 Factor n(r).
-(r - 2)*(r - 1)
Let b = -35 - -40. Let p(a) be the second derivative of -1/12*a**4 - a + 0*a**3 + 0 + 2/3*a**2 + 1/60*a**b. Find m, given that p(m) = 0.
-1, 2
Let w(o) = -2*o**4 + 8*o**3 - 12*o**2 + 8*o - 5. Let a(j) = 4*j**4 - 16*j**3 + 24*j**2 - 16*j + 11. Let v(c) = 6*a(c) + 14*w(c). Find x such that v(x) = 0.
1
Let c(a) be the third derivative of -3*a**7/490 + a**6/70 + 11*a**5/140 - 2*a**4/7 + 2*a**3/7 - 15*a**2. Suppose c(w) = 0. What is w?
-2, 1/3, 1, 2
Let o(v) = 17*v**3 + 33*v**2 + 7*v + 9. Let p(m) = 8*m**3 + 16*m**2 + 4*m + 4. Let r(g) = 4*o(g) - 9*p(g). Solve r(y) = 0 for y.
-2, -1, 0
Let a(q) be the third derivative of q**7/630 + q**6/360 - q**5/180 - q**4/72 - 6*q**2. Find w, given that a(w) = 0.
-1, 0, 1
Suppose -b - 2 = -2*b. Suppose b*u - u - 2 = 0. Factor -10/3*g + 4/3 + 20/3*g**3 - 20/3*g**4 + u*g**5 + 0*g**2.
2*(g - 1)**4*(3*g + 2)/3
Suppose 0*d = -b + 3*d - 4, 2*b = -5*d + 3. Let m(j) = 2*j**2. Let g be m(b). Factor 0*v**4 - 5*v**5 + g*v**4 + 3*v**5.
-2*v**4*(v - 1)
Find s such that 0 - 14/19*s**5 + 60/19*s**4 - 86/19*s**3 - 8/19*s + 48/19*s**2 = 0.
0, 2/7, 1, 2
Factor 25*d**4 - 56*d**2 + 6*d + 9*d**3 + 43*d**3 + 3*d**3 + 6*d.
d*(d + 3)*(5*d - 2)**2
Let p = -8 - -11. Let p*d**2 - d**3 + d**2 - 3*d**2 = 0. What is d?
0, 1
Let o = 426387/41096 + -2/5137. Let w = -549/56 + o. Solve -w*c + 2/7*c**2 + 0 = 0.
0, 2
Let f(q) be the first derivative of -q**5/15 + q**4/3 - 2*q**3/3 + 2*q**2/3 - q/3 - 1. Solve f(t) = 0.
1
Let i = 361/5 - 72. Let q = 89/45 + -16/9. Factor 1/5 + i*s - q*s**3 - 1/5*s**2.
-(s - 1)*(s + 1)**2/5
Let t(l) = -3*l + 6. Let h = -5 + 2. Let i(j) = j**2 - j + 1. Let w(g) = h*i(g) + t(g). Factor w(x).
-3*(x - 1)*(x + 1)
Solve 2/9*a**5 - 4/3*a**4 + 2*a - 32/9*a**2 - 4/9 + 28/9*a**3 = 0 for a.
1, 2
Let k be (2/(-6))/(5/105). Let q = k - -9. Factor -1/3*l + 2/3 - 1/3*l**q.
-(l - 1)*(l + 2)/3
Let r(j) be the third derivative of j**6/240 - j**4/16 + j**3/3 - j**2. Let w(n) be the first derivative of r(n). Let w(d) = 0. What is d?
-1, 1
Let p(m) be the second derivative of -1/18*m**3 + 2*m + 1/3*m**2 + 1/60*m**5 - 1/18*m**4 + 0. Factor p(g).
(g - 2)*(g - 1)*(g + 1)/3
Let t be 64/126 - (-2)/(-9). Let u = -110 - -772/7. Factor 4/7*m**2 - u + 0*m**3 + 0*m - t*m**4.
-2*(m - 1)**2*(m + 1)**2/7
Let s(p) = -13*p**2 + 24*p - 21. Let n(r) = -20*r**2 + 36*r - 32. Let o(m) = -5*n(m) + 8*s(m). Factor o(g).
-4*(g - 2)*(g - 1)
Let g(u) be the second derivative of 1/2*u**2 - 2*u + 1/6*u**3 + 1/48*u**4 + 0. Determine a so that g(a) = 0.
-2
Let s be 1 - -2 - (-154)/(-66). Suppose 8/3 + 8/3*c + s*c**2 = 0. What is c?
-2
Let d be 1*46*(-1)/(-2). Suppose 0 = 2*w + c - 2 + 3, 5*c + d = -w. Let 2/9*l + 2/9 + 2/9*l**4 - 4/9*l**3 - 4/9*l**w + 2/9*l**5 = 0. What is l?
-1, 1
Suppose 21 = 5*s + 1. Let c = 0 + s. Determine x so that -4*x**c + 2*x**4 + 0*x**4 + 2*x**3 = 0.
0, 1
Let j(c) = c**3 - 37*c**2 + 7*c - 258. Let b be j(37). What is s in 3/2*s + 1/2*s**2 + b = 0?
-2, -1
Suppose 5*i + 2 + 3 = 0, 0 = 5*u - 2*i - 12. Let r(k) be the first derivative of 0*k**u - 16/55*k**5 + 1/22*k**4 + 2 + 0*k + 4/33*k**3 + 5/33*k**6. Factor r(v).
2*v**2*(v - 1)**2*(5*v + 2)/11
Let z be (-1)/(-2 + -2 - 236). Let c(r) be the third derivative of 0*r**4 + 1/240*r**6 + 3*r**2 + 0*r + z*r**5 + 0*r**3 + 0. Suppose c(k) = 0. What is k?
-1/2, 0
Let a(q) = q + 4. Let m be a(-3). Let y be 8/(-24)*(-3 + m). Suppose -y*x**3 + 0*x + 2/3*x**4 + 0 - 2/3*x**2 + 2/3*x**5 = 0. Calculate x.
-1, 0, 1
Suppose 0 = 4*m + 2*r - 20, 3*r - 11 = -5*m + 4*r. Let b(j) be the second derivative of -2*j**2 + 5/4*j**5 - 15/4*j**4 + 4*j**m - j + 0. Factor b(a).
(a - 1)*(5*a - 2)**2
Factor 308*z - 293*z - z**2 + 4*z**2.
3*z*(z + 5)
Let h(k) be the third derivative of k**6/200 + 7*k**5/150 - 23*k**4/120 + k**3/5 - 24*k**2. Factor h(p).
(p - 1)*(p + 6)*(3*p - 1)/5
Let o = -6 + 9. Suppose -o*w = 4*x - 12, 0 = x + 4*w - 16. Factor -2/7*h**5 + 0*h + 0*h**2 + x + 0*h**3 + 0*h**4.
-2*h**5/7
Let u = -3/4 - -1. Suppose 4 = -2*x + 4*x. Let -1/4 + u*q**x + 0*q = 0. What is q?
-1, 1
Solve 0 - 16/5*o**2 + 32/5*o**5 - 6*o**3 + 16/5*o**4 - 2/5*o = 0 for o.
-1, -1/4, 0, 1
Suppose 14 = -o + 16. Solve -1/4 + 0*k + 1/4*k**o = 0 for k.
-1, 1
Let v be 4/(-2)*28/(-2). Let r be 38/14 - (-8)/v. Factor n + 2*n**2 + n**5 - n - r*n**3.
n**2*(n - 1)**2*(n + 2)
Let r(h) be the second derivative of -h**6/180 - h**5/30 - h**4/12 - h**3/6 + 3*h. Let v(w) be the second derivative of r(w). Factor v(s).
-2*(s + 1)**2
Let o(h) be the third derivative of -h**6/480 + h**5/60 + 5*h**4/96 + 68*h**2. Determine q, given that o(q) = 0.
-1, 0, 5
Find p such that -9*p**5 + 168*p**2 - 6 - 9*p**4 - 138*p**2 - 15*p**4 + 9*p = 0.
-2, -1, 1/3, 1
Suppose 3*c - 75 = -12*c. Determine l so that -18/7*l**3 - 24/7*l**4 - 10/7*l**c - 4/7*l**2 + 0 + 0*l = 0.
-1, -2/5, 0
Let y be (3 - 0) + 3/(-1). Let a be 32/(-12) + y - -3. Factor -a*u**2 + 1/3*u + 0.
-u*(u - 1)/3
Let a be 28/10 - (-16)/(-20). Let y(j) be the second derivative of 5/24*j**4 - 1/2*j**a + 0 + 1/4*j**3 + 2*j. Factor y(f).
(f + 1)*(5*f - 2)/2
Suppose 0 = -3*p + m + 8, -p - 4*m + 6 = -1. Let l be p/6 + (-14)/(-4). Suppose 1 - 8*t - 9 + 2*t**2 - l*t**2 = 0. Calculate t.
-2
Let l(h) = -h**2 - 5*h - 10. Let o be l(-7). Let c be 12/o - 1*-1. Determine z so that 1/2 + 1/2*z - c*z**3 - 1/2*z**2 = 0.
-1, 1
Let s(d) be the second derivative of -d**5/30 + d**4/6 - 2*d**3/9 + 6*d. Solve s(n) = 0 for n.
0, 1, 2
Let g(a) be the first derivative of 4/45*a**3 + 1/30*a**4 - 8 + 0*a - 1/5*a**2. Factor g(k).
2*k*(k - 1)*(k + 3)/15
Let x be (-22)/(-6) - 15/5. Let u = 23/5 + -64/15. Factor -l**2 - u*l + x.
-(l + 1)*(3*l - 2)/3
Let n(a) be the third derivative of a**9/15120 - a**7/2520 - a**4/8 + 2*a**2. Let v(l) be the second derivative of n(l). Factor v(x).
x**2*(x - 1)*(x + 1)
Let a(y) be the second derivative of -1/6*y**3 + 2*y + 1/2*y**2 + 0 - 49/48*y**4 + 49/80*y**5. What is w in a(w) = 0?
-2/7, 2/7, 1
Let p(o) be the first derivative of -o**3/18 + o**2/3 - 2*o/3 + 3. Factor p(u).
-(u - 2)**2/6
Let l(w) be the third derivative of w**6/120 - w**5/12 + w**4/8 + 3*w**3/2 + 4*w**2. Determine j so that l(j) = 0.
-1, 3
Factor 0*s - 2/5*s**2 + 0 - 2/5*s**5 - 6/5*s**3 - 6/5*s**4.
-2*s**2*(s + 1)**3/5
Factor -r**3 + 12*r**4 + 3*r**4 + 4*r**3.
3*r**3*(5*r + 1)
Suppose f - 5*r - 19 = 8, r - 1 = -3*f. Solve -64*h - 9*h + 16 - 28*h + 21*h + 100*h**f = 0 for h.
2/5
Suppose 3*c = h + 25, -2*c - 4*h = 7 - 19. Let t be 3*c/(-14) - -2. Determine g, given that 0 + 2/7*g + t*g**2 = 0.
-1, 0
Let l(j) = 4*j**2 - j. Let q be ((-20)/16)/(3/(-12)). Let x(z) = -3*z**2 + z. Let b(y) = q*x(y) + 4*l(y). What is v in b(v) = 0?
-1, 0
Factor 3/7*a**3 - 1/7*a**2 + 2/7 - 1/7*a**4 - 3/7*a.
-(a - 2)*(a - 1)**2*(a + 1)/7
Let l(x) be the second derivative of -x**4/24 + 5*x**3/6 - 25*x**2/4 + 4*x. Factor l(p).
-(p - 5)**2/2
Let p = 16 - 16. Let f(u) be the second derivative of 0*u**2 - 1/60*u**6 - 1/24*u**4 + 1/20*u**5 + p*u**3 + 0 + u. Find x such that f(x) = 0.
0, 1
Suppose 6 - 2 = 2*c, -2*c = 3*a - 4. Let h(k) be the first derivative of 0*k - 1/3*k**4 + 0*k**2 + a*k**3 - 2 + 2/3*k**5. Suppose h(n) = 0. What is n?
0, 2/5
Suppose 0*j - 3 = -5*b + 4*j, -j = 5*b + 7. Let i(a) = a**4 - a**3 + 1. Let y(q) = -q**4 + 3*q**3 - 3*q**2 - q. Let p(d) = b*y(d) - 2*i(d). Factor p(z).
-(z - 1)**2*(z + 1)*(z + 2)
Let o be ((-4)/36)/(-3 - (-70)/24). Factor 2/3*s**4 - o*s**3 + 2/3*s + 2/3*s**5 - 4/3*s**2 + 2/3.
2*(s - 1)**2*(s + 1)**3/3
Let y = 29/8 - 25/8. Factor -1/2*r - 1/2*r**2 + 1/2 + y*r**3.
(r - 1)**2*(r + 1)/2
Let p(w) = w**5 + w**4 - w**3. Let r be 3/(-12) - 20/(-16). Let o(k) = 3*k**5 + 6*k**4 - 5*k**3. Let d(i) = r*o(i) - 4*p(i). Determine b so that d(b) = 0.
0, 1
Let y(l) be the third derivative of -l**6/360 + l**5/60 - l**4/24 - 5*l**3/6 + 6*l**2. Let w(d) be the first derivative of y(d). Find g such that w(g) = 0.
1
Suppose 0 = 4*i - 2 + 10, -5*f + 5*i + 10 = 0. Let x(k) be the third derivative of -2/3*k**3 + 0*k**4 + k**2 + 0 + 1/120*k**6 + 1/20*k**5 + f*k. Solve x(a) = 0.
-2, 1
Let f(y) be the second derivative of -1/80*y**5 + 4*y + 0*y**3 + 0*y**2 + 0 + 1/48*y**4. Factor f(t).
-t**2*(t - 1)/4
Let k(g) be the second derivative of 2*g**7/21 + 2*g**6/3 + 9*g**5/5 + 7*g**4/3 + 4*g**3/3 - 18*g. Factor k(c).
4*c*(c + 1)**3*(c 