2 + 1/4*t**4 - 9/20*t**5 + 0. Find c, given that g(c) = 0.
-1, 2/3
Let u(f) be the first derivative of -5*f**6/6 - 5*f**5 + 255*f**4/2 - 1600*f**3/3 + 560*f**2 - 1972. What is x in u(x) = 0?
-14, 0, 1, 4
Let g(n) = n - 5. Let q be g(14). Suppose -5*c + 6 = -2*o - c, o - 4*c = -9. Factor -q*f + 22*f**3 + 2 + 1 - 34*f**3 + o*f**4 + 18*f**2 - 3*f.
3*(f - 1)**4
Let n(k) be the first derivative of -2*k**3/39 - 58*k**2/13 - 90*k + 7730. Factor n(o).
-2*(o + 13)*(o + 45)/13
Let x(v) = -65 - v - v**3 + 66 + 0*v**3 + 7*v**3. Let o be x(1). Solve -12*u**2 + o*u**3 + 5*u**3 - 4 - 3*u**3 + 8 = 0.
-1/2, 1
Suppose -2*n = -4*t - 162, -5*t + 60 = -12*n + 13*n. Suppose -19*v = 18 - n. Factor -17/3*u**2 - u**v + 3 - 7*u.
-(u + 3)**2*(3*u - 1)/3
Let g(t) be the first derivative of -9 + t**2 - 1/2*t**4 - 12*t + 4*t**3. Factor g(v).
-2*(v - 6)*(v - 1)*(v + 1)
Factor 38*s**4 - 104*s**4 + 29*s**4 - 410*s + 32*s**4 + 36*s**3 + 174*s**3 - 195*s**2.
-5*s*(s - 41)*(s - 2)*(s + 1)
Let q(l) be the second derivative of -112*l - 7/54*l**4 + 0 - 20/9*l**2 - 13/9*l**3. Determine n so that q(n) = 0.
-5, -4/7
Let z(x) be the first derivative of -3*x**4/22 - 76*x**3/11 - 1275*x**2/11 - 6936*x/11 + 126. Factor z(j).
-6*(j + 4)*(j + 17)**2/11
Factor 0*g**3 + 2*g**3 - 168*g**2 + 2244*g - 12881 - g**3 + 3*g**3 + 3633.
4*(g - 17)**2*(g - 8)
Factor 391*b**3 + 37632 - 237*b**2 - 649*b**2 + 217*b**2 - 394*b**3 - 36960*b.
-3*(b - 1)*(b + 112)**2
Let l(q) = -4509*q - 99195. Let c be l(-22). Factor 0 + 0*b**2 + 32/3*b**4 - 2*b**c + 0*b.
2*b**3*(16*b - 3)/3
Let v(h) be the second derivative of -6*h + 2/3*h**3 - 7 - 1/5*h**5 - 1/30*h**6 - 1/4*h**4 + 2*h**2. Factor v(i).
-(i - 1)*(i + 1)*(i + 2)**2
Let x be -13 + 14 - (3 - 1)/(42/21). Let p(d) be the first derivative of -22 + 1/25*d**5 - 1/20*d**4 + 0*d**2 + x*d - 2/15*d**3. Factor p(u).
u**2*(u - 2)*(u + 1)/5
Let a = -317 - -320. Suppose -18 - w**4 - 6 - 638*w**3 - 30*w**2 + 629*w**a - 44*w = 0. What is w?
-3, -2
Let u(v) be the third derivative of -v**5/30 - 17*v**4 - 404*v**3/3 + 2736*v**2. Factor u(r).
-2*(r + 2)*(r + 202)
Let o(v) be the third derivative of 79*v - 19/24*v**4 + v**3 + 0 - 17/30*v**5 + v**2 - 3/40*v**6. Factor o(c).
-(c + 1)*(c + 3)*(9*c - 2)
Let l(u) be the third derivative of u**5/630 - 95*u**4/252 + 94*u**3/63 - 3*u**2 - 313. Factor l(g).
2*(g - 94)*(g - 1)/21
Let x = -337880 + 337880. Find k such that 1/3*k**4 + x - 1/3*k**2 + 2/3*k**3 - 2/3*k = 0.
-2, -1, 0, 1
Let -13*r**4 + 53968842*r + 8*r**5 + r**4 - 53968830*r - 116*r**3 - 124*r**2 + 40 = 0. What is r?
-2, -1, 1/2, 5
Let n(j) be the first derivative of 22*j**3 - 969*j**2/2 + 468*j + 2998. Factor n(z).
3*(2*z - 1)*(11*z - 156)
Suppose 382/9*v**2 - 264*v - 14/9*v**3 + 72 = 0. What is v?
2/7, 9, 18
Let m(i) be the second derivative of i**4/4 - 39*i**3 + 231*i**2/2 - 1789*i. Factor m(s).
3*(s - 77)*(s - 1)
Let z = 37018 + -185086/5. Determine o so that -57/5*o + z*o**2 + 14/5 = 0.
1/4, 14
Let w(q) = -26*q - 179. Let p be w(-7). Suppose -95*m**2 + 1310*m**p - 3*m**4 - 2*m**4 - 1410*m**3 = 0. Calculate m.
-19, -1, 0
Let y = 29541/4 + -7385. Let v(a) be the first derivative of -21 + 1/12*a**3 - y*a + 0*a**2. Factor v(c).
(c - 1)*(c + 1)/4
Suppose s + 95*d - 9 = 94*d, 2*s + 3*d = 24. Let x(u) be the first derivative of -5/7*u**2 + 12/7*u + 11 - 2/21*u**s. Factor x(g).
-2*(g - 1)*(g + 6)/7
Suppose -2*v**3 - v**3 - 335331494*v**2 - 324 - 387*v + 335331428*v**2 = 0. Calculate v.
-12, -9, -1
Let q(u) be the first derivative of 5/8*u**4 + 1/8*u**6 + 7/10*u**5 + 111 - 13/8*u**2 - 5/3*u**3 + 3/2*u. Find i such that q(i) = 0.
-3, -2, -1, 1/3, 1
Let p = 3248 + -3245. Let h(f) be the first derivative of -16 - 1/36*f**6 + 0*f**2 + 1/24*f**4 - 1/30*f**5 + 1/18*f**p + 0*f. Factor h(t).
-t**2*(t - 1)*(t + 1)**2/6
Let t = 23968/155285 - 6/11945. Factor 12/13 + 8/13*r**2 - 22/13*r + t*r**3.
2*(r - 1)**2*(r + 6)/13
Let d(m) be the first derivative of 5*m**4/4 - 145*m**3 + 1443. Factor d(j).
5*j**2*(j - 87)
Let l(f) be the third derivative of -f**7/840 + f**6/60 + 19*f**5/120 - f**4 + 146*f**3/3 - f**2 - 72*f. Let o(q) be the first derivative of l(q). Factor o(d).
-(d - 8)*(d - 1)*(d + 3)
Suppose 1354013*w**3 + 206*w**2 - 1354012*w**3 + 19*w**2 - 226*w = 0. What is w?
-226, 0, 1
Let x be ((-21)/70 + (-12)/(-15))*4*261/30. Determine u, given that -x*u**3 + 87/5*u - u**4 - 29/5*u**2 + 34/5 = 0.
-17, -1, -2/5, 1
Let k be 2 + -5 - (-8 + 1/1). Factor 3*z**4 - 90*z**2 + k*z**5 + z**5 + z**5 - 4*z**5 + 36*z + 74*z**3 - 25*z**4.
2*z*(z - 6)*(z - 3)*(z - 1)**2
Let f(h) be the first derivative of h**6/120 - h**5/5 + 3*h**4/2 - 68*h**3 + 213. Let i(s) be the third derivative of f(s). Factor i(w).
3*(w - 6)*(w - 2)
Let r(k) = 9*k**2 + 18*k - 72. Let b(h) = 44*h**2 + 92*h - 360. Let l be -5 + (-2 - -7 - -5). Let p(z) = l*b(z) - 24*r(z). Suppose p(o) = 0. What is o?
-9, 2
Let b(y) = -13*y + 71. Let h be 10/(((-36)/(-3))/6). Let c be b(h). Factor -c*d + 14/5 + 18/5*d**2 - 2/5*d**3.
-2*(d - 7)*(d - 1)**2/5
Suppose -325 = 4*u + 4*c - 349, -4*c + 3*c = -2*u. Factor 10 + 1/2*f**u + 21/2*f.
(f + 1)*(f + 20)/2
Let w(v) be the first derivative of -v**5/40 - v**4/4 + 295*v**3/24 - 143*v**2/8 + 347. Factor w(a).
-a*(a - 13)*(a - 1)*(a + 22)/8
Let f be 43/((-2709)/42) + (-20)/(-3). Let b(m) be the second derivative of 0 + 8/9*m**3 - f*m - 4/3*m**2 + 5/18*m**4. Solve b(c) = 0 for c.
-2, 2/5
Let i = -761 - -831. Suppose 0 = 4*y - 71*w + i*w, -3*w = 4*y. Factor y + 0*f + 0*f**3 + 0*f**2 - 1/9*f**4.
-f**4/9
Let t(a) be the third derivative of a**6/40 + 39*a**5/10 - 159*a**4/8 + 40*a**3 - 12*a**2 - 63*a + 2. Factor t(d).
3*(d - 1)**2*(d + 80)
Let u(p) = p**3 + 4*p**2 + 4*p - 6. Let o be u(-3). Let i be (-2)/(-2 + (-12)/o) + 99. Factor f**3 + 45*f**2 + 75*f + 4*f**3 - i - 23.
5*(f - 1)*(f + 5)**2
Let v be (2 + 260/(-120))/(-1). Let x(h) be the second derivative of 0*h**3 - 1/10*h**5 + 0*h**2 + 0 + v*h**4 + 16*h. Factor x(m).
-2*m**2*(m - 1)
Suppose -f + 15 = m + 8, -3*m = 5*f - 31. Suppose 2*g = 3*g - 4. Factor 16*k**3 - g*k**m - 24*k**3 + 10*k**3.
2*k**2*(k - 2)
Suppose 324*t - 24 = 316*t. Let -349 - 3*i**t - 6*i**2 - 12*i**2 + 3*i + 367 = 0. Calculate i.
-6, -1, 1
Solve -544/5 - 2/5*v**2 + 144/5*v = 0 for v.
4, 68
Solve 28*d - 288/5 + 2/5*d**2 = 0.
-72, 2
Let v be (-242 + 247)/(1 + 14/(-24)). Let t(l) = -7*l**2 + 84*l + 2. Let m be t(v). Determine s, given that 1/3*s**m - 2/3 + 1/3*s = 0.
-2, 1
Let -4*p**2 + 73 + 54*p - 257 + 22 + p**2 + 27 = 0. What is p?
3, 15
What is o in 10*o**5 - 54*o**4 + 32 + 6*o + 4*o + 2*o + 458*o**3 - 146*o**2 - 648*o**3 = 0?
-1, 2/5, 8
Let x(s) be the second derivative of 51/100*s**5 - 3/5*s**2 - 31/30*s**3 + 3/50*s**6 - 23/60*s**4 + 2 + 69*s. Factor x(o).
(o - 1)*(o + 6)*(3*o + 1)**2/5
Let q(x) be the third derivative of x**5/12 + 10*x**4/3 + 65*x**3/2 - 2*x**2 + 1191*x. Factor q(f).
5*(f + 3)*(f + 13)
Let r(t) be the first derivative of t**5/5 + 9*t**4/4 - 38*t**2 - 96*t + 179. Find i such that r(i) = 0.
-8, -2, 3
Let q(p) = -18*p**2 + 2860*p - 2877. Let u(t) = 7*t**2 - 1431*t + 1438. Let j(r) = -2*q(r) - 5*u(r). Factor j(z).
(z - 1)*(z + 1436)
Determine i so that -224/13*i**3 - 118/13*i**5 - 350/13*i**4 + 0*i + 8/13*i**2 + 0 = 0.
-2, -1, 0, 2/59
Let q be 34/153*((-1578)/(-10))/(-3). Let b = 32/45 - q. Determine s, given that -8/5*s**2 + b*s + 16/5 = 0.
-1/4, 8
Factor -17/6*p + 5 + 1/6*p**2.
(p - 15)*(p - 2)/6
Let w be 36/180 - (-6)/(-30). Suppose 18 = 5*f - 2*g - g, -2*g = -f + 5. Solve w*m + 1/2*m**4 + 4/3*m**2 + 7/3*m**f + 0 = 0 for m.
-4, -2/3, 0
Let x(q) = -2*q**3 + q**2 + q + 43. Let c be x(0). Suppose -3*o**2 + c + 166*o - 94*o + 32 = 0. What is o?
-1, 25
Let y(b) be the second derivative of -b**5/4 - 17*b**4/3 - 33*b**3/2 - 18*b**2 + 182*b. Factor y(x).
-(x + 1)*(x + 12)*(5*x + 3)
Let o = -4146 + 4150. Let c(d) be the second derivative of 1/15*d**o + 0 + 8/5*d**2 - 8/15*d**3 + 3*d. Suppose c(m) = 0. What is m?
2
Let i(a) be the first derivative of 1734*a - 92 + 2/9*a**3 + 34*a**2. Factor i(u).
2*(u + 51)**2/3
Let a(j) be the first derivative of 3*j**5/5 - 89*j**4/2 + 1708*j**3/9 - 788*j**2/3 + 448*j/3 - 9991. Solve a(h) = 0 for h.
2/3, 2, 56
Let g(t) be the second derivative of t**6/420 + t**5/210 - 2*t**4/21 - 4*t**3/7 + 103*t**2/2 - 149*t. Let d(h) be the first derivative o