ive of c(h). Determine n so that g(n) = 0.
-1, 0
Solve 776/5*q**2 + 1016/5*q**3 - 204*q - 180 + 4/5*q**5 + 124/5*q**4 = 0.
-15, -1, 1
Let w be (((-6)/(-15)*5)/4)/((-28)/(-48)). Find n, given that 4/7 - w*n + 2/7*n**3 + 0*n**2 = 0.
-2, 1
Solve -130/7 - 2/7*m + 2/7*m**3 + 130/7*m**2 = 0 for m.
-65, -1, 1
Suppose 50/13*a**4 - 50/13*a**2 + 4/13*a**3 + 8/13*a**5 - 12/13*a + 0 = 0. What is a?
-6, -1, -1/4, 0, 1
Suppose -m + 16*m - 165 = 0. Suppose 13 = o + m. Find a, given that -2/13*a**o - 4/13 - 6/13*a = 0.
-2, -1
Let j(u) be the first derivative of u**4/22 + 8*u**3/33 - 3*u**2/11 - 36*u/11 - 105. What is n in j(n) = 0?
-3, 2
Let p(o) be the first derivative of -o**6/30 + 2*o**5 - 50*o**4 + 2000*o**3/3 - 29*o**2/2 + 17. Let k(f) be the second derivative of p(f). Solve k(r) = 0 for r.
10
Let g(x) be the first derivative of 39/5*x**2 + 507/5*x + 1/5*x**3 - 23. Let g(m) = 0. Calculate m.
-13
Let n(j) be the second derivative of 0 - 5/2*j**3 - 5/24*j**4 - 45/4*j**2 - 21*j. Factor n(h).
-5*(h + 3)**2/2
Factor -26/9*j + 2/9*j**2 - 20/3.
2*(j - 15)*(j + 2)/9
Suppose -3*o**3 + 5*o + 163 - 163 + 14*o**2 = 0. Calculate o.
-1/3, 0, 5
Let c(g) = -7*g**2 - 22*g - 20. Let h(p) = -p**2 + 9*p - 20. Let u be h(6). Let w(z) = -22*z**2 - 67*z - 60. Let f(d) = u*w(d) + 7*c(d). Factor f(m).
-5*(m + 2)**2
Suppose 0 = -9*o + 10*o. Suppose o = 2*l - 5*f, 8 + 15 = 3*l + 4*f. Suppose -2/9*q - 2*q**l + 4/9*q**3 + 0 - 8/3*q**4 + 8/9*q**2 = 0. Calculate q.
-1, 0, 1/3
Let k(v) = -5*v**2 - v + 22. Let j(t) = -12*t**2 - 3*t + 45. Let o(h) = -2*j(h) + 5*k(h). Let o(y) = 0. What is y?
-4, 5
Suppose -5*k - 117 + 117 = 0. Factor 0 + k*q**2 + 4/15*q**4 + 0*q**3 + 0*q + 2/15*q**5.
2*q**4*(q + 2)/15
Let a(h) = -4*h**2 - 19*h - 8. Let k be a(-4). Let b(w) be the first derivative of 1/4*w**k - 1/3*w**3 - 1/2*w**2 + w - 4. Find s, given that b(s) = 0.
-1, 1
Let w = 37 - 38. Let h be 21*w/(-12)*4. Find p such that 4*p + 2*p**3 - 6*p**2 + 7 - h = 0.
0, 1, 2
Let g(y) = -2*y**4 - 28*y**3 + 5*y**2 - 5*y. Let i(d) = d**4 + 14*d**3 - 3*d**2 + 3*d. Let m(p) = -3*g(p) - 5*i(p). Factor m(o).
o**3*(o + 14)
Let k be ((-2)/(-4))/((-6)/(-4)). Let v(x) = 2*x**2 - 56*x + 57. Let n be v(27). Factor 5/3*j**2 - 1/3*j**4 + k*j**n + 0 + j.
-j*(j - 3)*(j + 1)**2/3
Let j be ((-26)/(-10) - 2)*325/65. Factor -4/9*g**4 + 0*g + 0*g**j + 0 - 4/9*g**5 + 0*g**2.
-4*g**4*(g + 1)/9
Let p(o) be the third derivative of -5/42*o**4 + 0*o + 11*o**2 - 1/70*o**5 + 0 - 1/7*o**3. Find u, given that p(u) = 0.
-3, -1/3
Let p be 6 + (-3)/300*(-1195)/(-2). Let a(m) be the second derivative of p*m**5 + 1/8*m**2 + 0*m**4 - 1/12*m**3 - 1/120*m**6 - m + 0. Factor a(k).
-(k - 1)**3*(k + 1)/4
Let w be (1/(60/(-32)))/(52/(-455)*7). Factor -128/3 - 32/3*f - w*f**2.
-2*(f + 8)**2/3
Let o(x) be the first derivative of -x**6/24 + x**5/2 - 15*x**4/8 + 10*x**3/3 + 17*x**2/2 + 43. Let h(z) be the second derivative of o(z). Factor h(d).
-5*(d - 4)*(d - 1)**2
Let g(l) be the second derivative of -l**4/10 - 191*l**3/10 + 144*l**2/5 + 207*l. Factor g(q).
-3*(q + 96)*(2*q - 1)/5
Let s(l) = -l**3 + 17*l**2 - 15*l - 16. Let k be s(16). Factor -12*i**3 - 8*i**2 + k*i**4 - 4*i**4 + 0*i**4 + 0*i**3.
-4*i**2*(i + 1)*(i + 2)
Suppose 2*p - 3*p + 13 = -d, -4*p = d - 62. Solve 0*s**3 + 5*s**3 - 1 + 17 - 6 - p*s = 0.
-2, 1
Let s = 9648 - 86828/9. Factor -2/9*m**2 - s - 2/3*m.
-2*(m + 1)*(m + 2)/9
Suppose -5*n = -g - 388, -3*g + 35 = n - 49. Let f be n/15 + 1 + -5. What is p in 4/5 - f*p + 2/5*p**2 = 0?
1, 2
Suppose 2207*q - 292 = 2134*q. Suppose -10/11*c**3 - 2/11*c**q + 0 + 0*c - 12/11*c**2 = 0. What is c?
-3, -2, 0
Let q(u) be the third derivative of u**7/840 + u**6/48 + u**5/10 - u**4/24 + u**2. Let d(l) be the second derivative of q(l). Solve d(s) = 0 for s.
-4, -1
Let b(w) be the first derivative of w**4/8 + 8*w**3/3 - 35*w**2/4 + 9*w + 98. Suppose b(l) = 0. What is l?
-18, 1
Suppose 38/9*y**3 - 8/9 - 50/9*y**2 + 32/9*y + 2/9*y**5 - 14/9*y**4 = 0. What is y?
1, 2
Let a = 110023478/326583 + -93020/277. Let s = 4/131 + a. Factor 2/3*i**3 + 14/9*i**2 + 2/9 + s*i.
2*(i + 1)**2*(3*i + 1)/9
Let h(c) be the second derivative of 1/2*c**4 + 0 - 9/10*c**5 - 4*c**2 + 8/3*c**3 + c. Suppose h(j) = 0. Calculate j.
-1, 2/3
Let w(z) = 3*z - 37. Let m be w(14). Let q(o) be the first derivative of 0*o - 2 - 7/10*o**m + 0*o**2 + 5/8*o**4 + 1/3*o**3. Determine d, given that q(d) = 0.
-2/7, 0, 1
Let x = 52 - 46. Factor -x*p + p + 20*p**3 - 35*p**3 + 20*p**3.
5*p*(p - 1)*(p + 1)
Let m(v) = -2*v**2 + 7*v + 4. Let x be m(7). Let i be x/(-63)*(-4)/(-10). Factor 2/7*f**5 - 2/7*f**2 + 0 + i*f**4 - 2/7*f**3 + 0*f.
2*f**2*(f - 1)*(f + 1)**2/7
Let l(n) be the first derivative of -n**4/12 + n**3/2 - n**2 + n + 3. Let i(r) be the first derivative of l(r). Determine q, given that i(q) = 0.
1, 2
Suppose -o + 0 + 3 = 0. Suppose -5*j + 4*r = 10, 2*r + o*r = -2*j + 29. Let 4*l**3 - 2*l**j + 2*l**2 = 0. What is l?
0
Let m(c) be the second derivative of 5*c**7/42 + c**6/6 - c**5/4 - 5*c**4/12 + 47*c - 4. Let m(d) = 0. Calculate d.
-1, 0, 1
Let n(b) = -9*b**3 + 24*b**2 + 61*b + 45. Let u(x) = -2*x**3 + 6*x**2 + 15*x + 11. Let d(a) = -6*n(a) + 26*u(a). Let d(q) = 0. What is q?
-2
Let y(z) = -27*z - 79. Let v be y(-3). Let n(k) be the first derivative of -2/5*k**v + 4/5*k + 6 + 1/15*k**3. Suppose n(i) = 0. Calculate i.
2
Let b(l) = 5*l**2 + 20*l - 19. Let d(m) = 135*m**2 + 540*m - 510. Let p(x) = -55*b(x) + 2*d(x). Find c, given that p(c) = 0.
-5, 1
Suppose 81*u = -95*u - 127 + 2943. Factor -5*f**2 - 1/3*f + 0 + 64/3*f**4 - u*f**3.
f*(f - 1)*(8*f + 1)**2/3
Let x(d) = -d**3 + 2*d**2 + 3*d + 2. Let q be x(3). Let j(r) be the first derivative of 0*r - 2*r**q + 6 - 4/3*r**3. Determine b so that j(b) = 0.
-1, 0
Let y(h) be the second derivative of 0*h**3 - 3/20*h**5 + 1/12*h**4 + 0 + 0*h**2 + 14*h. Factor y(q).
-q**2*(3*q - 1)
Suppose 13*t - 5*t - 24 = 0. Solve -2*j**3 - 10*j**2 - 11 - t*j + 5 - 11*j = 0.
-3, -1
Suppose -3*u = -9 - 9. Suppose 5*t = -2*l + u, 0 = l + l - 3*t - 6. Factor -b - 15*b**2 - b + 14*b + l*b**2 + 3*b**3.
3*b*(b - 2)**2
Let x be 350/1225*(-1 + 2)*7. Suppose 0 - 2/5*w - 1/5*w**3 + 3/5*w**x = 0. What is w?
0, 1, 2
Factor 2/9*k**2 + 0 - 70/9*k.
2*k*(k - 35)/9
Let c(v) be the third derivative of v**7/210 - 7*v**6/30 - 3*v**5/2 - 23*v**4/6 - 31*v**3/6 - 217*v**2. Find g, given that c(g) = 0.
-1, 31
Let t(m) = m**2 + 7*m + 5. Let v be t(-7). Suppose 0 = 5*z + 5*h - 30, -2*z = 3*z + h - 34. Factor 2*g + 0*g**3 - z*g**2 + 0*g**v + 9*g**3 - 5*g**4 + g**5.
g*(g - 2)*(g - 1)**3
Let y(k) be the third derivative of k**9/181440 + k**8/15120 + k**7/5040 - k**5/30 + 8*k**2. Let u(f) be the third derivative of y(f). Factor u(a).
a*(a + 1)*(a + 3)/3
Let h be ((-2)/(-18))/((-12)/(-27)). Determine x, given that -1/4*x**2 + 0 + 1/4*x**4 - 1/4*x**3 + h*x = 0.
-1, 0, 1
Let r(u) = 5*u**2 + 4*u - 1. Let t(w) = -w - 1. Let d(v) = -v - 1. Let f(c) = -2*d(c) + 3*t(c). Let k(b) = 4*f(b) + r(b). What is j in k(j) = 0?
-1, 1
Let p(y) be the second derivative of 11*y + 0 + 0*y**4 + 1/21*y**3 + 0*y**2 + 0*y**6 + 1/147*y**7 - 1/35*y**5. Let p(a) = 0. What is a?
-1, 0, 1
Let h = 129 - 75. Determine b so that 1425*b + 11*b**3 + h*b**2 - 1422*b + 42*b**4 - 104*b**3 - 6 = 0.
-2/7, 1/2, 1
Suppose 4*b - 2040 + 2001 = -5*m, m + 3 = b. Factor -4/9*z - 1/3*z**2 + 0 + 1/9*z**m.
z*(z - 4)*(z + 1)/9
Let y(r) be the second derivative of -r**6/30 + r**2/2 + 12*r. Let g(u) = -10*u**4 - 8*u**3 - 6*u**2 + 8*u + 16. Let h(n) = g(n) - 8*y(n). Factor h(m).
-2*(m - 1)*(m + 1)*(m + 2)**2
Suppose 28/3*d**2 + 260/3*d + 24 = 0. What is d?
-9, -2/7
Let r be (-124)/(-279) + 118/(-270). Let h(a) be the second derivative of 0 + r*a**6 - 1/54*a**4 + 0*a**3 + 0*a**2 + 2*a + 0*a**5. Factor h(o).
2*o**2*(o - 1)*(o + 1)/9
Let n(g) be the second derivative of g**8/2520 - g**6/180 + g**5/90 - 7*g**3/6 + 6*g. Let y(u) be the second derivative of n(u). Factor y(f).
2*f*(f - 1)**2*(f + 2)/3
Let k(j) be the first derivative of 3*j**4/2 + 20*j**3/3 + 3*j**2 + 90. Solve k(f) = 0.
-3, -1/3, 0
Let l(g) be the first derivative of g**5/3 + 55*g**4/24 - 55*g**3/18 - 130*g**2/3 - 40*g - 559. Let l(j) = 0. Calculate j.
-4, -1/2, 3
Factor 3*l**2 - 28726*l + 28726*l.
3*l**2
Let n(a) = -7*a**3 + 24*a**2 - 85*a. Let m(q) = -3*q**3 + 12*q**2 - 42*q. Let t(k) = -