+ 0 + 5/4*x**3 + 0*x = 0.
0, 2, 3
Let a = -14 + 22. Suppose -2*z - 2*v + a = 0, 5*z + v - 4 + 0 = 0. What is s in 4/9*s + 2/9*s**2 + z = 0?
-2, 0
Let g(t) be the first derivative of t**6/15 + 4*t**5/25 - t**4/5 - 16*t**3/15 - 7*t**2/5 - 4*t/5 + 73. Factor g(p).
2*(p - 2)*(p + 1)**4/5
Let d be 12/(-7)*140/(-40). Factor 24*n**2 + d*n + 3*n - 27*n**2.
-3*n*(n - 3)
Let c be 42/28*20/6. Solve -c*f + 10*f**3 - 5*f**4 + 5*f**2 - 10*f + 5*f = 0 for f.
-1, 0, 1, 2
Let i(z) be the third derivative of -9*z**8/560 + 3*z**7/350 + z**6/25 - z**5/25 - 10*z**2 + 1. Factor i(k).
-3*k**2*(k + 1)*(3*k - 2)**2/5
Find v, given that -2/15*v**3 + 0 + 4/15*v + 2/15*v**2 = 0.
-1, 0, 2
Let a(r) be the third derivative of 1/6*r**4 + 0*r - 14*r**2 - 1/2*r**3 - 1/60*r**5 + 0. Factor a(t).
-(t - 3)*(t - 1)
Let b be 0 - 19/((-456)/32). Factor -b*g**2 + 0 - 2/3*g**3 - 2/3*g.
-2*g*(g + 1)**2/3
Let f be (2 - 0)/(-12) + 19/6. Determine w, given that -2*w**2 + w - w**f - w**2 - 9*w**4 + 10*w**4 + 2 = 0.
-1, 1, 2
Let j = -3124/3 - -1042. Find y such that -2/3*y**3 + j*y - 1/3*y**4 + 0*y**2 + 1/3 = 0.
-1, 1
Let b(j) be the third derivative of j**7/14 + 41*j**6/10 + 127*j**5/20 - 4*j**4 - 49*j**2 - 4. Determine c so that b(c) = 0.
-32, -1, 0, 1/5
Determine a so that 2595/2*a**4 + 1575/2*a**5 + 1041/2*a**3 - 6 - 48*a - 63/2*a**2 = 0.
-1, -2/5, -1/3, -1/5, 2/7
Find n such that -86/11 - 2/11*n**3 - 82/11*n**2 + 170/11*n = 0.
-43, 1
Determine u, given that 24*u + 4*u**2 + 0 + 1/6*u**3 = 0.
-12, 0
Let k(q) = -q**5 + 7*q**4 + 11*q**3 + 3*q**2 + 5*q + 5. Let w(n) = -n**4 - 2*n**3 - n**2 - n - 1. Let c(j) = -k(j) - 5*w(j). Factor c(v).
v**2*(v - 2)*(v - 1)*(v + 1)
Suppose 4 = -w + 2*l, 3*w = 5*l + 12 - 21. Factor 0 + 2*s**w - 2/3*s - 2*s**3 + 2/3*s**4.
2*s*(s - 1)**3/3
Let y(j) = j**2 - 2136*j - 228982. Let c(k) = -3*k**2 - 2*k + 1. Let i(m) = -2*c(m) - y(m). Factor i(g).
5*(g + 214)**2
Let p = 2968/345 + -152/69. Find h, given that 16/5*h**3 + 34/5*h - 78/5*h**2 + p*h**4 - 4/5 = 0.
-2, 1/4, 1
Let i be (-98)/(-10) - (-3)/15. Solve i*a**3 + 4*a + 1 - 3*a**3 - a**3 - 11*a**2 = 0 for a.
-1/6, 1
Let k be 1000/(-15)*(-1)/((-5)/(-6)). Factor k*w**2 - 480 - 26*w**2 - 324*w + 1128 - 3*w**3.
-3*(w - 6)**3
Let i(z) be the first derivative of -z**5 + 20*z**4 + 85*z**3/3 + 123. Let i(b) = 0. What is b?
-1, 0, 17
Let z = 29118 - 145588/5. Factor -z*l - 4/5 + 2/5*l**2.
2*(l - 2)*(l + 1)/5
Let v(f) be the first derivative of 3/4*f + 1/2*f**2 - 1/4*f**3 - 32 - 1/4*f**4. Suppose v(h) = 0. Calculate h.
-1, -3/4, 1
Suppose -5*r - 2*z + 50 = 3*z, -2*z - 15 = -5*r. Suppose -5 = -5*c + r. What is v in -4*v**c - 42*v**3 + v**5 - 34*v**4 - 13*v**5 - 18*v**2 + 2*v**5 - 4*v = 0?
-1, -2/5, 0
Let p(a) = -a**2 - 7*a - 6. Let d = 2 + -7. Let n be p(d). Find g such that -6*g**2 + g**5 + 4*g**2 - g**3 + 3*g**2 - g**n = 0.
-1, 0, 1
Determine s, given that -6/5*s - 1/5*s**3 - 7/5*s**2 + 0 = 0.
-6, -1, 0
Let u be -4*((-1*4)/(-4) + 608/(-512)). Find v, given that -9/8*v**4 - 3/4*v + 21/8*v**2 - u*v**3 + 0 = 0.
-2, 0, 1/3, 1
Let f(m) be the first derivative of -m**5/20 + 9*m**4/4 - 80*m**3/3 - 18*m**2 + 324*m - 261. Solve f(y) = 0.
-2, 2, 18
Suppose 20*o - 3*o + 7*o - 8*o**3 - 28*o**2 + 12*o**3 = 0. What is o?
0, 1, 6
Let h(a) be the second derivative of 0 - 1/10*a**6 - 54*a**2 + 30*a**3 - 13/4*a**4 - 20*a - 3/2*a**5. Solve h(g) = 0.
-6, 1
Let u(c) be the third derivative of c**8/24192 - c**7/3024 + c**6/864 + c**5/15 + 2*c**2. Let i(r) be the third derivative of u(r). Factor i(f).
5*(f - 1)**2/6
Let m(r) be the first derivative of r**6/8 - 21*r**5/20 + 45*r**4/16 - 9*r**3/4 - 12. Factor m(i).
3*i**2*(i - 3)**2*(i - 1)/4
Let q(b) = -3*b**2 - 10*b - 13. Let l be 5/2 + (-1)/2. Let f(r) = -11 + 8 - 9 - 9*r - l*r**2 - r**2. Let n(j) = -5*f(j) + 6*q(j). Factor n(s).
-3*(s + 2)*(s + 3)
Let r(o) be the first derivative of 1/150*o**5 + 1/225*o**6 + 4 + 0*o**2 + 0*o**4 + 0*o**3 - 4*o. Let u(q) be the first derivative of r(q). Factor u(d).
2*d**3*(d + 1)/15
Let n(j) be the third derivative of -j**5/48 + 25*j**4/48 - 3*j**2. Factor n(r).
-5*r*(r - 10)/4
Let z(n) be the first derivative of -n**6/30 - 3*n**5/25 + 4*n**3/15 - 4. Factor z(m).
-m**2*(m - 1)*(m + 2)**2/5
Let h(m) be the first derivative of 35*m**4 + 55*m**3/3 + 5*m**2/2 - 105. Let h(j) = 0. Calculate j.
-1/4, -1/7, 0
Let w(n) = -3*n**2 + 1002*n - 81671. Let j(d) = 3*d**2 - 1005*d + 81670. Let k(c) = 4*j(c) + 5*w(c). Factor k(o).
-3*(o - 165)**2
Let t(q) be the third derivative of 0*q + 1/150*q**5 + 1/5*q**3 + 1/15*q**4 - 3*q**2 - 3. Factor t(r).
2*(r + 1)*(r + 3)/5
Factor 338/21 + 32/21*y**2 - 208/21*y.
2*(4*y - 13)**2/21
Let u(y) = y**3 + 2*y**2 - 5*y - 3. Let n be u(-3). Let p be (-1 + n/5)/(36/(-30)). Factor 0 - g**2 - p*g**4 - 1/3*g - g**3.
-g*(g + 1)**3/3
Let y(a) be the third derivative of -a**7/840 + a**6/160 + a**5/48 - a**4/32 - a**3/6 + 119*a**2 - 2*a. Factor y(i).
-(i - 4)*(i - 1)*(i + 1)**2/4
Let b(j) be the third derivative of -j**8/1344 + j**7/140 - 3*j**6/160 + 77*j**2. Determine m so that b(m) = 0.
0, 3
Let q(j) be the third derivative of -1/1680*j**8 + 0 - 1/350*j**7 - 2/15*j**3 + 0*j + j**2 + 0*j**4 + 1/600*j**6 + 7/300*j**5. Solve q(m) = 0.
-2, -1, 1
Determine a, given that 2/17*a**3 + 206/17*a**2 + 5200/17*a - 5408/17 = 0.
-52, 1
Let i(g) be the second derivative of -3*g**6/20 + 123*g**5/20 - 189*g**4/2 + 1215*g**3/2 - 2187*g**2/4 - 33*g. Factor i(k).
-3*(k - 9)**3*(3*k - 1)/2
Let o be 70/((-28)/(-4)) + (1 - 5). Let g(l) be the third derivative of -1/240*l**5 + o*l**2 + 0 - 1/48*l**4 + 0*l - 1/24*l**3. What is c in g(c) = 0?
-1
Let g(b) be the first derivative of -3 + 0*b + 1/20*b**2 - 1/30*b**3. Solve g(j) = 0.
0, 1
Let q(r) be the second derivative of 0*r**2 + 1/240*r**6 + 7*r - 3/160*r**5 - 1/48*r**3 + 0 + 1/32*r**4. Suppose q(d) = 0. What is d?
0, 1
Factor -157*p**3 + 16*p + 100*p**2 - 339*p**4 + 261*p**3 + 359*p**4.
4*p*(p + 1)*(p + 4)*(5*p + 1)
Find g, given that -130/11*g + 32/11*g**2 + 6/11*g**5 + 36/11 - 68/11*g**4 + 124/11*g**3 = 0.
-1, 1/3, 1, 2, 9
Let k(y) be the second derivative of -19*y + 0 - 1/10*y**6 - 3/20*y**5 + 3*y**2 + 5/2*y**3 + 3/4*y**4. Find s such that k(s) = 0.
-1, 2
Solve 0 + 16/3*p**3 + 2/3*p + 52/9*p**2 - 148/9*p**4 + 14/3*p**5 = 0 for p.
-1/3, -1/7, 0, 1, 3
Let l = -65 + 68. Let o be 2 + 1/(-2) - 0. Find z such that -l*z + o*z**2 - 9/2 = 0.
-1, 3
Let m(p) = -14*p**3 + 48*p**2 - 14*p - 36. Let a(w) = 5*w**3 - 17*w**2 + 5*w + 12. Let r(q) = -8*a(q) - 3*m(q). Factor r(k).
2*(k - 3)*(k - 2)*(k + 1)
Let v(s) be the first derivative of -5*s + 5/6*s**6 - 5/2*s**4 - s**5 + 5/2*s**2 + 10/3*s**3 + 40. Solve v(j) = 0 for j.
-1, 1
Let p(y) be the second derivative of -1/8*y**4 - 3/40*y**5 - 13*y + 0*y**3 + 0*y**2 - 1/80*y**6 + 0. Factor p(t).
-3*t**2*(t + 2)**2/8
Let x(z) be the second derivative of 0 + 1728/5*z**2 + 6/5*z**4 + 39*z + 1/50*z**5 + 144/5*z**3. Factor x(p).
2*(p + 12)**3/5
Let t be (-27 + 33)/(3/(-2)) + 36/8. Factor 0 + t*x + 1/2*x**2.
x*(x + 1)/2
Let d(w) = -189*w + 1514. Let b be d(8). Solve 2/9*z**5 + 4/3*z**4 + 22/9*z**3 + 4/9*z**b - 16/9 - 8/3*z = 0 for z.
-2, -1, 1
Let a(k) be the third derivative of 1/90*k**6 - k**2 + 0*k - 1/45*k**5 + 1/504*k**8 - 1/9*k**3 - 1/12*k**4 + 0 + 1/105*k**7. Factor a(h).
2*(h - 1)*(h + 1)**4/3
Let o(z) be the third derivative of -z**5/80 - 5*z**4/8 - 51*z**3/8 + 3*z**2 + 37*z. Factor o(i).
-3*(i + 3)*(i + 17)/4
Let h(b) = -12*b**3 - 90*b**2 + 219*b - 161. Let v(f) = 2*f**3 + 18*f**2 - 44*f + 32. Let j(w) = 2*h(w) + 11*v(w). Let j(y) = 0. Calculate y.
1, 3, 5
Suppose -4*t + 8 = 0, -2*t - 11 - 3 = -9*i. Let 0 + 8/3*p**2 + i*p + 2/3*p**3 = 0. Calculate p.
-3, -1, 0
Let a = -285 + 285. Let i(j) be the third derivative of j**2 - 1/15*j**5 + a*j - 1/30*j**6 + 1/3*j**4 + 0 + 0*j**3. Factor i(s).
-4*s*(s - 1)*(s + 2)
Let g(r) be the third derivative of 9*r**2 + 1/450*r**5 + 1/90*r**4 + 0 + 0*r**3 + 0*r - 1/450*r**6 - 1/1575*r**7. Find t, given that g(t) = 0.
-2, -1, 0, 1
Let t(h) = h**3 - 6*h**2 + h - 5. Let w be t(6). Let a = -2 + 7. Factor g**4 - 2*g**4 + 4*g + 2*g**2 - 3*g - w + 0*g - 2*g**3 + g**a.
(g - 1)**3*(g + 1)**2
Let s = -10712 + 2056709/192. Let n(m) be the third derivative of s*m**4 + 1/480*m**5 + 0 + 0*m + 1/12*m**3 - 14*m**2. Factor n(c).
(c + 1)*(c + 4)/8
Let b(q) be the first