ind h, given that u(h) = 0.
0, 1/5
Solve 16/5*l**5 - 79/5 - 1904/5*l**2 + 633/5*l + 2552/5*l**3 - 1296/5*l**4 = 0.
1/2, 79
Suppose -7 = -3*s - 43. Let l = -8 - s. Suppose h**3 - 2*h + 3*h + 2*h - l*h = 0. What is h?
-1, 0, 1
Let q(n) = -9*n**4 + 6*n**3 - 3*n. Let s(d) = d**5 - 19*d**4 + 11*d**3 - 7*d. Let h(g) = 7*q(g) - 3*s(g). Factor h(l).
-3*l**3*(l - 1)*(l + 3)
Let n be 4/(-10) - (48/(-30))/4. Let m be (-5 - (-2 - 5))/(1 + n). Find t such that -1/4*t**5 + 0 + 1/4*t**m - 1/4*t**4 - 1/2*t + 3/4*t**3 = 0.
-2, -1, 0, 1
Let j(h) be the first derivative of 3*h**7/70 + h**6/50 + 30*h + 27. Let m(u) be the first derivative of j(u). Let m(i) = 0. Calculate i.
-1/3, 0
Let b be 0*((-27)/6)/(-9)*2. Let g be (b*(5/(-5))/4)/1. Solve g + 0*z - 1/2*z**3 - z**2 + 1/2*z**4 = 0.
-1, 0, 2
Solve 20/7*i**2 + 0 + 6/7*i**3 + 0*i - 2/7*i**4 = 0.
-2, 0, 5
Let c(x) = -3*x**2 + 88*x + 1936. Let q(j) = -7*j**2 + 176*j + 3872. Let p(g) = 9*c(g) - 4*q(g). Solve p(y) = 0.
-44
Let h be (-622)/(-6) + (2 - 1). Let w = -102 + h. Solve -s**3 + 4*s + 2/3*s**2 + w - 1/3*s**4 = 0.
-2, -1, 2
Determine q, given that q**2 - q**2 + 456*q - 3641 - 6113 - 4*q**2 - 3242 = 0.
57
Let 2*f**3 + 2387 - 42*f - 1154 - 1193 = 0. What is f?
-5, 1, 4
Factor 2 - 111*p + 97*p + 14 - 2*p**2.
-2*(p - 1)*(p + 8)
Let f(q) be the second derivative of -q**7/98 + 2*q**6/35 - 3*q**5/28 + q**4/14 + 2*q - 419. Factor f(s).
-3*s**2*(s - 2)*(s - 1)**2/7
Suppose 4*d + 3 + 9 = v, 3*d = -5*v + 14. Let t be v/14*7/4. Suppose -1/2*q**3 - 1/2 - q**4 + t*q + 3/2*q**2 = 0. Calculate q.
-1, 1/2, 1
Let q = 182470/13 - 14036. Let -168/13*h**4 - 28/13*h**2 + 122/13*h**3 + 0 + 72/13*h**5 + q*h = 0. Calculate h.
0, 1/6, 1
Let v(u) = -4*u - 5. Let g be v(-2). Determine r so that 10 - 95*r + 20 + 73*r**2 - 162*r**g + 117*r**3 + 32*r**2 + 5*r**4 = 0.
1, 6
Let j(d) = -d**2 - 6*d + 9. Let b be j(-7). Solve -y**3 + 4*y + 12*y**b - 12*y**4 - 2*y**3 + y**3 - 2*y**3 = 0 for y.
-1, -1/3, 0, 1
Find i such that 4 - 2/7*i**4 - 26/7*i**2 - 18/7*i + 18/7*i**3 = 0.
-1, 1, 2, 7
Let 0 + 261*r**2 + 217/2*r**3 + 162*r + 39/4*r**4 + 1/4*r**5 = 0. Calculate r.
-18, -2, -1, 0
Let u = -5371 - -5373. Solve -3/2*i - 3/8*i**u - 3/2 = 0 for i.
-2
Suppose 16 = 101*l - 55 - 232. Factor 2/11*b**l - 2/11*b**2 - 2/11*b + 2/11.
2*(b - 1)**2*(b + 1)/11
Let g(k) be the first derivative of 2/3*k - 1/12*k**4 - 30 + 1/5*k**5 - 1/2*k**2 - k**3. Let g(y) = 0. Calculate y.
-1, 1/3, 2
Let w(t) = t**2 - 2*t - 3. Let a be w(3). Factor 2*i**2 + 12*i**4 + 3*i**3 + a*i**2 - 11*i**4.
i**2*(i + 1)*(i + 2)
Let y(f) be the third derivative of -f**7/630 - f**6/36 - 17*f**5/180 - f**4/9 - 6*f**2 + 8. Let y(x) = 0. What is x?
-8, -1, 0
Let i = 127/540 + -19/540. Suppose -3/5*a + 0*a**2 + i*a**3 - 2/5 = 0. Calculate a.
-1, 2
Let u(f) be the third derivative of 0*f**4 + 0*f**6 + 0*f**5 - 1/7560*f**7 - 9*f**2 - 7/6*f**3 + 0*f + 0. Let t(s) be the first derivative of u(s). Factor t(i).
-i**3/9
Let w(v) be the first derivative of 4*v**3/27 - 34*v**2/9 + 208*v/9 + 747. Factor w(t).
4*(t - 13)*(t - 4)/9
Let n = 1534 - 1532. Let c(t) be the first derivative of -14/3*t**3 - 19*t**n + 10 + 12*t. Determine k, given that c(k) = 0.
-3, 2/7
Let w(y) = -36*y**2 - 827*y + 26. Let q be w(-23). Factor 3/5*r**2 - 3/5*r**q + 0 - 3/5*r**4 + 0*r + 3/5*r**5.
3*r**2*(r - 1)**2*(r + 1)/5
Let b(t) be the third derivative of t**6/660 - 7*t**5/110 - 35*t**4/66 - 16*t**3/11 + t**2 - 14. Find d, given that b(d) = 0.
-2, -1, 24
Suppose 22 + 3 = 5*r. Suppose -5*k = 6*y - 2*y + 3, -15 = r*k. Suppose a**3 + 2*a**4 - 4*a**y + 9*a**3 + 4*a**2 = 0. What is a?
-2, -1, 0
Factor 457*v**2 - 36 - 15*v - 1379*v**2 + 465*v**2 + 466*v**2.
3*(v - 3)*(3*v + 4)
Suppose 0 = 9*z + 18*z - 54. Let b(n) be the third derivative of 1/54*n**4 + 0*n + n**z - 1/27*n**3 + 0 - 1/270*n**5. What is f in b(f) = 0?
1
Let x(h) be the first derivative of -h**3/3 + 5*h**2/2 - 148. Factor x(k).
-k*(k - 5)
Let z(s) be the second derivative of s**4/6 + 13*s**3/3 - 14*s**2 - 46*s. Suppose z(a) = 0. Calculate a.
-14, 1
Let s = 20200/3 - 6732. Find r, given that s*r**3 + 0 + 8/3*r**2 - 4*r = 0.
-3, 0, 1
Suppose 0 = -3*y - 0 + 9. Solve -4*r**2 + 3*r**2 + r**4 + 2*r**y + 2*r**2 = 0 for r.
-1, 0
Let g = 137109/1915 + 1/383. Let j = g + -71. Factor -j*v**4 + 0 + 0*v**2 + 3/5*v**3 + 0*v.
-3*v**3*(v - 1)/5
Let c be (-3*4)/3 - -5. Let v = c - -8. Solve -1 + 3*n**4 + 2*n - 2*n**3 + 5 + 8*n**4 - 24*n**2 + v*n**4 = 0.
-1, -2/5, 1/2, 1
Suppose 0 = 2*o + 49*o - 102. Let d(p) be the third derivative of 0 + 0*p - 6*p**o + 1/120*p**6 - 1/210*p**7 + 0*p**5 + 0*p**3 + 0*p**4. Factor d(b).
-b**3*(b - 1)
Let o(s) be the third derivative of 6*s**2 + 0*s**3 - 1/60*s**5 - 1/24*s**4 + 0 + 0*s. Suppose o(b) = 0. Calculate b.
-1, 0
Let z(k) = -2*k - 24. Let t be z(-12). Suppose -5*p - h - h = t, -p - 8 = 2*h. Factor -1 + c - 1 + p*c**2 + c**3 - 2*c + 0*c.
(c - 1)*(c + 1)*(c + 2)
Let v(l) be the third derivative of -81*l**6/100 + 18*l**5/25 - l**4/4 + 2*l**3/45 - 7*l**2 - l. Determine c so that v(c) = 0.
1/9, 2/9
Let 2/17*k**5 + 0 - 14/17*k**2 + 14/17*k**4 + 10/17*k**3 - 12/17*k = 0. Calculate k.
-6, -1, 0, 1
Suppose 63/2 + 15/4*w**2 - 93/4*w = 0. What is w?
2, 21/5
Let v(y) = -5*y**2 + 244*y - 15860. Let m(x) = -4*x**2 + 246*x - 15864. Let i(c) = -4*m(c) + 3*v(c). Determine w so that i(w) = 0.
126
Let d be 6/(-8) - 66/(-24). Factor 0*t**d + 484*t + 28*t**2 + 20*t**3 - 476*t.
4*t*(t + 1)*(5*t + 2)
Let i(t) be the third derivative of 0 + 0*t + 1/150*t**5 - t**2 + 0*t**4 + 0*t**3 + 1/300*t**6. Factor i(s).
2*s**2*(s + 1)/5
Let w(s) = s**2 + 9*s + 3. Let y be w(-4). Let h = 19 + y. Factor 4*r - 5*r**2 + 3*r**h + 6 + 0.
-2*(r - 3)*(r + 1)
Let u = -6416/15 - -428. Let c(f) be the third derivative of -1/150*f**5 - 1/15*f**4 + 0*f + 0 - u*f**3 + 4*f**2. Factor c(o).
-2*(o + 2)**2/5
Suppose 4*s + 3 = 2*b - 25, 5*b - 5 = -3*s. Let l(r) = r + 5. Let n be l(4). Factor 4*a**3 + 8*a**4 + n*a**4 - 13*a**b.
4*a**3*(a + 1)
Let c(y) = -3*y**3 + y**2 - 31*y. Let l(d) = -d**3 + d**2 - 16*d. Let q(s) = -2*c(s) + 5*l(s). Factor q(z).
z*(z - 3)*(z + 6)
Let u(k) be the first derivative of -k**5/5 + k**3 + k**2 - 32. Factor u(c).
-c*(c - 2)*(c + 1)**2
Let f(j) be the third derivative of j**5/90 + 2*j**4/9 + 3*j**2 + 16*j. Factor f(p).
2*p*(p + 8)/3
Let q(t) be the first derivative of -2*t**3/9 - 214*t**2/3 - 22898*t/3 - 282. Find z, given that q(z) = 0.
-107
Suppose 2*j = -4*b + 16, 2*b = 6*b - 5*j - 30. Factor -b*o - 2*o**2 + 4 + 3*o + 4*o + 0*o.
-2*(o - 2)*(o + 1)
Let p be -2 + 2 + (-4 + 0 - -2). Let w be p/(-28) - (2 - -2)/(-8). Determine c, given that 2/7 - 6/7*c**2 + w*c = 0.
-1/3, 1
Let y = 58 - 18. Let b = -112 - -116. Find m such that -m + y*m**4 - 46*m**4 + m - b*m**3 - 2*m**5 = 0.
-2, -1, 0
Suppose -4*j = -5*m - 20, -4*j = -2*j + 2*m - 28. Solve -g**2 - 17 + j*g - 7*g + 21 = 0 for g.
-1, 4
Determine y so that -2*y**2 - 74*y + 4*y**2 - 3 + 29 + 15*y + 31*y = 0.
1, 13
Suppose 11*y**3 - 51*y - 8 + 17*y**2 - 30*y**2 - 12*y**3 - 55 = 0. Calculate y.
-7, -3
Suppose -5*p = 3*k - k - 363, -5*p + 370 = -5*k. Solve -70*s - 1 + s**2 + 2*s**2 + p*s - 5 = 0.
-2, 1
Let s(x) = -x**2 - 7*x. Let c be s(-5). Factor -231*p**2 - 17 + 14*p + c*p + 29.
-3*(7*p - 2)*(11*p + 2)
Solve 3/2*y**2 + 162867/2 + 699*y = 0 for y.
-233
Let v(g) be the second derivative of 30*g - 1 + 0*g**2 - 4/3*g**6 + 5/42*g**7 + 10/3*g**4 - 5/2*g**5 + 15/2*g**3. Factor v(f).
5*f*(f - 9)*(f - 1)*(f + 1)**2
Suppose u + 86 = 89. Suppose -12*g + 17*g - 19 = u*f, f + 8 = 2*g. Solve -1/2*k + 3/4 - 1/4*k**f = 0 for k.
-3, 1
Let p = 2 + 0. Let j be 14/(-21) - 88/(-24) - 3. Solve -2/3*g**p + 0 + j*g = 0 for g.
0
Let t be 4/(-18)*201/(-268). Let y(j) be the first derivative of 0*j**2 + 7 + 0*j + 1/27*j**6 + 2/27*j**3 + 2/15*j**5 + t*j**4. Solve y(n) = 0.
-1, 0
Let y(a) = -a**3 + 3*a**2 + a - 1. Let m be y(2). Suppose 0 = -m*b + 9 + 6. Solve 4*o**2 + 17*o**3 - 5*o**2 - 18*o**b + 2*o = 0 for o.
-2, 0, 1
Let o(d) = -23*d + 2. Let h be o(-6). Let a be (1 + (-9)/7)/((-80)/h). Let -y + 3*y**3 + a - 5/2*y**2 = 0. Calculate y.
-1/2, 1/3, 1
Let a = 15 - 13. Factor 0*x - 2 - 206*x**2 + 206*x**2 - 4*x + a*x**4 + 4*x**3.
2*(x - 1)*(x + 1)**3
Let y(m) = m**2 + m. Let k(a) = 5*a**2 + 12*a + 31. Let u(i) = k(i) + 2*y(i). Let b(x) = -6*x**2 - 15*x - 30. L