u(d) = 0?
-1, 1
Let f(p) be the third derivative of -p**8/252 - 64*p**7/315 - 164*p**6/45 - 902*p**5/45 + 2057*p**4/18 + 5324*p**3/9 - 394*p**2. Find x such that f(x) = 0.
-11, -1, 2
Let f = 91 - 75. Solve 2*o**3 - 9*o**4 + 14*o**2 - 17*o**3 - f*o - 8 + 12*o + 16*o = 0.
-2, -1, 2/3
Suppose -n - y - 2 = 0, -2*y - 4 = 4. Solve -13*r + 36*r**2 - 31*r**n + 20 - 16*r + 9*r = 0 for r.
2
Let k(t) = t**3 - 6*t**2 - 12*t - 32. Let n be k(8). Factor -2/5*c**3 + n + 4/5*c**2 - 2/5*c.
-2*c*(c - 1)**2/5
Let u(r) be the second derivative of r**4/48 - 25*r**3/12 + 625*r**2/8 - 12*r. Factor u(t).
(t - 25)**2/4
Let p(n) be the first derivative of n**5 + 5*n**4/4 - 5*n**3/3 - 5*n**2/2 + 210. Factor p(g).
5*g*(g - 1)*(g + 1)**2
Let n be (6 - 4) + (14 - 11 - 50/14). Factor -n*f**2 + 8/7*f + 8/7 - 6/7*f**3.
-2*(f - 1)*(f + 2)*(3*f + 2)/7
Let y(k) = 5*k - 210. Let g be y(42). Factor 24/5*o**2 + g + 72/5*o + 2/5*o**3.
2*o*(o + 6)**2/5
Find x, given that 0*x - 27/4*x**4 + 0*x**2 + 3/4*x**3 + 0 = 0.
0, 1/9
Suppose -4*x = -5*b + 4 + 5, b - 2*x = 3. Let w(l) be the first derivative of -l**2 + 0*l + 2/3*l**3 + b. Factor w(q).
2*q*(q - 1)
Let l(q) be the first derivative of -q**8/1260 - q**7/252 - q**6/270 + 20*q**3/3 + 26. Let z(b) be the third derivative of l(b). Factor z(h).
-2*h**2*(h + 2)*(2*h + 1)/3
Let o(f) = f**3 - 4*f**2 + 6*f - 3. Let m be o(3). Let v be (m/9)/(4/42). Find l such that 2*l**2 + v + 1 - 7*l - l = 0.
2
Let g(d) = 3*d**2 + 3*d + 20. Let n be g(-6). Let k be -2 - ((-2)/(-11) - 328/n). Factor -2/5*b + 0 + 4/5*b**4 - k*b**2 + 0*b**3 + 2/5*b**5.
2*b*(b - 1)*(b + 1)**3/5
Suppose -w + 3*w - 6 = 0. Let b(j) be the first derivative of 3*j**2 + j - 5*j**2 - 3*j**w + 2*j**3 + 3*j**2 - 1. Factor b(l).
-(l - 1)*(3*l + 1)
Factor 46*z + 36 + 2*z**2 - 79*z - 5*z**2.
-3*(z - 1)*(z + 12)
Let r(d) = -d**3 - 7*d**2 + 8*d + 2. Let z = -19 + 11. Let u be r(z). Factor -x**4 + 5*x**3 - u*x**2 - 3*x**4 + x**2.
-x**2*(x - 1)*(4*x - 1)
Let p(n) be the second derivative of 0*n**2 + 0*n**6 - 2*n + 0*n**4 - 4 + 1/45*n**5 - 1/189*n**7 - 1/27*n**3. Factor p(w).
-2*w*(w - 1)**2*(w + 1)**2/9
Factor -100/7*z**3 + 0*z - 2/7*z**4 - 14*z**2 + 0.
-2*z**2*(z + 1)*(z + 49)/7
Let f = -2196 + 2200. Let q(n) be the first derivative of -8*n - 2/3*n**3 - f - 4*n**2. Factor q(w).
-2*(w + 2)**2
Let k be (-4 - 65/(-3)) + -2. Let x = 17 - k. Find y such that y**3 - 5/3*y**2 + 4/3 - x*y = 0.
-1, 2/3, 2
Let n(v) be the second derivative of v**8/2520 - v**6/540 + 17*v**3/6 + 12*v. Let b(c) be the second derivative of n(c). Factor b(a).
2*a**2*(a - 1)*(a + 1)/3
Let l(h) be the first derivative of -h**3/3 - 4*h**2 - 12*h + 112. Factor l(i).
-(i + 2)*(i + 6)
Suppose 3 - 1/2*s**4 + 3/2*s**3 - 11/2*s + 3/2*s**2 = 0. What is s?
-2, 1, 3
Let q(l) be the second derivative of 3*l**5/20 - 2*l**4 + 7*l**3/2 + l - 5. Determine y so that q(y) = 0.
0, 1, 7
Let a(q) be the first derivative of 9*q**4/5 + 7*q**3/5 + 3*q**2/10 - 94. Find w, given that a(w) = 0.
-1/3, -1/4, 0
Let y(j) be the second derivative of 5*j**7/21 - 23*j**6/6 + 49*j**5/4 - 185*j**4/12 + 15*j**3/2 - j + 60. Solve y(k) = 0 for k.
0, 1/2, 1, 9
Let b(g) be the second derivative of 5*g**7/84 - g**6/4 - g**5/4 + 5*g**4/4 + 5*g**3/12 - 15*g**2/4 + 394*g - 2. Solve b(z) = 0.
-1, 1, 3
Let l(b) be the second derivative of -b**6/24 - b**5/4 - 5*b**4/12 + 7*b**2/2 + 10*b. Let q(g) be the first derivative of l(g). Suppose q(v) = 0. What is v?
-2, -1, 0
Let r(y) = -2*y**3 + 2*y**2 - 6. Let s be r(-2). Let j be 6/s - 1/(-6). Solve 0 - 1/2*g**2 + j*g**3 - g = 0 for g.
-1, 0, 2
Determine n so that 35/6 - 1/6*n**2 + 1/3*n = 0.
-5, 7
Let m(t) be the first derivative of -t**4 - 52*t**3/3 + 92*t**2 - 128*t - 140. Let m(h) = 0. What is h?
-16, 1, 2
Let t(v) be the first derivative of v**4/4 - 2*v**3/3 - 5*v**2/2 + 6*v + 260. Factor t(o).
(o - 3)*(o - 1)*(o + 2)
Let p(v) = v**3 - 31*v**2 + 59*v - 27. Let h be p(29). Factor -w - 1/2*w**h + 0.
-w*(w + 2)/2
Suppose 21 = 7*j + 7. Determine f so that 3/4*f - 3/4*f**j + 3/2 = 0.
-1, 2
Let a(j) be the third derivative of j**9/3780 - j**8/1120 - j**7/630 + 7*j**4/24 - 16*j**2. Let w(o) be the second derivative of a(o). Factor w(v).
2*v**2*(v - 2)*(2*v + 1)
Suppose -9*o + 14 = -7*o. Let a(w) be the second derivative of -4/135*w**6 - 1/27*w**4 + 4*w - 1/189*w**o + 0*w**2 + 0*w**3 + 0 - 1/18*w**5. Factor a(u).
-2*u**2*(u + 1)**2*(u + 2)/9
Suppose 6*g - g + 2*d = 123, 0 = -g + d + 26. Let l be 55/g - (-2)/(4/(-2)). Let -3/5*a + 3/5*a**3 + l - 9/5*a**2 + 3/5*a**4 = 0. Calculate a.
-2, -1, 1
Suppose 5*y = 15, 28 = b - 3*y + 8*y. Factor 0 - 15*l**2 + 0 + b*l**2.
-2*l**2
Let m(t) be the third derivative of -1/108*t**4 + 1/540*t**6 + 1/27*t**3 - t**2 + 0*t - 1/270*t**5 + 0. Solve m(o) = 0.
-1, 1
Let b(a) be the first derivative of 15*a**4/16 - 3*a**3 + 27*a**2/8 - 3*a/2 - 28. Find m such that b(m) = 0.
2/5, 1
Let t(k) = 22*k - 11 + 2*k - 3*k + k**2 - 11*k. Let r be t(-11). Factor -1/2*m**5 - m**4 + 0*m**3 + 0*m + 0*m**2 + r.
-m**4*(m + 2)/2
Suppose -11*z = -832 + 293. Suppose z*i = 45*i + 8. Factor -3/5*f**i - 3/5*f + 3/5*f**3 + 0 + 3/5*f**4.
3*f*(f - 1)*(f + 1)**2/5
Determine i so that 1/2*i**3 + 0*i + 0 + i**2 = 0.
-2, 0
Let x(z) be the second derivative of z**5/4 + 5*z**4 - 65*z**3/6 - 44*z. Let x(m) = 0. What is m?
-13, 0, 1
Let f(i) be the first derivative of i**3/21 - i**2/2 - 44*i/7 - 561. Factor f(l).
(l - 11)*(l + 4)/7
Let j(b) = b**3 + 5*b**2 + 4*b - 1. Let f be j(-3). Let -x**f - 25*x**3 - 12*x**4 - x**5 - x**5 + 10*x**3 - 6*x**2 = 0. Calculate x.
-2, -1, 0
Factor 0 - 7/3*d - d**3 + 22/3*d**2.
-d*(d - 7)*(3*d - 1)/3
Suppose -8 = -4*x + 2*w + 2*w, -4*x + 3*w = -9. Let t(n) be the second derivative of -1/7*n**2 + 1/28*n**5 + 1/42*n**4 + 0 - 5/42*n**x - n. Factor t(g).
(g - 1)*(g + 1)*(5*g + 2)/7
Factor 98 - 42 - 840*w**2 + 239*w - 419*w - 85*w**3 + 34 - 485*w.
-5*(w + 1)*(w + 9)*(17*w - 2)
Let k(g) = 8*g**4 - 18*g**3 + 7*g**2 + 3. Let q(u) = 95*u**4 - 215*u**3 + 85*u**2 + 35. Let x(z) = 35*k(z) - 3*q(z). Find i, given that x(i) = 0.
0, 1, 2
Let z(q) be the third derivative of 0*q - 1/270*q**6 - 1/1512*q**8 + 0 - 1/315*q**7 - 25*q**2 + 1/135*q**5 + 1/36*q**4 + 1/27*q**3. Find r such that z(r) = 0.
-1, 1
Let v(c) be the first derivative of -c**6/540 - c**5/90 - c**3 + 23. Let h(y) be the third derivative of v(y). Factor h(x).
-2*x*(x + 2)/3
Solve -40/7*r**4 - 4*r**3 - 4/7*r**5 + 72/7*r**2 + 0*r + 0 = 0.
-9, -2, 0, 1
Let c be (9/108*15)/(125/40). Factor 0*h + 3/5*h**3 - 1/5*h**4 + 0 - c*h**2.
-h**2*(h - 2)*(h - 1)/5
Let h(p) be the third derivative of -p**7/4200 + p**5/200 + p**4/60 - p**3/3 - 13*p**2. Let g(w) be the first derivative of h(w). Factor g(u).
-(u - 2)*(u + 1)**2/5
Find t such that -640*t + 32*t**2 - 1480*t + 52340 - 27*t**2 + 172380 = 0.
212
Factor -4*g**4 + 6*g**3 - 6*g**3 + 14*g**2 + 2*g**2 - 12*g**3.
-4*g**2*(g - 1)*(g + 4)
Determine i, given that 7 + 112*i + 7 + 12*i**2 - 33 - 4*i**4 - 53*i**3 - 61 + 13*i**3 = 0.
-10, -2, 1
Let s(o) be the first derivative of -3*o**4/4 - 13*o**3/3 - 6*o**2 - 129. Factor s(v).
-v*(v + 3)*(3*v + 4)
Let n be 39/72 + 1/8. Let h(w) be the first derivative of 5/3*w**2 + 1/9*w**6 + n*w + 5/3*w**4 + 20/9*w**3 + 5 + 2/3*w**5. Find d such that h(d) = 0.
-1
Factor -88/5*t + 242/15*t**2 + 24/5.
2*(11*t - 6)**2/15
Let s be (-12)/(-54) + 76/(-18). Let w be (-66)/(-20) + 3*s/(-60). Determine y so that 1/2*y**3 + 15/2*y + 9/2 + w*y**2 = 0.
-3, -1
Let t(q) be the third derivative of q**5/30 + q**4/3 - 39*q**3 - 586*q**2. Factor t(r).
2*(r - 9)*(r + 13)
Let k = 153 - 149. Let u(m) be the second derivative of -1/6*m**2 + 1/36*m**4 - 2/9*m**3 + 1/15*m**5 + 0 - k*m. Factor u(d).
(d - 1)*(d + 1)*(4*d + 1)/3
Solve -1/4*p**2 - 15/4*p + 0 = 0.
-15, 0
Let p = 380 + -374. Let u(j) be the third derivative of 1/180*j**p - 9*j**2 + 2/45*j**5 + 0*j + 0*j**4 + 0*j**3 + 0. Factor u(n).
2*n**2*(n + 4)/3
Let h(k) be the first derivative of 0*k**2 + 1/12*k**3 + 1/8*k**4 + 0*k + 1/20*k**5 - 3. Solve h(c) = 0.
-1, 0
Suppose -k - 3*m = -7, -2666*k + 4*m = -2667*k + 8. What is x in 0*x**2 + 0 + 1/3*x**5 + 0*x - 2/3*x**k + 0*x**3 = 0?
0, 2
Let b(v) be the first derivative of v**7/84 - v**6/60 - v**5/20 + v**4/12 + v**3/12 - v**2/4 + 6*v + 11. Let r(n) be the first derivative of b(n). Factor r(z).
(z - 1)**3*(z +