7/147 + 2*v**6/105 - v**4/21 - v**3/21 - 2*v. Solve t(a) = 0.
-1, 0, 1
Let h(d) be the second derivative of d**4/18 - 10*d**3/9 + 25*d**2/3 - 8*d. Factor h(r).
2*(r - 5)**2/3
Let m(v) be the second derivative of 2/7*v**2 - 1/21*v**3 + 0 - 1/42*v**4 - 5*v. Factor m(u).
-2*(u - 1)*(u + 2)/7
Let z be ((-6)/(-9))/(8/2). Let m(p) be the second derivative of z*p**4 + p + 0 + 0*p**2 + 0*p**3 - 1/10*p**5. Solve m(r) = 0 for r.
0, 1
Let a(d) = 69*d**4 + 24*d**3 - 66*d**2 - 30*d - 3. Let y(m) = -m**4 - m**3 + m**2. Let x(b) = -a(b) + 6*y(b). Determine c so that x(c) = 0.
-1, -1/5, 1
Let b(o) be the first derivative of 0*o**2 + 2/9*o**3 + 1/6*o**4 - 1 + 0*o. Factor b(w).
2*w**2*(w + 1)/3
Find v such that -v**5 + 1602*v**4 - 1585*v**4 + 4*v**2 - 3*v**5 - 20*v**3 = 0.
0, 1/4, 2
Let l = 5869 - 3697469/630. Let a(p) be the third derivative of -p**2 - l*p**7 + 0*p**3 + 0*p**6 + 0*p + 0 + 0*p**5 + 0*p**4. Factor a(m).
-m**4/3
Let w(g) = -g**2 - 6*g + 3. Let d be w(-6). Factor -12*q**3 - 23*q**4 + 4*q**d