et f(d) = -16*d**2 + 6*d**2 + 7 + 17*d - 20*d + 4*d. Let j(p) = 3*f(p) + 21*y(p). Find r, given that j(r) = 0.
0, 1/3
Let j(o) be the first derivative of o**4 - 20*o**3 - 2643. Factor j(b).
4*b**2*(b - 15)
Let x(y) be the third derivative of -y**6/540 + y**4/36 - 6*y**3 - 41*y**2. Let q(l) be the first derivative of x(l). Suppose q(g) = 0. What is g?
-1, 1
Factor -236/7 + 232/7*j + 4/7*j**2.
4*(j - 1)*(j + 59)/7
Let y(d) be the first derivative of -2*d**3/33 + 149*d**2/11 + 912*d/11 - 9467. Factor y(l).
-2*(l - 152)*(l + 3)/11
Let p(b) be the second derivative of 0*b**5 - 3/14*b**4 + 92*b + 1/105*b**6 + 4/21*b**3 + 0 + 12/7*b**2. What is c in p(c) = 0?
-3, -1, 2
Let l be (4/(-20))/(329/423*9/(-15)). Solve -l*v**2 + 69/7*v + 72/7 = 0 for v.
-1, 24
Let o = -1/150 - 127/950. Let u = 1/38 - o. Factor 0*p**2 - 1/2*p + u*p**3 + 1/3.
(p - 1)**2*(p + 2)/6
Solve -374/7*j**3 + 108/7*j**2 + 0*j - 2*j**4 + 0 = 0.
-27, 0, 2/7
Suppose -11*z + 975 = 2*z. Let x = 75 - z. Factor -47*m**5 + 10*m**2 + x*m**3 + 42*m**5 + 15*m**3.
-5*m**2*(m - 2)*(m + 1)**2
Let o(l) be the third derivative of -l**6/450 + 7*l**5/75 + 41*l**3/6 + 5*l**2 + 5. Let q(u) be the first derivative of o(u). Factor q(p).
-4*p*(p - 14)/5
Let j be 50*26/(-6)*(-580)/18850. Factor -4/3*f**3 - 28/3*f - 4 - j*f**2.
-4*(f + 1)**2*(f + 3)/3
Solve 0 + 688/3*i**2 - 689/3*i + 1/3*i**3 = 0.
-689, 0, 1
Let x be (3/(-5))/(((-342)/75)/38) + 4/(-2). Let 0 + 212/5*o**2 + 26/5*o**x + 32/5*o = 0. What is o?
-8, -2/13, 0
Let x(y) be the first derivative of 5*y**3/3 - 415*y**2 - 294. Find f such that x(f) = 0.
0, 166
Let o = -495 - -454. Let r = -38 - o. Suppose -9/4*m**4 - m**5 + 1/4 + 3/2*m + 2*m**2 - 1/2*m**r = 0. What is m?
-1, -1/4, 1
Let -820*q**5 + 818*q**5 - 22*q**3 - 72 - 13*q**4 + 24*q - 17*q**4 + 16 + 86*q**2 = 0. Calculate q.
-14, -2, -1, 1
Let x be ((-155)/(-651))/(15/9). Let i(c) be the first derivative of 0*c - 1/14*c**4 - 4/21*c**3 + 21 - x*c**2. Determine p, given that i(p) = 0.
-1, 0
Let t(b) be the third derivative of b**6/780 + 323*b**5/390 + 643*b**4/156 + 107*b**3/13 - b**2 + 67*b. Factor t(u).
2*(u + 1)**2*(u + 321)/13
Suppose -113*i - 96*i - 210*i + 5*i**2 - 46*i = 0. Calculate i.
0, 93
Let f be -3*(-10)/15 - 0. Solve 44 + 62 - 20*l + 5*l**f - 86 = 0 for l.
2
Suppose 86*s = -3*t + 77*s + 45, -5*t = -3*s - 3. Factor 1/3*l**t + 0 + 2/3*l - l**2.
l*(l - 2)*(l - 1)/3
Let p be (0 - 2)*-2*12/16. Determine k, given that -4*k**p + 2*k**2 + 10*k**2 + 8*k**3 + 0*k**3 + 8*k = 0.
-2, -1, 0
Let v(k) be the third derivative of 3*k**7/560 - 43*k**6/320 + 161*k**5/160 - 49*k**4/64 - 1086*k**2. Solve v(o) = 0.
0, 1/3, 7
Let w be (10/(-12))/((-25)/20)*3. Let m be w + 1095/60 + 2/(-8). Factor 14*n**2 - m*n**2 + 2*n**3 + 4 + 4.
2*(n - 2)**2*(n + 1)
Let h(k) be the second derivative of 67 + 10*k**3 - 1/10*k**6 - 1/2*k**4 - 3/4*k**5 + 36*k**2 + 2*k. Find x, given that h(x) = 0.
-3, -2, 2
Let s be (405/(-189))/((-6)/28*2). Let 5/6*v**4 - 5/6*v**2 - 2/3*v + 0 + 1/6*v**s + 1/2*v**3 = 0. What is v?
-4, -1, 0, 1
Let h(n) = 4*n**2 + 9*n - 3. Let f(a) = 8*a + 2 - 31*a - 3*a**2 + 16*a. Let p(w) = 5*f(w) + 4*h(w). Factor p(k).
(k - 1)*(k + 2)
Let r(c) be the first derivative of -c**3/9 - 52*c**2/3 - 165*c + 6454. Factor r(n).
-(n + 5)*(n + 99)/3
Let l(q) = -11*q**4 + 33*q**3 + 143*q**2 + 139*q - 4. Let v(a) = -13*a**4 + 33*a**3 + 136*a**2 + 140*a - 5. Let c(d) = 5*l(d) - 4*v(d). Solve c(t) = 0.
-3, -1, 0, 15
Let i = 283054/495271 - 6/70753. Find p, given that -32/7*p**2 - i*p**3 - 6/7*p + 0 + 10/7*p**5 + 32/7*p**4 = 0.
-3, -1, -1/5, 0, 1
Determine v so that -2/9*v**4 - 38/9*v**3 - 14/3*v + 82/9*v**2 + 0 = 0.
-21, 0, 1
Let v(g) = -16*g**2 - 68*g + 140. Let l(i) = 19*i**2 + 69*i - 139. Let p(q) = 4*l(q) + 5*v(q). Factor p(r).
-4*(r - 2)*(r + 18)
Let p be (-5)/(60/(-8))*42. Let n be 16/p*(-42)/(-156). Factor 0*g + 0*g**4 - 4/13*g**2 + 0 + n*g**5 - 6/13*g**3.
2*g**2*(g - 2)*(g + 1)**2/13
Determine c, given that -c**5 + 18*c**2 - 36*c - 4*c**4 + 22*c**3 + 2*c**4 - c**5 + 10*c**4 - 10*c**4 = 0.
-3, -2, 0, 1, 3
Let u be 80/36*(-8)/128*-12. Let l(x) be the first derivative of u*x**3 + 245*x + 1 + 35*x**2. Suppose l(b) = 0. What is b?
-7
Let b(u) be the third derivative of u**5/120 + 49*u**4/192 + u**3/4 - 1914*u**2. Factor b(o).
(o + 12)*(4*o + 1)/8
Let k(i) = 2*i**5 + 218*i**4 + 2200*i**3 - 2417*i**2 - 6. Let b(q) = -3*q**5 - 217*q**4 - 2200*q**3 + 2418*q**2 + 4. Let p(o) = -3*b(o) - 2*k(o). Factor p(d).
5*d**2*(d - 1)*(d + 22)**2
Let x(v) = v**3 - 7*v**2 - 17*v + 3. Let y be x(9). Suppose -10 = y*b - 17*b. Factor 4*i**2 + 4*i + 4*i**2 + 4*i**2 - 18*i**b.
-2*i*(3*i - 2)
Factor -28/5*x - 116/5*x**2 + 0 - 16/5*x**3.
-4*x*(x + 7)*(4*x + 1)/5
Factor 96 - 188/3*k + 22/9*k**2.
2*(k - 24)*(11*k - 18)/9
Let o(p) be the first derivative of -p**6/2 - 33*p**5/5 + 36*p**4 + 76*p**3 - 168*p**2 + 3422. Suppose o(f) = 0. Calculate f.
-14, -2, 0, 1, 4
Suppose -2*a = 2 - 26. Suppose -2*j = -5*y + a, j = -8*y + 4*y + 20. Determine q so that 8/5*q**3 + 0 - 2/5*q**j + 2*q**2 + 0*q = 0.
-1, 0, 5
Let x(t) = 15*t + 3. Let w be x(-4). Let z = w + 61. Find i such that 3*i**4 - 68*i**z - 145*i**4 - 160 + 240*i**2 + 66*i**5 - 21*i**5 - 240*i + 200*i**3 = 0.
-2/3, 2
Let m(y) be the first derivative of y**4 - 292*y**3/3 + 2590*y**2 + 5476*y - 614. Factor m(l).
4*(l - 37)**2*(l + 1)
Let i(u) be the third derivative of u**7/84 + u**6/48 - 5*u**5/8 + 115*u**4/48 - 25*u**3/6 + u**2 + 21*u + 9. Find l, given that i(l) = 0.
-5, 1, 2
Let y(w) be the second derivative of w**4/12 + 61*w**3/2 - 567*w**2 - 12167*w. Factor y(b).
(b - 6)*(b + 189)
Let f = -3/28 + 9/196. Let c = 61/196 + f. Factor -5/4*t + 0 + c*t**2.
t*(t - 5)/4
Find v, given that -51*v**2 + 18*v**2 - 26*v**2 - 7*v**3 - 39*v - 97*v - 48 = 0.
-4, -3/7
Let b be 262/180 - -2*27/1215. Solve 0 + 1/2*a + 1/2*a**4 + b*a**2 + 3/2*a**3 = 0.
-1, 0
Let a = 299 - 125. Determine s so that 90*s**3 - 160*s - 492*s + 579*s**2 - 788*s + 3*s**4 + 834 - a + 108 = 0.
-16, 1
Let w = 723 + -733. Let g be w/(-30) - (2 + 33/(-15)). Solve -22/15*z**3 + g*z + 8/15 + 2/5*z**5 + 2/15*z**4 - 6/5*z**2 = 0.
-1, 2/3, 2
Suppose 0*t - 245 = -5*t. Let g = t + -47. Factor -2*k**2 - 12*k - g*k - 4 + 6*k + 2*k.
-2*(k + 1)*(k + 2)
Let c(f) be the first derivative of 206 + 14/9*f - 2/27*f**3 - 2/3*f**2. What is m in c(m) = 0?
-7, 1
Solve 1036/5*c + 552/5 + 596/5*c**2 + 116/5*c**3 + 4/5*c**4 = 0 for c.
-23, -3, -2, -1
Let k(g) = 20*g**3 - 56*g**2 - 600*g - 276. Let f(b) = -b**3 + b**2 - 1. Let y(w) = -12*f(w) - k(w). Factor y(h).
-4*(h - 12)*(h + 6)*(2*h + 1)
Suppose -83231*t**5 - 449*t + 372 + 39*t**4 + 741*t**2 + 41615*t**5 - 271*t**3 - 431*t + 41615*t**5 = 0. Calculate t.
1, 2, 3, 31
Suppose 1286 - 1414 = -8*c. Let i(p) be the first derivative of 5 - 4/3*p**3 + 8*p**2 - c*p. Factor i(w).
-4*(w - 2)**2
Factor 3574*c - 1505*c + 5*c**2 + 2501*c + 705*c.
5*c*(c + 1055)
Let m(p) be the third derivative of -p**8/1680 - p**7/90 - p**6/30 + 35*p**4/8 + 2*p**2 - 9*p. Let g(y) be the second derivative of m(y). Factor g(a).
-4*a*(a + 1)*(a + 6)
Let c(i) be the third derivative of -i**8/84 - 169*i**7/210 - 159*i**6/20 - 497*i**5/15 - 199*i**4/3 - 48*i**3 + 1603*i**2. Factor c(w).
-(w + 2)**3*(w + 36)*(4*w + 1)
Suppose 3*x - 21*y - 15 = -19*y, -5*y = 9*x - 45. What is o in -3/2*o - 8/3*o**2 - o**4 - 1/3 - 7/3*o**3 - 1/6*o**x = 0?
-2, -1
Let u(b) be the first derivative of -10 - 1/25*b**5 - 1/15*b**3 + 2/5*b + 3/20*b**4 - 3/10*b**2. Factor u(g).
-(g - 2)*(g - 1)**2*(g + 1)/5
Let j = -53601 - -53603. Factor 5*x**4 + 0*x**j + 5/2*x**5 + 0 + 0*x + 5/2*x**3.
5*x**3*(x + 1)**2/2
Let a(r) = 11*r**3 + 2660*r**2 - 7329*r - 2306. Let z(x) = 76*x**3 + 18624*x**2 - 51301*x - 16143. Let t(y) = -27*a(y) + 4*z(y). Factor t(c).
(c - 3)*(c + 385)*(7*c + 2)
Let y(b) = b**2 + 15*b - 88. Let p be y(5). Let z be ((-3)/p)/(56/(-2976)). Solve -327/7*v**3 + 459/7*v**2 + z*v**4 - 9/7*v**5 - 264/7*v + 48/7 = 0.
1/3, 1, 4
Let r be 28/1 - 3770/145. Factor 27/2*n + 15 - 3/2*n**r.
-3*(n - 10)*(n + 1)/2
Let o(g) be the first derivative of g**5/2 - 25*g**4/24 + 5*g**3/18 + 5*g**2/12 - 559. Factor o(m).
5*m*(m - 1)**2*(3*m + 1)/6
Suppose -1239*c + 1244*c = 20. Let f(s) = -3*s**2 + 484*s + 11524. Let b(r) = -25*r**2 + 4355*r + 103715. Let d(u) = c*b(u) - 35*f(u). Factor d(i).
5*