)*-1. What is b in 15/4*b**3 + t - 9/4*b**2 - 3/2*b = 0?
-2/5, 0, 1
Let h(p) be the second derivative of -p**6/540 + p**5/90 - p**4/54 + 3*p**2 - 12*p. Let m(g) be the first derivative of h(g). Factor m(n).
-2*n*(n - 2)*(n - 1)/9
Let r be (9/(-18))/(3/48) - 1. Let k be (-50)/(-225) - 10/r. Let 4/3*l + 1/3*l**2 + k = 0. What is l?
-2
Solve 45*v**2 + 13 + 219*v + 30*v**2 - 6*v**3 + 41 + 36 = 0.
-2, -1/2, 15
Let z be 6*(-1 + 14/12). Suppose 6*m - 18 = -2*o + 3*m, -m = -o - z. Factor -3*h**o + h**2 - 32*h**4 + 0*h**3 - 2*h**5 + h + 27*h**4.
-h*(h + 1)**3*(2*h - 1)
Suppose -315*b + 254*b + 122 = 0. Solve 4/9*f**b - 14/9*f**4 - 20/9*f**3 - 2/9*f**5 + 22/9*f + 10/9 = 0.
-5, -1, 1
Suppose 2*t - 14 + 4 = 0. Let w be (-11)/(-4) + t/20. Factor -2*q**2 + 1 + q + q**2 + w - 2.
-(q - 2)*(q + 1)
Suppose -19 = -w + z, 0*w - w + 17 = z. Solve 2*r**3 - w*r**2 - 4*r**3 + 17*r**2 - r**4 = 0 for r.
-1, 0
Factor -12 + 2*m + 6 - 2*m**2 + 3*m**2 - 2.
(m - 2)*(m + 4)
Let s be (-19)/(-2) + 1/2. Let j = -8 + s. Solve -36*m - 4 - 2*m**2 + 5*m**j + 25*m = 0.
-1/3, 4
Let d = -5 + 7. Factor 3*w**d + 3*w - 6 + w - w.
3*(w - 1)*(w + 2)
Let c(n) be the third derivative of 1/735*n**7 - 12*n**2 + 0*n**3 - 2/21*n**4 + 0 + 1/210*n**6 + 0*n - 2/105*n**5. Suppose c(q) = 0. Calculate q.
-2, 0, 2
Let a(d) be the third derivative of -1/360*d**6 + 0*d + 1/720*d**5 + 0 - 1/2520*d**7 + 0*d**3 + 1/72*d**4 - 10*d**2. Find b, given that a(b) = 0.
-4, -1, 0, 1
Let g(v) be the first derivative of -5 + 0*v - v**3 - 9/2*v**2. Suppose g(q) = 0. What is q?
-3, 0
Let l be (4/(-112))/((-6)/240). Factor -8/7*w**3 + 0 + 2/7*w**4 - 4/7*w + l*w**2.
2*w*(w - 2)*(w - 1)**2/7
Suppose r + 20 = 5*r. Factor 2 - 60*q**3 - 2 - r*q**5 + q**4 + 40*q**2 + 29*q**4.
-5*q**2*(q - 2)**3
Solve -5/2 + 5/2*g**2 + 1/2*g**3 - 1/2*g = 0.
-5, -1, 1
Let h = -80368/15 - -5358. Let 4/3 - 2/5*v - h*v**2 = 0. Calculate v.
-5, 2
Let b(y) = -1216*y. Let s be b(0). Find d such that -1/3*d - 4/3*d**2 + s = 0.
-1/4, 0
Let v(k) = -k. Let p(y) = 2*y**3 + 4*y**2 + y - 4. Let b be p(-2). Let f(x) = -2*x**3 - 4*x**2 - 8*x. Let t(h) = b*v(h) + f(h). Determine d so that t(d) = 0.
-1, 0
Solve -1/2*d**3 + 7/2*d**2 - 1/2*d - 5/2*d**4 - 1 + d**5 = 0.
-1, -1/2, 1, 2
Let l be (4 + -4)*(1 + 20/(-30)). Let y(w) be the second derivative of -2*w - 1/78*w**4 + l*w**2 + 0*w**3 + 0 + 1/130*w**5. Factor y(g).
2*g**2*(g - 1)/13
Let c(l) be the second derivative of -2*l**2 - 2*l - 1/390*l**5 - 1/52*l**4 + 0 + 0*l**3. Let r(j) be the first derivative of c(j). Factor r(d).
-2*d*(d + 3)/13
Let k be (2/6)/(1136/80 + -14). Factor -1/6*n**2 - k*n - 25/6.
-(n + 5)**2/6
Let b(a) = 6*a**2 + 3. Let o(z) = 3*z**2 + 1. Let q(c) = -2*b(c) + 5*o(c). Let s be q(-1). Suppose 2*w**2 - 25*w - 2*w**s + 4*w**3 + 21*w = 0. Calculate w.
-1, 0, 1
Let x = 3414 - 3412. Suppose 2/13*t**x + 4/13*t + 2/13 = 0. Calculate t.
-1
Let m(r) = -r**2 + 20*r - 3. Let b be m(17). Let d(v) = v**2 - 8*v - 5. Let p be d(-7). Let 120*c + 32/5*c**3 - b*c**2 - p = 0. Calculate c.
5/2
Let s be ((-1190)/400)/(-17) - (-4)/(-30). Let v(j) be the second derivative of -s*j**4 + 0*j**2 + 1/6*j**3 + 0 - 1/40*j**5 + 3*j. Suppose v(z) = 0. What is z?
-2, 0, 1
Let w(q) be the first derivative of -q**5/150 - q**4/30 + q**3/5 - 14*q**2 - 22. Let t(o) be the second derivative of w(o). Factor t(h).
-2*(h - 1)*(h + 3)/5
Let n = 4 + -7. Let u be (-47)/(-3) + 2/n. Let -3*f**5 + 24*f**3 + 6*f**4 - 9*f - 12*f**2 - u*f**3 - 3*f = 0. What is f?
-1, 0, 2
Factor -2/17*i**2 + 0 + 2/17*i.
-2*i*(i - 1)/17
Let p = 7 + -3. Factor z + 8*z**3 - 18*z**3 + 0*z**5 + p*z + 5*z**5.
5*z*(z - 1)**2*(z + 1)**2
Let j(g) = 33*g**3 + 261*g**2 + 1763*g - 4629. Let z(i) = 14*i**3 + 130*i**2 + 882*i - 2314. Let c(u) = 2*j(u) - 5*z(u). Let c(y) = 0. Calculate y.
-17, 2
Suppose -2*k + 3 = -p, k - 5*p = -0*p - 21. Factor k*l + 31*l**2 - 29*l**2 + 6*l.
2*l*(l + 5)
Suppose 6*j + 4*t = -252 + 240, -4*j = 2*t + 6. Suppose -2*q - q + 9 = 0, 4*h = -2*q + 6. Factor h + j*i - 1/4*i**2.
-i**2/4
What is v in -36*v**3 + 8*v**4 - 56*v**3 + 102*v**3 - 3*v**4 - 75*v**2 = 0?
-5, 0, 3
Let j(l) be the second derivative of -l**5/10 - 8*l**4/27 - 5*l**3/27 + 2*l**2/9 + 696*l. What is r in j(r) = 0?
-1, 2/9
Factor -8/13*u - 12/13*u**2 - 8/13*u**3 - 2/13*u**4 - 2/13.
-2*(u + 1)**4/13
Suppose 2520*p = 2509*p. Let d(l) be the second derivative of 0*l**2 - 1/30*l**5 - 4/9*l**3 + p - 11*l - 2/9*l**4. Factor d(v).
-2*v*(v + 2)**2/3
Find m, given that 93*m - 21*m**3 + 10*m**2 - m**2 + 60 - 3*m**2 + 3*m**2 + 3*m**4 = 0.
-1, 4, 5
Suppose 15*s**3 + 20*s**4 + 792 - 792 - 11*s**5 + 6*s**5 + 40*s - 70*s**2 = 0. Calculate s.
-2, 0, 1, 4
Factor -135*g**2 - 22*g**3 + 476 - 40*g**3 - 488 - 13*g**3 + 21*g - 93*g.
-3*(g + 1)*(5*g + 2)**2
Let g = 7685/4 - 1921. Determine k so that 1/4*k**3 - g - 1/4*k + 1/4*k**2 = 0.
-1, 1
Let d(f) be the third derivative of f**6/480 + 57*f**5/80 + 2465*f**4/32 + 7225*f**3/24 - 221*f**2. Factor d(r).
(r + 1)*(r + 85)**2/4
Suppose 0 = -4*i - 2*x - 4, -4*x + 0 = 3*i + 8. Let a be 1/(-2) + (-11)/(-22). Let a + 2/5*s**3 + i*s**2 - 2/5*s = 0. What is s?
-1, 0, 1
Let r = 814 - 811. Let u(o) be the second derivative of 1/36*o**4 + 0 - 2/9*o**3 + r*o + 0*o**2. Factor u(j).
j*(j - 4)/3
Factor 0*u + 7/4*u**3 - u**2 + 0.
u**2*(7*u - 4)/4
Let p be (-66)/(-30) - 1/5. Let c = -373/15 + 25. Determine g, given that 0 + c*g - 2/15*g**p = 0.
0, 1
Let v(i) be the second derivative of -1/3*i**3 - 1/24*i**4 - 3/4*i**2 - 44*i + 0. Factor v(f).
-(f + 1)*(f + 3)/2
Let c be (27/(-18))/((-3)/10). Let u be -2 + c + -3 - -14. Solve 6*v + 23 - u - 9 + 27*v**2 = 0.
-2/9, 0
Suppose 154*x - 93 - 215 = 0. Find t, given that -1/3*t**3 + 5/3*t + 1 + 1/3*t**x = 0.
-1, 3
Let -2*p**3 + 12/7*p**2 + 4/7 + 30/7*p = 0. Calculate p.
-1, -1/7, 2
Let o(q) be the third derivative of 1/75*q**6 - 1/210*q**7 + 8*q**2 + 0 - 1/75*q**5 + 0*q + 1/1680*q**8 + 0*q**3 + 0*q**4. Suppose o(d) = 0. Calculate d.
0, 1, 2
Let k(m) be the second derivative of 1/40*m**5 - 1/12*m**4 - 8*m + 0*m**2 + 0 - 1/4*m**3. Factor k(t).
t*(t - 3)*(t + 1)/2
Let a = 624/415 + -3/830. Factor 27/8*k**3 - 21/8*k**2 - 15/2*k - a.
3*(k - 2)*(k + 1)*(9*k + 2)/8
Let d(h) = 4*h**2 - 16*h - 2. Let b(y) = -2 + 6 + 17*y - 5*y**2 - 1. Let l(f) = -2*b(f) - 3*d(f). Find r, given that l(r) = 0.
0, 7
Let y(t) be the second derivative of t**5/240 + t**4/48 - t**3/8 + 13*t**2/2 - 11*t. Let z(r) be the first derivative of y(r). Find l, given that z(l) = 0.
-3, 1
Let f = 57774/11 - 5252. Solve -f*h**3 + 6/11*h + 4/11*h**2 + 0 = 0 for h.
-1, 0, 3
Determine f, given that 3*f**4 + 75 + 180*f + 129*f**2 + 9*f**2 - 517*f**3 + 553*f**3 = 0.
-5, -1
Let l = 27743/6402 - 1/6402. Factor -5*s - 2/3 - l*s**2.
-(s + 1)*(13*s + 2)/3
Let q = -31 + 122. Find z, given that q*z**3 - 85*z**3 - 3*z**4 + 1 + 2 - 6*z = 0.
-1, 1
Let -63*j**2 + 34*j**2 + 32*j**2 = 0. Calculate j.
0
Let l = 1712 - 5135/3. Let -l*s**2 - 1 - 4/3*s = 0. What is s?
-3, -1
Let n be (-3 - (-33)/8) + (-957)/(-2552). Suppose -9/2*i + n*i**4 - 15/2*i**3 + 21/2*i**2 + 0 = 0. Calculate i.
0, 1, 3
Let n = 18125663/40 - 453105. Let l = n - 267/8. Factor -4/5*u**2 + 0*u + l.
-4*(u - 2)*(u + 2)/5
Let w(y) = 4*y + 23. Let c be w(-5). Factor -2*i**2 + 10*i - 26*i + 17*i + i**c.
i*(i - 1)**2
Let i = 64 - 66. Let y be (8/(-14)*3)/(4/i). Factor 2/7*c**2 + 4/7 + y*c.
2*(c + 1)*(c + 2)/7
Find k, given that 2*k**5 + 25062*k - 4*k**2 + 4*k**4 - 12532*k - 12532*k = 0.
-1, 0, 1
Let p(b) be the first derivative of -b**3/2 + b**2/2 + b/2 + 34. Suppose p(u) = 0. What is u?
-1/3, 1
Let n(v) be the third derivative of v**7/560 + v**6/24 + 17*v**5/80 + v**4/2 - 13*v**3/2 + 17*v**2. Let y(c) be the first derivative of n(c). Factor y(p).
3*(p + 1)**2*(p + 8)/2
Suppose 12*w - 352 = 656. Let a be (0 - 4/(-2)) + w/(-48). Determine c so that 0 + a*c + 1/4*c**3 - 1/2*c**2 = 0.
0, 1
Let l(u) be the third derivative of 5/8*u**4 - 15*u**2 + 0 + 1/40*u**6 + 0*u + 3/10*u**5 + 0*u**3. Factor l(i).
3*i*(i + 1)*(i + 5)
Let c(u) be the second derivative of -u**8/1680 + u**7/210 - 2*u**5/15 + 15*u**4/4 - 24*u. Let q(h) be the third derivative of c(h). Factor q(k).
-4*(k - 2)**2*(k + 1)
Let y(p) be the second derivative of -27*p**2 + 29*p + 1/10*p**5 + 0 - 3/2*p**4 + 9*p**3. Solve y(u) = 0 for u.
3
Let y(d) = -2*d + 4. Let z(l) = -1. 