 3/7*r**3 + 0*r = 0. Calculate r.
-1, 0
Let d(q) = -q**3 + 4*q**2 - 4*q + 6. Let n be d(3). Let h(o) be the first derivative of 0*o - 1 + 1/6*o**4 - 5/18*o**n + 1/12*o**2. Factor h(a).
a*(a - 1)*(4*a - 1)/6
Let w(y) = 72*y**2 - 10*y - 3 - 38*y - 33*y**3 + 6. Let m(b) = 33*b**3 - 72*b**2 + 49*b - 2. Suppose 15 - 21 = 2*j. Let z(n) = j*m(n) - 4*w(n). Factor z(v).
3*(v - 1)**2*(11*v - 2)
Let w(p) be the first derivative of 3/5*p**5 - 3*p**4 + 3*p**3 - 12*p + 6*p**2 + 29. Find h, given that w(h) = 0.
-1, 1, 2
Suppose -3*n = 3*x + 15, -5*x = 19*n - 15*n + 20. Determine t, given that 4*t + 4/3*t**2 + x = 0.
-3, 0
Solve 334*n + 241*n + 60*n**3 - 5*n**4 - 259*n**2 + 739*n**2 + 720 + 465*n = 0 for n.
-2, 18
Suppose -r - 2*r = 0. Suppose r = 2*p - x - 47, x - 28 - 17 = -2*p. Solve 8 + 15 + b**2 + b - p = 0 for b.
-1, 0
Let u(x) = -2*x**3 - 8*x**2 - 3*x - 1. Let b be u(-6). Let r be b/42 + (-1)/(-6). Determine y, given that -r*y - 4 + 28*y - 15*y**2 + 16 = 0.
-2/5, 2
Let x(h) = -h**3 + 6*h**2 + h + 3. Let s be x(6). Let i be (2/(-18))/((-39)/s + 4). Factor -i*v**2 + 1/3*v**3 + 0 - 2/3*v.
v*(v - 2)*(v + 1)/3
Let t(l) be the second derivative of 25/6*l**4 + 35/6*l**3 + 45/14*l**7 + 0 + 5/2*l**2 - 10*l - 9/2*l**6 - 9/2*l**5. Suppose t(y) = 0. What is y?
-1/3, 1
Let s = -62 - -70. Let p(i) = 4*i**3 + 36*i**2 + 55*i - 105. Let w(r) = -6*r**3 - 54*r**2 - 82*r + 158. Let f(v) = s*p(v) + 5*w(v). Factor f(d).
2*(d - 1)*(d + 5)**2
What is c in 100/7*c**3 + 36/7*c**4 - 144/7*c + 32/7 - 24/7*c**2 = 0?
-2, 2/9, 1
Let c(x) be the second derivative of 9*x**5/20 - 37*x**4 + 331*x**3/2 - 141*x**2 + 944*x. Solve c(v) = 0 for v.
1/3, 2, 47
Factor -1/4*u**3 - 6*u + 9/4*u**2 + 4.
-(u - 4)**2*(u - 1)/4
Let a(u) be the first derivative of -2/5*u**5 + 0*u - 1/2*u**4 - 4 + 0*u**2 - 1/9*u**6 - 2/9*u**3. Determine d, given that a(d) = 0.
-1, 0
Suppose 5*o = 7 + 13. Suppose 6*q**2 + q**3 + q**3 - 4*q + 0*q**2 - 6*q**o + 2*q**5 = 0. What is q?
-1, 0, 1, 2
Let f(g) be the first derivative of 4/5*g**3 + 3/5*g**4 - 12 + 3/25*g**5 + 0*g**2 + 0*g. Find y, given that f(y) = 0.
-2, 0
Suppose -2*c**2 - 44*c - 10 + 19 - 2 + 39 = 0. Calculate c.
-23, 1
Let t(x) be the first derivative of -x**7/3360 - x**6/480 + x**4/24 - 10*x**3/3 - 3. Let m(a) be the third derivative of t(a). Factor m(s).
-(s - 1)*(s + 2)**2/4
Let z(i) be the second derivative of i**4/30 - 2*i**3/15 - 3*i**2 - 45*i. Factor z(c).
2*(c - 5)*(c + 3)/5
Let h(g) be the first derivative of g**5/150 + g**4/20 + 2*g**3/15 - 14*g**2 - 20. Let a(b) be the second derivative of h(b). Factor a(q).
2*(q + 1)*(q + 2)/5
Let k = -99/5 + 401/20. Let w(u) be the first derivative of 0*u + 0*u**2 - k*u**4 + 1/5*u**5 + 2 + 0*u**3. Suppose w(q) = 0. What is q?
0, 1
Factor 2/11*c**2 - 24/11 + 2*c.
2*(c - 1)*(c + 12)/11
Let x(c) be the second derivative of c**7/1680 - c**6/360 - c**5/240 + c**4/24 - c**3/2 - 7*c. Let w(q) be the second derivative of x(q). Factor w(j).
(j - 2)*(j - 1)*(j + 1)/2
Let n(b) = -b**2 - 14*b - 10. Let d be n(-13). Factor 2*y**d - 10 + 16*y - 18*y**2 - 2 - 2 + 14*y.
2*(y - 7)*(y - 1)**2
Let m(n) be the third derivative of n**8/672 - 2*n**7/105 + 17*n**6/240 + n**5/60 - n**4/2 + 2*n**2 - 110*n. Find c such that m(c) = 0.
-1, 0, 2, 3, 4
Let g be 26 - 14 - 880/75. Let f(b) be the first derivative of 2/25*b**5 + 0*b**2 - g*b**3 + 2/5*b + 0*b**4 + 13. Factor f(z).
2*(z - 1)**2*(z + 1)**2/5
Let m = -1568 + 1568. Let d(t) be the first derivative of 2/7*t**3 + m*t - 2/21*t**6 + 1/14*t**4 + 1/7*t**2 - 6/35*t**5 + 8. Find q such that d(q) = 0.
-1, -1/2, 0, 1
Let b(y) be the third derivative of -23*y**8/42 + 61*y**7/105 + 29*y**6/60 + y**5/15 - 3*y**2 + 13*y. Suppose b(f) = 0. Calculate f.
-1/4, -2/23, 0, 1
Let o(k) be the second derivative of k**5/5 + 28*k**4/3 + 392*k**3/3 + 180*k. Let o(p) = 0. What is p?
-14, 0
Suppose 81 - 341 = -13*c. What is p in 5*p**3 - 35*p**2 - 120*p + c + 5*p**3 + 95*p = 0?
-1, 1/2, 4
Let o be 21/15 - (13 + 1552/(-120)). Factor -8/3*q - o*q**3 + 0 + 4*q**2.
-4*q*(q - 2)*(q - 1)/3
Let b(l) be the first derivative of -l**6/4 + 9*l**5/5 + 45*l**4/8 + 4*l**3 - 41. Factor b(y).
-3*y**2*(y - 8)*(y + 1)**2/2
Let a(t) = 2*t**3 + 25*t**2 + 5*t - 84. Let m be a(-12). Factor -2/9*y**2 + m + 2/9*y.
-2*y*(y - 1)/9
Suppose 0 = -4*y + 3*q - 2*q - 49, 0 = 2*y + q + 23. Let u = -8 - y. Factor -6*g**u + 4*g**3 + 2*g**3 - 2*g**2 + 16*g**5 - 14*g**5.
2*g**2*(g - 1)**3
Let b be 9 + 6 + -19 + 6. Factor 3/5*i**b - 1/5*i**4 - 2/5 - 1/5*i**3 + 1/5*i.
-(i - 1)**2*(i + 1)*(i + 2)/5
Let a(q) be the third derivative of q**7/210 + 11*q**6/120 + 7*q**5/10 + 17*q**4/6 + 20*q**3/3 + 2*q**2 + 24*q. Determine k so that a(k) = 0.
-5, -2
Let l = -6405 - -6405. Factor l + 1/6*f + 1/6*f**3 + 1/3*f**2.
f*(f + 1)**2/6
Let t(w) be the second derivative of 0*w**2 - 3/10*w**5 - 2/15*w**3 + 11/30*w**4 + 29*w + 0. Find l such that t(l) = 0.
0, 1/3, 2/5
Solve 5*a**3 + 194996*a**2 + 104*a + 11*a - 195116*a**2 = 0 for a.
0, 1, 23
Suppose -o = 3*o - 8. Let x(g) = g. Let a be x(o). Solve -2 - 2*m + 4*m + 2*m - 26*m**a + 24*m**2 = 0.
1
Let j(v) = 75*v**3 + 58*v**2 + 16*v. Let d(s) = -s**2 + 2*s. Let c(t) = -2*d(t) + j(t). Factor c(h).
3*h*(5*h + 2)**2
Let b be 0/(4 + 20 + -22). Determine k, given that 1/4*k**5 - 1/4*k**3 + 0*k + b + 1/4*k**2 - 1/4*k**4 = 0.
-1, 0, 1
Suppose z + v = 2*v, -v = 2*z - 9. Let j(a) be the first derivative of 0*a**z - 1/8*a**2 + 0*a + 1/16*a**4 - 7. What is l in j(l) = 0?
-1, 0, 1
Let j(w) be the second derivative of -3/40*w**5 + 1/60*w**6 + 21*w + 0*w**4 + 0*w**2 + 0 + 1/3*w**3. Let j(s) = 0. Calculate s.
-1, 0, 2
Determine y so that -4*y**2 - 7*y**3 + 309*y**4 - 311*y**4 + y**3 = 0.
-2, -1, 0
Let d(x) = 2*x - 6. Suppose 21 = 3*f - 3*m, 2*m = -3*f - 3*m + 5. Let a be d(f). Solve 8*u**3 - a*u**2 - 8*u + 12*u - 2*u**4 - 6*u**2 = 0 for u.
0, 1, 2
Let t = 781/1566 - -1/783. Find g, given that 1/2*g**4 + g**3 + t*g**2 + 0*g + 0 = 0.
-1, 0
Factor 3/7*a**3 + 30/7*a + 3*a**2 + 0.
3*a*(a + 2)*(a + 5)/7
Let a(u) be the first derivative of -2/3*u**3 + 16*u - 7*u**2 - 11. Let a(j) = 0. What is j?
-8, 1
Let v(j) be the second derivative of 0*j**2 + 0 - 4/45*j**5 - 39*j - 1/27*j**4 + 2/135*j**6 + 8/27*j**3. Find m, given that v(m) = 0.
-1, 0, 1, 4
Let m(k) be the third derivative of k**7/1470 - 11*k**6/840 + 37*k**5/420 - 15*k**4/56 + 3*k**3/7 - 16*k**2. Determine j so that m(j) = 0.
1, 3, 6
Suppose 4*w = -k + 10, -2*w - 5*k + 12 = -k. Suppose 88 = 5*c - w*r, -5*c + 3*r = 15 - 107. Factor -3*s**2 - c*s + 12 + 2*s**2 + 5*s**2 + 0*s**2.
4*(s - 3)*(s - 1)
Let i(m) be the third derivative of -m**5/10 + 7*m**4/6 + 5*m**3/3 - 2*m**2 + 23. Factor i(s).
-2*(s - 5)*(3*s + 1)
Let j be (-100)/28 + 0 + 3/(-7). Let q be 1 - 0 - j*(-12)/(-16). Let 0*t**2 + 0 + 0*t**q - 2/5*t**3 + 0*t + 2/5*t**5 = 0. What is t?
-1, 0, 1
Let x be 52/(-16)*48/(-312) - (-2)/(-4). What is z in 12/5*z**4 + x + 6/5*z**2 + 21/5*z**3 - 3/5*z = 0?
-1, 0, 1/4
Let l be (1002/120 - 7)/((-210)/(-175)). Solve 5/8*d**3 - 1/4 - l*d**2 - 1/8*d**4 + 7/8*d = 0.
1, 2
Let j(h) be the first derivative of -h**6/30 - 4*h + 9. Let d(m) be the first derivative of j(m). Suppose d(v) = 0. What is v?
0
Factor -1/5*d**3 - 2/5 + 1/5*d + 2/5*d**2.
-(d - 2)*(d - 1)*(d + 1)/5
Suppose 0 = 3*v + 3, -2*v + 6 = 2*r. Let l(x) be the second derivative of 1/63*x**7 + 0*x**2 + 5*x + 1/9*x**3 + 0 - 1/15*x**5 + 0*x**r + 0*x**6. Factor l(w).
2*w*(w - 1)**2*(w + 1)**2/3
Suppose 3*i - 2*g = 62, -4*i + 83 = 4*g + 27. Suppose -3*w = -i*w + w. Suppose 2/5*o**4 - 2/5*o**3 + 2/5*o + w - 2/5*o**2 = 0. What is o?
-1, 0, 1
Suppose d**3 + 6*d**2 + d**3 + 0*d**2 - 22*d**2 + 24*d = 0. What is d?
0, 2, 6
Let j be ((-55)/30 - -2)*(4*18)/4. Factor 0*v - 1/7*v**4 - 1/7*v**5 + 0*v**2 + 0*v**j + 0.
-v**4*(v + 1)/7
Suppose -10 = -6*m + m, -3*b + 3*m - 12 = 0. Let x be 8/24 - b/(-6). Suppose 34/3*k**4 + 22/3*k**2 + x + 10/3*k**5 + 4/3*k + 14*k**3 = 0. Calculate k.
-1, -2/5, 0
Let u(v) be the first derivative of 5*v**3/9 + 25*v**2/6 - 70*v/3 - 282. Suppose u(p) = 0. What is p?
-7, 2
Let h(z) be the third derivative of 1/12*z**5 - 7*z**2 + 0 - 5/4*z**4 + 0*z**3 - 3*z. What is r in h(r) = 0?
0, 6
Let l(u) be the second derivative of u**7/70 - 3*u**6/40 - u**5/5 + 13*u**2 - 16*u. Let r(p) be the first derivative of l(p). Factor r(z).
3*z**