, -1, 0, 2
Suppose 4*s = 3*x - 9 - 10, -3*x + 17 = -2*s. Suppose -2*a - 18 = -x*w, 2*w = 4*w + a. Find b, given that b**2 - 2*b**2 + b**w - 2*b**2 = 0.
0
Let v(n) = -11*n**3 - 5*n**2 + 11*n + 5. Let a(i) = -5*i**3 - 2*i**2 + 5*i + 2. Let j(z) = -13*a(z) + 6*v(z). Factor j(w).
-(w - 1)*(w + 1)*(w + 4)
Suppose -54*a = -56*a + 106. Factor -16 - 3*f**2 + a + 9*f - 25.
-3*(f - 4)*(f + 1)
Let r(c) be the first derivative of -c**4/2 - 2*c**3/3 + 2*c**2 + 404. Factor r(h).
-2*h*(h - 1)*(h + 2)
Let a(v) be the second derivative of v**4/3 + 2*v**3 + 9*v**2/2 + 25*v - 2. Factor a(u).
(2*u + 3)**2
Let f(s) be the first derivative of s**6/4 - 3*s**5/2 + 15*s**4/8 + 5*s**3/2 - 9*s**2/2 - 472. Find p such that f(p) = 0.
-1, 0, 1, 2, 3
Let o = -4504/12815 - -48/233. Let y = 16/11 - o. Factor -s**2 - 1/5*s**3 - 4/5 - y*s.
-(s + 1)*(s + 2)**2/5
Suppose 46*s + 148 = 148. Suppose 0 + s*y + 1/3*y**2 - 5/6*y**3 = 0. Calculate y.
0, 2/5
Let m(f) = 16*f**2 + 408*f + 10407. Let k(p) = -52*p**2 - 1224*p - 31222. Let g(n) = 3*k(n) + 10*m(n). Factor g(i).
4*(i + 51)**2
Let y(d) be the second derivative of -27*d**4/32 - 55*d**3/16 - 3*d**2/8 - 128*d. Factor y(m).
-3*(m + 2)*(27*m + 1)/8
Let h(q) be the second derivative of q**6/25 - 21*q**5/100 + 3*q**4/20 - 4*q + 3. Determine f so that h(f) = 0.
0, 1/2, 3
Let u = 2/397 - -1147/8734. Let d(p) be the first derivative of u*p**4 + 0*p + 2/33*p**3 - 3 + 6/55*p**5 + 1/33*p**6 + 0*p**2. Find m such that d(m) = 0.
-1, 0
Let d(y) = 4*y**3 - y**2 - 10*y - 2. Let m(t) = -t**2 + 2*t + 2. Let q(c) = d(c) + 3*m(c). Factor q(n).
4*(n - 1)**2*(n + 1)
Let u(i) be the first derivative of -22*i**3/3 - 14*i**2 - 6*i - 95. Factor u(m).
-2*(m + 1)*(11*m + 3)
Let s = -2/945 + 1352/945. Let s + 2/7*l**2 + 12/7*l = 0. Calculate l.
-5, -1
Let c = -8 - -11. Suppose -2 = -c*u + 13. Factor 5*s - u*s - 3*s**3 + 3*s**5.
3*s**3*(s - 1)*(s + 1)
Let u(l) = 2*l**2 - 13*l - 3. Let k be u(11). Let n be k/54*-1 + 2. Factor -2/9*z**3 + 2/3 + 10/9*z + n*z**2.
-2*(z - 3)*(z + 1)**2/9
Let n(s) be the third derivative of -s**5/240 - s**4/24 + 7*s**3/8 - s**2 + 59. Solve n(w) = 0 for w.
-7, 3
Let w(l) be the third derivative of -l**8/8960 + l**7/1120 - l**5/40 - 7*l**4/3 - 20*l**2. Let v(r) be the second derivative of w(r). Factor v(d).
-3*(d - 2)**2*(d + 1)/4
Let h(n) be the third derivative of -5*n**2 - 1/2*n**4 + 4/3*n**3 + 0*n + 1/10*n**6 + 0 - 1/15*n**5 - 2/105*n**7. Factor h(l).
-4*(l - 2)*(l - 1)**2*(l + 1)
Factor 664/11 + 1656/11*d - 10/11*d**2.
-2*(d - 166)*(5*d + 2)/11
Let u(q) be the third derivative of q**8/448 - 3*q**7/56 + 3*q**6/10 + 4*q**5/5 - 47*q**2. Factor u(t).
3*t**2*(t - 8)**2*(t + 1)/4
Let i be (3078/126)/9 - 2/(-7). Let c(p) be the first derivative of 1/6*p**i + 1/2*p - 4 - 1/2*p**2. Factor c(k).
(k - 1)**2/2
Let d be 0/(-2 - -4 - 3). Let o = d - -4. Solve 18*y**3 - 40*y**o - 4*y**2 - 13*y**3 + 18*y**5 + 21*y**3 = 0.
0, 2/9, 1
Let a(t) be the second derivative of t**7/600 - 3*t**6/400 + t**5/100 - 5*t**4/4 + 15*t. Let m(j) be the third derivative of a(j). Factor m(b).
3*(b - 1)*(7*b - 2)/5
Let t(x) be the second derivative of -x**7/105 + 2*x**6/25 - x**5/25 - 2*x**4/3 + 9*x**3/5 - 2*x**2 + 144*x - 1. What is n in t(n) = 0?
-2, 1, 5
Let j(y) = -7*y**3 + 9*y**2 - 5*y + 3. Let x be j(1). Factor 0*h + 1/4*h**4 + 1/4 - 1/2*h**2 + x*h**3.
(h - 1)**2*(h + 1)**2/4
Let q = -245 + 250. Let a(o) be the second derivative of -1/12*o**4 + o**2 + 0 + 1/6*o**3 - q*o. Suppose a(i) = 0. Calculate i.
-1, 2
Suppose 3*m + 4*f + 0*f = 152, 0 = -f + 2. Let t be 2/(-5)*(-10)/m*3. Factor 3/4*g + 3/4*g**2 + 1/4*g**3 + t.
(g + 1)**3/4
Let q = 11788 - 35360/3. Factor 8/9*x - 2/9 - q*x**2 - 2/9*x**4 + 8/9*x**3.
-2*(x - 1)**4/9
Let f(i) be the second derivative of 17/54*i**4 + 7/90*i**5 - 37*i + 0 - i**2 - 5/9*i**3. Suppose f(t) = 0. Calculate t.
-3, -3/7, 1
Let f be -6*62/(-8)*6/(-4). Let z = 70 + f. Factor 0*p**2 + 0*p - z*p**4 - 1/4*p**5 + 1/2*p**3 + 0.
-p**3*(p - 1)*(p + 2)/4
Let q(u) = 2*u - 34. Let j be q(17). Let p(z) be the third derivative of 0*z**3 + 0 + j*z + 1/210*z**7 - 5*z**2 + 0*z**4 + 1/120*z**6 + 0*z**5. Factor p(b).
b**3*(b + 1)
Let r(q) = q**3 + q**2 - q - 1. Let f(o) = 4*o**2 + 2*o - 2. Let v(b) = -f(b) + 2*r(b). Factor v(t).
2*t*(t - 2)*(t + 1)
Let q(r) be the second derivative of -r**5/5 - 5*r**4/3 - 4*r**3 + 7*r - 3. Factor q(o).
-4*o*(o + 2)*(o + 3)
Factor -72/11 + 2/11*w**3 - 64/11*w - 10/11*w**2.
2*(w - 9)*(w + 2)**2/11
Let u(b) be the first derivative of b**4/20 + 29*b**3/5 + 387*b**2/2 + 1849*b/5 - 10. Factor u(r).
(r + 1)*(r + 43)**2/5
Let i(w) = w**3 + 7*w**2 - 14*w - 45. Let r be i(-8). Suppose -z + r*m - 5 = z, 0 = -4*m + 12. Solve -6*h - 3/2*h**z - 9/2 = 0 for h.
-3, -1
Let o(a) be the second derivative of -5*a**4/12 + 205*a**3/6 - a + 141. Factor o(z).
-5*z*(z - 41)
Factor -18/23 - 72/23*j + 26/23*j**2.
2*(j - 3)*(13*j + 3)/23
Suppose 3*j = -3*j + 66. Let v(p) = p**3 - 4*p**2 + 3*p - 4. Let f(z) = -5*z**3 + 20*z**2 - 14*z + 21. Let x(h) = j*v(h) + 2*f(h). Factor x(o).
(o - 2)*(o - 1)**2
Let u(l) be the third derivative of l**7/630 - l**6/180 - l**5/45 + l**4/36 + l**3/6 - 72*l**2. Suppose u(a) = 0. Calculate a.
-1, 1, 3
Let b be (125/(-50))/((-10)/12). What is k in -1/3*k**2 + 0 - 2/3*k + 1/3*k**b = 0?
-1, 0, 2
Solve -44*b + 4*b**2 + 89*b + 7*b + 160 = 0.
-8, -5
Suppose 2*g + 120 = 5*g. Let c be 5*4/g*48/21. Factor 2/7*f**2 - c*f + 8/7.
2*(f - 2)**2/7
Let h(i) = 4*i**3 - 29*i**2 - 16*i + 163. Let l be h(7). Factor -1/2*j + 1/3 + 1/6*j**l.
(j - 2)*(j - 1)/6
Let p = -22 - -29. Suppose -p*y + 9 = -4*y. Find v such that -y*v**3 + 9/2*v - 3/2*v**5 - 9/2*v**4 + 3/2 + 3*v**2 = 0.
-1, 1
Let h(p) be the third derivative of -p**5/15 - 9*p**4/2 - 97*p**2. Factor h(n).
-4*n*(n + 27)
Let c(b) be the first derivative of -2/25*b**5 + 4/15*b**3 + 0*b**2 + 0*b**4 - 18 - 2/5*b. Determine m, given that c(m) = 0.
-1, 1
Let u(a) = -5*a**5 + 6*a**4 - 4*a**3 + 4*a**2 - 4*a + 4. Let t(x) = 7*x**5 - 6*x**4 + 5*x**3 - 5*x**2 + 5*x - 5. Let d(g) = 4*t(g) + 5*u(g). Factor d(z).
3*z**4*(z + 2)
Let y(k) be the third derivative of 5*k**10/6048 - k**9/3024 - k**8/420 - k**7/630 + 3*k**4/8 - 11*k**2. Let u(n) be the second derivative of y(n). Factor u(d).
d**2*(d - 1)*(5*d + 2)**2
Let v = 33434 - 33430. Suppose 1/2*x**5 - x**3 + 2*x**2 - 1 - x**v + 1/2*x = 0. What is x?
-1, 1, 2
Let q(g) = g**2 + 13*g - 24. Let x be q(-17). Let i = x + -41. Factor 3/4*l - 3/4*l**2 - 1/4 + 1/4*l**i.
(l - 1)**3/4
Factor -252501 - 3*k**2 - 84*k - 54*k + 252642.
-3*(k - 1)*(k + 47)
Let m be ((-16)/(-6))/((-2)/(-12)). Suppose 4*b**5 - 2*b**5 - m*b**3 + 15*b + 3*b + 14*b = 0. What is b?
-2, 0, 2
Let h(b) be the second derivative of b**4/12 - 21*b**3 - 2*b - 248. Let h(n) = 0. What is n?
0, 126
Suppose 168*n**3 + 126*n - 48*n**4 - 85*n**2 - 27 - 49*n**2 - 85*n**2 = 0. What is n?
3/4, 1
Suppose 206 = 7*b + 185. Let w(p) be the first derivative of 2/21*p**b + 0*p**2 - 2 - 1/14*p**4 + 0*p. Factor w(r).
-2*r**2*(r - 1)/7
Let w be 9 - (-16)/(-12)*3. Suppose 2*u = 3*h + 1, -2*h = 3*h - w. What is l in -3/2*l**u + 0 + 3/2*l**4 + 3*l - 3*l**3 = 0?
-1, 0, 1, 2
Suppose 5*c - 253 - 112 = 0. Let o = c + -363/5. Factor 0 + 4/5*p**3 + 0*p - 2/5*p**2 - o*p**4.
-2*p**2*(p - 1)**2/5
Let c(l) be the third derivative of -1/1260*l**7 + 1/180*l**6 - 1/180*l**5 + 0*l + 1/12*l**3 + 40*l**2 - 1/36*l**4 + 0. Factor c(n).
-(n - 3)*(n - 1)**2*(n + 1)/6
Let c(t) be the first derivative of t**5/20 - t**4/4 + t**3/2 - t**2/2 + 25*t + 18. Let b(n) be the first derivative of c(n). Solve b(a) = 0.
1
Factor -3*l - 2*l**2 - 2 - 16*l**2 - 127*l**3 - 129*l**3 + 259*l**3 + 20.
3*(l - 6)*(l - 1)*(l + 1)
Let y(m) be the first derivative of 1/36*m**4 + 5*m - 1/3*m**3 + 3/2*m**2 + 5. Let x(q) be the first derivative of y(q). Factor x(s).
(s - 3)**2/3
Determine o, given that 18*o**2 + 2*o**2 - 30 - 5*o**2 + 4*o + 5*o + 6*o**2 = 0.
-10/7, 1
Factor 2209/9 - 94/9*q + 1/9*q**2.
(q - 47)**2/9
Let n = 27 + -24. Determine p so that 2 - 5*p + p - 2*p**2 + n*p + p**3 = 0.
-1, 1, 2
Let d be (8/(-6) - 0)*43/(-172). Let m(n) be the first derivative of -d*n**2 - 2/9*n**3 + 2/3*n + 1/6*n**4 + 1. Factor m(b).
2*(b - 1)**2*(b + 1)/3
Let y be ((-56)/(-12) + -3)/((-22)/((-1716)/15)). Suppose 2/3*o**3 - y*o**2 + 8/3*o**5 - 10/3*o + 22/3*o**4 + 4/3 