r o*t + 21*t**2 - t - 25*t**2 + 8.
-4*(t - 2)*(t + 1)
Let b(z) be the second derivative of z**5/15 - 2*z**4 + 24*z**3 + 21*z**2/2 + 5*z. Let i(v) be the first derivative of b(v). Factor i(f).
4*(f - 6)**2
Find p such that 0*p**2 + 0*p + 0 + 3/5*p**3 = 0.
0
Factor -2*u**2 + 0 + 0*u + 4/3*u**3 + 10/3*u**4 - 8/3*u**5.
-2*u**2*(u - 1)**2*(4*u + 3)/3
Let t be ((-4)/(-10))/(5/(-300)). Let y be (-5*t/20)/3. Determine o so that 12*o**4 - 3 + 4*o**y - 13 - 4*o**3 - 28*o**3 + 32*o = 0.
-1, 2/3, 1, 2
Let l(v) be the first derivative of 9*v**3 - 132*v**2 - 60*v + 2. Factor l(k).
3*(k - 10)*(9*k + 2)
Let c(f) be the second derivative of 3*f**6/20 - 101*f**5/40 + 193*f**4/24 - 119*f**3/12 + 9*f**2/2 + 251*f. Factor c(s).
(s - 9)*(s - 1)**2*(9*s - 2)/2
Let h(s) be the first derivative of s**6/360 + s**5/40 + s**4/12 + 8*s**3/3 + 5. Let f(w) be the third derivative of h(w). Solve f(a) = 0 for a.
-2, -1
Let u(p) = -2*p**2 - 63*p - 143. Let f be u(-29). Find j, given that -2/3*j + 0 - 1/3*j**3 + j**f = 0.
0, 1, 2
Let q(g) = g**3 + 23*g**2 + 20*g - 41. Let l be q(-22). Factor 22*h**3 - 3*h - l*h**5 + 16*h**3 - 32*h**3.
-3*h*(h - 1)**2*(h + 1)**2
Solve 4*w**2 + 521 + 0*w**2 - 155*w - 560 = 0.
-1/4, 39
Factor 154 + 288*l + 3*l**2 + 123 + 287.
3*(l + 2)*(l + 94)
Let a(o) = o - 1. Let h(t) = -9*t**2 - 11*t + 10. Let q(d) = -6*a(d) - h(d). Let v(s) = 8*s**2 + 4*s - 4. Let b(j) = -4*q(j) + 5*v(j). Solve b(w) = 0 for w.
-1, 1
Factor 138351*t - 39*t**2 - 138351*t + 3*t**3.
3*t**2*(t - 13)
Let v(r) be the second derivative of -8/3*r**3 + 0*r**2 + r**4 + 4*r + 0 - 1/10*r**5. Factor v(i).
-2*i*(i - 4)*(i - 2)
What is l in 3*l**2 - 15*l**4 + 12*l**5 + 48*l**2 - 36*l**3 + 6*l**4 - 18*l = 0?
-2, 0, 3/4, 1
Solve 13/2*r**2 - 25/2*r + 5/8*r**3 - 6 = 0 for r.
-12, -2/5, 2
Let z be 6/(-9) - (-39)/18. Let d be (-8)/(-3)*2/(16/6). Factor 3*j + 0 - 3*j**3 + z*j**d - 3/2*j**4.
-3*j*(j - 1)*(j + 1)*(j + 2)/2
Suppose 7*u - 11*u = 32. Let c be (6*1)/(72/u + 12). Find k such that -8/7*k**5 - 2/7*k + 0 - 2*k**c - 30/7*k**3 - 26/7*k**4 = 0.
-1, -1/4, 0
Let l(f) be the third derivative of -15*f**8/112 + 11*f**7/14 - 19*f**6/24 - 11*f**5/4 + 5*f**4 - 10*f**3/3 + 129*f**2. Determine p so that l(p) = 0.
-1, 1/3, 2
Let d(w) be the third derivative of w**6/40 - w**5/20 - 5*w**4/8 - 3*w**3/2 - 170*w**2. Solve d(o) = 0.
-1, 3
Let z(p) be the first derivative of -2/9*p - 2/27*p**3 + 2/9*p**2 + 3. Find u, given that z(u) = 0.
1
Suppose 0 = -3*r + m + 17, 4*r + 923*m - 919*m = -20. Find l such that 10/9*l**r - 34/9*l**2 - 8/9 + 32/9*l = 0.
2/5, 1, 2
Let l(m) be the first derivative of m**6/51 + 4*m**5/17 + 13*m**4/34 - 40*m**3/17 + 36*m**2/17 + 371. Determine o so that l(o) = 0.
-6, 0, 1
Solve -915*k**2 + 28*k + 26 + 24 + 3*k + 920*k**2 + 4*k = 0 for k.
-5, -2
Let t be 0 - -17 - 8/1. Let d(v) be the second derivative of v**2 + 1/6*v**4 - t*v + 2/3*v**3 + 0. Factor d(b).
2*(b + 1)**2
Suppose 2*f = 5*o + 9, -2*f - 10*o = -6*o. Let d(j) be the second derivative of -3*j**f - 3/20*j**5 + 0 - 6*j + 0*j**4 + 3/2*j**3. Factor d(k).
-3*(k - 1)**2*(k + 2)
Let o(g) be the second derivative of -g**5/10 + 4*g**4/3 - 7*g**3 + 18*g**2 + 5*g - 1. Factor o(k).
-2*(k - 3)**2*(k - 2)
Suppose r - u = 7, -2*r = -3*u - 17 - 2. Let c(o) be the first derivative of o**3 - 4 + 0*o**4 + 0*o**r + 0*o - 3/5*o**5. Solve c(p) = 0.
-1, 0, 1
Let s(u) be the third derivative of u**8/672 + u**7/20 + 49*u**6/120 - 71*u**5/60 - 33*u**4/16 + 121*u**3/12 + 13*u**2 - 1. Find n, given that s(n) = 0.
-11, -1, 1
Let l(d) be the third derivative of -11*d**7/735 + 13*d**6/42 - 12*d**5/5 + 152*d**4/21 + 128*d**3/21 - 2*d**2 - 13. Let l(v) = 0. What is v?
-2/11, 4
Suppose 45 = 4*l - 7*l. Let t be -3 + (-40)/l - (-20)/6. Factor -4/5*b**2 + 2/5*b**t + 2/5*b + 0.
2*b*(b - 1)**2/5
Let n(v) be the first derivative of -6*v - 4*v**2 - 2/3*v**3 - 4. Suppose n(h) = 0. What is h?
-3, -1
Factor -30/23*x - 48/23*x**2 - 22/23*x**3 - 4/23.
-2*(x + 1)**2*(11*x + 2)/23
Let v(d) be the first derivative of -d**5/25 - 9*d**4/20 - 4*d**3/5 + 8*d**2 + 192*d/5 - 41. Determine b, given that v(b) = 0.
-4, 3
Let q = 8 + 65. Let n = q - 64. Solve -5*s**3 + 7/2*s**4 - n*s**2 - 1/2*s**5 + 27/2 + 27/2*s = 0 for s.
-1, 3
Solve 1716/7*w**2 - 676*w - 17576/7 - 148/7*w**3 + 4/7*w**4 = 0 for w.
-2, 13
Let p be (-1)/3*(6 - (-18)/(-3)). Let l(f) be the second derivative of -1/110*f**5 + 1/33*f**4 + 0*f**2 + p - 4*f - 1/33*f**3. Let l(c) = 0. What is c?
0, 1
Let v(r) = -20*r**2 + 61*r - 178. Let u(g) = -7*g**2 + 20*g - 60. Let m(w) = 17*u(w) - 6*v(w). Factor m(y).
(y - 24)*(y - 2)
Let d(k) be the first derivative of k**5/60 + k**4/16 - k**3/18 - k**2/2 - 2*k/3 - 83. Solve d(c) = 0 for c.
-2, -1, 2
Let x(f) be the third derivative of -f**6/420 + f**5/30 + f**4/84 - f**3/3 - 3*f**2 - 30*f. What is b in x(b) = 0?
-1, 1, 7
Let o be 9*(-2)/(-6) - -4. Suppose -7*m - o*m + 6*m**2 - 3*m**3 - 12*m**4 + 14*m + 9*m**5 = 0. Calculate m.
-2/3, 0, 1
Let k(z) = -5*z**2 - 11 - 2*z**2 + z**2 - z**3 - 8*z + 0*z**2. Let c be k(-5). Determine q, given that -8*q**2 + 3*q - 6*q**2 + 9*q + 6*q - c = 0.
2/7, 1
Let z(y) be the second derivative of y**4/18 - 29*y**3/27 - 10*y**2/9 - 116*y. What is p in z(p) = 0?
-1/3, 10
Factor 2/11*j**4 + 0 + 14/11*j**2 + 6/11*j + 10/11*j**3.
2*j*(j + 1)**2*(j + 3)/11
Let w(x) be the third derivative of 0 - 17*x**2 + 1/1680*x**8 + 1/210*x**7 + 0*x + 3/10*x**3 + 1/300*x**6 - 7/150*x**5 - 1/40*x**4. Solve w(p) = 0 for p.
-3, -1, 1
Let g(s) be the second derivative of -s**4/120 + 73*s**3/30 - 5329*s**2/20 + 47*s + 6. Factor g(c).
-(c - 73)**2/10
Let r(l) = l**5 + l**4 + l**3 + l**2 + l. Let m(a) = -6*a**5 - 10*a**4 - 12*a**3 - 8*a**2 - 5*a. Let v(z) = m(z) + 5*r(z). Suppose v(b) = 0. What is b?
-3, -1, 0
Suppose 29*h + 56 = 37*h. Let b(v) be the third derivative of 0*v**4 + 1/240*v**6 + 0 - 1/240*v**5 + h*v**2 + 0*v + 0*v**3 - 1/840*v**7. What is n in b(n) = 0?
0, 1
Let d(s) be the second derivative of s**7/252 - s**6/180 - s**5/60 + s**4/36 + s**3/36 - s**2/12 + 597*s. Factor d(y).
(y - 1)**3*(y + 1)**2/6
Determine f so that 2*f**2 + f**2 - 4*f + 4*f**4 - 7*f**2 - 4*f**3 + 8*f**3 = 0.
-1, 0, 1
Let y(t) be the third derivative of t**8/6720 + t**7/1680 - t**5/240 - t**4/96 + t**3/3 + 24*t**2. Let g(v) be the first derivative of y(v). Factor g(i).
(i - 1)*(i + 1)**3/4
Let i(w) be the second derivative of -w**6/60 - w**5/8 - w**4/8 + 5*w**3/12 + w**2 - 3*w + 8. Factor i(n).
-(n - 1)*(n + 1)**2*(n + 4)/2
Let w = 7903/18 - 439. Let y(a) be the third derivative of -1/36*a**4 - 7/180*a**6 - 5*a**2 + 0 - 1/15*a**5 + w*a**3 - 1/126*a**7 + 0*a. Factor y(v).
-(v + 1)**3*(5*v - 1)/3
Solve -200/11*a - 8/11*a**4 + 96/11 + 32/11*a**2 + 86/11*a**3 - 6/11*a**5 = 0 for a.
-4, -2, 2/3, 1, 3
Let a(s) be the first derivative of -s**4/4 + 8*s**3/3 - 7*s**2/2 - 34. Factor a(c).
-c*(c - 7)*(c - 1)
Let k be (-28)/21*6/(-1). Factor -2*l**2 + 4*l**3 + 8 - 26*l**3 + 8*l**3 + 12*l**3 + k*l.
-2*(l - 2)*(l + 1)*(l + 2)
Let i(n) be the third derivative of n**6/120 - 4*n**5/15 - 17*n**4/24 - 396*n**2. Factor i(d).
d*(d - 17)*(d + 1)
Determine c so that 0*c**2 + 7/5*c**3 - 3/5*c**4 - 4/5*c + 0 = 0.
-2/3, 0, 1, 2
Suppose 5*g - 32*f + 29*f + 14 = 0, -2*g = 3*f - 28. Factor -3/4*d**g + 0 + 9/2*d.
-3*d*(d - 6)/4
Let i(m) = m**3 + m**2 + 5*m - 7. Let a(w) be the third derivative of -w**5/60 + w**3/6 + 24*w**2. Let k(r) = -5*a(r) - i(r). Factor k(l).
-(l - 2)*(l - 1)**2
Let r(g) be the second derivative of -g**7/18900 - g**6/2700 - g**5/900 - g**4/6 - 19*g. Let h(q) be the third derivative of r(q). Find l such that h(l) = 0.
-1
Suppose 24*u = 19*u + 60. Let z be 3*16/12 + u/(-7). Factor -z*f**4 + f**2 + 1/7*f + 8/7*f**3 + 0.
-f*(f - 1)*(4*f + 1)**2/7
Let -71*a**2 - 22*a**2 - 51*a**2 + 2*a**3 - 46*a**2 = 0. What is a?
0, 95
Let k = 21378 + -21378. Find h such that h**3 + 7/2*h**4 - 7/2*h**2 + k - h = 0.
-1, -2/7, 0, 1
Let r(w) = -11*w**4 + 7*w**2 + 2*w - 4. Let p(c) = 89*c**4 - c**3 - 55*c**2 - 16*c + 34. Let k(o) = 6*p(o) + 51*r(o). Factor k(m).
-3*m*(m - 1)*(m + 1)*(9*m + 2)
Let x = 16756 - 16753. Let 10*m**2 + 19/2*m + 7/2*m**3 + x = 0. Calculate m.
-1, -6/7
Let o = 509 - 507. What is t in 2/5*t - 2/15*t**o - 4/15 = 0?
1, 2
Suppose -3 + 5/2*p + 3*p**2 = 0. Calculate p.
-3/2, 2/3
Let f = 2150 - 2150. Factor -3/