*p**3 + 0*p**4 + 0 + 0*p. Let c(l) be the first derivative of a(l). Solve c(b) = 0.
0, 3
Suppose -3270 = 42*m - 47*m. Factor -j**4 - j**3 - m*j**5 + 327*j**5 + j**2 + 328*j**5.
j**2*(j - 1)**2*(j + 1)
Let v(o) be the second derivative of -21 + 20*o**2 - 2*o - 35/6*o**3 - 5/12*o**4. Solve v(c) = 0.
-8, 1
Suppose 0 = -2*i + 3*f - 20, -4*i + 4*f - 11 = 33. Let r = -8 - i. Determine h so that 2*h**4 - r*h**2 + 0*h**4 + 3*h**2 = 0.
-1, 0, 1
Let l = -8/1755 + 593/1755. Factor 0 - l*c - 1/3*c**2.
-c*(c + 1)/3
Let m(n) be the first derivative of n**6/9 - n**4/3 + n**2/3 - 82. Solve m(i) = 0.
-1, 0, 1
Let n(j) be the third derivative of j**8/2240 - j**7/280 + j**5/10 + 5*j**4/24 + 6*j**2. Let o(u) be the second derivative of n(u). Factor o(s).
3*(s - 2)**2*(s + 1)
Let q = 60 - 59. Let w(d) = d**4 + d**3 + d**2 - d. Let v(a) = 52*a**4 + 148*a**3 + 164*a**2 + 44*a + 8. Let s(t) = q*v(t) - 16*w(t). Factor s(b).
4*(b + 1)*(b + 2)*(3*b + 1)**2
Find u such that 1710*u**2 - 573*u - 310*u + 5*u**4 + 565 + 278*u**3 - 858*u**3 - 817*u = 0.
1, 113
Let g = -67026/13 + 5156. Solve 4/13 - 4/13*l**2 + 2/13*l - g*l**3 = 0 for l.
-2, -1, 1
Let a(t) be the second derivative of -t**5/20 + 5*t**4/12 - t**3 + 108*t. Factor a(q).
-q*(q - 3)*(q - 2)
Let z(d) be the first derivative of -4 - 3/5*d**5 + 1/6*d**6 + 0*d**3 + 1/2*d**4 + 0*d**2 + 0*d. Determine r so that z(r) = 0.
0, 1, 2
Let o = -61 - -94. Let x = 35 - o. Factor -9/2*n + 3/2*n**x + 0.
3*n*(n - 3)/2
Let l(u) = 2*u**2 + 2*u - 1. Let r be l(1). Suppose 153 = r*g - 0*g. Factor -g*w**2 + 2*w - 5*w - 52*w**3 + 6 + 0*w + 10*w**3.
-3*(w + 1)*(2*w + 1)*(7*w - 2)
Let w(q) be the third derivative of 6*q**2 + 0*q**3 - 1/36*q**4 + 0*q + 0 - 1/720*q**6 - 1/420*q**7 + 1/45*q**5. Solve w(v) = 0.
-2, 0, 2/3, 1
Let j be 4/(-38) + 58080/114950. Find m such that -4/5*m + j*m**3 + 0 + 2/5*m**2 = 0.
-2, 0, 1
Let n(m) be the second derivative of -m**5/20 + 13*m**4/4 - 60*m**3 - 200*m**2 + m + 3. Determine g so that n(g) = 0.
-1, 20
Let k(p) be the first derivative of -1/6*p**3 + 0*p + 1/16*p**2 + 7. Factor k(g).
-g*(4*g - 1)/8
Let w = -50 - -77. Suppose 0 = -2*n + 5*y + 12 - w, -3*n - 2*y = -6. Solve 7/4*f**4 + n + 3*f**3 + 3/4*f**2 - 1/2*f = 0.
-1, 0, 2/7
Factor 99*s - 2*s**2 - 1058 + 25*s - 32*s.
-2*(s - 23)**2
Let s(y) be the second derivative of 1/28*y**7 - 3/5*y**5 + 0*y**2 + 0 + y + 4*y**3 + 0*y**4 + 0*y**6. What is c in s(c) = 0?
-2, 0, 2
Let i(u) = -u + 1. Let y be (-30)/(-12) - (0 - 1/2). Let c(s) = 11*s**4 - 9*s**3 - 13*s**2 + 11*s. Let j(l) = y*c(l) + 6*i(l). Solve j(w) = 0 for w.
-1, -2/11, 1
Let j(l) be the first derivative of -l**8/1120 - 3*l**7/560 - l**6/120 - 3*l**3 + 7. Let y(g) be the third derivative of j(g). Find f such that y(f) = 0.
-2, -1, 0
What is p in -2/5*p**2 + 18/5 - 16/5*p = 0?
-9, 1
Let m(w) be the third derivative of -1/30*w**6 + 2/15*w**5 + 0*w**3 + 0*w - 1/6*w**4 + 0 + 29*w**2. Determine h so that m(h) = 0.
0, 1
Factor -66*r + 726 + 3/2*r**2.
3*(r - 22)**2/2
Suppose 0 = b - 4*b. Let h be 0 - (6 + b)/(-2). Factor -4*j**h + 6*j**2 - 2*j + 5*j**3 + 14*j + 8.
(j + 2)**3
Let h(s) be the second derivative of 2/45*s**6 - 16/9*s**3 + 0 + 22*s - 32/3*s**2 + 8/15*s**5 + 5/3*s**4. Find u such that h(u) = 0.
-4, -1, 1
Let j(u) be the first derivative of -u**6/10 - 3*u**5/20 + u**4/4 + u**3/2 + 5*u - 15. Let s(z) be the first derivative of j(z). Factor s(x).
-3*x*(x - 1)*(x + 1)**2
Let p = 52 - 32. Let b = 23 - p. What is i in 0 + b*i + 3 + 3*i + 3*i**2 = 0?
-1
Let g(n) be the third derivative of -n**6/480 + 3*n**5/40 - n**4 + 20*n**3/3 + 3*n**2 + 29. Factor g(d).
-(d - 10)*(d - 4)**2/4
Let c be 234/195 + 7/(-10). Let w(d) = -d**3 + 7*d**2 - 5*d - 6. Let x be w(6). Factor x*m + m**3 - c*m**2 + 0 - 1/2*m**4.
-m**2*(m - 1)**2/2
Let h(o) be the first derivative of 37/9*o**2 + 6 - 10/27*o**3 - 28/9*o. Factor h(b).
-2*(b - 7)*(5*b - 2)/9
Suppose -5*r - 3 = 3*d + 11, -4*r - 18 = -d. Factor -7*u**2 - 18*u - 27 + 19*u**2 - 7*u**d - 8*u**2.
-3*(u + 3)**2
Let h(t) be the third derivative of 0*t**3 - 1/54*t**4 + 0*t - 1/945*t**7 + 0 + 1/270*t**6 + 7*t**2 + 1/270*t**5. Factor h(a).
-2*a*(a - 2)*(a - 1)*(a + 1)/9
Let b be 4*(-3 - 20/(-8)). Let u be 1*b + (-6 + 10)/2. Factor 14/5*z**5 + 16*z**4 - 32/5*z + u + 64/5*z**2 + 144/5*z**3.
2*z*(z + 2)**3*(7*z - 2)/5
Suppose -44/9*t + 44/9*t**3 - 2/3*t**2 - 10/9*t**4 + 16/9 = 0. Calculate t.
-1, 2/5, 1, 4
Let o be 3 - 2/(-2) - (0 + 10). Let n(z) = -z**2 - 12*z + 4. Let r(v) = 12*v - 4. Let i(j) = o*r(j) - 7*n(j). Find c, given that i(c) = 0.
-2, 2/7
Let h = 231979/9 + -25775. Factor -h*a**2 - 2/9*a**3 + 2/3*a + 0.
-2*a*(a - 1)*(a + 3)/9
Let s(w) = -23 + 2*w + 5*w + 0*w + 13*w - 8*w**2. Let t(p) = -9*p**2 + 20*p - 24. Let a(i) = 4*s(i) - 3*t(i). Factor a(h).
-5*(h - 2)**2
Let i(v) = 120*v**2 + 192*v - 63. Let k(l) = 5*l + 14*l + 15*l**2 + 3*l - 8 + 2*l. Let a(r) = 4*i(r) - 33*k(r). Determine t, given that a(t) = 0.
-2, 2/5
Factor -190512*h + 7*h**3 + 1471514 - 11*h**3 - 1512*h**2 - 9473018.
-4*(h + 126)**3
Factor -23/4*g + 529/8 + 1/8*g**2.
(g - 23)**2/8
Let t(v) be the second derivative of -v**4/32 - 45*v**3/4 - 6075*v**2/4 - 265*v. Find l, given that t(l) = 0.
-90
Let y = 65/186 - -1213/7440. Let m = y - 1/80. Factor 1/4*k**5 - 1/4*k + 0*k**3 + 1/2*k**2 + 0 - m*k**4.
k*(k - 1)**3*(k + 1)/4
Let w(c) = c + 7. Let p(y) = y**3 + 5*y**2 - 3*y + 12. Let f be p(-6). Let g be w(f). Factor -1 - 1 - g - n**2 + 2 + 2*n.
-(n - 1)**2
Factor 40/9 + 608/9*f**2 - 316/9*f + 64/9*f**3.
4*(f + 10)*(4*f - 1)**2/9
Let y(o) be the third derivative of -o**5/140 + 95*o**4/14 - 18050*o**3/7 - 198*o**2 + o. Suppose y(n) = 0. Calculate n.
190
Let j = 10 - -40. Let s = -33 + j. Factor 402 + 31*u**3 - 173*u - 1170 + s*u**3 - 288*u**2 - 3*u**4 + 941*u.
-3*(u - 4)**4
Let q = 21 - 18. Let d(g) be the second derivative of 0 + q*g + 1/10*g**5 + 1/3*g**3 - 1/3*g**4 + 0*g**2. Let d(t) = 0. Calculate t.
0, 1
Let m be (230/(-20))/(9/24). Let v = m - -94/3. Determine o, given that v - 1/2*o**2 + 0*o - 1/6*o**3 = 0.
-2, 1
Let u = 684 - 682. Let o(k) be the first derivative of 4*k + 5 - 3*k**u + 2/3*k**3. Suppose o(j) = 0. Calculate j.
1, 2
Let c = -1647/5 + 330. Factor 0*v + c*v**4 + 3/5*v**3 - 3/5*v**2 + 0 - 3/5*v**5.
-3*v**2*(v - 1)**2*(v + 1)/5
Let q(w) = 1219*w - 8. Let k be q(1). Let b = -6031/5 + k. Factor -4/5 - 22/5*j - b*j**2.
-2*(3*j + 2)*(4*j + 1)/5
Let p(i) be the third derivative of 0*i**5 + 0*i**3 + 1/6*i**4 + 0 - i**2 - 1/120*i**6 + 0*i. Solve p(g) = 0.
-2, 0, 2
Let q = 16643/1575 + -95/9. Let o = 27/175 - q. Find s, given that -o*s**3 + 0*s + 0*s**2 + 0 + 1/7*s**5 + 0*s**4 = 0.
-1, 0, 1
Let a be (6/99)/(1 - (-5)/(-6)). Let b(o) = -2*o + 12. Let z be b(6). Factor 0*c + 14/11*c**3 + z - a*c**2.
2*c**2*(7*c - 2)/11
Let s be ((-7)/(-3) - -1) + 2/3. Suppose -4 - 16*o**2 + 102*o**2 - 38*o**2 - s*o = 0. What is o?
-1/4, 1/3
Let l(n) = n**3 + 5*n**2 + 2*n + 9. Let z be l(-5). Let d be (z/5)/(13 + -14). Factor 0 + 2/5*p**2 + 1/5*p + d*p**3.
p*(p + 1)**2/5
Suppose -66*l = -68*l + 8. Let r(t) be the second derivative of 0 - t**3 - 3/4*t**l + 2*t + 0*t**2 - 3/20*t**5. Let r(q) = 0. Calculate q.
-2, -1, 0
Let x(k) be the first derivative of -k**6/33 - 2*k**5/55 - 210. Determine g so that x(g) = 0.
-1, 0
Let z(v) = 4*v**2 - 47*v. Let y(h) = -h**2 + 23*h. Let t(k) = -5*y(k) - 2*z(k). Let t(m) = 0. Calculate m.
-7, 0
Suppose 714 = -9*g + 12*g. Let l be 6/51 - (-40)/g. Let -2/7*t - l*t**2 + 0 = 0. Calculate t.
-1, 0
Let b(n) be the third derivative of 0*n**3 + 0 + 11*n**2 + 1/42*n**4 + 1/420*n**6 + 1/70*n**5 + 0*n. Find o, given that b(o) = 0.
-2, -1, 0
Let m be (9/21 + (-15)/(-14))*-4. Let x = m + 10. Suppose 2/9*s**3 + 2/9*s**x + 0*s - 2/9*s**2 - 2/9*s**5 + 0 = 0. Calculate s.
-1, 0, 1
Let w(g) be the first derivative of g**7/105 - 2*g**5/15 - 13*g**2 - 30. Let r(n) be the second derivative of w(n). Solve r(p) = 0 for p.
-2, 0, 2
Let y(v) be the first derivative of 9*v**5/5 - 20*v**4/3 - 46*v**3/3 + 12*v**2 - 23*v + 23. Let t(m) be the first derivative of y(m). Factor t(o).
4*(o - 3)*(o + 1)*(9*o - 2)
Factor 2/3*t**3 + 4/3*t**2 - 2*t + 0.
2*t*(t - 1)*(t + 3)/3
Let p(m) = 12*m**2 + 24*m + 8. Let h(l) = -8*l**2 - 16*l - 5. Let i(s) = -8*h(s) - 5*p(s). Find v, given that i(v) = 0.
-2, 0
Suppose 2*j**2 - 2/9*j**3 - 4*j + 0