+ o. Let i(x) = 4*x**4 - 7*x**3 - 9*x**2 + 17*x - 8. Let t(p) = -i(p) - 3*l(p). Factor t(m).
-4*(m - 1)**3*(m + 2)
Let o = -5 - -13. Factor -9*a - 2*a**2 + 9*a + o.
-2*(a - 2)*(a + 2)
Suppose -2*p = 34 - 42. Factor -2/9*g**3 + 0 + 4/9*g**p - 2/9*g**5 + 0*g**2 + 0*g.
-2*g**3*(g - 1)**2/9
Let q(p) be the first derivative of 2*p**3 + 0*p**4 + 3/2*p**2 + 0*p + 4 - 1/2*p**6 - 6/5*p**5. Factor q(n).
-3*n*(n - 1)*(n + 1)**3
Let a = 18 + -10. Suppose -a - 7 = -3*o. Let -w**2 + o*w**2 - 2 - 6*w + 4 = 0. What is w?
1/2, 1
Let b(y) be the third derivative of -y**7/210 + y**6/60 - y**4/12 + y**3/6 + 7*y**2. Suppose b(t) = 0. What is t?
-1, 1
Let g(n) be the first derivative of -n**6/15 + 7*n**5/40 - n**4/12 - n**3/12 - 3*n + 1. Let p(h) be the first derivative of g(h). Solve p(t) = 0 for t.
-1/4, 0, 1
Let p(f) be the third derivative of -f**8/1008 + f**7/90 - f**6/20 + 11*f**5/90 - 13*f**4/72 + f**3/6 - 8*f**2. Solve p(c) = 0.
1, 3
Let x(d) be the second derivative of -d**7/14 - 4*d**6/15 - 7*d**5/20 - d**4/6 + 3*d. Determine h, given that x(h) = 0.
-1, -2/3, 0
Let s = -269/3 + 90. Let h(p) be the second derivative of -1/15*p**6 - p + 0 - p**2 + 0*p**5 + 0*p**3 + s*p**4. Suppose h(f) = 0. What is f?
-1, 1
Let w(y) be the second derivative of -1/48*y**4 - 9/8*y**2 + 0 - 1/4*y**3 - 3*y. Let w(z) = 0. Calculate z.
-3
Let t(o) = -o + 7. Let p be t(5). Let j be 5 + -1*p + 2. Find l such that -l**j + 2*l**5 + 0*l**4 + l**3 - 2*l**4 = 0.
0, 1
Let x(d) be the second derivative of 0 - 3*d - 1/30*d**6 - 11/36*d**4 + 11/60*d**5 + 1/3*d**2 + 1/18*d**3. Suppose x(t) = 0. What is t?
-1/3, 1, 2
Let c(j) = j - 1. Let r(i) = -i**2 - 6*i + 3. Let d(a) = -3*c(a) - r(a). Find n, given that d(n) = 0.
-3, 0
Suppose -3*h = r + 2*r - 168, -h = 2*r - 56. Let v be (-5)/4 + 70/h. Factor -8/3*p**4 + 2/3*p + 4*p**3 - 8/3*p**2 + v + 2/3*p**5.
2*p*(p - 1)**4/3
Factor -5 - 220*o**2 + 448*o**2 - 223*o**2.
5*(o - 1)*(o + 1)
What is z in 0*z**5 + 14*z**5 - 8*z**3 - 36*z**4 - 12*z - 4 + 6*z**5 + 40*z**2 = 0?
-1, -1/5, 1
Let a(u) = 108*u**3 + 78*u**2 - 37*u - 7. Let f(m) = 378*m**3 + 273*m**2 - 129*m - 24. Let h(x) = 18*a(x) - 5*f(x). Solve h(w) = 0.
-1, -2/9, 1/2
Let j(w) be the second derivative of -w**7/630 - w**6/360 + 3*w**2/2 + 2*w. Let n(h) be the first derivative of j(h). Factor n(d).
-d**3*(d + 1)/3
Let c = 6588/7 - 941. Factor -2/7*v**2 + 1/7*v**3 + c*v + 0.
v*(v - 1)**2/7
Suppose 2*k - 2*i - 2 = 0, 0 = k + k + 5*i + 5. Solve -2/13*b**4 + k*b + 0*b**3 + 2/13*b**2 + 0 = 0.
-1, 0, 1
Suppose -4*t + 5*l + 8 = 0, 3*l + 10 = 2*t + 3*t. Factor -2*f - 4*f**2 + 3*f**2 + 4*f**t - f**2.
2*f*(f - 1)
Let i(t) be the second derivative of 2*t**6/105 - 2*t**4/21 + 2*t**2/7 - 5*t. What is v in i(v) = 0?
-1, 1
Let p be 1/14*1/4*14. Let w be (1 - -2) + 0 - 0. Factor 0*n + 0*n**2 - p*n**w + 0.
-n**3/4
Let a be 2 - ((0 - 1) + 0). Factor -3*i**a + 8*i + 6 - i + 2*i + 0*i.
-3*(i - 2)*(i + 1)**2
Let q = 99/20 + -69/20. Solve 0 + 0*m + q*m**3 + 0*m**2 + 21/4*m**4 = 0 for m.
-2/7, 0
Let y(t) be the first derivative of -2*t**3/9 - t**2/3 + 5. Factor y(x).
-2*x*(x + 1)/3
Factor 2/11 + 0*j**3 + 0*j + 2/11*j**4 - 4/11*j**2.
2*(j - 1)**2*(j + 1)**2/11
Let c be 52/28 - ((-4)/(-7))/(-4). Determine f so that 0 - 2/7*f**c - 4/7*f = 0.
-2, 0
Let m(f) = 0 + 4 + 0*f + f**2 + 4*f. Let c be ((-8)/(-2))/(-7 - -6). Let w(v) = v**2 + 4*v + 4. Let r(k) = c*m(k) + 3*w(k). Factor r(n).
-(n + 2)**2
Let r(c) be the second derivative of -c**7/4200 - c**6/900 - c**5/600 + 2*c**3/3 - 5*c. Let s(a) be the second derivative of r(a). What is q in s(q) = 0?
-1, 0
Suppose -18*j - 8 = -22*j. Suppose -f + 4 = -6. Find m such that f*m**j + 1 + 13/2*m = 0.
-2/5, -1/4
Let i(l) be the first derivative of l**6/24 + 3*l**5/20 + 3*l**4/16 + l**3/12 + 12. Factor i(g).
g**2*(g + 1)**3/4
Let u be (3 - -2)*8/10. Let n be -1*(2 + -1) - -3. Factor -u*q - 1 + 2*q**n + 2 + 1.
2*(q - 1)**2
Let y(h) be the third derivative of -5*h**8/56 - 53*h**7/140 - 7*h**6/20 - h**5/10 + 9*h**2. What is i in y(i) = 0?
-2, -2/5, -1/4, 0
Let v be (2 + -1)*-3*-1. Let h be (3 + -2)/(v/15). Factor 10*f**3 + 23*f**2 + 2 + 13*f**3 + h*f + 8*f + 7*f**4 + 4*f**2.
(f + 1)**3*(7*f + 2)
Let b(l) = -6*l**4 + 12*l**3 - 14*l**2 + 2*l + 2. Let o(i) = 19*i**4 - 36*i**3 + 43*i**2 - 5*i - 7. Let u(n) = 7*b(n) + 2*o(n). Find c such that u(c) = 0.
0, 1
Let d(t) = -t + 7. Let u = 11 + -6. Let m be d(u). Let 17*s**2 + 33*s**m - 9 + 21 + 6 + 60*s = 0. What is s?
-3/5
Suppose 24 = -2*d + 30. Let k(f) be the first derivative of 2/15*f**d + 0*f - 1 + 2/5*f**2. Suppose k(a) = 0. Calculate a.
-2, 0
Let q(a) = a**3 + 5*a**2 - 6*a + 3. Let h be q(-6). Suppose h*d - 4*d + 2 = 0. Determine x so that -2/3 - 2/3*x + 2/3*x**3 + 2/3*x**d = 0.
-1, 1
Suppose 3*s**4 - s**4 + s - 2*s**2 + 2*s**5 - 3*s**5 + 4*s**3 - 4*s = 0. Calculate s.
-1, 0, 1, 3
Let a(f) be the second derivative of f**6/60 - 3*f**5/40 + f**3/3 - 2*f. Let a(o) = 0. What is o?
-1, 0, 2
Let g(p) be the second derivative of -27*p**5/20 + p**4/2 - 35*p. Factor g(d).
-3*d**2*(9*d - 2)
Let k(b) be the third derivative of -b**6/900 - 2*b**5/225 - b**4/36 - 2*b**3/45 - 17*b**2. Find v such that k(v) = 0.
-2, -1
Let 0 - 2/3*h**2 - 2/9*h**3 - 4/9*h = 0. What is h?
-2, -1, 0
Let k(j) = 11*j**3 - 10*j**2 - 19*j + 6. Let w(g) = -45*g**3 + 40*g**2 + 75*g - 25. Let y(r) = 15*k(r) + 4*w(r). Factor y(u).
-5*(u - 1)*(u + 1)*(3*u - 2)
Let u be (-7)/(-4) + 5/20. Factor v**2 + v**2 - v**u + v**2 - 4*v.
2*v*(v - 2)
Suppose 0 = 3*o + b - 10, 0*o + o - 2*b - 8 = 0. Let -19*d**o + 22*d**3 + 3*d**4 - 16*d - 6*d**3 + 3 + 1 + 12*d**2 = 0. Calculate d.
-1, 1/2, 1
Let s be ((-6)/(-10))/((6/15)/2). Factor 0*u - 2*u**s - 14/9*u**4 - 4/9*u**2 + 0.
-2*u**2*(u + 1)*(7*u + 2)/9
Let m(c) = c + 1. Let y be m(-2). Let j be 4/10 + 0/y. Factor -2/5*v**3 + j*v**2 + 2/5*v - 2/5.
-2*(v - 1)**2*(v + 1)/5
Let j(m) be the third derivative of -m**7/84 - m**6/24 - m**5/24 + 16*m**2. Factor j(s).
-5*s**2*(s + 1)**2/2
Let k(u) be the first derivative of -u**4/24 - u**3/4 - u**2/2 + u + 3. Let f(o) be the first derivative of k(o). Factor f(p).
-(p + 1)*(p + 2)/2
Let l(g) = g - 3. Let a be l(7). Let c be 13/a + 1/(-4). Solve 4*y**c + 0*y - y**3 - 3*y = 0.
-1, 0, 1
Let u(c) = -c**4 + c**2 - 1. Let b(g) = 15*g**4 + 78*g**3 + 567*g**2 + 936*g + 444. Let t(l) = -b(l) - 12*u(l). Find s such that t(s) = 0.
-12, -1
Let v be ((-3)/2)/(2/(-4)). Let l = v - 2. Factor 4*y**2 - 1 - l - 3*y**4 + y**4.
-2*(y - 1)**2*(y + 1)**2
Let u(i) = -i + 5. Let a(t) = t - 4. Let x(o) = 4*a(o) + 3*u(o). Let f be x(3). Suppose 3*j**2 - 3*j**2 - j**f - j = 0. Calculate j.
-1, 0
Let s(r) be the second derivative of -1/2*r**2 + 0 - 1/6*r**3 - r - 1/48*r**4. Find n, given that s(n) = 0.
-2
Let j(o) be the second derivative of -o**7/273 - 2*o**6/195 + 6*o**5/65 - 7*o**4/39 + 5*o**3/39 - 27*o. Solve j(h) = 0 for h.
-5, 0, 1
Let b(x) = -x**2 + 3*x + 2. Let c be b(3). Factor -2*u**4 - u**4 + 41*u**2 - 47*u**c + 0*u**4 + 9*u**3.
-3*u**2*(u - 2)*(u - 1)
Let y(c) = 15*c**3 + 15*c**2 + 5. Let o(v) = v**4 + 16*v**3 + 16*v**2 + 4. Let x(i) = 5*o(i) - 4*y(i). Factor x(p).
5*p**2*(p + 2)**2
Let w = -3/25 - -37/100. Suppose 4*d + 1 = 5. Factor d + w*c**2 - c.
(c - 2)**2/4
Factor 0*p + 0 - 1/5*p**3 + 0*p**2 + 0*p**4 + 1/5*p**5.
p**3*(p - 1)*(p + 1)/5
Factor 1 - 2*n**2 - 5*n**3 + 1 + 2*n + 3*n**3.
-2*(n - 1)*(n + 1)**2
Suppose -a + 3*i + 4 = 0, -a + i + 5 = 3*a. Let q be (-1)/(0 - a/3). Factor -4/3*r + 0 + 14/3*r**2 + 8/3*r**q.
2*r*(r + 2)*(4*r - 1)/3
Let h(l) be the second derivative of 0*l**2 - 1/40*l**5 + 1/48*l**4 + 0 - 1/40*l**6 - 2*l + 0*l**3. Find s such that h(s) = 0.
-1, 0, 1/3
Let -7*n**3 - 3*n**5 - 9*n**4 + 3*n**3 - 2*n**3 = 0. Calculate n.
-2, -1, 0
Factor -405*z**5 - 107*z**3 - 20*z + 42*z**3 - 41*z**2 + 90*z**2 - 630*z**4 + 91*z**2.
-5*z*(z + 1)**2*(9*z - 2)**2
Let d(c) = 3*c**2 + 4*c + 1. Let p(m) = m**3 + m**2 - m - 1. Let k(v) = d(v) + p(v). Determine a so that k(a) = 0.
-3, -1, 0
Suppose -2*n - n = -12. Let s(p) = p**3 - 4*p**2 + 3. Let q be s(4). Factor -r**n + 4*r**q - 3*r**3 + 0*r**3.
-r**3*(r - 1)
Let u(l) = -180*l**2 + 12*l + 15. Let m(y) = y**2 + 6*y - 5. Let f be m(-7). Let n(k) = 45*k**2 - 3*k - 4. Let q(t) = f*u(t) + 9*n(t). Solve q(h) = 0.
-1/3, 2/5
Let u be (-4)/3*6/(-2). Let y = 12 - 8. Factor -3*a**4 - 