 q, given that j(q) = 0.
0, 2
Let q(f) = -4*f**2 - 2. Let d(s) = 120*s - s**2 - 120*s. Let l(w) = 6*d(w) - q(w). Factor l(p).
-2*(p - 1)*(p + 1)
Let r be (-6)/(24/76) - 3. Let i be -4 + (-5 - 202/r). What is h in -i*h**4 - 4/11*h**3 + 0*h - 2/11*h**2 + 0 = 0?
-1, 0
Let c(j) be the first derivative of -2*j**3/21 + 11*j**2/7 - 309. Find a such that c(a) = 0.
0, 11
Let q(y) be the third derivative of 8/9*y**4 - 16*y**2 + 0 + 0*y - 1/315*y**7 - 4/15*y**5 - 16/9*y**3 + 2/45*y**6. Find r, given that q(r) = 0.
2
Let j(u) be the first derivative of u**4 + 32*u**3/3 + 26*u**2 + 24*u - 311. Find q, given that j(q) = 0.
-6, -1
Suppose 53 = 6*o + 17. Suppose b - o = -2. Find t such that t + 2*t - 5*t - b*t**2 - 6*t - 4 = 0.
-1
Let c(k) be the first derivative of 4*k**3/21 + 6*k**2/7 - 16*k/7 + 18. Determine i so that c(i) = 0.
-4, 1
Let t(y) be the first derivative of y**7/140 - y**6/150 - y**5/200 + 5*y - 30. Let p(k) be the first derivative of t(k). Factor p(i).
i**3*(i - 1)*(3*i + 1)/10
Suppose 4*i - 14 = -2*r, -i = 90*r - 93*r + 7. Let z(a) be the second derivative of -2/5*a**i + 6*a - 1/5*a**3 - 1/30*a**4 + 0. Factor z(g).
-2*(g + 1)*(g + 2)/5
Let r be -6*(30/(-9) - -3). Suppose -4*w = -12, w + r*w + 23 = 4*v. Let -v*n**4 - 8 + 4*n**3 + 3*n**2 + 9*n**4 - 3*n**4 - 8*n + 3*n**2 = 0. Calculate n.
-1, 2
Let s(c) be the first derivative of c**5/40 + 5*c**4/32 + c**3/4 + 723. Factor s(t).
t**2*(t + 2)*(t + 3)/8
Let d = 1039/7905 - -1/527. Let c(g) be the second derivative of -8*g**3 - 2/3*g**4 - 3*g + 0 - 16*g**2 + 3/5*g**5 + d*g**6. Solve c(f) = 0 for f.
-2, -1, 2
Let g(f) = -66*f + 794. Let a be g(12). Factor 18*s**3 + 0*s - 147/4*s**5 - 3*s**a - 63/4*s**4 + 0.
-3*s**2*(s + 1)*(7*s - 2)**2/4
Let h(i) be the first derivative of -18 - 7/6*i**2 + 49/6*i + 1/18*i**3. Factor h(c).
(c - 7)**2/6
Suppose x**5 + x**3 - 10*x**3 - 33*x**3 + 5*x**4 - 19*x + 76*x**2 - 21*x = 0. Calculate x.
-10, 0, 1, 2
Let c(h) = -13*h**3 + 15*h**2 + 10*h. Let y(n) = 13*n**3 - 15*n**2 - 12*n. Let v(f) = 7*c(f) + 6*y(f). Determine g, given that v(g) = 0.
0, 2/13, 1
Let l(d) = d**2 + 7*d + 3. Let b be l(-3). Let i be 1 - -3*(-12)/b. What is v in -5*v**i + 3*v**4 - v**5 - v**5 - 2*v**5 = 0?
0, 1/3
Let p(o) be the second derivative of -o**7/36 - 2*o**6/9 + 61*o**5/120 - 7*o**4/36 + 2*o + 5. Determine x so that p(x) = 0.
-7, 0, 2/7, 1
Factor 0 + 2*f**3 + 0*f + 16/3*f**2 + 1/6*f**4.
f**2*(f + 4)*(f + 8)/6
Factor -11*d - 144*d**2 - 21*d + 28 + 148*d**2.
4*(d - 7)*(d - 1)
Let h(c) be the third derivative of c**9/3780 - c**8/5040 - c**7/420 + c**5/3 + 8*c**2. Let s(u) be the third derivative of h(u). Factor s(v).
4*v*(v - 1)*(4*v + 3)
Let r be (119/14 + -3)/(2/4). Let t(k) = 6*k**2 + 16*k + 12. Let b(v) = -17*v**2 - 47*v - 37. Let l(x) = r*t(x) + 4*b(x). Solve l(y) = 0 for y.
-4, -2
Solve 10*j**3 - 29*j**2 + 22*j - 9/2 + 3/2*j**4 = 0 for j.
-9, 1/3, 1
Let i = -12 + 17. Let v be (5/(-10))/((-2)/i). Factor 1/2 - 5/4*f**3 - 1/2*f**2 + v*f.
-(f - 1)*(f + 1)*(5*f + 2)/4
Let c = -1307 - -1309. Find x such that -c*x + 2 + 1/2*x**2 = 0.
2
Let t be 2/2 + (-4 + -3 - -201). Let q = t - 971/5. Factor 0*j + 2/5*j**4 + 0 - 6/5*j**3 + q*j**2.
2*j**2*(j - 2)*(j - 1)/5
Factor -32/3 + 2/9*k**2 + 16/9*k.
2*(k - 4)*(k + 12)/9
Let a be (-4)/40*(3/9 - 1). Let r(c) be the second derivative of 2*c + a*c**4 + 4/15*c**3 + 0*c**2 + 0. Factor r(p).
4*p*(p + 2)/5
Let a(t) be the third derivative of 11*t**2 + 0 - 1/42*t**7 - 1/12*t**6 - 1/6*t**3 - 1/336*t**8 + 0*t - 1/6*t**5 - 5/24*t**4. Determine w so that a(w) = 0.
-1
Let k(l) be the second derivative of -l**5/30 + l**4/12 + 3*l**2 + 16*l. Let s(h) be the first derivative of k(h). Solve s(g) = 0 for g.
0, 1
Let -250*m - 5*m**4 + 10*m**2 - 50*m**3 - 50 - 40*m**2 - 70 - 145*m**2 = 0. What is m?
-4, -3, -2, -1
Let o(f) be the second derivative of 5/2*f**2 + 0 - 1/2*f**5 + 8*f + 5/6*f**3 + 1/6*f**6 + 5/42*f**7 - 5/6*f**4. Find k such that o(k) = 0.
-1, 1
Let r(m) = m**2 - 2*m. Let w be r(2). Suppose -8*f + 15 + 9 = 0. Determine n, given that 2*n**4 + 2*n**f + 2*n**3 + w*n**4 = 0.
-2, 0
Find c, given that 1404/5 + 3/5*c**3 + 3/5*c**2 - 72*c = 0.
-13, 6
Let d(h) = -43*h**2 - 2*h**3 + 35*h**2 + 2 + 3*h**4 + 7*h**3 - 2*h**3. Let v(s) = s**4 + s**3 - s**2 + 1. Let w(p) = 3*d(p) - 6*v(p). Factor w(r).
3*r**2*(r - 2)*(r + 3)
Let h(q) = 3*q**2 + 6*q - 24. Let w(b) be the second derivative of b**4/4 + b**3 - 12*b**2 + 19*b. Let x(z) = -4*h(z) + 3*w(z). Solve x(n) = 0.
-4, 2
Suppose 4*z + 4*f - 12 = -4, -5*z + 4*f + 19 = 0. Let a(u) be the first derivative of -3*u - 15*u**2 - 4*u**3 + u**z - 6 - 11*u**3 - 11*u**3. Factor a(g).
-3*(5*g + 1)**2
Let c(s) be the third derivative of s**5/360 + 181*s**4/72 + 32761*s**3/36 - 90*s**2 - 1. Determine o, given that c(o) = 0.
-181
Let w(q) be the third derivative of -q**6/1320 - q**5/165 - q**4/66 - 56*q**2. Solve w(i) = 0 for i.
-2, 0
Let u be 8/28 + 120/(-28) + 4. Let z(r) be the third derivative of 1/360*r**5 + 0 + u*r + 1/144*r**4 + 0*r**3 + 3*r**2. Factor z(l).
l*(l + 1)/6
Let w(z) be the third derivative of z**7/315 + z**6/180 - z**5/6 + 23*z**4/36 - 10*z**3/9 - 5*z**2 - 6. Factor w(u).
2*(u - 2)*(u - 1)**2*(u + 5)/3
Suppose -6 + 96 = 30*x. Let z(f) be the second derivative of -5*f + 1/40*f**5 + 1/2*f**2 - 1/12*f**x - 1/12*f**4 + 0. Find l, given that z(l) = 0.
-1, 1, 2
Let i(h) be the second derivative of -h**5/60 - h**4/4 - 3*h**3/2 - 10*h**2 + 3*h. Let q(u) be the first derivative of i(u). Factor q(x).
-(x + 3)**2
Let r(u) be the second derivative of -u**5/35 + 13*u**4/42 - 22*u**3/21 + 8*u**2/7 + 2*u - 70. Solve r(v) = 0.
1/2, 2, 4
Let n(f) be the second derivative of -5/2*f**3 - 7*f + 6*f**2 + 0 + 1/4*f**4. Find v such that n(v) = 0.
1, 4
Let t(o) = -14*o**4 - 43*o**3 - 175*o**2 - 195*o - 10. Let i(l) = -20*l**4 - 65*l**3 - 263*l**2 - 293*l - 14. Let h(b) = -5*i(b) + 7*t(b). Solve h(j) = 0.
-5, -2, 0
Let l(u) be the second derivative of -u**7/42 - 7*u**6/30 + u**5/4 + 25*u**4/4 - 467*u. Factor l(z).
-z**2*(z - 3)*(z + 5)**2
Let i(n) = 41*n - 203. Let f be i(5). Let g(m) be the first derivative of 1/6*m**6 + 0*m + 6 + 3/4*m**4 + 1/3*m**3 + 0*m**f + 3/5*m**5. Solve g(z) = 0 for z.
-1, 0
Let v = -55 - -58. Factor -2*s**2 - 42*s + v*s**2 + 0*s**2 + 39*s.
s*(s - 3)
Let y = -13477/21 + 4497/7. Factor -6 + y*p**2 - 16/3*p.
2*(p - 9)*(p + 1)/3
Let c(b) = -b**4 - b**2 - b - 1. Suppose -8*r + 31 = 39. Let p(n) = -8*n**4 + 24*n**3 - 5*n**2 - 5*n - 5. Let s(t) = r*p(t) + 5*c(t). Factor s(d).
3*d**3*(d - 8)
Let -12/11*j**3 + 0 - 2/11*j**4 + 14/11*j**2 + 0*j = 0. Calculate j.
-7, 0, 1
Let m = 149 + -145. Suppose 0 = 5*l - 5*f, 4*l - 3*f + 2 = m. Find a such that 14/11*a**l + 4/11*a - 14/11*a**4 - 4/11*a**3 + 0 = 0.
-1, -2/7, 0, 1
Let h(q) be the third derivative of 0*q**3 - 1/210*q**6 + 0*q**5 + 29*q**2 + 0 + 0*q**4 - 1/735*q**7 + 0*q. Factor h(j).
-2*j**3*(j + 2)/7
Let w(y) = -y**3 + 5*y**2 - 2*y + 12. Let i be w(5). Let l(n) be the first derivative of -3*n + 9/4*n**i + 6 - 1/2*n**3. Let l(r) = 0. Calculate r.
1, 2
Let u(w) be the first derivative of -w**4/5 + 28*w**3/15 - 14*w**2/5 - 12*w + 409. Determine y so that u(y) = 0.
-1, 3, 5
Suppose v = 2*v - b - 22, -b + 80 = 5*v. Suppose y + 17 = v. Let 1/5*c**2 + y*c + 1/5*c**4 + 2/5*c**3 + 0 = 0. What is c?
-1, 0
Let o be ((-10)/6)/((-2)/6). Let u be 2 + 0 + o + -7. Solve 2*x**2 + 5*x**4 + 7*x**2 - 10*x**3 - 4*x**2 + u*x**2 = 0.
0, 1
Let h(g) = g**2 + 10*g + 31. Let f be h(-3). Suppose 6*d = 2*d + 8. Factor 7*c - 3 + c**d - f*c**2 + 5.
-(c - 1)*(9*c + 2)
Let u(h) = 5*h**2 + 10*h - 9. Let q(g) = -2*g**2 - 6*g + 4. Let c(p) = 7*q(p) + 4*u(p). Factor c(l).
2*(l + 1)*(3*l - 4)
Let t = -11 - -30. Let v = -17 + t. Let i**5 - 2*i**2 + 2*i**5 + 0*i**5 - i + 2*i**4 - v*i**5 = 0. What is i?
-1, 0, 1
Let f(y) be the third derivative of -16*y**2 + 0*y + y**3 - 19/24*y**4 + 0 + 1/20*y**5. Find z such that f(z) = 0.
1/3, 6
Suppose 36 + 78*g + 169/4*g**2 = 0. Calculate g.
-12/13
Suppose 48 = 76*i - 73*i. Suppose -40*q**2 - 39*q**2 + i + 118*q**2 + 12*q - 43*q**2 = 0. Calculate q.
-1, 4
Let m be (-1 - 2*-1)/(4/(-20)). Let c(d) = 11*d**2 + 116*d + 605. Let h(t) = -10*t**2 - 115*t - 605. Let i(n) = m*c(n) - 6*h(n). Factor i(v).
5*(v + 11)**2
Factor -174*k**2 - k**4 + 177*k**2 - 2*k**3 - k**3 - 50 + 35*k - 4*k**3