ose -5*r + 110 = -15. Factor 4*p**5 - 23*p**4 + p**3 - 3*p**5 + r*p**4.
p**3*(p + 1)**2
Let n = -143 + 143. Let s(y) be the second derivative of 0 + 0*y**3 + 2*y + n*y**4 + 1/30*y**5 + 0*y**2. Factor s(b).
2*b**3/3
Let d be 4 - 1 - (1 - 3). Suppose -8 = d*f - 23. Factor -5*p**f + 3*p - 5*p + 7*p**3.
2*p*(p - 1)*(p + 1)
Suppose -4*j - 90 = -7*j. Let f = j + -119/4. Determine g, given that 1/2*g - 1/4 - f*g**2 = 0.
1
Let y(z) be the first derivative of z**8/168 + z**7/75 + z**6/150 + z**2/2 - 3. Let d(p) be the second derivative of y(p). Suppose d(b) = 0. What is b?
-1, -2/5, 0
Let h(x) be the second derivative of -x**6/40 + x**5/12 + x**4/6 - 2*x**3/3 + 3*x**2/2 - 2*x. Let z(g) be the first derivative of h(g). Factor z(r).
-(r - 2)*(r + 1)*(3*r - 2)
Let d(x) be the first derivative of 1/10*x**5 + 0*x + 1/12*x**6 + 0*x**4 + 0*x**2 + 3 + 0*x**3. Factor d(q).
q**4*(q + 1)/2
Let v = -18 - -20. Suppose -d = -v*d. Determine q so that d*q + 0*q**3 - 6/5*q**2 + 3/5*q**4 + 3/5 = 0.
-1, 1
Let q(j) be the first derivative of -j**6/240 - j**5/160 + j**4/32 + 5*j**3/48 + j**2/8 + 5*j - 9. Let y(r) be the first derivative of q(r). Factor y(i).
-(i - 2)*(i + 1)**3/8
Let n(u) be the second derivative of u**7/84 - u**6/20 - u**5/40 + 7*u**4/24 - u**2 + 59*u. Determine b, given that n(b) = 0.
-1, 1, 2
Let f(h) be the third derivative of h**6/30 + 2*h**5/15 - 18*h**2. Factor f(q).
4*q**2*(q + 2)
Suppose 0 = 5*f - 0*f - 30. Find h such that 3*h - 1 - 1 + 2 + f - 3*h**2 = 0.
-1, 2
Let t be -2 - (2 - 6) - -2. Factor 2/7*w**t + 0 + 0*w + 2/7*w**2 - 4/7*w**3.
2*w**2*(w - 1)**2/7
Let h(c) be the first derivative of c**6 - 22*c**5/5 + 6*c**4 - 8*c**3/3 + 3. Let h(s) = 0. Calculate s.
0, 2/3, 1, 2
Suppose -10*r + 8 = -32. Solve 11/3*q**2 - 25/3*q**4 + r*q - 10*q**3 - 4/3 = 0.
-1, 2/5
Let g(a) be the second derivative of a**7/126 - a**6/30 - a**5/30 + a**4/6 + a**3/18 - a**2/2 + 58*a. Solve g(o) = 0 for o.
-1, 1, 3
Let y be (-27)/18*(-4)/15. Factor 6/5*c - 6/5*c**2 - 2/5 + y*c**3.
2*(c - 1)**3/5
Let d(l) = -4*l**3 + 12*l**2 - 3*l + 4. Let p(h) = h**3 - 3*h**2 + h - 1. Let r(t) = -4*d(t) - 18*p(t). Factor r(x).
-2*(x - 1)**3
Find y such that -5*y**4 + y**4 + 5*y - 5*y**2 + 3*y**4 - 5*y**3 + 6*y**4 = 0.
-1, 0, 1
Let g(s) be the third derivative of -s**6/20 - s**5/15 + 13*s**4/12 - 8*s**3/3 - 2*s**2 - 12. Determine t so that g(t) = 0.
-8/3, 1
Let g(b) be the first derivative of 2/3*b**3 - 3/2*b**4 + 1/2*b**6 + 3/2*b**2 - 4 - b - 1/5*b**5. Determine s, given that g(s) = 0.
-1, 1/3, 1
Suppose 0 = -i + 4*x - 37, 3*i - 3*x + x = -71. Let q be (14/i)/(16/(-6)). Find n, given that q*n + 1/4*n**2 + 0 - 1/4*n**3 - 1/4*n**4 = 0.
-1, 0, 1
Let o = 397/707 + 1/101. Let l(v) = -v**3 + 5*v**2 - 4*v + 2. Let y be l(4). Factor 2/7*h**5 + o*h**4 + 2/7*h**3 + 0*h + 0*h**y + 0.
2*h**3*(h + 1)**2/7
Suppose 3*l - 12*y + 14*y - 6 = 0, 0 = 2*y. Suppose -147/4*w**4 - 1 - 3*w + 51/4*w**l + 28*w**3 = 0. What is w?
-2/7, 1/3, 1
Let h = 11 - 7. Let r be h + (3 - (-1 + 3)). Factor 0 - 5 + 1 - i**2 + r.
-(i - 1)*(i + 1)
Let w(j) be the first derivative of -j**8/560 + j**7/280 - j**3/3 - 1. Let p(v) be the third derivative of w(v). Factor p(n).
-3*n**3*(n - 1)
Let z = 6 + -4. Let k be 1 + (-3)/((-18)/z). What is j in 0*j + 0 - k*j**2 + 2/3*j**3 = 0?
0, 2
Suppose 1 = -3*g + 19. Let y(f) = -f + 6. Let j be y(g). Solve 22/5*p**3 + j*p + 14/5*p**5 + 4/5*p**2 + 0 + 32/5*p**4 = 0.
-1, -2/7, 0
Let k be (7 + -7)/(2 - 1). Suppose 4*l - 7 - 9 = k. Suppose 3*t**4 - 2*t**5 - 3*t**5 - t**l + 7*t**5 = 0. Calculate t.
-1, 0
Let j(u) = -u**2 + 1. Let d(a) = -3*a - 4. Let k be d(-4). Suppose -1 = -3*h + k. Let n(f) = 4*f**2 + f - 5. Let z(x) = h*j(x) + n(x). What is r in z(r) = 0?
-2, 1
Factor 2/7*x + 2/7*x**4 + 2/7*x**5 - 4/7*x**2 - 4/7*x**3 + 2/7.
2*(x - 1)**2*(x + 1)**3/7
Let d(a) be the first derivative of -2 - 3/10*a**5 + 3/4*a**4 + 3/2*a + 0*a**3 - 3/2*a**2. Solve d(b) = 0 for b.
-1, 1
Determine c so that c**2 + 2*c + 4 - 7*c**3 + 7*c**2 + 14*c - 3*c**2 = 0.
-1, -2/7, 2
Let c(k) be the third derivative of k**8/1680 - k**7/525 - k**6/75 - k**5/150 + 7*k**4/120 + 2*k**3/15 - k**2 - 5. Solve c(w) = 0.
-1, 1, 4
Let k(s) = -11*s - 1. Let x be k(-1). Suppose 0*t = -2*t - 3*h + x, -t - 6 = -4*h. Let 2/5*v + 0 - 2/5*v**t - 2/5*v**3 + 2/5*v**4 = 0. Calculate v.
-1, 0, 1
Let u(d) be the second derivative of -d**6/10 - 3*d**5/5 - d**4/4 + 3*d**3 + 6*d. Factor u(v).
-3*v*(v - 1)*(v + 2)*(v + 3)
Let n(w) be the first derivative of w**7/42 - w**6/30 - w**5/20 + w**4/12 - 2*w - 3. Let g(d) be the first derivative of n(d). Solve g(j) = 0.
-1, 0, 1
Let s = -25/16 - -307/176. Factor 0 - s*v**3 + 4/11*v**2 + 0*v.
-2*v**2*(v - 2)/11
Let v(g) be the first derivative of g**5/55 - 5*g**4/22 + 25*g**3/33 + 3. Factor v(l).
l**2*(l - 5)**2/11
Let o be -1*0/(3 - -1). Let k(h) be the second derivative of 3*h + 1/50*h**5 - 1/15*h**3 + 1/75*h**6 + 0 - 1/30*h**4 + o*h**2. Solve k(z) = 0.
-1, 0, 1
Let z(t) be the third derivative of 0*t + 1/6*t**4 - 3*t**2 + 0*t**3 - 1/30*t**5 + 0. Factor z(h).
-2*h*(h - 2)
Let d(m) = m**2 - 6*m + 7. Let p be d(5). Determine o so that -2 - p*o**2 + 1 + 3*o**2 = 0.
-1, 1
Let c(r) be the third derivative of r**6/90 + 4*r**3/3 - r**2. Let t(f) be the first derivative of c(f). Factor t(d).
4*d**2
Let x(y) be the first derivative of 0*y + 1/5*y**5 + 5/3*y**3 + 2 + y**2 + y**4. Factor x(k).
k*(k + 1)**2*(k + 2)
Suppose -j - 3*g = 3 + 3, 2*g = -2*j. Let c(y) be the first derivative of y**j + 1 + 0*y**4 + 0*y - y**2 - 1/5*y**5. Solve c(m) = 0.
-2, 0, 1
Let m(g) be the third derivative of 0 - 1/3*g**3 + 0*g + 0*g**4 + 1/15*g**5 - 1/105*g**7 + 0*g**6 - 2*g**2. Let m(n) = 0. Calculate n.
-1, 1
What is b in 8*b**3 + 6*b - 10*b - 4*b**4 - 4*b + 4*b**2 = 0?
-1, 0, 1, 2
Let j(k) = k**2 + 22*k + 2. Let v be j(-22). Factor 0*z**3 + 0 + 4/3*z - 2/3*z**4 + 2*z**v.
-2*z*(z - 2)*(z + 1)**2/3
Let s(g) = 290*g**2 - 425*g - 170. Let k(a) = -17*a**2 + 25*a + 10. Let d(q) = 35*k(q) + 2*s(q). Factor d(l).
-5*(l - 2)*(3*l + 1)
Let 32*d + 144*d**4 + 28*d**5 + d**2 - 103*d**2 - 60*d**3 - 2*d**2 - 40*d**4 = 0. What is d?
-4, -1, 0, 2/7, 1
Find h, given that 0*h - 4/9*h**3 - 2/9*h**2 + 0 - 2/9*h**4 = 0.
-1, 0
Let j = 17 - 18. Let s be (j - (-27)/30)*-6. Factor -48/5*i**2 - s - 24/5*i.
-3*(4*i + 1)**2/5
Let i(p) be the third derivative of -1/180*p**5 + 0*p - 8/9*p**3 + 1/9*p**4 + 0 + p**2. Determine q, given that i(q) = 0.
4
Let y**4 - 196*y**5 - 375*y**4 - 48*y**2 - 405*y**3 - 326*y**4 + 53*y**3 = 0. What is y?
-3, -2/7, 0
Let r = 209/10 + -102/5. Let k - k**3 + 1/2 + 0*k**2 - r*k**4 = 0. Calculate k.
-1, 1
Suppose -2*y + 3 = y. Suppose -4*j - y = -13. Solve -5*c**3 + 4*c**j + 4*c**3 - 3*c = 0 for c.
-1, 0, 1
Let g be (6/(-4))/(-14*(-1)/(-8)). Factor 8/7 + 0*h + 2/7*h**3 - g*h**2.
2*(h - 2)**2*(h + 1)/7
Let d(v) be the second derivative of 1/147*v**7 + 0*v**3 - 1/42*v**4 - 1/35*v**6 + 0*v**2 + 0 + 3/70*v**5 - 3*v. Determine c so that d(c) = 0.
0, 1
Factor -j + 3*j + 2*j**2 + 175*j**3 - 177*j**3 - 2.
-2*(j - 1)**2*(j + 1)
Suppose 8*o = 981 - 981. Factor 0*w + 3/2*w**3 + 3/2*w**2 + o.
3*w**2*(w + 1)/2
Suppose 0 = 2*y - 3*y. Let b(n) be the third derivative of -2/105*n**7 + 0 + 0*n + 2*n**2 + 0*n**3 + y*n**5 + 1/60*n**6 + 0*n**4 + 1/168*n**8. Factor b(t).
2*t**3*(t - 1)**2
Factor 144 - 127*u**2 + 3*u**3 + 106*u**2 + 81 - 15*u.
3*(u - 5)**2*(u + 3)
Factor 6*y**2 + 7*y**2 - 19*y + y**4 + 7*y - 6*y**3 + 2 + 2.
(y - 2)**2*(y - 1)**2
Let v(q) be the second derivative of -q**5/5 + 4*q**4/3 - 10*q**3/3 + 4*q**2 + 9*q. Factor v(p).
-4*(p - 2)*(p - 1)**2
Let i(l) be the third derivative of l**8/2240 - l**7/840 - l**6/240 + l**5/40 + l**4/24 - l**2. Let o(s) be the second derivative of i(s). Solve o(a) = 0 for a.
-1, 1
Let d(c) be the first derivative of 0*c**2 - 2 + 1/15*c**6 + 0*c - 1/10*c**4 - 2/25*c**5 + 2/15*c**3. Find n such that d(n) = 0.
-1, 0, 1
Let r be 4*(-9 + -3 + 0). Let i be (-12)/r - 162/(-56). Factor -4/7 + 8/7*u**3 + i*u**2 + 10/7*u.
2*(u + 1)*(u + 2)*(4*u - 1)/7
Solve -4/13 - 6/13*w - 14/13*w**3 + 24/13*w**2 = 0 for w.
-2/7, 1
Factor 0 + 2/9*o**2 - 4/9*o**5 + 0*o + 0*o**3 - 2/3*o**4.
-2*o**2*(o + 1)**2*(2*o - 1)/9
Suppose u - 4 = j - 0, -4*j - 12 = 0. Suppose 0 = d - u - 2. Factor -2/7*w**d + 0*w - 2/7*w**2 + 0.
-2*w**2*(w + 1)/7
Let g