/7.
-2*(q - 2)*(q + 1)/7
Let s(k) = -2*k**2 - 25*k + 4. Let p be s(13). Let t = p + 661. Suppose -33/4*m**4 - 25/2*m**3 - 19/4*m**t + 0 - 1/2*m = 0. What is m?
-1, -1/3, -2/11, 0
Let p(m) be the third derivative of 23*m**2 - 1/24*m**4 + 0 - 1/15*m**5 + 1/40*m**6 + 1/3*m**3 + 0*m. What is q in p(q) = 0?
-2/3, 1
Factor 24*c**5 + 0*c**2 + 63*c**4 + 0 - 75/2*c**3 + 0*c.
3*c**3*(2*c - 1)*(8*c + 25)/2
Let f(s) be the second derivative of -s**5/70 - 10*s**4/7 + 41*s**3/7 - 62*s**2/7 - 2629*s. Find r such that f(r) = 0.
-62, 1
Factor -8*d - 1/5*d**2 - 279/5.
-(d + 9)*(d + 31)/5
Let m = 10959940/9634989 + -70/35293. Let j = m - -18/91. Factor 14/3*f**2 - j + 10/3*f.
2*(f + 1)*(7*f - 2)/3
Let i(z) = 18*z + 20. Let h be i(-1). Find b such that -22 + 12 - b**2 + 5*b + 7*b**h - b**2 = 0.
-2, 1
Let z(i) = -15*i**2 - 154*i + 703. Let q(o) = 5*o**2 + 52*o - 234. Let p(d) = -17*q(d) - 6*z(d). Factor p(c).
5*(c - 4)*(c + 12)
Let l(n) be the second derivative of -13*n**4/4 + 75*n**3/2 + 27*n**2 + 4804*n. Factor l(b).
-3*(b - 6)*(13*b + 3)
Let l(s) be the first derivative of -s**3/15 + 39*s**2/10 - 74*s/5 - 1896. Factor l(o).
-(o - 37)*(o - 2)/5
Let q be 146/14 + (-5)/(-25)*-50. Solve 1/7*m**2 - q + 2/7*m = 0 for m.
-3, 1
Let t be ((-210)/4)/((-153)/204). Let d be (-7 + 791/105)/(4/t). Factor 0 + 4/3*j + 8/3*j**5 + 12*j**3 - d*j**4 - 20/3*j**2.
4*j*(j - 1)**3*(2*j - 1)/3
Let o(k) be the second derivative of -25*k**6/24 + 47*k**5/16 + 5*k**4/8 - 2100*k. Suppose o(n) = 0. What is n?
-3/25, 0, 2
Let v(i) be the first derivative of -7*i**6/27 - 16*i**5/45 + 22*i**4/9 - 28*i**3/27 - 37*i**2/9 + 44*i/9 - 1542. Suppose v(j) = 0. Calculate j.
-22/7, -1, 1
Suppose 5*s - 2*q = -5 + 11, -4*q + 6 = -s. Let r(t) be the first derivative of -1/4*t**4 - 2/3*t**3 + s*t**2 + 8*t + 2. What is i in r(i) = 0?
-2, 2
Suppose 179 = -6*o + 191. Suppose 57 + p**2 + p**2 + 3*p**2 - 2*p**o - 33 - 27*p = 0. Calculate p.
1, 8
Let i(u) be the second derivative of u**6/30 - 3*u**5/4 + 6*u**4 - 18*u**3 + 18*u - 7. Factor i(d).
d*(d - 6)**2*(d - 3)
Let b(c) be the third derivative of -c**6/240 + 31*c**5/30 - 4717*c**4/48 + 8427*c**3/2 + 10401*c**2. Factor b(q).
-(q - 53)**2*(q - 18)/2
Let p be 8/9 - 40/45. Let m(n) be the third derivative of 0*n + p - 1/210*n**5 - 9*n**2 - 2/21*n**3 - 1/28*n**4. Find b, given that m(b) = 0.
-2, -1
Let y(c) be the first derivative of 2*c**4/21 + 23*c**3/21 - 6*c**2/7 + 15*c - 31. Let x(w) be the first derivative of y(w). Factor x(i).
2*(i + 6)*(4*i - 1)/7
Find q, given that 0 + 5/2*q**2 + 3/4*q**3 - 1/4*q**5 - q**4 - 2*q = 0.
-4, -2, 0, 1
Let z(c) be the second derivative of c**7/21 - 71*c**6/5 + 1371*c**5 - 77539*c**4/3 - 2258949*c**3 - 36979173*c**2 + 2274*c. Suppose z(a) = 0. Calculate a.
-9, 77
Suppose -2/9*s**2 - 184/9*s - 40 = 0. What is s?
-90, -2
Let n(i) be the first derivative of 7*i**4 + 680*i**3/3 - 1038*i**2 - 648*i - 101. Suppose n(w) = 0. Calculate w.
-27, -2/7, 3
Let x = 118 - 114. Let m be 125/(-90) - (15/10 - x). Factor 25/9 + m*p + 1/9*p**2.
(p + 5)**2/9
Suppose -82 + 58 = -8*q. Solve n**4 + 2*n**q - 143*n + 143*n - 36*n**2 + 37*n**2 = 0 for n.
-1, 0
Let v = 9/10664 - -341095/181288. Factor -v*q - 2 + 2/17*q**2.
2*(q - 17)*(q + 1)/17
Let r(k) be the first derivative of -k**5/10 - 5*k**4/2 + 43*k**3/6 - 11*k**2/2 - 12477. Let r(u) = 0. Calculate u.
-22, 0, 1
Let h be (-1)/(3/(-12)) + 105/(-30). Let s(z) be the first derivative of 5/2*z**3 - 20 + 13/8*z**4 + h*z**2 + 0*z. Let s(r) = 0. What is r?
-1, -2/13, 0
Let z be 0*1/(-6)*(3 + -2) + (-98)/(-539). Let -z*p**2 + 0 - 16/11*p = 0. Calculate p.
-8, 0
Let b(z) = 2*z**5 + 6*z**4 - 14*z**3 - 57*z**2 + 6. Let j(k) = -k**5 - 7*k**4 + 12*k**3 + 58*k**2 - 4. Let h(w) = 2*b(w) + 3*j(w). Find x such that h(x) = 0.
-2, 0, 5, 6
Let v(c) be the third derivative of c**7/3780 - 11*c**6/540 + c**4/8 + c**3 - 3*c**2 + 13. Let d(b) be the second derivative of v(b). Factor d(q).
2*q*(q - 22)/3
Let l(a) be the third derivative of -2/105*a**7 - 6*a - 1/15*a**6 + 0 + 3*a**2 + 1/3*a**4 + 1/15*a**5 + 0*a**3. What is b in l(b) = 0?
-2, -1, 0, 1
Let x(c) be the third derivative of c**7/56 - 51*c**6/80 - 35*c**5/16 - 3*c**4/4 + 11*c**3/2 + 240*c**2. Determine t, given that x(t) = 0.
-1, 2/5, 22
Suppose 5*j - 25 = 5*w, 5*j + 2*w - 1 = -w. Suppose 3*m = 64*m - 671. Find u such that 19*u**j + 28*u - 4 + 17 - 15*u**2 + m = 0.
-6, -1
Let o(r) be the third derivative of -r**9/16632 - r**8/2310 - r**7/924 - r**6/990 + 38*r**3/3 - 186*r**2. Let j(k) be the first derivative of o(k). Factor j(b).
-2*b**2*(b + 1)**2*(b + 2)/11
Suppose 13*f - 14*f + 2 = 0. Suppose 26 = 5*o + f*h, -27 = -3*o - 4*h - h. Let q**3 - 11*q**4 + 9*q**o - 2*q**2 + 3*q**3 = 0. Calculate q.
0, 1
Let k(m) = 3*m**2 - m. Let r be k(3). Suppose 4*u + 2*d = 5*u + 6, -r = -2*u - 5*d. Factor 6*c**3 + 3*c**u - 3*c**3 + c + c**4 + 0*c.
c*(c + 1)**3
Factor 1/2*p**3 + 8737935/2*p - 8743849/2 + 5913/2*p**2.
(p - 1)*(p + 2957)**2/2
Let f(d) = d**2 - d - 40. Let i be f(-6). Find m, given that m**4 - 105*m**3 + 7*m**i - 2*m**2 - 2*m + 101*m**3 = 0.
0, 1, 2
Let 54*r - 4*r**2 - 5*r**2 + 15*r**2 - 2*r**2 - r**2 + 135 = 0. What is r?
-15, -3
Let h be 120*(-22)/(-770) - 3. Determine d so that -9/7*d**4 + 36/7*d + 12/7 - h*d**5 + 3/7*d**3 + 33/7*d**2 = 0.
-2, -1, 2
Determine y, given that -2794*y - y**4 + 5538*y - 2823*y - 29*y**3 - 26 - 81*y**2 = 0.
-26, -1
Suppose 0 = -43*z + 312 - 150 + 53. Let x(d) be the third derivative of 0 - 12*d**2 + 0*d - 1/120*d**4 + 1/300*d**z + 0*d**3. Factor x(a).
a*(a - 1)/5
Let y(k) be the first derivative of 16/3*k**3 + 28/5*k**5 - 16*k**4 + 45 + 0*k**2 + 0*k. Factor y(a).
4*a**2*(a - 2)*(7*a - 2)
Let i(k) be the third derivative of -118 + 2/315*k**7 + 0*k**4 + 4/135*k**5 + k**2 - 1/1512*k**8 + 0*k**3 + 0*k + 1/36*k**6. Suppose i(r) = 0. What is r?
-1, 0, 8
Let p(v) = -28*v - 275. Let b be p(-10). Suppose -3*d + 22 = b*q, -5*q = -d - 2*d + 2. Factor -2/9*w**q + 4/9*w + 2/3.
-2*(w - 3)*(w + 1)/9
Let b(t) = 4*t - 17. Let n be b(5). Let d = 0 + n. Suppose 6*z**3 + 2*z + z**4 + 0*z**4 + 12*z**2 + d + 8*z = 0. Calculate z.
-3, -1
Find z, given that -4/3*z**3 - 740/3*z + 0 + 248*z**2 = 0.
0, 1, 185
Let r = 483 + -479. Suppose 0 = 4*z - 2*m + 4*m - 14, z - m = -1. Determine q, given that -5*q + 10*q**r + 26*q**2 + 0*q**3 - 36*q**z + 0*q**3 + 5*q**5 = 0.
-1, 0, 1
Let v(k) be the first derivative of -k**6/36 - 3*k**5/2 - 179*k**4/6 - 2296*k**3/9 - 784*k**2 - 2744*k/3 - 493. Find b, given that v(b) = 0.
-14, -2, -1
Let s(c) = -98*c**2 + 2362*c + 13630. Let o(n) = -29*n**2 + 787*n + 4545. Let h(m) = 10*o(m) - 3*s(m). Factor h(p).
4*(p + 6)*(p + 190)
Let b(k) = -2*k**3 + 42*k**2 + 8198*k + 118516. Let d(r) = -r**3 + 43*r**2 + 8203*r + 118526. Let f(g) = 3*b(g) - 2*d(g). Factor f(s).
-4*(s - 56)*(s + 23)**2
Let s be (-9)/2*8/(-12). Factor 25 + 4*d - 4*d**4 + 9*d**4 + 13*d + s*d - 30*d**2 - 20*d**3.
5*(d - 5)*(d - 1)*(d + 1)**2
Let y = -132 - -90. Let l = 46 + y. Solve -57*s**2 - 52*s**2 - 10*s + l*s**2 = 0.
-2/21, 0
Factor -20/3*c**3 + 0 + 1352*c + 1/6*c**4 + 26/3*c**2.
c*(c - 26)**2*(c + 12)/6
Suppose -n - 5*v = -136, 5*n = 4*n + 5*v + 106. Solve -n - 98*p + 3*p**2 + 8*p - 166 + 426 + 536 = 0 for p.
15
Let z(k) be the first derivative of -19*k**4/9 - 2*k**3/9 + 158. Factor z(c).
-2*c**2*(38*c + 3)/9
Let n(m) be the second derivative of -4*m**5/15 + 35*m**4/6 + 6*m**3 - 40*m**2 - 37*m. Let k(s) be the first derivative of n(s). Suppose k(z) = 0. What is z?
-1/4, 9
Let k be (-22)/1 + (846 - 809). Factor -k - 6/5*c**3 - 63/5*c**2 - 36*c.
-3*(c + 5)**2*(2*c + 1)/5
Let q = -297/727 - -23623/7997. Find v such that -q*v + 0 - 2/11*v**3 - 18/11*v**2 = 0.
-7, -2, 0
Suppose 3*x - 136 = -j - 118, -5*j + 24 = 4*x. Suppose 0 = 3*k - 2*k - 4. Factor y**2 + 7/3*y**4 + j - k*y**3 + 2/3*y.
y*(y - 1)**2*(7*y + 2)/3
Let h(i) be the second derivative of i**4/6 - 43*i**3/3 - 90*i**2 - 1369*i. Factor h(p).
2*(p - 45)*(p + 2)
Let n(y) be the second derivative of y**8/11200 + y**7/1400 - y**5/50 - 61*y**4/12 - 11*y + 1. Let r(w) be the third derivative of n(w). Factor r(f).
3*(f - 1)*(f + 2)**2/5
Let d = 31761 - 31758. Factor -2/5*t**d + 0 + 0*t - 2/5*t**4 + 4/5*t**2.
-2*t**2*(t - 1)*(t + 2)/5
Let j(a) = -a**2 - 150*a - 119. Let x(g) = -g**2 - 145*g - 119. Let c(i) = 5*j(i) - 6*x