r(n).
4*n*(n - 9)**2*(n + 7)
Factor 42*h + 9/4 + 196*h**2.
(28*h + 3)**2/4
Let 0 - 80/7*n**3 - 4*n**5 + 0*n + 92/7*n**4 + 16/7*n**2 = 0. Calculate n.
0, 2/7, 1, 2
Let o(x) be the third derivative of x**8/112 + 9*x**7/70 - x**6/40 - 9*x**5/20 + 117*x**2. Determine t, given that o(t) = 0.
-9, -1, 0, 1
Factor 1/7*b**2 + 36/7*b - 37/7.
(b - 1)*(b + 37)/7
Solve -4/3 + 20/3*o - 20/3*o**3 + 4/3*o**2 = 0 for o.
-1, 1/5, 1
Let i(b) = 12*b**4 - 12*b**3 + 19*b**2 - 11*b + 5. Let j(n) = 34*n**4 - 36*n**3 + 58*n**2 - 34*n + 14. Let u(f) = -14*i(f) + 5*j(f). Let u(p) = 0. What is p?
0, 2
Suppose -8*t = 16*t - 72. Let r(u) be the third derivative of 0*u - 1/20*u**5 - 13/40*u**6 + 33/8*u**4 - 9*u**2 + 0 + 3/70*u**7 + 9*u**t. Factor r(k).
3*(k - 3)**2*(k + 1)*(3*k + 2)
Let g(h) be the third derivative of h**8/25200 - h**7/1575 + h**6/300 + 9*h**5/20 + 27*h**2. Let n(a) be the third derivative of g(a). Factor n(k).
4*(k - 3)*(k - 1)/5
Let a(n) be the third derivative of n**8/10080 + n**7/945 - n**4/12 - 42*n**2. Let c(u) be the second derivative of a(u). Solve c(q) = 0.
-4, 0
Let q = 76 - -187. Let j = 266 - q. Factor 0*h**2 + 0*h + 0 - 1/4*h**j - 1/4*h**5 + 1/2*h**4.
-h**3*(h - 1)**2/4
Let j = 289 + -465/2. Let o = j + -55. Determine d, given that -3/2*d + 9/2*d**2 - 9/2*d**3 + 0 + o*d**4 = 0.
0, 1
Suppose 0 - 9/5*t**2 - 6/5*t - 3/5*t**3 = 0. What is t?
-2, -1, 0
Let v(l) be the first derivative of 0*l**2 + 1/9*l**3 + 0*l + 1/10*l**5 + 13 - 7/24*l**4. Factor v(s).
s**2*(s - 2)*(3*s - 1)/6
Find c, given that 0 - 2/7*c**4 + 0*c - 4*c**2 + 30/7*c**3 = 0.
0, 1, 14
Let p(r) = -1. Let z(g) = g - 1. Let l(t) = -2*t**2 + 7*t - 10. Let s(c) = -l(c) - z(c). Suppose i + 9 = -2*i. Let x(y) = i*p(y) - s(y). Factor x(o).
-2*(o - 2)**2
Suppose -8*m**2 + 3*m**4 + m**4 - 4*m**3 + 0*m**4 = 0. What is m?
-1, 0, 2
Factor -2822/3*p + 415/3*p**3 + 578/3 + 25/6*p**4 + 2183/2*p**2.
(p + 17)**2*(5*p - 2)**2/6
Suppose 5*f + c - 5 = 0, -f = 4*c + 12 + 6. Suppose -o + 3*j - 11 = o, 5*o + f*j = 20. What is q in 2*q**o + 5/2*q + 1/2 = 0?
-1, -1/4
Let f be ((-1028)/16)/(-8 - -6). Let z = -32 + f. Determine m, given that 0*m + z*m**2 - 1/2*m**4 + 3/8*m**3 + 0 = 0.
-1/4, 0, 1
Let i = 183 - 269. Let f = 260/3 + i. Solve -2/3*y**2 + f*y + 4/3 = 0.
-1, 2
Let n = 98755/3 + -32915. Find s such that 4*s - n - 2/3*s**2 = 0.
1, 5
Let t be (-2)/15 + 10/30. Let h(w) be the third derivative of 0 + 1/150*w**5 + t*w**3 + 1/15*w**4 + 0*w - 8*w**2. Find j, given that h(j) = 0.
-3, -1
Let y(v) be the third derivative of -v**6/90 - v**5/3 - 25*v**4/6 + 3*v**3 - 22*v**2. Let o(b) be the first derivative of y(b). Factor o(g).
-4*(g + 5)**2
Suppose -52*b - 29*b - 10*b = -182. Factor 4/7*t**3 + 4/7 + 12/7*t**b + 12/7*t.
4*(t + 1)**3/7
Let h(y) be the first derivative of 4/9*y**3 - 8 + 0*y**2 - 4/3*y. Factor h(v).
4*(v - 1)*(v + 1)/3
Let -840*q**2 + 335*q**3 - 5750 - 2*q**4 - 187*q**3 - 3700*q - 224*q**3 = 0. What is q?
-23, -5
Suppose 5*w - 5*y = 0, -2*w - 4*y + 10 = -w. Suppose -w = -0*x - x. Factor 2*a**x - 4*a + 15*a - 11*a.
2*a**2
Let t(c) be the third derivative of -c**7/945 - c**6/540 + c**5/270 + c**4/108 + 170*c**2. Suppose t(y) = 0. Calculate y.
-1, 0, 1
Let c be ((-3)/4 + 2)*16/80. Determine d, given that -5/4*d**2 + 0 - 3/4*d**3 - 1/2*d + c*d**5 + 1/4*d**4 = 0.
-1, 0, 2
Solve -72 - 35*r**2 + 195*r + 14*r**3 - 95*r**2 - 97*r + 112*r + 78*r = 0.
2/7, 3, 6
Suppose -4*u = 6*u - 50. Suppose v - 4 = 2*p - 0, -u*v + 7 = 3*p. Factor -1/6*z**3 + 1/2*z**v + 1/6 - 1/2*z.
-(z - 1)**3/6
Factor 66/5 - 3*a**2 - 159/5*a.
-3*(a + 11)*(5*a - 2)/5
Let a = 22 + -21. Suppose -1 = y - 4*y + t, -y + t + a = 0. Determine s so that 1/3*s - 2/3*s**2 + 1/3*s**3 + y = 0.
0, 1
Let s(x) be the second derivative of 4/165*x**6 + 0*x**2 + 1/33*x**4 - 7/110*x**5 + 0 - 34*x + 1/33*x**3. Let s(c) = 0. Calculate c.
-1/4, 0, 1
Let j(f) = -12*f + 135. Let x be j(12). Let v be x/3 - 48/(-16). Factor -8/3*r**3 + v*r + 0 + 8/9*r**2 - 14/9*r**4.
-2*r**2*(r + 2)*(7*r - 2)/9
Let z be (-2)/(-4)*0 - (-39)/65. Let q(k) be the second derivative of 0 - 3/2*k**2 - 2*k**3 + k - 3/2*k**4 - z*k**5 - 1/10*k**6. Find y, given that q(y) = 0.
-1
Let k = 29 - 24. Suppose k*h**3 - 3*h + h**3 + 6*h**3 + 12*h**2 + 7*h + 4*h**4 = 0. What is h?
-1, 0
Factor 256 + 320*r + 2*r**3 - 79*r**2 + 305*r**2 + 2*r**3 - 76*r**2 - 82*r**2.
4*(r + 1)*(r + 8)**2
Factor 26/11*s**2 + 0*s + 24/11*s**3 - 2/11*s**4 + 0.
-2*s**2*(s - 13)*(s + 1)/11
Let m be (1 - 1)/(-31 + (9 - -2) + 16). Factor -3/4*w**3 - 3*w**2 - 9/4*w + m.
-3*w*(w + 1)*(w + 3)/4
Find w, given that 0*w**3 - 12/7*w + 0 - 2/7*w**4 + 2*w**2 = 0.
-3, 0, 1, 2
Suppose 4*u - 4*a = 112, 147 = 5*u - a + 23. Let d = u - 16. Solve d*m**4 - 3*m**4 + m**3 + 3*m**5 - 6*m**5 + 0*m - 5*m**2 + 2*m = 0.
-1, 0, 2/3, 1
Let t = -35 + 57. Let x be t/8 + (-15)/20. Factor -2*l**x + l**2 + 1 + 18*l - 18*l.
-(l - 1)*(l + 1)
Let p(w) be the third derivative of w**5/210 + w**4/4 - 22*w**3/21 + 194*w**2. Factor p(s).
2*(s - 1)*(s + 22)/7
Let z(i) be the second derivative of 0*i**4 + 1/42*i**7 + 0 + 17*i - 1/10*i**5 + 0*i**3 + 0*i**2 - 1/30*i**6. Factor z(u).
u**3*(u - 2)*(u + 1)
Factor -16 - 1/5*z**4 + 23/5*z**3 - 123/5*z**2 + 181/5*z.
-(z - 16)*(z - 5)*(z - 1)**2/5
What is q in -20 + 778*q - 662*q - 67*q**2 - 21*q**4 - 54*q**2 - 134*q**3 = 0?
-5, -2, 2/7, 1/3
Let a(s) = s**3 - 14*s**2 - 12*s - 17. Let o be a(15). Let y be 60/21 - (-4)/o. Factor -2*t**2 - 4*t - 2*t**4 - t**4 + 4*t**y - t**4 + 6*t**2.
-4*t*(t - 1)**2*(t + 1)
Let j = 2 - -5. Suppose -q = -j*q - 0*q. What is i in q - 14/3*i**3 + 0*i + 4/3*i**2 = 0?
0, 2/7
Let i(w) be the first derivative of 4*w**6 + 15*w**5 + 81*w**4/4 + 11*w**3 + 3*w**2/2 + 24. Solve i(l) = 0 for l.
-1, -1/8, 0
Let k(g) = 0*g**3 + 24*g**2 - 4*g**3 + g - 24*g**2 - 3. Let j(h) = h**3 + h + 1. Let a(m) = -6*j(m) - 2*k(m). Factor a(s).
2*s*(s - 2)*(s + 2)
Let a(i) be the first derivative of -2*i**3/21 - 26*i**2/7 - 338*i/7 - 76. Factor a(o).
-2*(o + 13)**2/7
Factor -85*o**2 + 5*o**4 + 133*o**2 + 13*o**4 + 72*o**3 + 3*o**5 + 9*o**4.
3*o**2*(o + 1)*(o + 4)**2
Let t(h) be the third derivative of -h**8/42 + 122*h**7/525 - 2*h**6/75 - 4*h**5/25 - 27*h**2. What is r in t(r) = 0?
-2/5, 0, 1/2, 6
Let z be 23 + -21 + 39/(-52). Let -1/4 + 5/8*n + 5/8*n**5 - 1/4*n**4 + 1/2*n**2 - z*n**3 = 0. What is n?
-1, 2/5, 1
Let i = 36 - 106/3. Let p = 1006/375 + -2/125. Let -p - 10/3*m**2 - 16/3*m - i*m**3 = 0. What is m?
-2, -1
Let x be (-5 + 11)/(4/2). Factor 3*s**5 + 0*s**2 + 0*s**5 + 0*s**3 + 9*s**3 - 9*s**4 - x*s**2.
3*s**2*(s - 1)**3
Let k(q) be the second derivative of 5*q**6/6 + 13*q**5/4 + 5*q**4/4 - 65*q**3/6 - 20*q**2 - 2*q - 8. What is f in k(f) = 0?
-8/5, -1, 1
Let f(v) be the third derivative of -v**5/140 - 5*v**4/14 - 51*v**3/14 - 446*v**2. Solve f(c) = 0 for c.
-17, -3
Let l(b) be the third derivative of -b**7/560 - b**6/48 - 11*b**5/480 + b**4/32 - 3*b**2 - 28*b. Let l(m) = 0. Calculate m.
-6, -1, 0, 1/3
Let n(l) = -l**4 + l**3 + 2*l + 1. Let d(s) = -3*s**4 + 20*s**3 + 47*s**2 + 13*s - 8. Let v(p) = -3*d(p) - 3*n(p). Factor v(x).
3*(x - 7)*(x + 1)**2*(4*x - 1)
Let l = 3 + -4. Let n = l - -1. Factor n + 0*d + 1/4*d**3 + 1/4*d**4 - 1/2*d**2.
d**2*(d - 1)*(d + 2)/4
Let q(u) be the second derivative of -u**5/4 - 5*u**4/2 - 15*u**3/2 - 2*u + 102. Determine m so that q(m) = 0.
-3, 0
Suppose -16*g = -9*g. Let d = 95/12 - 29/4. Determine u, given that -d*u + 2/3*u**2 + g = 0.
0, 1
Suppose -306*g + 302*g - 4*y = -32, 0 = 2*y - 16. Let 3/4*z**5 + g + 9/4*z**4 - 3/2*z + 3/4*z**3 - 9/4*z**2 = 0. Calculate z.
-2, -1, 0, 1
Let l(r) be the third derivative of r**9/90720 + r**8/15120 + r**7/7560 + 3*r**5/20 - 10*r**2. Let x(w) be the third derivative of l(w). Factor x(i).
2*i*(i + 1)**2/3
Let k(j) = -3*j - 1. Let v be (-3)/(-6)*(7 + -9). Let f be k(v). Find p such that 2*p**3 - 5*p**4 + 7*p - p**5 - 8*p**f + 3*p**4 + 4*p**4 - 2 = 0.
-2, 1
Let g(i) be the first derivative of i**3/3 - 3*i**2/2 - 4*i - 50. Factor g(s).
(s - 4)*(s + 1)
Let l(c) = 2*c - 11. Let w be l(8). Suppose 0 = -w*s + z + 39, 7 + 15 = 2*s - 2*z. Let 3*a + s*a + 9 - 4*a - 5*a**2 + 2*a**2 = 0. What is a?
-1, 3
Suppose -2*o = o. Let p be (-4)/4 - 3/(-6)*6. Suppose o*s**2 - s**2 + 0*s**p = 0. Calculate s.
0
Let o = -17316 + 51958/3. Suppose 4*w + 1/3*w**3 + 24 - o*w**2