*3*(f + 10)
Let l = 116 - 130. Let d be (-116)/l + -4 + 4*-1. Factor -d*j + 0 + 2/7*j**2.
2*j*(j - 1)/7
Suppose -103*s = 86*s + 3*s - 384. Factor 5/3*u**4 - s*u - 22/3*u**3 + 23/3*u**2 + 0.
u*(u - 3)*(u - 1)*(5*u - 2)/3
Suppose 2*y + 7 - 1 = 2*p, -1 = -p - y. Let a = 27195 + -27192. Let 18 + 12*r + 1/2*r**a - 11/2*r**p = 0. What is r?
-1, 6
Let s(r) be the third derivative of r**7/10080 + r**6/1152 + r**5/320 + r**4/4 + 7*r**3/6 + 159*r**2. Let l(k) be the second derivative of s(k). Factor l(h).
(h + 1)*(2*h + 3)/8
Let s be ((-12)/(-27))/(-2) + 1108/4986. Factor s + 2/9*i**3 + 26/9*i**2 + 0*i.
2*i**2*(i + 13)/9
Let d(x) be the second derivative of 1/90*x**5 - 2*x**2 - 1/9*x**3 + 2/27*x**4 + 85*x + 0. Let d(k) = 0. What is k?
-3, 2
Let i = -41048 + 697818/17. Factor -8/17 + i*l**2 + 6/17*l.
2*(l - 1)*(l + 4)/17
Let p(i) be the second derivative of i**5/12 - 5*i**4/6 + 10*i**3/3 + 39*i**2/2 + 4*i + 1. Let s(c) be the first derivative of p(c). Factor s(h).
5*(h - 2)**2
Let u(l) = 3 - l**3 + 3*l**2 + 5*l - 2 - 6 + 6. Let t be u(4). Let g**3 + 1/2 - 3/4*g - 1/2*g**2 - 1/4*g**t + 0*g**4 = 0. Calculate g.
-2, -1, 1
Let i(j) be the third derivative of j**5/15 - 145*j**4/6 + 1400*j**3/3 - 6*j**2 - j + 4. Factor i(f).
4*(f - 140)*(f - 5)
Suppose 382 - 21 = 82*t + 197. What is r in 20/3 + 10/3*r - 25/6*r**3 - 5*r**t - 5/6*r**4 = 0?
-2, 1
Let s = -1096806 + 1096810. Factor 9*p**2 + 27 - 8*p**3 - 1/2*p**5 + 81/2*p - s*p**4.
-(p - 2)*(p + 1)*(p + 3)**3/2
Let g(h) be the third derivative of h**5/60 - 11*h**4/8 - 34*h**3/3 + 8*h**2. Let b be g(35). Determine o so that -2/9*o**3 + 8/9*o**b - 8/9 + 2/9*o = 0.
-1, 1, 4
Let y(k) = 2*k**3 + 38*k**2 + 156*k + 963. Let r be y(-16). Factor 0 + x**5 + 4/9*x**2 + 7/3*x**4 + 16/9*x**r + 0*x.
x**2*(x + 1)*(3*x + 2)**2/9
Let c(d) = -25 - 45 + 73*d - 31*d**2 + 14*d**2 + 21*d**2 - 13. Let t(v) = 4*v**2 + 74*v - 82. Let h(g) = 2*c(g) - 3*t(g). Let h(l) = 0. What is l?
-20, 1
Let r(n) = -9*n**4 - 3*n**2 - 12*n - 11. Let j(b) = 127*b + 136*b + 6 + b**2 - 257*b + 5*b**4. Let l(p) = -11*j(p) - 6*r(p). Find o, given that l(o) = 0.
-2, -1, 0, 3
Let g = -3157281/7 - -451063. Factor -2/7*p**3 - g*p + 128/7 + 34/7*p**2.
-2*(p - 8)**2*(p - 1)/7
Let b(t) be the second derivative of -t**5/70 - 5*t**4/42 + 22*t**3/7 + 1953*t. Suppose b(j) = 0. Calculate j.
-11, 0, 6
Let g(i) be the second derivative of -i**7/231 - 46*i**6/165 - 173*i**5/110 - 106*i**4/33 - 28*i**3/11 - 188*i + 14. Let g(a) = 0. What is a?
-42, -2, -1, 0
Let s be (420/(-8))/7*21/(630/(-40)). Let t(m) = -m**3 + 5*m**2 - 3*m + 1. Let r be t(4). Factor -r*x**2 - s + 8 + 15*x - 8.
-5*(x - 2)*(x - 1)
Factor -225 + 2746 - 528 + 192*m + 3*m**2 - 30 + 1109.
3*(m + 32)**2
Let d(b) be the first derivative of b**4/8 - 379*b**3/3 + 36472*b**2 - 424128*b + 2957. Suppose d(w) = 0. What is w?
6, 376
Let n(j) be the third derivative of 169*j**8/141120 + 13*j**7/1764 + 5*j**6/252 + 32*j**5/15 + 75*j**2. Let i(h) be the third derivative of n(h). Factor i(t).
(13*t + 10)**2/7
Let f be 516/(-43) - ((-12)/27)/(1/42). Suppose -28/9 - f*a - 8/9*a**2 = 0. Calculate a.
-7, -1/2
Let p(j) be the third derivative of -5 - 13/60*j**5 - 1/8*j**4 - 1/210*j**7 + 3*j**3 + j**2 + 7/120*j**6 + 0*j. Factor p(q).
-(q - 3)**2*(q - 2)*(q + 1)
Suppose -1040*y = -g - 1037*y + 51, 0 = -y - 16. Solve -27783/4 - 189/4*x**2 - 3969/4*x - 3/4*x**g = 0.
-21
Let i(q) be the second derivative of q**4 + 269*q**3/14 - 207*q**2/14 + 18*q + 64. Factor i(w).
3*(4*w - 1)*(7*w + 69)/7
Factor 174 + 246 + 0 + 5*q**2 - 214*q - 3*q**2.
2*(q - 105)*(q - 2)
Factor -12025 - 2649373*m + 524*m**2 - 41843 + 4*m**3 + 2665721*m.
4*(m - 3)*(m + 67)**2
Suppose -1026/5 + 1/5*s**2 - 511/5*s = 0. What is s?
-2, 513
Let o be (-230)/(-23) - (-18 + 28). Let g(j) be the third derivative of 0*j + o - 3/40*j**6 - 33*j**2 + 0*j**4 + 0*j**3 - 4/175*j**7 + 1/50*j**5. Factor g(f).
-3*f**2*(f + 2)*(8*f - 1)/5
Let q(w) be the second derivative of 1/6*w**3 - 1/12*w**5 - 1/6*w**4 + 11*w + 0 - 19/2*w**2. Let b(y) be the first derivative of q(y). Solve b(x) = 0.
-1, 1/5
Let f(z) be the second derivative of -5*z**4/12 - 15*z**3 + 95*z**2/2 + 103*z. Factor f(q).
-5*(q - 1)*(q + 19)
Let t(b) be the second derivative of -9*b**5/20 - 119*b**4/4 - 588*b**3 + 15880*b. Let t(g) = 0. What is g?
-21, -56/3, 0
Find z such that 2/9*z**4 - 98/9*z**2 + 32/3 - 4/9*z + 4/9*z**3 = 0.
-8, -1, 1, 6
Let o = 2013 + -2013. Let l(h) be the third derivative of o + 0*h**3 - 1/42*h**5 - 1/420*h**6 + 0*h - 1/21*h**4 - 13*h**2. Factor l(x).
-2*x*(x + 1)*(x + 4)/7
Let m(x) = -x**2 - 5*x + 11. Let c be m(3). Let w be (c + 15)/((-2)/(-8)). Factor -10*h - 9*h + 3 - 4 - 26*h**2 - w*h.
-(h + 1)*(26*h + 1)
Suppose 53 = -z + 66. Factor 4*r**3 - 7*r - z*r + 12*r**2 + 4*r**2.
4*r*(r - 1)*(r + 5)
Let z(v) be the first derivative of -v**4 + 104*v**3/3 - 218*v**2 + 336*v + 700. What is w in z(w) = 0?
1, 4, 21
Let n be ((-102)/(-12) + -8)*-4438. Let o = n - -4441/2. Factor 27/2*d - 243/8*d**2 - o.
-3*(9*d - 2)**2/8
Suppose 48 = -13*m + 16*m + 5*i, -4*m + 30 = i. Let l(n) be the second derivative of 0*n**5 + 27*n - 1/54*n**4 + 0 + 0*n**2 + 0*n**3 + 1/135*n**m. Factor l(h).
2*h**2*(h - 1)*(h + 1)/9
Let c(l) be the second derivative of -2/147*l**7 + 12*l + 8/3*l**3 + 24/7*l**2 - 2/21*l**6 - 3/35*l**5 + 1 + 17/21*l**4. Let c(f) = 0. Calculate f.
-3, -2, -1, 2
Let v(x) be the first derivative of -x**6/3 - 296*x**5/35 + x**4/2 + 1184*x**3/21 + 12*x**2 - 6714. What is h in v(h) = 0?
-21, -2, -1/7, 0, 2
Let r be (-386)/(-5790) - 262/(-120). Let a(g) be the first derivative of -3/8*g**4 + 29 - 3/10*g**5 + 5/2*g**3 - r*g**2 + 0*g. Factor a(z).
-3*z*(z - 1)**2*(z + 3)/2
Let f(s) be the third derivative of s**6/40 + 206*s**5/5 - s**2 - 2510*s. Factor f(b).
3*b**2*(b + 824)
Solve -2*k**2 - 1445*k + 2127*k + 1704*k + 1761 - 6541 + 4*k**2 = 0.
-1195, 2
Let b(h) = 5*h**2 + 2983*h - 1194. Let a(p) = -5*p**2 - 2983*p + 1194. Let i(j) = -6*a(j) - 5*b(j). Factor i(z).
(z + 597)*(5*z - 2)
Let i = 3787 + -11359/3. Let j(n) be the second derivative of -1/3*n**3 - 1/7*n**7 + 0 - n**4 - 6/5*n**5 - 8*n + 0*n**2 - i*n**6. Factor j(m).
-2*m*(m + 1)**3*(3*m + 1)
Let t = 317 + -245. Factor -s**2 - t + 67 + s - 7*s + 0*s.
-(s + 1)*(s + 5)
Let n = -274883 + 274885. Find r such that -2/3*r**4 - 136/3*r + 10*r**n + 17/6*r**3 + 32/3 = 0.
-4, 1/4, 4
Let p(v) be the third derivative of 1/900*v**6 + 0 - 1/9*v**4 + 0*v + 149*v**2 - 19/450*v**5 + 0*v**3. Solve p(m) = 0.
-1, 0, 20
Let y = 140 + -86. Let o = y + -54. Factor x**2 - 374*x + o*x**2 + 374*x - 1.
(x - 1)*(x + 1)
Find z such that 189/5*z**2 + 1/5*z**4 + 0 + 54*z + 36/5*z**3 = 0.
-30, -3, 0
Let 100/11*s**2 - 38/11*s**3 + 0 + 336/11*s - 2/11*s**4 = 0. What is s?
-21, -2, 0, 4
Let s(n) = 3*n**3 + 88*n**2 - 329*n - 2334. Let u be s(-32). Factor 3*p + 1/8*p**u + 18.
(p + 12)**2/8
Let m(n) be the third derivative of n**9/141120 - n**8/5880 + n**7/1680 - 83*n**5/60 - 6*n**2 + 7. Let a(g) be the third derivative of m(g). Factor a(x).
3*x*(x - 7)*(x - 1)/7
Find q such that 1/11*q**3 + 0 - 426/11*q**2 + 45369/11*q = 0.
0, 213
Let n(k) be the third derivative of 243/112*k**8 + 0*k + 27/10*k**7 + 0 - 2*k**3 - 51*k**2 - 6*k**4 - 37/4*k**5 - 39/8*k**6. What is d in n(d) = 0?
-1, -1/3, -2/9, 1
Let l(r) be the second derivative of 3*r**5/70 + 127*r**4/7 + 107*r**3 - 3012*r**2/7 + 17*r + 1. Let l(n) = 0. What is n?
-251, -4, 1
Suppose -109*j + 44 = -28*j - 118. Let s(p) be the second derivative of 2*p - 3/2*p**2 + j*p**3 + 0 - 1/10*p**6 + 3/5*p**5 - 3/2*p**4. What is i in s(i) = 0?
1
Let v(w) = 2*w**2 - 40*w - 682. Let u be v(-11). Let c(h) be the first derivative of 1/16*h**6 + 0*h**3 + 19 + 0*h**5 + 0*h**2 - 3/32*h**4 + u*h. Factor c(a).
3*a**3*(a - 1)*(a + 1)/8
Let d(b) be the second derivative of 6/7*b**2 - 3/140*b**5 + 2/7*b**3 + 2*b + 29 - 1/28*b**4. Determine o, given that d(o) = 0.
-2, -1, 2
Let m be (-14)/3*(-5472)/28. Let n = m - 4527/5. Factor -27/5*h - 6/5 + n*h**2.
3*(h - 1)*(11*h + 2)/5
Let s(z) be the third derivative of z**6/540 + z**5/135 + z**4/108 + 173*z**2 - 1. Factor s(w).
2*w*(w + 1)**2/9
Let g be (5736/(-956))/(2/((-2)/3)). Factor -16/3*m + 0 - 2/3*m**g.
-2*m*(m + 8)/3
Let p be (49/11 - 2)/(6820/18755). Factor -11/4*f**2 + 1/4*f**3 + p + 15/4*f.
(f - 9)*(f - 3)*(f + 1)/4