18*b**4 + 90*b**2 + 4333*b**2 = 0.
-40, 0
Let o be 4/(-98) + 450/11025. Let -3/2*n**3 + 1/2*n**4 + o + 0*n + 0*n**2 = 0. Calculate n.
0, 3
Let w = -25134 + 175990/7. Factor 6/7*y**2 - w*y + 32/7.
2*(y - 8)*(3*y - 2)/7
Let h be (-4)/3*3/(-2). Let a(i) = 2*i**2 + 11*i - 2. Let k(s) = s. Let o(n) = h*a(n) - 22*k(n). Factor o(w).
4*(w - 1)*(w + 1)
Find n such that -351 + 5*n**2 - 10 - n**2 + 38*n - 5*n**2 = 0.
19
Let l = 270864/17 + -15932. Solve -22/17 + l*q + 2/17*q**2 = 0 for q.
-11, 1
Let q = 23 + -20. Let u(y) = -25*y**3 + 64*y**2 - 49*y + 14. Let z(r) = -25*r**3 + 63*r**2 - 48*r + 13. Let s(d) = q*u(d) - 4*z(d). Factor s(k).
5*(k - 1)**2*(5*k - 2)
Let h(v) be the first derivative of v**7/315 - v**5/150 - 9*v + 20. Let q(a) be the first derivative of h(a). Factor q(o).
2*o**3*(o - 1)*(o + 1)/15
Let u be (49/5)/((-19)/3990*-24). Factor -98*q**4 + 0 - u*q**5 - 40*q**2 + 4*q + 126*q**3.
-q*(q + 2)*(7*q - 2)**3/4
Factor 6/5*r + 0 - 8/5*r**2.
-2*r*(4*r - 3)/5
Let t(x) be the first derivative of x**4/4 + x**3/3 + 6. Let o be t(0). Factor o*q**2 + 0 - 1/2*q**4 - 1/2*q**3 + 0*q.
-q**3*(q + 1)/2
Let w(p) be the second derivative of -1/9*p**7 - 15*p + 0*p**2 + 4/15*p**6 + 0 + 0*p**3 - 1/10*p**5 - 1/9*p**4. Let w(j) = 0. Calculate j.
-2/7, 0, 1
Let s(i) be the third derivative of -i**6/600 + i**5/300 + i**4/120 - i**3/30 - 27*i**2. Suppose s(w) = 0. What is w?
-1, 1
Let u be 7931/385 - (11 - -3). Determine p so that 0 + u*p**3 - 3/5*p**2 - 21/5*p**4 - 9/5*p = 0.
-3/7, 0, 1
Let f(m) be the second derivative of -m**5/5 + 7*m**4/6 - m**3 - 2*m + 10. Solve f(h) = 0 for h.
0, 1/2, 3
Suppose 3*g - 2*g = -3, 5*t - 111 = -3*g. Factor -45*d**3 + 4*d + 26*d**3 + t + 23*d**3 - 16*d**2.
4*(d - 3)*(d - 2)*(d + 1)
Let x(s) be the third derivative of -s**7/5040 + s**6/1440 + 7*s**4/12 - 8*s**2. Let j(l) be the second derivative of x(l). Solve j(w) = 0.
0, 1
Let k(v) be the first derivative of v**3/9 + v**2/2 + 106. Find y, given that k(y) = 0.
-3, 0
Let q(w) be the first derivative of 0*w**2 - 1/21*w**6 + 1/14*w**4 + 2/7*w**3 - 6/35*w**5 + 29 + 0*w. Let q(p) = 0. What is p?
-3, -1, 0, 1
Let p = -183 + 184. Let d be p/(-2)*(-4)/(-32)*-4. Factor 0 - d*t**2 + 1/4*t.
-t*(t - 1)/4
Let i(l) be the third derivative of -3*l**7/14 + 155*l**6/24 - 853*l**5/12 + 7525*l**4/24 - 245*l**3 - 4*l**2 - 61*l. Determine q so that i(q) = 0.
2/9, 3, 7
Let j = -59 - -52. Let s(i) = i**2 + 9*i - 8. Let c(g) = 4*g**2 + 28*g - 25. Let y(x) = j*s(x) + 2*c(x). Solve y(b) = 0 for b.
1, 6
Let m(o) be the first derivative of o**5/15 + o**4/3 + 5*o**3/9 + o**2/3 - 102. Factor m(p).
p*(p + 1)**2*(p + 2)/3
Let a(t) = 4021779*t**3 + 129735*t**2 + 1398*t - 1. Let q(x) = -8043560*x**3 - 259470*x**2 - 2795*x. Let j(n) = 5*a(n) + 3*q(n). Suppose j(o) = 0. What is o?
-1/93
Suppose -2921 = -692*m - 845. Let 0 + 1/5*z**m - 22/5*z**2 + 121/5*z = 0. What is z?
0, 11
Let l(i) be the second derivative of i**7/105 - 217*i**6/75 + 11443*i**5/50 + 35641*i**4/30 + 7216*i**3/3 + 2420*i**2 + 162*i. Factor l(c).
2*(c - 110)**2*(c + 1)**3/5
Let s = 1251 + -1251. Factor s + 0*f + 6/5*f**2 - 9/5*f**4 + 3/5*f**3.
-3*f**2*(f - 1)*(3*f + 2)/5
Let d(c) be the second derivative of -c**5/90 - c**4/9 + 32*c**2/9 + 299*c - 1. Solve d(g) = 0.
-4, 2
Let u(h) be the third derivative of -3*h**7/70 - 13*h**6/160 - h**5/60 + h**4/24 + 6*h**2. Determine f so that u(f) = 0.
-2/3, 0, 1/4
Determine u, given that 4*u - 139*u - 300 - 3874 - 29*u - 2550 - u**2 = 0.
-82
Suppose -197*k + 468 = -80*k. Suppose 1/5*c**2 + 1/5*c + 0 - 1/5*c**3 - 1/5*c**k = 0. Calculate c.
-1, 0, 1
Let p(o) = -2*o. Let g(b) = b**3 + 4*b**2 - 21*b + 24. Let r(s) = g(s) + 4*p(s). Let r(y) = 0. Calculate y.
-8, 1, 3
Let g = 8 - -7. Let t be 2/45*(g + (-6 - -1)). Let 2/3*l**2 - 10/9*l + t = 0. What is l?
2/3, 1
Let a(r) = -r**3 - 4*r**2 - 3*r + 4. Let n be a(-3). Suppose 3*g - 2*b + 0 = 2, 3*g - 5*b = -4. Find i such that g*i - 5*i + n - i**2 + 6*i = 0.
-1, 4
Let h(d) be the third derivative of d**8/1344 + d**7/420 - d**5/120 - d**4/96 - d**2 - 2*d. Find f, given that h(f) = 0.
-1, 0, 1
Let t(k) be the third derivative of k**5/420 + 5*k**4/42 + 50*k**3/21 - 39*k**2 - 1. Factor t(g).
(g + 10)**2/7
Let c be 7/35*140/16. Solve 2 + 13/2*t**4 - 13/4*t**3 + 5*t - 17/2*t**2 - c*t**5 = 0.
-1, -2/7, 1, 2
Let k be 6/14*((-4972)/330 + 16). Let -3/5*s**2 - k - 7/5*s + s**4 + 7/5*s**3 = 0. Calculate s.
-1, -2/5, 1
Let y(r) = 74*r**3 + 62*r**2 - 237*r - 245. Let o(i) = -408*i**3 - 340*i**2 + 1304*i + 1348. Let v(m) = -5*o(m) - 28*y(m). Factor v(z).
-4*(z + 1)*(z + 2)*(8*z - 15)
Let g be ((-4)/1)/(-7 + 6). Factor -w**4 + 6 + 9*w - 9*w**3 - 6*w**4 + g*w**4 - 3*w**2.
-3*(w - 1)*(w + 1)**2*(w + 2)
Let s(a) be the first derivative of -18 + 0*a - 16/5*a**5 + 16*a**3 + 2*a**4 - 2/3*a**6 - 18*a**2. Determine g, given that s(g) = 0.
-3, 0, 1
Let x be ((-28)/210)/((-24)/60). Solve 4/3*t - x - t**2 = 0 for t.
1/3, 1
Suppose -z = -3*x + 10, 3*x - 13 = -z + 13. Suppose 3 + x*n + 3/4*n**3 + 15/4*n**2 = 0. What is n?
-2, -1
Factor 413*v - 418*v - 2*v**2 + 30 - 3*v**2.
-5*(v - 2)*(v + 3)
Let t = 1/1773 - -3541/8865. Factor -t*r**2 - 24/5*r - 72/5.
-2*(r + 6)**2/5
Let -18*p + 28 - 15*p**3 - 27*p**2 - 3*p**4 + 0*p**4 - 3*p - 34 = 0. Calculate p.
-2, -1
Let u = 10774/20145 + -2/1343. Let m(a) be the second derivative of 0*a**2 - u*a**6 - 5*a - 6/5*a**5 - 2/3*a**3 - 2/21*a**7 + 0 - 4/3*a**4. Solve m(g) = 0.
-1, 0
Find c, given that 4*c**2 + 76/7*c + 48/7 = 0.
-12/7, -1
Let s(x) = x + 23. Suppose d = -29 + 9. Let t be s(d). Let 1 + 1/2*l**t + 2*l**2 + 5/2*l = 0. Calculate l.
-2, -1
Let p = 221215/7 - 31601. Determine l, given that 2/7*l**4 + 4/7*l - 4/7*l**3 + 6/7 - p*l**2 = 0.
-1, 1, 3
Let d = 763/120 - 19/3. Let u(p) be the second derivative of -5/12*p**3 - d*p**5 + 1/2*p**2 + p + 1/6*p**4 + 0. Factor u(g).
-(g - 2)*(g - 1)**2/2
Let -8/5*f**4 - 8/5 - 4/5*f**3 + 2/5*f**5 + 2/5*f + 16/5*f**2 = 0. Calculate f.
-1, 1, 4
Let d = -137 + 141. Let w(g) be the second derivative of -1/5*g**d - 3/50*g**5 + 0*g**2 + 0 + g - 4/15*g**3 - 1/150*g**6. Solve w(v) = 0.
-2, 0
Let m(d) = -7*d**3 + 11*d**2 + 19*d + 13. Let v(b) = 6*b**3 - 10*b**2 - 18*b - 12. Let g(k) = 5*m(k) + 6*v(k). Factor g(s).
(s - 7)*(s + 1)**2
Let y = 106 + -104. Let r(w) be the second derivative of 0*w**3 - 4*w + 0*w**4 - 1/90*w**5 + 0*w**y + 0. Determine t, given that r(t) = 0.
0
Let u(y) be the first derivative of 5*y**3/9 + 40*y**2/3 + 25*y + 50. Find b such that u(b) = 0.
-15, -1
Let o(g) be the first derivative of -g**4/4 + 2*g**3 + g**2/2 - 6*g - 124. Find x, given that o(x) = 0.
-1, 1, 6
Let w be 2/(-8) - (-18)/8. Suppose -w*r + 11 = -t, 3*t + 18 = -r + 2*r. Solve 20*m**r - 18*m**3 + 2*m + 0*m - 4*m = 0.
-1, 0, 1
Factor -4 - 86/7*o - 6/7*o**2.
-2*(o + 14)*(3*o + 1)/7
Let c = -12979/20 - -649. Let q(v) be the third derivative of 0*v**4 + c*v**5 + 0 + 0*v + 0*v**3 - 5*v**2. Factor q(m).
3*m**2
Let o be (3 - 4) + 3*2. Suppose o*g = -1 + 31. Factor -14 + 14 - g*b**3 - 2*b + 8*b**2.
-2*b*(b - 1)*(3*b - 1)
Let s(f) be the third derivative of f**6/30 - 49*f**5/20 - 63*f**4/8 - 19*f**3/3 + 2*f**2 - 107. Factor s(v).
(v - 38)*(v + 1)*(4*v + 1)
Suppose 2*g + 320 = -4*a + 58, 5*a + 539 = -4*g. Let k = 141 + g. Factor k - 3/5*h**3 + 0*h**2 + 0*h.
-3*h**3/5
Let q be 29/(-120) - 129/(-516). Let r(d) be the third derivative of 0*d**3 + 0 + 0*d - 1/300*d**5 - q*d**4 + 4*d**2. Solve r(l) = 0 for l.
-1, 0
Let b be (-6 + 4)/((-6)/9). Factor 7*r + 44*r**2 + r**4 + 37*r**3 - 8 - 3*r**2 - 8*r**b + 2*r**4.
(r + 1)**2*(r + 8)*(3*r - 1)
Suppose -52*i = -22*i - 26*i. Let p(k) be the third derivative of 0*k**3 - 1/72*k**4 + 11/360*k**5 + i + 0*k - k**2. Factor p(b).
b*(11*b - 2)/6
Let u(l) = 47*l**3 + 2*l**2 - 3*l + 2. Let p be u(1). Let s be (-3 - (-152)/p)/(2/8). Factor 1/3*f**4 - 1/3 + 0*f**2 - 2/3*f + s*f**3.
(f - 1)*(f + 1)**3/3
Let b(l) be the second derivative of l**5/30 - 31*l**4/18 + 12*l**3 - 6*l + 1. Determine q so that b(q) = 0.
0, 4, 27
Suppose -3*f**2 + 0*f**2 + f**2 - f**2 + 56*f + 5*f**2 + 392 = 0. What is f?
-14
Let c(t) be the third derivative of -t**6/180 - t**5/30 + t**4/4 - 4*t**3 + 22*t**2. Let h(j) be the first derivative of c(j). Solve h(o) = 0.
-3, 1
Let r be 243/36 + -4 - 4/16*3. Factor -8/5*y + 2/5*y**r + 8/5.
2*(y - 2)**2/5
Suppose 13