49/4 + 1/4*z**4 - 79*z**3 - 12403*z + 12639/2*z**2.
(z - 157)**2*(z - 1)**2/4
Solve 848241/4 + 921/2*f + 1/4*f**2 = 0.
-921
Let v(z) be the third derivative of 0*z + 0 + 205*z**2 + 3/2*z**3 - 1/8*z**4 - 3/20*z**5 + 1/40*z**6. Suppose v(y) = 0. What is y?
-1, 1, 3
Let y(g) = g**3 + 20*g**2 - 52*g + 4. Let a be y(-23). Let p = a + 392. What is n in 0*n + 0*n**2 + 0*n**4 - 3/2*n**3 + 3/2*n**p + 0 = 0?
-1, 0, 1
Let c(w) = 9*w**2 - 222*w + 210. Let t(r) = 11*r**2 - 223*r + 205. Let v(u) = -5*c(u) + 6*t(u). Suppose v(b) = 0. What is b?
6/7, 10
Factor -3 - 83*g**2 + 3 - 175428*g + 387*g**2 + 175427*g.
g*(304*g - 1)
Let b(i) be the first derivative of i**5/5 + 355*i**4/4 + 3694. Factor b(x).
x**3*(x + 355)
Let r(f) = 6*f**2 + 91*f + 47. Let x be r(-15). Let m be -61*4/x - -8. Factor 9/4 + m*i**2 + 15/8*i.
3*(i + 2)*(i + 3)/8
Suppose -5*m + 8 + 2 = 0. Let -49*c - 99*c**4 - 145*c**2 + 128*c**2 + 114*c**m + 92*c**2 + 18 + 178*c + 30*c**5 - 51*c**3 = 0. Calculate c.
-1, -1/2, -1/5, 2, 3
Solve -10498*g**2 - 12792*g - 211827 + 2*g**5 - 316*g**4 + 12790*g**3 + 236163 - 13522*g**2 = 0 for g.
-1, 1, 2, 78
Let y(b) be the first derivative of -b**5/15 + 15*b**4/2 + 944. Determine g so that y(g) = 0.
0, 90
Let i be (-14)/(-2) - ((-1104)/5796 - (-1426)/210). Factor i*z**5 - 4/5*z**4 + 0*z**3 + 0*z**2 + 0*z + 0.
2*z**4*(z - 2)/5
Let y(f) = 2*f**3 - 291*f**2 + 9504*f + 31098. Let t(v) = -2*v**3 + 294*v**2 - 9504*v - 31096. Let i(r) = -3*t(r) - 4*y(r). Factor i(b).
-2*(b - 72)**2*(b + 3)
Suppose 8*b + 87379 = 87395. Factor -5/4*q + 1/4*q**b - 3/2.
(q - 6)*(q + 1)/4
Let b = 1003/5456 - 1/496. Determine d so that 0*d + b*d**2 - 2/11*d**3 + 0 = 0.
0, 1
Let v(b) be the second derivative of 49*b**6/15 + 623*b**5/10 - 5767*b**4/6 + 1609*b**3/3 - 114*b**2 - 1621*b. Find q, given that v(q) = 0.
-19, 1/7, 6
Let q(d) = -85*d + 84*d + d**2 - 4 + 2 + 1. Let u(k) = 8*k**2 + 7*k + 7. Let r(x) = 5*q(x) - u(x). Factor r(p).
-3*(p + 2)**2
Suppose -l - 5*k + 57 = 0, -10*k = -14*k + 20. Let g be 6/l*(-20)/(-15). Suppose -g*c + 1/4*c**3 + 1/4 - 1/4*c**2 = 0. What is c?
-1, 1
Let k(c) be the first derivative of c**5/25 - 9*c**4/20 + 8*c**3/15 - 973. Factor k(d).
d**2*(d - 8)*(d - 1)/5
Let 193*c**2 - 590*c**2 - 1594323 + 201*c**2 - 344*c - 4030*c + 193*c**2 = 0. What is c?
-729
Let m(z) be the first derivative of -z**7/84 + 2*z**6/45 + 79*z**5/60 + 5*z**4/2 - 6*z**3 + z**2 + 30. Let v(g) be the third derivative of m(g). Factor v(w).
-2*(w - 5)*(w + 3)*(5*w + 2)
Suppose 2*f + 5 = -4*n + 3, 3*n = 2*f + 2. Let h be (-11 + 17)/((0 + f)*-2). Factor -6/5*w**h + 0 - 4/5*w**2 + 0*w - 2/5*w**4.
-2*w**2*(w + 1)*(w + 2)/5
Let d be (24*-1 - 0)*25. Let w be -8*10/d*5/3. Factor 0*l - w*l**2 + 8/9.
-2*(l - 2)*(l + 2)/9
Let h = -355/3152 + 69/394. Let j(r) be the first derivative of 5/8*r**2 + 0*r - 2 - h*r**4 + 1/3*r**3. Determine l, given that j(l) = 0.
-1, 0, 5
Let b = 9665/16 - 713165/1232. Let s = b - 252/11. Find q, given that 0 + s*q**3 - 20/7*q**2 - 4/7*q**4 + 8/7*q = 0.
0, 1, 2
Let h be 11236/(-848) + -5 + 22 + 3. Let -h*j**2 + 15/4 + 9/2*j - 3/2*j**3 = 0. What is j?
-5, -1/2, 1
Suppose -21 - 15 = -12*v. Find f such that -2*f**2 - f**3 + 8*f**3 - f**4 - 10*f**3 + v*f**4 = 0.
-1/2, 0, 2
Factor -14/3*i**3 + 1/12*i**5 - 7/3 + 1/6*i**2 + 13/6*i**4 + 55/12*i.
(i - 1)**3*(i + 1)*(i + 28)/12
Let j(o) be the first derivative of -o**6/48 + 41*o**5/20 - 199*o**4/4 - 482*o**3/3 + 399*o**2 + 1764*o + 3602. Suppose j(c) = 0. Calculate c.
-2, 2, 42
Let i(o) = o**2 - 6*o + 2. Let g be i(7). Suppose -g*c = -5*c - 8. Factor 5*b**2 - 3*b**c + 6 - 4*b**2 + 4*b.
-2*(b - 3)*(b + 1)
Let n(g) = -g**3 + 37*g**2 + 396*g + 833. Let x be n(46). What is i in -53/5*i + 2 + 49/5*i**2 + 17/5*i**3 - 19/5*i**4 - 4/5*i**x = 0?
-5, -2, 1/4, 1
Suppose 669 = 11*w + 669. Let u(k) be the third derivative of w*k + 2/15*k**6 + 1/18*k**4 - k**2 - 1/6*k**5 - 11/315*k**7 + 0 + 0*k**3. Solve u(y) = 0 for y.
0, 2/11, 1
Let s = -44 + 62. Suppose 4*z - 3*z - 5 = -g, -3*g + s = 4*z. Factor -z*f**4 - 3*f**2 + 3*f**5 + 11*f**2 - 2*f**2 - 6*f - 9*f**3 + 9*f**2.
3*f*(f - 1)**3*(f + 2)
Suppose 545*m - 542*m + 4*k = -19, 0 = -m + 2*k + 17. Factor 12 + 9/2*z - 75/4*z**2 + 9/4*z**m.
3*(z - 8)*(z - 1)*(3*z + 2)/4
Let m(i) be the first derivative of i**5/40 - 5*i**4/24 + i**3/3 + 69*i + 161. Let v(p) be the first derivative of m(p). Factor v(b).
b*(b - 4)*(b - 1)/2
Factor -551*u**4 + 1103*u**4 + 553*u**2 - 553*u**4 - 544*u**2.
-u**2*(u - 3)*(u + 3)
Let l(o) be the first derivative of -7/13*o**2 + 12/13*o + 0*o**3 + 186 + 1/26*o**4. What is h in l(h) = 0?
-3, 1, 2
Let i(o) be the first derivative of o**7/40 - o**6/80 + 17*o**2/2 + 2*o - 11. Let h(u) be the second derivative of i(u). Factor h(j).
3*j**3*(7*j - 2)/4
Let n = 320 + -316. Find y, given that 25*y**3 - 45*y + 4*y**2 - 5*y**n - 19*y**2 + 0*y**2 = 0.
-1, 0, 3
Let n(v) be the second derivative of 3*v - 5/12*v**4 + 3 - 115/6*v**3 + 0*v**2. Let n(m) = 0. What is m?
-23, 0
Let l be (-4276)/3207*1/(-4). Factor -1/6*m**2 + 0 - l*m.
-m*(m + 2)/6
Let b(p) = p**3 + 7*p**2 - 228*p + 1. Let n be b(-19). Let c(a) be the second derivative of 8/3*a**2 + 7*a - 7/36*a**4 + 4/9*a**3 + 1/60*a**5 + n. Factor c(l).
(l - 4)**2*(l + 1)/3
Suppose -2*d + 5*o = -1, 465*o - 467*o - 4 = -2*d. Suppose 15/7*y**d - 9/7*y + 0 - 6*y**2 = 0. Calculate y.
-1/5, 0, 3
Let z be (-2)/4*(49 - 24 - 25). Let h(m) be the third derivative of 0*m**3 + 1/390*m**5 - 10*m**2 - 1/39*m**4 + z + 0*m. Factor h(v).
2*v*(v - 4)/13
Let f be (-234)/(-65) + -5 + 147/105. Suppose -4/5*m - 4/5*m**4 + f + 4/5*m**2 + 4/5*m**3 = 0. Calculate m.
-1, 0, 1
Let t(w) be the second derivative of w**7/2940 + w**6/252 + w**5/105 - w**3/2 - 3*w**2/2 - 2*w - 3. Let m(a) be the second derivative of t(a). Factor m(f).
2*f*(f + 1)*(f + 4)/7
Let x(u) be the third derivative of u**5/360 - 19*u**4/144 - 5*u**3/9 - 41*u**2 - 2. Let x(l) = 0. Calculate l.
-1, 20
What is y in -81*y - 4*y + 137*y + 2*y**2 + 130*y + 82*y = 0?
-132, 0
Let v(x) be the second derivative of x**7/630 - x**6/45 - x**5/6 + 11*x**4/4 + 49*x + 1. Let b(p) be the third derivative of v(p). Let b(m) = 0. What is m?
-1, 5
Let f(y) be the first derivative of -5*y**6/2 - 47*y**5/2 + 95*y**4/2 + 565*y**3/6 - 50*y**2 - 90*y - 3277. Find x, given that f(x) = 0.
-9, -1, -1/2, 2/3, 2
Factor -1/6*y**3 + 11/6*y**2 - 23/6*y - 35/6.
-(y - 7)*(y - 5)*(y + 1)/6
Let n(t) be the first derivative of 25*t**6/9 + 3*t**5 - 5*t**4/4 - 10*t**3/9 - 1602. What is u in n(u) = 0?
-1, -2/5, 0, 1/2
Suppose 5*p - 54 = -2*d + p, -86 = -3*d - 5*p. Let j = -35 + d. Factor -15 - 5 - 1276*t**2 + 1271*t**j - 25*t.
-5*(t + 1)*(t + 4)
Solve 0 - 6*d**3 - 324/7*d + 62/7*d**4 - 414/7*d**2 + 2*d**5 = 0.
-3, -1, 0, 18/7
Let t(c) be the third derivative of c**5/12 - 5*c**4/4 - 8*c**2 - 8. Suppose t(j) = 0. Calculate j.
0, 6
Let d = -3201/2 + 1603. Let n(i) be the second derivative of 3/20*i**5 - 9/2*i**2 + 0 - d*i**3 - 9*i - 1/4*i**4. Factor n(q).
3*(q - 3)*(q + 1)**2
Let m be (-90174)/95 + (-1 - (-4)/20). Let c = m - -2852/3. Factor 28/9*y - 8/9*y**3 - c - 14/9*y**2.
-2*(y - 1)*(y + 3)*(4*y - 1)/9
Factor -26320*v - 198810 - 985/2*v**2 - 5/2*v**3.
-5*(v + 9)*(v + 94)**2/2
Factor -5/2*v**3 + 185/2*v + 25*v**2 + 65.
-5*(v - 13)*(v + 1)*(v + 2)/2
Let n be (4/(-10))/(7/(-5)). Let j = -1429 - -10005/7. Factor -j*v + n*v**2 + 0.
2*v*(v - 1)/7
Let q(f) be the first derivative of 2*f**3/3 + 29*f**2 + 108*f - 1250. Find m such that q(m) = 0.
-27, -2
Let -6*w**4 + 310 - 1255 + 320 + 16*w**3 - 56*w + 315 + 22*w**2 + 334 = 0. What is w?
-2, 2/3, 1, 3
Let o(y) = 46*y + 252. Let x be o(-6). Let t(i) = 2*i + 50. Let s be t(x). Determine q, given that 0*q + 0 + 2/13*q**4 - 8/13*q**3 + 8/13*q**s = 0.
0, 2
Let m be ((-8 - (1 + 3)) + (-2680)/(-240))*(-8)/10. Suppose -m*h**3 + 6*h + 6 - 2/3*h**2 = 0. What is h?
-3, -1, 3
Find m, given that 30009 + 90*m**3 - 90*m - 547*m**2 - 29442 - 3*m**4 - 17*m**2 = 0.
-1, 1, 9, 21
Let w(r) be the first derivative of -39*r**2 - 12*r - 31 + 303/8*r**4 + 21*r**5 - 31*r**3 - 49/4*r**6. Suppose w(y) = 0. What is y?
-1, -2/7, 1, 2
Let m be (-4)/(28 + -48) + 10/75. Find x, given that -m*x**4 - 16/3 + x**2 + 22/3*x - 8/3*x**3 = 0.
-8, -2, 1
Let b(n) = -10*n**2 + 408*n + 2810. Let i be b(-6). Determine k so that -2/11*k**i + 6/11 + 4/