 - 2.
2*(r - 1)**3
Let f(v) be the second derivative of 17/18*v**3 + 1/36*v**4 - 48*v - 19/3*v**2 + 1. Factor f(q).
(q - 2)*(q + 19)/3
Let c(f) be the second derivative of -f**6/20 + f**5/10 - f**4/24 + 135*f. Factor c(l).
-l**2*(l - 1)*(3*l - 1)/2
Let d(z) be the third derivative of -z**6/240 + 9*z**5/40 + 5*z**4/8 - 14*z**3/3 - 2*z**2 - 4*z. Factor d(c).
-(c - 28)*(c - 1)*(c + 2)/2
Suppose -29*x + 21 = -22*x. Determine m, given that -50*m - 90 - 5*m**x + 41*m + 50*m**2 - 26*m = 0.
-1, 2, 9
Let j be 3/(-9) + 38/6. Factor -j*a**2 + 9*a - a + 32 + 8*a**2 - 6*a**2.
-4*(a - 4)*(a + 2)
Let b(p) = -83*p**4 + 428*p**3 + 1072*p**2 - 432*p - 208. Let s(v) = -2*v**4 + 8. Let l(q) = -3*b(q) - 24*s(q). Solve l(n) = 0 for n.
-2, -2/9, 6/11, 6
Let h(k) be the second derivative of 7*k**6/270 - 13*k**5/180 - k**4/108 + 13*k**3/54 - k**2/3 + 3020*k. Factor h(n).
(n - 1)**2*(n + 1)*(7*n - 6)/9
Factor 222*s - 10517*s - 8750*s**2 - 145*s + 8748*s**2 - 13624200.
-2*(s + 2610)**2
Let t(k) be the third derivative of -3/20*k**5 - 1/168*k**8 + 0 - 9/140*k**7 + 1/6*k**4 + 0*k + 0*k**3 - 60*k**2 - 49/240*k**6. Suppose t(o) = 0. Calculate o.
-4, -2, -1, 0, 1/4
Suppose 9*g + p - 11 = 6*g, 4*g - 24 = p. Factor 3*l**g - 2028*l**3 - 4*l**5 - 517 + 78*l**4 + 17576*l**2 + 517.
-l**2*(l - 26)**3
Let s(i) be the second derivative of 2/3*i**4 - 1 - 3*i - 1/15*i**6 + 4/3*i**3 - 1/10*i**5 + 0*i**2. Let s(z) = 0. What is z?
-2, -1, 0, 2
Let x(s) be the third derivative of -1/42*s**4 + 2/21*s**3 - 1/1470*s**7 + 23*s**2 + 0 + 1/210*s**6 - s - 1/140*s**5. Factor x(p).
-(p - 2)**2*(p - 1)*(p + 1)/7
Suppose -k + 0*o = -o, -o + 4 = 0. Let r be (-888)/(-1968) - (-18)/369. Solve r*t**2 + 8 - k*t = 0 for t.
4
Let x(z) = 2*z**2 + 12*z - 11. Let r be x(-7). Solve -9 - r + 6*k**2 - 14 + 20*k + 10 = 0.
-4, 2/3
What is x in 16/15*x - 2/3*x**3 + 0 - 2/15*x**4 - 4/15*x**2 = 0?
-4, -2, 0, 1
Suppose 0 = 17*a - 136, -3*k + 188*a = 193*a - 46. Factor 36/7*q**k + 9/7 + 3/7*q**4 + 18/7*q**3 + 30/7*q.
3*(q + 1)**3*(q + 3)/7
Let 112*p + 5*p**2 - 6335 + 6551 - 3*p**2 = 0. Calculate p.
-54, -2
Let i(m) be the first derivative of m**3/6 - 29*m**2/2 + 56*m + 8766. Let i(u) = 0. What is u?
2, 56
Let j(h) = -19 - 6*h + 36*h - 212 - h**2. Let b(i) = 1. Let y(z) = 6*b(z) + j(z). Let y(o) = 0. What is o?
15
Let s(a) be the third derivative of a**6/180 - 2*a**5/15 - 5*a**4/3 + 800*a**3/9 + 52*a**2 + 6*a. Factor s(h).
2*(h - 10)**2*(h + 8)/3
Let n(t) be the second derivative of -t**7/399 - 68*t**6/285 - 752*t**5/95 - 320*t**4/3 - 41216*t**3/57 - 50176*t**2/19 - 1135*t. Let n(f) = 0. What is f?
-28, -4
Let l(k) be the second derivative of k**6/280 - 3*k**5/140 + k**4/28 + 65*k**2 - 4*k. Let x(j) be the first derivative of l(j). Solve x(s) = 0.
0, 1, 2
Let j = -64 - -100. Let x be (-40)/(-16)*(j/10)/3. Determine g, given that 16/7 + 4/7*g**x - 4/7*g**2 - 16/7*g = 0.
-2, 1, 2
Solve 0*d**3 + 0 - 5/4*d**4 + 0*d + 45/4*d**2 = 0.
-3, 0, 3
Let x be (41 - (-9638)/(-237))/(1*(-2)/(-3)). Suppose 1/2*n - 1/2 + x*n**2 - 1/2*n**3 = 0. What is n?
-1, 1
Let i(f) = -7565*f - 98345. Let w be i(-13). Find k, given that -3/4*k**4 + 0*k + w*k**2 + 9/4*k**3 + 0 = 0.
0, 3
Let c(g) = g**3 + 8*g**2 + 4*g + 56. Let m be c(-16). Let x = 2058 + m. Solve 0*k + 1/2*k**4 + 0*k**3 + 0 - 1/2*k**x = 0 for k.
-1, 0, 1
Let a(k) = k**3 + 25*k**2 - 55*k - 13. Let u be a(-27). Let t be ((-150)/u)/(1 - (-18)/(-14)). Solve 69*b**2 + 3/2*b**4 + 90*b + 18*b**3 + t = 0 for b.
-5, -1
Let p(z) be the second derivative of 7*z**6/780 + 17*z**5/390 + z**4/26 + z**2 - 319*z. Let y(k) be the first derivative of p(k). Let y(o) = 0. Calculate o.
-2, -3/7, 0
Let u = -81 + 96. Factor u*g**2 + 433*g**4 + 214*g**4 + 80*g**5 - 115*g**3 - 447*g**4.
5*g**2*(g + 3)*(4*g - 1)**2
Let z = -1157 + 256. Let x be 17/((-8670)/z) + 2/(-12). Find h, given that -4*h + 4/5*h**5 - x + 16/5*h**4 + 16/5*h**3 - 8/5*h**2 = 0.
-2, -1, 1
Suppose 30*q = 35*q. Suppose -3*p - 18 + 186 = q. Factor -3*d**2 + 4 - 7 + 46*d - p*d.
-(d + 3)*(3*d + 1)
Suppose 0 = 4*i - 3*l, -1831 = 2*l - 1839. Let s(j) be the first derivative of -1372/45*j**5 - 352/9*j**2 - 980/9*j**4 - 896/9*j**i - 64/9*j + 32. Factor s(q).
-4*(q + 2)*(7*q + 2)**3/9
Let p be ((-31)/4 + 184 + -176)*88/130. Let u(h) be the third derivative of 0 + 3/260*h**6 + 0*h + 23*h**2 + p*h**5 + 8/39*h**3 - 47/156*h**4. Factor u(j).
2*(j + 8)*(3*j - 1)**2/13
Let a(o) be the second derivative of 4/3*o**3 + 0 + 1/3*o**4 + 0*o**2 + 23*o. Factor a(m).
4*m*(m + 2)
Let q(b) be the first derivative of 11/6*b**3 + 0*b - 1/2*b**2 - 9/8*b**4 - 118. Find j, given that q(j) = 0.
0, 2/9, 1
Let g(n) be the second derivative of -7/8*n**4 + 1/20*n**6 + 0*n**5 + 0 + 3/2*n**3 + 0*n**2 + 114*n. Determine k so that g(k) = 0.
-3, 0, 1, 2
Suppose 4*c - s - 44 = 0, 45 = 5*c + 3*s + 7. Factor -3*j + 14 + 6*j + c*j + 2*j**2 + 3*j.
2*(j + 1)*(j + 7)
Suppose -3*a + 37 - 73 = 0. Let d be (-1)/(-5 + 11)*a. Suppose -2/5 - 8/5*r**d - 2/15*r**4 + 4/3*r + 4/5*r**3 = 0. What is r?
1, 3
Let i be -2 - (-16)/(-2)*20/(-280)*4. Factor 8/7*w + 8/7 + i*w**2.
2*(w + 2)**2/7
Let s(p) be the second derivative of 3*p**5/20 - 107*p**4/32 + 215*p**3/16 - 99*p**2/8 + 11*p - 20. Factor s(x).
3*(x - 11)*(x - 2)*(8*x - 3)/8
Let t(j) = j**2 - 145*j - 6513. Let d be t(-36). Solve -14*l**4 + 244/9*l**d - 8/3*l - 34/3*l**2 + 8/9 = 0.
-2/7, 2/9, 1
Let p(z) = 6*z**2 + 23*z - 138. Let u be p(6). Find v such that -10*v**4 - 41*v**4 - 4 - 144*v**2 - 32*v**4 - 25*v**4 + 40*v + u*v**3 = 0.
1/3, 1
Let p = 109 + -241. Let l = -128 - p. Let -3*k**4 + 8*k**4 + 11*k**2 - 20*k**3 - 20*k + 1 + 19*k**2 + l = 0. Calculate k.
1
Let o(v) be the first derivative of 4*v**3/3 - 82*v**2 - 344*v + 1495. Find b such that o(b) = 0.
-2, 43
Let d(i) be the first derivative of 1/22*i**4 - 2/55*i**5 + 0*i**2 + 0*i + 4/33*i**3 - 96. Let d(g) = 0. Calculate g.
-1, 0, 2
Let g be (-2)/1*(6 - 7). Suppose 2*n + 16 = x, 0*x + g*n = -x. Solve 4*i**2 - 2 - 1 + x*i + 14 - 7 = 0 for i.
-1
Factor 2/3*w**3 + 1080 - 336*w + 22*w**2.
2*(w - 6)**2*(w + 45)/3
Suppose -8576 - 1161 + 68*i**2 + 74*i**2 + 4128*i - 138*i**2 + 1465 = 0. Calculate i.
-1034, 2
Let q(v) be the second derivative of v**7/21 + v**6/3 - 9*v**5/10 - 17*v**4/6 + 8*v**3/3 + 12*v**2 + 722*v. Let q(a) = 0. Calculate a.
-6, -1, 1, 2
Factor 8/7 + 2/7*b**2 + 10/7*b.
2*(b + 1)*(b + 4)/7
Let d = 33 - 31. Factor -38 - 96*k**d + 65 - 75*k - 29*k**2 - 37.
-5*(5*k + 1)*(5*k + 2)
Let o be (10 - -14)*3/18. Suppose 2*b - 2 = -i - 4, -o*i = -2*b + 8. Suppose 9/4*j + 3/4*j**2 + b - 9/4*j**3 - 3/4*j**4 = 0. Calculate j.
-3, -1, 0, 1
Let r(l) be the third derivative of l**7/560 + 13*l**6/320 - 3*l**5/160 - 37*l**4/64 + 13*l**3/8 + l**2 - 71. Suppose r(a) = 0. What is a?
-13, -2, 1
Let n be 77/(-84)*792/(-1089). Factor 0*c + n - 1/6*c**2.
-(c - 2)*(c + 2)/6
Let g(a) = a**3 - 3*a**2 + 3*a - 12. Let q be g(4). Let t be (8/(-10))/(q/(-40)). Solve -429*r + 429*r - 3*r**t = 0 for r.
0
Let o(p) = 9*p**4 + 105*p**3 + 271*p**2 + 268*p + 103. Let w(y) = 14*y**4 + 158*y**3 + 406*y**2 + 402*y + 156. Let k(m) = -8*o(m) + 5*w(m). Factor k(z).
-2*(z + 1)**3*(z + 22)
Let r = 9865 - 9862. Let 26/7*m**r + 4/7*m - 4/7 + m**4 + 27/7*m**2 = 0. What is m?
-2, -1, 2/7
Let w(m) = 5*m - 41. Let l be w(12). Suppose -g = -2*q - 0*q + 6, -3*q + l = g. Suppose 2*a**3 - g*a**3 + 3*a**3 = 0. Calculate a.
0
Let k(q) be the first derivative of 3*q**5/5 - 21*q**4/2 + 39*q**3 + 81*q**2 + 487. Determine n, given that k(n) = 0.
-1, 0, 6, 9
Let d(t) be the third derivative of -t**6/252 - 61*t**5/105 - 2183*t**4/84 + 5476*t**3/63 - 9*t**2 + 69*t - 1. Let d(v) = 0. Calculate v.
-37, 4/5
Let u(v) = -v**2 - 15*v + 90. Let d be u(-20). Let f be 335/225 - (12/d)/(-2). Factor 2/9*r**2 + 2/3*r - f.
2*(r - 1)*(r + 4)/9
Let w(c) = 31*c**3 + 4*c + 1. Let f(y) = 156*y**3 + 146*y**2 + 451*y + 291. Let r(s) = -4*f(s) + 20*w(s). Factor r(n).
-4*(n + 1)*(n + 2)*(n + 143)
Let f(u) be the first derivative of -u**4/3 - 14*u**3 + 44*u**2 - 49*u - 154. Let b(v) be the first derivative of f(v). Factor b(r).
-4*(r - 1)*(r + 22)
Let k(f) be the second derivative of 1/2*f**2 - 1/6*f**3 - 2*f - 41 - 1/16*f**4 + 1/120*f**6 + 1/40*f**5. Factor k(p).
(p - 1)**2*(p + 2)**2/4
Let z(q) be the second derivative of 0 + 4/3*q**2 - 96*q + 5/12*q**3 - 1/72*q**4. Fact