3, 2
Let z(f) be the third derivative of f**8/28 - f**7/10 - 3*f**6/4 + 73*f**5/20 - 7*f**4/2 - 6*f**3 + 78*f**2. Let z(x) = 0. What is x?
-3, -1/4, 1, 2
Let x(t) = 300*t**4 - 557*t**3 + 183*t**2 + 37*t + 3. Let i(u) = 100*u**4 - 186*u**3 + 61*u**2 + 12*u + 1. Let c(y) = -17*i(y) + 6*x(y). Factor c(q).
(q - 1)**2*(10*q + 1)**2
Let s(v) be the first derivative of -1/10*v**4 - 2/15*v**3 + 40 + 0*v + 0*v**2. Factor s(o).
-2*o**2*(o + 1)/5
Suppose 0 = 3*g - 12, -4*i + 40*g = 42*g - 16. Let n(b) be the second derivative of 1/15*b**5 + 2/135*b**6 + 9*b + 0*b**3 + 2/27*b**4 + 0 + 0*b**i. Factor n(l).
4*l**2*(l + 1)*(l + 2)/9
Let a = -8 + 4. Let s = -7/2 - a. Solve 1/2*o**4 - s*o**3 + 0*o + 0*o**2 + 0 = 0 for o.
0, 1
Let t(j) = 7*j - 1. Let p be t(-2). Let v = p - -23. What is i in -8*i**4 + 0 - 42/5*i**3 + v*i**2 + 10*i**5 - 8/5*i = 0?
-1, 0, 2/5, 1
Let x = 994/9 - -13070/9. Let w = 1576 - x. Determine j so that -18*j**5 - 20/3*j**2 + 0*j**4 + 16/3 - w*j + 30*j**3 = 0.
-1, 2/3
Let i(q) be the second derivative of q**8/560 + q**7/140 - q**6/30 - q**5/5 - 7*q**3/3 - 3*q. Let j(a) be the second derivative of i(a). Solve j(l) = 0 for l.
-2, 0, 2
Let a be 2992/36*-3 + 1. Let f = a - -249. Suppose 4*j - 6 - f*j**2 = 0. What is j?
3
Let q(a) = 9*a**3 + 160*a**2 + 560*a + 15. Let w be q(-13). Factor -65/2*l - 5/2*l**w + 35.
-5*(l - 1)*(l + 14)/2
Let z(h) be the first derivative of -4/15*h**3 + 0*h - 4/25*h**5 + 1 - 2/5*h**4 + 0*h**2. Factor z(i).
-4*i**2*(i + 1)**2/5
Let q = -1857 + 1860. Suppose -375/4*h**4 - 50*h**q - 5 + 215/4*h**2 + 5*h = 0. Calculate h.
-1, -1/3, 2/5
Let p(h) be the first derivative of -h**6/6 - h**5/2 - 3*h**4/8 + h**3/6 + h**2/4 + 286. Factor p(j).
-j*(j + 1)**3*(2*j - 1)/2
Let r be 0/(-4 - 6/(-2)). Factor 2/9*i**5 - 4/9*i**3 + 2/9*i + r + 0*i**4 + 0*i**2.
2*i*(i - 1)**2*(i + 1)**2/9
Let c be 0 + 4/18 - 530/2385. Find o such that c + 0*o + 0*o**2 - 1/6*o**5 - 1/6*o**3 + 1/3*o**4 = 0.
0, 1
Suppose 3*b + 2*b - 40 = 0. Factor -8*n - 12*n**4 - 13*n**2 - b*n**3 + 14*n**2 + 27*n**2.
-4*n*(n - 1)*(n + 2)*(3*n - 1)
Let w(o) = o**2 - o - 1. Let t(v) = -18*v - 5. Let c(n) = -17*n - 5. Let p(k) = 3*c(k) - 2*t(k). Let j(l) = p(l) - 5*w(l). Suppose j(h) = 0. What is h?
-2, 0
Suppose 7 = s - 5. Suppose -2*n + s = -2. Factor -n*o**3 - 3 - 39*o**2 + 9*o**2 - 15*o**4 + 3*o**5 + 37*o**3 + 15*o.
3*(o - 1)**5
What is u in 1/4 + 35721/4*u**2 + 189/2*u = 0?
-1/189
Let m be (0 - 5) + ((-136)/6)/(-4). Determine q so that m*q**3 + 0*q**2 - 2/9*q**4 - 8/9*q + 0 = 0.
-1, 0, 2
Let u(q) = q**3 + 16*q**2 + 13*q - 14. Let b be u(-15). Let z be (-6)/b*(0 + (5 - 7)). Factor 1/4*v**2 - z + 1/2*v.
(v - 1)*(v + 3)/4
Let w(k) = 3*k - 5. Let q be w(2). Suppose 8 = -2*i, 16 = y - 3*i + q. Factor 6/5*s**y - 6/5*s - 2/5 + 2/5*s**2.
2*(s - 1)*(s + 1)*(3*s + 1)/5
Let r = -38 - -41. Find f such that 4*f + f + 3 + 4*f + 3*f**r + 9*f**2 = 0.
-1
Let u(b) be the third derivative of b**8/336 - b**7/210 - b**6/120 + b**5/60 - 5*b**4/24 + 16*b**2. Let r(l) = -l. Let g(z) = -5*r(z) + u(z). Factor g(o).
o**2*(o - 1)**2*(o + 1)
Determine n so that -69*n - 3/4*n**2 - 1587 = 0.
-46
Let x(m) = 166*m - 17. Let t be x(-3). Let w be 2/8 - 2*t/200. What is n in 27/5*n**3 - 3/5*n**2 - 3/5*n + w*n**4 + 0 = 0?
-1, -1/3, 0, 1/3
Let f(b) be the first derivative of b**6/10 + 6*b**5/5 + 9*b**4/10 - 28*b**3/5 - 21*b**2/10 + 54*b/5 + 435. Let f(d) = 0. Calculate d.
-9, -2, -1, 1
Let c(l) = -l**3 + 14*l**2 + l - 10. Suppose -4*o = 5*n - 3*o - 65, 5*o = -2*n + 3. Let f be c(n). Factor 8/7*h**3 - 2/7*h**f - 10/7*h**2 + 0 + 4/7*h.
-2*h*(h - 2)*(h - 1)**2/7
Let n(o) = -2*o**4 + 8*o**3 - 14*o**2 + 6*o. Let m(r) = r**2 - r. Let h(a) = -6*m(a) - n(a). Determine q so that h(q) = 0.
0, 2
Let x be (3 - (-92)/(-30))*90/(-27). Let w(s) be the first derivative of -1 - 1/6*s**4 + x*s**3 - 1/9*s**2 + 2/45*s**5 + 0*s. Suppose w(p) = 0. Calculate p.
0, 1
Let j(f) be the first derivative of -64*f**5/75 + 8*f**4/15 - 2*f**3/15 + 15*f**2/2 - 12. Let r(g) be the second derivative of j(g). Factor r(b).
-4*(8*b - 1)**2/5
Let r(h) be the first derivative of h**3/6 + 11*h**2/4 - 30*h + 142. Factor r(p).
(p - 4)*(p + 15)/2
Factor -53*z**4 - 50*z**4 + 4*z**4 + 25*z**4 - 4820*z**3 - 26*z**4 + 3904*z**2 - 784*z.
-4*z*(z + 49)*(5*z - 2)**2
Let a(u) be the third derivative of 1/15*u**4 - 1/75*u**5 - 1/100*u**6 + 0*u + 1/1680*u**8 + 0 + 1/1050*u**7 + 0*u**3 - 30*u**2. Factor a(d).
d*(d - 2)*(d - 1)*(d + 2)**2/5
Let q(i) be the second derivative of 4/9*i**3 + 0 + i**2 + 1/18*i**4 + 9*i. Let q(b) = 0. Calculate b.
-3, -1
Let r(k) be the third derivative of 0*k**4 - 1/60*k**5 + 2*k**2 + 0*k + 0 + k**3 - 1/180*k**6. Let w(u) be the first derivative of r(u). Factor w(h).
-2*h*(h + 1)
Suppose 2*o + 1 - 8 = 3*h, 5*h + 3 = -o. Let k be 32/160 - (-1 - h). What is j in 4/5*j**3 + k - 1/5*j**2 - 4/5*j = 0?
-1, 1/4, 1
Let -y**3 - 10037*y - 25*y**2 - 26*y**2 - 49 + 9938*y = 0. Calculate y.
-49, -1
Let i(z) be the second derivative of -z**4/48 + z**3/6 - z**2/2 - z + 1. Factor i(d).
-(d - 2)**2/4
Let a(x) = 7*x**4 + 3*x**3. Let t(g) = 8*g**4 + 3*g**3 + g**2. Suppose -1 - 7 = -4*p. Let k be p/((8/6)/(-2)). Let q(u) = k*a(u) + 2*t(u). Factor q(y).
-y**2*(y + 1)*(5*y - 2)
Let u be 11 - 6 - -4 - 6. Let b(n) be the second derivative of 1/24*n**u - 1/120*n**6 - 1/40*n**5 - 1/8*n**2 + 1/168*n**7 + 0 + 4*n + 1/24*n**4. Factor b(r).
(r - 1)**3*(r + 1)**2/4
Let z be 2/12 + 51*15/270. Find c such that 0*c - 1/4*c**z + 0 + 1/2*c**2 = 0.
0, 2
Let m be 1*7 + 12/4. Suppose -2*n + 0*n + m = 0. Solve 4*z**2 - 9*z**4 - 3*z**3 + 6*z**2 - z**2 - 3*z**n + 6*z = 0 for z.
-2, -1, 0, 1
Determine c so that 9*c + 58/3 - 1/3*c**2 = 0.
-2, 29
Let g(t) be the third derivative of t**6/80 + t**5/40 - 3*t**4/8 + 101*t**2. Factor g(n).
3*n*(n - 2)*(n + 3)/2
Let q(p) be the second derivative of p**6/15 - p**5/2 - p**4/6 + 5*p**3/3 - 135*p. Find y, given that q(y) = 0.
-1, 0, 1, 5
Let o(i) = -i**2 + 29*i + 602. Let h be o(43). Solve 0 + h*x**2 - 32/7*x**4 - 4/7*x + 24/7*x**3 + 12/7*x**5 = 0.
-1/3, 0, 1
Let q(t) be the third derivative of -t**5/120 - 11*t**4/48 - 144*t**2. Solve q(v) = 0 for v.
-11, 0
Solve -61 + 3*h + 20*h + 9*h + 2*h**2 + 189 = 0.
-8
Let i(f) be the first derivative of -f**7/168 + f**5/8 - 5*f**4/12 - 13*f**3/3 + 23. Let w(n) be the third derivative of i(n). Find m, given that w(m) = 0.
-2, 1
Let t be (3/7)/(3/21). Let k(c) be the first derivative of -9/2*c - 2/3*c**t - 3*c**2 + 5. Determine n, given that k(n) = 0.
-3/2
Find t, given that 10/3 - 1/3*t**2 + 3*t = 0.
-1, 10
Let h(i) be the third derivative of i**9/12096 - i**7/252 - i**5/60 + 3*i**2. Let d(j) be the third derivative of h(j). Factor d(a).
5*a*(a - 2)*(a + 2)
Let p(q) be the second derivative of q**4/78 - 5*q**3/39 + 6*q**2/13 - 6*q + 5. Factor p(j).
2*(j - 3)*(j - 2)/13
Suppose -q = p - 1, -q = 2*p + 1 - 7. Suppose -d = t - 2*t + 5, 17 = p*t - d. Find i such that 5*i**2 + t*i**2 + 2*i**3 + 2*i**3 = 0.
-2, 0
Let n = 157 - 73. Let t be n/39 + 4/(-26). Determine r, given that 3*r**2 - 4*r**2 - 5*r**t - 3 + 9*r = 0.
1/2, 1
Suppose -619 + 212 = -3*y + 2*l, 3*y - l - 409 = 0. Factor -y*o**2 - 27*o + 68*o**2 + 72*o**2.
3*o*(o - 9)
Let w(z) = -2*z. Let k be w(0). Suppose 5 = y - k. Let -y + 14*m + 1 - 10*m - m**2 = 0. Calculate m.
2
Find v, given that 32/7*v - 24/7 - 2/7*v**3 - 6/7*v**2 = 0.
-6, 1, 2
Let j(b) be the first derivative of 0*b + 1/3*b**2 + 4 + 1/9*b**3. Solve j(m) = 0 for m.
-2, 0
Factor -24/7*p + 0 - 30/7*p**3 - 6/7*p**4 - 48/7*p**2.
-6*p*(p + 1)*(p + 2)**2/7
Let l be 44/10*(44/8 - 3). Let l*j**3 + 24*j**4 + 0*j**5 - 3*j**2 + 3*j**5 - 33*j**4 - 2*j**3 = 0. What is j?
0, 1
Let h(d) be the second derivative of 0 + 1/30*d**5 + 5/6*d**4 + 25/3*d**3 + 2*d + 125/3*d**2. Let h(y) = 0. Calculate y.
-5
Let v(j) be the second derivative of -9*j**6/10 - 9*j**5/40 + 121*j**4/8 - 23*j**3 + 9*j**2 + 229*j. Solve v(b) = 0.
-3, 1/6, 2/3, 2
Let c(h) be the second derivative of -3*h**5/80 - h**4/8 + 5*h**3/8 + 9*h**2/4 + 73*h. Factor c(g).
-3*(g - 2)*(g + 1)*(g + 3)/4
Let d be (-3)/(-27) - 31865/(-122265). Let q = d + -2/247. Let -2/11*i + 2/11*i**3 + q - 6/11*i**2 + 2/11*i**4 = 0. What is i?
-2, -1, 1
Suppose 8/13*r**2 + 62/13*r**4 + 0*r - 128/13*r**3 + 0 = 0. Calculate r.
0, 2/31, 2
Let l(s) be the third de