3 - -117. Let p = 4 - 2. Find h such that -11*h + 8 + 3*h - 2*h**3 - p*h**l + h**2 + 10*h**3 - 7*h**2 = 0.
-1, 1, 2
Let v(y) be the first derivative of y**4/14 - 10*y**3/21 - 21. Factor v(c).
2*c**2*(c - 5)/7
Let t(x) = -2*x**2 + 5*x + 5. Let k(q) = 4*q**2 - 4*q**2 + q**2 + 0*q**2 - 3*q - 3. Let g = 5 - 0. Let a(l) = g*k(l) + 3*t(l). Factor a(z).
-z**2
Factor -8/17*v + 2/17*v**2 + 6/17.
2*(v - 3)*(v - 1)/17
Let d = -5 - -50. Let t = d - 179/4. Solve 3/4*q + 0*q**2 - t*q**3 + 1/2 = 0 for q.
-1, 2
Let k(t) = t + 2. Let b be k(-5). Let g = b - -3. Factor 0*i + g + 1/4*i**2 + 3/4*i**4 - 3/4*i**3 - 1/4*i**5.
-i**2*(i - 1)**3/4
Let i be 4 + (0 - (4 + -3)). Let c(w) be the second derivative of -1/90*w**5 + 1/54*w**4 - 1/9*w**2 + 0 - 2*w + 1/27*w**i. Solve c(u) = 0 for u.
-1, 1
Let f(j) be the third derivative of -j**6/1440 + j**5/480 - j**3/2 - 3*j**2. Let a(q) be the first derivative of f(q). Determine d so that a(d) = 0.
0, 1
Suppose 7*a = -2*a. Let k(u) be the first derivative of 1/12*u**4 - 1/18*u**6 + a*u + 0*u**2 - 3 - 1/9*u**3 + 1/15*u**5. Factor k(s).
-s**2*(s - 1)**2*(s + 1)/3
Let f = -19 - -35. Let t be (0 - -6)/(72/f). Factor -2/3 - t*z - 2/3*z**2.
-2*(z + 1)**2/3
Let w(r) be the first derivative of -r**7/168 - r**6/60 - r**5/80 - r + 2. Let k(j) be the first derivative of w(j). Factor k(b).
-b**3*(b + 1)**2/4
Let q(h) = h**2 + 22 - 48 + 24. Let z be q(2). Find s, given that -10/3*s**3 - 4/3 - 2/3*s + 16/3*s**z = 0.
-2/5, 1
Let s(i) = 20*i - 3. Let b(m) = 7*m - 1. Let v(h) = 8*b(h) - 3*s(h). Let a be v(-1). Factor w**2 - 6*w**4 + 0*w**3 + 2*w - 6*w + a*w**2 + 4*w**3.
-2*w*(w - 1)*(w + 1)*(3*w - 2)
Let y = -1046 + 219661/210. Let n(z) be the third derivative of 2*z**2 + y*z**5 + 0*z**4 + 0 + 0*z + 0*z**3. What is i in n(i) = 0?
0
Suppose -2*y = -7*v + 2*v - 15, y = -v - 3. Factor y*a + 2/3*a**2 + 1/3*a**3 + 0.
a**2*(a + 2)/3
Suppose -4*a = f - 5, 2*a - 1 = 3*f + 12. Let r be 45/36*1/5. Factor 0 - r*d**a + 1/4*d.
-d*(d - 1)/4
Let t(j) = 8*j**2 + 31*j + 9. Let s(h) = -h**2 + h. Suppose 5*l - 2 = 3. Let f(n) = l*t(n) - s(n). Factor f(i).
3*(i + 3)*(3*i + 1)
Let t(m) be the third derivative of -m**6/24 - m**5/2 - 15*m**4/8 - 10*m**3/3 - 22*m**2. Solve t(x) = 0.
-4, -1
Let t(k) be the third derivative of 4*k**3 + 0 + 7/40*k**6 + 0*k + 1/70*k**7 + k**2 + 9/10*k**5 + 5/2*k**4. Find o such that t(o) = 0.
-2, -1
Let p(g) = -g**4 - g - 1. Let c(a) = 3*a**4 + 13*a**3 + 9*a**2 - 3*a - 4. Let h(s) = 3*c(s) - 6*p(s). Factor h(r).
3*(r + 1)**3*(5*r - 2)
Factor -4*z + 3 - 1 - 12*z**2 + z + 13*z**2.
(z - 2)*(z - 1)
Let p(z) be the second derivative of 2/5*z**5 + 0 + 0*z**2 + 1/6*z**3 + z - 7/60*z**6 - 11/24*z**4. Solve p(u) = 0 for u.
0, 2/7, 1
Determine n so that 0*n + 0 - 1/3*n**3 + 1/3*n**4 + 0*n**2 = 0.
0, 1
Let c(d) = -d**2 + 6*d - 5. Let k be c(4). Suppose m = -n - k, m + 3 = 4*n - n. Factor -2*w**2 + w**3 + w + 0 + n.
w*(w - 1)**2
Let u(c) be the first derivative of 0*c**3 - 5 + 0*c - 1/4*c**2 + 1/8*c**4. Factor u(j).
j*(j - 1)*(j + 1)/2
Suppose 2*r + 46 - 130 = 0. Let c be 6/14 - (-465)/r. Solve -4 - c*n**3 + 2*n**4 - 10*n + 21*n**2 = 0.
-1/4, 2
Let z = 5 + -8. Let i be 10/6 - 1/z. Factor n**i - 27 + 27 + n.
n*(n + 1)
Let j(b) = 4*b**2 + 86*b + 79. Let u(q) = -q**2 - 29*q - 26. Let f(i) = -4*j(i) - 11*u(i). Factor f(h).
-5*(h + 2)*(h + 3)
Let m(w) be the third derivative of w**8/24 - 19*w**7/105 + w**6/60 + 23*w**5/30 - 2*w**4/3 - 4*w**3/3 - 3*w**2. Determine g so that m(g) = 0.
-1, -2/7, 1, 2
Let q(u) be the first derivative of u**5/30 + u**4/27 - u**3/9 - 2*u**2/9 - 3*u + 1. Let t(g) be the first derivative of q(g). Suppose t(y) = 0. Calculate y.
-1, -2/3, 1
Factor -3/7*l**3 + 6/7 - 15/7*l + 12/7*l**2.
-3*(l - 2)*(l - 1)**2/7
Suppose -7*k + 6 = -5*k. Let j be (-1 + (-16)/(-27))*-6. Factor -8/9*s**4 - 2*s**2 + 2/9 - 2/9*s - j*s**k.
-2*(s + 1)**3*(4*s - 1)/9
Suppose 0 = 508*t - 497*t - 22. Solve 2/9 + 4/9*x - 2/9*x**4 + 0*x**t - 4/9*x**3 = 0 for x.
-1, 1
Let y(p) be the second derivative of p**7/420 + p**6/45 + p**5/12 + p**4/6 - p**3/6 + 7*p. Let h(w) be the second derivative of y(w). Factor h(d).
2*(d + 1)**2*(d + 2)
Let c(z) = 7*z**3 + 39*z**2 + 96*z + 61. Let j(d) = d**3 + d**2 - 1. Let l(k) = c(k) - 3*j(k). What is a in l(a) = 0?
-4, -1
Let a be (-6)/4*88/(-594). What is l in 0*l - a*l**2 + 2/9 = 0?
-1, 1
Let t be (0 - 3) + -1*(-9 - 0). Suppose -9*q**3 + 0 + t*q**4 + 6*q**2 - 3/2*q**5 - 3/2*q = 0. Calculate q.
0, 1
Let l = -59 + 827/14. Let k(f) be the second derivative of 2*f - 3/20*f**5 + 0*f**3 + 0 + l*f**7 - 1/4*f**4 + 0*f**2 + 1/10*f**6. Find v, given that k(v) = 0.
-1, 0, 1
Suppose 2*f - m = -2, 30*m = 29*m + 2. Solve 2/11*n**4 + f*n**3 - 6/11*n**2 - 4/11*n + 0 = 0 for n.
-1, 0, 2
Let y = 504 + -2506/5. Factor 46/5*f**4 + y*f**5 + 26/5*f**2 + 54/5*f**3 + 4/5*f + 0.
2*f*(f + 1)**3*(7*f + 2)/5
Let x = 10 - 7. Determine z so that -2/3*z - 2/3*z**2 + 2/3 + 2/3*z**x = 0.
-1, 1
Let t(h) be the first derivative of 3*h**5/5 + 9*h**4/4 + 2*h**3 + 10. Suppose t(d) = 0. What is d?
-2, -1, 0
Factor -4*c**2 - 2*c**2 + 2*c**2 - 4*c + 2*c**2.
-2*c*(c + 2)
Suppose 23/2*u + 7/2*u**2 + 3 = 0. What is u?
-3, -2/7
Let l(s) = -s. Let k be l(-2). Factor -5*q + k*q - 4*q**2 + q + 2*q**3 - 4*q**3.
-2*q*(q + 1)**2
Let b(d) = -2*d**3 + 2. Suppose -1 = -3*o + 4*o. Let x = o + -21. Let k(c) = -7*c**3 - c**2 + c + 7. Let n(l) = x*b(l) + 6*k(l). Factor n(g).
2*(g - 1)**3
Let a(g) be the second derivative of -2*g**6/15 - 4*g**5/5 - 13*g. Determine d so that a(d) = 0.
-4, 0
Let h = 542 + -540. Factor 0 + 6/7*k**h - 2/7*k**3 - 4/7*k.
-2*k*(k - 2)*(k - 1)/7
Let h(a) = 247*a**3 + 70*a**2 + 7*a + 2. Let s(n) = -495*n**3 - 140*n**2 - 15*n - 5. Let u(z) = 5*h(z) + 2*s(z). Find d, given that u(d) = 0.
-1/7, 0
Let w = -1 + 8. Suppose -3*v**2 + w*v**5 + v**3 - 22*v**3 + 15*v + 6 - v**5 + 3*v**4 - 6*v**4 = 0. Calculate v.
-1, -1/2, 1, 2
Suppose h - 16 = -3*h. Let d = h - 2. Find n, given that d*n**2 + 0*n**3 + 3*n + 1 + n**3 + n**2 = 0.
-1
Let i(c) be the second derivative of 1/12*c**3 - 1/21*c**7 + 0 - 5/24*c**4 + 7*c - 1/40*c**5 + 1/4*c**2 + 2/15*c**6. Determine b, given that i(b) = 0.
-1/2, 1
Let b = -392 - -397. Let -2/7*t**b - 10/7*t**4 - 20/7*t**2 - 2/7 - 10/7*t - 20/7*t**3 = 0. Calculate t.
-1
Let y = -4294/9 - -478. Let -10/3*v**3 - 2/9*v + 14/9*v**2 + 0 - y*v**5 + 26/9*v**4 = 0. Calculate v.
0, 1/4, 1
Let k(j) be the third derivative of 1/168*j**8 + 0*j**4 - 3*j**2 + 0*j**3 + 1/30*j**5 + 0 - 1/105*j**7 - 1/60*j**6 + 0*j. Let k(y) = 0. What is y?
-1, 0, 1
Suppose x - 34 = -4*j + 10, 64 = 5*j - x. Solve j*f**2 + 10*f - 8*f + 6 + 3*f**3 + 13*f = 0 for f.
-2, -1
Let c(d) = -d - 1. Let q(r) = -3*r**2 + 4*r + 7. Let z(h) = 4*c(h) + q(h). Factor z(s).
-3*(s - 1)*(s + 1)
Let r(s) be the first derivative of s**7/630 - s**5/180 + s**2/2 - 2. Let v(k) be the second derivative of r(k). Find p such that v(p) = 0.
-1, 0, 1
Let m(u) = 9*u**3 + 11*u**2 - 20*u + 17. Let i(z) = 3*z**3 + 4*z**2 - 7*z + 6. Let j(y) = 17*i(y) - 6*m(y). Let j(t) = 0. What is t?
-1/3, 0, 1
Let h(k) be the second derivative of k**7/280 - k**6/60 + k**5/40 - 5*k**4/12 - 2*k. Let q(b) be the third derivative of h(b). Suppose q(i) = 0. What is i?
1/3, 1
Let v(s) = s**3 - 5*s**2 + 5*s + 4. Let x be v(3). Let i(r) be the first derivative of -1/4*r**3 - 1/4*r - x + 3/8*r**2 + 1/16*r**4. Solve i(p) = 0 for p.
1
Let x(k) = -k**3 - 4*k**2 + 3*k - 6. Let j be x(-5). What is h in -3*h**2 + 6*h**3 - 9*h**3 + 2*h**j + h**4 + 3*h**5 = 0?
-1, 0, 1
Let g(y) = y**3 - 5*y**2 + 7*y - 1. Let p be 6*((-6)/(-4) - 1). Let m be g(p). Factor -6/5*q + 0 - 3/5*q**m.
-3*q*(q + 2)/5
Let u(s) = -s**3 - s**2 - s - 1. Let c(w) = 28*w**4 + 88*w**3 + 20*w**2 - 116*w - 36. Let n(v) = c(v) - 4*u(v). Let n(b) = 0. What is b?
-2, -2/7, 1
Let s(a) be the first derivative of -2*a**3/27 + 2*a/9 - 6. Find u such that s(u) = 0.
-1, 1
Let -2*y + 3*y**2 - 2*y**3 - y**3 + 2*y = 0. Calculate y.
0, 1
Let g be -2*2/(-6)*3. Suppose 5*u = g*h + 10, 5*u = -3*h - h + 40. Suppose u + 0*q**2 + q**2 - 2*q - 3*q**2 = 0. What is q?
-2, 1
Let g(q) be the third derivative of -q**8/672 + q**6/80 - q**5/60 + 8*q**2. Factor g(y).
-y**2*(y - 1)**2*(y + 2)/2
Solve -7/3*v**4 + 0*v + v**5 - 4/3 + 11/3*v**2 - v**3 = 0.
-1, -2/3, 1, 2
Suppose -3*p + 2*h = 2, 7*h = 2*p + 2*h