9/2*m - 9/2*m**l - 3/2 + 3/2*m**3 = 0.
1
Let z(d) be the third derivative of 0 + 0*d**3 - 9*d**2 + 1/90*d**5 + 0*d - 1/12*d**4. Suppose z(h) = 0. Calculate h.
0, 3
Let k(d) = -15*d**3 - 73*d**2 - 230*d - 148. Let b(s) = 3*s**3 - 2*s**2 + 2*s + 1. Let y(o) = -4*b(o) - k(o). Find w such that y(w) = 0.
-24, -2, -1
Let f = -7746 + 7751. Factor 2/3*g**f + 4/3*g**2 + 2/3*g**4 - 4*g**3 - 2 + 10/3*g.
2*(g - 1)**3*(g + 1)*(g + 3)/3
Let f be 57*((-30)/9 + 3). Let m = -11 - f. Find j such that 0*j**2 - 8*j**3 + 8 - m + 2*j**2 = 0.
0, 1/4
Suppose 2*s + v + 8 = 20, 5*s + v - 24 = 0. Let f + 0*f**2 - 2*f**2 + 3*f + s - 2*f = 0. What is f?
-1, 2
Let m be (-2)/(-5)*163/163. Determine p, given that -4/5 - m*p**3 - 2*p - 8/5*p**2 = 0.
-2, -1
Factor 311 + 10*m - 9*m**2 - 335 + 24*m - m**3.
-(m - 2)*(m - 1)*(m + 12)
Let x(a) be the first derivative of -a**3/18 + 7*a**2/6 + 5*a/2 + 417. Determine v, given that x(v) = 0.
-1, 15
Let o be 18/2 - (0 + 2). Let t(j) = -9*j**2 + 2*j - 3*j + o*j**2 + 3*j**2. Let h(r) = -5*r**2 + 5*r. Let f(y) = -2*h(y) - 14*t(y). Factor f(x).
-4*x*(x - 1)
Let k(b) = 3*b**2 + 20*b - 11. Let f(r) = 21*r**2 + 138*r - 78. Let c(m) = -4*f(m) + 27*k(m). Factor c(h).
-3*(h - 1)*(h + 5)
Let g(u) be the first derivative of -1/3*u**3 + 9 + u + 0*u**2. Factor g(w).
-(w - 1)*(w + 1)
Factor 35 - 17*w**2 - 25*w**2 + 43*w**2 + 12*w.
(w + 5)*(w + 7)
Let n(b) be the first derivative of -b**4/24 + 59*b**3/18 + 129. Solve n(x) = 0 for x.
0, 59
Let d(k) be the first derivative of k**5/8 - 5*k**4/24 - 5*k**3/12 + 5*k**2/4 + k - 24. Let v(p) be the first derivative of d(p). Find j, given that v(j) = 0.
-1, 1
Let j = -2760 + 2760. Factor 0*y + 4*y**4 + 8/5*y**3 - 28/5*y**5 + j*y**2 + 0.
-4*y**3*(y - 1)*(7*y + 2)/5
Let z(i) = -11*i**4 - 4*i**2 + 5. Let p(h) = 2*h**4 + h**2 - 1. Let q(w) = 10*p(w) + 2*z(w). Solve q(s) = 0.
-1, 0, 1
Let w(h) = 7*h**2 - 3*h. Let y(v) = -12*v**2 + 6*v. Let a(x) = -10*w(x) - 6*y(x). Factor a(d).
2*d*(d - 3)
Let y be ((3/4)/(-1))/((-306)/816). Factor -3/5*o**3 + 0 - 1/5*o**5 + 3/5*o**4 + 0*o + 1/5*o**y.
-o**2*(o - 1)**3/5
Suppose -334*t - 12 = -340*t. Suppose -t*d - 4*a = a + 20, -2*d = -3*a - 12. Solve 6/5*c**4 + 2/5*c**2 + d*c + 6/5*c**3 + 2/5*c**5 + 0 = 0.
-1, 0
Suppose -2*z + 2 + 4 = 0. Suppose z*s - 87 = 135. Let 20*q**3 - 219*q**2 - 5 - s*q**4 - 7 - 96*q + 147*q**5 - 71*q**3 + 305*q**4 = 0. Calculate q.
-1, -2/7, 1
Let n(d) = 4*d**2 + 47*d + 478. Let o(z) = -11*z**2 - 140*z - 1436. Let s(y) = -8*n(y) - 3*o(y). Factor s(a).
(a + 22)**2
Let a(j) = -j**2 - 13*j - 32. Suppose -34 + 10 = 6*y. Let t be a(y). Find c, given that -2/13*c + 0 - 6/13*c**2 - 2/13*c**t - 6/13*c**3 = 0.
-1, 0
Factor 1 + 2*q + 62*q**2 + 67*q**2 - 128*q**2 - 4.
(q - 1)*(q + 3)
Suppose 19 = -5*i - 3*q, 2*q - 7 = 5*i - 3. Let r(m) = 1. Let c(z) = -3*z**4 + 18*z**3 - 15*z**2 + 2. Let p(y) = i*r(y) + c(y). Factor p(s).
-3*s**2*(s - 5)*(s - 1)
Let j be (-182)/(-30) + -2 + (-6)/135*9. Determine k so that 2/3*k + 0 - j*k**2 + 3*k**3 = 0.
0, 2/9, 1
Let w(k) be the third derivative of 1/96*k**6 + 1/32*k**4 + 0*k + 14*k**2 + 0 + 1/840*k**7 + 0*k**3 + 7/240*k**5. Factor w(t).
t*(t + 1)**2*(t + 3)/4
Let p = 943 + -939. Factor 0*q**3 + 1/3*q + 2/3*q**p - 2/3*q**2 + 0 - 1/3*q**5.
-q*(q - 1)**3*(q + 1)/3
Let c = 2960 + -2956. Factor c + 1/4*x**2 + 2*x.
(x + 4)**2/4
Let o(d) be the second derivative of d**5/40 + 59*d**4/24 - 31*d**3/6 - 30*d**2 - 262*d - 1. Factor o(n).
(n - 2)*(n + 1)*(n + 60)/2
Determine q so that 435*q - 10*q**2 + 13*q - 1024 - 39*q**2 = 0.
32/7
Let j(k) be the first derivative of k**4/16 + 25*k**3/4 + 171*k**2 - 361*k + 259. What is p in j(p) = 0?
-38, 1
Let v be (0/(7 - 3))/1. Let r(p) be the third derivative of -4*p**2 + 1/48*p**4 + 1/360*p**5 + 0 + 1/18*p**3 + v*p. Factor r(j).
(j + 1)*(j + 2)/6
Let j(t) = 3*t**2 - 2*t - 331. Let p(g) = 28*g**2 - 20*g - 3144. Let d(h) = -48*j(h) + 5*p(h). Factor d(q).
-4*(q - 6)*(q + 7)
Factor 47886*m + 12740*m**2 - 8441*m + 160*m**4 + 81350 - 33330 + 1635*m**3 + 395*m**3 + 5*m**5.
5*(m + 4)*(m + 7)**4
Let c(g) be the first derivative of 18 - 7/11*g**2 - 6/11*g - 10/33*g**3 - 1/22*g**4. Determine d, given that c(d) = 0.
-3, -1
Let j = 93 + -90. Let b(r) be the second derivative of 0 + r + 4/7*r**2 + 4/7*r**j - 1/6*r**4. Factor b(q).
-2*(q - 2)*(7*q + 2)/7
Let m(h) be the first derivative of 4*h**5/5 - 2*h**4 - 4*h**3/3 + 4*h**2 + 87. Factor m(d).
4*d*(d - 2)*(d - 1)*(d + 1)
Suppose 0 = a + x, -2 + 6 = -3*a - 4*x. Let p(q) = -q + 6. Let k be p(a). Let 5*b**3 - b**2 - k*b**3 - 2*b**3 + 0*b**3 = 0. What is b?
0, 1
Determine d, given that 2/15*d**3 + 0*d - 8/15*d**2 + 0 = 0.
0, 4
Let z(g) be the first derivative of -5*g**6/24 + g**5/4 + 45*g**4/16 - 5*g**3/12 - 25*g**2/2 - 15*g + 123. Suppose z(i) = 0. Calculate i.
-2, -1, 2, 3
Let m(x) be the first derivative of -x**4/72 + x**3/18 + 2*x - 8. Let c(a) be the first derivative of m(a). Find w, given that c(w) = 0.
0, 2
Let z(y) be the third derivative of -y**6/600 - 3*y**5/100 + y**4/30 + 6*y**3/5 + 267*y**2. Let z(f) = 0. What is f?
-9, -2, 2
Factor -96*o**2 - 69*o**2 - o**3 + 225*o**2 - 34*o**3.
-5*o**2*(7*o - 12)
Let h(n) be the second derivative of -n**6/90 - 11*n**5/60 - 2*n**4/3 + 2*n**3/9 + 16*n**2/3 + 24*n + 5. Factor h(s).
-(s - 1)*(s + 2)**2*(s + 8)/3
Determine i so that 12/7*i**2 + 0 + 12/7*i**3 - 8/7*i - 8/7*i**4 = 0.
-1, 0, 1/2, 2
Let x(v) be the second derivative of -v**5/10 + v**4/3 + v**3/3 - 2*v**2 + 16*v. Factor x(b).
-2*(b - 2)*(b - 1)*(b + 1)
Factor 4/7*z**5 + 0 + 0*z**2 + 0*z + 18/7*z**3 + 38/7*z**4.
2*z**3*(z + 9)*(2*z + 1)/7
Find d, given that 5/2*d - 2*d**3 - 3/2*d**2 + 9/4*d**4 - 3/4 - 1/2*d**5 = 0.
-1, 1/2, 1, 3
Find w such that -10/11*w**2 - 2/11*w**4 + 72/11 + 12/11*w**3 - 48/11*w = 0.
-2, 2, 3
Let s be (7/21)/(3/18). Let w(g) = 0*g**2 + 2*g**2 - 6*g + 0*g**s + 2. Let b(t) = -6*t**2 + 19*t - 7. Let y(v) = 2*b(v) + 7*w(v). Factor y(a).
2*a*(a - 2)
Suppose 262*h - 131*h - 135*h + 8 = 0. Suppose 0 = -3*a + a + 8. Determine x, given that 0 - 45/4*x**3 - 5/4*x**h + 65/4*x**a - 25/4*x**5 + 5/2*x = 0.
-2/5, 0, 1
Let k be 3 + -5*(-1 - 20/(-15)). Let w = -72/11 + 271/33. Factor k + 1/3*t**2 + w*t.
(t + 1)*(t + 4)/3
Let a(b) be the third derivative of b**7/22680 + b**6/2160 + b**5/540 - 5*b**4/12 - 16*b**2. Let f(s) be the second derivative of a(s). Factor f(h).
(h + 1)*(h + 2)/9
Let n(t) be the third derivative of -3/4*t**4 + 0 + 0*t + 1/5*t**5 + 4/3*t**3 - 10*t**2 - 1/60*t**6. What is m in n(m) = 0?
1, 4
Let r(o) = -7*o**3 - 278*o**2 + 82*o + 82. Let j be r(-40). Find z, given that -z - 1/2*z**j + 0 = 0.
-2, 0
Let j be 4 + (-12 - -14)*30/(-18). Suppose j*v + 4/3*v**2 + 0 + 2/3*v**3 = 0. What is v?
-1, 0
Let 12/13*p**3 + 10/13 - 68/13*p + 46/13*p**2 = 0. Calculate p.
-5, 1/6, 1
Suppose -i - 14 = -3*c - 2*i, 5*c - i = 34. Solve -c + 0*p**2 - p**2 + 3*p**2 + p**2 - 3*p = 0.
-1, 2
Let c(v) be the second derivative of -v**7/3 + 13*v**6/25 + 7*v**5/10 - 43*v**4/30 + 4*v**2/5 + 68*v. What is a in c(a) = 0?
-1, -2/7, 2/5, 1
Factor 16 + 2*h**4 + 40*h - 6*h**3 + 20*h**3 + 1025*h**2 - 989*h**2.
2*(h + 1)*(h + 2)**3
Let c be -2*2 - (170688/(-66))/(-2). Let v = c - -1298. Factor v*p**2 - 2/11*p - 2/11 - 6/11*p**3.
-2*(p - 1)**2*(3*p + 1)/11
Let g be 342/(-66) - -5 - (-92)/22. Let r be ((7 - 2) + 0)/1. Factor -r - g*n**2 + 2 - 12*n - 5.
-4*(n + 1)*(n + 2)
Suppose -45*w = -41*w - 24. Suppose 13*i - 15*i + w = 0. Find l such that -1/3*l**5 + l - l**4 - 2/3*l**i + 1/3 + 2/3*l**2 = 0.
-1, 1
Let z(k) be the third derivative of -k**7/420 - k**6/60 + k**4/3 + 4*k**3/3 + 30*k**2 + 7. Solve z(p) = 0.
-2, 2
Suppose -19*c + 15*c + 224 = 0. Factor 66*p - 118*p + 6 - 2*p**2 + c*p + 0*p**2.
-2*(p - 3)*(p + 1)
Let l(p) be the first derivative of p**3/9 + p**2 + 6. Let l(t) = 0. Calculate t.
-6, 0
Let v(q) be the second derivative of 0 - 37*q + 1/9*q**3 + 1/18*q**4 + 0*q**2. Factor v(w).
2*w*(w + 1)/3
Let k(s) be the third derivative of -s**7/105 + 19*s**5/30 + s**4/2 - 24*s**3 - 305*s**2. Factor k(u).
-2*(u - 4)*(u - 2)*(u + 3)**2
Let v(l) be the second derivative of l**6/2700 - l**5/900 + 11*l**3/6 - 6*l. Let q(y) be the second derivative of v(y). Let q(j) = 0. Calculate j.
0, 1
Let z(l) = -l**3 - 6*l**2 - 2*l. Let g(q) = q**3 + 5*q**2 + 2*q. Suppose -7 = -2*s - 1. Let y(f) = s*