 + -388/5. Determine w so that -s*w + 1/5*w**2 + 1/5 = 0.
1
Suppose -3*m - 2*v - 38 = m, 4*m + v + 37 = 0. Let d be (-2)/m + 390/675. Find u such that -6/5*u**2 - d - 2*u = 0.
-1, -2/3
Let c(l) be the first derivative of -3*l**5/20 + l**4/4 + l**3/2 - 3*l**2/2 + 4*l + 3. Let f(r) be the first derivative of c(r). Solve f(j) = 0 for j.
-1, 1
Let j(d) be the second derivative of -5*d + 2/9*d**4 + 0 - 2/3*d**2 - 1/9*d**3 + 1/10*d**5. Determine h, given that j(h) = 0.
-1, 2/3
Let h be (-88)/(-55) - 2/(-5). Let g(b) be the first derivative of -1 - b + 5/6*b**3 + 3/4*b**h. Factor g(r).
(r + 1)*(5*r - 2)/2
Suppose b - 2*b = -4. Let x(k) be the first derivative of -3/4*k**b + 2 - 4/15*k**5 + 0*k - 1/6*k**2 - 2/3*k**3. What is i in x(i) = 0?
-1, -1/4, 0
Factor 0 + 7/4*u**3 - u + 3*u**2.
u*(u + 2)*(7*u - 2)/4
Let m(y) be the second derivative of 1/720*y**6 + 1/48*y**4 - 4*y + 0*y**2 + 0 - 1/120*y**5 + 1/2*y**3. Let w(c) be the second derivative of m(c). Factor w(n).
(n - 1)**2/2
Let i(r) be the second derivative of -r**6/90 - r**5/60 + r**4/36 + r**3/18 - 28*r. Solve i(n) = 0 for n.
-1, 0, 1
Let h(q) be the first derivative of q**4/10 - 14*q**3/15 + 11*q**2/5 - 2*q - 22. Factor h(n).
2*(n - 5)*(n - 1)**2/5
Find w such that 4/9*w**2 - 8/9 - 4/9*w = 0.
-1, 2
Let f(g) be the third derivative of 0*g**3 + g**2 - 3/80*g**5 + 0*g - 1/16*g**4 - 1/160*g**6 + 0. Factor f(c).
-3*c*(c + 1)*(c + 2)/4
Let y(k) = 4*k**2. Let z be y(-1). Factor -q**z + 5*q - 5*q - q**3.
-q**3*(q + 1)
Let i = -12 + 15. Let f be (i*-4)/3 - -4. What is y in f - 1/2*y**3 + 1/2*y + 0*y**2 = 0?
-1, 0, 1
Let c(i) be the second derivative of i**5/20 - i**4/24 - i**3/6 + i**2/4 - 4*i. Suppose c(y) = 0. What is y?
-1, 1/2, 1
Factor -2*y**2 - 7*y**3 - 15*y + 10*y**3 + 5*y**2 + 9.
3*(y - 1)**2*(y + 3)
Suppose 3*l + 19 = -11. Let c be ((-4)/(-10))/((-2)/l). Let 2/9*k**c + 4/9 + 2/3*k = 0. Calculate k.
-2, -1
Let r(z) be the third derivative of -z**6/450 + z**5/150 + z**3/6 - z**2. Let x(v) be the first derivative of r(v). Factor x(i).
-4*i*(i - 1)/5
Suppose 0 = -r + 5*m + 40, 3*r - 116 + 44 = 3*m. Let d be (72/r)/(-6) - -1. Determine u, given that -2/5*u**3 - 6/5*u - d - 6/5*u**2 = 0.
-1
Suppose -17*v = -15*v - 6. Suppose -v*j = j. Let 0 + 2/9*k**5 + 0*k + 0*k**2 + j*k**3 + 0*k**4 = 0. Calculate k.
0
Factor 42 + 12 + 24*v + 3*v**2 + v**2 - 18.
4*(v + 3)**2
Determine s so that -s**5 - s**4 + 2*s**3 - 7*s + 12*s**2 - 2*s + 0*s**4 - 3*s**4 = 0.
-3, 0, 1
Let t(l) be the third derivative of 0*l + 1/105*l**7 - 1/20*l**6 + 1/15*l**5 + 0*l**4 + 0 + 0*l**3 + 3*l**2. Solve t(v) = 0.
0, 1, 2
Suppose 4*b - 24 = 12. Determine d, given that -2*d - d - b*d**2 + 8*d**2 = 0.
-3, 0
Let t = -24241 + 120727/5. Let h = 96 + t. Factor 0 + h*w**3 - 2/5*w + 0*w**2.
2*w*(w - 1)*(w + 1)/5
Solve -6 - 20 + 27*h + 8 - 3*h**2 - 6 = 0 for h.
1, 8
Suppose -4*t + 2 = 2*p - 4*p, -2*t + 31 = 5*p. Let j(o) be the first derivative of -7/16*o**4 + 1/6*o**t - 1 - 1/2*o + 7/8*o**2. Factor j(u).
-(u - 1)*(u + 1)*(7*u - 2)/4
Let u(b) = -b**4 - b**2 - 1. Let p(t) = -2*t**4 - 21*t**3 + 49*t**2 - 60*t + 19. Let z(q) = p(q) - 5*u(q). Find l, given that z(l) = 0.
1, 2
Let j be 6/(-63) - 6/(-14). Let c be (-63)/(-45) - (-6)/10. Suppose 0*z - 1/3 + j*z**c = 0. Calculate z.
-1, 1
Suppose -5*j = -2 - 8. Let w(x) be the third derivative of -j*x**2 + 0*x**3 - 1/240*x**5 + 0 + 0*x + 0*x**4. Factor w(c).
-c**2/4
Suppose -4*p + 7*p - 9 = 0. Find c, given that 2*c**3 + 0*c**3 + 0*c**p - 2*c**4 + 4*c**4 = 0.
-1, 0
Let q be 2670/(-14) + 3 + -3. Let r = 191 + q. Solve 2/7*v**2 + r*v + 0 = 0 for v.
-1, 0
Let q(c) be the third derivative of 2*c**7/105 + c**6/30 - 15*c**2. Factor q(x).
4*x**3*(x + 1)
Suppose 0 = f + f - 2*k + 16, 0 = -2*f + 4*k - 24. Let d = f + 7. Factor 0*g**4 - 6*g**3 + 4*g**3 - 5*g**5 + 10*g**4 - d*g**4.
-g**3*(g - 1)*(5*g - 2)
Let i(c) = -2*c**2 - 14*c - 12. Let s be i(-6). Determine r so that s - 24/7*r**2 - 8/7*r + 2*r**3 = 0.
-2/7, 0, 2
Let k be 0 + (1 - -4)/1. Suppose k*l - 2 - 8 = 0. What is q in 2*q - 2*q**2 + q**l - 3*q = 0?
-1, 0
Let n(o) = -10*o**2 - 7*o. Let s(t) = -2*t**2 - 7*t**2 + 4*t**2 - 6*t - 4*t**2. Let f(x) = -6*n(x) + 7*s(x). Factor f(g).
-3*g**2
Let d(y) be the second derivative of -y**6/150 + y**4/30 - y**2/10 + 4*y. Let d(i) = 0. What is i?
-1, 1
Suppose -u + 2*u = -z + 10, 0 = -2*u + 3*z. Suppose -4*d = -d - u. Factor 0*f + 2/5 - 2/5*f**d.
-2*(f - 1)*(f + 1)/5
Let s(l) = -l**3 - 5*l**2 - 8*l - 4. Let p be s(-6). Let g = 242/3 - p. Suppose -2*t**4 + 6*t**5 + 0*t - g*t**2 - 10/3*t**3 + 0 = 0. Calculate t.
-1/3, 0, 1
Let o be (3/5)/(3/15). Determine q, given that o*q + 5 - 5 - 1 + q**3 + 0 - 3*q**2 = 0.
1
Let w be -3*1 + 1298/(-44). Let d = -191/6 - w. Factor 2/3*g**3 + d*g**5 + 0*g + 4/3*g**4 + 0*g**2 + 0.
2*g**3*(g + 1)**2/3
Let g(j) be the second derivative of j**9/432 - j**8/56 + 3*j**7/70 - j**6/45 - 2*j**3/3 - j. Let i(s) be the second derivative of g(s). Solve i(w) = 0.
0, 2/7, 2
Suppose 0 = -4*o - p - p + 14, o - 5*p + 2 = 0. Factor 6*h**2 - 12*h + 7 - 4 - h**o + 5.
-(h - 2)**3
Let g(a) be the first derivative of -3/14*a**4 - 1/7*a**2 - 8/21*a**3 + 0*a + 4. Suppose g(w) = 0. What is w?
-1, -1/3, 0
Suppose 2*y + 2 + 0 = 4*h, -2*y + 2 = 0. Let t be 4 + h/((-7)/26). Determine n so that 4/7*n**3 - 4/7*n**2 + 2/7*n**4 - t*n - 2/7*n**5 + 2/7 = 0.
-1, 1
Factor 2/7*x**3 + 2/7*x**2 - 2/7 - 2/7*x.
2*(x - 1)*(x + 1)**2/7
Suppose -4*g - 5*g + 18 = 0. Factor 1/4*h**3 + 0*h**g + 1/2 - 3/4*h.
(h - 1)**2*(h + 2)/4
Let d = -898/9 + 100. Factor 0*b + 0 + 0*b**2 + 0*b**3 + d*b**4.
2*b**4/9
Factor -9/4*y**4 - 9*y**2 + 15/2*y**3 + 9/2*y - 3/4.
-3*(y - 1)**3*(3*y - 1)/4
Let r(p) be the third derivative of -1/120*p**6 + 1/48*p**4 + 0*p + 1/672*p**8 - 1/420*p**7 + 1/60*p**5 - 1/12*p**3 + 2*p**2 + 0. Factor r(x).
(x - 1)**3*(x + 1)**2/2
Let r(h) be the second derivative of 7*h - 1/189*h**7 + 1/27*h**4 + 0 - 1/9*h**2 - 1/27*h**3 - 1/135*h**6 + 1/45*h**5. Factor r(w).
-2*(w - 1)**2*(w + 1)**3/9
Factor -605*b**4 + 541*b**3 + 180*b + 12*b**2 - 201*b**2 - 20 + 4*b**2 - 1531*b**3.
-5*(b + 1)**2*(11*b - 2)**2
Let m(d) be the third derivative of -5*d**2 - 1/15*d**5 + 0 + 1/9*d**4 - 1/315*d**7 + 0*d + 1/45*d**6 - 1/9*d**3. Factor m(k).
-2*(k - 1)**4/3
Let j = 11/35 + -1/21. Let k(v) be the first derivative of v**3 - 2 - 1/3*v + 1/6*v**2 + 11/12*v**4 + j*v**5. Find i, given that k(i) = 0.
-1, 1/4
Let v = 29/6 + -7/2. Let z be (0 - 8/6)/(-2). Determine p, given that -z*p**2 - 2/3 - v*p = 0.
-1
Suppose 5*c - 194 = -179. Factor -46/5*j**c + 54/5*j**2 - 26/5*j + 14/5*j**4 + 4/5.
2*(j - 1)**3*(7*j - 2)/5
Let g(t) be the first derivative of -t**6/105 - t**5/35 + 2*t**3/21 + t**2/7 + 4*t - 5. Let u(b) be the first derivative of g(b). Suppose u(s) = 0. What is s?
-1, 1
Let c = 26/21 + -4/7. Factor 0*p + c*p**2 - 2/3.
2*(p - 1)*(p + 1)/3
Let c be (2 - 0)/(18/45). Let t be 4/22 + (-20)/(-11). Solve 0*d + 0*d**t + 1/2*d**c - 1/4*d**4 - 1/4*d**3 + 0 = 0.
-1/2, 0, 1
Suppose -5*d + 3 = -2, -16 = -5*i - d. Let a(m) be the first derivative of -3/4*m**2 + i*m - 3 - 1/2*m**3. Suppose a(y) = 0. Calculate y.
-2, 1
Let h(k) be the third derivative of k**8/504 - 8*k**7/315 + 2*k**6/15 - 16*k**5/45 + 4*k**4/9 - 14*k**2. Let h(f) = 0. What is f?
0, 2
Solve 0 + 53/6*y**3 - 2*y**4 + 17/3*y**2 + 5/6*y = 0.
-1/3, -1/4, 0, 5
Let w(h) be the third derivative of h**5/48 - h**4/8 + h**3/6 - 6*h**2. Solve w(s) = 0.
2/5, 2
Let l(a) be the first derivative of 3*a**5/5 - 3*a**4/2 - a**3 + 3*a**2 + 10. Factor l(c).
3*c*(c - 2)*(c - 1)*(c + 1)
Let x(c) = 2*c - 2. Let r be x(2). Determine t so that -2*t**3 - 6*t**4 + 3*t**2 + 2*t - 4 - t**2 + 8*t**r = 0.
-1, 2/3, 1
Let a(s) be the first derivative of -s**6/135 + s**5/90 + s**4/54 - s**3/27 + 4*s - 1. Let o(b) be the first derivative of a(b). Determine f so that o(f) = 0.
-1, 0, 1
Let n be 170/35 - 1/(-7). Suppose 5*v - 3 - 2 = 0, 7 = n*r - 3*v. What is o in 0*o**2 + o + o - 2*o**2 + 4 + 0*o**r = 0?
-1, 2
Solve 73 - 38 - 3*q**3 - 41 + 9*q = 0.
-2, 1
Let k(z) be the first derivative of -z**6/3 - 4*z**5/5 - z**4/2 + 8. Suppose k(a) = 0. What is a?
-1, 0
Suppose -i - 21 = -5*o, 5*o - 25 = 7*i - 2*i. Find c such that 14/9*c**2 + 2*c**3 + 2/9*c**5 + 4/9*c + 10/9*c**o + 0 = 0.
-2, -1, 0
Let b = 12 - 8. Suppose -5 - b = -3*p. Find y, giv