*(j + 5)/4
Let m be (4 - 6 - 6)*(4 - 5). Find y such that -20*y**2 - 3*y**3 + 86*y + m*y**3 - 61*y - 10 = 0.
1, 2
Let v(h) be the first derivative of -3*h**4/4 + 46*h**3 + 3984. Factor v(s).
-3*s**2*(s - 46)
Let o(l) = -l**3 + 2*l**3 - 2 - 8 + 13 - l**2 + 4*l. Let g(i) = i**2 - 4*i - 3. Let q(m) = 3*g(m) + 2*o(m). Determine z so that q(z) = 0.
-1, 3/2
Let p(u) = -2*u + 16. Let m be p(7). Suppose 5*i + 4*w = 2, 0*i - 4*i + m*w = -12. What is r in 0 + 2/7*r**i + 0*r - 10/7*r**3 = 0?
0, 1/5
Let t be 4/(-6) - (-1)/((-6)/8). Let n be 0/((-4)/2) - t. Factor -1/5*k + 0 - 1/5*k**n.
-k*(k + 1)/5
Let m = -323 + 327. Determine i so that 81*i + 27 + 90*i**2 + 0*i**4 - 648*i**5 + 649*i**5 + 46*i**3 + 11*i**m = 0.
-3, -1
Let f = -262281/4 - -65574. Solve -2 - f*o - 3/2*o**2 + 1/4*o**3 = 0.
-1, 8
Suppose 0 = -x + 60 - 1. Let v = x - 51. Find g such that v*g**2 - 35*g + 142 - 150 + 7*g + 28*g**3 = 0.
-1, -2/7, 1
Let z(i) be the second derivative of i**7/35 - 29*i**6/25 + 153*i**5/50 + 89*i**4/10 - 44*i**3 + 324*i**2/5 + i - 165. Let z(y) = 0. What is y?
-2, 1, 2, 27
Let r(d) be the first derivative of 0*d**3 + 2/5*d**5 - 49 + 1/3*d**6 + 0*d**4 + 0*d + 0*d**2. Factor r(o).
2*o**4*(o + 1)
Let m(j) = -j**2 - 5*j + 3. Let w be m(-5). Let p = -55776 - -111553/2. Factor -1/2*s**2 - p*s**w + 1/2*s + 0 + 1/2*s**4.
s*(s - 1)**2*(s + 1)/2
Let n = -1/3136 + 785/3136. Let u(f) be the second derivative of 18*f + 0 + 5/6*f**3 + 1/6*f**6 - 5/12*f**4 + 0*f**2 - n*f**5. Factor u(c).
5*c*(c - 1)**2*(c + 1)
Let j = -46 + 43. Let r(t) = t**5 - 2*t**4 + t**2 + t + 1. Let q(p) = 8*p**5 - 20*p**4 + 7*p**2 + 7*p + 7. Let u(g) = j*q(g) + 21*r(g). Factor u(m).
-3*m**4*(m - 6)
Let b(x) be the first derivative of 2*x**5/55 - 5*x**4/22 + 2*x**3/11 + 9*x**2/11 - 1662. Factor b(d).
2*d*(d - 3)**2*(d + 1)/11
Suppose 1528823808 + 21233664*l + 2/9*l**4 + 110592*l**2 + 256*l**3 = 0. What is l?
-288
Find g, given that 1/4*g**2 + 370 - 371/2*g = 0.
2, 740
Let m(y) be the first derivative of 7*y**4/2 + y**3/3 + 3*y**2 - 7*y - 34. Let q be m(2). What is l in -250 + 125 - 12*l**3 + q - 20*l - 28*l**2 = 0?
-1, -1/3
Let m = -448 + 450. Solve m*f**2 + 248*f + 26 - 270*f - 6 = 0 for f.
1, 10
Let t(g) be the first derivative of 3*g**4/14 + 997*g**3/21 + 20750*g**2/7 + 6889*g/7 + 3349. Let t(u) = 0. What is u?
-83, -1/6
Let s = -1115/6 + 1135/6. Factor -2/3*w**2 - 4 + s*w.
-2*(w - 3)*(w - 2)/3
Suppose 12 + 426 = 2*p + 4*a, -4*p + 921 = -a. Suppose f - p = -4*v, -2*v - f - 58 = -171. Factor 3*j**3 - 43*j + v*j + 0*j**3 + 60*j + 30*j**2.
3*j*(j + 5)**2
Let x(s) = -3*s**5 - 14*s**4 - 17*s**3 + 6*s**2 + 25*s + 4. Let j(n) = -n**5 - 2*n**4 - n**3 - 2*n**2 - 5*n. Let f(i) = 3*j(i) + x(i). Factor f(t).
-2*(t + 1)**4*(3*t - 2)
Factor 11*i**3 - 307 + 1355*i - 55*i**3 + 1640*i**2 + 27*i**3 + 92*i**3 + 97.
5*(i + 1)*(i + 21)*(15*i - 2)
Factor -18/17 + 70/17*g**2 + 96/17*g + 12/17*g**3.
2*(g + 3)**2*(6*g - 1)/17
Let v(i) be the second derivative of -i**7/1400 + i**6/300 + 3*i**5/200 - 6*i**3 + i + 22. Let c(y) be the second derivative of v(y). Factor c(b).
-3*b*(b - 3)*(b + 1)/5
Let a(h) be the first derivative of h**5/240 + h**4/96 - h**2/2 - 7*h - 49. Let o(p) be the second derivative of a(p). Suppose o(n) = 0. What is n?
-1, 0
Let y(m) = -11*m + 265 - 70 - 22*m**2 - 149. Let k(i) = -5*i**2 - 3*i + 11. Let s(z) = -26*k(z) + 6*y(z). Determine n so that s(n) = 0.
1, 5
Let g(i) be the second derivative of -i**7/147 - 10*i**6/21 - 459*i**5/70 + 2047*i**4/21 - 1184*i**3/3 + 672*i**2 + 66*i - 3. What is o in g(o) = 0?
-28, 1, 2, 3
Let l = -4597 + 4603. Let b(d) be the second derivative of -5/36*d**3 + 0 - 5/72*d**4 + 5/6*d**2 - l*d. Factor b(z).
-5*(z - 1)*(z + 2)/6
Factor -87/4*d - 93/2 + 3/4*d**2.
3*(d - 31)*(d + 2)/4
Let q(w) be the second derivative of 3/8*w**4 + 1/12*w**3 + 0 + 86*w - 1/40*w**5 - 9/4*w**2. Solve q(x) = 0 for x.
-1, 1, 9
Let o(s) be the second derivative of s**7/105 - 8*s**6/75 + 13*s**5/50 + s**4 - 24*s**3/5 - 233*s + 7. Let o(t) = 0. Calculate t.
-2, 0, 3, 4
Factor -1/7*q**2 - 4*q - 75/7.
-(q + 3)*(q + 25)/7
Let r(d) be the second derivative of d**6/210 - d**5/70 - 20*d**4/21 + 830*d + 2. Factor r(v).
v**2*(v - 10)*(v + 8)/7
Factor -120*a**2 - 342*a**4 + 16*a**3 - 347*a**4 - 330*a**4 + 1024*a**4 - 6*a**3.
5*a**2*(a - 4)*(a + 6)
Let v(y) = 3*y**2 + 26*y - 83. Let k(m) = -m**2 - m - 1. Let h(n) = -4*k(n) - v(n). Let l be h(17). What is p in -1 + 1/2*p**l + 1/2*p = 0?
-2, 1
Let a(h) be the first derivative of -1/33*h**3 + 48/11*h + h**2 + 59. What is j in a(j) = 0?
-2, 24
Let r(u) be the first derivative of 4*u**5/5 - 9*u**4 - 332*u**3/3 + 378*u**2 - 392*u + 4337. Factor r(c).
4*(c - 14)*(c - 1)**2*(c + 7)
Let h be (-15228)/(-52) - 4/(-26). Suppose 0 = 7*y - 15*y + 16. Factor 292*j - j**4 + j**y + j**3 - 3 + 3 - h*j.
-j*(j - 1)**2*(j + 1)
Let y(z) = -6 - z - 7 + 7 + 7. Let g(d) = 2*d**2 + 69*d + 507. Let u(j) = g(j) + 5*y(j). Factor u(t).
2*(t + 16)**2
Let g be (15 + 5)*99/5313 + 4/(-46). Solve 12/7 - g*p**2 - 10/7*p = 0 for p.
-6, 1
Let q(z) be the first derivative of -3*z**6/2 + 102*z**5/5 + 99*z**4/2 - 8*z**3 - 189*z**2/2 - 78*z - 512. Find y such that q(y) = 0.
-1, -2/3, 1, 13
Let o(c) = -c**3 + 116*c**2 - 162*c - 7524. Let t be o(114). Determine f, given that 2/11*f**2 + 38/11*f + t = 0.
-19, 0
Let z(g) = -5*g**4 + 27*g**3 - 8*g**2 - 12*g - 6. Let o(v) = 26*v**4 - 136*v**3 + 41*v**2 + 58*v + 33. Let x(h) = 6*o(h) + 33*z(h). Factor x(c).
-3*c*(c - 8)*(c - 1)*(3*c + 2)
Let k(c) be the second derivative of 1/14*c**7 + c**4 + 3*c + 0*c**2 + 2*c**3 - 9/20*c**5 - 1/5*c**6 + 30. Solve k(r) = 0.
-1, 0, 2
Suppose 2740 = -0*f - 5*f. Let r = f - -551. Factor 4/3*h + 8/3 - 4/3*h**r - 8/3*h**2.
-4*(h - 1)*(h + 1)*(h + 2)/3
Find k such that -400*k - 364/3*k**3 + 1862*k**4 - 3208/3*k**2 - 128/3 - 686/3*k**5 = 0.
-2/7, 1, 8
Factor 0 + 1316/3*j**2 + j**3 - 439/3*j.
j*(j + 439)*(3*j - 1)/3
Let c(v) be the third derivative of v**7/105 + 43*v**6/60 + 206*v**5/15 + 55*v**4 + 2*v**2 - 7*v + 37. Factor c(z).
2*z*(z + 2)*(z + 11)*(z + 30)
Let t(l) be the third derivative of l**7/2205 + l**6/60 + 109*l**5/630 + 53*l**4/84 + 10*l**3/9 - 322*l**2. Let t(c) = 0. Calculate c.
-14, -5, -1
Let x(f) be the second derivative of f**7/315 + f**6/72 + f**5/60 + f**4/12 - 25*f**2 - 118*f. Let v(z) be the third derivative of x(z). Factor v(h).
2*(h + 1)*(4*h + 1)
Suppose -2850 + 12014*n**2 + 4*n**5 + 288*n**3 - 10302*n**2 + 384*n - 84*n**4 + 546 = 0. What is n?
-2, 1, 12
Let n(d) be the second derivative of -27/2*d**2 + 24*d + 1/12*d**3 + 0 - 1/10*d**5 + 1/48*d**4. Let l(r) be the first derivative of n(r). Factor l(k).
-(3*k - 1)*(4*k + 1)/2
Let q = 384593 - 384590. Let -2/3*t**5 + 16/3*t - 28/3*t**2 + 2*t**q + 0 + 8/3*t**4 = 0. What is t?
-2, 0, 1, 4
Let h be 4/(-26) + ((-3)/(-36) - 8003/(-74412)). Let q(b) be the second derivative of 0 - h*b**4 + 1/90*b**5 + 0*b**2 + 1/27*b**3 - 10*b. Factor q(s).
2*s*(s - 1)**2/9
Let o be ((-2)/4 + -1)/((-36)/48). Let -52802 - o*p**2 - 28*p + 52802 = 0. Calculate p.
-14, 0
Let y(h) be the third derivative of 69*h**2 - 1/40*h**6 - 19/8*h**4 + 0*h + 0 + 6*h**3 + 2/5*h**5. Factor y(j).
-3*(j - 4)*(j - 3)*(j - 1)
Let m(s) be the third derivative of 0*s + 0 - 1/10*s**4 + 3/350*s**7 + 7/100*s**6 - 120*s**2 + 0*s**3 + 7/100*s**5. Suppose m(u) = 0. Calculate u.
-4, -1, 0, 1/3
Determine l, given that -12*l - 2*l**2 - 288 + 54*l**2 + 8*l**3 + 0*l**4 + 42*l**2 - 2*l**4 - 24*l**2 = 0.
-3, 2, 8
Determine h, given that 49*h**3 + 290 + 44*h - 242 - 6*h**2 - 51*h**3 = 0.
-6, -1, 4
Let s(f) be the first derivative of -35/2*f**2 - 23 + 15*f**3 - 25/4*f**4 + f**5 + 10*f. Factor s(p).
5*(p - 2)*(p - 1)**3
Let g = 7192116/19 - 378530. Factor -2/19*z**3 + g*z**2 - 288/19 - 240/19*z.
-2*(z - 12)**2*(z + 1)/19
Let r(w) be the first derivative of 4*w**3/15 - 11176*w**2/5 + 31225744*w/5 + 6016. Solve r(j) = 0.
2794
Let l(d) = -d**3 + 3*d**2 + 21*d - 16. Let k be l(6). Suppose 211*u - 223*u + u**2 - 4*u**k = 0. What is u?
-4, 0
Suppose 168 = -10*h + 158. Let n(u) = 7*u**4 + 4*u**3 - 9*u**2 + 10*u + 4. Let s(f) = f**4 + f**3 - f**2 + f. Let g(k) = h*n(k) + 6*s(k). Factor g(w).
-(w - 2)**2*(w + 1)**2
Let p(k) be the third derivative of -k**7/42 + 31*k**6/24 - 155*k**5/12 + 625*k**4/24 - 9436*k**2. Find z such that p(z) 