t n(m) be the first derivative of -2*m + 0*m**4 + 1 + 4/3*m**3 + t*m**2 - 2/5*m**5. Suppose n(f) = 0. What is f?
-1, 1
Let d(m) = -20*m**2 + 32*m + 14. Let n(l) = -l + 1. Let o(z) = d(z) + 3*n(z). Let t(r) = 7*r**2 - 10*r - 6. Let v(c) = 6*o(c) + 17*t(c). Factor v(i).
-i*(i - 4)
Let v(m) be the third derivative of m**7/105 - 2*m**6/15 + 2*m**5/5 + 71*m**2. Factor v(r).
2*r**2*(r - 6)*(r - 2)
Let f(v) be the second derivative of -v**6/51 - 233*v**5/85 - 3711*v**4/34 - 12788*v**3/51 - 2116*v**2/17 - 267*v - 3. Suppose f(w) = 0. Calculate w.
-46, -1, -1/5
Suppose -14*m + 144 = -10*m. Let 0 + 0 + 6*z - 69*z**2 + m*z**2 = 0. Calculate z.
0, 2/11
Let r(d) = -5*d + 25. Let i be r(4). Let -i*g**2 - 2*g**2 + 6*g - 8*g + 4*g**3 + 0*g = 0. Calculate g.
-1/4, 0, 2
Suppose -7 = -4*g + 3*p, 10*g = 5*g + 4*p + 8. Factor -51*d**g - 4*d**2 - 16*d + 95*d**4 + 10*d**3 - 46*d**4.
-2*d*(d - 4)*(d - 2)*(d + 1)
Solve -44/3*c - 3*c**3 + 38/3*c**2 + 8/3 = 0 for c.
2/9, 2
Let 10*r**2 + 3*r**5 + 1000*r - 22*r**2 - 1036*r + 18*r**4 + 27*r**3 = 0. Calculate r.
-3, -2, 0, 1
Factor -13*t**4 + 5*t**4 + 16 - 21*t**2 + 8*t**3 - 20*t**2 + 2*t**5 + 45*t**2 - 10*t - 12.
2*(t - 2)*(t - 1)**3*(t + 1)
Let 96 + k**2 - 18*k + 21*k + 3*k - 14*k - 20*k = 0. What is k?
4, 24
Let y(r) = r**2 + 4*r + 4. Let f be y(-4). Let u = 4 + -2. Factor -14*m**2 - 1029*m**5 - m**2 - 9*m**u - 882*m**f - 252*m**3.
-3*m**2*(7*m + 2)**3
Let t(q) be the second derivative of q**5/60 - 5*q**4/36 - 4*q**3/9 + 8*q**2 - q + 8. Factor t(y).
(y - 4)**2*(y + 3)/3
Let k be ((-3)/2)/(21/196). Let v(w) = w + w**3 - w. Let z(m) = m**4 + 12*m**3 + 4*m**2. Let f(c) = k*v(c) + 2*z(c). Solve f(p) = 0 for p.
-4, -1, 0
Let j(r) = -34 + r**3 + 33 - 5*r**3 + 3*r**3. Let v(p) = -2*p**4 - 4*p**3 - 6*p**2 - 2*p + 2. Let y(x) = 2*j(x) + v(x). Find s, given that y(s) = 0.
-1, 0
Let 18 + 3*k**3 + 33*k**2 + 19*k**2 + 33*k + 9*k**2 - 43*k**2 = 0. Calculate k.
-3, -2, -1
Let v = 44 + -38. Factor 0*o - o**3 - v + 2 - o**2 + 5 + o.
-(o - 1)*(o + 1)**2
Let k be (((-4)/24)/1)/(24/(-240)). Find h such that -5*h - k*h**2 - 10/3 = 0.
-2, -1
Factor -14/3*x + 1/6*x**3 - 10/3 - 7/6*x**2.
(x - 10)*(x + 1)*(x + 2)/6
Let n(l) be the first derivative of 5/3*l - 32 + 1/3*l**2 - 1/3*l**3. Factor n(d).
-(d + 1)*(3*d - 5)/3
Let q(s) = -2*s**2 - 5*s + 7. Let r be q(-3). Suppose 10*o - 10*o + 6*o**2 + r*o**4 - 12*o**3 + 2*o**2 = 0. Calculate o.
0, 1, 2
Let b = 1004 - 1004. Let r(x) be the third derivative of 0*x**3 + 0*x + b*x**4 - 6/35*x**7 - 8*x**2 - 4/15*x**5 + 2/3*x**6 + 0. Factor r(p).
-4*p**2*(p - 2)*(9*p - 2)
Factor 10/3*t + 2/3*t**2 + 4.
2*(t + 2)*(t + 3)/3
Let j(y) be the third derivative of -y**5/130 + 281*y**4/156 + 94*y**3/39 - 169*y**2 + y. Factor j(q).
-2*(q - 94)*(3*q + 1)/13
Let y(b) = -b**2 + b + 1. Let c(w) = 2*w**2 - 9*w - 12. Let q(g) = 5*c(g) + 15*y(g). Factor q(p).
-5*(p + 3)**2
Let d(h) = -h**3 + 5*h**2 + 48*h + 16. Let j(l) = -l**2 - l - 2. Let w(b) = -3*d(b) - 24*j(b). Solve w(m) = 0.
-8, 0, 5
Let x(w) be the third derivative of w**8/1512 - 13*w**7/945 + 7*w**6/108 + 13*w**5/270 - w**4/3 - 26*w**2. Solve x(c) = 0.
-1, 0, 1, 4, 9
Let k(u) be the third derivative of u**5/15 - 13*u**4/6 + 20*u**3 + u**2 + 7. Let k(z) = 0. What is z?
3, 10
Let n(j) be the third derivative of 1/195*j**5 - 31*j**2 + 0 - 1/390*j**6 - 1/2184*j**8 + 0*j + 1/39*j**3 - 1/455*j**7 + 1/52*j**4. Find x, given that n(x) = 0.
-1, 1
Let t(b) be the third derivative of -b**5/40 + 7*b**4/8 - 33*b**3/4 + 346*b**2. Factor t(s).
-3*(s - 11)*(s - 3)/2
Let y(b) = 16*b**2 - 40*b - 20. Let o = 76 - 88. Let n(l) = l**2 - l + 1. Let z(u) = o*n(u) + y(u). Factor z(p).
4*(p - 8)*(p + 1)
Let d be 1 - ((1 - -2) + 0). Let p be d/10 + (219/45 - 2). Factor 0 - p*h**5 - 2/3*h**2 - 4/3*h**3 + 14/3*h**4 + 0*h.
-2*h**2*(h - 1)**2*(4*h + 1)/3
Let g(h) = h**2 + 0*h**2 - h**3 - 5*h + 4*h. Suppose 5*v + 0*v = 5. Let z(x) = -10*x**3 + 5*x**2. Let c(k) = v*z(k) - 5*g(k). Factor c(t).
-5*t*(t - 1)*(t + 1)
Let i(o) be the third derivative of o**5/12 - 155*o**4/3 + 38440*o**3/3 - 372*o**2 - o. Factor i(q).
5*(q - 124)**2
Let b(o) be the first derivative of o**4/8 + 19*o**3 + 1083*o**2 + 27436*o + 12. Let b(v) = 0. Calculate v.
-38
Let c be (-30)/4*72/(-27). Let w be 15/c + (-10)/(-8). What is q in 1/2*q - 1/2*q**w + 1 = 0?
-1, 2
Let k(v) be the first derivative of 0*v - 3/7*v**2 - 1/7*v**3 + 18 + 3/28*v**4. What is p in k(p) = 0?
-1, 0, 2
Factor 16/7*s - 12/7*s**2 + 2/7*s**3 + 0.
2*s*(s - 4)*(s - 2)/7
Suppose -94*q + 1208 = -86*q. Let w = -151 + q. Factor 0*o - 4/9*o**2 + w + 2/9*o**3.
2*o**2*(o - 2)/9
Determine s so that 1728/11 + 288/11*s - 48/11*s**3 - 6/11*s**5 - 672/11*s**2 + 60/11*s**4 = 0.
-2, 2, 6
Let y(z) = 3*z**2 - 2*z + 3. Let m be y(2). Let c = m + -8. Find l such that -4*l**4 + 8*l**4 - 5*l**c + 10*l**2 - 19*l**4 = 0.
-1, 0, 2/3
Suppose -2*b = -0 - 4. Suppose -3 - 2*a**5 - 16*a**3 - 36*a - 38*a**b - 27*a**3 - 15*a**4 - 5 - 20*a**2 = 0. What is a?
-2, -1, -1/2
Let o be -1*(-2)/(-17)*(-183 - -166). Find l such that 1/7*l**3 + 3/7*l**o + 1/7 + 3/7*l = 0.
-1
Let v(h) be the first derivative of h**5 - 55*h**4/4 + 155*h**3/3 - 105*h**2/2 + 117. Let v(b) = 0. What is b?
0, 1, 3, 7
Let t(s) be the second derivative of -s**7/84 - s**6/60 + 11*s**5/40 + 29*s**4/24 + 13*s**3/6 + 2*s**2 + 125*s. Factor t(a).
-(a - 4)*(a + 1)**3*(a + 2)/2
Suppose -13 = -4*b + 27. Factor 45*h**2 - 138*h + 15*h**3 + 135 - 10*h**3 + 3*h - b*h**3.
-5*(h - 3)**3
Let j be (5/((-30)/4))/(1/3). Let k be (-24)/27*j/8. Find p, given that -2/3*p**3 + 0*p - 2/9*p**5 - 2/3*p**4 + 0 - k*p**2 = 0.
-1, 0
Let d(c) = -4*c + 70. Let q(r) = -1. Let l(u) = -d(u) + 2*q(u). Let z be l(18). Factor -2/5*v**4 + 0 + 6/5*v**2 - 4/5*v + z*v**3.
-2*v*(v - 1)**2*(v + 2)/5
Find r such that -25*r**2 - 40*r - 93 + 7*r**3 + 5*r**3 + 333 - 7*r**3 = 0.
-3, 4
Let m(x) be the first derivative of -x**4 + 2/3*x**6 + 8/3*x**3 + 0*x - 8/5*x**5 + 0*x**2 + 1. Find y such that m(y) = 0.
-1, 0, 1, 2
Factor 417*i + 14*i**3 - 455*i**2 - 80*i - 39*i**3 - 655*i - 960 - 946*i.
-(i + 15)*(5*i + 8)**2
Factor 896/5*a + 1/5*a**4 + 1024/5 - 28/5*a**3 + 132/5*a**2.
(a - 16)**2*(a + 2)**2/5
Let u(n) = -8*n + 2*n**3 - 3*n**3 - 4*n**3 + 4*n**3 - 7*n**2 - 8. Let d be u(-6). Determine i so that 0*i**4 + 2*i - 2*i**3 - 6*i**d + 4*i**4 + 2*i**2 = 0.
-1, 0, 1
Let f = 37 + -25. Solve f*l**2 + 20*l + 6*l**2 - 13*l**2 = 0 for l.
-4, 0
Suppose 5*x + 88 = 13*x. Factor 9*w**4 + 5*w**3 + 4*w**2 + 2*w**4 - x*w**3 - 9*w**4.
2*w**2*(w - 2)*(w - 1)
Let y = 4004 + -4000. Solve -4*g + 2 + 7/2*g**3 + 1/2*g**2 + 1/2*g**5 - 5/2*g**y = 0 for g.
-1, 1, 2
Let z(a) = -8*a**4 - 10*a**3 + 22*a**2 + 33*a - 9. Let c(q) = -4*q**4 - 4*q**3 + 12*q**2 + 16*q - 4. Let r(g) = 9*c(g) - 4*z(g). Factor r(h).
-4*h*(h - 3)*(h + 1)**2
Let o(v) = v + 7. Let i be o(-2). Let -4*t**i - 4*t**3 - 21*t**4 + 30*t**4 - 17*t**4 = 0. What is t?
-1, 0
Let u be (10/2)/(-2 + 3). Let c(b) = 4*b**3 + 45*b**2 - 225*b + 375. Let i(a) = 3*a**3 + 30*a**2 - 150*a + 250. Let w(s) = u*c(s) - 7*i(s). Factor w(d).
-(d - 5)**3
Find k such that 48 + 268/3*k**2 + 8*k**4 - 2/3*k**5 - 38*k**3 - 104*k = 0.
2, 3
Determine p so that -2*p**2 - 45 - 11*p**2 - 23 - 56*p + p**3 - 8*p = 0.
-2, 17
What is v in -135*v + 3/4*v**2 + 6075 = 0?
90
Let m(p) = 2*p**2 - 1 - p - p**2 - p**2 + p**2. Let t(c) = 30*c**2 - 35*c - 20. Let r(v) = -25*m(v) + t(v). Find z, given that r(z) = 0.
1
Factor -12/7*z**3 + 4*z - 4*z**2 + 12/7.
-4*(z - 1)*(z + 3)*(3*z + 1)/7
Let h be (4/(-8))/((-1)/48). Let w = 24 - h. Factor l**3 + w - 7/5*l**2 + 2/5*l.
l*(l - 1)*(5*l - 2)/5
Let b be (((-440)/90)/11)/((-3)/18). Let z(c) be the first derivative of -26/9*c**3 + b*c + 7/12*c**4 + 10/3*c**2 + 4. Factor z(p).
(p - 2)**2*(7*p + 2)/3
Suppose -5*t = 129 - 159. Let a(r) = 2*r**2. Let w(n) = -13*n**2 - 4*n + 5. Let z(s) = t*a(s) + w(s). Factor z(o).
-(o - 1)*(o + 5)
Let t(n) be the first derivative of n**6/105 - n**4/21 + n**2/7 + 8*n + 10. Let g(f) be the first derivative of t(f). Factor g(z).
2*(z - 1)**2*(z + 1)**2/7
Let y be -14*((-74)/(-28) + 1/(-7)). Let l = y - -38. Factor 0 + 0*s - 1/3*s**l + 2/3*s**2.
-s**2*(s - 2)/3
Factor 4*w**3 + 3*w**2 - 5*w**2 - 693*w + 717*w + 15*w**2 + 15*w**2.
4*w*(w + 1)*(w + 6)
Suppose 0 = k + 5*g + 3, 10 = k + 3*g + 9. Let x(w) be the first 