e of i**4/42 - 122*i**3/21 + 3721*i**2/7 + 3*i - 25. Solve t(b) = 0 for b.
61
Let d(s) be the third derivative of -s**7/2205 - s**6/1260 + s**5/630 + s**4/252 - 38*s**2. Factor d(j).
-2*j*(j - 1)*(j + 1)**2/21
Let c = -642163/7 - -91435. Let o = -302 - c. Factor -o*t - 4/7*t**2 + 0.
-4*t*(t + 1)/7
Let 8*u**4 + 128 + 368*u**2 - 140*u**3 - 38*u - 14*u**5 - 330*u + 18*u**5 = 0. Calculate u.
-8, 1, 2
Let y = -44 + 48. Suppose c - y*p - 3 + 5 = 0, c + 2*p = 4. Factor -3/7*m + 0 - 1/7*m**c.
-m*(m + 3)/7
Let x(s) = 3*s**3 + 38*s**2 - 243*s + 490. Let y(z) = -4*z**3 - 38*z**2 + 244*z - 490. Let l(o) = 6*x(o) + 5*y(o). Let l(q) = 0. Calculate q.
5, 7
Factor -264*f + 2*f**5 - 3*f**5 - 5*f**2 + 16 + 6*f**4 - 11*f**2 - 5*f**3 + 276*f.
-(f - 4)*(f - 2)**2*(f + 1)**2
What is g in 9/2*g - 1/2*g**2 - 4 = 0?
1, 8
Let y be (-36)/20 - -5 - 2/10. Suppose -y*a + 3*o = -0*a - 18, 0 = 3*a - 4*o - 22. Suppose 0 - 7/4*u**a - 1/2*u = 0. What is u?
-2/7, 0
Let z(p) be the second derivative of -p**4/48 + 5*p**3/12 - 40*p. Factor z(b).
-b*(b - 10)/4
Suppose -16*n**3 + 1964*n**2 - 1969*n**2 + 76*n**3 = 0. What is n?
0, 1/12
Let m(r) be the second derivative of -r**6/30 - r**5/5 - 5*r**4/12 - r**3/3 + 81*r. Suppose m(b) = 0. What is b?
-2, -1, 0
Let m(t) be the third derivative of -16*t**2 - 5/8*t**4 + 0 + 3*t**3 + 1/20*t**5 + 0*t. Factor m(i).
3*(i - 3)*(i - 2)
Determine g, given that -4/9*g**5 - 15544/9*g**2 - 4900/9 - 292/9*g**4 - 14980/9*g - 5752/9*g**3 = 0.
-35, -1
Let n(r) be the third derivative of -1/30*r**5 - 2/3*r**3 + 0*r + 0 - 26*r**2 + 1/120*r**6 - 7/24*r**4. Factor n(g).
(g - 4)*(g + 1)**2
Let i = 2398 + -2396. Determine k so that 8/7*k**4 + 2/7*k**5 + 0 + 10/7*k**3 + 0*k + 4/7*k**i = 0.
-2, -1, 0
Let b(s) = -12*s**3 + 66*s**2 + 651*s - 720. Let h(j) = -3*j**3 + 16*j**2 + 163*j - 180. Let c(d) = -4*b(d) + 15*h(d). Let c(n) = 0. What is n?
-5, 1, 12
Let y(q) = -3*q + 2 + 4*q + 3 - 2*q. Let h be y(3). Determine a so that 4*a - 6*a - 4*a - 3 - 3*a**h = 0.
-1
Let w = -1 + 3. Factor -8*m - w + 29*m**2 + 17 - 28*m**2 + 1.
(m - 4)**2
Factor 0 + 1/6*y**3 + 15/2*y - 7/3*y**2.
y*(y - 9)*(y - 5)/6
Let u(x) be the third derivative of x**7/210 + x**6/24 + x**5/10 - x**4/6 - 4*x**3/3 + 816*x**2. Let u(t) = 0. Calculate t.
-2, 1
Suppose -14*p + 12 = -10*p. Suppose p*v + 4*y + 3 = 9, 2*y = -v + 2. Factor 9*z**v + 6/5 + 51/5*z.
3*(z + 1)*(15*z + 2)/5
Let x(i) = 2*i**2 - 17*i - 22. Let t be x(10). Suppose 30 = 18*a - t*a. What is v in -10/3*v**a + 2/3*v**4 + 0 + 6*v + 2*v**2 = 0?
-1, 0, 3
Find x, given that x**2 + 76*x - 158*x + 67*x = 0.
0, 15
Let w be 3 + -4 + -2 + 2. Let m be (w + -4)*(-20)/50. Factor -14*p + 6*p**2 + 3*p**m + 54 - 2*p**3 - 40*p + 9*p**2.
-2*(p - 3)**3
Let 16/5*i**4 + 16/5 + 2/5*i - 4/5*i**3 - 32/5*i**2 + 2/5*i**5 = 0. Calculate i.
-8, -1, 1
Suppose -4*h + 12 = -0*h. What is a in h*a**2 - 2*a**2 + 0*a**2 + 12*a - 5*a**2 = 0?
0, 3
Let f be 420/180*(-6)/(-44)*2. Let m(l) be the first derivative of -4/11*l - 10/33*l**3 - f*l**2 - 2. Find x, given that m(x) = 0.
-1, -2/5
Suppose 0 = 3*b - 5*b - 2*q + 52, 5*q + 110 = 5*b. Let p be (0/(-6) - 4)*(-3)/b. Find l, given that 7/2*l**3 + l**2 + 0 + 2*l**4 - p*l = 0.
-1, 0, 1/4
Determine r, given that 101*r**2 + 5*r**3 - 8*r - 110 + 4*r + 0*r + 9*r**2 - r = 0.
-22, -1, 1
Suppose -12/5*g**2 - 28/5*g**3 + 0 - 4*g**4 - 4/5*g**5 + 0*g = 0. Calculate g.
-3, -1, 0
Factor -34/3*f + 32 + 2/9*f**2.
2*(f - 48)*(f - 3)/9
Suppose -181 = 4*l + 27. Let c = -154/3 - l. Factor -7/3*q**2 + 3*q - c.
-(q - 1)*(7*q - 2)/3
Let w = -26 + -67. Let t = w + 97. Factor 0*k**2 + 1/2*k**t + 1/4*k**5 + 0*k + 1/4*k**3 + 0.
k**3*(k + 1)**2/4
Find k, given that 1/3*k**3 + 16/3*k + 0 + 17/3*k**2 = 0.
-16, -1, 0
Suppose t + 4 - 8 = 0. Let o(v) be the first derivative of -10/3*v**6 + 6 - 9*v**t + 4/3*v**3 + 4*v**2 + 0*v - 52/5*v**5. Factor o(w).
-4*w*(w + 1)**3*(5*w - 2)
Let u = 632 + -632. Suppose u - 2/3*k**5 + 0*k**4 + 0*k + 0*k**3 + 0*k**2 = 0. What is k?
0
Let m(j) be the second derivative of 1/20*j**5 + 0 - 11/12*j**4 + 1/10*j**6 + 2*j**3 - 3*j - 1/42*j**7 - 2*j**2. Find o such that m(o) = 0.
-2, 1, 2
Determine q so that 32/11*q + 2/11*q**2 + 128/11 = 0.
-8
Let m(q) = -q**2 - 9*q + 4. Let y(j) = j**3 + 2*j**2 - 2*j + 1. Let x be y(-3). Let o(n) = -n**2 + n. Let t(a) = x*m(a) - 6*o(a). Factor t(i).
4*(i + 2)*(2*i - 1)
Let c(z) = 3*z**2 - 61*z + 236. Let j(y) = -2*y**2 + 41*y - 157. Let b(r) = -5*c(r) - 7*j(r). Suppose b(f) = 0. What is f?
9
Let x(p) be the second derivative of 35/2*p**3 + 0 + 95/12*p**4 - 14*p + 5*p**2. Find b such that x(b) = 0.
-1, -2/19
Suppose 4*g - 9 - 7 = 0. Factor -s**2 + g*s**2 + 4*s**2 - 2*s**2.
5*s**2
Let d(a) be the third derivative of -3*a**8/28 - 2*a**7/5 - 61*a**6/120 - 7*a**5/30 - a**4/24 + 8*a**2. Factor d(k).
-k*(k + 1)**2*(6*k + 1)**2
Let j(k) be the third derivative of -k**9/15120 + k**8/1680 - 13*k**5/60 + 18*k**2. Let t(p) be the third derivative of j(p). Factor t(y).
-4*y**2*(y - 3)
Suppose 3*c = -2*i - 517, 7*c + 4*i + 509 = 4*c. Let w = -173 - c. Factor 0 + 1/2*k**3 - 3/4*k**4 + 0*k**w - 1/2*k**5 + 0*k.
-k**3*(k + 2)*(2*k - 1)/4
Let b(j) be the third derivative of -1/45*j**6 + 0*j**3 + 0*j - 16*j**2 - 1/60*j**5 + 1/36*j**4 - 1/210*j**7 + 0. Solve b(w) = 0 for w.
-2, -1, 0, 1/3
Let n be (2697/17980)/((4/(-30))/(-2)). Factor -n - 25/4*d**2 - 15/2*d.
-(5*d + 3)**2/4
Let b(g) be the second derivative of g**7/7 - 28*g**6/165 - 7*g**5/110 + g**4/33 - 2*g - 9. Suppose b(f) = 0. What is f?
-1/3, 0, 2/11, 1
Let b(o) = o**2. Let h(z) = -z**2 + 10*z + 25. Let a(r) = r + 7. Let c be a(-9). Let k(j) = c*h(j) - 4*b(j). Factor k(v).
-2*(v + 5)**2
Let a(g) be the first derivative of g**7/168 + g**6/36 + g**5/24 - 11*g**3/3 - 23. Let t(r) be the third derivative of a(r). Solve t(b) = 0 for b.
-1, 0
Let n(t) be the first derivative of -t**4/6 + 2*t**3/9 + 16*t**2/3 - 32*t/3 - 495. Factor n(s).
-2*(s - 4)*(s - 1)*(s + 4)/3
Let l(k) be the second derivative of 2*k**7/21 + k**6/6 + k**5/20 + 209*k. Determine o so that l(o) = 0.
-1, -1/4, 0
Let s be 108/270 - 2/10. Let l(f) be the first derivative of 2/3*f**3 + 0*f**4 + 0*f**2 - s*f**5 - f + 4. Solve l(x) = 0 for x.
-1, 1
Factor 2/3*s**2 + 0 + s**3 + 1/3*s**4 + 0*s.
s**2*(s + 1)*(s + 2)/3
Let i = 6364/1113 + -4/1113. Suppose 2/7*p**4 - 106/7*p**2 - 16*p - 34/7*p**3 + 2/7*p**5 - i = 0. Calculate p.
-2, -1, 5
Let n(k) = 11*k + 18. Let r be n(2). Determine j so that -248 - r - 240*j - 5*j**2 + 288*j + 3*j**2 = 0.
12
Let u(o) be the second derivative of -o**6/105 + o**5/70 + o**4/14 - 5*o**3/21 + 2*o**2/7 + 38*o. Solve u(g) = 0 for g.
-2, 1
Let c(g) be the first derivative of -8/9*g**2 - 40/9*g**3 - 98/45*g**5 - 7*g**4 + 0*g - 12. Determine j so that c(j) = 0.
-2, -2/7, 0
Let z(r) be the second derivative of -r**4/24 + 5*r**3/12 - 3*r**2/2 - 57*r - 1. What is v in z(v) = 0?
2, 3
Let q(x) be the second derivative of -x**6/70 + 183*x**5/70 - 30*x**4/7 - 61*x**3/7 + 363*x**2/14 + 148*x - 1. Determine c, given that q(c) = 0.
-1, 1, 121
Let i(b) = -b**3 - 20*b**2 - 94*b - 140. Let p be i(-14). Factor 1/2*a**2 + p + 2*a.
a*(a + 4)/2
Let p(t) = -6*t**2 - 56*t - 19. Let v(o) = -o + 1. Let a(m) = p(m) - 5*v(m). Factor a(n).
-3*(n + 8)*(2*n + 1)
Let h(z) be the first derivative of -1/24*z**4 + 0*z + 5/3*z**3 + 1/240*z**5 + 0*z**2 + 3 + 1/720*z**6. Let a(s) be the third derivative of h(s). Factor a(i).
(i - 1)*(i + 2)/2
Let s = -30 + 36. Let u(q) = -86*q**4 - 48*q**3 + 4*q**2 - 10. Let f(t) = 29*t**4 + 16*t**3 - t**2 + 3. Let y(p) = s*u(p) + 20*f(p). Let y(i) = 0. What is i?
-1/4, 0
Let f(d) be the third derivative of 0 + 0*d + 0*d**4 - 1/490*d**7 + 3/280*d**6 + 0*d**3 - 7*d**2 - 1/70*d**5. Let f(x) = 0. What is x?
0, 1, 2
Let c be (1 + 4)*(-2 - 13/(-5)). Factor p**2 - p**4 - 394 - p**5 + 394 + p**c.
-p**2*(p - 1)*(p + 1)**2
Suppose 4*i**2 + 7*i**2 - 3*i**2 + 71*i - 215*i - 5*i**2 = 0. Calculate i.
0, 48
Let i(x) be the third derivative of 2*x**7/315 + x**6/18 - 7*x**5/45 - 5*x**4/18 + 4*x**3/3 + 2*x**2 + 63*x. What is m in i(m) = 0?
-6, -1, 1
Let l be ((-10)/(-1125)*5)/(6/120). Let i = -4/71 + 178/639. Factor 10/9*x + l*x**2 + i*x**3 + 4/9.
2*(x + 1)**2*(x + 2)/9
Suppose -67*b - 36 = -73*b. Let i(q) be the third derivative of 1/42*q**4 + 1/735*q**7 + 0*q**3 + 1/105*q**6 + 0 - b*q**2 + 1/42*