 s + 12/5*h**4 - 6/5*h**2 - v*h = 0.
-1, -1/2, 0, 2/3
Suppose y - 2*p + 6 = 0, -y = -0*y + p - 3. Let m(q) be the second derivative of y*q**3 + 1/12*q**4 + 1/20*q**5 + 0 - 7*q + 0*q**2. Factor m(f).
f**2*(f + 1)
Let b be (2/3)/(13/(-3)) - (-1394)/9061. Solve b + 6/7*h**2 - 4/7*h**3 - 2/7*h = 0.
0, 1/2, 1
Let w(v) be the first derivative of v**4/4 + 2*v**3/3 - 15*v**2/2 - 36*v - 81. Let w(o) = 0. What is o?
-3, 4
Let v(f) be the third derivative of -f**4/12 - 2*f**3/3 - 4*f**2. Let s be v(-4). Factor 3*b - b**2 - s*b + 0*b.
-b*(b + 1)
Factor 1/2*w**4 + 5*w + 0 - 13/2*w**2 + w**3.
w*(w - 2)*(w - 1)*(w + 5)/2
Let m(w) be the first derivative of -w**4/30 - 2*w**3/15 + 4*w**2/15 + 594. Let m(n) = 0. Calculate n.
-4, 0, 1
Let t(y) = -70*y**3 - y**2 - 3*y - 2. Let n be t(-1). Let d be 2/5 - (-72)/n. Let -2*w**2 + 0 - 22/7*w**3 - 2/7*w - d*w**4 = 0. Calculate w.
-1, -1/5, 0
Let o(t) = -t**3 - 5*t**2 + 5*t - 4. Suppose 3*p + 3*h + 14 = -h, -4*h = 4*p + 20. Let m be o(p). Factor 2*y**m - y - 2 + 3 + 9*y**3 - 3 - 8*y.
(y - 1)*(y + 1)*(9*y + 2)
Let n(i) = -10*i**2 + 102*i + 100. Let u(y) = 18*y**2 - 205*y - 202. Let t(r) = -7*n(r) - 4*u(r). Factor t(m).
-2*(m - 54)*(m + 1)
Let j(b) = b**2 + 2*b + 2. Let s be j(0). Let l(t) be the second derivative of 1/6*t**4 - 6*t + 0 + 0*t**s - 1/20*t**5 - 1/15*t**6 + 1/6*t**3. Solve l(k) = 0.
-1, -1/2, 0, 1
Let q = 36 - 17. Let g = q + -13. Factor 2*m**2 + 8*m**2 - g*m**2 - 3*m**3 + 9*m**3.
2*m**2*(3*m + 2)
Let m(p) = p**3 - 6*p**2 + 6*p - 14. Let c be m(4). Let x be 3 - -1 - (26 + c). Factor 0 + x*j**2 + 4/5*j**4 - 2/5*j**3 + 0*j - 2/5*j**5.
-2*j**3*(j - 1)**2/5
Let z(y) be the third derivative of 2*y**7/105 - 11*y**6/30 + 2*y**5/3 - y**2 + 242. Factor z(d).
4*d**2*(d - 10)*(d - 1)
Let w(z) be the first derivative of z**3/15 - 9*z**2/5 - 294. Factor w(f).
f*(f - 18)/5
Let b(a) be the first derivative of -a**4/4 + 3*a**3 - 11*a**2/2 - 21*a + 128. Suppose b(h) = 0. What is h?
-1, 3, 7
Let t be ((-8)/(-7))/(9*(-16)/(-252)). Factor -4/3*a**4 + 0 - 4*a**3 + 4/3*a**t + 4*a.
-4*a*(a - 1)*(a + 1)*(a + 3)/3
Let u(l) = -33*l**4 - 255*l**3 - 441*l**2 - 108*l. Let f(o) = -17*o**4 - 128*o**3 - 221*o**2 - 54*o. Let p(d) = 9*f(d) - 4*u(d). Find x, given that p(x) = 0.
-3, -2/7, 0
Let u(p) be the third derivative of 4*p**2 + 0*p - 1/330*p**5 - 5/33*p**3 + 0 - 1/22*p**4. Factor u(d).
-2*(d + 1)*(d + 5)/11
Let c(r) be the second derivative of 25*r**7/28 - r**6/2 - 117*r**5/40 + r**4 + 4*r**3 - 619*r. Solve c(i) = 0 for i.
-4/5, 0, 1
Suppose -22*a = -35*a + 39. Let 20*v**2 - v**3 - 4*v**4 - 16*v**a + 16*v - 3*v**3 - 86 + 4*v**5 + 70 = 0. Calculate v.
-2, -1, 1, 2
Let w be 0 + 13 + -3*(-777)/(-189). Determine x, given that -7/3*x**3 - x + 4*x**2 - w = 0.
-2/7, 1
Factor -5 - 65/6*g**2 + 77/6*g + 19/6*g**3 - 1/6*g**4.
-(g - 15)*(g - 2)*(g - 1)**2/6
Factor 559*a**3 + 0*a**4 + 57*a**2 - 13 + 1 - 32*a + 4*a**4 - 586*a**3 + 0*a**4.
(a - 3)*(a - 2)**2*(4*a + 1)
Determine l, given that -2/3*l**3 + 0 - 2048/3*l - 128/3*l**2 = 0.
-32, 0
Let b be (9/6)/((-5)/90). Let i be (-2)/9 + (-222)/b. Let -16*u + 24*u**2 - 2 - 4 + i = 0. What is u?
1/6, 1/2
Factor -7*y + 15*y - 7*y + 19*y + 4*y**2.
4*y*(y + 5)
Let z(i) be the second derivative of -i**5/70 - 53*i**4/21 - 209*i**3/21 - 104*i**2/7 - 24*i - 12. Let z(l) = 0. Calculate l.
-104, -1
Let j(d) be the third derivative of 0*d - 1/140*d**6 + 1/28*d**4 + 1/490*d**7 + 14*d**2 + 0*d**3 + 0 - 1/140*d**5. Factor j(h).
3*h*(h - 2)*(h - 1)*(h + 1)/7
Let i be (-36)/(-10) + (-171 - -168). Solve 3/5 + i*z**2 + 6/5*z = 0.
-1
Let t = -25 - -28. Suppose 0*o**4 - 5*o**4 + 10*o + 5*o**t - 25*o**2 + 15*o**3 = 0. What is o?
0, 1, 2
Determine c, given that -2/5*c**2 + 8/5*c + 24 = 0.
-6, 10
Let w = -80 - -83. Factor 4*m**3 - 3*m**4 + m**3 - 2*m**3 + 0*m**w.
-3*m**3*(m - 1)
Suppose 101*m = -33*m - 1519 + 1519. Find o, given that 0*o**4 + m + 36/7*o - 27/7*o**3 + 12/7*o**2 + 3/7*o**5 = 0.
-3, -1, 0, 2
Let z(w) be the third derivative of -w**7/42 + 29*w**6/60 + 29*w**5/60 - 29*w**4/12 - 4*w**3 - 298*w**2. What is u in z(u) = 0?
-1, -2/5, 1, 12
Suppose -143*h + 47*h - 24 + 23*h + 29*h - 12*h**2 = 0. What is h?
-3, -2/3
Let n(p) = p**4 + p**3 - p**2 - p. Let f(d) = d**4 + 3*d**3 - 2*d**3 - 3*d + 6*d - d**2 - 4*d**5. Let w(h) = f(h) + 3*n(h). Solve w(b) = 0 for b.
-1, 0, 1
Suppose 21 = 7*c - 0*c. Find h such that 11*h + 7*h - c - 46*h**2 + 0 + 19*h**2 = 0.
1/3
Let x(z) = -15*z**4 - 12*z**3 + 93*z**2. Let n(l) = l**4 - l**3 - l**2. Suppose 15*c - 102 = 168. Let d(p) = c*n(p) + x(p). Factor d(y).
3*y**2*(y - 5)**2
Let r(j) = 305*j + 6 + 1 - 288*j - 1 - 3*j**2. Let m be r(6). Factor -6/5*l + m + 2/5*l**2.
2*l*(l - 3)/5
Let m(n) = 2*n**2 - 327*n - 1338. Let s be m(-4). Find g, given that 24/5*g**3 - 22/5*g**2 - s*g**4 + 7/5*g + 0 + 1/5*g**5 = 0.
0, 1, 7
Let -5 - 10/3*l + 5/3*l**2 = 0. Calculate l.
-1, 3
Let p(f) be the first derivative of f**4/8 - f**3 + 5*f**2/4 + 254. Factor p(z).
z*(z - 5)*(z - 1)/2
Let i be 1 - ((-1595)/20)/29 - 2/(-8). Find m, given that 0 - 2/3*m + 4/3*m**2 + 1/6*m**i - 5/6*m**3 = 0.
0, 1, 2
Let a(t) be the second derivative of t**5/90 - t**4/18 - 16*t**3/27 - 4*t**2/3 - t + 9. Find s, given that a(s) = 0.
-2, -1, 6
Let o be ((-1)/(-4))/(-160 + 145 + 247/16). Suppose -8/7*l + o*l**2 + 0 = 0. What is l?
0, 2
Let s(y) be the first derivative of -y**4/42 + y**3/21 + 2*y**2/7 - 5*y - 4. Let o(l) be the first derivative of s(l). Determine w, given that o(w) = 0.
-1, 2
Let k be 120/44 - (-72)/60*(-25)/(-110). Factor 0 + 0*m**k + 0*m**2 - 4/5*m**5 - 12/5*m**4 + 0*m.
-4*m**4*(m + 3)/5
Let b(z) = 2*z**2 + 4. Let y be b(-2). Let c(u) = 24*u**2 + 16*u - 12. Let k(s) = -s**2 - s + 1. Let i(a) = y*k(a) + c(a). Factor i(q).
4*q*(3*q + 1)
Suppose 0 = -2*h - 6 + 26. Let i be 1 + 8/5 + (-6)/h. Factor 0*q + 1/2*q**4 + 1/2*q**3 + 0*q**i + 0.
q**3*(q + 1)/2
Let h(x) = -8*x**5 - x**4 - 18*x**3 + 2*x**2 - 2*x - 15. Let d(v) = v**5 + v**4 + v**3 + 2*v + 1. Let w(y) = -14*d(y) - 2*h(y). Factor w(m).
2*(m - 2)**3*(m - 1)*(m + 1)
Let s be 0/(20/(-5)*(-1)/1). Factor 5*m**2 - 5/2*m**3 + 0 + s*m.
-5*m**2*(m - 2)/2
Factor 14/5*d - 8/5 + 72/5*d**2.
2*(4*d - 1)*(9*d + 4)/5
Let q(r) be the third derivative of -r**8/672 - r**7/420 + r**6/48 - r**5/40 + 2*r**2 - 144*r. Let q(u) = 0. What is u?
-3, 0, 1
Let y be ((16/168)/((-39)/182))/(4/(-18)). Solve 4/11*o**y - 2/11 - 2/11*o = 0 for o.
-1/2, 1
Let o(f) be the second derivative of 3/16*f**5 + 0*f**2 - 1/48*f**4 + 42*f - 19/120*f**6 - 1/12*f**3 + 0 + 1/24*f**7. Solve o(t) = 0.
-2/7, 0, 1
Let 8821 + 38*w**4 - 366*w**2 - 12*w**3 - 35*w**4 - 4988 + 756*w + 8074 = 0. Calculate w.
-7, 9
Let p be (2 - (-6)/(-9))*3. Find g, given that -3*g + 19*g + 434*g**p + 552*g**3 + 160*g**2 - 84*g**3 - 110*g**4 = 0.
-1, -2/9, 0
Let j(q) = 2*q**5 + 38*q**4 + 87*q**3 + 113*q**2 + 65*q + 18. Let s(b) = -b**5 + b**4 - b**3 + b**2 + 1. Let c(t) = j(t) - 3*s(t). Suppose c(i) = 0. What is i?
-3, -1
Let q(f) = 121*f**3 - 891*f**2 + 33*f + 55. Let u(m) = 30*m**3 - 223*m**2 + 8*m + 14. Let a(r) = 2*q(r) - 9*u(r). Factor a(g).
-(g - 8)*(4*g + 1)*(7*g - 2)
Factor 22/3*c**2 + 7/3*c**4 + 6*c**3 + 13/3*c + 1 + 1/3*c**5.
(c + 1)**4*(c + 3)/3
Factor -a**2 - 17 + 32*a + 65 - 37 - 42.
-(a - 31)*(a - 1)
Let h(d) = 8*d**4 + 13*d**3 - 3*d**2 - 62*d - 26. Let c(x) = 7*x**4 + 14*x**3 - 3*x**2 - 62*x - 28. Let a(k) = 7*c(k) - 6*h(k). Factor a(r).
(r - 2)*(r + 1)**2*(r + 20)
Let i(h) = 62*h**2 - 23*h**2 - 2*h + 8 - 22*h**2 - 18*h**2. Let s be i(-4). Let s - 1/2*f**2 - f = 0. What is f?
-2, 0
Suppose -2*v - 4*u - 29 = -1, -2*u - 2 = -2*v. Let a be v/10 - (-12)/30. Factor 3*s - 3*s**2 + a*s**2 - 2*s + 3*s**3 + 0*s - s**4.
-s*(s - 1)**3
Let i(b) = b**3 - 60*b**2 - 326*b - 5. Let o be i(-5). Determine g, given that 1/3*g**3 - 1/3*g + 1/9*g**4 - 1/9*g**2 + o = 0.
-3, -1, 0, 1
Let k be 2*(-12)/16 - 247/(-130). Find u, given that 6/5 + 14/5*u + k*u**3 + 2*u**2 = 0.
-3, -1
Let s be 5 - ((-48)/(-26) + 6/39). Let q(f) be the first derivative of -f**s + 3/4*f**4 - 3/2*f**2 + 3/5*f**5 + 0*f + 2. Suppose q(x) = 0. Calculate x.
-1, 0, 1
Let n(x) be the first derivative of 6 + 0*x + 1/6*x**3 + 1/8*x**4 + 0*x**2. Factor n(d).
d**2*(d + 1)/2
Factor -848 - 28*a + 37*a**2 + 824 + 24*a**2 - 9*a**2.
4*(a - 1)*(13*a + 6)
Let b = -10 + 13. Let y be (7/(-2)