(m + 1)**2/3
Suppose -20*c**4 + 77/2*c**3 + 2*c**2 + 3/2*c**5 + 0 - 22*c = 0. What is c?
-2/3, 0, 1, 2, 11
Let j(d) be the first derivative of -d**6/18 + 22*d**5/15 - 97*d**4/12 - 88*d**3/3 - 24*d**2 + 7449. Determine o so that j(o) = 0.
-1, 0, 12
Let d(o) be the first derivative of o**4/3 + 500*o**3/3 + 23562*o**2 + 139876*o/3 - 1005. Factor d(z).
4*(z + 1)*(z + 187)**2/3
Let u(k) be the third derivative of -5*k**8/252 + 11*k**7/18 + 233*k**6/72 + 197*k**5/36 + 115*k**4/72 - 55*k**3/9 + 6*k**2 - k + 16. What is h in u(h) = 0?
-1, 1/4, 22
Let n(d) = 3*d**2 + 17*d - 62. Let o be n(3). Determine r so that -2/3*r**3 + o*r + 2*r**2 - 160/3 = 0.
-5, 4
Let w(f) be the third derivative of 0 - 1/20*f**5 + 0*f + 145*f**2 - 3528*f**3 + 21*f**4. Factor w(u).
-3*(u - 84)**2
What is s in 645888 + 699*s - 3*s**2 + 10*s**2 - 4*s**2 - 1241*s - 2242*s = 0?
464
Let i be ((-5)/3 - 1)*(-559845)/10010. Factor -6/7 + i*y - 45414/7*y**2.
-6*(87*y - 1)**2/7
Let i(o) be the third derivative of -o**7/42 - 25*o**6/8 + 100*o**5/3 - 42*o**2 - 2*o + 33. Factor i(w).
-5*w**2*(w - 5)*(w + 80)
Let g(i) = 102*i - 429 + 2 + 19 - 99 - 102. Let h be g(6). Determine f, given that 12/7*f**4 - 1/7*f**5 - 33/7*f + 52/7*f**2 + 8/7 - 38/7*f**h = 0.
1, 8
Let n(c) be the second derivative of c**5/50 + c**4 - 21*c**3/5 - 5292*c**2/5 - 3572*c. Factor n(r).
2*(r - 12)*(r + 21)**2/5
Let b be 12/(-30)*(-15)/36. Let t(c) be the first derivative of 0*c + b*c**6 - 3/4*c**4 + 12 - c**2 + 5/3*c**3 - 1/5*c**5. Find o such that t(o) = 0.
-2, 0, 1
Suppose 77 = -k + 79. Suppose -4*u + 4 = -k*p, 5*p = -4*u + 13 + 5. Factor 8/3*w + 8 + 2/9*w**u.
2*(w + 6)**2/9
Let y = -478657/11 + 43517. Solve 12/11*g**4 + 2/11*g**5 - y*g**3 + 0 + 0*g + 16/11*g**2 = 0 for g.
-8, 0, 1
Let c be (15 - 3) + (-3 - -3)/(-13). Let a(l) be the first derivative of -10/3*l**3 + c*l**2 - 32 - 8*l. Let a(j) = 0. Calculate j.
2/5, 2
Let q(d) be the third derivative of -18*d**2 - 13/36*d**4 + 0 + 0*d + 22/9*d**3 + 1/90*d**5. Solve q(w) = 0 for w.
2, 11
Let z be (-10 - -3) + (-13 - (-549)/27). Factor 1/3*s**3 - z*s - 37/3*s**2 + 37/3.
(s - 37)*(s - 1)*(s + 1)/3
What is g in 0 + 32*g + 44/7*g**2 + 2/7*g**3 = 0?
-14, -8, 0
Let t**3 - 8/5 - 2/5*t**4 - 1/5*t**5 + 2*t**2 - 4/5*t = 0. What is t?
-2, -1, 1, 2
Let r(p) be the first derivative of -p**5 - 1155*p**4/4 - 29645*p**3 - 2282665*p**2/2 - 1241. Factor r(o).
-5*o*(o + 77)**3
Let q(s) be the third derivative of -5651522*s**7/105 - 482447*s**6/15 - 82369*s**5/10 - 14063*s**4/12 - 2401*s**3/24 + 1384*s**2. Factor q(k).
-(82*k + 7)**4/4
Let r(z) be the third derivative of -1/48*z**6 - 141/16*z**4 + 3*z**2 + 0 - 11*z - 91/120*z**5 - 27/4*z**3. Factor r(p).
-(p + 9)**2*(5*p + 1)/2
Let p be 1950/45 - 8/6. Suppose 18*v + p = 32*v. Factor -14/3*b - 10/3*b**2 - 2 - 2/3*b**v.
-2*(b + 1)**2*(b + 3)/3
Let z(t) = 155*t**3 + 1365*t**2 + 5265*t + 5940. Let d(g) = 7*g**3 + 62*g**2 + 239*g + 270. Let y(r) = 45*d(r) - 2*z(r). Determine f so that y(f) = 0.
-6, -3
Let n(h) = -54*h - 2430. Let a be n(-45). Let r(o) be the third derivative of 0*o - 5/6*o**4 + a*o**3 - 1/3*o**5 - 1/24*o**6 + 9*o**2 + 0. Factor r(t).
-5*t*(t + 2)**2
Let o(g) be the second derivative of -g**6/1980 + g**5/165 - g**4/33 + 6*g**3 + 5*g - 9. Let d(h) be the second derivative of o(h). Factor d(y).
-2*(y - 2)**2/11
Let s = -4028 + 4028. Let a(u) be the second derivative of -1/42*u**4 + s + 10*u + 0*u**3 + 4/7*u**2. Factor a(d).
-2*(d - 2)*(d + 2)/7
Let q(w) be the first derivative of -18*w**5/5 + 181*w**4 + 1406*w**3/3 - 1308*w**2 + 504*w + 4383. Let q(a) = 0. Calculate a.
-3, 2/9, 1, 42
Suppose 492 = -9*t + 510. Let u be ((-6)/5)/((-3)/40). Factor -3*d**t + 3*d + 4*d - d**2 + 13*d - u.
-4*(d - 4)*(d - 1)
Let l be 7 - (-10 - 198/(-9)). Let b be (l/25)/(18/(-216)). Suppose 16/5 + 24/5*y + 2/5*y**3 + b*y**2 = 0. What is y?
-2
Factor 90 + 2*b**2 + 52*b + 79 - 331 - 300.
2*(b - 7)*(b + 33)
Let o(n) be the third derivative of n**5/300 + n**4/12 - 4*n**3/5 + 1433*n**2. Factor o(y).
(y - 2)*(y + 12)/5
Let w(g) be the first derivative of 25 - 5*g**4 - 26*g**2 + 18*g**2 + 4*g**3 + 6*g**4. Determine n so that w(n) = 0.
-4, 0, 1
Suppose -4*x + 3*r - 185 = 0, 85 = -x - x + 3*r. Let o = -20 - x. Factor 12*u**2 - 8*u**3 + 2*u**4 + 4 + 18*u**5 - 10*u - 48*u**2 + o*u**4.
2*(u - 1)*(u + 1)**3*(9*u - 2)
Let k(v) = -v**3 + 8*v**2 + 6*v + 37. Let b be k(9). Suppose -10*z = b - 40. Factor l + 1/3*l**z - l**2 - 1/3.
(l - 1)**3/3
Determine w so that -712/3*w**2 + 0 - 1/3*w**3 - 126736/3*w = 0.
-356, 0
Let d(r) be the second derivative of -r**6/70 - 3*r**5/28 + 3*r**4/2 + 90*r**3/7 - 324*r**2/7 - 1306*r. Suppose d(z) = 0. Calculate z.
-6, 1, 6
Let u(j) = 79*j - 1341. Let f be u(17). Suppose 4*v + 24 - 36 = 0. Factor 15/4*q**f + 3/4*q**v + 0 + 3*q.
3*q*(q + 1)*(q + 4)/4
Let p = -37 - -36. Let c(m) = -17*m**3 + 3*m**2 + 2*m. Let h be c(p). Determine k so that -12 - 131*k**2 - 4 + 1 + 128*k**2 - h*k = 0.
-5, -1
Suppose -7*p = -0 - 7. Let h be p + (-2 + 5 - -1). Solve -799*k**h + 802*k**5 - 8*k**3 - k**3 + 6*k**2 = 0 for k.
-2, 0, 1
Let a(i) be the third derivative of -i**8/672 + 7*i**7/6 - 15941*i**6/48 + 212503*i**5/6 + 546325*i**4/3 + 1102736*i**3/3 - 28*i**2 + 24*i. Solve a(j) = 0.
-1, 164
Let b(z) be the first derivative of -1/6*z**6 - z**2 + 0*z + 1/5*z**5 + 97 - 1/3*z**3 + 3/4*z**4. Suppose b(t) = 0. What is t?
-1, 0, 1, 2
Let t = 91357/136914 - 27/45638. Determine d, given that 46/3 - t*d**2 - 44/3*d = 0.
-23, 1
Let w(q) be the second derivative of q**6/60 - 43*q**5/40 - 15*q**4/8 + 43*q**3/12 + 11*q**2 + 7*q + 852. Factor w(c).
(c - 44)*(c - 1)*(c + 1)**2/2
Let 18/13 + 4*g + 48/13*g**2 - 2/13*g**4 + 12/13*g**3 = 0. Calculate g.
-1, 9
Let 952/5*r - 12/5*r**2 + 0 - 4/5*r**3 = 0. What is r?
-17, 0, 14
Let q be 7/6 - 1 - (62 - 45811/732). Solve q*r**2 - 93/4*r + 0 = 0.
0, 31
Let d(z) be the second derivative of -z**5/5 + 7*z**4 + 140*z**3/3 + 96*z**2 + 77*z - 12. Factor d(n).
-4*(n - 24)*(n + 1)*(n + 2)
Let j(i) = 4*i - 132. Let m be j(33). Suppose 5*a + 933 - 1063 = m. What is g in -25/2*g**4 - 4 - 95/2*g**3 - a*g - 57*g**2 = 0?
-2, -1, -2/5
Let u(h) = -158 + 95 + 41*h + 247. Let o be u(-4). Suppose 3/2*p - 10*p**4 - 21/2*p**3 - 1 + o*p**2 = 0. Calculate p.
-2, -1/4, 1/5, 1
Let c be (22/(-99))/(156/(-117)). Factor -1/3*r**2 - 1/6*r + 0 - c*r**3.
-r*(r + 1)**2/6
Let o be 3/18*-4*(-168249)/34. Suppose -3297*r**4 - 2*r**2 + o*r**4 + 3*r**3 - 7*r + 4*r**3 = 0. Calculate r.
-7/2, -1, 0, 1
Factor 0*s**2 - 1/2*s**4 + 0 + 0*s + 13*s**3.
-s**3*(s - 26)/2
Let p(w) = 39*w**3 - 6*w**2 - 30*w. Let v(j) = -38*j**3 + 6*j**2 + 31*j. Let i = -221 + 215. Let m(s) = i*v(s) - 7*p(s). Suppose m(q) = 0. What is q?
-2/3, 0, 4/5
Let m = 426789 + -426786. Factor -11*o**m + 68/3*o**2 - 37/3*o + 2/3.
-(o - 1)**2*(33*o - 2)/3
Suppose 35*v = 71*v - 468. Let j(c) = c**3 - 17*c**2 + 53*c - 10. Let x be j(v). Solve 2/5*g**2 + 6/5*g**x + 8/5 - 16/5*g = 0 for g.
-2, 2/3, 1
Solve -1532/5 + 1153/5*m**2 - 77*m**4 - 763/5*m**3 - 1/5*m**5 + 1528/5*m = 0 for m.
-383, -2, 1
Let i(y) be the third derivative of y**5/140 + 41*y**4/56 + 90*y**3/7 - 1073*y**2. Factor i(q).
3*(q + 5)*(q + 36)/7
Let l(p) = p**4 + 5*p**3 - 7*p**2 - 17*p - 12. Let c(q) = -8*q**4 - 34*q**3 + 54*q**2 + 118*q + 83. Let x(a) = -2*c(a) - 15*l(a). Suppose x(w) = 0. What is w?
-1, 2, 7
Let m(v) be the first derivative of -2*v**3/3 - 375*v**2 + 752*v + 876. Find f, given that m(f) = 0.
-376, 1
Find q, given that 778*q - 834*q + 40*q**2 - 34*q**2 + 2*q**3 = 0.
-7, 0, 4
Let k(j) be the second derivative of 0 - 1/4*j**4 + 68*j**3 - 23*j - 6936*j**2. Let k(p) = 0. What is p?
68
Let o = 66905/100272 - 19/33424. Factor 26/3*a**3 + 0 - o*a**4 + 0*a + 0*a**2.
-2*a**3*(a - 13)/3
Factor 452 - 154*h - 250*h**2 + 376*h + 248*h**2.
-2*(h - 113)*(h + 2)
Suppose -20*g = -68 + 308. Let p be 14*(-1)/g*(-45)/(-140). Factor -p*r**2 + 15/4*r - 75/8.
-3*(r - 5)**2/8
Let h(z) = 80*z**2 + 1544*z - 1554. Let v(t) = 17*t**2 + 309*t - 311. Let l(j) = 6*h(j) - 28*v(j). Factor l(i).
4*(i - 1)*(i + 154)
Suppose 21*s - 153 = 3480. Let r = -862/5 + s. Solve -3/5*u**2 - r - 6/5*u = 0 for u.
-1
Let u(o) = 82*o**4 - 1575*o**3 + 1125*o**2 - 14*o - 87. Let l(b) = 20*b**4 - 394*b**3 + 282*b**2 - 3*b - 22. Let a(f) = -9*l(f) + 2*u(f). Solve a(w) = 0.
-1/4, 1/2,