*4 - 32*h**4 + 2*h**2.
-2*h*(h - 1)**2*(h + 1)
Let g(s) be the first derivative of -11*s**7/525 + s**6/75 + 3*s**5/125 + 107*s - 84. Let b(q) be the first derivative of g(q). Factor b(v).
-2*v**3*(v - 1)*(11*v + 6)/25
Let x(o) = -5*o**2 + 765*o - 780. Let y(w) = -4*w**2 + 383*w - 391. Let k(l) = 3*x(l) - 5*y(l). Factor k(t).
5*(t - 1)*(t + 77)
Let i(r) be the first derivative of r**6/40 + 7*r**5/10 + 13*r**4/8 + 57*r**2/2 + 107. Let k(t) be the second derivative of i(t). Solve k(g) = 0.
-13, -1, 0
Find f such that 7855*f**2 - 165*f**3 + 40*f**4 - 7565*f**2 + 5*f**5 - 120*f - 50*f**3 = 0.
-12, 0, 1, 2
Let t(g) = -44*g + 33088 - 2*g**2 + 0*g**2 - 33125. Let l be t(-21). Factor 2/5*y**2 - 2/5*y**3 + 2/5*y**l + 0 - 2/5*y**4 + 0*y.
2*y**2*(y - 1)**2*(y + 1)/5
Let a = -2/70219 + 70227/280876. Let a*q**4 - 3/4*q**3 + 0*q + 0 + 1/2*q**2 = 0. What is q?
0, 1, 2
Let o(i) be the third derivative of 9*i**7/140 + 811*i**6/120 + 271*i**5 + 4550*i**4 + 4000*i**3/3 - i**2 - 420*i. Factor o(m).
(m + 20)**3*(27*m + 2)/2
Let v be (-8 - -2) + -135 + 145. Let p(f) be the third derivative of 0*f + 0*f**v - 1/112*f**8 + 0*f**5 - 1/70*f**7 - 8*f**2 + 0*f**6 + 0 + 0*f**3. Factor p(b).
-3*b**4*(b + 1)
Suppose 4*l = 5*a + 34 - 95, 5*a - 49 = l. Solve 13*i**2 + i**2 - a*i**2 = 0.
0
Let j(w) be the first derivative of 0*w**2 - 1/4*w**5 - 1 + 1/3*w**3 + 1/4*w**4 - 40*w. Let b(q) be the first derivative of j(q). Factor b(x).
-x*(x - 1)*(5*x + 2)
Let z be 88/(-16)*2142/(-3927). Solve 0 - 15/2*b**2 + 1/2*b**z + 7*b = 0 for b.
0, 1, 14
Solve -49*k**2 - 1596*k**3 + 10143*k**4 + 3126 + 372*k - 1701*k**3 - 845*k**2 - 3150 = 0 for k.
-1/3, 2/23, 2/7
Let d be (-2)/(-8)*((-370)/(-200)*8 - 14). Factor 3/5*j + 2/5*j**2 - d*j**3 + 0.
-j*(j - 3)*(j + 1)/5
Let u(a) = -14*a - 40. Let h be u(-3). Find p, given that -1 + 116*p**2 - 15*p - 11 - 119*p**h = 0.
-4, -1
Let f(y) = 5*y + 22. Let a be f(-4). Factor 29*l**4 - 4*l**3 + 30*l**a - 5*l**3 - 23*l**4 + 3*l**5 - 18*l**4 + 24*l.
3*l*(l - 4)*(l - 2)*(l + 1)**2
Let g(h) be the second derivative of -h**7/189 - 8*h**6/135 + 7*h**5/45 + 8*h**4/9 + h**3 - 2052*h. Let g(w) = 0. Calculate w.
-9, -1, 0, 3
Let h(x) = 5*x**2 + 40*x - 4830. Let r(d) = -d**2 - 11*d + 1208. Let p(u) = 4*h(u) + 15*r(u). Solve p(g) = 0 for g.
-15, 16
Let l be (-16)/(-56) - (-20808)/231. Let f = l + -90. Solve 2/11*q + 2/11*q**2 - f = 0 for q.
-2, 1
Suppose -142664286 - 1329*c**2 - 4*c**3 - 3309168*c - 3651*c**2 - 143229214 + 1242468*c = 0. Calculate c.
-415
Let v(y) be the first derivative of y**7/5880 - y**6/315 + y**5/70 + 2*y**3/3 + 81*y**2/2 - 69. Let k(x) be the third derivative of v(x). Solve k(w) = 0.
0, 2, 6
Let g = -459698 - -459700. Let -7 - 93/2*m - 181/2*m**g - 9/2*m**4 - 87/2*m**3 = 0. What is m?
-7, -2, -1/3
Let h(q) = 205*q**2 + 42*q - 3. Let u be h(-3). Let z = u - 39464/23. What is c in -18/23*c**2 - 14/23*c + z = 0?
-1, 2/9
Let j = -5107 - -5110. Let o(h) be the first derivative of -1/44*h**4 + 5 - 2/11*h**2 + 0*h - 4/33*h**j. Determine d so that o(d) = 0.
-2, 0
Let w(d) be the second derivative of d**7/14 + 37*d**6/10 + 81*d**5/4 - 3853*d**4/4 + 5014*d**3 - 9522*d**2 - 26*d - 103. Determine g, given that w(g) = 0.
-23, 1, 2, 6
Let s be 3 + -28*18/180. Let u(m) be the first derivative of 17 + 3/16*m**4 - 1/2*m**2 - s*m**5 + 1/3*m**3 + 0*m + 1/24*m**6. Factor u(f).
f*(f - 2)**2*(f - 1)*(f + 1)/4
Let t(c) be the third derivative of c**6/24 + 41*c**5/12 - 455*c**4/8 + 705*c**3/2 - 103*c**2 + 2*c + 2. Factor t(j).
5*(j - 3)**2*(j + 47)
What is x in -26/5*x**2 + 12/5*x**4 + 1/5*x**5 + 0 - 3*x**3 + 0*x = 0?
-13, -1, 0, 2
Let x(f) be the first derivative of -f**6/36 + 41*f**5/10 + 127*f**4/12 - 82*f**3/3 - 250*f**2/3 - 10057. Suppose x(i) = 0. What is i?
-2, 0, 2, 125
Let w(l) = -l**2 - 4*l + 11. Let h be w(8). Let j = h + 87. Determine y so that -2*y**2 - 3*y**2 + 3*y - 23*y + y**j = 0.
-5, 0
Let v(c) = c**4 + c**3 + c - 1. Let m(l) = 2*l**4 - l**3 + 2*l**2 + 15*l - 34. Let k(w) = -m(w) + 3*v(w). Let g(p) be the first derivative of k(p). Factor g(f).
4*(f - 1)*(f + 1)*(f + 3)
Let u = 15321 + -15315. Let i(c) be the second derivative of 1/12*c**4 + 0 + 0*c**3 + 0*c**2 - 1/30*c**u + 0*c**5 + 15*c. Let i(y) = 0. What is y?
-1, 0, 1
Let d = -1900 - -1902. Let q be 136/(-1428) + d/3. Factor -16/7*w**4 - 6/7*w**5 - q*w**2 + 0 - 2*w**3 + 0*w.
-2*w**2*(w + 1)**2*(3*w + 2)/7
Suppose m + 3*h = 2*h - 23, -5*h = -3*m - 45. Let c be (4/5)/(m/(-50)). Determine x so that 6*x - 8 - c*x**2 - 2*x + 4*x = 0.
2
Let g(o) be the first derivative of -o**4/5 - 392*o**3/15 - 194*o**2/5 - 3469. Factor g(z).
-4*z*(z + 1)*(z + 97)/5
Let f(h) be the first derivative of -h**4/2 + 2834*h**3/3 - 502680*h**2 + 1002528*h + 5145. Factor f(j).
-2*(j - 708)**2*(j - 1)
Let r(q) be the second derivative of -q**4/24 + 20*q**3/9 - 13*q**2/3 - 991*q. Factor r(k).
-(k - 26)*(3*k - 2)/6
Let v(c) = -23*c**4 - 25 + 15*c**3 - 2263*c**2 - 17*c**4 + 2288*c**2. Let h(j) = 5*j**4 - 2*j**3 - 3*j**2 + 3. Let z(s) = -25*h(s) - 3*v(s). Factor z(f).
-5*f**3*(f - 1)
Suppose -1 = -b - 2*y, 0 = -b - 2*y - y. Factor 3*l**3 + 0*l**4 + 4*l**4 - 65*l**3 - 800*l + 500 + 360*l**2 - 2*l**b.
4*(l - 5)**3*(l - 1)
Let i(r) be the third derivative of -2*r**7/945 + 53*r**6/270 + 11*r**5/27 - 53*r**4/54 - 4*r**3 + r**2 + 3250*r. Solve i(f) = 0.
-1, 1, 54
Let w(m) be the first derivative of m**5/10 - 11*m**4/8 + 5*m**3/3 + 496. Suppose w(v) = 0. Calculate v.
0, 1, 10
Let s = -42/169 + 800/1859. Let b = -495 + 5449/11. Determine o, given that 0*o**2 + s*o**4 - 4/11*o + b*o**3 - 2/11 = 0.
-1, 1
Factor 1/5*y**3 - 513*y**2 + 438615*y - 125005275.
(y - 855)**3/5
Let t(n) be the third derivative of n**7/3528 + 19*n**6/630 + n**5/14 + 3*n**4/4 - 145*n**2. Let o(i) be the second derivative of t(i). Factor o(q).
(q + 30)*(5*q + 2)/7
Let h(v) be the second derivative of -3*v**6 - 231*v**5/40 + 3*v**4 + 39*v**3/4 - 3*v**2/2 + 1008*v. Find z such that h(z) = 0.
-1, 1/20, 2/3
Let c(i) be the third derivative of i**7/350 - i**6/5 + 181*i**5/100 - 21*i**4/4 - 5255*i**2. Find z, given that c(z) = 0.
0, 2, 3, 35
Let g(x) = -18*x**3 - 196*x**2 + 3247*x - 8044. Let n(c) = 5*c**3 + 65*c**2 - 1082*c + 2684. Let k(r) = -6*g(r) - 21*n(r). Factor k(i).
3*(i - 30)**2*(i - 3)
Suppose 0*i + 1445 = 5*i. Suppose -4*p + i = 4*r - 211, 4*r - 500 = -5*p. Factor 5*q**3 + r + 76*q + 39*q**2 + 155*q - 56*q + 16*q**2.
5*(q + 1)*(q + 5)**2
Factor -18160*m**2 - 30*m**3 + 3*m**4 + 0*m**4 + 18232*m**2.
3*m**2*(m - 6)*(m - 4)
Let 146663 + 45270 + 881*u**4 + 208067 + 73000*u**2 + 320000*u + 5*u**5 - 571*u**4 + 7100*u**3 = 0. What is u?
-20, -10, -2
Suppose -165*c - 183*c = -4176. Let v(h) be the second derivative of -1/5*h**5 - c*h**2 + 4/3*h**4 - 24*h - 2/3*h**3 + 0. Factor v(k).
-4*(k - 3)*(k - 2)*(k + 1)
Determine j so that -51/2*j**2 - 3/2*j**3 - 270 - 144*j = 0.
-6, -5
Factor -42/5*w + 3/5 + 24*w**2.
3*(4*w - 1)*(10*w - 1)/5
Solve 2765*b**3 + 958 - 590*b**4 + 585*b**4 - 958 + 380880*b - 383640*b**2 = 0.
0, 1, 276
Let z = -107 - -110. Find j such that -19 - 48*j - 15*j**2 + 21*j**z + 13 - 6 = 0.
-1, -2/7, 2
Suppose 0 = 2*o - 27*r + 28*r - 1, 5*o + 17 = 4*r. Let q be 9 + 96/(-14) + o. Find g such that 0 + q*g**3 + 12/7*g**2 - 4/7*g**4 + 0*g = 0.
-1, 0, 3
Let v = -3641 - -273076/75. Let h(o) be the second derivative of 13*o + v*o**6 - 2/45*o**4 + 0*o**3 + 0 + 0*o**5 - 1/315*o**7 + 0*o**2. Factor h(n).
-2*n**2*(n - 2)**2*(n + 1)/15
Let 216 - 126*o + 2*o**5 + 76*o**3 + 23*o**2 + 9*o**2 - 22*o**4 - 2*o**2 - 162*o - 14*o**3 = 0. What is o?
-2, 1, 3, 6
Let z(g) be the second derivative of g**9/18900 - g**8/2100 + g**7/630 - g**6/450 - 65*g**4/12 + 49*g. Let d(j) be the third derivative of z(j). Factor d(h).
4*h*(h - 2)*(h - 1)**2/5
Suppose g = -3*f + 10, 4*f - 4*g = -696 + 688. Factor -28/5*z - 4/5*z**f - 24/5.
-4*(z + 1)*(z + 6)/5
Suppose -37 + 50 = -38*j + 89. Factor -9/7 + 9/7*v**j - 3/7*v + 3/7*v**3.
3*(v - 1)*(v + 1)*(v + 3)/7
Suppose 0*v + 2*v + 4 = 0, 0 = -5*a + v + 162. Suppose a*u - 62 - 34 = 0. Factor -15/4*g**2 + 5/4*g**u + 15/4*g - 5/4.
5*(g - 1)**3/4
Let g(t) be the second derivative of -5*t**7/189 - 22*t**6/15 - 211*t**5/9 - 1462*t**4/27 - 95*t**3/9 + 722*t**2/9 + 616*t. Suppose g(s) = 0. What is s?
-19, -1, 2/5
Factor -2601*n - 420 - 160*n**3 + 234*n + 1255