*m**2 - 14/15*m - 2/5*m**3 - 4/15.
-2*(m + 1)**2*(3*m + 2)/15
Suppose -23 = -h + 4*n, 4*n = -0*h - 2*h - 14. Let i(t) be the first derivative of 0*t**h + 0*t**5 + 4 + 0*t + 0*t**2 - 1/2*t**6 + 3/4*t**4. Factor i(k).
-3*k**3*(k - 1)*(k + 1)
Let 82/7*c + 2/7*c**3 - 44/7*c**2 - 40/7 = 0. What is c?
1, 20
Let x(n) be the second derivative of -2*n**7/189 + 8*n**6/45 - 53*n**5/45 + 110*n**4/27 - 8*n**3 + 80*n**2/9 - 57*n. Suppose x(d) = 0. Calculate d.
1, 2, 5
Let g = -213545 - -23490201/110. Let n = g + -21/10. Suppose n*h**2 - 6/11*h + 0 = 0. Calculate h.
0, 3
Let t(r) be the second derivative of r**7/1155 + r**6/330 - r**5/330 - r**4/66 + 3*r**2/2 + 2*r. Let v(y) be the first derivative of t(y). Solve v(g) = 0.
-2, -1, 0, 1
Let p(w) = w + 9. Let u be p(-7). Factor -2*y**3 - 33*y - 35*y - 2*y**3 + 32 + 40*y**u.
-4*(y - 8)*(y - 1)**2
Let z(y) be the second derivative of -y**4/4 + 159*y**3/2 - 237*y**2 + 20*y. Determine h so that z(h) = 0.
1, 158
Let a be (1 + 396/(-210) + 5)*5/2. Factor a - 24/7*t + 2/7*t**2.
2*(t - 6)**2/7
Let x be (-6)/(-39) + 102/2210. Factor 0 - x*h**2 + 0*h.
-h**2/5
Let q be 128/(-6) - (-8)/24. Let a = -19 - q. What is w in 2 + 4*w**2 + 12*w + 6 + a - 2 = 0?
-2, -1
Suppose 5*q - 4*n = 34, -3*n = -0*q + q - 3. Let r(b) = 3*b**2 + 5*b - 7. Let p(j) = 19*j**2 + 29*j - 41. Let h(w) = q*p(w) - 34*r(w). What is d in h(d) = 0?
-1, 2/3
Let f(r) = r**2 + 5*r - 1. Let u(n) = -10*n**2 + 18*n - 102. Let s(d) = 6*f(d) + u(d). Factor s(i).
-4*(i - 9)*(i - 3)
Let r be 2/(-4) + 2 + -1. Let t = -607 - -611. Factor 0 + r*w**t - w**3 + w - 1/2*w**2.
w*(w - 2)*(w - 1)*(w + 1)/2
Solve 0 - 2/3*h**2 + 62/3*h = 0 for h.
0, 31
Let d(r) be the first derivative of -r**5/5 + 3*r**4/5 - 3*r**3/5 + r**2/5 + 311. Solve d(y) = 0.
0, 2/5, 1
Suppose 4*x - 15 = 4*b + b, b + 4*x - 21 = 0. Let q be (15/(-20))/(b/(-4)). Factor -q*o**2 + 5*o**2 - 3*o**2.
-o**2
Suppose -3 - 57 = -4*i. Suppose 4*v = i - 7. Factor 1/2*m**v - m + 0.
m*(m - 2)/2
Let w(x) be the third derivative of 3*x**7/70 - 13*x**6/20 + 13*x**5/5 - 3*x**4 - 211*x**2. Factor w(n).
3*n*(n - 6)*(n - 2)*(3*n - 2)
Let j(f) be the third derivative of -f**9/3780 - f**8/420 - f**7/126 - f**6/90 + f**4/3 + 19*f**2. Let d(u) be the second derivative of j(u). Factor d(i).
-4*i*(i + 1)**2*(i + 2)
Factor -3*r - 3/2 - 3/2*r**2.
-3*(r + 1)**2/2
Suppose -5*o = -4*u + 43, u - 12 = 2*o + 4. Suppose -4/5*a**u + 64/5*a - 256/5 = 0. Calculate a.
8
Find m such that -22/5*m - 2/5*m**3 + 2 + 14/5*m**2 = 0.
1, 5
Let c be (70 - 78)*2*(-2)/36. Factor 4/3*g**3 - c + 4/9*g**4 + 4/9*g**2 - 4/3*g.
4*(g - 1)*(g + 1)**2*(g + 2)/9
Let g(w) = 2*w**2 + 21*w - 34. Let r be g(-12). Factor -12/5*o**r + 3/5*o**5 - 12/5*o**4 + 0 + 18/5*o**3 + 3/5*o.
3*o*(o - 1)**4/5
Let h(w) = 7*w**3 + 10*w**2 - 6. Let d(r) = -60*r**2 + 2*r**3 + 39*r**2 - 1 - 17*r**3 + 14. Let o(a) = 6*d(a) + 13*h(a). Factor o(l).
l**2*(l + 4)
Factor 16/5*z**3 - 77/5*z**2 - 48/5 + 22*z - 1/5*z**4.
-(z - 8)*(z - 6)*(z - 1)**2/5
Let d = 86 + -83. Let 6*u**3 + d*u - 2*u**4 - 2*u - 4*u**4 - 4*u**2 + 2*u**4 + u**5 = 0. Calculate u.
0, 1
Let z(c) be the first derivative of -c**4 + 20*c**3/3 - 6*c**2 - 36*c + 276. Let z(g) = 0. Calculate g.
-1, 3
Let w(k) be the first derivative of -k**4/5 + 68*k**3/15 - 132*k**2/5 + 288*k/5 - 509. Suppose w(l) = 0. Calculate l.
2, 3, 12
Let g = 2234/5 - 442. Let x = 14 - 10. Find j such that g*j**3 - 9/5*j**x + 0*j + 0 + 12/5*j**2 - 27/5*j**5 = 0.
-2/3, 0, 1
Let q(u) be the first derivative of 3*u**6/2 - 52*u**5/5 + 87*u**4/4 - 32*u**3/3 - 6*u**2 - 225. Suppose q(f) = 0. What is f?
-2/9, 0, 1, 2, 3
Let t be 6/15*(-160)/(-128). Let -t - 2*b**5 - 7/2*b**4 + 4*b**2 - 5/4*b + 13/4*b**3 = 0. What is b?
-2, -1, -1/4, 1/2, 1
Factor -1 - 17*b**2 - 173*b**3 + 8 + 10 + 174*b**3 - 5*b + 4*b.
(b - 17)*(b - 1)*(b + 1)
Let v be 972/(-1350)*10/(-8) - (-3)/5. Factor v + i**3 + 3/2*i**2 - 4*i.
(i - 1)*(i + 3)*(2*i - 1)/2
Factor -2178/13 - 132/13*t - 2/13*t**2.
-2*(t + 33)**2/13
Let j(r) = 3*r**3 + 45*r**2 + 37*r + 5. Let l(h) = -8*h**3 - 112*h**2 - 92*h - 12. Let s = -93 - -88. Let f(c) = s*l(c) - 12*j(c). Let f(a) = 0. What is a?
-4, -1, 0
Let u be (-15)/(-10) - (-147)/(-6). Let q be u/(-5) - (-15)/(-25). Find o, given that -q*o - 7 + 2*o**4 - o**2 + 7 - o**2 + 4*o**3 = 0.
-2, -1, 0, 1
Let i = -144 + 146. Let x(g) be the first derivative of 2/7*g - 2/21*g**3 - 3 + 0*g**i. Factor x(y).
-2*(y - 1)*(y + 1)/7
Factor -21/5*m + 3/5*m**3 + 6 - 12/5*m**2.
3*(m - 5)*(m - 1)*(m + 2)/5
Suppose 0 = 3*f - 2 - 13, 5*x - 2*f = 5. Factor -x - 20*o**3 + 53*o**2 + 4 - 9 - 11*o**2.
-2*(o - 2)*(2*o - 1)*(5*o + 2)
Let c be ((-170)/(-75) - 2)/(4 + (-108)/30). Factor -7/3*r**4 + 7/3*r**2 - 2/3*r + c*r**3 + 0.
-r*(r - 1)*(r + 1)*(7*r - 2)/3
Let u = 1/2844 - -3791/2844. What is j in -j**4 - 19/3*j**2 + 4/3 - 14/3*j**3 - u*j = 0?
-2, -1, 1/3
Factor -60 - 46*a - 345*a + 175*a - 21*a**2.
-3*(a + 10)*(7*a + 2)
Let p(z) be the third derivative of z**6/50 + z**5/5 - 35*z**4/8 + 25*z**3 + 760*z**2. Factor p(o).
3*(o + 10)*(2*o - 5)**2/5
Let u = 78662/15 - 15730/3. Factor -u*a**3 + 0*a**2 + 4/5*a + 2/5 - 2/5*a**4.
-2*(a - 1)*(a + 1)**3/5
Solve -2*q**2 + 7*q**2 - 2*q - 33*q + 0*q**2 = 0 for q.
0, 7
Let v(o) be the second derivative of -o**9/13608 + o**8/7560 + o**7/3780 - o**6/1620 + 7*o**3/6 + 14*o. Let a(p) be the second derivative of v(p). Factor a(n).
-2*n**2*(n - 1)**2*(n + 1)/9
Let o(m) be the first derivative of m**4/18 + 2*m**3/27 - 2*m**2/3 + 143. Factor o(a).
2*a*(a - 2)*(a + 3)/9
Let s(w) be the third derivative of w**6/270 + w**5/30 + 5*w**4/54 + w**3/9 + 79*w**2. Let s(c) = 0. Calculate c.
-3, -1, -1/2
Let j be 1/(((-26)/4)/(-13)). Let w(t) be the first derivative of 0*t + 1/6*t**4 + 2/3*t**j + 2/3*t**3 + 7. Determine y, given that w(y) = 0.
-2, -1, 0
Let u(r) be the first derivative of r**4/12 - 17*r**3/9 - r**2/6 + 17*r/3 + 77. Determine j, given that u(j) = 0.
-1, 1, 17
Let k(h) be the first derivative of h**6/1440 + h**5/160 + 8*h**3/3 - 10. Let n(x) be the third derivative of k(x). Find q such that n(q) = 0.
-3, 0
Let i = 24182 + -24182. Factor -2/23*h**3 + i + 4/23*h**2 - 2/23*h.
-2*h*(h - 1)**2/23
Let z be 12/(-10)*(-20)/6. Factor n**2 - n**4 + z*n - n + 2*n**3 - 3*n**3 - 2*n.
-n*(n - 1)*(n + 1)**2
Suppose 2*b + 4 = f + 9, 0 = 5*b - 4*f - 5. Find w, given that w**4 - 2*w + 82*w**5 + 6*w**3 - 46*w**b - 38*w**5 + w**2 = 0.
-1, 0, 1/2, 2
Let j(d) = -5*d**2 - 23*d + 3. Let b(c) = -15*c**2 - 70*c + 10. Let v = 36 - 33. Let p(r) = v*b(r) - 10*j(r). Let p(o) = 0. What is o?
-4, 0
Let c be 14/1225*40 + (-2)/(-5). Factor -45/7*x + c - 51/7*x**2.
-3*(x + 1)*(17*x - 2)/7
Find g, given that 36/7*g**2 + 34/7*g**3 + 0*g - 2/7*g**4 + 0 = 0.
-1, 0, 18
Factor -44/3*o - 4/3*o**4 - 4/3*o**3 + 16/3 + 12*o**2.
-4*(o - 1)**3*(o + 4)/3
Let q be (32/56)/(32/588). Suppose -5/2 - 2*g**2 + q*g = 0. Calculate g.
1/4, 5
Let t be (-6)/(-15) + (-28)/(-5). Suppose -19*l + 14*l + 30 = 2*q, 6 = 4*l - 2*q. Factor -1 - 8 + 1 - 2*n**2 - l*n + t.
-2*(n + 1)**2
Let z(i) be the first derivative of 32/45*i**5 + 7/27*i**6 - 32/27*i**3 - 1/6*i**4 + 9 - 4/9*i**2 + 0*i. Let z(p) = 0. Calculate p.
-2, -1, -2/7, 0, 1
Suppose -278 - 100*u**3 + 568 - 290 - 4*u**5 + 40*u**4 = 0. Calculate u.
0, 5
Factor 84*d + 30*d**3 - 18 - 14*d**3 - 20*d**3 + 4*d**2 - 162.
-4*(d - 3)**2*(d + 5)
Let j(p) = 5*p**3 - p**2 - 6*p. Let q(i) = 2*i**3 - 3*i + 2*i - i**3 + 0*i**3. Let d(k) = j(k) - 6*q(k). Suppose d(c) = 0. What is c?
-1, 0
Suppose 4*g - o = -57, 2*g - 5*o = -2*o - 31. Let r = g - -38. Factor 6 + 3*l**3 - r*l - 12*l**2 - 3*l**3 - 2*l**3 - 22.
-2*(l + 2)**3
Let m = 1 + 2. Let a(n) = 5*n**2 - 7*n - 1. Let y(o) = -4 + 24*o**2 - 21*o - 27*o + 14*o. Let z(x) = m*y(x) - 14*a(x). Find b, given that z(b) = 0.
1
Let u(g) be the first derivative of -1/5*g**3 + 0*g + 3/25*g**5 + 3/10*g**2 - 13 - 3/20*g**4. Suppose u(d) = 0. What is d?
-1, 0, 1
Factor 0 + 1/6*x**4 - 1/3*x**3 + 1/3*x - 1/6*x**2.
x*(x - 2)*(x - 1)*(x + 1)/6
Suppose 16111*h**2 + 0*h**3 - 16199*h**2 + 4*h**3 = 0. Calculate h.
0, 22
Let m = -7374 + 14749/2. Let -d + 7/2*d**2 - m*d**5 + 0 - 9/2*d**3 + 5/2*d**4 = 0. Calculate d.
0, 1, 2
Let d(j) = -394*j**2 - 1980*j - 2420. Let f(a) = -79*a**2 - 396*a - 484. Let o(p) = 2*d(p) - 11*f(p). Find m, given that o(m) = 0.
-22/9
Let d(c)