t b(p) = 0.
-1, -1/16, 0, 1
Let q be (-100)/4 + (-15)/(-60)*100. Solve q + 4/3*b**2 + 152/3*b = 0 for b.
-38, 0
Let u(i) be the second derivative of 4/45*i**6 - 2/3*i**4 + 1 + 11/9*i**3 - 9*i - 1/30*i**5 - 2/3*i**2. Suppose u(c) = 0. What is c?
-2, 1/4, 1
Factor 2/3*a**3 - 724 - 1798/3*a - 352/3*a**2.
2*(a - 181)*(a + 2)*(a + 3)/3
Let a = 74568 - 149135/2. Factor 15/2*i + a*i**2 + 7.
(i + 1)*(i + 14)/2
Let s be -3 + (-26)/(-2) + (3872/99)/(-4). Factor 0 + 0*l + 2/9*l**3 + 2/9*l**2 - 2/9*l**5 - s*l**4.
-2*l**2*(l - 1)*(l + 1)**2/9
Suppose -262*r**3 - 33 - 90*r**2 - 4*r + 76*r**4 + 246*r**2 + 58*r**3 + 9 = 0. Calculate r.
-6/19, 1
Solve -2172*v - 20*v**2 + 46*v**2 + 6*v**3 - 26 + 2166*v = 0 for v.
-13/3, -1, 1
Determine i, given that -219/7*i + 111/7*i**2 + 109/7 - 1/7*i**3 = 0.
1, 109
Factor 318*r + 162*r**3 - 40*r + 5*r**3 - 52*r**3 - 455*r**2 + 15 + 47*r.
5*(r - 3)*(r - 1)*(23*r + 1)
Let i(d) be the third derivative of -d**7/28980 + d**5/1380 + 73*d**4/24 - 17*d**2 + 2. Let y(o) be the second derivative of i(o). Factor y(s).
-2*(s - 1)*(s + 1)/23
Let a(q) be the third derivative of 0*q + 12*q**3 + 11/6*q**4 + 0 + 1/15*q**5 - 88*q**2. Factor a(y).
4*(y + 2)*(y + 9)
Let b be (338 + -337)*0*1/2. Factor b*m - 1/2*m**2 + 8.
-(m - 4)*(m + 4)/2
Let n = 220019/22915 - 7/4583. Let -298/5*p**4 + 116/5*p**3 + 0*p + 0 + n*p**2 + 24/5*p**5 = 0. What is p?
-1/4, 0, 2/3, 12
Let m(v) be the third derivative of v**8/2856 + v**7/255 + v**6/170 - 9*v**5/85 - 45*v**4/68 - 27*v**3/17 + 750*v**2. Determine f, given that m(f) = 0.
-3, -1, 3
Let b(w) = 9*w**3 - 3*w**2 - 2*w. Let t be b(-1). Let c be (t/(-6))/((-366)/36 + 11). Determine a, given that 2/5 - 2/5*a**c - 1/5*a + 1/5*a**3 = 0.
-1, 1, 2
Let v = -62 - -184. Let t = v + -243/2. Factor -1/4*q**4 + 1/4*q**2 + t*q**3 + 0 - 1/2*q.
-q*(q - 2)*(q - 1)*(q + 1)/4
Let z(a) = -5*a**3 - 15*a**2 + 37*a + 72. Let i be z(-4). Factor 1/4*f**i - f**3 + 1/4*f**2 + 0 + 3/2*f.
f*(f - 3)*(f - 2)*(f + 1)/4
Factor -267/4*h**2 - 1/2 - 535/4*h.
-(h + 2)*(267*h + 1)/4
Let d(s) = 8*s**5 + 32*s**4 - 94*s**3 - 28*s**2 - 2. Let f(z) = z**4 + 3*z**3 + 2*z**2 + 1. Let r(v) = d(v) + 2*f(v). Suppose r(q) = 0. Calculate q.
-6, -1/4, 0, 2
Suppose -12376*a + 12339*a = -703. Let o(d) be the first derivative of 0*d - 1/10*d**4 - 8/5*d**2 - 4/5*d**3 - a. Factor o(u).
-2*u*(u + 2)*(u + 4)/5
Let m = -44379/2 + 22206. Let -m*t - 2*t**2 - 4 = 0. Calculate t.
-8, -1/4
Let c be ((-18)/3 + 4)/((-3)/6). Let n(p) = 5*p**2 - 7*p - 20. Let b(o) = -6*o**2 + 8*o + 18. Let i(v) = c*b(v) + 5*n(v). Factor i(g).
(g - 7)*(g + 4)
Suppose 5*g = 2*a + 115, -3*g + a - 8 + 78 = 0. Let m be g/30 + (-12)/144. Let -3/4*k**5 + 3/4*k**3 + 0*k - m*k**4 + 0 + 3/4*k**2 = 0. What is k?
-1, 0, 1
Let n be 12/(-45) + (-10132)/(-4470). Suppose -1/10*t**4 - 6/5*t**n - t - 3/10 - 3/5*t**3 = 0. Calculate t.
-3, -1
Let p(y) be the second derivative of y + 12*y**2 + 1/8*y**6 - 5/3*y**3 - 1/6*y**5 - 35/24*y**4 + 0. Let i(g) be the first derivative of p(g). Solve i(a) = 0.
-1, -1/3, 2
Factor 2357 - 2395*t**2 + 4797*t**2 - 2398*t**2 + 240*t + 919.
4*(t + 21)*(t + 39)
What is o in 1289*o**2 + 3*o - 61*o + 1298*o**2 - 19 - 422 - 2588*o**2 = 0?
-49, -9
Let l(h) = 14*h**2 + 18*h - 60. Let r be (-61)/244 + 1/((-4)/19). Let a(z) = 9*z**2 + 12*z - 40. Let p(q) = r*l(q) + 8*a(q). Find d, given that p(d) = 0.
-5, 2
Solve 671432 + 3740*y**2 - 3736*y**2 - 189796 - 2184*y - 592*y = 0.
347
Let c be 15 - (-4 - 1185/(-75)). Let -3/5*z**2 + c - 47/5*z = 0. What is z?
-16, 1/3
Let a(r) be the third derivative of 0*r**4 + 0*r - 4 - 35*r**2 - 1/90*r**5 - 1/180*r**6 + 0*r**3. Find g such that a(g) = 0.
-1, 0
Factor 618/5*s + 36 - 42/5*s**2.
-6*(s - 15)*(7*s + 2)/5
Suppose 33*m + 885 = 92*m. Suppose -18 = -m*j + 27. Factor -3/2*d**3 + 0*d + 0 + j*d**2.
-3*d**2*(d - 2)/2
Let u(s) be the first derivative of -s**2/2 - 7*s + 4. Let g be u(-13). Factor -90*t**5 + 36*t**3 - g*t**3 - 14*t**2 - 18*t**4 + 92*t**5.
2*t**2*(t - 7)*(t - 1)**2
Let -68/5*y**2 - 8/5*y**5 - 56*y - 28/5*y**4 + 0 + 192/5*y**3 = 0. Calculate y.
-7, -1, 0, 2, 5/2
Solve -6930*m**3 + 20*m**2 + 3450*m**3 + 3476*m**3 + 64 + 88*m = 0.
-2, -1, 8
Let f(r) = 2*r**2 - 4*r. Let i(y) = -17*y**2 + 666*y + 629. Let z(t) = 18*f(t) + 2*i(t). Factor z(w).
2*(w + 1)*(w + 629)
Let l = 208 - 201. Let -96 - l*v - 78*v**2 - 56*v**2 - 205*v - 67*v**2 + 69*v**2 - 12*v**3 + 4*v**4 = 0. Calculate v.
-3, -1, 8
Let a(m) be the second derivative of 5*m**7/168 - 31*m**6/24 + 55*m**5/16 + 145*m**4/16 + 2*m + 5438. What is p in a(p) = 0?
-1, 0, 3, 29
Let x = 295 + -293. Factor -22*b**x + 5*b**3 + 15 - 52*b + 7*b**2 + 47*b.
5*(b - 3)*(b - 1)*(b + 1)
Let h(v) be the third derivative of -v**5/36 + 35*v**4/18 + 632*v**2. Factor h(t).
-5*t*(t - 28)/3
Let p(v) = -1575*v - 190572. Let q be p(-121). Let 0 + 1/3*l - 1/6*l**q + 1/6*l**2 = 0. What is l?
-1, 0, 2
Suppose 2*a**2 + 59*a - 980 + 104*a - 6*a**2 + 53*a = 0. Calculate a.
5, 49
Let a(d) be the third derivative of 0*d**3 + 89*d**2 + 3/4*d**4 + 0 - 1/64*d**6 + 1/20*d**5 + 0*d - 1/560*d**7. Suppose a(b) = 0. What is b?
-4, 0, 3
Let z(b) be the second derivative of -b**5/5 - 302*b**4/3 - 15400*b**3 - 90000*b**2 - 5*b - 364. Factor z(t).
-4*(t + 2)*(t + 150)**2
Let m(x) = -71*x + 542 - 566 + 67*x. Let t be m(-6). Factor -5/2 + t*b + 5/2*b**2.
5*(b - 1)*(b + 1)/2
Let u = -742 + 759. Let m be -6*u/((-1071)/28). Let 16/3*f**4 + 16/3*f**3 - 8/3 - m*f**2 - 20/3*f + 4/3*f**5 = 0. What is f?
-2, -1, 1
Determine w, given that 3/5*w**2 - 1008/5 - 30*w = 0.
-6, 56
Let p be (2/(-15) - 79391/930)*4. Let j = 344 + p. What is r in -2/5 - 2/5*r**j - 4/5*r = 0?
-1
Let j be -3 - (-47 - -66)/(-1 + -5). Let u(o) be the first derivative of -2*o - 13 + 5/4*o**2 - j*o**3. Factor u(d).
-(d - 4)*(d - 1)/2
Find d such that 256/9*d**4 + 5492/9*d**3 + 4/9*d**5 + 23168/3*d + 3584 + 42488/9*d**2 = 0.
-24, -14, -1
Let j = 140 + -68. Factor 124*h**2 - 23*h**3 + j + 228*h**4 + 3*h**3 - 172*h - 232*h**4.
-4*(h - 2)*(h - 1)**2*(h + 9)
Suppose -28*h = -92*h + 1280. Let m(u) be the first derivative of -u**4 - 4*u + h + u**3 + 1/5*u**5 + 2*u**2. Find d such that m(d) = 0.
-1, 1, 2
Suppose -2*s + 7*j = 123 - 43, -30 = -3*s - 2*j. Factor -4/7*g**s + 8/7 - 4/7*g.
-4*(g - 1)*(g + 2)/7
Let v(h) = -h**2 + h. Suppose 0 = -15*b + 18*b - 3. Let o(z) = z**2 + 7 + 36*z + 3*z**2 + 2*z**2 + b. Let y(m) = o(m) - 2*v(m). Factor y(u).
2*(u + 4)*(4*u + 1)
Let i(n) be the first derivative of 0*n**2 + 0*n + 28/3*n**3 - 12 - n**4. Suppose i(s) = 0. What is s?
0, 7
Let w(g) be the second derivative of -1/20*g**6 - 9/20*g**5 - 11/8*g**4 - 3/2*g**3 + 33 + 0*g**2 - 2*g. Suppose w(t) = 0. Calculate t.
-3, -2, -1, 0
Let t = 67 + 43. Let n = t + -90. Factor -7*y**3 - n*y + 3*y - 2 - 16*y**2 + 6*y.
-(y + 1)**2*(7*y + 2)
Suppose 38 - 68*b**2 - 7/8*b**3 - 227/2*b = 0. Calculate b.
-76, -2, 2/7
Let y be 22/(-5)*21/(-14). Let s = -132607/5 + 26522. Find d, given that -y*d - 6 - s*d**2 = 0.
-10, -1
Let c be (-1)/((-1)/26) + 3. Factor 9 - 35*l - 8*l**2 - l**4 + 6*l**3 + 2*l**4 - 2*l**4 + c*l.
-(l - 3)**2*(l - 1)*(l + 1)
Let m(s) = -s**2 + 3*s + 8. Let b be m(0). Let z be (2/b)/(3*3/72). Find x, given that -1/9*x**z - 1/9*x**3 + 1/9 + 1/9*x = 0.
-1, 1
Let j(p) = -2*p**3 + 3*p**2. Let d be j(2). Let w(u) = u**2. Let t(i) = -5*i - 9*i - i + 9*i. Let y(o) = d*t(o) + 4*w(o). Factor y(h).
4*h*(h + 6)
Let w(h) = 0 - 12 + 35*h**2 + 42*h**2 - 8*h - 28*h**2. Let g be w(-2). Factor 17*q**2 + 3*q**2 - 195*q**3 + 20*q + g*q**3.
5*q*(q + 2)**2
Let f(c) be the third derivative of -c**6/40 - 17*c**5/4 - 79*c**4 - 616*c**3 - 1043*c**2. Suppose f(j) = 0. Calculate j.
-77, -4
Let j(s) = -13*s - 114. Let y be j(-15). Let a = y - 885/11. Factor -2/11*n**4 - 2/11*n**5 - a*n**2 + 10/11*n**3 + 0 + 0*n.
-2*n**2*(n - 1)**2*(n + 3)/11
Let c be 20/(-18) - -1 - 27/(-3888)*16. Let b(v) be the second derivative of 1/10*v**5 - 216*v**2 + c - 3*v**4 - 24*v + 36*v**3. Find p such that b(p) = 0.
6
Let j(g) be the second derivative of g**3/6 + 23*g**2 - 18*g. Let o be j(-22). Factor -b**2 + o*b**2 + 6 - 14*b - 2*b**2 - 13*b.
3*(b - 1)*(7*b - 2)
Let u be (-6 - (-24)/8)/((-7)/75). Let w = 36 - u. Suppose 0 + 3*j**4 + 0*j + 6/7*j**2 - w*j**3 = 0. Calculate j.
0, 2/7, 1
Find a, given that -2*a**5 - 6*a**3 - 48*a**4 + 24*a**3 + 81*a**3 + 