 19 = 0, 7 = -5*r - c + 30. Let i(k) = r*z(k) + 5*m(k). Factor i(l).
3*(l - 1)*(l + 1)
Find b, given that 0*b**4 - 8*b**2 - 48*b**3 + 2*b**5 + 6*b**4 + 48*b**3 = 0.
-2, 0, 1
Let j(p) be the third derivative of -p**8/84 + 8*p**7/105 + p**6/5 - 16*p**5/15 - 29*p**4/6 - 8*p**3 + 64*p**2. Find i such that j(i) = 0.
-1, 3, 4
Let t(b) = -b**3 + 14*b**2 + 11*b + 27. Let n be t(15). Let i = 33 + n. Factor 1/4*l + 1/4*l**2 + i.
l*(l + 1)/4
Let k be ((-2)/(-3))/(28/(-42)). Let b be 6/8 - ((-27)/(-12))/k. Factor -3/4*a**2 + 3/2*a - 3/4*a**b + 0.
-3*a*(a - 1)*(a + 2)/4
Let f(d) be the first derivative of -d**5/30 - 7*d**4/18 - 5*d**3/3 - 3*d**2 - 2*d - 32. Let k(b) be the first derivative of f(b). Solve k(i) = 0 for i.
-3, -1
Let a = -1206/679 - -12/7. Let o = a - -794/291. Factor 2/3*l**2 + o*l + 8/3.
2*(l + 2)**2/3
Let b(f) = 7*f**3 + 54*f**2 - 12*f + 32. Let p be b(-8). Factor p + 1/3*d - 1/6*d**2.
-d*(d - 2)/6
Suppose -27*s - 60 + 114 = 0. Factor 2/3*i**s + 32/3 - 16/3*i.
2*(i - 4)**2/3
Suppose 4*x + 4*q = 9*q - 2, 10 = x + 4*q. Let s(l) be the first derivative of -111/5*l**5 + 7/2*l**6 + 42*l**x - 67*l**3 - 12*l + 1 + 219/4*l**4. Factor s(p).
3*(p - 2)*(p - 1)**3*(7*p - 2)
Let g(j) be the first derivative of -2*j**3/15 + 2*j**2/5 + 6*j/5 + 110. Suppose g(d) = 0. What is d?
-1, 3
Let r be ((-3)/2)/((-12)/16). Determine v so that -27*v**3 + 3*v**2 - 6*v**4 + 18*v**4 - 8*v**r + 11*v**2 = 0.
0, 1/4, 2
Let p(u) = -5*u**4 + 88*u**3 - 463*u**2 + 914*u - 300. Let d(s) = 5*s**4 - 87*s**3 + 462*s**2 - 915*s + 300. Let a(n) = 6*d(n) + 5*p(n). Factor a(m).
(m - 6)*(m - 5)**2*(5*m - 2)
Let g be (-33)/(-108) + 0 + 7 + 59/(-9). Factor -g*v + 3/2 - 9/4*v**2 + 3/4*v**4 + 3/4*v**3.
3*(v - 1)**2*(v + 1)*(v + 2)/4
Let k(m) be the first derivative of 20*m**6/39 - 134*m**5/65 + 15*m**4/13 + 88*m**3/39 + 8*m**2/13 - 81. Find j, given that k(j) = 0.
-2/5, -1/4, 0, 2
Suppose -r + 3 - 5 = 0. Let i = r - -5. Factor i*b + 20*b**2 - 21*b**2 - 3*b.
-b**2
Let b be (-1 + -49 - -48) + (28/(-2))/(-2). What is r in -1/4*r**2 - b*r - 25 = 0?
-10
Let w = -104 + 107. Solve -4*n + 18*n**2 + 2*n**w - 15*n**2 - n**2 = 0 for n.
-2, 0, 1
Let t(i) be the first derivative of 2*i**6/3 - 124*i**5/5 + 323*i**4 - 5108*i**3/3 + 3408*i**2 - 2880*i - 241. Determine x so that t(x) = 0.
1, 5, 12
Suppose y + y = 2. Suppose 2*w - 3 = 9. Let l(o) = o**2 - o. Let a(c) = -3*c**2 + 9*c. Let j(z) = w*l(z) + y*a(z). Factor j(u).
3*u*(u + 1)
Let a(u) be the first derivative of -u**4/10 + 4*u**3/15 + 3*u**2 - 95. Determine t, given that a(t) = 0.
-3, 0, 5
Suppose 5*l = 54 - 4. Let w be 40/(-25)*(-5 - 0) + -5. Let -k**2 + 0*k - 9*k + 3 - k**w - 2 + l*k = 0. Calculate k.
-1, 1
Let o(r) be the second derivative of -5*r**3 + 0 + 2*r - 75/2*r**2 - 1/4*r**4. Factor o(i).
-3*(i + 5)**2
Let w be ((-216)/(-30))/(-9)*10/(-4). Let r(n) be the second derivative of 2/5*n**w + 1/3*n**3 + 1/50*n**5 + 0 + 6*n + 2/15*n**4. Determine m so that r(m) = 0.
-2, -1
Find a such that 156*a - 136 + 4*a**3 - 144*a**2 + 63*a + 57*a = 0.
1, 34
Suppose 1/7*r**4 + 9/7*r**3 + 12/7*r + 20/7*r**2 + 0 = 0. Calculate r.
-6, -2, -1, 0
Let q(f) be the second derivative of f**7/840 + f**6/240 - f**5/20 - f**4/2 - 6*f. Let g(y) be the third derivative of q(y). Solve g(t) = 0.
-2, 1
Let z(t) = 22*t + 157. Let a be z(-7). Let j(r) be the first derivative of -2/21*r**a - 1/7*r**2 + 2/7*r - 6 + 1/14*r**4. Factor j(v).
2*(v - 1)**2*(v + 1)/7
Factor 43*m - 29*m - 7*m**2 + m**2 + 40*m + 4*m**2.
-2*m*(m - 27)
Let h(m) be the first derivative of m**7/63 + m**6/45 - m**5/30 - m**4/18 + 25*m + 16. Let p(v) be the first derivative of h(v). Factor p(l).
2*l**2*(l - 1)*(l + 1)**2/3
Let d(u) be the third derivative of u**6/1260 - u**5/210 - 4*u**4/63 - 4*u**3/21 - 68*u**2. Factor d(c).
2*(c - 6)*(c + 1)*(c + 2)/21
Let h be (-12)/(-16) + 5/4. Factor -6*q**h + 0*q**2 + 36*q + 0 - 10*q**2 - 8.
-4*(q - 2)*(4*q - 1)
Factor -4/15*r**3 + 2/15*r**2 + 0*r + 0 + 2/15*r**4.
2*r**2*(r - 1)**2/15
Let b = 13241/9 + -1471. Suppose b*j**2 - 2/9*j + 0 = 0. Calculate j.
0, 1
Let q(j) be the first derivative of -1 + 0*j + 2/3*j**3 - j**4 + 1/2*j**5 - 1/12*j**6 + 0*j**2. Factor q(x).
-x**2*(x - 2)**2*(x - 1)/2
Let c(k) be the second derivative of -k**7/126 + 2*k**6/45 - 4*k**4/9 + 8*k**3/9 + 33*k - 3. Factor c(i).
-i*(i - 2)**3*(i + 2)/3
Let c be (-26)/13 + (0 - (-28)/10). Find t, given that 0 - 24/5*t**4 + 0*t + 2*t**3 + c*t**2 = 0.
-1/4, 0, 2/3
Let g(p) = -8*p**3 - 23*p**2 - 35*p + 54. Let q(s) = 10*s**3 + 24*s**2 + 34*s - 52. Let m(u) = -4*g(u) - 3*q(u). Factor m(o).
2*(o - 1)*(o + 5)*(o + 6)
Let y be (5/(-4) + 1)/(-2)*-734. Let c = y + 94. Determine t, given that -c*t + 3/4*t**2 + 3/2 = 0.
1, 2
Let k(x) be the third derivative of -x**6/30 + 8*x**5/15 - 13*x**4/6 + 4*x**3 + 274*x**2. Factor k(z).
-4*(z - 6)*(z - 1)**2
Let c = 8984 - 35933/4. Factor 1/2 - 1/4*m**3 + 0*m**2 + c*m.
-(m - 2)*(m + 1)**2/4
Let j(s) be the first derivative of 3*s**4/14 + 11*s**3/7 + 18*s**2/7 - 27*s/7 + 76. Determine a so that j(a) = 0.
-3, 1/2
Let x be -23 + 175/63 + 2/9. Let o = x + 24. Factor 0 - s + s**3 - 1/2*s**2 + 1/2*s**o.
s*(s - 1)*(s + 1)*(s + 2)/2
Let n(i) = -10*i**4 + 82*i**3 + 10*i**2 - 34*i. Let r(q) = -2*q**4 + 16*q**3 + 2*q**2 - 7*q. Let y(z) = 3*n(z) - 16*r(z). Find f such that y(f) = 0.
-1, 0, 1, 5
Let j(f) be the first derivative of -f**6/1980 - f**5/330 + f**4/44 + f**3/3 - 7. Let c(t) be the third derivative of j(t). Factor c(u).
-2*(u - 1)*(u + 3)/11
Let x be -4 + (-2)/(4/(-18)). Let u(p) be the third derivative of -1/18*p**4 + 0*p - 11/90*p**x + p**2 + 0 + 0*p**3. Factor u(r).
-2*r*(11*r + 2)/3
Suppose 5*c + 0 = 3*v + 6, -3*c = 2*v + 4. Suppose 5*s + c*s = 10. Factor 0*b - 3/2*b**s + 0 - 3/2*b**3.
-3*b**2*(b + 1)/2
Let n(d) be the second derivative of d**4/66 + 16*d**3/33 - 17*d**2/11 + 2*d + 3. Factor n(w).
2*(w - 1)*(w + 17)/11
Let l(i) be the third derivative of i**6/160 - i**5/20 - 35*i**4/32 + 75*i**3/4 - 8*i**2 + 2. Suppose l(a) = 0. What is a?
-6, 5
Let -441/5 - 42/5*v - 1/5*v**2 = 0. What is v?
-21
Let a(c) be the second derivative of c**6/120 + c**5/80 - c**4/6 - c**3/2 + 100*c. Suppose a(h) = 0. What is h?
-2, 0, 3
Let o(d) be the second derivative of d**8/10080 + d**7/1890 + 11*d**4/12 - 16*d. Let i(k) be the third derivative of o(k). Find b such that i(b) = 0.
-2, 0
Let v(b) = b - 13. Let a be v(15). Find r, given that 96*r + a*r**3 + 73 - 18 + 33 + 40 + 24*r**2 = 0.
-4
Let 1/11*g**3 + 17/11*g**2 + 30/11*g + 0 = 0. What is g?
-15, -2, 0
Let b(g) be the second derivative of -g**6/150 - 2*g**5/25 - 11*g**4/30 - 4*g**3/5 - 9*g**2/10 + 124*g. Factor b(w).
-(w + 1)**2*(w + 3)**2/5
Let p be 46/10 + 5/(0 + -5). Let l = -1448/5 - -292. What is j in l*j - 2/5*j**2 - p = 0?
3
Let h(g) = 3*g**2 + 117*g - 114. Let w(b) = -3*b**2 - 116*b + 112. Let f(y) = -7*h(y) - 6*w(y). What is m in f(m) = 0?
-42, 1
Let o = 43 + -46. Let i(x) = -x. Let a(b) = -b**2 - 3*b - 3. Let n(m) = o*a(m) + 21*i(m). Solve n(g) = 0.
1, 3
Factor 1/2*q**3 + 0 + 3*q - 7/2*q**2.
q*(q - 6)*(q - 1)/2
Factor -2/5*a**3 + 8/5*a**2 + 12/5 + 22/5*a.
-2*(a - 6)*(a + 1)**2/5
Let o be 0 - (-5)/50*5. Factor 5/4*p**2 - p**3 + 0 + 1/4*p**4 - o*p.
p*(p - 2)*(p - 1)**2/4
Let z(d) be the second derivative of d**7/189 - 2*d**6/135 - d**5/30 + 79*d. Solve z(w) = 0.
-1, 0, 3
Let s(i) be the second derivative of -i**5/200 - i**4/20 + 49*i**3/60 - 33*i**2/10 - 4*i + 1. Determine y, given that s(y) = 0.
-11, 2, 3
Let a(o) = -13*o**2 - 55*o - 7. Let w(l) = -6*l**2 - 27*l - 3. Let r(z) = 3*a(z) - 7*w(z). Determine y, given that r(y) = 0.
-8, 0
Let l(f) be the first derivative of -5*f**4 + 15*f**3 + 15*f**2/2 - 50*f - 355. Find g such that l(g) = 0.
-1, 5/4, 2
Factor -21/4*c**2 + 9 - 30*c.
-3*(c + 6)*(7*c - 2)/4
Suppose -28 = -3*g - 4*g. Let d be 5 + (-6)/24 - g. Factor y**2 - 1/2 + 1/4*y - d*y**3.
-(y - 1)**2*(3*y + 2)/4
Let r(i) = 3*i**2 - 6*i. Let w be r(5). Determine j so that 2*j**5 - 5*j**2 + 84*j + 32*j**4 - 5*j**5 - 72 - j**5 - 80*j**3 + w*j**2 = 0.
-1, 1, 2, 3
Let b(o) be the first derivative of -o**7/252 - o**6/90 + o**5/30 + o**4/9 - 11*o - 37. Let h(q) be the first derivative of b(q). Suppose h(r) = 0. Calculate r.
-2, 0, 2
Let o = 39 + -33. What is q in 3*q + 12*q**2 - 6*q**3 - 18 + 3*q**3 + o = 0?
-1, 1, 4
Let t(m) be the