/6 + 0*i**2.
-(i - 1)**3*(i + 1)/6
Suppose -10/3*j**3 + 8/3*j - 22/3*j**2 + 8 = 0. What is j?
-2, -6/5, 1
Factor -76/3*t + 4/3*t**4 + 8 + 28*t**2 - 12*t**3.
4*(t - 6)*(t - 1)**3/3
Let l(v) = -v**3 - 4*v**2 + 3*v - 10. Let s be l(-5). Let w be (-2)/(-8) + (-29)/(-12). Factor s + 8/3*m + 2/3*m**3 - w*m**2.
2*m*(m - 2)**2/3
Let t(s) be the second derivative of -s**4/3 + 11*s**3 + 17*s**2 - 4*s - 7. What is y in t(y) = 0?
-1/2, 17
Let g(p) be the first derivative of p**3/9 - 7*p**2/6 + 4*p + 265. Factor g(i).
(i - 4)*(i - 3)/3
Let q be 7/60 - 278/(-2085). Factor 0 + 1/2*d**4 + d + q*d**5 - d**2 - 3/4*d**3.
d*(d - 1)**2*(d + 2)**2/4
Let q = 91 + -86. Find g, given that -q*g**2 - 13*g**3 - 15*g**3 - 10*g + 5*g**4 + 38*g**3 = 0.
-2, -1, 0, 1
Let t(u) be the third derivative of -u**9/26880 - u**8/1344 - 37*u**7/20160 - u**6/480 + u**5/6 + 8*u**2. Let y(n) be the third derivative of t(n). Factor y(x).
-(x + 6)*(3*x + 1)**2/4
Let g be (-12)/50*45*(-2)/6. Factor -3/5*r**2 - 27/5 + g*r.
-3*(r - 3)**2/5
Suppose 0 = -5*b - 4*h - 59, 25 = -2*b + 4*h + 7. Let i = 11 + b. Factor 7/6*c**3 + 1/3*c + i + 3/2*c**2.
c*(c + 1)*(7*c + 2)/6
Let s = 179 + -205. Let q be (-52)/(-338) + (-48)/s. Factor 2/7*b + 0 - 2/7*b**q.
-2*b*(b - 1)/7
Suppose 0 + 69/8*n**2 + 0*n - 3/8*n**3 = 0. What is n?
0, 23
Factor 96 + 74 + 24*z - 8*z**2 - 2*z**3 - 170.
-2*z*(z - 2)*(z + 6)
Let g(l) = -2*l**2 - 48*l + 54. Let p(a) = -a**2 - 50*a + 54. Let b(t) = -3*g(t) + 4*p(t). Let b(x) = 0. Calculate x.
1, 27
Suppose 3*s = -4*n + 60, 5*n - 15 = 4*n + 2*s. Suppose 9*o**3 - 9*o**2 + 3*o**3 - n - 9*o**3 - 27*o = 0. Calculate o.
-1, 5
What is i in 1/3*i**4 - 5/3 + 2*i**3 - 2*i + 4/3*i**2 = 0?
-5, -1, 1
Let v = -22 - -25. Let c be (v - -1)/(-16)*(-2)/2. Suppose 5/4*k**3 - k**5 - c*k - 3/4*k**4 + 0 + 3/4*k**2 = 0. What is k?
-1, 0, 1/4, 1
Let s(f) = 6*f**2 - 26*f - 7. Let z(p) = 2*p**2 - 8*p - 2. Let l(w) = 2*s(w) - 7*z(w). Determine t so that l(t) = 0.
0, 2
Let q(g) be the first derivative of 3*g**5/5 - 9*g**4/4 - 2*g**3 + 18*g**2 - 24*g - 148. Factor q(o).
3*(o - 2)**2*(o - 1)*(o + 2)
Suppose 5*a - 10 = -2*k, 2*a - 4 = 12*k - 14*k. Let o(n) be the first derivative of -3/4*n**2 + a - 1/8*n**4 - 1/2*n - 1/2*n**3. Factor o(m).
-(m + 1)**3/2
Let j(h) = -3*h**2 + 56*h - 125. Let o be j(16). Let s be 285/78 - (-2)/(-13). What is c in -s*c**2 + 15/2*c**o + 0 + 2*c**5 + 1/2*c - 13/2*c**4 = 0?
0, 1/4, 1
Factor -1/2*s - 9/2*s**2 + 9/2 + 1/2*s**3.
(s - 9)*(s - 1)*(s + 1)/2
Let r = -33 - -38. Let u be (3 - 39/9)/(r/(-15)). Factor 0 + 2/7*t**u - 2/7*t**2 - 2/7*t**3 + 2/7*t.
2*t*(t - 1)**2*(t + 1)/7
Let o = 90 - 1435/16. Let a = o - 1/16. Let 0*f + 1/4*f**2 + a*f**4 + 0 - 1/2*f**3 = 0. Calculate f.
0, 1
Let t be 4 - (0*5/(-30))/1. Suppose -2*o**2 - 2/5*o**t + 0 + 4/5*o + 8/5*o**3 = 0. What is o?
0, 1, 2
Suppose 19*j - 94 = 248. Let b be ((-36)/14)/(4*j/(-48)). Find h, given that -2/7 + b*h - 18/7*h**2 = 0.
1/3
Let -103*p**3 + 15*p**4 + 61*p - 50*p**3 - 136*p + 454*p**2 - 49*p**2 = 0. What is p?
0, 1/5, 5
Let i = 65/116 - -241/812. Find q such that -10/7*q**3 + 2*q**2 + 0 - i*q + 2/7*q**4 = 0.
0, 1, 3
Let m(a) be the second derivative of 4/3*a**2 + 0 + 23/54*a**4 + 40/27*a**3 - 1/18*a**5 + 11*a. Suppose m(u) = 0. What is u?
-1, -2/5, 6
Factor -5*s**3 + 23 - 40*s + 6 + 18 + 53 - 55*s**2.
-5*(s - 1)*(s + 2)*(s + 10)
Let p(w) = -4*w**2 + 94*w + 146. Let m(t) = -t**2 + 19*t + 29. Let a be 4/(-3)*-21*-1. Let i(s) = a*m(s) + 6*p(s). Determine k so that i(k) = 0.
-4
Let b = -25 - -20. Let a(h) = h**4 - 21*h**3 - h**2 + 16*h - 5. Let y(t) = 10*t**3 - 8*t + 2. Let p(o) = b*y(o) - 2*a(o). Factor p(f).
-2*f*(f - 1)*(f + 1)*(f + 4)
Let p(x) = -x + 1. Let o(l) = l**2 - 13*l - 15. Let v(a) = 2*o(a) - 10*p(a). Find h such that v(h) = 0.
-2, 10
Let g be 12/(-231)*(-2 + -5). Factor g - 2/11*f**2 + 2/11*f.
-2*(f - 2)*(f + 1)/11
Suppose -3*d = y + 13, 2 - 1 = -3*d + 2*y. Let j be 1*d + (-88)/(-24). Factor -j*v + 0 - 1/3*v**2.
-v*(v + 2)/3
Let p(l) = -502*l + 5525. Let v be p(11). Suppose v*i - 3/4*i**2 + 15/4 = 0. What is i?
-1, 5
Let x(z) = z**4 + z**3 - z. Let u(v) = -4*v**4 - 12*v**3 + 2*v**2 + 12*v - 4. Let q(h) = u(h) + 6*x(h). Find k, given that q(k) = 0.
-1, 1, 2
Let s(m) = -m**3 + 4*m**2 - 2*m - 2. Let a be s(2). Suppose 3*d - 2 = -y, 2 = -d + a*y - 3*y. Factor z**2 + 9*z**2 + 10*z**d + 15*z**4 - 40*z**3.
5*z**2*(z - 2)*(3*z - 2)
Suppose -21 = 3*s - 5*t, -6*s + 7*s - 4*t + 21 = 0. Factor 10 + 585/4*y**s + 35*y - 345/2*y**2.
5*(3*y - 2)**2*(13*y + 2)/4
Let j(t) be the third derivative of 0*t**4 + 0*t**3 - 1/150*t**6 - 18*t**2 + 1/525*t**7 + 0 + 0*t - 1/50*t**5. Factor j(p).
2*p**2*(p - 3)*(p + 1)/5
Let i be (-15)/5*(-2)/24. Let d(m) be the first derivative of -1/5*m**5 - 1/6*m**6 + i*m**4 + 0*m**2 + 1/3*m**3 + 2 + 0*m. Factor d(s).
-s**2*(s - 1)*(s + 1)**2
Let m(r) be the third derivative of r**8/1344 + r**7/420 - r**5/120 - r**4/96 - 3*r**2 - 11. Factor m(c).
c*(c - 1)*(c + 1)**3/4
Suppose -154*a = -147*a - 21. Let s(f) be the first derivative of -1/6*f**4 + 1/3*f**2 + 0*f**a + 0*f - 6. Determine r so that s(r) = 0.
-1, 0, 1
Let v(i) be the second derivative of 0*i**2 - 1/3*i**3 - 1/12*i**4 + 0 - 11*i. Find y, given that v(y) = 0.
-2, 0
Suppose -107*w**2 + 112*w**2 - w**4 - 3*w - 2*w**5 + 5*w**3 + 0*w**5 - 4*w**4 = 0. What is w?
-3, -1, 0, 1/2, 1
Let d(s) be the second derivative of 1/15*s**6 + 0 + 30*s + 2/3*s**4 - 5*s**2 + 3/5*s**5 - 2*s**3. Solve d(y) = 0.
-5, -1, 1
Let r = 98 - 94. Suppose -20 = -r*l - 5*x, l = -x - 3*x + 16. Factor -4/5*t**2 + 4/5*t**4 - 4/5*t**3 + 4/5*t**5 + 0*t + l.
4*t**2*(t - 1)*(t + 1)**2/5
Let q be ((-4)/(-14) - (-6292)/616)/(0 + 1). Find a such that -9/2*a**2 - q*a**3 + 9/2*a - 9/2*a**4 + 3 = 0.
-1, 2/3
Factor -1/4*n**2 - 7/4*n - 3/2.
-(n + 1)*(n + 6)/4
Let -2/5*q**2 - 2/5*q**3 + 0 + 0*q = 0. What is q?
-1, 0
Let f = 68/5 + -951/70. Let q(u) be the third derivative of -3*u**2 + 0 + 0*u + 1/20*u**5 + f*u**7 + 0*u**3 + 0*u**4 - 1/20*u**6. Factor q(w).
3*w**2*(w - 1)**2
Let i = 3878 + -11632/3. Factor -24*b + 20*b**2 + i*b**4 + 6 - 56/9*b**3.
2*(b - 3)**3*(3*b - 1)/9
Let 55*n**2 + 2*n - 12*n + 70*n - 8*n**3 + 2*n**3 + n**3 = 0. Calculate n.
-1, 0, 12
Suppose 3*y + 4*b = 1 + 14, 5*y - 25 = -3*b. Factor -16*w - 322*w**3 - 100*w**y + 52*w**3 - 75*w**2 - 280*w**4 - 6*w**3 - 37*w**2.
-4*w*(w + 1)**2*(5*w + 2)**2
Let c(s) be the third derivative of -s**8/20160 + s**7/5040 + s**6/360 - 5*s**5/12 + 10*s**2. Let o(x) be the third derivative of c(x). Factor o(h).
-(h - 2)*(h + 1)
Let c(d) = 10*d**3 + 3*d - 3. Let x be c(1). Suppose 5*u + 2*b = -2*b + 10, -5*u + x = 3*b. Factor 0 - 2/11*z + 2/11*z**u.
2*z*(z - 1)/11
Let y(q) be the second derivative of -q**4/96 + 11*q**3/24 - 21*q**2/16 + 484*q. Factor y(z).
-(z - 21)*(z - 1)/8
Let x(q) be the third derivative of q**8/84 - q**7/21 - q**6/10 + 4*q**5/15 + q**4/3 - q**3 - 37*q**2. Find l such that x(l) = 0.
-1, 1/2, 1, 3
Suppose 3*j - 17 = -2*c, 2*c = -2*c - 2*j + 22. Factor -7*q**4 - c*q**2 + 10*q**2 + 4*q + 2*q**3 + q**4 - 6*q**3.
-2*q*(q - 1)*(q + 1)*(3*q + 2)
Factor 194/11*k - 76/11 - 10/11*k**2.
-2*(k - 19)*(5*k - 2)/11
Let g(l) be the third derivative of 0*l - 3/20*l**4 + 1/2*l**3 + 0 + l**2 + 1/100*l**5. Factor g(u).
3*(u - 5)*(u - 1)/5
Let c(o) be the first derivative of 4*o**5/5 - 6*o**4 + 32*o**3/3 + 12*o**2 - 36*o + 10. Determine s, given that c(s) = 0.
-1, 1, 3
Let q(w) = w - 1. Let t(n) = -3*n**2 + 9*n + 6. Suppose v = 4*k + 5*v + 8, 4*v + 35 = 5*k. Let o(a) = k*q(a) - t(a). Factor o(j).
3*(j - 3)*(j + 1)
Let i(a) be the first derivative of a**6/375 - a**5/125 + 19*a - 27. Let s(n) be the first derivative of i(n). Factor s(g).
2*g**3*(g - 2)/25
Let u = -174994/9 + 19444. Let u*t**4 + 8/9 + 10/3*t**2 + 28/9*t + 13/9*t**3 = 0. Calculate t.
-2, -1/2
Suppose -253*s + 642*s = 778. Let f = 0 - 0. Factor 1/2*j**4 - 1/2*j - 1/2*j**s + 1/2*j**3 + f.
j*(j - 1)*(j + 1)**2/2
Factor 9*b**2 + 6*b**2 + 3 + 4*b**3 + 20*b - 3 + 9*b**2.
4*b*(b + 1)*(b + 5)
Let h(z) = z**4 + 1. Let b(k) = 3*k + 6. Let d be b(-7). Let q(v) = -140*v**4 + 100*v**3 - 20*v**2 - 15. Let i(t) = d*h(t) - q(t). Solve i(l) = 0 for l.
0, 2/5
Factor 1/2*i**5 + 2*i**3 - 3*i**2 - 5/2*i + 0 + 3*i**4.
i*(i - 1)*(i + 1)**2*(i + 5)/2
Find c such that -6*c + 144 - 75*c - 3*c**2 + 15*c = 0.
-24, 2