2/11, 2/3
Suppose -86*z + 18 = -95*z. Let y(q) = -q**2 - q. Let g(k) = -2*k**3 - 18*k**2 + 8*k + 24. Let t(n) = z*g(n) + 36*y(n). Factor t(o).
4*(o - 4)*(o + 1)*(o + 3)
Let r(p) be the second derivative of 21*p**5/80 + 29*p**4/8 - 47*p**3/8 - 27*p**2/4 - 2*p + 846. Factor r(l).
3*(l - 1)*(l + 9)*(7*l + 2)/4
Let n be -1*(-5 - (-1281)/294)/(12/8). Factor -17/7*b - 16/7*b**2 - n*b**3 - 4/7.
-(b + 1)*(b + 4)*(3*b + 1)/7
Let d be 2/(-7) + ((-34980)/371)/(-22). Suppose 2*a**2 + a**d - 2*a + 15/2*a**3 - 5/2*a**5 + 0 = 0. Calculate a.
-1, 0, 2/5, 2
Let a(n) be the second derivative of -21*n**6/10 - 3153*n**5/20 + 527*n**4 - 622*n**3 + 312*n**2 + 5*n + 72. What is y in a(y) = 0?
-52, 2/7, 2/3, 1
Let h(p) be the first derivative of 4*p**4 - 208*p**3/3 - 110*p**2 - 56*p - 258. Let h(z) = 0. Calculate z.
-1/2, 14
Let h(c) be the third derivative of -4*c**6/75 - 3*c**5/10 + 3*c**4/20 + 2015*c**2. Suppose h(i) = 0. What is i?
-3, 0, 3/16
Let r(x) = x**3 - 2*x**2 - 46*x + 20. Let t be r(8). Factor -t - 4*s + 3*s + 3*s + s**2 - 3*s + 24.
(s - 4)*(s + 3)
Let a(j) be the first derivative of j**5/15 - 35*j**4/6 - 407*j**3/9 + 9520*j**2 + 221952*j - 368. Suppose a(i) = 0. Calculate i.
-16, 51
Let u(f) be the first derivative of 328 + 5/3*f**3 + 80*f - 25*f**2. Suppose u(o) = 0. Calculate o.
2, 8
Factor -51/2*k + 3/4*k**3 - 3/4*k**2 - 42.
3*(k - 7)*(k + 2)*(k + 4)/4
Let d(r) = -r**3 + 8*r**2 - 24. Let t be d(14). Let f = t + 6003/5. Determine k, given that f - 9/5*k + 6/5*k**2 + 3/5*k**5 - 9/5*k**4 + 6/5*k**3 = 0.
-1, 1
Let m be (-2)/3 - (-7774)/78. Solve 36 + 291*o**2 - m*o**3 - 6*o**3 - 132*o - 3*o**5 + 29*o**4 - 116*o**2 = 0 for o.
2/3, 1, 2, 3
Factor -5*q**2 + 6*q**2 - q**3 - 13308*q + 13308*q + 0*q**3.
-q**2*(q - 1)
Let o(w) be the first derivative of -1587*w**5/4 - 115*w**4/2 - 10*w**3/3 + 40*w**2 + w - 111. Let h(a) be the second derivative of o(a). Factor h(f).
-5*(69*f + 2)**2
Let t = -266136 + 266139. Find y such that -39*y**2 - 1/2*y**4 - 56*y - 49/2 - 8*y**t = 0.
-7, -1
Let z(j) be the first derivative of -j**3/3 + 235*j**2 - 294. Factor z(x).
-x*(x - 470)
Determine o, given that -16*o**3 - 4/7*o**4 - 240/7 + 16*o + 244/7*o**2 = 0.
-30, -1, 1, 2
Let h(o) be the third derivative of -o**6/30 + 11*o**5/15 + 665*o**4/6 - 6498*o**3 + 2*o**2 + 8196. Factor h(w).
-4*(w - 19)**2*(w + 27)
Let m = -113 - -117. Factor 4*z - 6*z**2 - 170 - m*z**3 + 86 + 84.
-2*z*(z + 2)*(2*z - 1)
Find v such that 44/3*v**3 - 12844/3*v - 2/3*v**4 + 74698/3 + 104*v**2 = 0.
-17, 13
Solve 0 - 9/10*x - 4/5*x**2 + 1/10*x**3 = 0.
-1, 0, 9
Let x(p) = 5980*p + 11962. Let r be x(-2). Suppose g + 40 = 6*g. Factor -2 - 7/2*d**r - g*d.
-(d + 2)*(7*d + 2)/2
Let k = 22456 + -22454. Factor -4/21*y**k + 0*y + 0 + 2/21*y**3.
2*y**2*(y - 2)/21
Let b(r) = r**2 - 12*r. Let g be b(11). Let n(f) = -f**2 - 16*f - 25. Let j be n(g). Factor 72*u**3 + 6*u**5 + j*u + 28*u - 24*u**4 - 96*u**2 - 3*u**5 - 10*u.
3*u*(u - 2)**4
Let r(s) = 10*s**4 + 82*s**3 + 20*s**2 + 2. Let j(g) = 21*g**4 + 164*g**3 + 40*g**2 + 5. Let u = -83 - -85. Let a(v) = u*j(v) - 5*r(v). Solve a(y) = 0 for y.
-10, -1/4, 0
Let l(b) be the third derivative of -b**6/840 + 19*b**5/420 + 265*b**4/168 + 725*b**3/42 - 595*b**2. Solve l(a) = 0.
-5, 29
Let l(p) be the third derivative of -2*p - 3/32*p**4 - 38*p**2 + 0*p**3 + 0 + 3/160*p**6 + 1/840*p**7 - 1/240*p**5. Determine m so that l(m) = 0.
-9, -1, 0, 1
Let r(p) be the third derivative of -p**6/280 + 79*p**5/140 + 32*p**4/7 - 410*p**3/7 + 3895*p**2. Factor r(x).
-3*(x - 82)*(x - 2)*(x + 5)/7
Suppose -64 = -9*j + 7 + 109. Let n(t) be the second derivative of 0*t**2 + 0 + t**4 - 8/3*t**3 + j*t. Factor n(a).
4*a*(3*a - 4)
Let y(i) be the second derivative of -3*i**3 + 5/4*i**4 - 36 - 3/20*i**5 + i + 0*i**2. Factor y(s).
-3*s*(s - 3)*(s - 2)
Let g be 48/108 + (-976)/9. Let s be 2 + (-80)/36 - 186/g. Factor -3/2*d - s - 3/8*d**2.
-3*(d + 2)**2/8
Let w = 8192 - 8190. Let n(d) be the third derivative of 1/6*d**4 + 0*d**3 + 0*d + 1/15*d**5 + 26*d**w + 0. What is z in n(z) = 0?
-1, 0
Let d(w) be the third derivative of 1/10*w**5 + 0*w**6 - 1/224*w**8 + 0*w - 17 - w**2 - 3/140*w**7 + 0*w**4 + 0*w**3. Factor d(c).
-3*c**2*(c - 1)*(c + 2)**2/2
Let p(k) be the second derivative of 3*k**5/140 + 135*k**4/28 + 4623*k**3/14 + 13467*k**2/14 + 1004*k. Find r, given that p(r) = 0.
-67, -1
What is q in -2/13*q**3 + 150/13*q - 148/13*q**2 + 0 = 0?
-75, 0, 1
Let t = 163908/55 - 2980. Let o = t - -54/385. Factor 4/7*z**2 - 2/7*z - o.
2*(z - 1)*(2*z + 1)/7
Factor -27 - 1/4*l**2 + 6*l.
-(l - 18)*(l - 6)/4
Let n = 141 + -136. Solve -16*j**2 - 20*j**3 + 15*j + 10 + 19*j**2 + n*j**5 - 13*j**2 = 0.
-1, 1, 2
Let i(a) = 134*a + 24*a - 385 + 61*a + 371 - 117*a**2. Let h(w) = -120*w**2 + 220*w - 15. Let l(f) = -4*h(f) + 5*i(f). Let l(z) = 0. What is z?
1/21, 2
Let -69072740*k**2 - 14574949 - 203326811 - 3640*k**4 - 202420*k**3 - 5*k**5 - 675995*k**3 + 287856560*k = 0. Calculate k.
-244, 1, 3
Let y(c) be the second derivative of -c**5/10 + 23*c**4/3 - 700*c**3/3 + 3528*c**2 + 2*c + 6571. Suppose y(s) = 0. What is s?
14, 18
Let b = 34 + -37. Let o be (-1)/b*(-594)/(-22). Factor o*n**3 + 7*n**4 - 4*n**5 + 5*n**4 + 4*n**2 - 5*n**3 - 16*n**3.
-4*n**2*(n - 1)**3
Let g(s) be the first derivative of -s**3/15 + 133*s**2/10 - 132*s/5 + 4846. Factor g(z).
-(z - 132)*(z - 1)/5
Let z(c) = 42 + 28 - 4*c + 130. Let l be z(49). Factor 14/17*j**2 + 10/17*j**3 + 2/17*j**l + 6/17*j + 0.
2*j*(j + 1)**2*(j + 3)/17
Let f(n) be the third derivative of -1/100*n**5 + 1/50*n**6 - 3/20*n**4 + 6*n**2 + 0*n**3 + 0*n - 4 - 1/350*n**7. Factor f(m).
-3*m*(m - 3)*(m - 2)*(m + 1)/5
Let z = 92 + -224. Let k be (-3)/(-33)*z/(-108). Factor 2/9 - 2/9*x**2 - k*x + 1/9*x**3.
(x - 2)*(x - 1)*(x + 1)/9
Let h be 12/(-7)*(-448)/960. Let -1/5*m**2 + h - 3/5*m = 0. What is m?
-4, 1
Factor 17/4 + 1/4*t**2 - 9/2*t.
(t - 17)*(t - 1)/4
Let r(w) be the third derivative of 1/8*w**4 + 0 - 5/9*w**3 + 0*w - 135*w**2 + 1/180*w**5. Factor r(v).
(v - 1)*(v + 10)/3
Suppose 4*m = -20, 5*q - 25 = 10*q + 3*m. Let f be -3 + (-64)/8*q/5. Determine a, given that f*a**2 + 0 - 2/5*a**4 + 0*a + 1/5*a**3 = 0.
-1/2, 0, 1
Let a = -116 + 91. Let m be 4/a*240/(-48). What is d in -4/5 + 58/5*d**3 - 5*d**4 + m*d**5 - 61/5*d**2 + 28/5*d = 0?
1/4, 1, 2
Let b(r) = -488*r - 594. Let n be b(-4). Let o = 6793/5 - n. Factor -6/5*p**3 + 0 + 3/5*p**2 + 0*p + o*p**4.
3*p**2*(p - 1)**2/5
Let k(l) be the third derivative of 23/44*l**4 + 7/10*l**5 - 5*l + 0 + 5/33*l**3 - 49/660*l**6 - 2*l**2. Solve k(a) = 0 for a.
-1/7, 5
Let u(n) = -5*n**3 + 5*n - 7 + 23*n**2 - 9*n**3 + 17*n**3 - 18. Let d(m) = -8*m**3 - 46*m**2 - 12*m + 51. Let f(z) = 2*d(z) + 5*u(z). Factor f(p).
-(p - 23)*(p - 1)*(p + 1)
Factor -69/4*n + 1/8*n**2 - 146.
(n - 146)*(n + 8)/8
Let a(z) be the first derivative of -116 - 7/9*z**3 - 5/3*z - 11/6*z**2 - 1/12*z**4. Let a(c) = 0. Calculate c.
-5, -1
Let o(q) be the first derivative of -q**4/8 - 5*q**3/12 - 3*q**2/8 - 154. Factor o(v).
-v*(v + 1)*(2*v + 3)/4
Suppose 7*z + 14 + 11 = 46. Let t(w) be the third derivative of -1/330*w**5 + 1/33*w**4 + 0 + 0*w + 5/33*w**z + 8*w**2. Determine h so that t(h) = 0.
-1, 5
Suppose 0 = 5*r - 6*r + 16. Let f = r + 5. Solve -6*a**4 + 1 - 6*a**3 + 17*a**5 - f*a - 14*a**5 + 5 + 24*a**2 = 0.
-2, 1
Let u = -2/262321 + 262325/524642. Factor -u*r**2 + 1/2*r**4 + r + 0 - r**3.
r*(r - 2)*(r - 1)*(r + 1)/2
Let r(t) = t**2 + 8*t + 12. Let f be r(-6). Let h be 13/((-39)/(-396)) + f. Let -58*k - 64*k + h*k + 15*k**3 + 35*k**2 = 0. Calculate k.
-2, -1/3, 0
Let m(v) be the third derivative of v**10/10080 + v**9/2100 + v**8/2800 + 45*v**4/8 - 19*v**2 + 2. Let z(x) be the second derivative of m(x). Factor z(r).
3*r**3*(r + 2)*(5*r + 2)/5
Let s(b) = -10*b - 56. Let n be s(-5). Let t be (n/(-14))/((-24)/(-16)). Solve -20/7*y + 50/7 + t*y**2 = 0 for y.
5
Let f(a) be the second derivative of 5*a**4/12 - 915*a**3/2 - 2755*a**2 + 121*a - 4. Factor f(t).
5*(t - 551)*(t + 2)
Let r(d) = -d**2 - 3*d + 136. Let t be r(13). Let b be (-8)/2*(14 + 1164/t). Factor 169/3*o**2 + 1/3 - b*o.
(13*o - 1)**2/3
Let b(m) = -5*m**3 - 5*m**2 + m + 2. Let c be b(-2). Let 21*z**3 + c*z**4 + 157*z**2 - 149*z**2 + 7*z**3 = 0. Calculate z.
-1, -2/5, 0
Let a(c) be the third derivative of c**5/105 + 34*c**4/21 