0.
-1, 0
Let p(i) be the first derivative of 2*i**5/75 + 2*i**4/15 + 8*i**3/45 - 266. Let p(r) = 0. What is r?
-2, 0
Let m(r) be the second derivative of -r**6/45 - 11*r**5/30 - r**4/2 + 11*r**3/9 + 10*r**2/3 + 172*r. What is w in m(w) = 0?
-10, -1, 1
Let f(w) be the first derivative of w**4/6 - 2*w**3/3 - 15*w**2 + 350*w/3 + 225. Factor f(a).
2*(a - 5)**2*(a + 7)/3
Factor 78*u**2 - 2/3*u**4 - 118/3*u - 38*u**3 + 0.
-2*u*(u - 1)**2*(u + 59)/3
Let d(l) be the first derivative of l**5/12 + l**4/6 - l**3/2 - l**2/3 + 30*l - 44. Let b(h) be the first derivative of d(h). Solve b(c) = 0.
-2, -1/5, 1
Let s(n) be the second derivative of n**6/16 + 3*n**5/20 - 19*n**4/32 + 3*n**3/8 + 2*n + 49. Find z, given that s(z) = 0.
-3, 0, 2/5, 1
Let n be (20/9 - 2) + 208/117. Solve 2*a**2 - 3*a**2 + a**2 - 6 + 3*a**n + 9*a**3 - 9*a + 3*a**4 = 0.
-2, -1, 1
Let y(i) = -2*i - 3*i - i**2 + 2*i. Let k be y(-2). Factor -4*c**5 + 3*c**3 + 2*c**4 + k*c**4 - 5*c**3 + 2*c**5.
-2*c**3*(c - 1)**2
Let k(x) be the third derivative of 1/15*x**6 - 8/3*x**3 - 1/5*x**5 + 0 + 9*x**2 - 4/3*x**4 + 2/105*x**7 + 0*x. Factor k(m).
4*(m - 2)*(m + 1)**2*(m + 2)
Let w(u) = 2*u**2 + 5*u + 3. Let p be w(-3). Let g(a) be the first derivative of -21/4*a**4 + 0*a + p*a**2 + 4 - 3*a**5 + 8*a**3. Factor g(h).
-3*h*(h - 1)*(h + 2)*(5*h + 2)
Let d(n) = -12*n**2 + 36*n. Let v = -25 - -30. Let a(j) = 7*j + 2*j**2 - 2*j**2 - 4*j**2 + v*j. Let z(k) = 11*a(k) - 4*d(k). Suppose z(s) = 0. Calculate s.
0, 3
Let n(k) be the third derivative of 0*k - 1/4*k**3 - 1/12*k**4 - 1/120*k**5 + 0 + 19*k**2. Factor n(f).
-(f + 1)*(f + 3)/2
Let c(v) = 8*v**4 - 36*v**3 + 10*v**2 + 2. Let g(w) = -32*w**4 + 145*w**3 - 41*w**2 - 9. Let l(r) = 18*c(r) + 4*g(r). Factor l(i).
4*i**2*(i - 4)*(4*i - 1)
Let 117*k**2 - 32*k - 4 - 66*k**2 + 4 - 87*k**2 = 0. What is k?
-8/9, 0
Let g(s) be the first derivative of -2*s**6/3 + 5*s**4 - 8*s**2 - 157. Let g(k) = 0. What is k?
-2, -1, 0, 1, 2
Let o(t) be the second derivative of -1/3*t**4 + 4*t**2 + 0 + 5*t + 2/3*t**3. Factor o(f).
-4*(f - 2)*(f + 1)
Let k be 6/(-72)*(-54 + 28). Factor 1/6*i**4 + i**3 + 2*i + k*i**2 + 2/3.
(i + 1)**2*(i + 2)**2/6
Let k = 1 + 1. Let n(b) = b**2 + 17*b + 56. Let m be n(-4). Determine u so that -8/13*u**3 + 10/13*u**k + 2/13*u**m - 4/13*u + 0 = 0.
0, 1, 2
Let o be 2*(4 + -1)*1. Let v be o/9*(3 + 6/(-3)). Find m such that -v*m + 0*m**2 + 2/3*m**3 + 0 = 0.
-1, 0, 1
Solve 1/6*c**2 + 16/3*c + 128/3 = 0 for c.
-16
Suppose 242/17*h + 244/17 - 2/17*h**2 = 0. What is h?
-1, 122
Let n(q) be the third derivative of 7*q**6/120 - 9*q**5/4 + 19*q**4/12 - 502*q**2. Solve n(j) = 0.
0, 2/7, 19
Suppose -2*m**3 - 30/13*m - 2/13 - 54/13*m**2 = 0. What is m?
-1, -1/13
Let r(a) be the first derivative of a**6/3 - 4*a**5/5 - a**4/2 + 4*a**3/3 - 15. Factor r(z).
2*z**2*(z - 2)*(z - 1)*(z + 1)
Let i = 349/7 + -18713/378. Let q = i - 1/54. Factor 5/3*f + q*f**3 - 2/3 - 4/3*f**2.
(f - 2)*(f - 1)**2/3
Let d(l) be the first derivative of l**7/1960 - l**6/840 - l**5/140 - 8*l**3/3 - 20. Let u(j) be the third derivative of d(j). Factor u(a).
3*a*(a - 2)*(a + 1)/7
Let d(f) be the third derivative of 11/255*f**5 + 0 + 0*f - 14/51*f**3 + 1/340*f**6 + 9*f**2 + 5/204*f**4. Factor d(s).
2*(s + 1)*(s + 7)*(3*s - 2)/17
Let n(f) be the first derivative of -f**3/12 - 3*f**2 - 95*f/4 - 334. Factor n(h).
-(h + 5)*(h + 19)/4
Let k(o) = -o**2 + o + 1. Let q(w) = w + 9*w**2 + 1 - 15*w**2 + 2 + 2*w**2. Let h(m) = -3*k(m) + q(m). Determine f so that h(f) = 0.
-2, 0
Let y = -3619 - -3621. Solve -1/2*z**4 - 2*z + 2 - 3/2*z**y + 2*z**3 = 0 for z.
-1, 1, 2
Suppose -6*q + 24 - 6 = 0. Let w be (24/(-10))/((-10)/25) - q. Solve 2/3*t**4 - 2/3*t**2 + 0*t**w + 0 + 0*t = 0 for t.
-1, 0, 1
Suppose -2*z - 10 = -4*z. Let b(y) be the third derivative of 0*y**4 - 5*y**2 + 3/40*y**6 + 0*y + 0 - 1/10*y**z + 0*y**3 - 1/70*y**7. Solve b(g) = 0.
0, 1, 2
Let l(t) = -t**4 + 6*t**3 - 2*t**2 - 6*t - 7. Let q(f) = 3*f**3 - f**2 - 3*f - 3. Let n = 31 - 35. Let i(y) = n*l(y) + 10*q(y). Factor i(d).
2*(d - 1)*(d + 1)**2*(2*d + 1)
Let i(u) be the second derivative of u**6/6 - 2*u**5 + 10*u**4 - 80*u**3/3 + 40*u**2 + 116*u. Let i(j) = 0. What is j?
2
Let l = 2/419 - -389/6285. Let f(m) be the first derivative of l*m**6 - 2/25*m**5 + 1/5*m**2 - 1/5*m**4 + 4/15*m**3 - 2/5*m + 3. Solve f(i) = 0.
-1, 1
Let j(v) be the third derivative of v**6/12 + 8*v**5/5 - 5*v**4/3 + 179*v**2. Determine p so that j(p) = 0.
-10, 0, 2/5
Let x(i) = -2*i**2 + 5*i + 2*i + i**2 - 2*i. Let o(y) = -y - 1. Let l(n) = 6*o(n) + 3*x(n). Factor l(v).
-3*(v - 2)*(v - 1)
Solve 78/7*b**3 - 19/7*b**4 + 0 - 12*b**2 + 8/7*b = 0.
0, 2/19, 2
Factor -31*o + 100*o + 58*o**4 + 82*o + 260*o**2 + 5*o**5 + 190*o**3 - 3*o**4 - 31*o.
5*o*(o + 1)*(o + 2)**2*(o + 6)
Let c be (35/(-4))/((-1)/4*6). Let s = -4/3 + c. Find y such that s - 3*y + 1/2*y**2 = 0.
3
Let p(m) be the second derivative of 3*m**5/20 + 59*m**4/4 + 115*m**3/2 + 171*m**2/2 + 519*m. Factor p(g).
3*(g + 1)**2*(g + 57)
Let f(r) be the second derivative of 5/3*r**3 - 15*r - 5/4*r**4 - 1/2*r**5 + 0*r**2 + 0. Factor f(x).
-5*x*(x + 2)*(2*x - 1)
Let y(h) be the second derivative of -9*h**5/5 - 20*h**4 - 74*h**3/3 - 12*h**2 + 4*h - 9. Find m such that y(m) = 0.
-6, -1/3
Let p(n) be the second derivative of -n**6/90 + 11*n**5/60 - 11*n**4/12 + 37*n**3/18 - 7*n**2/3 + 138*n. Factor p(s).
-(s - 7)*(s - 2)*(s - 1)**2/3
Let y be (-30)/105 - (-86)/7. Let s be ((-8)/(-4))/(y/126). Let a**2 - 3*a - 34 - s*a + 82 + 2*a**2 = 0. Calculate a.
4
Let x = -6077 - -6079. What is w in -156/7*w**x + 16/7 + 20*w**4 + 16/7*w**3 - 16/7*w = 0?
-1, -2/5, 2/7, 1
Suppose 20000/7*a**2 - 2000/7*a**3 + 200000/7 - 2/7*a**5 - 100000/7*a + 100/7*a**4 = 0. What is a?
10
Suppose 54 = 14*x - 44. Let z = 2 - 0. Find w, given that 4*w**3 - 3*w**z + x - w**3 - 4 - 3*w = 0.
-1, 1
Let n = 14 - 10. Let b(u) be the second derivative of 1/10*u**6 + 0 - n*u + 0*u**5 + 3/2*u**2 + 0*u**3 - 1/2*u**4. Determine i so that b(i) = 0.
-1, 1
Let j(a) be the first derivative of 12/5*a**2 - 32 - 72/5*a - 2/15*a**3. Solve j(g) = 0.
6
Factor 2*r**3 - 31*r**2 + 18*r**2 + 16*r**2 + r**3 - 3*r**4 - 6*r + 3*r**3.
-3*r*(r - 2)*(r - 1)*(r + 1)
Suppose -1765*q = -1781*q. Let -1/6*y**4 - 1/6*y**5 + q + 0*y + 1/6*y**2 + 1/6*y**3 = 0. What is y?
-1, 0, 1
Let j(i) be the third derivative of -1/525*i**7 + 0*i + 5*i**2 - 1/75*i**6 + 16/15*i**3 + 4/15*i**4 + 0 + 0*i**5. Solve j(d) = 0.
-2, 2
Let l be 32/176 + ((-20)/(-11) - -2). Suppose -4*d - l*h + 8 = 0, -d - 4 = -4*h - 6. Solve -9/2*i**d + 3/2*i**3 - 3/2 + 9/2*i = 0 for i.
1
Let w be 2/(-10) + (-969)/(-1045). Let g be (-3)/(-12) - (1 - 114/88). Suppose w*j + 0*j**2 - g*j**3 + 0 + 2/11*j**4 = 0. What is j?
-1, 0, 2
Let w(x) be the first derivative of -2*x**5/25 + x**4/5 + 2*x**3/15 - 2*x**2/5 - 157. Let w(k) = 0. What is k?
-1, 0, 1, 2
Let w(g) = -3*g**2 + g + 1. Let b(j) = 2*j**2 + 10*j - 10. Let d(u) = -b(u) - 2*w(u). Let d(s) = 0. What is s?
1, 2
Suppose -4*p = d + 3*d, 4*d + 5*p = 0. Let v(l) be the first derivative of 0*l**2 - 6 - 1/4*l**4 + d*l + 2/3*l**3 - 1/5*l**5. Let v(o) = 0. What is o?
-2, 0, 1
Let f(x) = 2*x**2 + 2*x - 9. Let d be f(2). Factor -6*s**2 + 0*s**2 - 5*s + 3*s**d - 4*s.
3*s*(s - 3)*(s + 1)
Let v(c) be the third derivative of -c**5/180 + 11*c**4/24 + 35*c**3/9 + 2*c**2 + 4. Factor v(o).
-(o - 35)*(o + 2)/3
Let b be -3 + ((-24)/(-18))/(2/111). Determine k, given that 4*k**4 + 17*k + 170*k**3 + b*k**4 + 20*k**2 - 57*k = 0.
-2, -2/3, 0, 2/5
Let s(f) = -11*f**3 - 15*f**2 - 58*f - 54. Let y(w) = 13*w**3 + 15*w**2 + 57*w + 55. Let v(q) = -6*s(q) - 5*y(q). Factor v(l).
(l + 1)*(l + 7)**2
Let p(x) be the first derivative of 1 - 3/2*x**2 - 1/12*x**4 + 2/3*x**3 + 4/3*x. Determine o, given that p(o) = 0.
1, 4
Determine g, given that 3/4*g**5 - 3/2*g**3 + 9*g**2 - 9/2 - 9/2*g**4 + 3/4*g = 0.
-1, 1, 6
Let j be ((-6)/(-45))/((-12)/(-15) + (-12)/20). Factor 0 - j*l**3 + 0*l**2 + 2/3*l.
-2*l*(l - 1)*(l + 1)/3
Suppose 0 - 42/11*k**2 - 2*k + 2/11*k**4 - 18/11*k**3 = 0. Calculate k.
-1, 0, 11
Let i = -193 + 968/5. Let r(c) be the second derivative of 0 + 2*c - 4/15*c**3 - 1/30*c**4 - i*c**2. Factor r(g).
-2*(g + 1)*(g + 3)/5
Let d = 110 + -102. Factor -2*p**3 + 22*p + 42*p**2 + 7*p**3 + d*p - 7*p**2.
5*p*(p + 1)*(p + 6)
Factor 39