8*m**2 - 2*m**3 + 9/4*m**4 + 0*m**5 - 1/10*m**6 - 2*m. What is a in t(a) = 0?
-3, -1, 2
Let x(z) be the second derivative of z**7/18 - 4*z**6/9 - z**5/5 + 4055*z. Factor x(j).
j**3*(j - 6)*(7*j + 2)/3
Let s(q) be the third derivative of q**5/60 - 25*q**4/48 - 91*q**3/4 - 918*q**2. Factor s(m).
(m + 7)*(2*m - 39)/2
Find u such that -299712*u**3 - 29*u**5 + 23*u**5 - 4580*u**2 - 145948*u**2 + 2685*u**4 = 0.
-1/2, 0, 224
Let b(d) be the first derivative of 1/24*d**6 + 1/5*d**5 + 64 + 0*d - 1/16*d**4 + 0*d**2 - 1/3*d**3. Factor b(m).
m**2*(m - 1)*(m + 1)*(m + 4)/4
Find i, given that 0 - 39/7*i**3 - 3/7*i**4 - 162/7*i**2 - 216/7*i = 0.
-6, -4, -3, 0
Let o = -8108397/102977 - -26535/313. Let s = -42/47 + o. Let -24/7*h - s - 4/7*h**2 = 0. What is h?
-3
Suppose -q - 154 = -156. Let z(l) be the first derivative of 1/15*l**6 + 0*l - 2/25*l**5 + 2/15*l**3 + 0*l**q + 15 - 1/10*l**4. Factor z(x).
2*x**2*(x - 1)**2*(x + 1)/5
Let a(d) = -4*d**2 + d. Let w = -54 - -114. Let f be (1/(-2) - -1)/((-10)/w). Let r(o) = 7*o**2 - o. Let m(x) = f*r(x) - 5*a(x). Factor m(y).
-y*(y + 2)
Let l(i) be the first derivative of -1/27*i**6 + 1/9*i**2 - 25 - 4/27*i**3 + 4/45*i**5 + 0*i + 0*i**4. Factor l(g).
-2*g*(g - 1)**3*(g + 1)/9
Suppose 0 = -4701*q + 2603*q. Let 12/5*v**2 + 36/5*v**3 + q*v + 27/5*v**5 - 15*v**4 + 0 = 0. Calculate v.
-2/9, 0, 1, 2
Let v(c) be the first derivative of -c**4/14 - 36*c**3/7 - 780*c**2/7 - 6800*c/7 - 6504. Factor v(s).
-2*(s + 10)**2*(s + 34)/7
Let i(m) be the second derivative of -7/6*m**4 + 7/20*m**5 - 3*m + 2/15*m**6 + 0*m**2 - 7 + 1/2*m**3. Suppose i(n) = 0. What is n?
-3, 0, 1/4, 1
Suppose 0 = -3*b + 5*b + 54. Let j be (72/b - -3)*0. Factor j + 2/9*p - 2/9*p**2.
-2*p*(p - 1)/9
Let w(j) be the first derivative of -j**4/16 - 35*j**3/4 + 107*j**2/4 + 3382. What is c in w(c) = 0?
-107, 0, 2
Let 8 - 32/3*t + 10*t**3 - 26/3*t**2 = 0. Calculate t.
-1, 2/3, 6/5
Let s(o) be the first derivative of o**5/5 + 31*o**4/3 + 170*o**3 + 450*o**2 + 10*o + 121. Let d(m) be the first derivative of s(m). Factor d(w).
4*(w + 1)*(w + 15)**2
Solve -2260*d**2 + 45*d**4 - 54699*d**3 + 26482*d**3 - 1680 + 27032*d**3 + 4540*d = 0.
-3, 2/3, 28
Let b(u) be the third derivative of u**5/300 + 61*u**4/120 - 31*u**3/15 - 45*u**2 - 16*u. Factor b(w).
(w - 1)*(w + 62)/5
Suppose 57*j = 61*j - 36. Let x be ((-2)/(-3))/(j/27). Suppose 2/17*y + 2/17*y**3 + 4/17*y**x + 0 = 0. Calculate y.
-1, 0
Let k(n) = 25*n**3 + 61*n**2 + 91*n - 22. Let v(w) = 5*w**3 + 12*w**2 + 17*w - 4. Let m(a) = -2*k(a) + 11*v(a). What is g in m(g) = 0?
-1, 0
Let l(i) be the second derivative of -i**7/105 + i**5/10 + i**4/6 + 14*i**2 + i + 2. Let g(u) be the first derivative of l(u). Solve g(v) = 0 for v.
-1, 0, 2
Suppose 3*i + 3 = -3*f + 6, -i = 2. Factor -7*j**3 - 2*j**3 + 0*j**4 + 22*j**3 - f*j**4 - 5*j + 11*j**2.
-j*(j - 5)*(j + 1)*(3*j - 1)
Suppose -15*r = -170 - 4285. Let a = -1 - -5. Find w, given that 12*w - 294*w**4 + 12 + 0 + r*w**a - 9*w**2 - 6*w**3 = 0.
-1, 2
Let b(n) = 194*n + 66*n - 175*n + 138 + 161*n + 106*n**2. Let y(w) = 105*w**2 + 245*w + 139. Let r(d) = 5*b(d) - 6*y(d). Let r(a) = 0. What is a?
-6/5
Let n = -262 - -270. Let s(v) be the second derivative of -n*v**3 - 26*v + 12/5*v**5 - 96*v**2 + 0 + 63/4*v**4 + 1/10*v**6. Determine d so that s(d) = 0.
-8, -1, 1
Let v(j) = 2*j**5 - 3*j**4 - 2*j**3. Let o(a) = -3*a**5 + 6*a**4 + 4*a**3. Suppose 2*f - 20 = -30. Let z(h) = f*v(h) - 3*o(h). Factor z(c).
-c**3*(c + 1)*(c + 2)
Let g = -11388 + 341641/30. Let j(k) be the third derivative of 0 + g*k**5 - 5/12*k**4 - k**2 + 0*k**3 + 0*k. Factor j(p).
2*p*(p - 5)
Let d(z) be the third derivative of z**7/105 + z**6/6 + 2*z**5/3 - 5*z**4/6 - 7*z**3 + 1558*z**2 - 1. Let d(s) = 0. What is s?
-7, -3, -1, 1
Let r(o) be the first derivative of -243*o**5/5 - 13581*o**4 - 1008004*o**3 + 676032*o**2 - 150528*o - 2677. Factor r(z).
-3*(z + 112)**2*(9*z - 2)**2
Let c be (1 + -2)*(388/873 - (-44)/(-18)). Factor -8/5*u**2 + 8/5*u**4 + 1/5*u**5 + 9/5*u - c*u**3 + 0.
u*(u - 1)**2*(u + 1)*(u + 9)/5
Let t(i) be the first derivative of i**6/120 - i**5/20 + i**4/8 - 7*i**3/3 + 5. Let p(j) be the third derivative of t(j). Find f, given that p(f) = 0.
1
Let m(s) be the first derivative of -2*s**5/45 - 3524*s**4/9 - 12418576*s**3/9 - 21881530912*s**2/9 - 19277628733472*s/9 - 14876. What is w in m(w) = 0?
-1762
Suppose -102 = c + o - 1635, 20 = -4*o. What is n in -c*n**4 + 2*n**2 - 1542*n**4 + 3078*n**4 + 4*n**3 - 4*n = 0?
-1, 0, 1, 2
Let k(d) be the first derivative of 2*d**6/27 + 8*d**5/3 + 9*d**4 - 16*d**3/27 - 24*d**2 - 5724. Suppose k(t) = 0. What is t?
-27, -2, 0, 1
Let b(m) be the first derivative of -m**7/105 + m**5/25 - m**3/15 - 55*m - 65. Let l(f) be the first derivative of b(f). Factor l(g).
-2*g*(g - 1)**2*(g + 1)**2/5
What is c in -120 + 2054/23*c**2 - 6216/23*c**3 + 18/23*c**4 + 5528/23*c = 0?
-1, 2/3, 345
Suppose -1671 = 16*o - 1671. Let h(x) be the first derivative of o*x + 0*x**2 + 1/2*x**3 + 3/8*x**4 - 2. Factor h(g).
3*g**2*(g + 1)/2
Let d(v) = -17*v + 270. Let o be d(16). Let r be (-6*(-9)/(-27))/(3*o). Factor r*z**2 + 10/3*z + 8/3 - 1/3*z**3.
-(z - 4)*(z + 1)*(z + 2)/3
Let v(n) = -2*n**3 + 10*n. Let y(i) = -9*i**3 - 13*i**2 + 97*i - 35. Let o(w) = -10*v(w) + 2*y(w). Find p such that o(p) = 0.
1, 5, 7
Let t = -338235 + 338239. Suppose -39/5*u**3 + 0*u**2 + 0*u + 0 + 3/5*u**t = 0. What is u?
0, 13
Let v(a) be the second derivative of -a**4/24 + 269*a**3/6 - 72361*a**2/4 + 2*a - 935. Factor v(k).
-(k - 269)**2/2
Suppose 325*r = 269*r. Let k(f) be the third derivative of 1/180*f**6 - 1/9*f**3 + r - f - 38*f**2 - 1/30*f**5 + 1/12*f**4. Factor k(w).
2*(w - 1)**3/3
Let d(v) be the third derivative of v**7/1155 + 17*v**6/660 - 23*v**5/330 - 31*v**4/44 - 18*v**3/11 - 289*v**2 + 2. What is s in d(s) = 0?
-18, -1, 3
Let m(p) be the first derivative of -605*p**4/4 + 1980*p**3 + 1095*p**2/2 + 50*p + 3229. Determine x, given that m(x) = 0.
-1/11, 10
Suppose 4*o + 71 = 3*n, -2*n + 17 = 3*o - 19. Solve 79*m**2 - 32*m**2 + 9 + n*m - 35*m**2 = 0.
-1, -3/4
Let o(b) = -2*b**2 - 96*b - 1142. Let w(y) = -1. Let c be (27/18)/(-1 - (-5)/2). Let s(f) = c*o(f) + 10*w(f). Solve s(x) = 0.
-24
Let n = 37 + 33. Let b = n + -70. Solve -8/9*o**3 + 4/9*o**5 + b - 4/9*o**4 + 0*o + 0*o**2 = 0 for o.
-1, 0, 2
Let i(t) = 37. Let x(v) = 43. Let g(o) = 7*i(o) - 6*x(o). Let p(c) = 4*c**2 - 20*c - 26. Let n(f) = 2*g(f) + p(f). Factor n(l).
4*(l - 6)*(l + 1)
Let k = -682757 - -1365637/2. Factor -k - 60*b + 3/2*b**2.
3*(b - 41)*(b + 1)/2
Let f(h) = 122*h - 19. Let d(c) = -82*c + 13. Let n(p) = 7*d(p) + 5*f(p). Let t(z) = z**2 - 36*z + 3. Let q(j) = 3*n(j) + 4*t(j). Factor q(w).
4*w*(w - 9)
Let k(b) be the third derivative of b**8/4032 - b**7/1008 - b**6/24 - 3*b**5/4 - b**2 - b. Let y(i) be the third derivative of k(i). Factor y(q).
5*(q - 3)*(q + 2)
Let o be 2/(-6)*-11*(-270)/(-660). Find n such that o*n**2 - 6 + 0*n = 0.
-2, 2
Suppose 3*z + 0*z = -3, 14 = 4*w + 2*z. Factor 700*s + 4*s**w + 39*s**3 + 142 + 250 + 372*s**2 + 29*s**3.
4*(s + 1)*(s + 2)*(s + 7)**2
Let x(k) be the third derivative of -25*k**8/336 + 11*k**7/42 + 29*k**6/24 - 47*k**5/12 - 5*k**4 + 30*k**3 - 5710*k**2. Determine v so that x(v) = 0.
-2, -1, 1, 6/5, 3
Let z(i) be the first derivative of 1/5*i**5 + i**3 - 24*i**2 + 25 + 25/24*i**4 - 7/120*i**6 + 0*i. Let q(s) be the second derivative of z(s). Factor q(d).
-(d - 3)*(d + 1)*(7*d + 2)
Let s = -1621 + 1626. Let w(y) = -y**2 + 3*y + 22. Let q be w(s). Factor -1/2*g**2 - 72 + q*g.
-(g - 12)**2/2
Let q = 1383 - 1379. Suppose 5*m - 8*w + 12*w = -q, -4*m - 2 = 2*w. Suppose -6/17*y**4 + 6/17*y**2 + 2/17*y**3 - 2/17*y**5 + 0 + m*y = 0. What is y?
-3, -1, 0, 1
Suppose -4*b - 24 = -16*b. Suppose -4*k + 4*k**3 - 58*k**b + 119*k**2 - 69*k**2 + 8 = 0. Calculate k.
-1, 1, 2
Let k(r) = r**2 - 7*r + 4. Suppose 15 = 3*g - 6. Let h be k(g). Determine m, given that 3*m**3 + 6*m**2 - 5*m**4 + 0*m**3 + 2*m**h = 0.
-1, 0, 2
Let n(k) = k**2 - 17*k - 15. Suppose -11*i + 143 = -55. Let g be n(i). Let 0*l + 1271*l**3 - 1272*l**g + l = 0. Calculate l.
-1, 0, 1
Let d = -684 - -715. Factor 75*o**2 + 5*o**3 - 5*o - 35*o**2 + d*o + 9*o.
5*o*(o + 1)*(o + 7)
Let g(b) be the first derivative of b**4/12 + 598*b**3/9 + 44998*b**2/3 + 177608*b/3 + 1367