q(u) = u**2 - u + 1. Let s(p) = -2*p - 7*p + 3*p. Let j(g) = -2*q(g) + s(g). Determine z so that j(z) = 0.
-1
Find c such that 2*c**3 + 2*c**2 - 6 - 2 + 190*c - 198*c = 0.
-2, -1, 2
Let u be 2 + -3 + (-1 - -4). Let t(w) be the third derivative of 0*w + 1/15*w**5 + w**u + 1/105*w**7 + 0 + 0*w**4 + 1/20*w**6 + 0*w**3. Solve t(r) = 0 for r.
-2, -1, 0
Factor -1/2 - 5/4*j**3 + 1/2*j**2 + 5/4*j.
-(j - 1)*(j + 1)*(5*j - 2)/4
Suppose -m = -4*x + 7, 2*m + 3 = -x + 7. Let y(i) be the second derivative of i**x + i - 2/3*i**3 + 1/6*i**4 + 0. Solve y(u) = 0 for u.
1
Let n be (-13)/(-11) + 1*-3 + 2. Suppose n*y + 2/11*y**4 + 0 - 2/11*y**3 - 2/11*y**2 = 0. What is y?
-1, 0, 1
Let q(a) be the third derivative of -a**7/1260 - a**6/360 + a**5/360 + a**4/72 - 3*a**2. Factor q(s).
-s*(s - 1)*(s + 1)*(s + 2)/6
Let j = -8 + 13. Find l such that 3*l - 4*l**3 - l**j + 1 + 0*l**5 + 2*l**3 - 3*l**4 + 2*l**2 = 0.
-1, 1
Let g = 9 - 8. Let w(r) = 3*r**2 + r - 1. Let s be w(g). Find x, given that 1 + 3*x**3 - x**2 - x + 0*x**3 - 2*x**s = 0.
-1, 1
Let x(a) be the second derivative of -a**8/1680 - a**7/210 - a**6/60 - a**5/30 - a**4/12 - a. Let p(t) be the third derivative of x(t). Solve p(g) = 0.
-1
Let w(o) be the first derivative of 3*o**5/25 + 3*o**4/10 - 3*o**2/5 - 3*o/5 + 8. Factor w(u).
3*(u - 1)*(u + 1)**3/5
Let d be (2 - 2)*(3/2 - 2). Let k(r) be the third derivative of -r**2 + 0*r + 1/50*r**5 + 1/525*r**7 + 0 + d*r**3 + 1/60*r**4 + 1/100*r**6. Factor k(n).
2*n*(n + 1)**3/5
Let p(d) be the first derivative of -4*d**2 - 1 + 8/9*d + 6*d**3. Factor p(v).
2*(9*v - 2)**2/9
Let d(z) be the third derivative of 2*z**2 + 0*z + 0*z**3 - 1/240*z**5 + 1/96*z**4 + 0. Solve d(p) = 0 for p.
0, 1
Let t(g) be the first derivative of -g**7/420 + g**6/90 + g**3 + 5. Let y(d) be the third derivative of t(d). Factor y(i).
-2*i**2*(i - 2)
Factor -7*r**2 + 37*r**2 - r**3 - 156*r + 1000 - 144*r.
-(r - 10)**3
Let c = 1/703 + 5619/3515. Determine z, given that 2/5*z**2 - c + 0*z = 0.
-2, 2
Let -13*w**2 + 8 + 4 + 4*w**2 + 3*w**3 + 0*w**2 = 0. Calculate w.
-1, 2
Let h(t) be the first derivative of -t**5/10 + t**3 - 2*t**2 + 4*t + 1. Let s(g) be the first derivative of h(g). Suppose s(l) = 0. Calculate l.
-2, 1
Let i(u) be the third derivative of 0*u + 0*u**5 - 1/6*u**3 - 2*u**2 + 1/900*u**6 + 0 + 0*u**4. Let b(c) be the first derivative of i(c). Factor b(k).
2*k**2/5
Let b(z) be the first derivative of -2 + 0*z - 2/3*z**3 - 2*z**2. Factor b(n).
-2*n*(n + 2)
Let q(a) = -a**2 - 40*a - 395. Let u be q(-19). Factor 2/3*w**2 - 2/9*w**u - 4/9*w + 0 + 0*w**3.
-2*w*(w - 1)**2*(w + 2)/9
Let b(a) = -a**3 - a - 1. Let i(f) = -f**2 - 1. Let w(y) = y**3 + 11*y**2 + 4*y + 11. Let t(z) = -6*i(z) - w(z). Let d(c) = -10*b(c) + 2*t(c). Factor d(p).
2*p*(p - 1)*(4*p - 1)
Factor -14/3*z + 10/3*z**2 + 2 - 2/3*z**3.
-2*(z - 3)*(z - 1)**2/3
Let y(a) = -a**2 - a - 4. Let g be y(-5). Let t be 4/g - (-29)/30. Suppose t*p**4 - 2/5*p - 6/5*p**2 + 2/5*p**3 + 2/5 = 0. What is p?
-1, 1/2, 1
Find k such that -48*k**2 + 54*k**3 - 4/9 + 26/3*k = 0.
1/9, 2/3
Let g(j) = -3*j**2 - 13*j + 4. Let x(m) = -2*m**2 - 9*m + 3. Let d(q) = -5*g(q) + 7*x(q). Factor d(l).
(l + 1)**2
Factor -1/6*d - 1/3 + 1/6*d**2.
(d - 2)*(d + 1)/6
Let c(u) be the second derivative of u**5/80 - u**3/24 - 24*u. Factor c(f).
f*(f - 1)*(f + 1)/4
Let m be (0/(-1))/(5/5). Let x(j) be the first derivative of j**4 + 0*j + 1 - 1/3*j**6 + 0*j**5 + m*j**3 - j**2. Let x(n) = 0. Calculate n.
-1, 0, 1
Suppose 3*k = -5*q - 3, -k - 1 = 4*q - 0. Let h be -8*4/280*10/(-4). Factor q - h*w**3 + 2/7*w**2 + 0*w.
-2*w**2*(w - 1)/7
Let y(b) be the third derivative of b**6/180 + b**5/30 - b**3/6 - b**2. Let q(c) be the first derivative of y(c). Find m, given that q(m) = 0.
-2, 0
Factor 4*s**2 + 1 - 2*s - 1 + 4*s**4 - 8*s**2 + 2*s**5.
2*s*(s - 1)*(s + 1)**3
Factor -3/5*a - 3/5*a**2 + 3/5*a**3 + 3/5.
3*(a - 1)**2*(a + 1)/5
Let h(r) be the first derivative of -r**7/14 + 2*r**6/5 - 9*r**5/10 + r**4 - r**3/2 + 3*r + 3. Let u(l) be the first derivative of h(l). Factor u(g).
-3*g*(g - 1)**4
Factor -22 - 25 - 9*g - 9*g**2 - 3*g**3 + 44.
-3*(g + 1)**3
Let i(v) be the first derivative of -v**4/20 + v**3/5 + 55. Determine m, given that i(m) = 0.
0, 3
Let s(h) be the second derivative of -3*h**5/80 + h**4/24 + h**3/24 + h. Factor s(i).
-i*(i - 1)*(3*i + 1)/4
Let y(s) = -s**3 + 9*s**2 - 4*s. Let t(i) = -4*i**3 + 26*i**2 - 11*i. Let n(w) = -4*t(w) + 11*y(w). Factor n(m).
5*m**2*(m - 1)
Let x(h) = -3*h**3 + 5*h**2 - 11*h + 1. Let g(k) = -2*k**3 + 3*k**2 - 6*k + 1. Suppose 7*t + 12 = 3*t. Let v(f) = t*x(f) + 5*g(f). Suppose v(u) = 0. What is u?
-1, 2
Let b(y) be the second derivative of y**7/42 - y**5/5 + y**4/6 + y**3/2 - y**2 + 6*y. Determine h, given that b(h) = 0.
-2, -1, 1
Let l(f) be the second derivative of -f**5/30 + 5*f**4/18 + 13*f**3/9 + 7*f**2/3 - 2*f + 11. Let l(y) = 0. What is y?
-1, 7
Let r(c) be the first derivative of -c**6/630 - c**5/70 - c**4/21 + c**3 - 3. Let b(o) be the third derivative of r(o). Determine h so that b(h) = 0.
-2, -1
Factor 0*w**2 + 2/3 + w - 1/3*w**3.
-(w - 2)*(w + 1)**2/3
Let v(r) = r**3 + 2*r**2 - 5*r - 4. Let i be (-1)/(3*(-2)/(-18)). Let x be v(i). Factor 2*n - 4*n**2 + 4*n + 2*n**x - 4.
-2*(n - 2)*(n - 1)
Let n = 364/3 - 3992/33. Solve 16/11*u**2 - 12/11*u + 2/11 + 8/11*u**5 + n*u**3 - 18/11*u**4 = 0 for u.
-1, 1/4, 1
Suppose -5*g - 23 = w, w + 2*g + 1 = -7. Suppose 2*v - 19 + 0 = -5*h, -4*v = -w*h - 2. Let -1/3*t**4 + 0*t + 0 - 1/3*t**2 - 2/3*t**h = 0. Calculate t.
-1, 0
Let i = 1199/64785 - -1/1851. Let b(f) be the third derivative of 1/12*f**6 + 0 + i*f**7 + 1/10*f**5 + f**2 + 0*f - 1/3*f**3 - 1/12*f**4. Solve b(w) = 0.
-1, 1/2
Let v = 6 + -7. Let d(w) = w**4 + w**2 + w + 1. Let y(p) = -p**4 + 2*p**3 - 2*p**2 - 4*p - 3. Let c(o) = v*y(o) - 2*d(o). Factor c(h).
-(h - 1)*(h + 1)**3
Let u be (-1 - -2) + 1 + 1. Suppose 0 = u*i - 7*i. Let 2*q**2 - 2 + 0 + i*q**2 = 0. Calculate q.
-1, 1
Let j = -75 - -53. Let t be (j/(-77))/(3/7). Factor 0 + 2/3*f - t*f**3 - 2/3*f**2 + 2/3*f**4.
2*f*(f - 1)**2*(f + 1)/3
Let t(m) be the second derivative of 1/30*m**4 + 0 - 4*m + 1/15*m**3 + 0*m**2. Suppose t(g) = 0. Calculate g.
-1, 0
Let z(y) be the third derivative of 1/33*y**4 + 0*y - 5*y**2 - 4/33*y**3 + 0 - 1/330*y**5. Solve z(i) = 0.
2
Suppose c + 3*c = 0. Suppose 2*m - 10 = -u, -5*u + 5*m = -c*u + 10. Factor q**2 - u*q**2 + q + q.
-q*(q - 2)
Let w(v) be the first derivative of v**6/24 + v**5/10 + v**4/16 + 1. Suppose w(m) = 0. What is m?
-1, 0
Let q(b) be the second derivative of -5*b**7/42 + b**6/6 + 3*b**5/4 - 5*b**4/12 - 5*b**3/3 + 17*b. Determine l, given that q(l) = 0.
-1, 0, 1, 2
Let j(m) be the third derivative of m**6/200 + m**5/75 - m**4/24 - m**3/15 + 7*m**2. Factor j(i).
(i - 1)*(i + 2)*(3*i + 1)/5
Let c(m) = m**2. Let f(q) = 3*q**2 + 4*q + 4. Suppose k + 5 = -3*b, 3*k = -2*k - 4*b - 14. Let n be 16/(-24)*(-6)/4. Let t(h) = k*c(h) + n*f(h). Factor t(a).
(a + 2)**2
Factor -1/4*h**2 + 5/4*h - 3/2.
-(h - 3)*(h - 2)/4
Let z(t) = -4*t**2 + 5*t. Let a(d) = -d**2 + 9*d + 2. Suppose -8 = 2*m - 26. Let u be a(m). Let l(j) = -j**2 + j. Let k(n) = u*z(n) - 10*l(n). Factor k(x).
2*x**2
Let f(v) = -80*v - 3*v**3 + 13*v**2 + 79 + 12*v**2 - v. Let b(j) = 21*j**3 - 174*j**2 + 567*j - 552. Let i(w) = -2*b(w) - 15*f(w). Factor i(h).
3*(h - 3)**3
Let m(q) be the third derivative of 0*q**3 - 1/350*q**7 + 1/100*q**5 - q**2 + 0*q**4 + 0*q + 0 - 1/560*q**8 + 1/200*q**6. Factor m(p).
-3*p**2*(p - 1)*(p + 1)**2/5
Factor -482/5*m**2 - 162/5*m**4 + 468/5*m**3 - 32/5 + 208/5*m.
-2*(m - 1)**2*(9*m - 4)**2/5
Let m(k) = 3*k**3 - k**2. Let d be m(1). Suppose -4 = a - d*a. Solve 2*i**a + 0 + 3*i**3 + 2*i**2 + 1/2*i + 1/2*i**5 = 0.
-1, 0
Let a(v) be the first derivative of 4*v**5/35 + 6*v**4/7 + 16*v**3/7 + 16*v**2/7 - 2. Suppose a(l) = 0. Calculate l.
-2, 0
Let c(d) be the first derivative of -5*d**6/6 - 5*d**5 - 35*d**4/4 - 5*d**3 - 17. Find l, given that c(l) = 0.
-3, -1, 0
Let v(a) be the third derivative of -a**7/105 + a**6/30 - a**5/30 + 9*a**2. Suppose v(q) = 0. What is q?
0, 1
Let r = 10 + -25. Let m be 24/r + 0 + 2. Let m*v**3 + 0*v**4 - 2/5*v**5 + 0*v + 0 + 0*v**2 = 0. Calculate v.
-1, 0, 1
Let g(x) be the second derivative of -x**5/2 + x**4/3 + 20*x**3/3 - 8*x**2 - 2*x. Supp