(t + 91)*(11*t - 2)
Let x = 64592 - 129183/2. Factor 1/2*i**3 - x*i**2 - 2*i + 2.
(i - 2)*(i - 1)*(i + 2)/2
Let b be (8/6)/(1/99*22). Solve -9/2*r**3 + 0 + 3/2*r**4 + b*r + 0*r**2 = 0.
-1, 0, 2
Let k(i) be the third derivative of 25/2*i**3 + 116*i**2 + 0 + 1/420*i**7 - 19/120*i**5 - 65/48*i**4 + 0*i + 1/48*i**6. Find d, given that k(d) = 0.
-5, 2, 3
Let k(i) be the first derivative of -3 + 1/30*i**6 + 1/2*i**2 - 3/5*i + 1/25*i**5 - 3/10*i**4 + 2/15*i**3. Solve k(x) = 0 for x.
-3, -1, 1
Let l(r) be the second derivative of 0*r**2 + 0 - r**3 + 20*r - 1/18*r**4. Determine b, given that l(b) = 0.
-9, 0
Let 165*u**3 + 1790/3*u**2 - 16/3*u**5 + 32 + 800/3*u - 40/3*u**4 = 0. Calculate u.
-4, -1/4, 6
Let -6252*f**3 - 6253*f**3 - 6258*f**3 - 655*f**2 + 18758*f**3 - 12595*f - 65945 = 0. Calculate f.
-109, -11
Factor 136/7*d - 60/7 - 73/7*d**2 + 6/7*d**3.
(d - 10)*(2*d - 3)*(3*d - 2)/7
Let w(p) be the first derivative of p**6/3 + 2*p**5/5 - 25*p**4/2 - 74*p**3/3 + 60*p**2 - 2643. Find d such that w(d) = 0.
-4, -3, 0, 1, 5
Let i(f) be the third derivative of 20/3*f**3 + 11/6*f**4 + 129*f**2 + 0 + 1/15*f**5 + 0*f. Solve i(q) = 0 for q.
-10, -1
Factor 20 + 22 + y**2 + 126*y + 0*y**2 + 0*y**2 + 83.
(y + 1)*(y + 125)
Let h(n) = 71*n**3 + 15*n**2 - 12*n - 96. Let s(a) = 85*a**3 + 15*a**2 - 10*a - 96. Let x(o) = 6*h(o) - 5*s(o). Solve x(r) = 0 for r.
-16, -2, 3
Let l be 1/(6 - 4)*1760/540. Let z(a) be the first derivative of 14/45*a**5 + l*a**3 + a**4 + 13/9*a**2 - 15 + 2/3*a + 1/27*a**6. Factor z(c).
2*(c + 1)**4*(c + 3)/9
Let c be -3 + 7 - 650/1352*8. Let -c*k + 2/13*k**2 - 12/13 = 0. Calculate k.
-2, 3
Let b(l) = -18*l + 134. Let i be b(8). Let p be (-2)/5 - i/25. Suppose 1/2*z**5 + p*z**4 - 1 - 2*z**3 + z**2 + 3/2*z = 0. What is z?
-2, -1, 1
Let l = 3 - 1. Solve -187*d**3 + 369*d**3 + d**l - 183*d**3 = 0 for d.
0, 1
Let c be 231/42*1/22. Factor 5/4*k**2 - 7/4*k**3 + 7/4*k - 3/2 + c*k**4.
(k - 6)*(k - 1)**2*(k + 1)/4
Let x(s) = -901 + 3*s - 15*s**2 + 3*s**3 + 901. Let f(n) = 2*n**3 - 14*n**2 + 2*n. Let q(g) = 7*f(g) - 6*x(g). Suppose q(b) = 0. What is b?
-1, 0
Let n = -263 + 258. Let c be n*(1057/(-105) + 10). Factor -c*s - 4/9 + 1/9*s**2.
(s - 4)*(s + 1)/9
Solve -3*i**4 - 12*i**2 - 42*i**3 - 21*i**5 - 16*i - 6558 + 24*i**5 + 6654 + 136*i = 0.
-2, -1, 2, 4
Let b(z) be the second derivative of -3*z**5/140 + 11*z**4/14 - 10*z**3 + 300*z**2/7 + z + 109. Find p such that b(p) = 0.
2, 10
Let y(s) be the first derivative of s**6/195 - 3*s**5/130 + s**4/39 - 73*s + 113. Let n(r) be the first derivative of y(r). Let n(i) = 0. What is i?
0, 1, 2
Suppose 6*y**5 + 6*y**5 - 124*y**4 - 321*y**2 - 1212*y**3 - 133*y - 52*y**4 - 187*y - 1023*y**2 = 0. What is y?
-4, -1, -1/3, 0, 20
Factor 2458/11 + 2456/11*u - 2/11*u**2.
-2*(u - 1229)*(u + 1)/11
Let o(m) be the first derivative of 8/9*m**3 - 20/3*m + 7/3*m**2 - 1/6*m**4 + 52. Let o(k) = 0. What is k?
-2, 1, 5
Let r(o) be the third derivative of 2*o**7/105 - 7*o**6/10 + 19*o**5/15 + 7*o**4/2 - 40*o**3/3 + 1343*o**2. Find h such that r(h) = 0.
-1, 1, 20
Suppose 5*k - 128 = -3*q, q - 96 = -3*k + 4*q. Let w be 2 + 1 - (k/(-4) + 6). Factor 15/4*b**2 + 3*b**3 + 3/4*b**w + 3/2*b + 0.
3*b*(b + 1)**2*(b + 2)/4
Let a(t) be the first derivative of -t**7/2940 + t**6/1260 + 4*t**3/3 + 9*t - 66. Let c(d) be the third derivative of a(d). Factor c(p).
-2*p**2*(p - 1)/7
Let i = -123 - -117. Let j(b) = -4*b**5 + 6*b**4 - 12*b**3 + 4*b**2 - 6. Let o(q) = 4 - 1 + q**4 - 2. Let m(d) = i*o(d) - j(d). Solve m(w) = 0.
0, 1
Let x(m) be the first derivative of -m**5/10 - 19*m**4/4 + m**3/6 + 19*m**2/2 - 8162. Factor x(k).
-k*(k - 1)*(k + 1)*(k + 38)/2
Factor -117 - 149*k + 182*k + 3*k**2 - 63.
3*(k - 4)*(k + 15)
Let y(p) = -17*p**2 - 2870*p + 5852. Let d(l) = 3*l**2 + 574*l - 1168. Let s(k) = -44*d(k) - 8*y(k). Factor s(a).
4*(a - 572)*(a - 2)
Let z(b) = b**3 - b + 2. Let x(u) = 4*u**3 + 15*u**2 - 5*u + 10. Let y be (19/(-266))/((-1)/14). Let l(w) = y*x(w) - 5*z(w). Suppose l(i) = 0. Calculate i.
0, 15
Let q = 142663 + -427700/3. Factor 68*r + 12 + q*r**2.
(17*r + 6)**2/3
Let q be (-26 + 25)*1/((-1)/3). Let z be ((-5)/q - 1/3)/(-8). Let 1/8*b**2 + 0 + 1/8*b**4 + z*b**3 + 0*b = 0. What is b?
-1, 0
Solve 5*f**2 + 1/3*f**3 - 80 + 26/3*f = 0.
-10, -8, 3
Let y(i) be the third derivative of i**5/390 + 3*i**4/13 + 20*i**3/3 - 2*i**2 - 210. Solve y(v) = 0 for v.
-26, -10
Let u be (-152016)/176 - (-24)/(-88). Let t = u + 867. Factor 0*b + 1/9*b**4 + 0 + 1/9*b**2 - 2/9*b**t.
b**2*(b - 1)**2/9
Let k be (3 - -1) + (108 - 1). Let o = -47 + k. Factor 58*u**2 - 4*u - 5*u + 3*u**3 - o*u**2.
3*u*(u - 3)*(u + 1)
Factor 455*y**3 + 0*y**5 + 2*y**5 - 6*y**2 - 2*y**2 + 26*y + 0 - 12 + 4*y**4 - 467*y**3.
2*(y - 1)**3*(y + 2)*(y + 3)
Suppose 130*d - 167 = 142 - 49. Factor -6/7*p - 48/7 + 6/7*p**3 + 48/7*p**d.
6*(p - 1)*(p + 1)*(p + 8)/7
Determine q so that 0*q**4 + 144*q**2 - 864 - 1132*q**3 + 1100*q**3 + 2*q**4 = 0.
-2, 6
Let f = -6648876 + 15172735705/2282. Let h = -3/326 + f. Factor -1/7*o**5 - 2/7*o**2 + 1/7*o + 0*o**3 + h*o**4 + 0.
-o*(o - 1)**3*(o + 1)/7
Let n be ((-3)/2)/(2/72*-9). Let r(y) be the first derivative of -5 + 16/5*y**5 + 4*y**4 - 10*y**2 - 8/3*y**3 + 2/3*y**n - 8*y. Factor r(l).
4*(l - 1)*(l + 1)**3*(l + 2)
Let s(z) be the second derivative of -5*z**7/7 + 29*z**6/10 + 33*z**5/2 - 13*z**4/4 - 32*z**3 + 30*z**2 + 65*z + 8. Suppose s(p) = 0. Calculate p.
-2, -1, 2/5, 1/2, 5
Suppose -5*u - 443 = 4*o, -o = -0*o + u + 111. Let d be ((-6)/(-5))/((o/(-120))/14). Factor 5*v + 25 + 5*v**2 + 6*v + d*v + v.
5*(v + 1)*(v + 5)
Let f(u) be the first derivative of -u**6/24 - 11*u**5/12 - 5*u**4 + u**2/2 + 13*u - 157. Let j(o) be the second derivative of f(o). Factor j(k).
-5*k*(k + 3)*(k + 8)
Suppose -5*a - q - 92 = -103, -3*q = -5*a + 7. What is f in a*f**2 + 1/4*f**5 - 4*f + 15/4*f**3 + 0 - 2*f**4 = 0?
-1, 0, 1, 4
Let z(h) be the first derivative of -h**4 - 20/9*h**3 + 0*h + 208 - 1/15*h**5 + 0*h**2. Find b, given that z(b) = 0.
-10, -2, 0
Suppose 5*s = -2*l + 2, -5108*l + 5103*l - 41 = s. Suppose -3/8*n**s - 3/2*n + 3/2*n**3 + 9/8 - 3/4*n**2 = 0. Calculate n.
-1, 1, 3
Let 1/5*q**3 + 84/5*q + 108/5 - 23/5*q**2 = 0. Calculate q.
-1, 6, 18
Suppose 4*q - 10*q + 966 = 0. Determine f, given that 152*f**4 - 6*f**3 - 468*f**4 + 3*f**2 + 6*f + 152*f**4 + q*f**4 = 0.
-2, -1, 0, 1
Let j(m) be the first derivative of 0*m**2 - 7/30*m**5 + 1/15*m**6 + 5/18*m**4 - 1/9*m**3 - 37*m + 30. Let h(o) be the first derivative of j(o). Factor h(b).
2*b*(b - 1)**2*(3*b - 1)/3
Let j(c) = -6*c**2 + 11575*c - 5587345. Let z(g) = -3*g**2 + 5787*g - 2793672. Let u(v) = 3*j(v) - 5*z(v). Factor u(q).
-3*(q - 965)**2
Let c = 370 + -672. Let j = c - -304. Factor 1/2*p**2 - j*p + 0.
p*(p - 4)/2
Let m(a) be the first derivative of -a**4/16 + 51*a**3/2 - 24585*a**2/8 + 44402*a + 6831. Factor m(r).
-(r - 149)**2*(r - 8)/4
Let w(g) be the first derivative of 4*g**5/5 + 96*g**4 - 1180*g**3/3 + 396*g**2 - 848. Factor w(k).
4*k*(k - 2)*(k - 1)*(k + 99)
Suppose 12 = 5*m - 2*c, 0 = -3*m + c + 51 - 44. Let b(y) be the first derivative of 7 + 4/7*y - 2/21*y**3 - 1/7*y**m. Factor b(x).
-2*(x - 1)*(x + 2)/7
Let n(h) be the first derivative of 1/9*h**3 + 6*h - 1/60*h**5 + 1/24*h**4 - 10 - 1/3*h**2 - 1/180*h**6. Let v(i) be the first derivative of n(i). Factor v(g).
-(g - 1)**2*(g + 2)**2/6
Let j(d) be the second derivative of -d**4/42 + d**3/21 + 30*d**2/7 - 1148*d. Factor j(v).
-2*(v - 6)*(v + 5)/7
Let i(p) be the first derivative of p**4/16 + 19*p**3/12 + 79*p**2/8 - 99*p/4 + 5490. Find z such that i(z) = 0.
-11, -9, 1
Let c be 2180/(-327) - -2*2 - (-3 + 0). Find k such that -c*k**2 - 961/3 + 62/3*k = 0.
31
Factor -1/2*i**5 + 0 - 6272*i - 111*i**4 - 12097/2*i**3 + 12432*i**2.
-i*(i - 1)**2*(i + 112)**2/2
Determine f so that 550*f**2 + 445/2*f + 5/2*f**5 - 225*f**3 - 525 - 25*f**4 = 0.
-7, -1, 1, 2, 15
Let -10952/19 - 294/19*l**4 - 10656/19*l + 11246/19*l**2 + 2/19*l**5 + 10654/19*l**3 = 0. Calculate l.
-1, 1, 74
Let i(a) = 2*a**2 - 4*a. Let t be i(-5). Find m, given that 9*m - 30*m**2 + 36*m + t + 17*m**3 - 10*m**3 - 7*m**3 - 5*m**3 = 0.
-7, -1, 2
Let l = 14606 - 803303/55. Let b = -1/11 + l. Factor 4/5*r**2 - 4/5*r**4 + 0 + 0*r**3 - b*r**5 + 2/5*r.
-2*r*(r - 1)*(r + 1)**3/5
Let r(c) be the second derivativ