f h(k). Determine u, given that q(u) = 0.
-1, 0
Let v be (43/((-2580)/(-250)))/(5/3). What is a in -3/4*a - 1/4*a**2 + v = 0?
-5, 2
Let v(o) be the third derivative of -o**5/60 + o**4/24 - 3*o**3/2 + 2*o**2. Let n(x) = 138 + 134 + 136 + 140 - 544. Let y(j) = 9*n(j) + 4*v(j). Factor y(p).
-4*p*(p - 1)
Let v be 67/13 - 32/208. Solve -32*k**2 - 26*k**2 + 5*k - v*k**4 - 5*k**3 + 63*k**2 = 0 for k.
-1, 0, 1
Let a(h) = -h**2 - 107*h + 789. Let l(b) = 2*b**2 + 268*b - 1972. Let n(g) = 12*a(g) + 5*l(g). Let n(k) = 0. What is k?
14
Let w(h) be the second derivative of h**7/14 - 3*h**6/5 + 21*h**5/20 + 3*h**4/2 - 4*h**3 - 287*h. Find y such that w(y) = 0.
-1, 0, 1, 2, 4
Let f(p) be the second derivative of -9*p**2 + 0 - 1/24*p**4 + 21*p + p**3. Find v such that f(v) = 0.
6
Let a(i) = 2*i**2 - 2*i + 8. Let y be a(4). Let z be y/14 + 10/(-35). Determine m so that -m**z - 4 + 3*m**2 + 8*m + m**2 - 7*m**2 = 0.
1
Let z(p) be the first derivative of 0*p - 1/420*p**5 + 5/2*p**2 + 0*p**4 - 1 + 1/42*p**3. Let a(n) be the second derivative of z(n). Factor a(g).
-(g - 1)*(g + 1)/7
Let 3/8*z**4 + 9/2*z + 105/8*z**2 - 9/2*z**3 - 27/2 = 0. What is z?
-1, 1, 6
Suppose -o + v = -1, 0 = 4*o - 3*v + 7 - 13. Let b(c) be the first derivative of 0*c + 1 - 2/15*c**o + 3/5*c**2. Solve b(l) = 0.
0, 3
Suppose 0*k + 12/7*k**5 + 0 - 3/7*k**2 + 3*k**4 + 6/7*k**3 = 0. What is k?
-1, 0, 1/4
Let i = -373 - -376. Determine p, given that -6/7*p**i + 0 + 4/7*p + 2/7*p**2 = 0.
-2/3, 0, 1
Let h(x) be the first derivative of x**5/5 + 5*x**4/2 + 23*x**3/3 + 7*x**2 - 242. Factor h(v).
v*(v + 1)*(v + 2)*(v + 7)
Let o(k) be the third derivative of k**6/280 + 47*k**5/140 - k**4/56 - 47*k**3/14 - 11*k**2 - 17. Factor o(x).
3*(x - 1)*(x + 1)*(x + 47)/7
Let t be 54/(-21)*126/(-189). Determine h, given that 4/7*h**2 - 8/7 - t*h**3 + 4/7*h**4 + 12/7*h = 0.
-1, 1, 2
Let l be (-2)/(-5) + 36/10. Suppose -2*o - 6 = -3*o - 2*n, n = -l*o + 10. Let 10*s**2 + 4*s - 7*s**o + 3*s**3 - 4*s = 0. What is s?
-1, 0
Let n(r) = r**3 - 11*r**2 + 9*r + 20. Let c be n(10). Suppose 6*o - o + v = c, -4*v = 0. Factor 2/5*k**o + 6/5*k**3 + 2/5*k**4 - 4/5 - 6/5*k.
2*(k - 1)*(k + 1)**2*(k + 2)/5
Let i(v) be the first derivative of -v**3/3 + 5*v**2 - 16*v - 132. Factor i(a).
-(a - 8)*(a - 2)
Let s(q) be the third derivative of q**7/70 - 23*q**6/40 + 6*q**5 + 18*q**4 + 108*q**2. Factor s(h).
3*h*(h - 12)**2*(h + 1)
Suppose 258 = 12*j + 222. Let l(y) be the first derivative of -6*y + 5 - 9/2*y**2 - y**j. Let l(h) = 0. What is h?
-2, -1
Let g(d) be the second derivative of d**6/180 + 23*d**5/60 + 71*d**4/24 + 83*d**3/9 + 41*d**2/3 - 147*d. Factor g(i).
(i + 1)*(i + 2)**2*(i + 41)/6
Let l be 1 + -2 + 3 + -11 + (1 - -10). Factor 1/5 + 3/10*k + 1/10*k**l.
(k + 1)*(k + 2)/10
Let o(j) = -5*j**3 - 10*j**2 + 28*j - 3. Let n(i) = 13*i**3 + 30*i**2 - 83*i + 8. Let k(c) = -3*n(c) - 8*o(c). Factor k(q).
q*(q - 5)**2
Solve 5/2*u**2 + 14 + 1/4*u**3 - 13*u = 0.
-14, 2
Let p = 22 - 17. Suppose 2*s = -2*q + 10, s - p*q + 25 + 0 = 0. Factor 0 + s*f**2 + 0*f + 1/2*f**3.
f**3/2
Let o(b) = -4*b + 0*b**4 + b**3 + 1 + b**4 + 3*b. Let n be -1*2/2 + 2. Let d(f) = 6*f**4 - 3*f**3 + 3*f. Let m(g) = n*d(g) - 3*o(g). Find a such that m(a) = 0.
-1, 1
Let s = 612 + -610. Let m(f) be the second derivative of f**s + 0*f**3 - 1/6*f**4 + 0 - 8*f. Let m(i) = 0. What is i?
-1, 1
Suppose 0 = -5*l + 7*l + 128. Let i = -62 - l. Solve -1/3 + 0*n + 1/3*n**i = 0.
-1, 1
Let m(f) = -4*f**4 + 10*f**3 - 12*f**2 - 4*f + 14. Let t(q) = 5*q**4 - 10*q**3 + 12*q**2 + 2*q - 13. Let o(s) = -3*m(s) - 2*t(s). Factor o(g).
2*(g - 2)**3*(g + 1)
Let c(i) = i**2 - 4*i + 3. Let d be c(4). Factor a**3 - 16 - 36*a + 9*a**d + 12*a**2 + 28*a**2 + 2*a**3.
4*(a - 1)*(a + 4)*(3*a + 1)
Let q(n) be the second derivative of -8/21*n**3 + 1/35*n**5 - 1/21*n**4 + 0 + 11*n + 8/7*n**2. Factor q(m).
4*(m - 2)*(m - 1)*(m + 2)/7
Factor 3*a**2 - 12*a**3 - 4162 - 17*a + 4160 - 35*a**2.
-(a + 2)*(2*a + 1)*(6*a + 1)
Let n(u) = -2*u - 22. Let a be n(-12). Let -3*s + 199 + 10*s**a + 5*s**2 - s**3 - 72*s - 74 = 0. Calculate s.
5
Let v(n) be the first derivative of n**6/39 - 4*n**5/65 - 7*n**4/26 - 8*n**3/39 - 59. Factor v(i).
2*i**2*(i - 4)*(i + 1)**2/13
Let u(t) be the third derivative of t**5/120 + 11*t**4/2 + 1452*t**3 - 2*t**2 + 41. Let u(f) = 0. What is f?
-132
Let v(g) be the third derivative of -5*g**8/192 + 47*g**7/420 + 53*g**6/480 - 4*g**5/15 + g**4/8 + 4*g**2 + 2. Find q, given that v(q) = 0.
-1, 0, 2/7, 2/5, 3
Let k(f) be the second derivative of -f**5/10 + 17*f**4/6 + f**3/3 - 17*f**2 - 15*f. Solve k(w) = 0 for w.
-1, 1, 17
Let p(g) be the third derivative of -g**6/540 + 2*g**5/135 - 5*g**4/108 + 2*g**3/27 + 116*g**2. Factor p(l).
-2*(l - 2)*(l - 1)**2/9
Determine d so that -2/9 - 38/3*d**2 - 116/9*d = 0.
-1, -1/57
Let g = -556/31 - -2164/93. Factor -30*f**3 - 1/3*f**5 - 125/3*f - g*f**4 - 200/3*f**2 + 0.
-f*(f + 1)*(f + 5)**3/3
Let z(r) be the third derivative of r**6/360 + r**5/180 - r**4/9 - 2*r**3/3 + 90*r**2. Find i, given that z(i) = 0.
-2, 3
Let w = -3538 - -3541. Solve -3*j + 3/2 + 0*j**2 + 3*j**w - 3/2*j**4 = 0.
-1, 1
Let d = 1797 - 1795. Let y = 143/180 + -7/20. Factor -2/9 + 2/3*w**4 - 2/9*w**5 + 2/3*w - y*w**3 - 4/9*w**d.
-2*(w - 1)**4*(w + 1)/9
Suppose 27/2*y + 13 - 27/2*y**3 - 1/2*y**4 - 25/2*y**2 = 0. What is y?
-26, -1, 1
Let g = 4044/55 - 800/11. Factor -1/2 - g*z - 3/10*z**2.
-(z + 1)*(3*z + 5)/10
Let s be (-2095)/420 + 1 - (3 + -7). Let k(w) be the third derivative of 2/21*w**3 + 0 + 0*w + 3*w**2 - 1/210*w**5 + s*w**4. Factor k(b).
-2*(b - 2)*(b + 1)/7
Let b(o) = -20*o**3 - 69*o**2 + 11. Let v(g) = 4*g**3 + 14*g**2 - 2. Suppose -11*n - 22 = -0*n. Let a(x) = n*b(x) - 11*v(x). Suppose a(t) = 0. What is t?
-4, 0
Let n(k) be the first derivative of -24*k - 8 + 6*k**2 - 1/2*k**3. Let n(b) = 0. Calculate b.
4
Let g(m) = 2*m**3 + 3*m**2 - 1. Let z be g(1). Factor 30*k**3 - k**5 + 6*k**5 + 5*k - 20*k**2 - 3*k**4 - 6*k**z - 11*k**4.
5*k*(k - 1)**4
Let p(x) = -90*x**2 + 135 - 58*x - 51*x - 6*x + 4*x. Let a(o) = -11*o**2 - 14*o + 17. Let z(i) = 33*a(i) - 4*p(i). Solve z(v) = 0.
-7, 1
Determine k, given that 32/11*k**3 + 272/11*k**2 + 18/11 - 142/11*k = 0.
-9, 1/4
Let s(x) = 3*x**3 - 3*x + 2. Let v(r) = -r - 3 + 6 + 3*r**3 - r - r. Let i(d) = -3*s(d) + 2*v(d). Factor i(p).
-3*p*(p - 1)*(p + 1)
Let p be ((-2)/1 - -2)/1. Let t(l) = -l**3 - 6*l**2 + 2. Let q be t(-6). Factor p*h**q - 2*h**2 - h**2.
-3*h**2
Let a(g) = -g**3 - g**2 - 2*g. Let p = 0 + 1. Let r(v) = 2*v - 10. Let m(z) = -3*z + 14. Let o(f) = 5*m(f) + 7*r(f). Let s(l) = p*a(l) - 2*o(l). Factor s(h).
-h**2*(h + 1)
Let x(l) be the first derivative of -l**6/3 + 12*l**5/5 - 7*l**4 + 32*l**3/3 - 9*l**2 + 4*l + 178. What is u in x(u) = 0?
1, 2
Let p(h) be the first derivative of h**4/18 - 4*h**3/27 - h**2/9 + 4*h/9 - 70. Solve p(y) = 0 for y.
-1, 1, 2
Let b = -201 + 199. Let o be 0/(-1)*(-2)/b. Find c such that o*c + 3/5 - 3/5*c**2 = 0.
-1, 1
Let k be ((-53)/(-106))/(3/10). Let i(x) be the first derivative of 4 - k*x**3 + 1/4*x**4 + 7/2*x**2 - 3*x. Suppose i(f) = 0. What is f?
1, 3
Let l(b) be the second derivative of -58*b + 1/14*b**4 - 5/21*b**3 + 1/14*b**5 + 1/7*b**2 + 0 - 4/105*b**6. What is o in l(o) = 0?
-1, 1/4, 1
Let a(i) be the first derivative of 4/5*i**3 + 0*i - 14 - 4/25*i**5 + 0*i**4 + 4/5*i**2. Factor a(x).
-4*x*(x - 2)*(x + 1)**2/5
Suppose u - 16 = -4*o - 7, -2*u + 10 = 4*o. Solve 40/9*a + 1/9*a**5 - 17/3*a**o + 31/9*a**3 - 4/3 - a**4 = 0.
1, 2, 3
Let x(k) be the first derivative of 1/3*k**3 + 1/2*k**2 - k - 1/4*k**4 + 34. Factor x(c).
-(c - 1)**2*(c + 1)
Let s(u) be the second derivative of 0 - 1/135*u**6 + u - 1/30*u**5 + 0*u**2 - 1/27*u**4 + 0*u**3. Factor s(w).
-2*w**2*(w + 1)*(w + 2)/9
Let n(z) be the second derivative of 2*z**7/1365 + z**6/780 + 9*z**2 - 3*z. Let f(y) be the first derivative of n(y). Factor f(h).
2*h**3*(2*h + 1)/13
Let r(w) be the third derivative of 0 + 7/24*w**4 - w**3 - 11*w**2 + 3/10*w**5 + 0*w + 1/24*w**6. Factor r(m).
(m + 1)*(m + 3)*(5*m - 2)
Let p be (-8)/(-2) + -35 + 32. Suppose -4*q - 2 = -18. Let g(h) = -h**2. Let f(t) = 24*t**2 + 4*t. Let z(c) = p*f(c) + q*g(c). Factor z(b).
4*b*(5*b + 1)
Let t(b) = -5*b**3 - 20*b**2 + 52*b + 2. Let m(v) = 6*v**3 + 21*v**2 - 54*v - 3. Let q(a) = -2*m(