- g - 12*o**5 = 0.
-1, 2/3, 1
What is s in 10*s - 51 - 1/4*s**2 = 0?
6, 34
What is m in -72/7*m - 2/7*m**2 - 256/7 = 0?
-32, -4
Let d = -29452046837/167508 - -14242025/81. Let q = d - 2/1551. Suppose -q*t**2 - t**3 - 5/4*t + 1/2 = 0. Calculate t.
-2, -1, 1/4
Let t(a) be the third derivative of 0*a**4 + 1/1344*a**8 + 0*a**3 - 1/80*a**6 + 3*a + 1/840*a**7 - 69*a**2 + 0 + 0*a**5. Factor t(k).
k**3*(k - 2)*(k + 3)/4
Let a(r) be the third derivative of 106*r**2 - 1/270*r**5 + 14/27*r**3 + 5/108*r**4 - r + 0. Let a(q) = 0. Calculate q.
-2, 7
Let i be (-7)/(-12)*450/1050. Let d(t) be the second derivative of -i*t**5 + 0 + 0*t**4 + 0*t**2 + 5/6*t**3 - 3*t. Let d(z) = 0. What is z?
-1, 0, 1
Solve -840 - 911 + 5*b**2 - 13*b**2 - 608*b - 713 + 10*b**2 = 0.
-4, 308
Factor 4708/3*m - 2770658/3 - 2/3*m**2.
-2*(m - 1177)**2/3
Let p(a) be the second derivative of a**5/30 - 13*a**4/18 + 14*a**3/3 - 3*a + 29. Factor p(v).
2*v*(v - 7)*(v - 6)/3
Let t(d) = 60*d**4 + 160*d**3 + 115*d**2 - 5*d. Let c(s) = -s**5 + 89*s**4 + 240*s**3 + 172*s**2 - 8*s. Let a(r) = -5*c(r) + 8*t(r). Find l such that a(l) = 0.
-3, -2, 0
Factor 0 + 1066/11*c**3 - 2/11*c**4 - 1064/11*c**2 + 0*c.
-2*c**2*(c - 532)*(c - 1)/11
Let n be (-121)/(-44) + (-1)/(-4). Suppose 1 + 1648*g**3 + 6*g**2 - n*g**2 - 1647*g**3 + 3*g = 0. Calculate g.
-1
Solve -44 + 1/5*y**2 - 51/5*y = 0.
-4, 55
Suppose 19 = 5*t + 3*i, -4*t - t = i - 23. Factor 5 + 11 + t - 3 - 2*s**2.
-2*(s - 3)*(s + 3)
Let t(u) be the second derivative of -u**4/12 + 20*u**3/3 - 38*u**2 - 961*u. Factor t(f).
-(f - 38)*(f - 2)
Let g(f) = 21292*f - 21288. Let b be g(1). Factor 0*c + 0 - 2/13*c**b + 16/13*c**3 + 40/13*c**2.
-2*c**2*(c - 10)*(c + 2)/13
Factor -328*o**2 - 411*o**2 + 3316*o**3 - 39513 - 104487 - 74400*o - 471*o**2 - 3321*o**3.
-5*(o + 2)*(o + 120)**2
Determine u so that -440*u**2 + 483*u**3 - 310*u**4 + 54*u + 312*u**3 + 35*u**5 - 204*u + 35*u + 35*u = 0.
-1/7, 0, 1, 4
Let v(t) be the second derivative of -t**7/14 + 41*t**6/60 + 109*t**5/40 + 71*t**4/24 + 3*t**3/4 - 2*t + 1173. Solve v(i) = 0.
-1, -1/6, 0, 9
Suppose 2 = -2*d + 6. Let z = -3703 + 3708. Let n(g) = 3*g**2 - 2*g - 27. Let c(o) = -6*o**2 + 5*o + 54. Let h(f) = d*c(f) + z*n(f). What is s in h(s) = 0?
-3, 3
Let x be 1*(250/60 + -4). Let i(b) be the third derivative of -1/60*b**5 + 0*b**4 + 5*b**2 + 0*b + x*b**3 + 0. Determine d so that i(d) = 0.
-1, 1
Suppose 103 = 7*y + 68. Suppose y*z - 5*f - 50 = 0, -3 - 7 = 2*f. Let 0*u**2 - 4/15*u**4 + 0*u - 2/15*u**z - 2/15*u**3 + 0 = 0. What is u?
-1, 0
Find u, given that 960*u - 72239 - 42594 - 41*u**2 - 115567 + 40*u**2 = 0.
480
Let g(m) = 4*m**2 + 4*m + 2. Let x be g(-1). Factor -25*u**x + u**3 + 0*u**3 + 17*u - 5*u + 35*u**2 - 72.
(u - 2)*(u + 6)**2
Let d(k) be the first derivative of k**3/12 + 6*k**2 + 47*k/4 - 828. Factor d(h).
(h + 1)*(h + 47)/4
Let u(t) = 15*t + t**2 - 6*t**2 + 2 - 12*t. Let l(q) = -16*q**2 + 10*q + 4. Let g(o) = -6*l(o) + 20*u(o). Factor g(d).
-4*(d - 2)*(d + 2)
Let i(t) be the second derivative of 55/4*t**4 - 39/20*t**5 + 14*t - 75/2*t**3 + 1/10*t**6 + 0 + 0*t**2. Factor i(b).
3*b*(b - 5)**2*(b - 3)
Solve -14*o**2 + 5*o**4 + 8 + 1531*o**3 - 1575*o**3 + 44*o + 1 = 0 for o.
-1, -1/5, 1, 9
Find d such that 221749 - 4*d**2 + 624*d - 4*d**3 - 221749 = 0.
-13, 0, 12
Find v such that -228/7 - 50/7*v - 2/7*v**2 = 0.
-19, -6
Let a be 1/6 + (-3)/(1350/111). Let w = a + 131/75. Solve 0*i + 3*i**5 - w*i**3 - 5*i**2 + 4/3 + 5*i**4 = 0 for i.
-1, 2/3
Let b(t) be the first derivative of -5 + 0*t + 0*t**4 + 0*t**3 + 1/480*t**5 - 7*t**2. Let a(y) be the second derivative of b(y). Suppose a(i) = 0. Calculate i.
0
Solve -1568/13*y**2 - 20 - 1052/13*y**3 - 268/13*y**4 - 2/13*y**5 - 1042/13*y = 0 for y.
-130, -1
Factor 0 + 0*i - 166/11*i**2 + 2/11*i**3.
2*i**2*(i - 83)/11
Suppose -13 - 48 = -4*l + 3*q, 0 = -3*q + 15. What is m in l*m + 17*m - 20*m**2 - 32 + 52*m = 0?
2/5, 4
Let y(d) be the second derivative of -25/12*d**4 - 3*d + 26 - 5/3*d**3 + 0*d**2. What is s in y(s) = 0?
-2/5, 0
Let f(i) be the first derivative of -i**3/6 - 6*i**2 - 23*i/2 + 1033. Determine r so that f(r) = 0.
-23, -1
Suppose 87 - 387 = -25*f. Find b such that -2*b**5 - 2*b + 6 + 26*b - 25*b**3 + 3*b**3 + 15 - 5 - f*b**4 - 4*b**2 = 0.
-2, -1, 1
Let g be ((-1)/(-22))/(1068/(-48) + 23). Let k(j) be the second derivative of -1/20*j**5 + 2/33*j**3 + 22*j - 1/110*j**6 - g*j**4 + 0 + 0*j**2. Factor k(t).
-t*(t + 2)**2*(3*t - 1)/11
Let h(z) be the first derivative of -131 + 0*z + 4/27*z**3 + 1/3*z**2. Factor h(f).
2*f*(2*f + 3)/9
Let f(c) be the first derivative of -4*c**3/3 + 268*c**2 + 968. Factor f(t).
-4*t*(t - 134)
Suppose 4*h - 3*j + 46 = 0, 41*h - 5*j - 40 = 46*h. Let c be 140/(-56)*6/h. Determine k, given that 13/2*k**3 - 2*k**4 - c*k**2 - 8*k + 2 = 0.
-1, 1/4, 2
Let g = 33 + -31. Let s(t) = 5*t**2 - 173*t - 67. Let c be s(35). Factor 9/7*w**g + 2/7*w + w**c + 0.
w*(w + 1)*(7*w + 2)/7
Let n(j) be the third derivative of -j**8/2688 + 33*j**7/560 - 5*j**6/2 - 125*j**5/24 - 532*j**2. Let n(f) = 0. What is f?
-1, 0, 50
Let n(v) be the first derivative of v**7/560 + v**6/12 + 17*v**5/20 + 4*v**4 + 23*v**3/3 - 95. Let x(z) be the third derivative of n(z). Factor x(a).
3*(a + 2)**2*(a + 16)/2
Let d(a) be the second derivative of 0*a**3 + 19/10*a**6 + 0*a**4 - 5/42*a**7 - 11/10*a**5 - 82*a + 0*a**2 + 0. Factor d(w).
-w**3*(w - 11)*(5*w - 2)
Let w(l) be the second derivative of -l**4/42 + 13*l**3/21 - 6*l**2 - 2*l - 2058. Solve w(h) = 0.
6, 7
Let t(h) = 10*h**2 + 40181*h + 40320619. Let o(n) = 15*n**2 + 60270*n + 60480930. Let u(p) = -7*o(p) + 10*t(p). Find b, given that u(b) = 0.
-2008
Let a = -408 + 410. Factor 15*c - 107*c**2 + 214*c**a + 40 + 9*c - 105*c**2.
2*(c + 2)*(c + 10)
Factor -2/5*t**2 - 2376/5 + 168/5*t.
-2*(t - 66)*(t - 18)/5
Let f be (-352)/680 + (-4)/(-10) + (-64)/(-51680)*65987. What is u in -36/5*u**4 + 273/5*u**3 - f*u**2 - 12/5*u**5 + 45*u - 42/5 = 0?
-7, 1/2, 1, 2
Suppose 17*o + 2876 = 2995. Let g(u) be the second derivative of -2/3*u**4 + 0*u**2 + 0 + 17*u + 0*u**5 - 1/21*u**o + 1/5*u**6 + 0*u**3. Solve g(a) = 0.
-1, 0, 2
Let o(a) be the third derivative of a**7/630 - a**6/60 - 167*a**5/180 + 95*a**4/6 + 650*a**3/9 - 1344*a**2. What is c in o(c) = 0?
-13, -1, 10
Let z(k) be the first derivative of -5*k**4/4 - 35*k**3/3 + 640*k**2 + 2660*k + 9715. Factor z(a).
-5*(a - 14)*(a + 2)*(a + 19)
Let c = -11587/2 - -57939/10. Let a(b) be the second derivative of 0 + 1/5*b**3 - c*b**2 - 1/20*b**4 + 10*b + 1/200*b**5. Factor a(k).
(k - 2)**3/10
Let k(g) = 858*g - 110678. Let h be k(129). Solve 0*p - 16/5*p**h + 2/5*p**5 - 36/5*p**2 + 42/5*p**3 + 0 = 0.
0, 2, 3
Let d(g) be the first derivative of -g**5/90 + 26*g**4/9 - 2704*g**3/9 + 109*g**2/2 + 126. Let t(x) be the second derivative of d(x). Solve t(m) = 0 for m.
52
Let b(l) = l**3 - 5*l**2 + 21*l - 66. Suppose 0 = 3*y - 12, 5 + 31 = 4*p + 5*y. Let g be b(p). Find a such that -2 + 1/2*a**g + 3/2*a = 0.
-4, 1
Let n = -340949/6 + 57025. Let d = n - 200. Factor -d*z + 0 - 11/6*z**3 + 5/6*z**4 + 7/6*z**2.
z*(z - 1)**2*(5*z - 1)/6
Let k(x) = 2*x**3 + 33*x**2 + 91*x - 20. Let j(p) = 6*p**3 + 100*p**2 + 274*p - 56. Let u(w) = -5*j(w) + 14*k(w). Find y such that u(y) = 0.
-16, -3, 0
Let b(k) be the first derivative of 1/36*k**6 + 1321/24*k**4 - 31/15*k**5 - 5230/9*k**3 + 4300/3*k**2 + 64 - 4000/3*k. Factor b(j).
(j - 20)**3*(j - 1)**2/6
Let b(l) be the first derivative of 1/15*l**3 + 3/10*l**2 + 0*l + 18. Solve b(d) = 0 for d.
-3, 0
Suppose -4*q + 58*t - 61*t = -26, 5*q = -3*t + 31. Let s(f) be the first derivative of -3/5*f**q - 11 - 3/2*f**2 + 3/4*f**4 + f**3 + 0*f. Factor s(m).
-3*m*(m - 1)**2*(m + 1)
Let p be 8 + -4*(3 + -2)*1. Suppose c - 2*z = z + 7, 3*c - p*z = 46. Determine f, given that 28*f**2 - 14*f - 26 - c*f + 10 - 12*f = 0.
-2/7, 2
Let c(r) be the first derivative of -13/4*r**4 + 0*r - 3*r**2 - 29/3*r**3 - 129. What is h in c(h) = 0?
-2, -3/13, 0
Let o(r) = 10*r**2 + 450*r + 435. Let x(j) = 15*j**2 + 674*j + 652. Let k(z) = 7*o(z) - 5*x(z). What is g in k(g) = 0?
-43, -1
Factor 991 - 487 + 0*a**2 + 84*a + 90*a**2 - 477 + 3*a**4 + 36*a**3.
3*(a + 1)**3*(a + 9)
Let a be (11 + (-1530)/20)/(((-693)/(-28))/(-9)). Solve a*o**3 + 32/11 - 50/11*o**5 - 64/11*o**2 - 104/11*o + 140/11*o**4 = 0 for o