b + 3*q. Factor 3*p**3 + p**5 - 4*p**3 - 2*p**3 - b*p**2.
p**2*(p - 2)*(p + 1)**2
Let w be (-9 + (-112)/(-12))/(1/(180/7)). Factor -3*t**3 - 24/7 - w*t - 3/7*t**4 - 54/7*t**2.
-3*(t + 1)*(t + 2)**3/7
Let c = 15 - 3. Suppose 12 - c = -4*m. Factor 0*p**2 + 2/13*p**3 + 0 + m*p + 4/13*p**4 + 2/13*p**5.
2*p**3*(p + 1)**2/13
Let b(p) be the first derivative of -p**6/40 - p**5/10 - p**4/6 + 8*p**3/3 - 27. Let i(j) be the third derivative of b(j). Factor i(x).
-(3*x + 2)**2
Let l(g) be the second derivative of -1/12*g**3 + 0*g**6 - 1/252*g**7 - 1/6*g**2 - 10*g + 1/36*g**4 + 1/30*g**5 + 0. Suppose l(u) = 0. Calculate u.
-1, 1, 2
Let z(q) be the first derivative of -3/4*q**2 + 2*q + 0*q**3 + 1/8*q**4 - 6. Let l(s) be the first derivative of z(s). Factor l(g).
3*(g - 1)*(g + 1)/2
Let f(h) be the first derivative of -2*h**5/35 + 5*h**4/14 + 2*h**3/7 - 13*h**2/7 - 20*h/7 + 689. What is q in f(q) = 0?
-1, 2, 5
Let p(w) be the third derivative of w**9/22680 + w**8/12600 - w**7/6300 - w**6/2700 + w**3/2 - 12*w**2. Let y(h) be the first derivative of p(h). Factor y(n).
2*n**2*(n - 1)*(n + 1)**2/15
Let y(q) be the second derivative of 2*q**7/21 + 4*q**6/5 + 3*q**5/5 - 26*q**4/3 - 16*q**3 + 124*q. What is m in y(m) = 0?
-4, -3, -1, 0, 2
Let x = -111 - -113. What is o in 32*o + 12 + 56*o**x + 16*o**3 + 0 - 116*o**2 = 0?
-1/4, 1, 3
Let h be (16/(-384))/(((-4)/54)/2). Let a(u) be the third derivative of 3/16*u**4 - 7*u**2 + 0*u + 1/80*u**5 + h*u**3 + 0. Factor a(f).
3*(f + 3)**2/4
Let x = 20 - 27. Let j be (-24)/42*x/1. Factor 4/9*i**3 + 2/9*i**5 - 2/9 - 2/3*i - 4/9*i**2 + 2/3*i**j.
2*(i - 1)*(i + 1)**4/9
Let p(d) = -d**2 + 11*d - 16. Let m be p(9). Let m*y**3 - 3*y**2 - 113 + 117 - 3*y**3 = 0. What is y?
-2, 1
Let u(m) = -2 + 6*m**2 - 7*m - 15*m**2 + 7. Let j(x) = -5*x**2 - 3*x + 3. Let l(s) = -10*j(s) + 6*u(s). Factor l(r).
-4*r*(r + 3)
Let n(f) be the first derivative of f**4/6 - 8*f**3/3 - 28*f**2/3 - 5. Factor n(x).
2*x*(x - 14)*(x + 2)/3
Factor -6*s**3 + 0 - 3/8*s**5 + 0*s - 21/8*s**4 - 9/2*s**2.
-3*s**2*(s + 2)**2*(s + 3)/8
Let h(u) be the third derivative of 5*u**2 + 0 + 1/240*u**6 + 7/240*u**5 + 1/12*u**3 + 7/96*u**4 + 0*u. Determine s, given that h(s) = 0.
-2, -1, -1/2
Solve -3/2*t - 3/4*t**2 + 0 + 3/4*t**4 + 3/2*t**3 = 0 for t.
-2, -1, 0, 1
Let g = 193 + -190. Let x(v) be the first derivative of 0*v + 4*v**2 + 5 + 4/3*v**g. Determine t so that x(t) = 0.
-2, 0
Find o such that -50/3*o + 26/3*o**3 - 30*o**2 + 500/3 - 2/3*o**4 = 0.
-2, 5
Let n(l) be the first derivative of l**7/2520 + l**6/1080 + 4*l**3 + 11. Let f(p) be the third derivative of n(p). What is z in f(z) = 0?
-1, 0
Let o(x) = x**2 - 10*x + 23. Let s be o(7). Suppose s*y - 8*y = -5*y. Factor 0*w + y + 0*w**2 - 1/4*w**3.
-w**3/4
Let b = 23 - 20. Let 24*i**2 - 1 - i - b*i**2 - 1 = 0. What is i?
-2/7, 1/3
Let d = -1545 + 1547. Let i(s) be the second derivative of -1/70*s**6 + 0*s**3 - 3/35*s**5 + 0 - 1/7*s**4 - 3*s + 0*s**d. Let i(n) = 0. Calculate n.
-2, 0
Let y(c) = -3*c**2 + 12*c + 38. Let z(v) = -5*v**2 + 25*v + 75. Let o(b) = -5*y(b) + 2*z(b). Let o(q) = 0. Calculate q.
-2, 4
Let m(s) be the first derivative of -2/69*s**3 - 50/23*s - 42 - 10/23*s**2. Solve m(u) = 0.
-5
Let k be ((-77)/(-14))/((-7)/78). Let p = -61 - k. Factor p*u**2 + 0 - 6/7*u.
2*u*(u - 3)/7
Let i(x) = x**3 - x**2 + 5*x - 5. Let v(s) = 4 - 3 + 6*s + 4 - 11*s. Let g(n) = 5*i(n) + 6*v(n). Factor g(f).
5*(f - 1)**2*(f + 1)
Suppose -4*d + 0*d = 3*z + 52, -d + 2*z - 24 = 0. Let g be d/33 + 6/9. Suppose 2/11*f**2 - g + 0*f = 0. What is f?
-1, 1
Let d(i) be the first derivative of i**4/4 - 7*i**3 + 47*i**2/2 - 27*i - 1. Let k(h) = -h**3 + h. Let s(g) = d(g) - 2*k(g). Suppose s(x) = 0. Calculate x.
1, 3
Factor 4*t**4 - 15840*t - 965*t**2 - 360*t**3 + 4548 + 9417*t**2 + 3196.
4*(t - 44)**2*(t - 1)**2
Let t(d) be the second derivative of d**6/75 - 3*d**5/50 + d**4/30 + d**3/5 - 2*d**2/5 - 35*d - 1. Factor t(c).
2*(c - 2)*(c - 1)**2*(c + 1)/5
Let v(w) = -w**3. Let j(n) = -8*n**3 - 345*n**2 - 448*n - 148. Let m(l) = -5*j(l) - 5*v(l). Factor m(t).
5*(t + 37)*(3*t + 2)**2
Let d be (-8 - -15)*(-14)/(-14)*12/238. Find i, given that -2/17*i**3 + 10/17*i + d + 2/17*i**2 = 0.
-1, 3
Let q(a) = -a**2 - 37*a + 69. Let x(i) = -18*i + 34. Let d be 6/(-10) - -26*3/30. Let v(w) = d*q(w) - 5*x(w). Factor v(f).
-2*(f - 4)**2
Factor 2*z**2 - 208/7 + 724/7*z.
2*(z + 52)*(7*z - 2)/7
Let x(y) be the third derivative of 3*y**7/35 - y**6/4 - 16*y**5/15 - y**4 + 93*y**2. Find l, given that x(l) = 0.
-2/3, 0, 3
Suppose -8*o - 70 = -4*o - 82. Determine a, given that 0*a**2 + 2/3 + a - 1/3*a**o = 0.
-1, 2
Factor 12*t - 4*t + t**4 + 24*t - 44 + 6*t**2 + 2*t**2 - 4 - 8*t**3.
(t - 6)*(t - 2)**2*(t + 2)
Let a(g) be the third derivative of -g**8/5040 - g**7/2520 - 13*g**3/6 + 8*g**2. Let t(c) be the first derivative of a(c). Factor t(y).
-y**3*(y + 1)/3
Suppose -s - 2 = -4*x, 4*s - 32 = -0*s - 4*x. Suppose 33 = -s*r + 17*r. Factor 12/11*j**2 + 8/11*j**4 + 0 + 2/11*j + 18/11*j**r.
2*j*(j + 1)**2*(4*j + 1)/11
Let r(w) = -9*w**2 + 9*w - 4. Let n = -30 + 32. Let l(b) = b. Let p(i) = n*r(i) + 6*l(i). Find s, given that p(s) = 0.
2/3
Let m = -210 + 213. Factor 0*c**2 - 2/7*c + 2/7*c**m + 0.
2*c*(c - 1)*(c + 1)/7
Let o(u) be the second derivative of 1/30*u**5 + 16/3*u**3 - 6*u + 0 + 2/3*u**4 - 3*u**2. Let k(i) be the first derivative of o(i). Factor k(l).
2*(l + 4)**2
Let c(g) be the third derivative of -g**5/270 - 119*g**4/108 - 118*g**3/27 - 346*g**2. Solve c(u) = 0.
-118, -1
Determine b, given that -191 - 48*b - 8*b**2 + 146 + 5*b**2 = 0.
-15, -1
Let -z**3 - 2*z + 5*z**3 - 16*z**2 + 8 - 1454*z**5 + 8*z**4 + 1452*z**5 = 0. What is z?
-1, 1, 4
Let p be 17/68 + (-49)/(-140). Determine q so that 0*q + 0 + p*q**2 - 1/5*q**4 - 2/5*q**3 = 0.
-3, 0, 1
Let h be 8 - (-56)/(-8) - -1. Factor -1/3*u**h + 0 - 2/3*u.
-u*(u + 2)/3
Let d(w) = 2*w. Let o(t) = 3*t**2 - 18*t + 3. Let y(z) = 6*d(z) + o(z). Determine s, given that y(s) = 0.
1
Let h(c) = -5*c**2 + 10*c - 16. Let b(x) = x**2 - 2*x + 3. Suppose 2*u = 8*u + 132. Let y(f) = u*b(f) - 4*h(f). Factor y(r).
-2*(r - 1)**2
Let k(t) be the first derivative of -3*t**5/10 - 69*t**4/8 - 60*t**3 + 108*t**2 - 46. Factor k(a).
-3*a*(a - 1)*(a + 12)**2/2
Find b, given that -2/13*b - 12/13 + 2/13*b**2 = 0.
-2, 3
Let j be 2/14 + 20/49*7. Let c(n) be the second derivative of 23/12*n**4 + 2*n**2 + 0 - 3/8*n**5 - 3*n**j + 3*n. Factor c(k).
-(k - 2)*(3*k - 2)*(5*k - 2)/2
Let a(s) be the third derivative of s**6/200 - s**5/20 - 11*s**4/20 - 8*s**3/5 + 365*s**2. Suppose a(v) = 0. What is v?
-2, -1, 8
Determine k, given that 0 - 13/4*k**3 + 0*k**2 - 7/2*k**4 + 0*k - 1/4*k**5 = 0.
-13, -1, 0
Let a(d) = 20*d**4 - 48*d**3 + 16*d**2 - 65. Let j(u) = 5*u**4 - 12*u**3 + 4*u**2 - 15. Let w(f) = 6*a(f) - 26*j(f). Factor w(m).
-2*m**2*(m - 2)*(5*m - 2)
Let r(o) = -4*o**2 + 144*o - 108. Let p(v) = v**2 - 29*v + 22. Let z(b) = -16*p(b) - 3*r(b). Solve z(i) = 0.
1, 7
Let s(o) be the third derivative of 2/5*o**4 + 9*o**2 + 9/100*o**5 + 0 - 2/5*o**3 + 0*o. Find p such that s(p) = 0.
-2, 2/9
Let m(j) be the second derivative of 3*j**5/20 - 3*j**4/4 - 3*j**3 + 12*j**2 - 768*j. Factor m(a).
3*(a - 4)*(a - 1)*(a + 2)
Let h be 0 + (-1 + (-889)/(-888) - 0). Let l = h - -7097/6216. Find z, given that -l + 2*z**2 + 16/7*z - 10/7*z**3 = 0.
-1, 2/5, 2
Suppose 2*h = -0*h + 5*t - 8, 0 = -h - 3*t - 4. Let p(y) = 7*y**2. Let d(a) = 21*a**2 + 14*a**2 + a**2. Let q(r) = h*d(r) + 21*p(r). Find s such that q(s) = 0.
0
Let b = -8 + 10. Suppose -10 = -u - 10*x + 8*x, 5*x - 25 = 0. Factor -1/2*m**b - 3/2*m**4 + 0*m + 3/2*m**3 + 1/2*m**5 + u.
m**2*(m - 1)**3/2
Let d(o) = -3*o - 18. Let v be d(-8). Factor 3*i**4 - 2*i**2 - v*i**4 + 8*i**3 - i**4 - 2*i**4.
-2*i**2*(i - 1)*(3*i - 1)
Let m(g) = -3*g**2 - 2*g**5 + g + 6*g**3 + 4*g**4 + 3*g**2 + g**2. Let b(n) = n**5 + n**2. Let q(w) = -15*b(w) - 5*m(w). Determine r so that q(r) = 0.
-1, 0
Suppose -147*g = -143*g - 16. Let p be (8 - (-30)/(-6))*g/3. Factor 4*r - 8/3 + 4/3*r**5 + 8/3*r**2 + 0*r**p - 16/3*r**3.
4*(r - 1)**3*(r + 1)*(r + 2)/3
Let i(j) be the first derivative of -2*j**3/3 + 3*j**2 - 12. Let x(c) = -3*c**2 + 11*c - 1. Let d(t) = 7*i(t) - 4*x(t). Factor d(p).
-2*(p - 1)*(p + 2)
Let o(v) be the second derivative of v**7/350 - v**