5*x.
5*(x + 1)*(x + 2)
Suppose 9*g = 4*g - 55. Let c = g + 14. Suppose -4/3*r + 2/3 + 5/6*r**2 - 1/6*r**c = 0. What is r?
1, 2
Let u(p) = -p**3 - 18*p**2 - 17*p + 3. Let l be u(-17). Let -6*i - 14*i + l*i**2 + 55 - 10*i + 20 = 0. Calculate i.
5
Let o(z) be the first derivative of 8/7*z**2 - 10/21*z**3 - 11 - 8/7*z + 1/14*z**4. Determine v, given that o(v) = 0.
1, 2
Solve -4/7 - 12/7*m**2 + 4/7*m**3 + 12/7*m = 0.
1
Suppose 0 = 359*n - 361*n + 60. Let g be ((-18)/(-90))/(8/n). What is l in 0 - g*l**2 - 3/2*l = 0?
-2, 0
Let p(f) be the first derivative of f**7/1260 + f**6/90 + f**5/20 - 2*f**3/3 - 6. Let y(z) be the third derivative of p(z). Factor y(u).
2*u*(u + 3)**2/3
Let y(o) be the third derivative of 5*o**8/448 - o**7/40 - 11*o**6/160 + 7*o**5/80 + 3*o**4/16 + 82*o**2. What is c in y(c) = 0?
-1, -3/5, 0, 1, 2
Suppose 90*c - 89*c + 3*n - 15 = 0, -5 = -5*n. Determine l, given that c*l + 48 + 3/4*l**2 = 0.
-8
Let z(v) be the third derivative of 0*v**4 + 6*v**2 - 1/60*v**5 - v**3 + 0*v + 0. Let y(r) = r**2 + 1. Let s(d) = 2*y(d) + z(d). Let s(j) = 0. Calculate j.
-2, 2
Let c be (-44)/(-6) - (-2)/(-6). Suppose -5*k + c = -3. Factor -8/5 + 12/5*n + 1/5*n**3 - 6/5*n**k.
(n - 2)**3/5
Let q(x) be the second derivative of 7*x**5/4 - 5*x**4/6 - 2*x + 14. Determine a, given that q(a) = 0.
0, 2/7
Let i(a) be the first derivative of -1/5*a**4 + 2/15*a**3 - 1/25*a**5 + 1/15*a**6 - 1 + 1/5*a**2 - 1/5*a. Let i(g) = 0. What is g?
-1, 1/2, 1
Suppose -152*x = -142*x. Let 4/9*u**2 + 0*u - 2/9*u**3 + x = 0. What is u?
0, 2
Let a be (12/(-7))/((-1)/14). Factor -24*k + 33 - 21 + a + 4*k**2.
4*(k - 3)**2
Let k(g) = -g**3 + 5*g**2 - 5*g + 4. Let o be k(4). Let h be ((-55)/3)/11*6/(-20). Suppose h*q**4 + 0 - 1/2*q**3 + 0*q**2 + o*q = 0. What is q?
0, 1
Let g = -70 - -162. Factor 90 + b - 6*b**2 + 9*b**2 - g.
(b + 1)*(3*b - 2)
Solve 4/7*s**5 + 864/7*s**3 - 2816/7*s**2 - 100/7*s**4 + 0 + 2048/7*s = 0.
0, 1, 8
Let n(k) be the second derivative of k**8/560 - 2*k**7/525 + k**6/600 - k**2/2 + 13*k. Let p(v) be the first derivative of n(v). Suppose p(c) = 0. Calculate c.
0, 1/3, 1
Suppose m = -0*m. Let l(c) = -c**3 - 19*c**2 + 41*c - 17. Let y be l(-21). Let 0*r + 10/9*r**3 + m + 0*r**2 + 2/9*r**5 + 4/3*r**y = 0. What is r?
-5, -1, 0
Let y(a) = 3*a - 39. Let d be y(14). Let r(z) = z**2 + 1. Let x(m) = -2*m**2 + 75*m + 83. Let j(o) = d*r(o) - x(o). Factor j(u).
5*(u - 16)*(u + 1)
Let b(j) = j**2 - 3*j + 5. Let z be b(8). Suppose 3*p - z - 36 = 0. Let -37*m + 27*m**4 + 16*m**5 + 31*m - p*m**2 - 15*m**3 + 5*m**5 = 0. What is m?
-1, -2/7, 0, 1
Let a be 1/2*-6*((-28)/6 + 3). Solve 0*p - 2/5*p**4 - 2/15*p**a + 2/15*p**3 + 14/15*p**2 - 8/15 = 0.
-2, -1, 1
Let s(o) = -3*o**3 + 36*o**2 + 112*o + 160. Let k(p) = -2*p**3 + 19*p**2 + 56*p + 80. Let g(r) = 5*k(r) - 3*s(r). Factor g(z).
-(z + 4)**2*(z + 5)
Factor -8*g - 2/9*g**3 - 8/3*g**2 + 0.
-2*g*(g + 6)**2/9
Let q be (4 + (-146)/(-6))*(4 + -1). What is v in -90*v**3 + 5*v + 6*v**2 - 5*v**4 - v**2 + q*v**3 = 0?
-1, 0, 1
Let l(y) be the third derivative of y**8/840 - 4*y**7/525 - y**6/300 + 8*y**5/75 - y**4/5 + 25*y**2 + 2. What is t in l(t) = 0?
-2, 0, 1, 2, 3
Let b(o) be the third derivative of -o**5/570 - o**4/228 + 20*o**3/57 + 167*o**2. Factor b(j).
-2*(j - 4)*(j + 5)/19
Let m(p) = p**3 - p**2 + 1. Let k(v) = 4*v**4 - 377*v**3 + 8053*v**2 + 36848*v + 38415. Let x(y) = k(y) + m(y). Solve x(w) = 0 for w.
-2, 49
Let u(x) = -35*x**2 - 4039*x - 1150. Let i(r) = -420*r**2 - 48470*r - 13800. Let l(o) = -2*i(o) + 25*u(o). Suppose l(k) = 0. What is k?
-115, -2/7
Let i(q) be the second derivative of -q**6/660 - q**5/110 + q**4/33 - 15*q**2/2 - 3*q. Let d(s) be the first derivative of i(s). What is g in d(g) = 0?
-4, 0, 1
Let t be (-156)/(-273) + -6 + (-519)/(-84). Suppose 0 + 3/4*h**3 - t*h**2 + 0*h = 0. Calculate h.
0, 1
Factor 0 + 0*n + 85/4*n**2 + 165/4*n**3 - 5/4*n**5 + 75/4*n**4.
-5*n**2*(n - 17)*(n + 1)**2/4
Let o(p) be the first derivative of 1/2*p**6 - 3*p + 3/2*p**2 - 3/5*p**5 + 2*p**3 - 3/2*p**4 - 6. Factor o(h).
3*(h - 1)**3*(h + 1)**2
Let h be 0 - (-1 + -2) - 0. Let w(v) = -v**4 - 3*v**3 + 4*v**2 - v + 7. Let a(b) = -b**2 - 1. Let z(o) = h*w(o) + 21*a(o). Determine c so that z(c) = 0.
-1, 0
Suppose -2*v - 2 - 6 = 0, -5*v = 3*q + 8. Let z be q/(-6) - 99/(-27). Factor 4/3 - 2/3*g**z - 4/3*g**2 + 2/3*g.
-2*(g - 1)*(g + 1)*(g + 2)/3
Let n(h) be the third derivative of -h**5/570 - 7*h**4/228 - 10*h**3/57 - 58*h**2 + 2*h. Factor n(t).
-2*(t + 2)*(t + 5)/19
Let v(w) be the first derivative of -w**4/18 + w**3/3 - 2*w**2/3 + 7*w + 15. Let h(k) be the first derivative of v(k). Suppose h(a) = 0. Calculate a.
1, 2
Let o = 439 + -436. Let k(x) be the third derivative of 0*x + 1/156*x**4 + 3*x**2 + 0*x**o + 0*x**5 - 1/780*x**6 + 0. Suppose k(l) = 0. What is l?
-1, 0, 1
Let i(k) be the second derivative of -5*k**4/12 - 815*k**3/3 - 132845*k**2/2 - k - 343. Let i(p) = 0. What is p?
-163
Suppose -13 = -4*u - p, 2*u - 2*p - 14 = -0*p. Let b(x) be the second derivative of -x**3 + 5/6*x**u - 3*x - 2*x**2 + 0. Factor b(d).
2*(d - 1)*(5*d + 2)
Let d(u) = 6*u**4 - 8*u**3 + 104*u**2 - 216*u + 160. Let i(q) = -q**4 - q**2 - q. Let b(f) = -d(f) - 8*i(f). Find h, given that b(h) = 0.
-10, 2
Let 1383*k**3 - 2520*k**4 + 48 + 1486*k**2 - 337*k + 1113*k**2 - 784*k**5 - 371*k + 109*k**5 - 127*k**2 = 0. What is k?
-4, -1, 2/15, 1
Suppose -25*s + 11*s**2 - 27 - 4*s**2 - 5*s**2 = 0. Calculate s.
-1, 27/2
Let p(d) be the second derivative of 3/20*d**5 + d**4 + 0 + 18*d + 3/2*d**3 + 0*d**2. Factor p(t).
3*t*(t + 1)*(t + 3)
Let x(i) = i**3 + i**2 - 13*i - 6. Let p be x(-4). Let s be 4/8*-4*5/p. Find v, given that -8/7*v**2 + 0 + 0*v - 4/7*v**s + 8/7*v**4 + 4/7*v**3 = 0.
-1, 0, 1, 2
Suppose -1/12*h**4 + 0*h - 1/12*h**5 + 0 - 1/4*h**2 + 5/12*h**3 = 0. What is h?
-3, 0, 1
Let h(g) be the first derivative of 14/75*g**5 + 0*g**2 + 7 + 4/45*g**3 + 3/10*g**4 + 0*g. Solve h(d) = 0 for d.
-1, -2/7, 0
Factor -2/5*v**3 + 0*v**2 + 0*v + 0 + 0*v**4 + 2/5*v**5.
2*v**3*(v - 1)*(v + 1)/5
Find u such that -422 - 80*u + 665 + 557 + 2*u**2 = 0.
20
Suppose 4*j - 24 = 4*w, 4*j + 5*w - 32 = -44. Let n(f) be the first derivative of 1/4*f**4 + j*f + 5 + 4/3*f**3 + 5/2*f**2. Find m such that n(m) = 0.
-2, -1
Suppose -1/2*l**4 + 1/2*l**2 + 0 + 1/4*l**3 - 1/4*l**5 + 0*l = 0. What is l?
-2, -1, 0, 1
Let q(v) be the second derivative of -v**5/60 - v**4/12 - 5*v**2 - 9*v. Let w(j) be the first derivative of q(j). What is z in w(z) = 0?
-2, 0
Factor -68*k + 32 + 287*k**3 - 40*k**4 + 258*k**3 + 8*k**2 + 4*k**5 - 481*k**3.
4*(k - 8)*(k - 1)**3*(k + 1)
Factor 2/3 + 1/3*u - u**2 + 1/3*u**4 - 1/3*u**3.
(u - 2)*(u - 1)*(u + 1)**2/3
Let i(s) = 6*s**4 - 201*s**3 + 2673*s**2 - 4033*s - 6913. Let u(g) = 2*g**4 - g**3 - 3*g**2 - g - 1. Let t(m) = i(m) - u(m). Factor t(f).
4*(f - 24)**2*(f - 3)*(f + 1)
Let s(q) be the third derivative of 5*q**8/1008 + q**7/63 - q**6/24 - q**5/9 + 5*q**4/18 + 3*q**2 + 24*q. Factor s(i).
5*i*(i - 1)**2*(i + 2)**2/3
Let f(h) be the first derivative of -1/12*h**6 + 0*h + 23 + 0*h**2 + 1/10*h**5 + 0*h**4 + 0*h**3. Solve f(a) = 0.
0, 1
Let b be 1*(23 - 25 - -17). What is q in 3/2*q**5 + 3*q**4 - b*q**3 + 99/2*q - 12*q**2 - 27 = 0?
-3, 1, 2
Let b(m) = -m**3 + 10*m**2 - 21*m + 8. Let d be b(9). Let p be (-5)/(((-2)/10)/((-8)/d)). Solve 0 + 2/11*a**3 + 2/11*a**p + 0*a = 0.
-1, 0
Let r(x) be the second derivative of -3/4*x**2 - 1/20*x**6 + 3/10*x**5 + 0 - 12*x + x**3 - 3/4*x**4. Find g such that r(g) = 0.
1
Let g(u) be the second derivative of -1/15*u**5 + 0 + 0*u**2 - 26*u + 0*u**4 + 1/63*u**7 + 0*u**6 + 1/9*u**3. Find c, given that g(c) = 0.
-1, 0, 1
Factor 1/2*h**3 - 3*h + 3/4*h**4 - 1 - 9/4*h**2.
(h - 2)*(h + 1)**2*(3*h + 2)/4
Let w(v) = v**4 - 9*v**3 + 16*v**2 - 15*v + 1. Let r(f) = 2*f**4 - 17*f**3 + 31*f**2 - 29*f + 3. Let s(b) = 3*r(b) - 5*w(b). Factor s(y).
(y - 2)**2*(y - 1)**2
Let s = 5 - 3. Factor -14*y**3 - 10*y**3 + 36*y**s + 5*y**4 - y**4.
4*y**2*(y - 3)**2
Let u(q) = -2*q**2 - 4*q + 6. Let k = 17 - 27. Let v = k - -11. Let t(j) = -j + 1. Let m(y) = v*u(y) - 6*t(y). Factor m(p).
-2*p*(p - 1)
Let r(m) be the second derivative of -23*m**4/30 + 71*m**3/15 - 6*m**2/5 - 4*m + 21. Determine q, given that r(q) = 0.
2/23, 3
Let j(q) = q**2 - 4*q + 13. Let x(b) be the secon