*5 + 21*v**3 + 12/5*v = 0.
-2, -1, 2/9
Suppose -14*b + 5 = -15*b. Let l(n) = -n**3 - 4*n**2 + 4*n - 3. Let a be l(b). Factor 6/5*k**a - 8/5*k + 2/5.
2*(k - 1)*(3*k - 1)/5
Let y be (1538/190 - 7) + (-4)/(-38). Let r = y - 8/15. Factor r*o**4 + 1/3*o**5 + 1/3*o**3 + 0*o**2 + 0 + 0*o.
o**3*(o + 1)**2/3
Let i(y) = 8*y**2 - 427*y - 21223. Let o(l) = 5*l**2 - 215*l - 10612. Let u(f) = -3*i(f) + 5*o(f). Let u(t) = 0. What is t?
-103
Let j(z) be the third derivative of 15*z**2 + 0*z**3 - 1/20*z**5 + 0*z + 0 - 1/8*z**4. Factor j(g).
-3*g*(g + 1)
Let w(m) = -m**3 - 10*m**2 - 26*m + 3. Let o be w(-6). Determine a so that 54 + 73*a + 9*a**2 - 10*a + o*a**2 + 3*a**3 = 0.
-3, -2
Let k(d) be the second derivative of d**7/10 + 289*d**6/50 + 1719*d**5/50 + 67*d**4 + 148*d**3/5 + 4*d + 21. Suppose k(u) = 0. Calculate u.
-37, -2, -2/7, 0
Factor 11673 - 11573 - 54*h + 14*h + h**2 + 3*h**2.
4*(h - 5)**2
Let m be (-132)/5280 - (-4)/10. Let f = -625/4 + 157. Suppose 0 + m*q**2 - f*q = 0. What is q?
0, 2
Let y(l) be the first derivative of l**6/600 - 3*l**5/200 + l**4/20 - 10*l**3 + 6. Let i(h) be the third derivative of y(h). Factor i(d).
3*(d - 2)*(d - 1)/5
Let w be 8092/(-170) - -48 - 36/(-110). Let w*u + 2/11*u**2 + 6/11 = 0. Calculate u.
-3, -1
Let q(m) be the first derivative of m**4/20 + 23*m**3/15 - 12*m**2/5 - 52. Determine f, given that q(f) = 0.
-24, 0, 1
Let z(t) be the second derivative of t**4/6 + 3*t**3 - 22*t**2 + 69*t + 2. Let z(y) = 0. What is y?
-11, 2
Suppose 0 = -122*s - 143 + 71 + 72. Factor 2/7*i**3 - 12/7*i**2 + 64/7 + s*i.
2*(i - 4)**2*(i + 2)/7
Let m(b) be the second derivative of -1/18*b**4 + 0*b**3 + 11*b + 0*b**2 + 0 + 1/30*b**5. Factor m(w).
2*w**2*(w - 1)/3
Let c(d) be the second derivative of d**7/14 - 4*d**6/5 + 9*d**5/4 + 2*d**4 - 8*d**3 - 667*d + 2. Solve c(q) = 0 for q.
-1, 0, 1, 4
Let o(u) = -4*u**4 - 5*u**3 + 8*u**2 + u - 7. Let w(g) = 3*g**2 - 2*g**3 + 4 - g**4 - 5 - 5 + 4. Let z(y) = 2*o(y) - 7*w(y). What is k in z(k) = 0?
0, 1, 2
Let s(k) be the first derivative of 5*k**4 - 5*k**3/3 - 10*k**2 + 5*k + 25. What is d in s(d) = 0?
-1, 1/4, 1
Determine p, given that -6*p**2 + p**2 + 3*p**2 + 9*p - 4*p**2 - 3*p**3 = 0.
-3, 0, 1
Let -24*p**4 - 3*p**5 + 3*p**3 - p**2 + 12*p**5 - 11*p**2 + 18*p**2 + 6*p**5 = 0. What is p?
-2/5, 0, 1
Determine h so that -7 + 2*h**3 + 59/2*h**2 + 41/2*h = 0.
-14, -1, 1/4
Let u(m) be the second derivative of 147*m**6/5 + 42*m**5/5 - 166*m**4/3 - 32*m**3/3 + 64*m**2 - 6*m. Factor u(j).
2*(3*j + 2)**2*(7*j - 4)**2
Factor -18*t**3 + 2*t**5 - 26*t**4 - 24*t**4 + 44*t**4 - 9*t**2 - t**2.
2*t**2*(t - 5)*(t + 1)**2
Let b(c) be the second derivative of 3/4*c**4 + 0 + 3*c + 1/2*c**3 - 3*c**2. Factor b(l).
3*(l + 1)*(3*l - 2)
Let q(f) = 4*f**3 + 7*f**2 - 28*f + 29. Let k(u) = 3*u**3 + 6*u**2 - 28*u + 30. Let n(z) = 6*k(z) - 4*q(z). What is g in n(g) = 0?
-8, 2
Suppose 0 = 3*u + 3*d + 2*d - 2, -d + 18 = 5*u. Let o be -2 - (u + (-90)/14). Suppose -o*b + 0 + 3/7*b**2 = 0. Calculate b.
0, 1
Let r(q) be the second derivative of 0 - 1/36*q**4 - 5*q + 0*q**3 + 0*q**2 - 1/120*q**5. Let r(k) = 0. Calculate k.
-2, 0
Let y(w) be the third derivative of -w**7/210 - w**6/60 - w**5/60 + 4*w**2 + 8*w. Factor y(a).
-a**2*(a + 1)**2
Let z = 28474/15 + -1898. What is f in -2/15*f**3 + z*f**2 + 0 - 2/15*f = 0?
0, 1
Suppose -68*m = -69*m - 1. Let c be (2 - 165/175) + m/(-7). Solve 0 - 4/5*x**4 - 2/5*x**2 + c*x**3 + 0*x = 0.
0, 1/2, 1
Let y = -43 - -67. Let t be y/108 + 0 + 0. Factor -t - 4/9*u - 2/9*u**2.
-2*(u + 1)**2/9
Let y be (-1 + 16/6)*(-42)/(-35). Factor 3*z**2 + 25*z - 2*z**y - 30*z - 2*z**2.
-z*(z + 5)
Suppose -4*k + 2*k - 10 = -v, 2*v - 8 = k. Let l(j) be the first derivative of -3/20*j**4 + 1 - 6/5*j**3 - 27/10*j**v + 0*j. Factor l(d).
-3*d*(d + 3)**2/5
Let k = 53 + -4. Factor -2 + 2 - 28*q**2 + 3*q - k*q**3 - 7*q.
-q*(7*q + 2)**2
Let c(o) be the second derivative of o**6/255 - 9*o**5/170 + 9*o**4/34 - 31*o**3/51 + 12*o**2/17 + 140*o + 1. Let c(m) = 0. Calculate m.
1, 3, 4
Let h be (36/24)/(6/8). Let o(z) be the first derivative of 0*z + 9 + 1/2*z**3 + 3/2*z**h. Factor o(p).
3*p*(p + 2)/2
Suppose 11*q = 316 + 443. Let d be (-3 + q/21)/(4/28). Solve -1/2*m + 0 - 2*m**3 - 5/2*m**d = 0 for m.
-1, -1/4, 0
Suppose -21*v = -5*v - 14*v. Factor -4/7*m**3 + v*m + 2/7*m**2 + 2/7*m**4 + 0.
2*m**2*(m - 1)**2/7
Let u be (648/32)/(-27) - -1. Factor -u*z**3 + 0*z + 0 - 1/4*z**2.
-z**2*(z + 1)/4
Let m be 5/(5/(-4)) - -8. Determine g, given that -m*g**2 - 6*g + 13*g**2 + 0*g**4 - 3*g**4 = 0.
-2, 0, 1
Let x(c) = -c**3 + c**2 + c. Let b(n) = 3*n**3 - 5*n**2 + n - 4. Let g(l) = 2*b(l) + 10*x(l). Factor g(p).
-4*(p - 1)**2*(p + 2)
Let i be (0 + -8)*4*9/(-72). Determine h, given that i*h**2 - 16 - 10129*h + 10129*h = 0.
-2, 2
Let m(x) be the first derivative of 3*x**5/20 + 5*x - 43. Let a(h) be the first derivative of m(h). Let a(u) = 0. Calculate u.
0
Let q(v) be the second derivative of -v**5/140 - v**4/28 + 3*v**3/14 + 7*v**2/2 - 8*v. Let t(r) be the first derivative of q(r). Solve t(a) = 0 for a.
-3, 1
Suppose 0 = -39*b + 33 + 45. Suppose 0 = -2*u + 6*u - 12. Factor 0*m + 2/7*m**b + 0 - 2/7*m**u.
-2*m**2*(m - 1)/7
Let u(i) be the third derivative of 1/330*i**5 + 5/264*i**4 + 2*i**2 - 1/264*i**6 - 1/33*i**3 + 0 + 0*i. What is n in u(n) = 0?
-1, 2/5, 1
Let m = -83 - -167/2. Suppose 1/4 + 1/4*o**2 - m*o = 0. Calculate o.
1
Let o(v) be the first derivative of -2*v**5/35 + 3*v**4/14 + 8*v**3/21 - 6. Solve o(r) = 0.
-1, 0, 4
Let a(p) be the first derivative of p**7/210 + p**6/120 - p**5/60 - p**4/24 - 23*p**2/2 + 7. Let h(b) be the second derivative of a(b). Solve h(o) = 0 for o.
-1, 0, 1
Let t(s) be the first derivative of 0*s - 3/160*s**5 - 1/480*s**6 - 10/3*s**3 + 0*s**2 + 3 + 0*s**4. Let z(d) be the third derivative of t(d). Factor z(v).
-3*v*(v + 3)/4
Let q(a) be the third derivative of a**5/90 - a**4/9 + 72*a**2. Factor q(w).
2*w*(w - 4)/3
Suppose 5 = h + 4 - 2. Factor 1/9*z - 1/9*z**h - 2/9 + 2/9*z**2.
-(z - 2)*(z - 1)*(z + 1)/9
Let r be 1/2 + 24/16. Let a be (-36)/r*(-2)/4. What is z in -1 + 12*z**2 - 2 + a*z + 0 = 0?
-1, 1/4
Factor 6/5*y**4 + 12/5*y**3 - 24/5*y - 18/5*y**2 + 24/5.
6*(y - 1)**2*(y + 2)**2/5
Let o(v) = v**2 - 3*v + 2. Let y(r) = 12*r**2 - 822*r - 354. Let a(d) = -16*o(d) + y(d). Let a(q) = 0. Calculate q.
-193, -1/2
Let j = 4 - 2. Suppose y = -j*p + 16 - 5, -y + 5 = p. Suppose -4*f**2 - 3*f**4 - p*f + 7*f**2 + 2*f**2 + 4*f**2 = 0. What is f?
-2, 0, 1
Let t(i) be the second derivative of -i**4/84 + 8*i**3/21 + 57*i**2/14 + 33*i + 1. Let t(u) = 0. What is u?
-3, 19
Let r(d) = -88*d - 523. Let c be r(-6). Suppose -11/4*h**2 - 7/4*h**3 - 1/2 + 13/4*h**4 + 11/4*h - h**c = 0. What is h?
-1, 1/4, 1, 2
Let k = -103/2745 - -5/61. Let i(w) be the first derivative of 0*w**3 + 0*w**2 + 0*w**4 - k*w**5 + 1 + 0*w. Factor i(v).
-2*v**4/9
Let o be 2*3*((-21)/14)/(-3). Factor -2/3*y + 0 + 1/3*y**o - 1/3*y**2.
y*(y - 2)*(y + 1)/3
Let k(w) be the first derivative of 2*w - 22 - 2/21*w**3 - 6/7*w**2. Factor k(h).
-2*(h - 1)*(h + 7)/7
Let a(o) be the third derivative of o**8/13440 + o**7/1120 + o**6/240 + 2*o**5/15 - 20*o**2. Let c(b) be the third derivative of a(b). Factor c(z).
3*(z + 1)*(z + 2)/2
Let z(v) be the second derivative of v**5/35 + 37*v**4/42 + 7*v**3/3 - 34*v**2/7 + 5*v - 10. Factor z(u).
2*(u + 2)*(u + 17)*(2*u - 1)/7
Let 0*u + 1/6*u**3 + 1/2*u**2 + 0 = 0. Calculate u.
-3, 0
Let j = -31 + 31. Find n, given that -20*n**2 + 8*n + 19*n**3 - 3*n**3 - 39*n**4 + 35*n**4 + j*n**3 = 0.
0, 1, 2
Solve 32/15 + 4/3*q**3 + 2/15*q**4 + 22/5*q**2 + 16/3*q = 0.
-4, -1
Suppose -5*h + 25*d = 27*d - 6, -5*d = -4*h - 15. Let h - f - 1/2*f**2 = 0. Calculate f.
-2, 0
Find v such that 2/17*v**2 + 0 + 2/17*v**5 - 2/17*v**4 + 4/17*v - 6/17*v**3 = 0.
-1, 0, 1, 2
Let q(n) be the second derivative of n**7/12600 + n**6/3600 - n**4/6 - 7*n. Let z(m) be the third derivative of q(m). Factor z(c).
c*(c + 1)/5
Let d(b) = 2*b**2 - 11*b + 7. Let r(f) = -f**3 - 4*f**2 + 8*f + 20. Let k be r(-5). Let p be d(k). Factor 2/7*o**p + 0 - 2/7*o.
2*o*(o - 1)/7
Let m = -7825/14 - -559. Let i(b) be the second derivative of -1/70*b**5 - b + 1/21*b**3 + 0 + 0*b**4 - 1/210*b**6 + m*b**2. Factor i(o).
-(o - 1)*(o + 1)**3/7
Let n(q) = -144*q**3 + 280*q**2 - 152*q + 16. Let f(