d**j + 35*d + 45*d**2 + 2*d**4 + 3*d**4 + 10 + 40*d**3 = 0?
-2, -1
Suppose -827 = 4*j - z + 65, -916 = 4*j + 5*z. Let k be (-1876)/j - 16/2. Suppose 9/8*a**2 - 3/8*a - 9/8 + k*a**3 = 0. What is a?
-3, -1, 1
Let t(z) be the third derivative of -1645/24*z**4 - 7/24*z**6 + 229*z**2 + 0*z + 97/12*z**5 + 0 - 245/6*z**3. Factor t(g).
-5*(g - 7)**2*(7*g + 1)
Suppose 36*r + 41*r - 194*r + 16*r = -404. Factor 4*u - 54/7*u**2 + 24/7*u**3 + 0 + 2/7*u**r.
2*u*(u - 1)**2*(u + 14)/7
Let n = -295 - -376. Find g such that g**2 - 2*g**2 - 1237 + 68*g + n = 0.
34
Solve -2484/5 - 8388/5*k + 1881/5*k**3 + 1641/5*k**2 - 21/5*k**5 - 81*k**4 = 0.
-23, -2, -2/7, 3
Let -70/3*q**3 + 28/3*q**4 - 2/3*q**5 + 0*q + 0 + 44/3*q**2 = 0. Calculate q.
0, 1, 2, 11
Let l(s) be the first derivative of -s**6/9 + 2*s**5/3 + 83*s**4/6 + 502*s**3/9 + 278*s**2/3 + 208*s/3 - 5239. Find d such that l(d) = 0.
-4, -2, -1, 13
Let r(w) be the second derivative of w**5/80 - 5*w**4/16 + 31*w**3/12 - 6*w**2 + 6*w + 7. Let r(c) = 0. Calculate c.
1, 6, 8
Let l(t) be the third derivative of 1/18*t**4 - 2*t**2 - 1/180*t**6 + 0*t + 0*t**3 - 1/105*t**7 + 16 + 1/30*t**5 - 1/504*t**8. Suppose l(v) = 0. Calculate v.
-2, -1, 0, 1
Let h(o) = -211*o**2 - 491*o - 4351. Let f(q) = -575*q**2 - 1350*q - 11965. Let y(r) = -11*f(r) + 30*h(r). Factor y(n).
-5*(n - 31)*(n + 7)
Let a(v) be the second derivative of 175/12*v**3 + 37/8*v**5 + 7 - 295/24*v**4 - 2*v - 7/12*v**6 - 15/2*v**2. Determine x, given that a(x) = 0.
2/7, 1, 3
Let v(m) be the second derivative of -m**5/10 - 322*m**4/3 - 103684*m**3/3 - 1150*m. Factor v(r).
-2*r*(r + 322)**2
Let t = -143 + 145. Factor -6*m - 6*m**2 - t*m**2 - 36*m**3 + 34*m**3.
-2*m*(m + 1)*(m + 3)
Suppose -9*o + 12*o - 39 = 0. Suppose -9 = o*p - 35. Factor p*m**2 + 0*m**2 - 10*m**2 + 16*m + 4*m**2 + 20.
-4*(m - 5)*(m + 1)
Let t(w) = 1143*w + 3. Let k be t(2). Factor -5 + k*p + p**2 - 13 - 2272*p.
(p - 1)*(p + 18)
Let j(y) be the first derivative of -4/3*y**3 + 34 - 40*y - 22*y**2. Factor j(r).
-4*(r + 1)*(r + 10)
Factor 4909*m + 717363 + m**2 + 5842*m + 2*m**2 - 7817*m.
3*(m + 489)**2
Let t(d) be the first derivative of 9/20*d**5 + 0*d**2 - 7/16*d**4 + 93 + 0*d - 1/6*d**3. Factor t(i).
i**2*(i - 1)*(9*i + 2)/4
Let a(u) = -3*u**3 + 10*u**2 + 32*u - 90. Let x be a(4). What is z in 45/7*z - x - 3/7*z**2 = 0?
1, 14
Factor -770*w**3 - 312*w + 460*w**2 + 1962*w**3 - 868*w**3 + 8*w**4.
4*w*(w + 2)*(w + 39)*(2*w - 1)
Determine i, given that -48/7*i**3 + 0*i - 44/7*i**2 + 0 - 4/7*i**4 = 0.
-11, -1, 0
Let z(y) be the third derivative of 0 + 11/315*y**5 + 10/63*y**3 + 8/315*y**6 + 2*y + 5/3528*y**8 - 37/252*y**4 + 25*y**2 - 32/2205*y**7. Solve z(t) = 0 for t.
-1, 2/5, 1, 5
Let s(w) be the first derivative of -w**6/72 + 13*w**5/24 - 55*w**4/12 - 241*w**3/3 - 74. Let g(q) be the third derivative of s(q). Factor g(m).
-5*(m - 11)*(m - 2)
Let r(a) be the first derivative of a**5/15 + 251*a**4/12 + 7055*a**3/3 + 613121*a**2/6 + 1143574*a/3 - 1983. Solve r(b) = 0 for b.
-83, -2
Let v be -1*3 - -10*7/14. Factor 164*s**v + 155*s**2 + 8 - 34*s - 300*s**2 + 7*s**3.
(s - 1)*(s + 4)*(7*s - 2)
Let h(s) be the first derivative of -2*s**6/3 - 188*s**5/5 - 528*s**4 + 768*s**3 + 1118. Let h(m) = 0. What is m?
-24, 0, 1
Let x(b) = 5*b**2 - 13*b + 15. Let k(j) = -2*j**2 + 6*j - 7. Let n = -23 + 16. Let f(l) = n*k(l) - 3*x(l). Determine t, given that f(t) = 0.
-4, 1
Let s(a) be the first derivative of -a**5/12 - 15*a**4/8 - 20*a**3/3 - 13*a**2/2 - 2*a - 51. Let w(u) be the second derivative of s(u). Factor w(i).
-5*(i + 1)*(i + 8)
Let i(j) = j**4 + 22*j**3 - 34*j**2 + 40*j - 13. Let o(n) = 4*n**4 + 70*n**3 - 101*n**2 + 123*n - 40. Let l(v) = 7*i(v) - 2*o(v). Factor l(b).
-(b - 11)*(b - 1)**3
Suppose 0 = 191*q - 243*q + 468. Suppose 5*f - 13 = -j, -2*f - 5*j = -6 - 13. Determine z so that 2*z**3 + 4*z + 8*z**2 + 4*z**4 - 20*z**f - 6*z**3 + q - 1 = 0.
-1, 1, 2
Let o(u) = 11*u**2 - 24*u + 163. Let x(d) = -9*d**2 + 26*d - 164. Let t(j) = 4*o(j) + 5*x(j). Factor t(q).
-(q - 28)*(q - 6)
Let r be (-1200)/960*24/(-5). Let h(y) be the first derivative of 1/2*y**4 - 1 + 1/5*y**5 + 4/9*y**3 + 1/36*y**r + 0*y + 0*y**2. Factor h(b).
b**2*(b + 2)**3/6
Suppose 0 = 4*w + 8*l - 12*l + 36, 36 = -2*w + 4*l. Let j(t) be the second derivative of -17*t + 4*t**2 - 1/5*t**5 - 2/3*t**4 + 2/3*t**3 + w. Factor j(f).
-4*(f - 1)*(f + 1)*(f + 2)
Let b = 1512351 - 1512349. Factor -b*u**3 + 0 - 32/9*u - 2/9*u**4 - 16/3*u**2.
-2*u*(u + 1)*(u + 4)**2/9
Let s be 6/2 - (74/26 - 22/(-143)). Let t(r) be the first derivative of -1/3*r**3 + 20 + s*r - 3/2*r**2. Factor t(o).
-o*(o + 3)
Let c(j) be the third derivative of 21*j**2 + 1/8*j**3 + 17/60*j**5 - 29/96*j**4 + 1 + 0*j. Solve c(h) = 0.
3/17, 1/4
Let h(w) be the second derivative of -113*w + 1/30*w**5 + 0 + 361/3*w**2 + 133/3*w**3 + 13/6*w**4. Factor h(c).
2*(c + 1)*(c + 19)**2/3
Let u(l) be the first derivative of -258 - 8/55*l**5 - 1/33*l**6 + 4/33*l**3 + 5/11*l**2 + 4/11*l - 2/11*l**4. Let u(w) = 0. Calculate w.
-2, -1, 1
Factor 1973*r + 4038779 - 6890*r - 11263*r + 4050675 + 5000166 + 5*r**2.
5*(r - 1618)**2
Let h(g) be the second derivative of -g**4/4 - 331*g**3/6 - 64*g**2 - 207*g. Let n(j) = 2*j**2 + 165*j + 64. Let y(k) = -3*h(k) - 7*n(k). Factor y(d).
-(d + 32)*(5*d + 2)
Factor -2/9*i**2 + 0 + 172/9*i.
-2*i*(i - 86)/9
Let a be (-1 - -4)*20/6. Suppose v - a = -4*v. Determine o so that o**4 - 2*o**v + o**4 - 2*o**3 - 42*o**5 + 44*o**5 = 0.
-1, 0, 1
Factor -1/2*d**5 + 166*d**2 + 26*d**4 + 223/2*d + 28 + 109*d**3.
-(d - 56)*(d + 1)**4/2
Let c be 75570/105 - (-4)/14. Let r be ((-276)/c - (-2)/15)/(-1). What is y in r*y**2 - 3/4*y**5 + 7/4*y**4 + 0 + 0*y - 5/4*y**3 = 0?
0, 1/3, 1
Factor -86/3*a**2 - 56/3 + 6*a**3 - 272/3*a.
2*(a - 7)*(a + 2)*(9*a + 2)/3
Let p(r) = r**3 - 33*r**2 + 62*r + 94. Let k be p(31). Suppose 128*s - k*s - 68 = 0. Factor 3/7*d - 1/7 + 1/7*d**3 - 3/7*d**s.
(d - 1)**3/7
Let q be ((-135)/1215)/(66/315 - 2/5). Let l(r) be the third derivative of -1/20*r**6 + 13*r**2 + 0*r + 0 + 2/3*r**3 + 4/15*r**5 - q*r**4. Factor l(b).
-2*(b - 1)**2*(3*b - 2)
Let p(l) = -16*l**2 - 731*l + 659. Let a(t) = 3*t**2 + 145*t - 132. Let x(r) = 11*a(r) + 2*p(r). Solve x(k) = 0 for k.
-134, 1
Let v(h) = 51*h**2 + 1961*h - 1083. Let z be v(-39). Find l such that -19/4*l**3 - z*l**2 + 0 + l = 0.
-2, 0, 2/19
Let k(q) be the second derivative of q**4/15 - 112*q**3/15 + 22*q**2 + q - 443. Factor k(m).
4*(m - 55)*(m - 1)/5
Suppose -17385*l**2 - 25*l - 68*l - 96 + 17388*l**2 = 0. What is l?
-1, 32
Let b(y) = 119*y**2 + 1908*y + 405. Let o(l) = -75*l**2 - 1272*l - 269. Let w(q) = 5*b(q) + 8*o(q). What is p in w(p) = 0?
-127, -1/5
Suppose 5*w = -a + 697, 27*w - 4*a - 409 = 24*w. Let z = w - 137. Factor 0 - 2/7*c + 1/7*c**z + 2/7*c**3 - 1/7*c**4.
-c*(c - 2)*(c - 1)*(c + 1)/7
Let z = -12578 - -12617. Let l(t) be the second derivative of -1/3*t**3 + 0*t**4 - 1/2*t**2 + 0 + z*t + 1/30*t**6 + 1/10*t**5. Determine v so that l(v) = 0.
-1, 1
Suppose -5*p + 0*p + 20 = 0. Let y(l) = 25140 - 25139 + 2*l - 3*l. Let m(x) = 16*x**2 + 24*x. Let t(v) = p*y(v) + m(v). Factor t(a).
4*(a + 1)*(4*a + 1)
Let a be (-7546)/294 + 31 + -2. Determine c, given that 6*c - 2/3*c**3 - a - 2*c**2 = 0.
-5, 1
Let m be (4/6)/(1/(-6)) + 7. Factor 97*h**2 + 5*h**m - 193*h**2 + 51*h**2 + 0*h**3 + 135*h - 135.
5*(h - 3)**3
Let v be (-10)/(6 + -6 + -2). Factor 7*w**2 + 16 + w - v*w**2 + 17*w.
2*(w + 1)*(w + 8)
Let i(l) be the first derivative of -15 - 4/9*l - 1/9*l**2 + 2/27*l**3. Factor i(q).
2*(q - 2)*(q + 1)/9
Let r be (2 - 11)/(-1 - 1) - (-3470)/(-1388). Solve -1 - 6/5*x - 1/5*x**r = 0 for x.
-5, -1
Let j(a) be the second derivative of -a**5/150 + 3*a**4/5 + 37*a**3/15 + 105*a**2 - 21*a. Let u(d) be the first derivative of j(d). What is s in u(s) = 0?
-1, 37
Let u be 390/120 - 1/4. Suppose 136*n**2 - 80*n - 5*n**5 - 7*n**3 - 16*n**2 - 30*n**4 + 2*n**u = 0. What is n?
-4, 0, 1
Let n(s) be the first derivative of -3*s**4/32 - 17*s**3/6 + 347*s**2/16 - 27*s/2 + 203. Factor n(z).
-(z - 4)*(z + 27)*(3*z - 1)/8
Factor 0 + 0*z - 16926/5*z**3 - 16562/5*z**2 - 2/5*z**5 - 366/5*z**4.
-2*z**2*(z + 1)*(z + 91)**2/5
Let p(c) = 3*c**2 - 3. Let t(f) be the second derivative of 5*f + f**2 + 0*f**3 - 1/6*f**4 + 0. Let y(b) = -3*p(b) - 5*t(b). Determine