*7 + 0*k**3 + 0*k - 11*k**2. What is b in x(b) = 0?
0, 1, 3
Let y = -169 - -167. Let t be y + 5/3 - (-875)/1050. Determine g so that t*g**3 - 5/2*g - 1/2*g**2 - 3/2 = 0.
-1, 3
Suppose -3*d - 5 = 2*l + 1, -4*l + 4*d = 12. Let q be (2 - l) + (-4)/2. Solve -3*n**3 + q*n - 1 + 7*n + 7 - n = 0 for n.
-1, 2
Suppose -240*d - 376*d - 482*d = 241*d. Solve d + 136/5*y**2 - 32/5*y - 88/5*y**3 + 14/5*y**4 = 0.
0, 2/7, 2, 4
Let s(g) be the first derivative of -g**6/2 + 12*g**5/5 + 45*g**4 - 418*g**3 + 2415*g**2/2 - 1350*g - 2580. Determine y, given that s(y) = 0.
-9, 1, 2, 5
Suppose -558*y + 25 = -553*y. Let p = 10 - 26/3. Factor -k + 7/3*k**y - 14/3*k**2 - p*k**3 + 4*k**4 + 2/3.
(k - 1)*(k + 1)**3*(7*k - 2)/3
Let x(d) be the third derivative of 0*d + 0*d**3 + 89 - 1/40*d**5 + d**2 - 3/400*d**6 + 1/105*d**7 + 1/60*d**4. Determine o so that x(o) = 0.
-4/5, 0, 1/4, 1
Determine b, given that 2/9*b**5 - 56/3*b**3 - 4/9*b**2 + 36 + 0*b**4 + 54*b = 0.
-9, -1, 2, 9
Let j be (3/(-2))/(21/(-28)*310/93). Find z such that j*z**5 - 3/5*z**2 + 0 + 6/5*z + 3/5*z**4 - 9/5*z**3 = 0.
-2, -1, 0, 1
Let h(t) = 5*t**2 + 308*t - 11851. Let j(m) be the third derivative of -m**5/60 - m**3/6 + 10*m**2 - 6. Let l(w) = 2*h(w) + 14*j(w). Find d such that l(d) = 0.
77
Let s(w) be the second derivative of -4/3*w**4 + 0 + 24*w - 1/10*w**5 + 18*w**2 - 3*w**3. Factor s(j).
-2*(j - 1)*(j + 3)*(j + 6)
Let m(c) = 45*c**2 + 35*c - 65. Let n(p) = -33*p + 171. Let k be n(5). Let d(r) = 5*r**2 + 4*r - 7. Let j(a) = k*m(a) - 55*d(a). Let j(o) = 0. Calculate o.
-1
Suppose 13*m = 716 + 324. Let 183*u**2 + m - 215*u**3 - 280*u - 117*u**2 - 7*u**5 + 55*u**4 + 2*u**5 + 299*u**2 = 0. Calculate u.
1, 4
Let u(k) = -3*k - 20. Let b be u(-10). Factor -25*v - 15*v**2 + 10*v**3 + b*v**2 + 10*v.
5*v*(v + 1)*(2*v - 3)
Let q be 4*-3*6/(-24). What is w in q - 3581*w + 2*w**2 + 3583*w - 3 = 0?
-1, 0
Let x(m) be the first derivative of m**7/1400 - 3*m**5/200 + m**4/20 + 2*m**3/3 + 10*m - 56. Let b(c) be the third derivative of x(c). Solve b(f) = 0.
-2, 1
Let f(j) = 4*j**2 - 274*j + 1272. Let c be f(5). Solve -1/8*b**c - 1/8*b + 3/4 = 0.
-3, 2
Let h(s) be the first derivative of 4*s**3/3 - 36*s**2 + 308*s + 882. Factor h(y).
4*(y - 11)*(y - 7)
Suppose 5*z = -51 + 41. Let j be (-24)/(-10) - (-7)/(35/z). Find m, given that 135*m - 3*m**3 + m**2 + 8*m**j - 141*m = 0.
0, 1, 2
Let k(q) be the first derivative of -q**3/6 - 2199*q**2/2 - 4835601*q/2 + 808. Factor k(d).
-(d + 2199)**2/2
Factor -35*l**2 + 21*l**2 - 140*l - 300 + 10*l**2 + 9*l**2.
5*(l - 30)*(l + 2)
Let o(l) be the first derivative of -14/33*l**3 + 1/55*l**5 + 5/44*l**4 + 126 + 0*l + 0*l**2. Solve o(g) = 0.
-7, 0, 2
Let z(g) be the first derivative of g**5/10 + 23*g**4/2 + 176*g**3/3 - 7038. Solve z(y) = 0.
-88, -4, 0
Let a = 9/197 + 607/8274. Let h(p) be the third derivative of -1/105*p**6 + 0 + 17*p**2 + 0*p - 3/7*p**3 - a*p**5 - 1/2*p**4. Find x such that h(x) = 0.
-3, -1/4
Let j(f) = 2*f**3 + 144*f**2 - 2*f - 144. Let d be j(-72). Let w(k) be the first derivative of 0*k**2 + d*k - 1/2*k**4 + 16/3*k**3 + 33. Factor w(y).
-2*y**2*(y - 8)
Let u(y) be the first derivative of y**6/2 - 15*y**5 - 1575*y**4/4 - 2875*y**3 - 7500*y**2 + 3835. Factor u(n).
3*n*(n - 40)*(n + 5)**3
Let h(s) be the second derivative of -49*s**4/36 + 23*s**3/9 + s**2/2 - 1924*s. Let h(d) = 0. Calculate d.
-3/49, 1
Suppose -x = -12*x + 1155. Find q such that 20*q**3 + x*q**4 - 53*q**4 - 48*q**4 + 24*q**2 = 0.
-3, -2, 0
Suppose 30 = -y + 26. Let v be (-30)/y*((-354)/126 + 3). Determine t, given that -4/7*t - v*t**2 + 8/7 - 3/7*t**3 = 0.
-2, 2/3
Let p(x) be the second derivative of -3/4*x**4 + 0*x**2 + 3/10*x**5 + 1/10*x**6 - 61*x + 0 + 0*x**3. Factor p(u).
3*u**2*(u - 1)*(u + 3)
Let u(v) be the third derivative of v**9/3024 - v**8/240 + v**7/140 - 32*v**3/3 + 151*v**2. Let q(p) be the first derivative of u(p). Factor q(w).
w**3*(w - 6)*(w - 1)
Suppose -h = -2, -2*m - 4*h = -9*h + 2. Let x(v) be the first derivative of -14 - 4/5*v**5 - m*v**3 - 2*v**2 - 3*v**4 + 0*v. Determine c so that x(c) = 0.
-1, 0
Let r(k) be the third derivative of 0*k + 1/160*k**6 - 1/60*k**5 + 1/840*k**7 + 15 + 0*k**3 + 0*k**4 + k**2. Suppose r(z) = 0. What is z?
-4, 0, 1
Suppose 4*q - 722 - 94 = -4*z, 3*q = 3*z + 612. Let u be -2 - 8*(-54)/q. Find n such that 12/17*n**3 + 2/17*n**5 + 8/17*n**2 + 0 + 8/17*n**4 + u*n = 0.
-1, 0
Let h(r) be the first derivative of 15*r**4/4 + 230*r**3/3 + 75*r**2/2 + 1601. Suppose h(n) = 0. What is n?
-15, -1/3, 0
Let y = -2875/8 + 2881/8. Let o(b) be the second derivative of 0 + y*b**4 + 0*b**2 + 14*b + 3/10*b**5 + 1/30*b**6 + 0*b**3. Suppose o(l) = 0. What is l?
-3, 0
Suppose -200*s + 176 = -250 - 174. Suppose -2/11*o**s + 20/11*o**2 + 0 + 0*o = 0. What is o?
0, 10
Let m(z) be the third derivative of 0 + 0*z + 28/27*z**3 + 4/27*z**4 - 1/54*z**5 + 51*z**2 - 1/180*z**6. Let m(k) = 0. Calculate k.
-2, 7/3
Let z(h) be the third derivative of -h**5/60 + 105*h**4/4 - 629*h**3/6 - 6*h**2 + 5. Let z(o) = 0. What is o?
1, 629
Let q(s) be the second derivative of 42*s + 80/7*s**4 + 2048/7*s**2 + 26/35*s**5 + 2/105*s**6 + 0 + 256/3*s**3. Factor q(x).
4*(x + 2)*(x + 8)**3/7
Determine r, given that -2/5*r**5 - 40*r**4 + 44*r**3 + 446*r + 808/5 + 368*r**2 = 0.
-101, -1, 4
Let y(r) = -4 + 0*r + 3 + 0 + 34*r**2 - 42*r**2 - r. Let u(i) = i - 4*i + 7*i - 7*i**2 - 1 - 6*i. Let h(t) = -4*u(t) + 3*y(t). Factor h(p).
(p + 1)*(4*p + 1)
Let i(g) be the first derivative of g + 16 + 5/39*g**3 + 0*g**2 - 1/78*g**4. Let w(u) be the first derivative of i(u). Factor w(p).
-2*p*(p - 5)/13
Let 21*n + 10*n + 34 - 77*n**2 + 44*n**2 + 2 + 8*n - 3*n**4 - 39*n**3 = 0. Calculate n.
-12, -1, 1
Let i(z) = -z**3 + 44*z**2 + 172*z + 160. Let l be (6/(-7))/((-22)/(-154)). Let x(g) = -2*g**3 + 43*g**2 + 174*g + 160. Let m(r) = l*x(r) + 7*i(r). Factor m(a).
5*(a + 2)*(a + 4)**2
Let q be (6 - (-12 + 34)) + (-776)/(-48). Find v such that 0*v**2 + q*v**4 + 0 + 0*v - 1/6*v**3 = 0.
0, 1
Factor -15/7 - 31/7*c - 2/7*c**2.
-(c + 15)*(2*c + 1)/7
Determine u so that 69*u + 183/4*u**2 - 35 + 5/4*u**3 = 0.
-35, -2, 2/5
Suppose -2*q = -3*t - 62, 3*q - 2*t - 35 = 53. Let 30*p + 5*p**3 - q*p**2 - 32*p**2 - 41*p + 236*p - 250 = 0. What is p?
2, 5
Let d(k) be the second derivative of -1/15*k**6 - 2/3*k**4 - 3/5*k**5 + 5 + 32*k**2 + 8*k**3 + 15*k. Factor d(c).
-2*(c - 2)*(c + 2)**2*(c + 4)
Let v(q) be the second derivative of 5*q**4/24 + 155*q**3/12 + 75*q**2/2 + 6*q - 15. Let v(y) = 0. Calculate y.
-30, -1
Find o, given that -102/11*o**3 + 32/11 + 14/11*o**4 - 168/11*o + 224/11*o**2 = 0.
2/7, 1, 2, 4
Let o be (14/(-6))/(28/(-8)). Factor -4/3*k - 5/6*k**2 - o - 1/6*k**3.
-(k + 1)*(k + 2)**2/6
Let r(b) be the third derivative of -b**7/1155 + b**6/110 + 5*b**5/66 + 3*b**4/22 + 3*b**2 + 478. Solve r(w) = 0.
-2, -1, 0, 9
Let c(j) be the first derivative of 20/3*j**3 + 0*j**2 + 0*j - j**4 + 78. Factor c(d).
-4*d**2*(d - 5)
Factor 3696/19*j - 882/19*j**2 - 3872/19.
-2*(21*j - 44)**2/19
Let j(y) be the second derivative of -2*y**7/189 + 4*y**6/45 + 53*y**5/45 + 10*y**4/9 - 176*y**3/27 - 1355*y. Suppose j(f) = 0. What is f?
-4, -2, 0, 1, 11
Let c(r) be the second derivative of -r**7/231 - 8*r**6/165 + 38*r**5/55 - 59*r**4/33 - 25*r**3/11 + 126*r**2/11 - r - 357. Solve c(j) = 0 for j.
-14, -1, 1, 3
Let z(m) = -11*m**3 + 153*m**2 - 4338*m + 39357. Let u(q) = -5*q**3 + 77*q**2 - 2171*q + 19679. Let l(k) = -9*u(k) + 4*z(k). Factor l(p).
(p - 27)**3
Let u be (4/11)/(1794 - 1792). Determine q so that -2/11*q - 6/11*q**2 + 4/11 + u*q**4 + 2/11*q**3 = 0.
-2, -1, 1
Let y be ((-12)/126)/(0 - 10). Let q(f) be the third derivative of 0 + 0*f + y*f**5 - 24*f**2 + 2/21*f**4 + 8/21*f**3. Solve q(n) = 0 for n.
-2
Determine b, given that 1/2*b**2 - 221/2*b + 110 = 0.
1, 220
Let z(n) be the second derivative of n**6/135 - 2*n**5/45 - 5*n**4/27 + 28*n**3/27 - 5*n**2/3 - 3*n - 598. Determine x so that z(x) = 0.
-3, 1, 5
Let v(y) be the second derivative of -1 + 0*y**2 - 15*y - 1/6*y**4 - 5/3*y**3. Solve v(q) = 0.
-5, 0
Let y(b) be the first derivative of b**7/147 + b**6/21 + 4*b**5/35 + 2*b**4/21 - 10*b + 18. Let d(n) be the first derivative of y(n). Factor d(s).
2*s**2*(s + 1)*(s + 2)**2/7
Let x(o) be the third derivative of 0*o - 1/240*o**5 - 28*o**2 + 0 + 0*o**4