Let u(a) = -x(a) - 9*y(a). What is k in u(k) = 0?
0, 15
Let b(w) be the second derivative of w**6/15 - 2*w**5/5 + w**4 - 4*w**3/3 + w**2 + 192*w. Factor b(x).
2*(x - 1)**4
Let j(f) = 3*f**3. Let y be j(1). Let -3*t**2 - t - t - 6*t**y + 2*t**4 + 9*t**2 = 0. Calculate t.
0, 1
Let p = -722 + 725. Let q(a) be the second derivative of 1/160*a**5 - 1/96*a**4 + 0 + 1/16*a**2 - 1/48*a**3 - p*a. Solve q(b) = 0 for b.
-1, 1
Let b(u) be the second derivative of -u**4/84 - 3*u**3/7 - 45*u**2/14 + 550*u. Factor b(v).
-(v + 3)*(v + 15)/7
Let x(l) be the third derivative of -l**7/35 - l**6/8 - l**5/20 + 5*l**4/8 + 3*l**3/2 + 7*l**2 + 2*l. Suppose x(i) = 0. Calculate i.
-3/2, -1, 1
Let o(x) be the first derivative of -2*x**5/55 + 4*x**3/11 + 8*x**2/11 + 6*x/11 - 7. Factor o(n).
-2*(n - 3)*(n + 1)**3/11
Let b(q) = 5*q**2 + 21*q - 30. Let f(a) = -14*a**2 - 65*a + 90. Let z(t) = 11*b(t) + 4*f(t). Let z(k) = 0. Calculate k.
-30, 1
Let q(t) be the first derivative of -7*t**2 - 108*t + 77. Let d be q(-8). Factor -1/7*b**d - 1/7 + 1/7*b**5 + 2/7*b**2 + 1/7*b - 2/7*b**3.
(b - 1)**3*(b + 1)**2/7
Let a be -1 + 1/5 - 468/(-390). Let 0*o**4 - 4/5*o**3 + 2/5*o + 0*o**2 + a*o**5 + 0 = 0. What is o?
-1, 0, 1
Factor -40*w**2 + 4*w**2 + 8 - 20*w**3 + 7356*w**4 + 20*w - 7328*w**4.
4*(w - 1)**2*(w + 1)*(7*w + 2)
Let z(a) = -a**4 - a**2 + a. Let m(w) = 0*w + 4*w - 7*w + 4*w**4 + w**3. Suppose -c + 5*c - 4 = 0. Let u(i) = c*m(i) + 2*z(i). Suppose u(l) = 0. Calculate l.
-1, -1/2, 0, 1
Let k(c) = -46*c**3 - 5*c**2 - 2*c + 1. Let t be k(2). Let d be (-46)/t + 584/238. Determine m so that 54/7 + d*m**2 + 54/7*m + 2/7*m**3 = 0.
-3
Let x(y) be the third derivative of -1/40*y**6 + 43*y**2 + 0*y - 1/210*y**7 + 0 + 1/12*y**4 + 0*y**3 + 1/336*y**8 + 1/60*y**5. Factor x(u).
u*(u - 2)*(u - 1)*(u + 1)**2
Let s be ((-9)/27)/((-1)/(-3)). Let o be (s - 2)/(-6 + 5). Determine j, given that 3*j - j**3 + 8*j**4 - o*j**3 - 14*j**3 + 12*j**2 - 5*j = 0.
0, 1/4, 1
Let d(s) be the first derivative of s**4/5 - 16*s**3/15 - 14*s**2/5 + 8*s - 64. Solve d(j) = 0.
-2, 1, 5
Let w(q) be the second derivative of -q**4/30 - 23*q**3/15 - 12*q**2 - 9*q - 36. Factor w(j).
-2*(j + 3)*(j + 20)/5
Let j(y) = y**4 + y**3. Let x(f) = -6*f**5 - 8*f**3 + 3*f**5 - 6*f**2 - 21*f - 11*f**4 + 12 + 27*f**3. Let t(l) = -5*j(l) - x(l). Suppose t(c) = 0. Calculate c.
-4, -1, 1
Let h = -1256 - -8794/7. Factor -h*v**2 + 2/7 + 2/7*v**3 - 2/7*v.
2*(v - 1)**2*(v + 1)/7
Suppose 9*o + 20 = 65. Suppose -5*l - 4*i + 17 = -o, 2*i - 6 = 0. Factor 2/3*s**l + 2/3*s - 4/3.
2*(s - 1)*(s + 2)/3
Let m(n) be the first derivative of -21/2*n**2 + 2*n**3 - 12*n + 6. Solve m(y) = 0 for y.
-1/2, 4
Suppose 9*s - 374 = -293. Let t(b) be the second derivative of -2/9*b**3 - 17/36*b**4 + s*b + 0*b**2 - 1/15*b**5 + 0. Let t(m) = 0. What is m?
-4, -1/4, 0
Let f(s) be the second derivative of 2*s**3/3 - 5*s**2/2 + 36*s. Let k be f(2). Factor 9*g + 3/4*g**k - 6 - 9/2*g**2.
3*(g - 2)**3/4
Let h(m) be the second derivative of -m**4/54 + 11*m**3/27 + 26*m**2/9 - m - 9. Factor h(k).
-2*(k - 13)*(k + 2)/9
Let r(y) be the third derivative of -y**6/40 - y**5/5 - y**4/2 - 26*y**2. Factor r(o).
-3*o*(o + 2)**2
Let h(t) be the third derivative of -t**5/210 - t**4/84 + 2*t**3/21 + 84*t**2. Factor h(a).
-2*(a - 1)*(a + 2)/7
Let i(u) = u**2 - 8*u + 13. Let s be i(6). Let y be (3/15)/s - (-1 - -1). Factor 3/5*a**4 - 3/5*a + 2/5*a**3 - y - 2/5*a**2 + 1/5*a**5.
(a - 1)*(a + 1)**4/5
Let r(b) be the third derivative of 0 + 0*b - 12*b**2 - 1/6*b**4 - 1/30*b**5 + 0*b**3. Find z such that r(z) = 0.
-2, 0
Let b(r) = -r**2 - r. Let a(y) = -y**2 - 188*y + 8649. Let u(j) = -a(j) + 2*b(j). Let u(c) = 0. Calculate c.
93
Factor -48*l**2 + 39*l - 39*l**2 + 84*l**2.
-3*l*(l - 13)
Let w = -1 - -9. Suppose -w*y + 4*y = -16. Suppose 4*l**2 - 7*l + l - 3*l**2 + y + 2*l = 0. What is l?
2
Suppose -1264 = -4*l + 4*p + 788, 3*p - 1041 = -2*l. What is j in 20*j + 20*j**2 + 516 - l + 5*j**3 = 0?
-2, 0
Let c be ((0*10/(-30))/1)/(2 - 4). Factor 0*l - 1/10*l**3 + 3/10*l**2 + c.
-l**2*(l - 3)/10
Let z(j) be the first derivative of j**4/6 + 4*j**3/3 - 5*j**2 - 200*j/3 + 148. Determine s, given that z(s) = 0.
-5, 4
Let u(m) be the second derivative of -m**8/3360 + 2*m**7/1575 + m**6/450 - 25*m**4/12 - 9*m. Let k(w) be the third derivative of u(w). What is h in k(h) = 0?
-2/5, 0, 2
Let g(u) be the third derivative of -u**6/600 + u**5/100 + u**4/30 - 170*u**2. Factor g(i).
-i*(i - 4)*(i + 1)/5
Let l(t) = 39*t - 7. Let z(p) = 26*p - 5. Let g(j) = -5*l(j) + 7*z(j). Let h be g(-1). Suppose 17 - 6 - h + 2*n**2 = 0. What is n?
-1, 1
Let o(b) be the second derivative of b**6/18 + 17*b**5/30 + 4*b**4/3 + 7*b**3/9 - 5*b**2/6 - 376*b. Solve o(z) = 0 for z.
-5, -1, 1/5
Let -5 + 2*b**3 + 0 + 16*b**2 + 0 + 5 = 0. What is b?
-8, 0
Let y be (-183)/305*(-6 + 1). Let x(v) be the second derivative of 1/3*v**4 + 0 + 3/5*v**5 + 2/21*v**7 + 2/5*v**6 + 6*v + 0*v**2 + 0*v**y. Factor x(i).
4*i**2*(i + 1)**3
Let y(c) = -9*c**2 + 6*c + 15. Let o(v) = v**2 - 1. Let u(j) = -j**2 + j. Let k be u(0). Suppose -5*w + 2*w + 18 = k. Let r(n) = w*o(n) + y(n). Factor r(m).
-3*(m - 3)*(m + 1)
Let k(q) be the third derivative of 10/3*q**3 + 1/24*q**6 + 19*q**2 - 5/336*q**8 + 0*q + 0 + 0*q**4 + 1/14*q**7 - 7/12*q**5. Find u, given that k(u) = 0.
-1, 1, 2
Let u = -437 + 440. Let c(r) be the first derivative of 1 + 12/7*r**2 + 6/7*r**u + 8/7*r. Determine q so that c(q) = 0.
-2/3
Factor 43*d**2 - 18*d**2 - 10*d - 24*d**2 + 9.
(d - 9)*(d - 1)
Suppose 4*q + 0*r = 3*r - 7, 4*q + 2 = 2*r. Solve -3*m**5 + q*m**2 + 0*m**4 + 5*m**5 - 2*m**4 - 2*m**3 = 0.
-1, 0, 1
Let l be -2 + -6*(-34)/6. Suppose z - l = -z. Factor 3*i**2 - 32 + z*i - 6*i**2 + i**2.
-2*(i - 4)**2
Let w(m) be the third derivative of -m**6/40 + 162*m**5/5 - 17496*m**4 + 5038848*m**3 - 55*m**2. Find r such that w(r) = 0.
216
Determine y so that -13*y + 6*y + 20*y**3 - 6*y + 48*y**2 + 29*y = 0.
-2, -2/5, 0
Let n be (-9 - -11) + 0/(-2)*-1. Suppose 4*a + a + 5*g = 35, 4*a + 2*g = 20. Factor -18 + 2/3*i**a - 6*i**n + 18*i.
2*(i - 3)**3/3
Let r be (-2 + -1)*-1 - 0. Let q be (-4)/((9 - r)/(-3)). Determine d so that 20*d**2 + 21*d**4 + 2*d + 27*d**3 + 6*d**5 - 5*d**q + d = 0.
-1, -1/2, 0
Let f = -11 - -11. Let t = 39/5 + -151/20. Let t*v + f + 1/4*v**2 = 0. What is v?
-1, 0
Let k be (-60)/(-8) + -1*(-6)/(-4). Factor -12*h**2 + 3*h + 0*h + 3*h**3 - k + 10*h + 2*h.
3*(h - 2)*(h - 1)**2
Let c be (215/180 - 84/189)/((-3)/(-10)). Let -1/4*q**2 + c - 3/4*q = 0. Calculate q.
-5, 2
Solve -1/4*s + 1/4*s**3 + 3/4*s**2 - 3/4 = 0 for s.
-3, -1, 1
Let w be (-22427)/(-1094) - (-1 - -21). What is j in -1 + 3/2*j - w*j**2 = 0?
1, 2
Suppose 30*r = 25*r. Factor r - 16/7*m**4 + 4/7*m**2 + 0*m + 10/7*m**5 + 2/7*m**3.
2*m**2*(m - 1)**2*(5*m + 2)/7
Let c(z) = z - 3. Let l be c(2). Let h be 26/(-10) + 1 + (1 - l). Factor -2/5 + h*f**2 - 2/5*f**3 + 2/5*f.
-2*(f - 1)**2*(f + 1)/5
Let a be ((-120)/16 - -7)/((-7)/42). Factor 2/9*b**4 + 0 - 2/9*b**2 - 2/9*b + 2/9*b**a.
2*b*(b - 1)*(b + 1)**2/9
Let n(y) = -y**2 + 5*y - 4. Let m be n(4). Let r be (-4)/(660/(-305)) + 5/(-3). What is i in 1/11*i + r*i**4 + m - 1/11*i**5 + 0*i**3 - 2/11*i**2 = 0?
-1, 0, 1
Suppose -4*u = 5*w - 77, 4*w = u + 4 + 3. Let v = u + -15. Let b(n) = -n**2 - 2. Let k(f) = -f**2 - f - 3. Let i(l) = v*k(l) + 3*b(l). Solve i(r) = 0.
0, 2
Let k(i) be the first derivative of 7*i**6/30 - 22*i**5/25 - 5*i**4/4 + 4*i**3/15 - 143. Determine j so that k(j) = 0.
-1, 0, 1/7, 4
Let p(x) = 7*x**3 + 13*x**2 + 2*x. Suppose -2 = -4*f - 2*j, j - 5 + 2 = -f. Let z(w) = 29*w**3 + 51*w**2 + 9*w. Let r(c) = f*z(c) + 9*p(c). Factor r(m).
5*m**2*(m + 3)
Let 3/2*g**4 + 23/2*g**3 + 5/2*g + 31/2*g**2 - 3 = 0. What is g?
-6, -1, 1/3
Let q = 41 + -37. Determine m so that 7 - q*m - m + 3 - 5*m**2 = 0.
-2, 1
Find m such that 2898*m**2 - 25*m**4 - 240*m**3 + 4*m**5 - m**4 + 6*m**4 - 4*m**4 - 4500*m - 698*m**2 = 0.
-9, 0, 5
Let z = -115679/120 + 964. Let n(v) be the second derivative of 0*v**3 + 0 + 0*v**2 - 1/180*v**6 + 1/36*v**4 - z*v**5 - 9*v. Solve n(u) = 0 for u.
-2, 0, 1
Let s(q) be the second derivative of -4*q**2 + 0*q**3 - 9*q + 0 + 3/8*q**4 - 1/20*q**5. Let w(o) be the first derivative of s(o). Find g, given that w(g) = 0.
0, 3
Let c(p) be the second derivative of p**4/84 +