= 0. What is h?
-5, 0, 2
Determine j so that 48*j - 105*j**3 + 54*j + 10*j**2 + 3*j - 10 = 0.
-1, 2/21, 1
Let y be 6 - 4 - (3 + -3). Find m such that 28*m - 3*m**y + 14*m - 33*m = 0.
0, 3
Factor -6/7*f**3 - 4*f**2 + 12/7 - 26/7*f.
-2*(f + 2)*(f + 3)*(3*f - 1)/7
Suppose u = w - 2, w + 3*u = -u + 7. Let z(x) = x - 3. Let t be z(w). What is p in -2*p**2 + 4 + 2*p + t*p + 0 = 0?
-1, 2
Let l(i) = 4*i**2 - 248*i + 268. Let p(s) = -s**2 - 2. Let f(j) = -l(j) - 8*p(j). Factor f(r).
4*(r - 1)*(r + 63)
Let v(p) be the third derivative of 1/120*p**5 + 1/48*p**4 + 0*p + 0*p**3 - 7*p**2 + 0. Factor v(x).
x*(x + 1)/2
Factor -6*s**2 - 64/11*s - 2/11*s**3 + 0.
-2*s*(s + 1)*(s + 32)/11
Let k(w) be the first derivative of w**3/3 - 64*w - 834. Find u such that k(u) = 0.
-8, 8
Let y(b) be the second derivative of b**7/945 - b**5/270 - 9*b**2 + 8*b. Let x(n) be the first derivative of y(n). Find v, given that x(v) = 0.
-1, 0, 1
Let m(l) be the second derivative of l**4/4 - l**3/2 - 18*l**2 - 3*l - 13. Factor m(s).
3*(s - 4)*(s + 3)
Let p(v) be the third derivative of 0*v + 5/12*v**5 - 3 + v**2 + 55/24*v**4 + 5*v**3. Solve p(t) = 0 for t.
-6/5, -1
Find u, given that 3 + 5 + 73910*u**2 - 73912*u**2 = 0.
-2, 2
Factor -8/5 - 16/5*y + 6/5*y**3 - 2/5*y**2.
2*(y - 2)*(y + 1)*(3*y + 2)/5
Solve 3113*y**2 - 484*y - 1512*y**2 + 2010*y**2 + 1173*y**2 + 4 + 9857*y**2 = 0 for y.
2/121
Find o such that -7*o**5 - 6144*o + 6128*o + 20*o**3 + 3*o**5 = 0.
-2, -1, 0, 1, 2
Let h be (24/(-10))/((-1)/(-5)). Let m be (1/h)/((-4)/12). Determine s so that -1/2 - m*s + 1/4*s**2 = 0.
-1, 2
Suppose 19*a - 62*a = -29*a. Let c(z) be the first derivative of a*z - 2*z**3 + 3/2*z**2 - 3 + 3/4*z**4. Determine x so that c(x) = 0.
0, 1
Let q be (20 - (-498)/(-25) - 52/25) + 7. Suppose -45*a**3 + 95/4*a**4 - 20*a - q*a**5 + 85/2*a**2 + 15/4 = 0. Calculate a.
3/4, 1
Let g(u) be the first derivative of -u**6/72 - 17*u**5/120 - u**4/4 + u**3/3 - 11. Let t(z) be the third derivative of g(z). Factor t(v).
-(v + 3)*(5*v + 2)
Let h(d) be the second derivative of -d**5/30 + 5*d**4/18 + 8*d**3/9 - 16*d**2 + 2*d - 15. Suppose h(l) = 0. What is l?
-3, 4
Let o(i) = 5*i**3 - 3*i**2 + 5*i - 10. Let k be o(3). Let s = k - 113. Let 2/7*m + s - 2/7*m**2 + 2/7*m**4 - 2/7*m**3 = 0. Calculate m.
-1, 0, 1
Let a(g) = -8*g**2 + 11*g - 3. Let l = 24 - 46. Let d = l + 24. Let y(r) = -r**2 + r. Let q(z) = d*y(z) - a(z). Solve q(b) = 0 for b.
1/2, 1
Let m = -5792 + 17384/3. Suppose 2/3*r**2 + m*r + 8/3 = 0. What is r?
-2
Let c(g) = 9*g**3 + 5*g + 10. Let n(y) = 20*y**3 + y**2 + 11*y + 21. Let j(t) = 9*c(t) - 4*n(t). Factor j(p).
(p - 3)*(p - 2)*(p + 1)
Factor 18/5*k + 3/5*k**2 + 24/5.
3*(k + 2)*(k + 4)/5
Let d(g) be the second derivative of g**6/30 + g**5/2 + 17*g**4/12 + 4*g**3/3 + 56*g - 1. Factor d(f).
f*(f + 1)**2*(f + 8)
Suppose -196*h - 4*q = -200*h + 24, 2*h + 4*q = -12. Factor 1/5*s + 1/5 - 1/5*s**h - 1/5*s**3.
-(s - 1)*(s + 1)**2/5
Let v(k) = 1333*k - 2662. Let h be v(2). Factor g + 2/7 + 5/7*g**3 + 9/7*g**2 + 1/7*g**h.
(g + 1)**3*(g + 2)/7
Let s(o) = 2*o**4 - 44*o**3 - 2*o**2 + 37*o - 14. Let r(z) = -z**4 + 22*z**3 + z**2 - 18*z + 8. Let w(n) = -7*r(n) - 4*s(n). Factor w(c).
-c*(c - 22)*(c - 1)*(c + 1)
Let r(v) be the first derivative of -v**4 - 14*v**3/3 + 2*v**2 + 14*v + 40. Factor r(n).
-2*(n - 1)*(n + 1)*(2*n + 7)
Let -10/3*j + 0 + 11/3*j**3 + j**2 - j**4 - 1/3*j**5 = 0. What is j?
-5, -1, 0, 1, 2
Let z(a) be the third derivative of a**8/30240 + a**7/2835 + a**6/810 + a**4/8 + 9*a**2. Let l(q) be the second derivative of z(q). Solve l(p) = 0.
-2, 0
Let i be ((-1)/(-3))/((-6)/3 + 3). Factor i - 1/6*a + 1/6*a**3 + 1/6*a**4 - 1/2*a**2.
(a - 1)**2*(a + 1)*(a + 2)/6
Determine u so that -14/13*u**2 + 8/13*u**3 + 4/13*u + 2/13 = 0.
-1/4, 1
Suppose -2*x + 3*x - 80 = -k, -5*x + 2*k + 372 = 0. Suppose m**4 - 4*m**2 - 72*m**3 + x*m**3 - 4*m + 3*m**4 = 0. Calculate m.
-1, 0, 1
Let h be 1053/52 - (2 - 0)/8. Let z be (-8)/h + 5/(225/48). Solve z*r**2 - 4/3*r + 2/3 = 0.
1
Let t = -111 - 44. Let n = -1083/7 - t. Suppose -2/7*b**5 + 4/7*b**3 - 4/7*b**2 + n + 2/7*b**4 - 2/7*b = 0. Calculate b.
-1, 1
Let 33*h - 22*h**2 + 25*h**2 + 237*h + 6075 = 0. Calculate h.
-45
Let y = 29/2 + -14. Let n = 22153 + -22153. Factor -1/2*h**3 + 1/2*h**2 - y*h**4 + 1/2*h + n.
-h*(h - 1)*(h + 1)**2/2
Let i(t) = -4*t**4 - 27*t**3 - 34*t**2 + 33*t + 8. Let w(q) = 11*q**4 + 81*q**3 + 99*q**2 - 98*q - 25. Let h(j) = 17*i(j) + 6*w(j). Solve h(y) = 0 for y.
-1, -1/2, 1, 14
Let t(b) be the third derivative of -b**6/40 + 13*b**5/20 - 23*b**4/8 + 11*b**3/2 + 3*b**2 - 18*b. Let t(d) = 0. What is d?
1, 11
Let w be (-2)/15 - (-4994)/330. Determine b so that -6*b**4 + 2*b**5 - 9*b**4 + 5*b**3 + w*b**2 - 4 + 0 - 11*b**5 = 0.
-1, 2/3
Let f be 19 - (-7)/(21/(-6)). Determine v so that -4*v**4 + 23*v**3 - 5*v + 3*v**5 - 6*v**2 + 19*v**3 - f*v**4 - 40*v + 27 = 0.
-1, 1, 3
Let g be (1 - 0)/((-1)/(-3)). Factor 4*b**2 + 6*b + 11*b**2 - 2*b**g + 3*b**4 + 14*b**3.
3*b*(b + 1)**2*(b + 2)
Let f = 221 - 71. Let a = f + -148. Find m such that 1/4*m**a - 3/4*m**4 + 0*m + 0 - 1/2*m**3 = 0.
-1, 0, 1/3
Let r = 11/45 + 113/90. What is v in -r*v**2 + 0 + 0*v = 0?
0
Let s(c) be the first derivative of -1/15*c**6 + 22/25*c**5 + 54/5*c - 4 - 23/5*c**4 - 81/5*c**2 + 12*c**3. Factor s(i).
-2*(i - 3)**3*(i - 1)**2/5
Let s(j) = -17*j**2 + 20*j - 42. Let v(m) = 15*m**2 - 21*m + 42. Let o(d) = -6*s(d) - 7*v(d). Find t, given that o(t) = 0.
2, 7
Let j(f) be the third derivative of 0*f - 1/20*f**5 + 1/2*f**3 - 1/8*f**4 + 16*f**2 + 1/40*f**6 + 0. Factor j(p).
3*(p - 1)**2*(p + 1)
Let m be 2/(-8) + 2/(104/273). Let o(s) be the third derivative of -8*s**2 + 1/120*s**6 - 1/630*s**7 - 1/90*s**m + 0*s + 0*s**3 + 0*s**4 + 0. Factor o(h).
-h**2*(h - 2)*(h - 1)/3
Find a such that -a + 5*a**4 - 3*a**4 - 2*a**2 + 5307 + a**5 - 5307 = 0.
-1, 0, 1
Let p(y) = -y**2 + 12*y + 18. Let h(w) = -9*w + 0*w - 9 + 7*w - 4*w. Let b(r) = -5*h(r) - 3*p(r). Suppose b(z) = 0. What is z?
-1, 3
Find s such that -3/2*s**3 - 162*s - 45*s**2 + 2916 = 0.
-18, 6
Let f(b) be the first derivative of b**6/33 + 4*b**5/55 - 4*b**4/11 - 32*b**3/33 + 16*b**2/11 + 64*b/11 + 82. Suppose f(q) = 0. What is q?
-2, 2
Let o = -13/4 + 27/4. Suppose 4*m = 5*m - 4. Factor 0 - o*g**3 - 3/2*g**5 + 0*g + m*g**4 + g**2.
-g**2*(g - 1)**2*(3*g - 2)/2
Let u be (-3 + (-72)/(-22))/(16/88). Determine l, given that 0 + u*l**2 + 0*l - 9/4*l**3 = 0.
0, 2/3
Let g(y) = -y. Let l be g(6). Let n(p) = -p**3 - 7*p**2 - 6*p + 4. Let j be n(l). Solve -j*w + 2*w - 3*w**4 - 15*w**2 + 3*w - 7*w - 12*w**3 = 0 for w.
-2, -1, 0
Let w(u) be the third derivative of u**6/840 - u**5/140 + u**4/56 - 10*u**3/3 + 8*u**2. Let y(f) be the first derivative of w(f). Solve y(r) = 0.
1
Let y(u) be the second derivative of u**9/3780 + u**8/1680 - u**7/630 - u**6/180 - 13*u**4/12 + 13*u. Let w(i) be the third derivative of y(i). Factor w(m).
4*m*(m - 1)*(m + 1)**2
Let c(m) be the first derivative of -m**7/168 + m**5/40 - m**3/24 - 17*m - 12. Let h(y) be the first derivative of c(y). Find d, given that h(d) = 0.
-1, 0, 1
Let b(h) = -h**3 + 17*h**2 + 64*h - 80. Let d be b(20). Let v(u) be the second derivative of 0 + d*u**2 - 1/16*u**4 - 1/8*u**3 - 8*u. Factor v(y).
-3*y*(y + 1)/4
Let h be 4*-1 - (-12)/(-4) - -12. Let w(c) be the first derivative of -2/25*c**h + 2/15*c**3 - 1/10*c**4 + 1/5*c**2 + 0*c + 4. What is f in w(f) = 0?
-1, 0, 1
Factor -2/5*a**4 - 8192/5 + 4096/5*a - 768/5*a**2 + 64/5*a**3.
-2*(a - 8)**4/5
Let l(a) = -a**2 + 3*a. Let z be (0 - (-6)/2) + (-14 - -16). Let k(r) = -r - 1. Let s(g) = z*k(g) + 5*l(g). Determine y, given that s(y) = 0.
1
Find q, given that 9*q**3 + q**3 - 2*q**2 - q**4 + 5*q - q**2 - 17*q**3 + 2*q**3 + 4 = 0.
-4, -1, 1
Determine m so that 208/5 - 204/5*m - 4/5*m**2 = 0.
-52, 1
Let q(w) = -5*w + 4. Let k be q(-7). Suppose 0 = -a - 2*a + k. Factor 3*s**2 - 2*s + 22*s**3 - 4*s**2 + 5*s**5 + 13*s**4 - a*s**3.
s*(s + 1)**3*(5*s - 2)
Suppose -2*t - 6 = 0, -a + 2 = -t + 3. Let c(i) = i**3 - i**2 - i - 1. Let z(k) = 4*k**2 + 4*k + 4. Let d(q) = a*c(q) - z(q). Factor d(p).
-4*p**3
Let y(h) be the first derivative of h**4/24 + 35*h**3/9 - h**2/12 - 35*h/3 + 304. Determine b so that y(b) = 0.
-70, -1, 1
Let j be (128/(-247))/(-2) - (-92)/(-874). Let h be 2 + -6 