 - 8*s - 12. Suppose r(o) = 0. Calculate o.
6
Let b be -1 + (-40)/12*(-414)/15. Let v = 93 - b. Determine j so that 13*j**2 + 7*j + 9*j**v - 21*j**2 + 10 = 0.
-5, -2
Suppose -96*g + 58*g = 141*g - 537. Factor 26/3*b**2 + 4/3 - 8/3*b**g - 22/3*b.
-2*(b - 2)*(b - 1)*(4*b - 1)/3
Let s(v) = -v**3 - 11*v**2 - 30*v - 11. Let d be s(-7). Determine b so that 6*b + 0*b**2 + 6*b**d - b**2 - 4*b**2 - 5*b**3 = 0.
0, 2, 3
Solve 177*c - 140*c - 313*c + 2*c**2 - 431*c + 17*c - 692 = 0.
-1, 346
Let q = -47/32 + 87/32. Let r(t) be the first derivative of t - q*t**2 - 9 + 1/2*t**3. Factor r(v).
(v - 1)*(3*v - 2)/2
Factor -1056*v + 568060 + 388424 - 1399*v + 4*v**2 - 1457*v.
4*(v - 489)**2
Let f(c) be the second derivative of c**7/504 - c**6/36 + c**5/6 + 21*c**4/4 - 3*c + 23. Let n(w) be the third derivative of f(w). Factor n(s).
5*(s - 2)**2
Let a(n) be the third derivative of n**5/15 + 137*n**4/4 - 206*n**3/3 - 9*n**2 + n. Factor a(r).
2*(r + 206)*(2*r - 1)
Let l(i) be the first derivative of 5*i**3/9 - 395*i**2/3 + 520*i - 430. Determine n so that l(n) = 0.
2, 156
Let j be 34 - (7 + (-243)/(-12)). Solve -3/4*a**3 - j*a + 0 - 9/2*a**2 = 0.
-3, 0
Find k such that -2/3*k**2 + 23/6*k**4 - 7/2*k**5 + 0*k + 20/3*k**3 + 0 = 0.
-1, 0, 2/21, 2
Let g(p) be the first derivative of 6*p**2 + 0*p + 0*p**3 + 2 + 1/48*p**4 + 1/240*p**5. Let l(y) be the second derivative of g(y). Determine s so that l(s) = 0.
-2, 0
Let w = -573033 + 573035. Factor 12/7 - 2/7*i - 2/7*i**w.
-2*(i - 2)*(i + 3)/7
Let r = 14048 + -56187/4. Determine h so that -15/4 - r*h**2 + 5*h = 0.
1, 3
Let s(h) = 2*h**3 - 11*h**2 - 8*h + 14. Let t be s(6). Suppose 6*v**2 + 6*v**2 - 13*v**t + 3*v + 7*v - 16 = 0. Calculate v.
2, 8
Let n(f) be the second derivative of 10 + 1/3*f**4 + 72*f**2 - 3*f + 8*f**3. Find w, given that n(w) = 0.
-6
Factor -121 + 11*o + 161296*o**2 + 11*o - 161297*o**2.
-(o - 11)**2
Let i = -103 + 106. Factor 3*m**4 + m**3 - 7*m**3 + 6*m**i - 6*m**2 + 3.
3*(m - 1)**2*(m + 1)**2
Let u(x) = -9*x**3 - 66*x**2 + 17*x + 67. Let y(s) = -10*s**3 - 76*s**2 + 18*s + 66. Let w(v) = -6*u(v) + 5*y(v). Factor w(z).
4*(z - 2)*(z + 3)**2
Let g(v) be the third derivative of -v**6/90 - 17*v**5/15 + 80*v**4/9 - 24*v**3 - 443*v**2. Factor g(b).
-4*(b - 2)*(b - 1)*(b + 54)/3
Let u(n) be the second derivative of n**5/4 + 23*n**4/4 + 131*n**3/3 + 84*n**2 - 5321*n. Factor u(l).
(l + 6)*(l + 7)*(5*l + 4)
Let f = 2020 - 2018. Let h = 11 - 7. Factor 10*y**4 + 16*y**2 + y - 24*y**3 + 4*y**4 - 5*y + f*y**h - 4*y**5.
-4*y*(y - 1)**4
Let p = -105021 + 105023. Let -76/5*y**p + 16*y - 4/5 = 0. What is y?
1/19, 1
Let y(w) be the third derivative of w**7/210 + w**6/15 - w**5/20 - 13*w**4/12 - 8*w**3/3 - 551*w**2. Find f, given that y(f) = 0.
-8, -1, 2
Suppose -1052*b - 90 = -1097*b. Factor 29/3*w**4 + 5*w**b + 3*w**5 + 11*w**3 + 2/3*w + 0.
w*(w + 1)**3*(9*w + 2)/3
Let q(j) = j + 5. Let b be q(-3). Suppose -187*t + 25*t**b + 58*t - t**3 - 39*t + 144 = 0. Calculate t.
1, 12
Find o such that 3*o**2 + 948 - 434*o - 291*o - 74*o - 152*o = 0.
1, 316
Let q = -121 - -123. Factor 216*g - 216*g - 2*g**3 - g**2 + 3*g**q.
-2*g**2*(g - 1)
What is l in 63/5*l + 6*l**2 + 3/5*l**3 + 0 = 0?
-7, -3, 0
Let m(r) be the second derivative of r**9/60480 + r**8/53760 - r**7/20160 - 11*r**4/2 + 2*r + 22. Let j(x) be the third derivative of m(x). Factor j(p).
p**2*(p + 1)*(2*p - 1)/8
Let n be (46/(-69)*(-24)/20)/(12/8). Suppose n - 2/15*r**2 + 2/5*r = 0. Calculate r.
-1, 4
Let s(u) be the third derivative of u**6/280 + 19*u**5/20 + 33*u**4/14 - 95*u**2 + 2. Suppose s(k) = 0. Calculate k.
-132, -1, 0
Let v(l) be the first derivative of 229 + 7442*l + 2/3*l**3 - 122*l**2. Find y such that v(y) = 0.
61
Let k be ((-7)/(98/21))/(9/(-552)). Let m be 20/25 - k/(-35). Factor 8/7*j**2 - m + 44/7*j.
4*(j + 6)*(2*j - 1)/7
Let d(c) be the second derivative of c**6/60 - 698*c**5/5 + 487204*c**4 - 2720547136*c**3/3 + 949470950464*c**2 - 4388*c. Find k, given that d(k) = 0.
1396
Let i be ((-2100)/16100)/((-6)/92). Factor -2500/3 - 4/3*m**i + 200/3*m.
-4*(m - 25)**2/3
Let g(d) be the second derivative of d**6/540 - 2*d**5/135 - 5*d**4/108 - 91*d**2/2 - 4*d - 6. Let l(k) be the first derivative of g(k). Factor l(a).
2*a*(a - 5)*(a + 1)/9
Let 155/4*t**2 - 459/4 + 303/4*t + 1/4*t**3 = 0. Calculate t.
-153, -3, 1
Let f(u) = -u**3 + 6*u + u**2 - 2*u**2 - 5*u. Let r(w) = 51 - 25 + 5*w**3 - 3*w + 3*w**2 - 26. Let v(t) = 6*f(t) + 2*r(t). Suppose v(j) = 0. What is j?
0
Let v(d) = -20. Let r(x) = -x - 20. Let u(z) = 5*r(z) - 4*v(z). Let m be u(-5). Factor o**m + 7*o**3 - 13*o**3 + 5*o**3.
o**3*(o - 1)*(o + 1)
Let o = -47 - -51. Suppose 9 = o*a + 1. Factor 4*r + 0*r - 4 - 2*r**a + 2.
-2*(r - 1)**2
Let c(p) be the second derivative of 1 - 20*p - 5/3*p**2 - 1/6*p**3 + 13/36*p**4. Factor c(s).
(s - 1)*(13*s + 10)/3
Let p(m) be the third derivative of 9*m**6/80 - 37*m**5/40 - 5*m**4/2 - 1043*m**2. Let p(k) = 0. Calculate k.
-8/9, 0, 5
Let j(k) be the first derivative of 2*k**5/15 - 2*k**3/3 - 2*k**2/3 + 134. Suppose j(m) = 0. Calculate m.
-1, 0, 2
Let d(m) be the second derivative of 0*m**2 + 1/189*m**7 + 4/27*m**4 + 7/135*m**6 - 251*m + 0*m**3 - 1 + 7/45*m**5. What is v in d(v) = 0?
-4, -2, -1, 0
Let i be (2/(-10))/((-1284)/3210). Let q(u) be the first derivative of -3/2*u**4 + i*u**6 + 3/2*u**2 - 6*u - 6/5*u**5 + 15 + 4*u**3. Find p such that q(p) = 0.
-1, 1, 2
Let g(h) = 4*h**2 + 2294*h + 2266. Let c(t) = t**2 + 2*t - 11. Let o(q) = 2*c(q) - g(q). What is s in o(s) = 0?
-1144, -1
Let n(d) = -d**2 + 7*d - 3. Let o be n(6). Let b be 1 + 47/5 - (-665)/(-475). Factor 6*j**3 + b + j - 8 - 8*j**3 - 14*j**o - 16*j**2.
-(j + 1)*(4*j - 1)*(4*j + 1)
Let n(p) be the second derivative of -p**6/105 + 3*p**5/35 + 2*p**4/7 - 88*p**3/21 + 96*p**2/7 - 2*p + 18. Determine g so that n(g) = 0.
-4, 2, 6
Let v = -1801 + 1770. Let k be 1/3*(-22)/(9 + v). Let 10/3*p + 0 - k*p**2 = 0. What is p?
0, 10
Solve 0 - 96*h**2 + 4/5*h**4 - 1088/5*h - 36/5*h**3 = 0.
-4, 0, 17
Let l(h) = 2*h**3 - 2*h**2 + 7*h + 17. Let c be l(-5). Let z = c + 321. Factor 0 + 2/11*o**2 - 4/11*o + 2/11*o**z.
2*o*(o - 1)*(o + 2)/11
Let t be 1027/(-143) - (-10)/55. Let n be (8 + 2502/(-315))/((-1)/t). Suppose -4/5 - 1/5*d**3 + 7/5*d - n*d**2 = 0. Calculate d.
-4, 1
Let x(m) be the second derivative of 3*m**5/20 - m**4/12 + 5*m**3/6 - 5*m**2/2 - 14*m. Let s be x(2). Determine n so that 65 - s + n - 20 - 26 + n**2 = 0.
-3, 2
Suppose 94277*h**4 - 47133*h**4 + 2*h**3 - 47136*h**4 - 32*h**2 - 8*h = 0. Calculate h.
-2, -1/4, 0, 2
Determine h, given that 301/2 - 1/2*h**2 - 150*h = 0.
-301, 1
Factor -2*j**2 - 36/11 - 138/11*j.
-2*(j + 6)*(11*j + 3)/11
Suppose 5*r + 4*c - 17 = 0, 2*r - 6 - 10 = 3*c. Let a(w) be the first derivative of -r - 2/3*w**3 - 6*w + 1/2*w**4 - 5*w**2. Suppose a(o) = 0. Calculate o.
-1, 3
Let v be (21/(-1120))/(54/(-30)). Let b(n) be the second derivative of 1/24*n**3 - v*n**4 + 0 - 15*n + 3/16*n**2. Factor b(a).
-(a - 3)*(a + 1)/8
Let v(c) be the first derivative of 3481*c**3/9 - 1298*c**2/3 + 484*c/3 - 3387. Find m, given that v(m) = 0.
22/59
Let r(j) be the first derivative of j**6/1980 - j**5/22 - 2*j**3 - 9*j - 4. Let w(y) be the third derivative of r(y). Let w(g) = 0. Calculate g.
0, 30
Let w(n) = -3*n**2 + 15*n - 55 - 47 + 96. Let r(q) = 8*q**2 - 44*q + 19. Let j(i) = 6*r(i) + 17*w(i). Factor j(p).
-3*(p - 1)*(p + 4)
Let w(b) be the third derivative of b**9/30240 + b**8/1680 + b**5/20 + b**3/6 + 43*b**2 + 2. Let l(s) be the third derivative of w(s). Factor l(r).
2*r**2*(r + 6)
Let t(i) = -14*i**3 - 36*i**2 - 58*i - 36. Suppose 0 = o + 99 - 107. Let m(z) = 9*z**3 + 24*z**2 + 39*z + 24. Let v(f) = o*m(f) + 5*t(f). Factor v(g).
2*(g + 1)*(g + 2)*(g + 3)
Let p(t) be the second derivative of -3*t**5/160 + 15*t**4/32 + 9*t**3/16 - 405*t**2/16 - 1858*t - 4. Find r, given that p(r) = 0.
-3, 3, 15
Suppose 5*z - 15 = -3*n, -17 = -5*z - 5*n + 8. Let d(r) = 7*r + 131. Let l be d(-18). What is u in l*u + z + 5/2*u**2 - 5/2*u**4 - 5*u**3 = 0?
-2, -1, 0, 1
Let w = 57293 + -229163/4. Let -w*x**2 - 3/4*x - 3/2*x**3 + 0 = 0. Calculate x.
-1, -1/2, 0
Determine c, given that -155/6*c - 5/6*c**4 - 19/2*c**2 + 43/6*c**3 - 25/3 = 0.
-1, -2/5, 5
Let k(m) be the first derivative of -4*m**5/5 - 59*m**4 + 80*m**3 + 480. Suppose k(s