) + 3*s(p). Suppose 3*b - 3 = 15. Let m(r) = -r**2 - 4*r - 6. Let k(y) = b*d(y) + 3*m(y). Factor k(t).
-3*(t + 2)**2
Solve 1/2*d - 3/8 - 1/8*d**2 = 0.
1, 3
Let r(l) = 52*l + 106. Let c be r(-2). Factor 8/13 - 10/13*x + 2/13*x**c.
2*(x - 4)*(x - 1)/13
Let x be 1/3 + 1/36*-11. Let n(g) be the second derivative of -1/18*g**3 - 8*g + 1/3*g**2 - x*g**4 + 0. Factor n(r).
-(r - 1)*(r + 2)/3
Let k(a) be the first derivative of 2*a**3/45 + 3*a**2/5 + 28*a/15 - 126. Factor k(n).
2*(n + 2)*(n + 7)/15
Let m(b) = 11*b**2 - 24*b + 15. Let q(t) = t**3 + 2*t**2 - 1. Let u(d) = -5*m(d) + 5*q(d). Solve u(n) = 0 for n.
1, 4
Let v(z) = z**3 - 7*z**2 - 9*z + 10. Let h be v(8). Let k be h/(-4) - 39/(-2). Factor 6*c**3 - 9*c**2 + 0*c**4 - k + 7 - 24*c + 3*c**4.
3*(c - 2)*(c + 1)**2*(c + 2)
Let s(j) be the third derivative of -4/5*j**5 - 11/30*j**6 - 3/4*j**4 + 0*j - j**2 + 0 - 8/105*j**7 - 1/168*j**8 + 0*j**3. Determine l so that s(l) = 0.
-3, -1, 0
Let s(z) = -z**2 - z + 4. Let h(n) = -n**2 - n + 3. Let y(a) = 2*h(a) - s(a). What is j in y(j) = 0?
-2, 1
Factor 52/5*l**2 + 0 + 16/5*l**3 + 12/5*l.
4*l*(l + 3)*(4*l + 1)/5
Let v be 3/(2 + 4/(-8)). Find x such that -2*x**2 - 9*x**3 - 3*x**4 - 8*x**v + 8*x**2 - 4*x**2 = 0.
-2, -1, 0
Let u(b) = -4*b**3 + 65*b**2 - 134*b + 16. Let r(p) = -18*p**3 + 325*p**2 - 669*p + 80. Let o(f) = 6*r(f) - 33*u(f). Factor o(n).
3*(n - 4)**2*(8*n - 1)
Let r be (-32 - -35) + (2 - 3). Let a(d) be the second derivative of 11*d + 0*d**3 - 1/18*d**4 + 4/3*d**r + 0. Determine j, given that a(j) = 0.
-2, 2
Suppose -2 = -f - 0. Let z(n) be the first derivative of 8 - 5*n**2 + 4*n**2 - 2*n**3 + 2*n**f. Find k, given that z(k) = 0.
0, 1/3
Let l(d) be the third derivative of -d**6/60 + 7*d**4/4 + 20*d**3/3 - 627*d**2. Factor l(j).
-2*(j - 5)*(j + 1)*(j + 4)
Let u(r) be the third derivative of -r**7/210 + 7*r**6/60 + 11*r**5/20 - 7*r**4/12 - 16*r**3/3 + 2*r**2 - 265*r. Determine s, given that u(s) = 0.
-2, -1, 1, 16
Let a(z) = z**3 - 2*z**2 - 7. Let s be a(3). Factor -y**4 - 244*y**3 + y**2 + y - s + 243*y**3 + 2.
-y*(y - 1)*(y + 1)**2
Let b = -15959 + 79801/5. Solve -b*i**3 - 16/5*i**2 - 8/5*i + 0 = 0.
-2, -2/3, 0
Let o(g) be the first derivative of -2*g**3/21 - 18*g**2/7 - 85. Factor o(y).
-2*y*(y + 18)/7
Let q = 54 - -33. Find a such that -16 + 68*a**2 + q*a**4 + 33*a**3 - 67*a**4 + 39*a**3 = 0.
-2, -1, 2/5
Suppose -44*h = -43*h - 2. Let o = 2/301 - -293/1204. Let -o + 1/2*s - 1/4*s**h = 0. What is s?
1
Suppose -16*p + 12*p - a = -19, 2*p - 4*a = 14. Determine l so that -3*l + 6*l**3 - 27*l**3 - 3*l**p + 27*l**3 = 0.
-1, 0, 1
Let p = -58 - -63. Factor -6*n**4 + 6*n**2 - 4*n**3 - 3*n**p + 3*n**3 + 5*n**5 + 3*n**3 - 4*n.
2*n*(n - 2)*(n - 1)**2*(n + 1)
Let v(x) be the third derivative of -x**5/360 - 5*x**4/144 - x**3/9 - 199*x**2. Factor v(y).
-(y + 1)*(y + 4)/6
Let r(i) be the first derivative of 2/3*i**3 - 6*i**2 + 18*i - 6. Factor r(b).
2*(b - 3)**2
Let w(s) be the third derivative of -7 - 1/420*s**7 + 2*s**2 - 1/4*s**5 - 11/12*s**4 - 2*s**3 - 3/80*s**6 + 0*s. Suppose w(f) = 0. What is f?
-3, -2
Let d(b) be the third derivative of b**7/70 + 11*b**6/40 + 2*b**5 + 6*b**4 - 342*b**2. Factor d(z).
3*z*(z + 3)*(z + 4)**2
Let q be (-168)/420*5/(-3). Let s(m) be the first derivative of 0*m**2 + q*m**5 + 0*m - 4/9*m**3 - 8 - 1/2*m**4. Solve s(c) = 0 for c.
-2/5, 0, 1
Let n be 1/(-4) + (-5 - (-176)/32). Solve -n*j**2 - 25/4 + 5/2*j = 0 for j.
5
Let i(p) = -33*p**4 - 58*p**3 + 33*p**2 + 52*p + 6. Let s(c) = -34*c**4 - 59*c**3 + 34*c**2 + 51*c + 8. Let d(z) = 4*i(z) - 3*s(z). What is g in d(g) = 0?
-11/6, -1, 0, 1
Let p be (0 - -14) + 6 + -6. Factor 10*d**2 + 12*d + 36 - 2*d + p*d - 6*d**2.
4*(d + 3)**2
Let c(f) be the first derivative of f**6/9 + 2*f**5/15 - f**4/2 - 10*f**3/9 - 2*f**2/3 - 85. Determine w, given that c(w) = 0.
-1, 0, 2
Let y be (10/25)/(30/50). Suppose 2*p + 2*p = 8. Factor y - 4/3*u + 2/3*u**p.
2*(u - 1)**2/3
Let l be -3 - (-7)/3*3. Solve 12*h - 11*h - 3*h + 2*h**2 - l = 0 for h.
-1, 2
Suppose -p = 4*p - 4*k - 10, 0 = 2*k. Suppose -6*z - z**2 - 8*z + 4*z**2 - 2*z**3 + 13*z**p = 0. Calculate z.
0, 1, 7
Let o(t) be the third derivative of t**6/240 + t**5/20 + t**4/4 + 2*t**3/3 + 28*t**2. What is r in o(r) = 0?
-2
Let k be -1 + 2/(-2) + 330/125. Let q = k + -7/50. Factor -1/2 - i**3 + 1/2*i**5 + i**2 - q*i**4 + 1/2*i.
(i - 1)**3*(i + 1)**2/2
Let v(w) = 2*w**2 + 7*w + 3. Let r be v(-5). Let s be r/8 - 12/(-16). Suppose -3*l**3 - 3*l**4 - 5*l**2 - 4*l**2 - 6*l**s - 3*l = 0. What is l?
-1, 0
Find c, given that 0*c**2 - 4/7*c**3 + 2/7*c + 2/7*c**5 + 0*c**4 + 0 = 0.
-1, 0, 1
Factor -16/3*i**3 - 10*i**2 + 0 - 2/3*i**4 + 0*i.
-2*i**2*(i + 3)*(i + 5)/3
Let f be 78/(-1521)*13 + 8/3. Suppose -c**3 - 3/2*c**4 + c - 1/2 + 2*c**f = 0. Calculate c.
-1, 1/3, 1
Let d(i) be the second derivative of -i**4/3 - 76*i**3/3 - 144*i**2 - 407*i. Find l, given that d(l) = 0.
-36, -2
Suppose 12 = -50*u + 53*u. Determine n, given that 8*n**2 - 4*n**3 + u*n + 150 - 78 - 80 + 0*n = 0.
-1, 1, 2
Determine k, given that 0*k + 8/9*k**2 + 0 + 4/9*k**3 = 0.
-2, 0
Solve -639*k**3 - 36 - 231*k**4 + 10 + 20 + 147*k**5 - 30 + 192*k - 33*k**2 = 0 for k.
-1, 2/7, 3
Let d(b) be the third derivative of b**9/15120 + b**8/4200 - b**7/4200 - b**6/900 + 5*b**3/3 - 4*b**2. Let y(r) be the first derivative of d(r). Factor y(n).
n**2*(n - 1)*(n + 1)*(n + 2)/5
Let s(n) = n + 1. Let u(d) = -d**2 - 13. Let w(q) = 4*s(q) - u(q). Let b(y) = -y**2 - 5*y - 16. Let l(j) = 7*b(j) + 6*w(j). Factor l(c).
-(c + 1)*(c + 10)
Determine c so that 342*c**4 - 38*c**3 - 523*c**4 + 281*c**4 - 8*c**2 - 54*c**5 = 0.
-4/27, 0, 1
Suppose 25*u = 30*u + 10. Let s be ((-12)/(-6))/u*(-2)/7. Factor -4/7*y - s*y**2 + 6/7.
-2*(y - 1)*(y + 3)/7
Let y be 10621/285 + (-2)/(-5). Let j = 139/3 - y. Determine b, given that -8/3 - 32/3*b + 22/3*b**3 - j*b**2 + 16/3*b**4 - 8/3*b**5 = 0.
-1, -1/2, 2
Let y(p) be the third derivative of -p**5/30 + 17*p**4/12 - 10*p**3 + 194*p**2. Factor y(s).
-2*(s - 15)*(s - 2)
Let g = -5008/3 + 1671. Determine z so that 5/3*z**3 - 5/3*z - g*z**2 + 5/3 = 0.
-1, 1
Let y = -186/25 + 196/25. Let 0 + 1/10*s**4 + y*s**2 + 2/5*s**3 + 0*s = 0. Calculate s.
-2, 0
Let h(i) be the first derivative of -507*i**4/16 - 923*i**3/2 - 1197*i**2/2 - 270*i + 608. Determine q so that h(q) = 0.
-10, -6/13
Suppose 4*u - 2*p = 12, -5*u - 3*p - 42 = -57. Let f(v) be the first derivative of -2 - v**2 - v - 1/3*v**u. Factor f(m).
-(m + 1)**2
Let u(c) be the second derivative of -1/100*c**5 - 1/5*c**2 - 19*c + 1/30*c**4 + 1/30*c**3 + 0. Suppose u(k) = 0. Calculate k.
-1, 1, 2
Suppose -33 = b - 28, -5*b = 3*d + 19. Factor -27/2*m**d - 36*m - 3/2*m**3 - 24.
-3*(m + 1)*(m + 4)**2/2
Let i = -51/10 + 11/2. Let v(l) be the first derivative of 0*l + i*l**2 - 4/15*l**3 + 5. Factor v(q).
-4*q*(q - 1)/5
Let b(v) be the first derivative of -13/2*v**2 + 3 - 1/3*v**3 + 2*v. Let h(f) = 3*f**2 + 27*f - 3. Let t(x) = 9*b(x) + 4*h(x). Factor t(r).
3*(r - 2)*(r - 1)
Let w(n) be the third derivative of 0*n**3 + 1/120*n**6 + 0*n + 1/30*n**5 + 0 + 4*n**2 + 0*n**4. Factor w(q).
q**2*(q + 2)
Let r(n) be the second derivative of n**7/5040 + n**6/720 - n**5/80 + 3*n**4/4 - 12*n. Let l(q) be the third derivative of r(q). What is k in l(k) = 0?
-3, 1
Suppose -s = -706 - 440. What is p in 30*p**2 - 35*p**3 - 3*p + 8*p + s + 10*p**4 - 1156 = 0?
-1/2, 1, 2
Suppose -3*b + 10/3 - 1/3*b**2 = 0. What is b?
-10, 1
Let h be -3*-2*2/4. Suppose -12 - 8 = -5*w. Find s such that -s**2 - w + h + 0*s**2 + 3 - s = 0.
-2, 1
Let r = 13 - 6. Suppose 19 - r = -3*w. Let c(o) = -16*o**2 - 26*o - 21. Let y(t) = 3*t**2 + 5*t + 4. Let d(s) = w*c(s) - 22*y(s). Let d(m) = 0. Calculate m.
-2, -1
Let t(z) be the second derivative of 4/5*z**2 + 0 - 1/30*z**4 + 2/3*z**3 - 1/20*z**5 + 10*z. Suppose t(w) = 0. Calculate w.
-2, -2/5, 2
Solve -108 + 3/2*y**2 + 3/2*y = 0 for y.
-9, 8
Let g = 10 + -7. Find t such that 9*t**3 - 2*t + 6*t**3 - g*t**2 - 16*t**3 = 0.
-2, -1, 0
Let f(m) be the second derivative of -289*m**4/15 - 136*m**3/5 - 72*m**2/5 + 57*m. Determine g, given that f(g) = 0.
-6/17
Let r(p) be the second derivative of -p**6/90 + p**5/60 + p**4/12 - p**3/18 - p**2/3 - 66*p. Factor r(l).
-(l - 2)*(l - 1)*(l + 1)**2/3
Let c(h) = h**3 + 7*h**2 - 7. Let x be c(-6). Determine g, 