+ 8 - m**t - 8*m.
2*(m - 2)**2
Suppose 0 = -16*z - 314 - 6. Let c be (-1 + 2)*(0 + (-8)/z). Factor 0 + c*v + 14/5*v**3 - 2*v**2 - 6/5*v**4.
-2*v*(v - 1)**2*(3*v - 1)/5
Suppose 0 = 3*j + 12, 3*k + 0*k = 2*j + 65. Factor 4*d**5 + 12*d**4 + k*d - 6 + 2 - 12*d**2 - 31*d + 8*d**3 + 4*d**2.
4*(d - 1)*(d + 1)**4
Let b(p) = 11248*p + 11250. Let k be b(-1). Factor 1/5*o**k - 43/5*o - 44/5.
(o - 44)*(o + 1)/5
Suppose 7160 - 9505 = -469*u. What is r in 200/9*r**3 + 38/3*r**4 - 32/9 - 64/9*r**2 - 128/9*r - 10*r**u = 0?
-2/3, -2/5, 1, 2
Suppose 63 = -2*a + 15. Let g be (-4)/(-3) - 1192/a. Solve -g*z**5 - 167*z**4 - 21*z**4 - 145*z**5 - 36*z**3 + 20*z**4 = 0.
-3/7, 0
Let v = -7906/7 + 23858/21. Solve 0 + v*t**5 - 65*t**3 + 40/3*t + 25/3*t**4 + 110/3*t**2 = 0.
-4, -1/4, 0, 1, 2
Let b(i) = 15*i**2 - 1606*i - 3222. Let d be b(-2). Determine w so that -4/3*w**5 + 22/3*w**4 - 440/3*w + 20*w**3 - d - 256/3*w**2 = 0.
-3, -1, -1/2, 5
Let x be (2 - 16/6) + 1938/342. Let d(a) be the second derivative of 2/3*a**3 + 2*a + 2/3*a**4 + 1/5*a**x + 0*a**2 + 0. Factor d(c).
4*c*(c + 1)**2
Let a(d) be the first derivative of d**7/280 + d**6/120 - d**5/10 - d**4/2 - 112*d**3/3 - 87. Let z(t) be the third derivative of a(t). Factor z(c).
3*(c - 2)*(c + 1)*(c + 2)
Let o(z) be the second derivative of -z**5/4 - 1045*z**4/12 - 9520*z**3 - 130050*z**2 - 596*z. Suppose o(c) = 0. Calculate c.
-102, -5
Let x be ((-7)/63*0)/(-2). Let q(g) be the third derivative of 10*g**2 + 1/270*g**5 + 0*g - 1/54*g**4 + x*g**3 + 0. Factor q(o).
2*o*(o - 2)/9
Suppose 29*h - 21*h = 1536. Let o be h/100 + 4/50. Find z such that 1/2*z**4 - 3/4*z**3 + 1/4*z**o + 0 + 0*z = 0.
0, 1/2, 1
Let b be 33 + (-4)/(-12)*(9 + 0). Let g be (54/b)/(6/112). Find r such that -g*r**2 + r**4 - 6*r**3 - 8*r - 24*r**2 + 64*r**2 = 0.
0, 2
Let s be ((-1173)/(-6) - 7) + -3. Let u = -184 + s. Suppose -u + 9/4*r - 3/4*r**3 + 0*r**2 = 0. Calculate r.
-2, 1
Let x(o) be the first derivative of 0*o + 1/20*o**5 + 3*o**2 + 9/2*o**3 - 3/4*o**4 - 7. Let f(g) be the second derivative of x(g). Solve f(d) = 0.
3
Suppose 845 + 193 = 519*w. Solve 2/13*z**4 - 10/13*z**3 + 2/13*z**5 + 8/13 - 10/13*z**w + 8/13*z = 0 for z.
-2, -1, 1, 2
Let m(d) be the third derivative of d**5/150 + 233*d**4/60 - 3163*d**2. Factor m(y).
2*y*(y + 233)/5
Let t(b) be the first derivative of -b**5/210 + b**4/6 - 13*b**3/21 - 98*b**2 - 2*b + 253. Let x(h) be the second derivative of t(h). Let x(d) = 0. Calculate d.
1, 13
Suppose 190 = -158*d + 253*d. Let 4/3 + 0*r**d - 2*r + 2/3*r**3 = 0. What is r?
-2, 1
Let z = -148 - -152. Suppose -2*p - 10 = -4*d, 5*p - 4*p = -2*d + 11. Suppose -14*h**3 + 21*h**3 - 2*h**4 - z*h**2 - 13*h**p = 0. Calculate h.
-2, -1, 0
Let a(g) be the third derivative of g**2 + 0*g + 5/3*g**4 + 5/12*g**5 + 14 - 10/3*g**3. Solve a(q) = 0 for q.
-2, 2/5
Let w(a) be the second derivative of a**5/80 - 163*a**4/48 + 6391*a**3/24 + 20667*a**2/8 + 504*a - 2. Factor w(z).
(z - 83)**2*(z + 3)/4
Let i(p) be the first derivative of 4/9*p**2 - 8/3*p + 59 + 2/27*p**3. Factor i(j).
2*(j - 2)*(j + 6)/9
Let d = 95596/63 + -13636/9. Factor 20/7 - 4/7*y**2 - d*y.
-4*(y - 1)*(y + 5)/7
Let p be ((-57)/9 + 1)/((-68)/102). Let y be (0 + p + -4)*(-9)/(-28). Determine w so that -3/7*w**4 + 0*w**2 + 0*w + 0 - y*w**3 = 0.
-3, 0
Suppose -128 = 5*n - 4*u, 0 = -u - 6 + 3. Let o be n/6*(-846)/658. Find x such that 2*x - o + 1/2*x**2 = 0.
-6, 2
Let u = 7240 + -7235. Let r(w) be the third derivative of -1/180*w**6 + 12*w**2 + 19/360*w**u + 0*w + 5/144*w**4 + 0*w**3 + 0. Determine l, given that r(l) = 0.
-1/4, 0, 5
Determine k, given that 2/5*k**5 + 1864/5*k**2 - 376/5*k + 906/5*k**3 - 2496/5 + 20*k**4 = 0.
-39, -8, -2, 1
Let k(q) be the second derivative of q**7/231 + 4*q**6/55 - 17*q**5/110 - 8*q**4/11 + 52*q**3/33 - 206*q. Find c, given that k(c) = 0.
-13, -2, 0, 1, 2
Let y = 79570 + -79568. Suppose -4/7*s - 2*s**3 + 0 + 18/7*s**y = 0. Calculate s.
0, 2/7, 1
Factor -36/11*m**2 - 2/11*m**3 + 0*m + 0.
-2*m**2*(m + 18)/11
Let 372/7 + 8*b - 1/7*b**2 = 0. Calculate b.
-6, 62
Let i(u) be the third derivative of -u**6/20 + u**5/6 + 11*u**4/12 + u**3 + 2*u**2 - 416. Factor i(r).
-2*(r - 3)*(r + 1)*(3*r + 1)
Let s(h) = -3*h**2 + 15*h. Let i(n) be the first derivative of 2*n**3/3 - 4*n**2 + 267. Let a(g) = -9*i(g) - 5*s(g). Find b such that a(b) = 0.
-1, 0
Let s(g) be the third derivative of 1/35*g**6 + 1/7*g**3 + 3*g**2 + 0 - 1/21*g**4 + 0*g - 1/35*g**5 - 1/147*g**7. Factor s(z).
-2*(z - 1)**3*(5*z + 3)/7
Find o such that -15872 - 96*o - 2*o**3 - 32*o**2 + 7935 + 7937 = 0.
-12, -4, 0
Let y be (-6)/(-8)*(-8)/(-3). Find h, given that -71*h**2 - 16 + 20*h - 4*h + 67*h**y = 0.
2
Let u be 16/((-80)/(-135)) + -1 + -1. Suppose 74*q**3 + 3828*q - 3828*q - 14*q**3 + u*q**4 + 20*q**2 = 0. Calculate q.
-2, -2/5, 0
Let n(l) = -218 + l - 213 + 429. Let c(u) = 3*u**2 + 12*u + 18. Let f(o) = c(o) + 9*n(o). Factor f(q).
3*q*(q + 7)
Factor -124998/5*t - 126002/5 + 1002/5*t**2 - 2/5*t**3.
-2*(t - 251)**2*(t + 1)/5
Let n(h) be the third derivative of -h**7/1890 + h**6/108 - h**5/45 - 29*h**4/108 - 35*h**3/54 + 5830*h**2. Factor n(w).
-(w - 7)*(w - 5)*(w + 1)**2/9
Factor -236/7*h - 2/7*h**2 - 1130/7.
-2*(h + 5)*(h + 113)/7
Solve 552/5 - 1648/5*h - 198*h**2 - 14/5*h**3 = 0.
-69, -2, 2/7
Solve 120/7*o - 4*o**2 - 32/7 = 0.
2/7, 4
Let w(l) = 53*l**2 + 157314*l + 247432872. Let s(h) = 42*h**2 + 125851*h + 197946298. Let m(j) = 14*s(j) - 11*w(j). Solve m(n) = 0.
-3146
Let c = -36 - -38. Suppose c*l = 8 - 2. Find x, given that 6*x**3 - 23*x**5 + 2*x**4 + 21*x**5 - 2*x**l = 0.
-1, 0, 2
Let m = 68 + -21. Suppose m + 56 = f. Solve 55 - 37 - 22*s + s**2 + f = 0.
11
Let q = -1/21773 + 43557/239503. Solve 4/11*x**2 - 2/11*x**3 - 4/11 + q*x = 0 for x.
-1, 1, 2
Let f(b) be the second derivative of -b**5/40 - 293*b**4/24 + b - 227. Determine w so that f(w) = 0.
-293, 0
Suppose 54*w - 420*w = 0. Let o(v) be the third derivative of -3/80*v**6 + 0 + 0*v + w*v**5 + 1/140*v**7 + 0*v**3 + 0*v**4 + 46*v**2. Solve o(m) = 0 for m.
0, 3
Let c(z) be the first derivative of 0*z - 16 + 0*z**2 - 10/3*z**3 + 0*z**5 - 1/480*z**6 + 1/32*z**4. Let h(i) be the third derivative of c(i). Factor h(u).
-3*(u - 1)*(u + 1)/4
Factor -3284/5*z + 1348082/5 + 2/5*z**2.
2*(z - 821)**2/5
Let l(n) be the third derivative of -22*n**5/195 - 89*n**4/156 - 2*n**3/39 + 2103*n**2. Factor l(c).
-2*(c + 2)*(44*c + 1)/13
Suppose 1/4*w**3 + 81 - 30*w - 23/4*w**2 = 0. What is w?
-6, 2, 27
Let a be 1990/50 + -39 + (-24)/(-70). Suppose -2/7*h**2 + a*h + 0 = 0. Calculate h.
0, 4
Let o(l) = 23*l**3 + 289*l**2 - 401*l + 80. Let m(q) = 11*q**3 + 145*q**2 - 201*q + 40. Let t(f) = 9*m(f) - 5*o(f). Suppose t(b) = 0. Calculate b.
-10, 1/4, 1
Let a(l) be the second derivative of 14*l**6/135 - 82*l**5/45 - 8*l**4/9 + 88*l - 14. Factor a(c).
4*c**2*(c - 12)*(7*c + 2)/9
Let t(y) be the third derivative of 0 - y**3 + 0*y - 7/20*y**5 - 19/24*y**4 - 3/40*y**6 - 1/210*y**7 + 126*y**2. Factor t(x).
-(x + 1)**3*(x + 6)
Let f = 52986064/4014095 + -2/802819. What is d in 288/5*d + 4/5*d**3 - f*d**2 - 128/5 = 0?
1/2, 8
Let j(c) be the second derivative of -c**7/189 - 19*c**6/135 - c**5/5 + 18*c + 4. Factor j(n).
-2*n**3*(n + 1)*(n + 18)/9
Let l = 81023 - 81021. Suppose 3/4*a**3 - 9/4*a**l + 0 + 0*a = 0. What is a?
0, 3
Let b(g) = 2*g**3 - 14*g**2 + 2*g - 12. Let l be b(7). Factor k**5 + 7*k**4 - 14*k - 26*k - 16*k - 16*k**l + 40*k - 3*k**4.
k*(k - 2)*(k + 2)**3
Let r(a) = -2*a**2 - 2838*a + 56. Let b(s) = -s**2 - 2837*s + 42. Let i(y) = 4*b(y) - 3*r(y). Factor i(m).
2*m*(m - 1417)
Let q(u) be the second derivative of u**5/90 + 121*u**4/54 - 86*u + 20. Factor q(k).
2*k**2*(k + 121)/9
Let p(m) be the second derivative of -3*m**7/98 - 4*m**6/35 - 3*m**5/140 + 2*m**4/7 + 2*m**3/7 - 296*m. Suppose p(n) = 0. Calculate n.
-2, -1, -2/3, 0, 1
Let p(y) be the second derivative of -2*y**4 + 17 + 49/135*y**6 + 0*y**2 + 16/27*y**3 + 28/15*y**5 + 2*y. Factor p(n).
2*n*(n + 4)*(7*n - 2)**2/9
Let o(h) = -19*h**3 - 1203*h**2 - 1524*h - 355. Let a(s) = -28*s**3 - 1805*s**2 - 2287*s - 531. Let t(r) = -5*a(r) + 7*o(r). Factor t(b).
(b + 1)*(b + 85)*(7*b + 2)
Let b be (-2)/5 + ((-3132)/(-90) - 34). Let z = 11886/7435 + 2/1487. Let b*q**3 + 6/5*q**4 + 16/5 - z*q - 28/5*q**2 = 0. What is q?
-2, -1, 2/3, 