
Let a(s) = 42*s**2 + 9809*s - 19742. Let d(o) = 8*o**2 + 1962*o - 3948. Let p(h) = -2*a(h) + 11*d(h). Solve p(b) = 0.
-493, 2
Let s = 238274/35 - 47652/7. Factor 1/5*h**2 + s*h - 3/5.
(h - 1)*(h + 3)/5
Let c(h) be the first derivative of -h**5/2 + 41*h**4/4 + 58*h**3 + 62*h**2 - 80*h + 215. Let c(s) = 0. What is s?
-2, 2/5, 20
Let l = 995011/7 + -142144. Let 19*p + l*p**3 - 41/7*p**2 + 7 = 0. What is p?
-1/3, 7
Let g = -40037 - -40037. Factor 0*y + y**4 - 3*y**2 - 5/2*y**3 + g + 1/2*y**5.
y**2*(y - 2)*(y + 1)*(y + 3)/2
Let d(l) = 2*l**3 + 23*l**2 - 109*l + 110. Let w(o) = -9*o**3 - 117*o**2 + 546*o - 552. Let y(p) = -24*d(p) - 5*w(p). Factor y(v).
-3*(v - 5)*(v - 4)*(v - 2)
Let c(t) = 2*t**3 + 11*t**2 - 22*t + 3. Let a(b) = -10*b + 74. Let q be a(8). Let y(s) = s**3 + 10*s**2 - 20*s + 2. Let w(n) = q*y(n) + 4*c(n). Factor w(d).
2*d*(d - 4)**2
Solve -104/5 + 4/5*n**2 - 20*n = 0.
-1, 26
Let o = 1521 - 1617. Let t be (-93)/(-36) + o/128. Find m, given that -1/6*m**2 - 5/3 - t*m = 0.
-10, -1
Let y(o) = -o + 37*o**2 - 39*o**2 + 7*o**3 - 8*o**3 - 1. Let x(g) = 8*g**3 - 38*g**2 - 11*g + 1. Let j(p) = -4*x(p) - 4*y(p). Find n such that j(n) = 0.
-2/7, 0, 6
Let p = 8327 - 8293. Let t(h) be the second derivative of 0*h**3 - p*h + 0*h**2 - 1/100*h**5 - 1/150*h**6 + 0 + 0*h**4. Determine m so that t(m) = 0.
-1, 0
Suppose 226*n - 764 = 34 + 332. Let s(l) be the second derivative of -40*l + 8/3*l**4 - 32/3*l**3 + 0*l**2 + 0 - 1/5*l**n. Suppose s(r) = 0. What is r?
0, 4
Let o(x) be the third derivative of -x**6/1080 - x**5/180 + x**4/36 + 4*x**3/27 - 828*x**2 + 3*x. Suppose o(n) = 0. Calculate n.
-4, -1, 2
Let t = -36844 + 36850. Let u(n) be the third derivative of 1/2*n**5 - 5*n**2 + 0*n + 1/24*n**t + 0 + 5*n**3 + 55/24*n**4. Factor u(o).
5*(o + 1)*(o + 2)*(o + 3)
Let d = 95 - 81. Let a be (-70)/(-3)*((-36)/d)/(-1). Find c, given that 13*c**2 + 35*c**3 - 3*c**2 - 40 + c**5 - c**5 - a*c - 5*c**5 = 0.
-2, -1, 2
Suppose -41*l = -153 + 30. Let u(s) be the second derivative of -29*s + 1/4*s**5 + 0 - 5/4*s**4 + 5/2*s**l - 5/2*s**2. Factor u(t).
5*(t - 1)**3
Solve -2/9*b**4 - 16/9*b**3 - 2/9*b**2 + 0 + 28/3*b = 0.
-7, -3, 0, 2
Let a = 946 - 916. Suppose 0 = a*s + s - s. Solve -1/4*v**3 - 5/4*v**2 + s - 3/2*v = 0.
-3, -2, 0
Let u = 27 - -25. Suppose -3*i + u = 2*r, -4*r + 2*i - 4*i = -120. Determine t, given that -r*t**3 + 4*t + 5*t**5 - 26*t**3 + t + 48*t**3 = 0.
-1, 0, 1
Suppose -2204 = -7*v - 2183. Let g(s) be the second derivative of -3*s - 1/10*s**v + 1/60*s**4 - 2/5*s**2 + 0. Solve g(q) = 0.
-1, 4
Let i(v) be the first derivative of -v**4 - 220*v**3/3 + 116*v**2 + 448*v - 1308. Factor i(g).
-4*(g - 2)*(g + 1)*(g + 56)
Let q(s) be the third derivative of -s**6/80 - 7*s**5/4 - 1457*s**4/16 - 1922*s**3 - 16*s**2 + 274*s. Find g, given that q(g) = 0.
-31, -8
Let t(z) be the first derivative of z**3 + 390*z**2 + 646. Factor t(u).
3*u*(u + 260)
Suppose -2*w - 4*s = 658 - 650, 4*w + 3*s + 1 = 0. Find c, given that -4/9*c**w - 64/9 + 32/9*c = 0.
4
Suppose 2*a = 16*o - 14*o - 4, 2*o + 3*a = 24. Suppose -3*j + 7 = -d + o, 16 = -2*j + 4*d. Let -l - 1/2*l**j - 1/2 = 0. What is l?
-1
Let r(w) be the second derivative of 13*w**5/4 + 5*w**4/6 + 1695*w. Factor r(i).
5*i**2*(13*i + 2)
Let x = -1459385/2 + 729700. Solve -12*u - x*u**2 - 3/2*u**3 - 6 = 0 for u.
-2, -1
Let z(l) be the second derivative of 8/3*l**2 + 1/45*l**6 - 1/3*l**4 - 4/9*l**3 - l + 1/30*l**5 + 14. Suppose z(m) = 0. What is m?
-2, 1, 2
Suppose -p = 2*f - 81, -3*f + 42 = -3*p - 57. Factor -4*i**2 - 26 + 170*i - 202*i - f.
-4*(i + 4)**2
Solve 45*z**3 + 895*z**2 - 1095*z**2 - 8335*z**2 - 945 + 5675*z = 0 for z.
1/3, 189
Let i(z) be the third derivative of -13/60*z**5 + 1/120*z**6 + z + 0 + 82*z**2 - 5/2*z**3 - 29/24*z**4. Factor i(b).
(b - 15)*(b + 1)**2
Let v(m) be the first derivative of -m**4/36 + 235*m**3/9 + 2170. Factor v(a).
-a**2*(a - 705)/9
Let k be -4*66/(-198)*(62/28 - 2). Factor -2/7*p**5 + 0*p**2 + 0 + k*p**4 + 0*p + 4/7*p**3.
-2*p**3*(p - 2)*(p + 1)/7
Let s(m) be the second derivative of m**6/60 - 287*m**5/20 + 4584*m**4 - 3538657*m**3/6 + 6967871*m**2/4 - 1890*m. Suppose s(x) = 0. What is x?
1, 191
Let h(o) be the second derivative of -o**6/150 - 13*o**5/25 - 121*o**4/30 - 166*o**3/15 - 141*o**2/10 - 2*o - 856. Factor h(m).
-(m + 1)**2*(m + 3)*(m + 47)/5
Let m = 4 + -2. Let w = -102590 - -102590. Factor -4/11*u - 2/11*u**m + w.
-2*u*(u + 2)/11
Let m(s) = s**3 - 24*s**2 + 22*s + 23. Let r be m(23). Suppose 0*j + 3*j - 9 = r. Suppose 5*i**2 - i**2 - 2*i**2 - j*i**2 - i**3 = 0. What is i?
-1, 0
Let x = -270453 + 1352269/5. Find r, given that -8/5*r**4 + 0 + 2/5*r - 14/5*r**3 - x*r**2 = 0.
-1, 0, 1/4
Let j(t) be the third derivative of 11/48*t**4 + 10*t - t**2 + 1/420*t**7 - 11/240*t**6 + 0 + 0*t**3 - 1/120*t**5. Determine z, given that j(z) = 0.
-1, 0, 1, 11
Let g be 0*(1 + 2/(-4)). Suppose -849 = -385*f - 265*f + 367*f. Factor -4/3*a - a**4 + g + 3*a**2 + 10/3*a**f.
-a*(a - 4)*(a + 1)*(3*a - 1)/3
Let i(k) be the first derivative of 0*k**2 + 53 - 14/15*k**3 - 3/5*k**4 + 2/25*k**5 + 0*k. Determine w, given that i(w) = 0.
-1, 0, 7
Let j(i) be the first derivative of -i**3/4 + 1857*i**2/4 - 1149483*i/4 + 1831. Let j(m) = 0. What is m?
619
Let j(n) be the first derivative of -17/4*n**2 + 196 + 1/10*n**5 - 1/2*n**3 + 5/8*n**4 - 5*n. Factor j(o).
(o - 2)*(o + 1)**2*(o + 5)/2
Let n be -6 + 277/8 + 9/24. Suppose 18 = -n*l + 38*l. Factor 2/3*u**3 - 2/9*u - 4/9*u**l + 0.
2*u*(u - 1)*(3*u + 1)/9
Suppose -6202*m**2 - 59639678602/3 - 2/3*m**3 - 19232402*m = 0. Calculate m.
-3101
Let z = 980 + -924. Factor -55863 - 6*o**2 + z*o**2 - 20*o - 15*o**3 + 55823.
-5*(o - 2)**2*(3*o + 2)
Let z(q) = 70*q**2 + 24*q - 52. Let p(x) = 58*x**2 + 23*x - 50. Let h(l) = 6*p(l) - 5*z(l). Factor h(j).
-2*(j - 5)*(j - 4)
Let i(y) be the first derivative of -1/140*y**5 + 0*y**2 + 8*y + 22 + 0*y**4 + 1/42*y**3. Let r(d) be the first derivative of i(d). What is p in r(p) = 0?
-1, 0, 1
Let w = 664/649 + 10309/3245. Factor 1/5*u**2 + w*u + 0.
u*(u + 21)/5
Let s(u) = -9325*u**2 - u + 2. Let d(o) = 93297*o**2 + 12*o - 21. Let h(j) = 2*d(j) + 21*s(j). Factor h(f).
-3*f*(3077*f - 1)
Let b(s) = -6*s + 275. Let z be b(-19). Let x = z - 387. Factor 5*w**3 + 5/3 + 35/3*w**x + 25/3*w.
5*(w + 1)**2*(3*w + 1)/3
Let m(s) = -s**5 - 8*s**4 - 21*s**3 - 29*s**2 - s + 35. Let u(k) = -k**2 + k + 5. Let n(v) = -3*m(v) + 21*u(v). Factor n(b).
3*b*(b + 1)**2*(b + 2)*(b + 4)
Let p(y) be the second derivative of -y**4/42 - 16*y**3/7 - 47*y**2/7 - 6*y - 6. Factor p(a).
-2*(a + 1)*(a + 47)/7
Let x = -965344/3 - -4826762/15. Determine u so that -x*u**2 + 2/5*u**3 + 24/5*u + 0 = 0.
0, 3, 4
Suppose -1097 = -16*t + 87. Determine p so that -63*p - 72 - 23*p**3 + 31*p**3 - 207*p + t*p**2 = 0.
-12, -1/4, 3
Let s = -1669/12 - -567/4. Let w(p) be the second derivative of s*p**3 + 1/3*p**4 + 0 + 6*p**2 + 9*p. Find t, given that w(t) = 0.
-3, -1
Let s be (6/14)/((-31620)/(-630) + -50). Factor s*r**2 + 0*r + 1/12*r**5 + 0 + 9/4*r**3 + 3/4*r**4.
r**2*(r + 3)**3/12
Let a(l) be the first derivative of 2*l**5/75 + l**4/10 - 2*l**3/5 - 9*l**2/5 + 807. Solve a(r) = 0.
-3, 0, 3
Let p(d) be the second derivative of -d**7/420 - d**6/60 + 6*d**2 - 111*d. Let n(j) be the first derivative of p(j). Factor n(l).
-l**3*(l + 4)/2
Suppose 0 = -3*y + 8*y - 10. Find p, given that 21*p**2 + 7*p**2 - y*p**4 + 12*p**3 + 5 - 2*p**5 + 0*p**5 + 22*p + 1 = 0.
-1, 3
Let r = -362515 - -1450061/4. Factor 2 - 3/2*z + r*z**2.
(z - 4)*(z - 2)/4
Factor 141 - 20550*i**2 + 45 + 34 + 20548*i**2 - 218*i.
-2*(i - 1)*(i + 110)
Determine j, given that -10*j + 63*j + 44*j**2 + 92*j - 33*j + 4*j**3 = 0.
-7, -4, 0
Determine r, given that 771*r**4 + 206 + 121*r**2 + 165*r**2 - 84*r - 1267*r**3 - 206 - 9*r**5 + 303*r**2 = 0.
0, 1/3, 1, 84
Factor -36*t - 16 + 55*t**2 + 21*t**3 + 28 - 82*t**2.
3*(t - 2)*(t + 1)*(7*t - 2)
Let p(s) = 2*s**2 + 13*s - 43. Let g be p(-9). Factor 87*u - 3*u**g - 141*u + 1 + 56.
-3*(u - 1)*(u + 19)
Let n(o) be the first derivative of o**6/600 - 41*o**5/50 + 1681*o**4/10 + 2*o**3/3 - 97*o**2/2 + 26. Let b(q) be the third derivative of n(q). Factor b(f).
3*(f - 82)**2/5
Let l(a) = 6*a + 64. Let n be l(-9). Factor -20*p + 2*p**4 - 5*p**3 + 25*p**3 + 15 - 9*p**4 + 2*p**4 - n*p**2.
-5*(p - 3)