 n, given that t(n) = 0.
-2, 2, 8
Let s(u) be the third derivative of 0*u**3 + 3*u + 0 + 2*u**2 - 1/960*u**6 - 1/120*u**5 - 1/64*u**4. Determine g so that s(g) = 0.
-3, -1, 0
Let w(j) be the second derivative of -j**6/45 - 24*j**5/5 + 41*j**4 - 1040*j**3/9 + 149*j**2 - 2072*j. Determine r so that w(r) = 0.
-149, 1, 3
Let i(z) = -z**3 - 3*z**2 - 4. Let u(f) = f**3 + 2*f**2 - 3*f + 4. Suppose g + 5*l - 7 = 0, -5*g - l - 21 = -4*l. Let m(j) = g*u(j) - 4*i(j). Solve m(k) = 0.
-4, -1
Let h(c) be the second derivative of 0 + 280*c - 1/6*c**4 - 7/6*c**3 - c**2 + 3/20*c**5. Solve h(w) = 0.
-1, -1/3, 2
Let j(l) = -l**3 + 16*l**2 + 55*l + 38. Let v be j(19). Suppose -58*g = -v*g. Solve s + 1/2*s**2 + g = 0 for s.
-2, 0
Let i = 325 + -328. Let k(r) = r**3 + 14*r**2 - 27*r - 4. Let b(y) = -y**3 - 15*y**2 + 25*y + 3. Let l(f) = i*k(f) - 4*b(f). Solve l(c) = 0 for c.
-19, 0, 1
Let x(v) be the third derivative of -v**7/168 - 349*v**6/96 - 65*v**5/3 - 865*v**4/24 - 1083*v**2 - v. Suppose x(r) = 0. Calculate r.
-346, -2, -1, 0
Let s(m) = -17*m**3 - 21*m**3 + m - 22*m**2 - 24*m**3 + 63*m**3 - 19. Let p be s(22). Factor 0*t - 1/6*t**5 + 0 + 0*t**2 + 1/2*t**4 - 1/3*t**p.
-t**3*(t - 2)*(t - 1)/6
Suppose 5*c = 3*p - 77, 0*c - 5*p = 3*c + 53. Let l be 3*(-4)/c*4. Determine f, given that -110*f**2 + f**5 + 2*f**3 + 110*f**2 + l*f**4 = 0.
-2, -1, 0
Let d(h) be the second derivative of h**10/105840 + h**9/52920 - h**8/11760 - 5*h**4 - 62*h. Let u(x) be the third derivative of d(x). Factor u(c).
2*c**3*(c - 1)*(c + 2)/7
Solve -22*k**2 + 144/5*k + 78/5*k**4 + 32/5 - 134/5*k**3 - 2*k**5 = 0.
-1, -1/5, 1, 4
Let c be (-233)/(-699) + -1 + 2. Let m(h) be the first derivative of -1/2*h**4 + 0*h + 1/3*h**6 - 21 + 4/5*h**5 + 0*h**2 - c*h**3. Factor m(f).
2*f**2*(f - 1)*(f + 1)*(f + 2)
Determine y, given that 49*y**4 - 1095*y - 310 - 14*y**4 + 238*y**2 + 175*y**2 + 1095*y**3 - 138*y**2 = 0.
-31, -1, -2/7, 1
Let w(h) = -h**3 - 2 + 2 - 1 - 2*h**2 - 9 + 13*h. Let d be w(-7). Factor -5*q**2 - 4*q**4 + 8 + 17*q**2 - d*q + 164*q - 4*q**3.
-4*(q - 2)*(q + 1)**3
Suppose 2426 - 2426 = -5*m. Let i(z) be the second derivative of 0*z**2 - 2/5*z**3 - 11*z - 1/20*z**4 + m. Factor i(l).
-3*l*(l + 4)/5
Suppose -5*k = -4 - 21. Suppose -4*t + 0*t + 13 = -o, 3*t - 31 = k*o. Factor -4*w + 0*w**2 - t - 6*w**2 + 5*w**2 - w**2.
-2*(w + 1)**2
Suppose -5*f - 2*i + 47 = -88, 100 = 3*f + 5*i. Factor 4*g**2 - 13*g + 60 - f*g + 70*g.
4*(g + 3)*(g + 5)
Let q(w) = -w**5 - w**3 - 6*w**2. Let p(m) = 30*m**4 - 120*m**3 - 18*m**2. Let b(s) = p(s) - 3*q(s). What is l in b(l) = 0?
-13, 0, 3
What is b in -209952*b + 885735 + 6966*b**2 + 1/3*b**4 - 248/3*b**3 = 0?
5, 81
Factor -6528*f**2 - 45 + 61*f + 6538*f**2 + 86*f.
(f + 15)*(10*f - 3)
Let x = 1876 - 22511/12. Let n(y) be the first derivative of -7 + 2/3*y - 1/6*y**2 - 2/9*y**3 + x*y**4. Find r such that n(r) = 0.
-1, 1, 2
Suppose 2*l + 105 + 25 = 0. Let p = -61 - l. Suppose -10*q**2 - 5*q + 10*q**3 - 9*q**5 + p*q**5 + 0*q**3 + 5*q**4 + 5 = 0. Calculate q.
-1, 1
Let l be -2 + (-4)/2 - 6 - 288/(-28). Factor 2*j**2 - 2 - 2/7*j**3 + l*j.
-2*(j - 7)*(j - 1)*(j + 1)/7
Let s be (3972/(-17982))/(7/(21/(-4))). Let z = s + 1/999. Let -2/3*j**3 + 1/6 + z*j**4 + j**2 - 2/3*j = 0. Calculate j.
1
Let o(h) be the third derivative of 1/180*h**5 + 0 + h + 1/630*h**7 - 1/9*h**3 - 30*h**2 - 1/120*h**6 + 1/24*h**4. Factor o(k).
(k - 2)*(k - 1)**2*(k + 1)/3
Let v(o) be the second derivative of 3/5*o**5 - 107*o + 0 - 4/3*o**3 - 2/15*o**6 + 0*o**2 + 1/3*o**4 - 2/21*o**7. Determine u so that v(u) = 0.
-2, -1, 0, 1
Let q(j) be the third derivative of -j**6/480 + 83*j**5/48 - 1339*j**4/3 - 5408*j**3/3 + 971*j**2. Let q(o) = 0. Calculate o.
-1, 208
Let w(s) be the first derivative of s**5 + 235*s**4/4 + 995*s**3 + 5285*s**2/2 + 2530*s - 7372. Factor w(u).
5*(u + 1)**2*(u + 22)*(u + 23)
Let y = 167591/56 + -20948/7. Factor -y*p**4 - 60*p - 143/4*p**2 - 225/8 - 4*p**3.
-(p + 1)**2*(p + 15)**2/8
Suppose 4*s - 11*s = -14. Let g be 2/14*7 - -1*s. Factor -j**3 + 2*j**3 + 11*j**g - 8 - 20*j + 332*j**2 - 316*j**2.
4*(j - 1)*(j + 2)*(3*j + 1)
Let x(c) = -13*c**3 + 357*c**2 - 159*c - 81. Let h be x(27). Solve h*v + 0 - 6*v**2 - 6*v**3 - 3/2*v**4 = 0.
-2, 0
What is w in 1047*w - 670 - 4*w**2 + 2298*w + 8*w**2 + 21*w**2 = 0?
-134, 1/5
Suppose -4608/5 + 2688/5*d - 40*d**2 + 4/5*d**3 = 0. What is d?
2, 24
Let b = -143 + 147. Determine r so that 381 + 30*r**3 - 3*r**b + 387 - 768 = 0.
0, 10
Let p(c) be the second derivative of -2/21*c**3 + 7*c**2 + 1/210*c**5 - 10*c - 1/84*c**4 + 0. Let k(o) be the first derivative of p(o). Let k(z) = 0. What is z?
-1, 2
Let y be 6/(-4)*251/1506 - (-2)/3. Let s(k) be the first derivative of -45/8*k**2 + y*k**3 + 0*k + 22. Factor s(j).
5*j*(j - 9)/4
Let m be 2 - 0 - 40/(-20). Determine n, given that -328*n**3 + 532365 + 148176*n + 89337 + 4*n**m + 10584*n**2 + 664*n**3 + 156222 = 0.
-21
Suppose 394*q - 201 - 357 = 230. Determine b so that 3/5*b**3 + 12*b**q + 60*b + 0 = 0.
-10, 0
Let u be 34 + (5 - 7) - (-1 + 3). Determine m so that -14*m + 8*m**3 + 28*m**4 - 24*m + u*m - 28*m**2 = 0.
-1, -2/7, 0, 1
Let v be (-368)/(-414) - 4/18. Suppose -15*j - 33*j + 16*j = 0. Suppose 0*c + j - 8/3*c**3 - v*c**5 + 0*c**2 - 8/3*c**4 = 0. What is c?
-2, 0
Suppose 104*p**2 - 177*p**2 + 69*p**3 - 15*p**4 + 16*p**5 + 91*p**2 - 28*p**5 = 0. What is p?
-3, -1/4, 0, 2
Let q(i) = -7*i**2 + 12*i + 7. Let u(y) be the first derivative of 5*y**3 - 12*y**2 - 12*y - 71. Let c(v) = 9*q(v) + 4*u(v). Factor c(s).
-3*(s - 5)*(s + 1)
Suppose -75*a = -9*a + 3 - 135. Factor -88/3*u - 2/3*u**a - 968/3.
-2*(u + 22)**2/3
Let a(v) be the third derivative of v**8/672 + v**7/420 - 3*v**6/80 - v**5/120 + 5*v**4/12 - v**3 + v**2 + 444. Let a(d) = 0. Calculate d.
-3, -2, 1, 2
Let q(p) be the third derivative of -8*p**2 - 43/90*p**5 + 161/12*p**4 - 49*p**3 + 1/180*p**6 + 0 - 2*p. Factor q(i).
2*(i - 21)**2*(i - 1)/3
Let t(y) be the third derivative of 3*y**8/560 - y**7/35 + 7*y**6/150 - 2*y**5/75 - 2*y**2 + 421*y. Let t(f) = 0. What is f?
0, 2/3, 2
Let k(b) be the third derivative of -22/315*b**5 + 1/180*b**6 - 10/63*b**3 - 9 - b**2 + 47/252*b**4 + 0*b. Determine w so that k(w) = 0.
2/7, 1, 5
Let l be -7983*(-16)/1848*-7. Let c = l + 484. Find r, given that 4/11 - c*r - 4/11*r**2 + 2/11*r**3 = 0.
-1, 1, 2
Suppose 0 = 277*c - 269*c - 192. Let y be 4*(-2)/c*-2. Factor 2/3*o - 2/3*o**3 + y*o**2 - 2/3.
-2*(o - 1)**2*(o + 1)/3
Let a be 0/5 + 6 + -23. Let g be 9*((-119)/42)/a. Factor -g*k**3 + 3 + 3/2*k - 3*k**2.
-3*(k - 1)*(k + 1)*(k + 2)/2
Let o = 3573 - 1911. Let g = o + -1662. Suppose -1 - 3/4*l**4 + g*l - 1/4*l**3 + 7/4*l**2 + 1/4*l**5 = 0. What is l?
-1, 1, 2
Let v(a) be the third derivative of 0*a + 4/15*a**5 - 23/12*a**4 + 0 + 42*a**2 + 5*a**3. Factor v(c).
2*(c - 1)*(8*c - 15)
Let h = -2096/31 + 8415/124. Factor -25 + 11/2*c**3 - 141/4*c**2 + 55*c - h*c**4.
-(c - 10)**2*(c - 1)**2/4
Let l be (-2 + 3)/((-11)/11). Let m be 2 - (-7)/(-154)*(29 + l). Factor -2/11*w**3 - m + 8/11*w + 2/11*w**2.
-2*(w - 2)*(w - 1)*(w + 2)/11
Find k such that 13 - 1/2*k**2 - 25/2*k = 0.
-26, 1
Let z(d) be the second derivative of 10 + 4*d**3 + 1/30*d**6 + 2/5*d**5 + 4*d + 11/6*d**4 + 9/2*d**2. Factor z(t).
(t + 1)**2*(t + 3)**2
Suppose 0 = -30*l + 34*l + v + 739, -4*l - 764 = -4*v. Let i = l + 753/4. Factor -3/2*b + 3/4*b**4 - i*b**2 + 0*b**3 + 0.
3*b*(b - 2)*(b + 1)**2/4
Let y be -4 + (1 + -2 - 5). Let r be (y/(-45))/((-12)/(-12)). Factor -4 + r*j**3 - 2/3*j + 8/9*j**2.
2*(j - 2)*(j + 3)**2/9
Let m(d) be the third derivative of -d**5/300 - 59*d**4/24 - 293*d**3/15 - 2138*d**2. Factor m(c).
-(c + 2)*(c + 293)/5
Let k(n) be the third derivative of -n**7/504 + n**6/24 - n**4/24 + 35*n**3/6 - 141*n**2. Let w(y) be the second derivative of k(y). Solve w(j) = 0.
0, 6
Let d be ((-56)/16 - -3)/((-1)/4). Factor 297*x + 205*x - 471*x**d - 37*x - 70 + 21*x**2 + 55*x**3.
5*(x - 7)*(x - 1)*(11*x - 2)
Let v be 1*231/999 + (-10)/45. Let i = v - -331/222. Factor 0*j + 1/6*j**5 + 0 + 9/2*j**3 + i*j**4 + 9/2*j**2.
j**2*(j + 3)**3/6
Suppose -47 = -108*w - 347 + 732. Suppose 4/15 - 8/15*m**w - 6/5*m + 6/5*m**3 + 4/15*m**2 = 0. Calculate m.
-1, 1/4, 1, 2
Let v be (-11)/110*5 + (-2 - (-8 - (-44)/8)). Suppose 3/4*s**2 - 1/4*s**3 + 5/2*s + v = 0. Calculate 