- 5*c**2/4 - 2*c - 66. Let k(w) = 0. Calculate w.
-5/2, -1
Let i(f) be the third derivative of f**7/210 + 11*f**6/40 + 24*f**5/5 + 32*f**4/3 + 2*f**2 + 2*f. Solve i(x) = 0.
-16, -1, 0
Let g(y) be the second derivative of 9/5*y**5 - 4*y**2 + 2/3*y**4 - 9*y - 6*y**3 + 0. Suppose g(q) = 0. What is q?
-1, -2/9, 1
Let y(k) be the second derivative of -k**4/6 + 14*k**3/3 - 17*k**2/2 + 4*k - 12. Let h(n) = n**2 - 9*n + 6. Let o(x) = 17*h(x) + 6*y(x). What is i in o(i) = 0?
-3, 0
Let z be (5 - 5)/(5 + (-3 - -1)). Let k(h) be the second derivative of 1/12*h**4 + z - 14*h + 2*h**2 + 2/3*h**3. Factor k(i).
(i + 2)**2
Let o(u) be the first derivative of u**6/600 - u**5/50 - u**4/8 - 13*u**3/3 + 21. Let g(a) be the third derivative of o(a). Solve g(f) = 0.
-1, 5
Suppose -8/9 + 10/9*k + 8/9*k**2 - 10/9*k**3 = 0. What is k?
-1, 4/5, 1
Let g(y) be the third derivative of y**6/60 - y**5/15 - y**4/4 - 165*y**2. Factor g(p).
2*p*(p - 3)*(p + 1)
Let y(k) = k**2 + 11*k - 8. Let x be y(-9). Let s be (-2)/((-74)/x + -3). Factor -3*u**2 + 2*u**5 + 7*u**2 + s*u**4 - 17*u**4 - 2*u.
2*u*(u - 1)**3*(u + 1)
Let c(l) be the third derivative of l**6/30 - 12*l**5/5 + 95*l**4/2 + 1444*l**3/3 + 11*l**2 - 4*l. Factor c(a).
4*(a - 19)**2*(a + 2)
Let z = 19429 - 19426. Find b, given that 0*b + 0 + 1/2*b**z - 1/2*b**2 = 0.
0, 1
Let c(d) be the first derivative of -81*d**6/2 - 54*d**5 - 21*d**4 - 8*d**3/3 - 131. Factor c(p).
-p**2*(3*p + 2)*(9*p + 2)**2
Let c(l) be the third derivative of l**8/672 - l**7/35 + l**6/12 + l**5/60 - 7*l**4/16 + 5*l**3/6 + 137*l**2. Factor c(z).
(z - 10)*(z - 1)**3*(z + 1)/2
Let l(j) = 4*j**3 + 13*j**2 + 15*j. Let y(r) be the first derivative of r**4 + 4*r**3 + 8*r**2 + 16. Let h(b) = -4*l(b) + 3*y(b). Solve h(d) = 0.
-3, -1, 0
Let n = 40399/20010 + 266/435. Let s = n + 20/23. Let -5/2*v**4 + s*v**2 + 3/2*v - 1 - 3/2*v**3 = 0. What is v?
-1, 2/5, 1
Find g, given that 0 + 1/9*g**3 + 2/3*g + 5/9*g**2 = 0.
-3, -2, 0
Let k(t) be the first derivative of -t**2/2 - t - 8. Let f be k(-3). Factor -4/5 - 2*x + 6/5*x**f.
2*(x - 2)*(3*x + 1)/5
Solve -9*c**4 + 1 + 27*c + 369*c**2 - 640*c**2 + 319*c**2 + 27*c**5 - 25 - 54*c**3 - 15*c**4 = 0 for c.
-1, 8/9, 1
Let o(v) be the first derivative of -v**8/5880 - v**7/2940 + v**6/1260 + v**5/420 + 4*v**3 + 16. Let u(t) be the third derivative of o(t). Factor u(m).
-2*m*(m - 1)*(m + 1)**2/7
Let i(s) be the third derivative of s**8/840 - 2*s**7/105 + s**6/12 + 351*s**2 + 1. Factor i(a).
2*a**3*(a - 5)**2/5
Let p(n) = -7*n**5 + 13*n**4 + 39*n**3 - 75*n**2 - 90*n. Let h(v) = -v**5 - v**4 + 2*v**3. Let f(j) = -2*h(j) + p(j). Suppose f(u) = 0. What is u?
-2, -1, 0, 3
Let v(i) be the first derivative of i**3/15 + 3*i**2 + 45*i - 21. Factor v(q).
(q + 15)**2/5
Let p be -11 - (-11 - -4) - -8. Let d(v) be the first derivative of 3*v**p + 6*v**3 + 6*v**2 - 1 + 3*v + 3/5*v**5. Factor d(q).
3*(q + 1)**4
Find x such that 59*x**4 - 27*x**2 - 93*x**2 + 320*x - 54*x**4 - 240 = 0.
-6, 2
Let q(v) = -2*v**3 + 19*v**2 + 7*v + 24. Let l be q(10). Let u(n) = 11*n + 69. Let h be u(l). Factor 3/2*m**h + 3/2*m**4 - 3/2*m**5 - 3/2*m**2 + 0*m + 0.
-3*m**2*(m - 1)**2*(m + 1)/2
Let v(w) be the first derivative of -18*w**5/95 + 5*w**4/19 + 50. Solve v(p) = 0.
0, 10/9
Let u(y) = 32*y**4 - 6*y**3 + 7*y**2 + 19*y - 13. Let h(w) = 15*w**4 - 3*w**3 + 3*w**2 + 9*w - 6. Let g(l) = -13*h(l) + 6*u(l). What is f in g(f) = 0?
-1, 0, 1
Solve 3261 - 249*i + 4968 - 404*i + 5*i**2 + 203*i + 1896 = 0.
45
Let k = 65 + -62. Suppose u - 2*m = -k*u + 2, -13 = -u - 2*m. Find p such that 0*p + 0*p**2 + 0 + 0*p**4 + 2/7*p**5 + 0*p**u = 0.
0
Let 7/3*t**3 - 1/3*t**4 - 1/3*t**5 + 1/3*t**2 - 2*t + 0 = 0. Calculate t.
-3, -1, 0, 1, 2
Let k = 18 + -11. Determine i so that -6*i + k*i + 8*i**2 - 9*i**2 + 0*i = 0.
0, 1
Let z = -4642 - -37139/8. Suppose -1/4*r**3 + 1/2*r - 1/8*r**2 + z = 0. What is r?
-1, 3/2
Determine w, given that -419*w**2 + 207*w**2 + 213*w**2 + 28*w + 196 = 0.
-14
Let g(c) = c**2 - c - 1. Let h(l) = 7*l**2 + 8*l - 77. Let t(u) = -2*g(u) + h(u). Factor t(o).
5*(o - 3)*(o + 5)
Let v(f) be the second derivative of -1/30*f**6 - 1/6*f**3 + 2*f + 0*f**2 + 1/12*f**4 + 0 + 1/20*f**5. Factor v(s).
-s*(s - 1)**2*(s + 1)
Let z = -8 + 10. Let n(a) = 11*a**2 + 3*a - 1. Let q be n(z). Let 61*f**2 + 4 + 2*f + 11*f**2 + q*f**2 + 42*f = 0. What is f?
-2/11
Let n = -176 - -181. Let i(o) be the second derivative of -4*o + 0*o**3 + 0 + 0*o**4 - 1/30*o**n + 0*o**2. Factor i(s).
-2*s**3/3
Suppose 8/19*y + 0 - 18/19*y**3 + 14/19*y**4 - 24/19*y**2 = 0. What is y?
-1, 0, 2/7, 2
Let n(z) be the second derivative of -z**4/24 - z**3/6 + 13*z. Factor n(m).
-m*(m + 2)/2
Let l(y) be the second derivative of 3*y**5/20 - 35*y**4/2 + 576*y**3 + 3888*y**2 - 14*y + 1. Find s, given that l(s) = 0.
-2, 36
Let n(u) be the third derivative of -u**6/120 + 13*u**5/60 + 29*u**4/24 + 5*u**3/2 + 4*u**2 + 10. Factor n(i).
-(i - 15)*(i + 1)**2
Let p(b) be the second derivative of -1/12*b**4 + 1/60*b**5 + 19*b + 1/3*b**2 - 1/18*b**3 + 1/90*b**6 + 0. Factor p(h).
(h - 1)**2*(h + 1)*(h + 2)/3
Let q(c) be the second derivative of c**4/12 - 13*c**3/6 + 6*c**2 - 133*c. Find b, given that q(b) = 0.
1, 12
Let -74049*g + 3*g**2 + 5*g**2 - 2*g**3 + 74059*g = 0. What is g?
-1, 0, 5
Let q(w) = 210*w**2 - w. Let k be q(1). Factor z**4 - 2*z**4 - 3*z**3 + 3*z**4 - 211*z**2 + k*z**2 + 3*z**5.
z**2*(z - 1)*(z + 1)*(3*z + 2)
Suppose -2*y - 5 + 133 = 2*v, 0 = -2*y + v + 143. What is j in y - 27*j**5 - 240*j - 210*j**4 + 344*j**2 + 27 - 1064*j**2 - 600*j**3 = 0?
-2, 2/9
Solve 96/7*j + 192/7 - 12/7*j**3 - 36/7*j**2 + 3/7*j**4 = 0 for j.
-2, 4
Let w(i) be the second derivative of 3*i**5/5 - 3*i**4/4 - 13*i - 5. Let w(n) = 0. Calculate n.
0, 3/4
Suppose 4*q - 94 = -2*y, -3*q + 7*y = 3*y - 76. Find a, given that -a**3 - 8 - 6*a**3 - 2*a**4 - q*a - 26*a**2 - 5*a**3 = 0.
-2, -1
Let a be (-3)/7 - (-24)/56. Solve a*j**2 - j**2 + 3*j**2 + 0*j**2 - 2 = 0.
-1, 1
Let m(v) be the first derivative of 3364*v**3/27 + 58*v**2/9 + v/9 + 105. Determine o, given that m(o) = 0.
-1/58
Let j be ((-90)/105)/(26/(-7) + 3). Let l(k) be the first derivative of j*k**2 - 7 - 12/5*k - 1/5*k**3. Factor l(d).
-3*(d - 2)**2/5
Let t be (-2)/5 + 46/40. Let c be (3 + (-215)/60)*1188/(-616). Let -t*p + 1/8*p**2 + c = 0. Calculate p.
3
Let k(d) = -2*d**2 + 4*d + 2. Let h(u) = 2*u**2 - 5*u - 2. Let q be -3*(4/(-12) + -1). Suppose -2*y - q = 6. Let f(g) = y*k(g) - 4*h(g). Factor f(b).
2*(b - 1)*(b + 1)
Let h be 0 - 4*(-1)/(-2). Let d(w) = 4*w**2 + 14*w + 8. Let g(i) = -8*i**2 - 29*i - 16. Let n(m) = h*g(m) - 5*d(m). What is k in n(k) = 0?
-2, -1
Let l(b) be the second derivative of -b**7/189 + 7*b**6/45 - b**5/5 - 20*b**4/27 - 690*b. Determine k, given that l(k) = 0.
-1, 0, 2, 20
Let x = -5819/3 - -1947. Factor 6*s - 4/3 + x*s**2.
2*(s + 1)*(11*s - 2)/3
Let l(y) be the second derivative of -3*y**5/40 - 97*y**4/8 + 197*y**3/4 - 297*y**2/4 - 421*y. Let l(p) = 0. Calculate p.
-99, 1
Let b(l) = -l**3 + 2*l + 3*l**3 + 152 - 3*l**2 - 3*l**3 - 144. Let z be b(-3). Factor y**z + 3/2*y**3 + 1/4*y + 1/4*y**5 + 0 + y**4.
y*(y + 1)**4/4
Let p(h) be the second derivative of 0 + 1/2*h**3 + 7*h - 1/4*h**4 + 0*h**2. Find s, given that p(s) = 0.
0, 1
Let c = 37 + -35. Factor w**c + 6*w**2 - 28*w**4 + 4*w**2 - 3*w**2 + 20*w**3.
-4*w**2*(w - 1)*(7*w + 2)
Let g(x) be the second derivative of 0 - 13/27*x**3 - 1/3*x**2 - 2/27*x**4 - 10*x. Suppose g(l) = 0. Calculate l.
-3, -1/4
Let z be (0 + -25)*(5796/342 + -17) - 1. Factor 0*f**2 + z*f - 4/19 - 2/19*f**3.
-2*(f - 1)**2*(f + 2)/19
Factor 299/8*h - 31/8*h**2 + 1/8*h**3 - 845/8.
(h - 13)**2*(h - 5)/8
Let k be 1 - 5 - (-1 + -13 + 8). Let u(w) be the first derivative of -3/4*w**4 + 0*w**3 + 0*w - 3 + 3/2*w**k. Factor u(i).
-3*i*(i - 1)*(i + 1)
Let z = 2713/4464 - 81/496. Factor 0*d**2 + 0 + 0*d + 2/9*d**5 - z*d**4 + 0*d**3.
2*d**4*(d - 2)/9
Suppose 15*o + 31 + 59 = 0. Let f be ((-156)/(-169))/(o/(-28)). Let -98/13*x**4 + 0*x - f*x**3 + 0 - 8/13*x**2 = 0. Calculate x.
-2/7, 0
Let o be (-1078)/(-210) + (1 - 6). Suppose 4/5*y**2 + 8/15*y**3 + 8/15*y + o*y**4 + 2/15 = 0. Calculate y.
-1
Let l(f) be the third derivative of 0 + 1/2520*f**8 - 1/225*f**7 + 0*f**4 + 0*f + 0*f**3 + 0*f**5 - 12*f**2 + 1/150*f**6. Let l(v) = 0. What is v?
0, 1, 6
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