hat is m in b(m) = 0?
-1, -2/5, 1
Solve -2 + 1/3*r + 1/3*r**2 = 0 for r.
-3, 2
Let d(y) be the first derivative of y**6/21 + 26*y**5/35 + 47*y**4/14 + 46*y**3/21 - 48*y**2/7 - 72*y/7 + 46. Suppose d(f) = 0. What is f?
-6, -1, 1
Let t(d) be the third derivative of d**7/45 - d**6/15 + d**5/30 + d**4/18 - 88*d**2. What is h in t(h) = 0?
-2/7, 0, 1
Let n(d) be the second derivative of 0 + 1/54*d**4 - 12*d + 0*d**2 - 1/27*d**3. Let n(q) = 0. Calculate q.
0, 1
Suppose 0 = 5*p, -5*x - p + 3 = -27. Factor -12*w**2 - 3 + x*w**2 + w**2 + 7*w + w**3.
(w - 3)*(w - 1)**2
Determine w, given that 40/13 - 2/13*w**2 + 16/13*w = 0.
-2, 10
Let q(b) be the first derivative of b**4/8 + b**3/3 - 3*b**2/4 + 82. Factor q(j).
j*(j - 1)*(j + 3)/2
Let b be 18/(-28)*(-49)/12. Determine h so that -b*h**3 + 7*h + 3/2 + 43/8*h**2 = 0.
-2/3, -2/7, 3
Let 28/9*l + 2/3 - 34/9*l**2 = 0. Calculate l.
-3/17, 1
Factor 157*t - 24649/2 - 1/2*t**2.
-(t - 157)**2/2
Let j(s) be the first derivative of -3*s**4/20 + 2*s**3/5 - 3*s**2/10 + 300. Let j(t) = 0. What is t?
0, 1
Factor 8/5*l**2 - 22/5*l + 2/5*l**3 - 12.
2*(l - 3)*(l + 2)*(l + 5)/5
Let b(t) be the first derivative of -t**6/24 + 3*t**5/5 + 13*t**4/16 + 531. Determine w, given that b(w) = 0.
-1, 0, 13
Let r = -35567/5 - -252969/35. Let m = r - 114. Factor 6/7*y**3 + m*y**5 + 6/7*y**4 + 2/7*y**2 + 0 + 0*y.
2*y**2*(y + 1)**3/7
Let k(c) = c - 3. Let i be k(8). Solve -v**2 + v**3 + v**4 - 5*v**i - 2*v + 4*v**5 + 2*v**3 = 0.
-1, 0, 1, 2
Let f(m) be the first derivative of 2*m**4/5 + 23*m**3/15 - 3*m**2/10 - 559. Suppose f(r) = 0. Calculate r.
-3, 0, 1/8
Determine c, given that 9/5*c + 6/5 + 3/5*c**2 = 0.
-2, -1
Let u(g) be the first derivative of -g**6/6 - 3*g**5/5 - g**4/4 + g**3 + g**2 + 79. Let u(t) = 0. Calculate t.
-2, -1, 0, 1
Let a(u) be the second derivative of u**7/294 + u**6/42 - u**5/28 - 25*u**4/84 + 2*u**3/21 + 10*u**2/7 - 2*u + 267. Suppose a(k) = 0. Calculate k.
-5, -2, -1, 1, 2
Let q(t) be the third derivative of t**6/600 + t**5/60 + t**4/30 + 130*t**2. Determine d so that q(d) = 0.
-4, -1, 0
Let j = -5191/8 - -649. Let -j*f - 1/8*f**2 + 0 = 0. What is f?
-1, 0
Let d(g) be the third derivative of 4*g**7/105 - 7*g**6/90 - 3*g**5/5 - 17*g**4/18 - 2*g**3/3 + 58*g**2. Suppose d(t) = 0. Calculate t.
-1, -1/2, -1/3, 3
Solve -1/11*a**2 + 0 - a = 0 for a.
-11, 0
Let d(c) = -c**2 + 2*c + 2. Let f be d(-2). Let o be 10 - 11 - 7/f. Factor 1/6*k**3 + 0 + 0*k**2 - o*k.
k*(k - 1)*(k + 1)/6
Let 40/13*r**3 + 12/13 - 20/13*r**2 - 34/13*r + 8/13*r**4 - 6/13*r**5 = 0. What is r?
-2, -1, 1/3, 1, 3
Let h(r) be the first derivative of r**4/42 + r**3/21 - 2*r**2/7 + 24*r + 41. Let u(n) be the first derivative of h(n). What is j in u(j) = 0?
-2, 1
Let b(k) be the first derivative of 2*k**5/35 - 9*k**4/7 + 22*k**3/7 - 16*k**2/7 + 218. Factor b(c).
2*c*(c - 16)*(c - 1)**2/7
Let r(q) be the second derivative of -q**4/36 + 5*q**3/9 - 3*q**2/2 - 194*q. Factor r(y).
-(y - 9)*(y - 1)/3
Let b be -25*(-4)/1550 + 492/1023. Factor b + 2/11*f**2 - 10/11*f + 2/11*f**3.
2*(f - 1)**2*(f + 3)/11
Let d(h) = -h + 3. Let m be d(0). Factor 0*p - m*p**2 - p**2 - 2*p - 2*p.
-4*p*(p + 1)
Solve -7 - 4/3*r + 1/3*r**2 = 0 for r.
-3, 7
Let i(b) be the first derivative of b**7/70 - b**6/30 + b**5/50 - 8*b - 3. Let x(o) be the first derivative of i(o). Factor x(q).
q**3*(q - 1)*(3*q - 2)/5
Suppose 0 = -d - 4*m + 104, 0*d + d + 2*m = 110. Suppose -92*i**2 - 48*i - d*i**2 - 315*i**3 + 71*i**3 - 60*i**4 = 0. What is i?
-3, -2/3, -2/5, 0
Let i(v) be the first derivative of 2*v**5/15 + 7*v**4/6 + 34*v**3/9 + 17*v**2/3 + 4*v - 314. Factor i(y).
2*(y + 1)**2*(y + 2)*(y + 3)/3
Suppose -3*j = -39 + 24. Factor -h - h**4 - 6*h**2 + j*h**3 + 8 - 9*h + 6*h.
-(h - 2)**3*(h + 1)
Let b(n) = -6*n**2 - 426*n - 11232. Let p(q) = -13*q**2 - 853*q - 22462. Let g(a) = 5*b(a) - 2*p(a). Factor g(u).
-4*(u + 53)**2
Suppose -5*m + 26 = 7*v - 10*v, 5*v + 22 = 3*m. Let q(l) be the third derivative of 0*l + 0 - 1/72*l**m - 1/9*l**3 + 1/180*l**5 - 5*l**2. Factor q(d).
(d - 2)*(d + 1)/3
Let s be -2 - (-3 - (-2 + 0)). Let z = 3 + s. Solve 0*j**4 - j**z + j**4 + 2*j**5 - j**3 - j**5 = 0 for j.
-1, 0, 1
Let q = 2162 - 2160. Let c = 20 + -59/3. Factor -1/3*w**q - c*w + 0.
-w*(w + 1)/3
Let m = 1901/4 - 474. Let i(w) be the second derivative of -3*w + m*w**5 + 0 - 2*w**2 - 2/5*w**6 + 7/12*w**4 - 8/3*w**3. Suppose i(f) = 0. What is f?
-2/3, -1/4, 1, 2
Factor 3*l + 0*l + 4*l**2 + 3*l + 6*l - l**2.
3*l*(l + 4)
Suppose -r + 4 + 0 = -5*m, m = 0. Factor 2/5*l**5 + 8/5*l + 12/5*l**r + 24/5*l**2 + 26/5*l**3 + 0.
2*l*(l + 1)**2*(l + 2)**2/5
Suppose -12/5*s**3 + 4*s - 13/5*s**2 - 4/5 = 0. What is s?
-2, 1/4, 2/3
Factor -4*j - 5*j**3 + 4*j + 11*j**2 - 61*j**2.
-5*j**2*(j + 10)
Let a(d) be the first derivative of 3*d**5/20 - 15*d**4/16 + d**3 + 65. Factor a(o).
3*o**2*(o - 4)*(o - 1)/4
Solve -11*a + 2*a**4 + 38*a**2 - 15*a - 62 + 0*a**4 - 16*a + 22 + 42*a**3 = 0.
-20, -1, 1
Let f(d) = d**3 - d**2 + 1. Let w(m) be the third derivative of m**6/40 - m**5/60 - 7*m**4/12 - 11*m**3/6 + 23*m**2. Let z(a) = f(a) - w(a). Factor z(i).
-2*(i - 3)*(i + 1)*(i + 2)
Factor b**4 - 8*b**3 + b**3 + 12*b**3 + 2*b**2 + 18*b - 26*b.
b*(b - 1)*(b + 2)*(b + 4)
Let k(v) = v**2 + 186 - 97 - 90. Let u(s) = 12*s**2 + 8*s - 4. Let p(x) = x**2 - 1. Let j(w) = 5*p(w) - u(w). Let z(r) = j(r) - 5*k(r). Solve z(i) = 0 for i.
-1, 1/3
Let x(w) be the third derivative of 0*w**3 + 0*w + 20*w**2 - 1/336*w**8 + 1/210*w**7 + 0*w**5 + 0 + 0*w**4 + 0*w**6. Let x(z) = 0. What is z?
0, 1
Let k = 217/242 - -3/242. Factor -18/11*q**2 + k*q**3 + 14/11*q - 2/11*q**4 - 4/11.
-2*(q - 2)*(q - 1)**3/11
Factor 3/2*o + 0 - 2*o**2 + 1/2*o**3.
o*(o - 3)*(o - 1)/2
Let d(f) be the second derivative of f**6/600 + f**5/100 + f**4/60 - 5*f**2/2 + f. Let s(n) be the first derivative of d(n). Determine o so that s(o) = 0.
-2, -1, 0
Let i be ((-55)/(-25) + -3)*(-4 + 26/8). Factor 0 + 0*r**3 - 2/5*r + i*r**2 - 1/5*r**4.
-r*(r - 1)**2*(r + 2)/5
Determine i, given that 10*i + 95*i**2 + 98*i**2 - 2*i**4 + 14*i**3 + 101*i**2 - 316*i**2 = 0.
0, 1, 5
Suppose 737*o - 64 = 719*o - 10. Find d, given that -9/8*d**2 + 3/8*d - 5/4*d**o + 1/4 = 0.
-1, -2/5, 1/2
Let j = -191 + 196. Let h(b) be the first derivative of -j - 6*b - 2/9*b**3 - 2*b**2. What is m in h(m) = 0?
-3
Let t be 12*8/64*16/6. Factor 0*o - 2*o**3 + 0 + 4/3*o**2 + 2/3*o**t.
2*o**2*(o - 2)*(o - 1)/3
Suppose -3*i = 3*j + 2*i - 132, j - 5*i - 24 = 0. Suppose 43*t = j*t + 8. Factor 2/5 + 4/5*m**t - 1/5*m**3 - m.
-(m - 2)*(m - 1)**2/5
Let d(c) be the second derivative of 0 + 5/2*c**3 + 5/12*c**4 + 5*c**2 + 6*c. Factor d(b).
5*(b + 1)*(b + 2)
Suppose -2*b + 3*w + 46 - 29 = 0, -b + w + 7 = 0. Let x(g) be the first derivative of 2 + 1/14*g**b + 2/21*g**3 + 0*g**2 + 0*g. Let x(f) = 0. What is f?
-1, 0
Let y be (-85)/(-15) + 1/3. Suppose -h = -9 - y. Let 5*s**4 + 15*s - h*s**3 + 7*s**2 - 2*s**2 + 3 - 13 = 0. Calculate s.
-1, 1, 2
Let q(g) be the first derivative of -3*g**5/20 + 5*g**4/12 + g**3/3 - 14*g - 12. Let k(o) be the first derivative of q(o). Solve k(x) = 0.
-1/3, 0, 2
Let c(y) be the first derivative of 2*y**3/3 + 186*y**2 + 370*y - 66. Factor c(l).
2*(l + 1)*(l + 185)
Factor -1/4*b**2 + 11/4 + 5/2*b.
-(b - 11)*(b + 1)/4
Let g(r) be the first derivative of 5*r**3/12 - 285*r**2/8 - 145*r/2 - 293. Determine x, given that g(x) = 0.
-1, 58
Let v(q) be the third derivative of -q**9/1008 + 3*q**8/560 - q**7/140 + q**3 + 2*q**2. Let x(u) be the first derivative of v(u). Let x(o) = 0. Calculate o.
0, 1, 2
Suppose -1389*k = -1330*k - 177. Factor -6/7*a**4 + 36/7*a**2 + 0*a**k + 18/7 - 48/7*a.
-6*(a - 1)**3*(a + 3)/7
Suppose 0*p + 3*p = -3*i + 414, 3*i = p + 430. Factor -i*r**2 + 50*r**2 - 8 + 4 - 60*r**3 - 36*r.
-4*(r + 1)*(3*r + 1)*(5*r + 1)
Let n(r) = 9*r**3 + 3*r**2 + 4*r. Let p be 2/9 - (-423)/(-81). Let j(x) = -5*x**3 - x**2 - 2*x. Let v(s) = p*j(s) - 3*n(s). Factor v(d).
-2*d*(d + 1)**2
Let o(u) be the second derivative of -4*u**5/5 + 41*u**4/3 - 220*u**3/3 + 50*u**2 + u + 47. Factor o(f).
-4*(f - 5)**2*(4*f - 1)
Solve 2/7*l**2 + 20/7*l + 50/7 = 0 for l.
-5
Factor 16/11*p - 15/11 - 1/11*p**2.
-(p - 15)*(p - 1)/11
Let p be (0 + (-2)/(-1))/(1106/474). Factor -8/7*d**2 - 2/7*d**3 + 0 - p*d.
-2*d*(d + 1)*(d + 3)/7
Let j = 52826/44005