q be (-153)/63*-7 - 13. Suppose -2*g**5 + 3*g - 55*g**q + 6 - 141 - 408*g - 450*g**2 - 3*g**5 - t*g**3 = 0. Calculate g.
-3, -1
Suppose 5*x - 9676 = -4*r, -2*r + 3*x = -0*x - 4860. Suppose 2*c - r = 4*z, 5*z = -2*c + 4*c - 2423. Suppose 4*t + 16*t**3 - 1214 + c + 16*t**2 = 0. What is t?
-1/2, 0
Suppose -8 = -4*v + 12. Suppose v*l - 12 = -l. Factor 5*w + 2 + 2 + 5*w**l - 7 - 7.
5*(w - 1)*(w + 2)
Let t(a) be the third derivative of 2*a**7/15 + 5*a**6/6 + 26*a**5/15 + 4*a**4/3 + 98*a**2 - 12. Find f such that t(f) = 0.
-2, -1, -4/7, 0
Let a(j) be the third derivative of -j**8/1512 - j**7/945 + j**6/180 + j**5/270 - j**4/54 - 6*j**2 - 110. Solve a(k) = 0.
-2, -1, 0, 1
Suppose -4*r + k = -7*r + 97, -4*r + 125 = -3*k. Suppose 33*z - r - 34 = 0. Factor -4/3*b + z - 2/3*b**2.
-2*(b - 1)*(b + 3)/3
Let r be -14 - 447096/(-11310) - 2/(-87)*3. Factor 32/5*t - 2/5*t**2 - r.
-2*(t - 8)**2/5
Factor 1/2*i**3 + 0 - 7/2*i**2 - 9*i.
i*(i - 9)*(i + 2)/2
Let b be (-384)/(-18)*156/7488. Find k such that -b*k**5 - 50/3*k**2 + 104/9*k + 80/9*k**3 - 8/3 - 2/3*k**4 = 0.
-6, 1/2, 1, 2
Let l = 484976/5 - 96995. Determine b, given that -1/5*b**3 - 4/5 + 4/5*b + l*b**2 = 0.
-2, 1, 2
Suppose -l - 172 = -7*n + 6*n, -l - 1 = 0. Determine m, given that -n*m - 161*m + m**2 + 316*m = 0.
0, 16
Let q(z) be the first derivative of -429*z**2/2 - 10*z - 21. Let v be q(-3). Factor -v*o - 2*o**3 - 4*o**2 + 1274*o + 10*o**2 - o**3.
-3*o*(o - 1)**2
Let r(i) = 3*i**2 + 5*i + 4. Let d be r(-7). Factor -d*g + 120*g**2 - 4*g**3 + 64 - 42 - 22.
-4*g*(g - 29)*(g - 1)
Let p(d) be the first derivative of -6*d**6/7 - 312*d**5/35 + 233*d**4/7 + 8*d**3/21 - 424*d**2/7 + 352*d/7 - 1182. Determine b so that p(b) = 0.
-11, -1, 2/3, 2
Let f be 30733/(-146) + -2*(-3)/4. Let x be (-2)/16 + f/(-456). Suppose x*r**2 - 8/3 + 2/3*r = 0. Calculate r.
-4, 2
Let f(r) be the first derivative of -2*r**3/21 - 1378*r**2/7 + 394*r - 3480. Factor f(t).
-2*(t - 1)*(t + 1379)/7
Let f(i) be the first derivative of 5*i**4/4 + 2970*i**3 + 3969405*i**2/2 - 4317. Factor f(x).
5*x*(x + 891)**2
Let a(t) = -95*t**3 + 650*t**2 + 935*t - 1560. Let y(b) = 86*b - 8*b**3 - 81 - 49 - 2*b**3 + 54*b**2 - 8*b + 2*b**3. Let u(g) = 3*a(g) - 35*y(g). Factor u(r).
-5*(r - 13)*(r - 1)*(r + 2)
Factor 6/7*r**2 - 888 - 54/7*r.
6*(r - 37)*(r + 28)/7
Find v, given that 0*v - 1/5*v**3 + 0 + 367*v**2 = 0.
0, 1835
Let p(z) be the third derivative of 3*z**5/100 + 139*z**4/40 + 23*z**3/5 + 34*z**2. Determine b so that p(b) = 0.
-46, -1/3
Let p(w) be the second derivative of -104*w + 28/9*w**3 + 0 - 29/3*w**2 + 1/18*w**4. Find x such that p(x) = 0.
-29, 1
Determine m so that 1/6*m**2 + 0 + 643/6*m = 0.
-643, 0
Let a = -21759 + 43519/2. Let f(y) be the second derivative of a*y**2 + 1/6*y**3 - 1/20*y**5 + 0 - 1/12*y**4 + 25*y. Factor f(r).
-(r - 1)*(r + 1)**2
Factor -193443603/4 - 3/4*k**3 - 1447209/4*k - 3609/4*k**2.
-3*(k + 401)**3/4
Let a(q) be the first derivative of -q**6/120 + q**5/15 + 53*q**2/2 - 50. Let f(k) be the second derivative of a(k). What is c in f(c) = 0?
0, 4
Let m = -424015/11 + 38549. Let 148/11*y**2 - m*y - 70/11*y**5 - 12*y**4 + 94/11*y**3 - 16/11 = 0. What is y?
-2, -1, -2/7, 2/5, 1
Let z(d) be the second derivative of 0 + 4*d**2 + 306*d - 1/42*d**4 + 4/7*d**3. Factor z(n).
-2*(n - 14)*(n + 2)/7
Let h = -242245 + 242247. Let -24*u - 32*u**h - 9/2 = 0. Calculate u.
-3/8
Let i(v) be the second derivative of 3*v**5/20 + 11*v**4/4 + 23*v**3/2 - 105*v**2/2 - 49*v - 4. Factor i(p).
3*(p - 1)*(p + 5)*(p + 7)
Let v be 3/12 + (89/12 - 12/2). Determine r so that 1 + v*r**2 + 1/3*r**3 + 7/3*r = 0.
-3, -1
Let i = 21243/8 + -2652. Let u = -16047/4 - -32097/8. Factor -i*t**2 + u*t**3 + 45/8*t - 21/8.
3*(t - 7)*(t - 1)**2/8
Let s(l) = l**3 - 5 + 10 + 0*l - l - 4. Let z(u) = 2*u**3 + 2*u**2 + 6*u + 10. Let g(r) = 4*s(r) - z(r). Determine h, given that g(h) = 0.
-1, 3
Let n(x) = x**4 + x**3 + x - 1. Let y(o) = o**3 + 2054*o**4 - 10*o**3 - 73 - 135*o - 2046*o**4 - 97*o**2. Let k(t) = 36*n(t) - 4*y(t). Factor k(p).
4*(p + 1)**2*(p + 8)**2
Let x(t) = 11*t + 27. Let n be x(-2). Factor -25*k**2 + 15 + 15*k + 20*k**2 - n*k.
-5*(k - 3)*(k + 1)
Let i(d) = d**3 - 37*d**2 - d + 40. Let j be i(37). Let o(t) be the first derivative of 2/9*t**2 + 10/27*t**j - 8 - 7/18*t**4 + 0*t. Factor o(l).
-2*l*(l - 1)*(7*l + 2)/9
Let n be (-15)/2*(6 + (-7 - 1)). Let v be 7/(-14)*2 + 175/n. Solve -v - 28/3*j**3 - 4/3*j**4 - 24*j**2 - 80/3*j = 0 for j.
-2, -1
Let v(p) be the second derivative of 12*p**2 + 0 - 67*p - 1/12*p**4 - 5/3*p**3. Factor v(m).
-(m - 2)*(m + 12)
Let v = 1330 - 1323. Suppose -85 = v*g - 106. Factor 0 + 4/7*o**4 - 4/7*o**2 - 2/7*o + 0*o**g + 2/7*o**5.
2*o*(o - 1)*(o + 1)**3/7
Let c = -2/8559 + 8563/17118. Let m(a) be the second derivative of -c*a**4 + 3/20*a**5 - 2*a**3 + 0 + 7*a + 12*a**2. Factor m(k).
3*(k - 2)**2*(k + 2)
Let u be -10*1/((-8)/(-36)). Let j be u/30*2/(-5). Factor 3/5 - 6/5*t**3 - 9/5*t**4 + 9/5*t - j*t**5 + 6/5*t**2.
-3*(t - 1)*(t + 1)**4/5
Let q(d) = -2*d**2 - 3896*d - 1897357. Let b(u) = u**2 + 1948*u + 948678. Let a(m) = 10*b(m) + 4*q(m). Factor a(l).
2*(l + 974)**2
Factor -81 - 77/4*v**2 - 80*v + 1/4*v**3.
(v - 81)*(v + 2)**2/4
Let k(c) be the second derivative of c**7/14 - 6*c**6/5 - 45*c**5 + 1783*c**4/2 + 4395*c**3/2 - 11475*c**2 + 10539*c. Let k(v) = 0. Calculate v.
-17, -2, 1, 15
Let h = 41245504/2387 - 190090/11. Let g = -8/31 - h. Factor 0 - g*r**2 - 4/7*r.
-2*r*(5*r + 2)/7
Let f be 4/3*30/20. Factor 36*d**5 - 35*d**5 + d**f - d**4 - 4*d**3 + 3*d**5.
d**2*(d - 1)*(d + 1)*(4*d - 1)
Let i(h) = -h**3 + 40*h**2 + 4. Let l be i(40). Determine b, given that -154*b - 4*b**3 + 4*b**l - 8*b**2 - 151*b + 305*b = 0.
-1, 0, 2
Suppose 10*x - 762 = -112. Factor -20*w - 116 + 4*w**2 - 59*w - x*w + 32*w.
4*(w - 29)*(w + 1)
Let j(b) = -b**3 - b**2 + 2*b + 3. Let y be j(0). What is r in 1 + 17*r**y - r + 6*r - 4*r - 18*r**3 - r**2 = 0?
-1, 1
Let y(g) be the second derivative of -225*g**2 + 5*g**3 + 45*g - 1/24*g**4 + 1. Factor y(f).
-(f - 30)**2/2
Let w(v) be the first derivative of v**5/120 + v**4/24 - v**3/6 - 2*v**2/3 - 33*v - 140. Let c(a) be the first derivative of w(a). Factor c(n).
(n - 2)*(n + 1)*(n + 4)/6
Suppose 21*y + 208 = 8*y. Let n be (-46)/y - 3/(-24). Determine w, given that -7*w**n - 17*w + 9*w - 2*w**4 + 14*w**2 + 3*w**3 = 0.
-4, 0, 1
Suppose 137/7*c - 22/7*c**2 + 1/7*c**3 - 260/7 = 0. Calculate c.
4, 5, 13
Let p(o) be the first derivative of o**4/4 - 5*o**3/3 - 23*o**2/2 - 8*o + 41. Let q be p(8). Factor 0 + 4/9*w**3 - 4/9*w**2 + q*w.
4*w**2*(w - 1)/9
Suppose 5*i - 6 = r, -5*i - 15163*r = -15159*r + 24. Determine f so that -2*f - 14/5*f**3 + 2/5*f**4 + 22/5*f**2 + i = 0.
0, 1, 5
Let 2/3*j**3 - 88/3*j**2 + 60 - 94/3*j = 0. What is j?
-2, 1, 45
Let r(x) be the first derivative of -x**6/600 - 23*x**2/2 - x - 33. Let s(o) be the second derivative of r(o). Solve s(u) = 0.
0
Let u(d) = 2020*d - 181797. Let a be u(90). Solve 11/4*p**2 + 0 - 3/8*p**4 - 7/8*p**a + p = 0 for p.
-4, -1/3, 0, 2
Let b(q) be the third derivative of 1/120*q**6 - 13/60*q**5 - 28*q**2 + 0 + 0*q - 40/3*q**3 + 7/3*q**4. Determine g, given that b(g) = 0.
4, 5
Let i be (-14 - -15)/(4/(-8)). Let g be (-1)/((25/30)/(1/i)). Factor -g*r**3 + 3/5*r**2 + 0 - 3/5*r**4 + 3/5*r.
-3*r*(r - 1)*(r + 1)**2/5
Determine z, given that -48/7*z**2 + 228/7 - 178/7*z - 2/7*z**3 = 0.
-19, -6, 1
Let f(b) be the first derivative of -b**3/24 - 33*b**2/4 - 1089*b/2 + 1023. Suppose f(o) = 0. What is o?
-66
Let p(b) = -b**2 - 39*b + 504. Let s be p(10). Let y(i) be the first derivative of -s*i**2 - i**4 + 46 + 12*i + 20/3*i**3. Factor y(c).
-4*(c - 3)*(c - 1)**2
Let q = -993615 + 3974461/4. Solve 0 - 1/4*p + q*p**3 + 0*p**2 = 0.
-1, 0, 1
Let p(t) = -5*t**3 - 442*t**2 - 47959*t - 4. Let i(c) = 17*c**3 + 1328*c**2 + 143876*c + 14. Let m(q) = 2*i(q) + 7*p(q). Find x such that m(x) = 0.
-219, 0
Let d(q) be the second derivative of q**5/24 - 95*q**4/36 + 655*q**3/36 + 425*q**2/6 - 1700*q. What is s in d(s) = 0?
-1, 5, 34
Let h(q) be the second derivative of -q**4/12 + 34*q**3/3 + 70*q**2 + 1127*q. Find r such that h(r) = 0.
-2, 70
Let y(z) be the first derivative of z**7/126 - z**5/30 + z**3/18 + 85*z - 51. Let g(p) be the first derivative of y(p). Factor g(h).
h*(h - 1)**2*(h + 1)**2/3
