 + 1/21*d**7 - 4*d**2 + 0 + 0*d**5. Solve z(r) = 0.
0, 2
Let g(n) = -n - 5*n**3 + 2*n**3 - 1 + 4*n**3. Let d(p) = -2*p**4 + 6*p**3 + 2*p**2 - 6*p - 4. Let c(a) = d(a) - 4*g(a). Factor c(i).
-2*i*(i - 1)**2*(i + 1)
Suppose g - 4*g + 6 = 0. Factor k - 2*k**3 + k**5 + 1 - 2*k**g + 5*k**4 - 4*k**4 - 2*k**4 + 2*k**4.
(k - 1)**2*(k + 1)**3
Let n be (4 - 1) + 1*-1. Let r(m) = -m**4 - 4*m**3. Let y(t) be the first derivative of t**4/4 + 7. Let v(f) = n*r(f) + 10*y(f). Find h such that v(h) = 0.
0, 1
Let s = -10 - -14. Suppose -52*b**2 + 16*b**5 + 96*b**3 - 43*b**s - 2*b - 4*b + 14*b - 25*b**4 = 0. What is b?
0, 1/4, 1, 2
Let -10*q**4 + 0*q + 4*q**2 + 0 - 94/7*q**3 - 8/7*q**5 = 0. What is q?
-7, -2, 0, 1/4
Factor -137*k**2 + 258 + 76*k**2 + 255*k + 58*k**2.
-3*(k - 86)*(k + 1)
Suppose 58*o - 215 = -21*o + 101. What is p in 0 + 2/5*p**o + 2/5*p**2 + 4/5*p**3 + 0*p = 0?
-1, 0
What is c in 0*c - 4/5*c**2 + 0 - 26/5*c**3 = 0?
-2/13, 0
Factor -5/4*d**2 + 22*d - 52 - 1/4*d**3.
-(d - 4)**2*(d + 13)/4
Let s = -17526 - -17531. Factor -2/13*k**s + 0*k + 6/13*k**4 + 0 + 0*k**3 - 8/13*k**2.
-2*k**2*(k - 2)**2*(k + 1)/13
Let a = -1002 + 5014/5. Factor 4/5 - a*k + 1/5*k**2.
(k - 2)**2/5
Find h, given that 0 + 0*h - 2/15*h**2 + 2/15*h**3 = 0.
0, 1
Let o(n) = n**5 - n**4 + n**2 - 1. Let w(m) = 11*m**5 + 49*m**4 + 102*m**3 + 86*m**2 + 24*m - 2. Let q(b) = -2*o(b) + w(b). Solve q(l) = 0 for l.
-2, -1, -2/3, 0
Let h(q) be the second derivative of q**5/80 - 7*q**4/12 - 59*q**3/24 - 15*q**2/4 - 65*q + 2. Suppose h(u) = 0. Calculate u.
-1, 30
Suppose -4/7*v**5 - 4/7*v**3 + 88/7*v - 32/7 + 20/7*v**4 - 68/7*v**2 = 0. Calculate v.
-2, 1, 4
Let d(v) be the first derivative of -3*v**4/28 + 219*v**3/7 - 17820*v**2/7 - 36300*v/7 + 626. Suppose d(l) = 0. What is l?
-1, 110
Let k be ((-216)/64)/(-9) - (-36)/32. Solve k*c + 1 + 1/2*c**2 = 0.
-2, -1
Let f be (-6)/5 - 0 - -2. Suppose -44*b = -b - 129. Find w, given that f*w**2 - 1/5*w**b - 4/5*w + 0 = 0.
0, 2
Let b(a) = 3*a**5 - 7*a**4 - 25*a**3 - 13*a**2 + 2*a. Let y(x) = 50*x**5 - 120*x**4 - 425*x**3 - 220*x**2 + 35*x. Let d(i) = 35*b(i) - 2*y(i). Factor d(q).
5*q**2*(q - 3)*(q + 1)**2
Let z = 5587/2 - 2789. Let g(p) be the first derivative of -z*p**4 + 0*p + 5 + 3/5*p**5 + 12*p**3 - 12*p**2. Find m such that g(m) = 0.
0, 2
Let u(a) be the first derivative of a**6/180 - a**5/30 + 4*a**3/9 - 12*a**2 + 6. Let g(m) be the second derivative of u(m). What is l in g(l) = 0?
-1, 2
Let s(c) be the first derivative of 13 - 1/4*c**4 - 4/3*c**3 + 0*c - 3/2*c**2. Suppose s(n) = 0. What is n?
-3, -1, 0
Let w = 2/1571 - -20415/6284. Let z = -340 - -345. Factor -3/4*h**4 + 1/2*h**z + w*h**2 - 9/4*h + 1/2 - 5/4*h**3.
(h - 1)**3*(h + 2)*(2*h - 1)/4
Let r(j) = j**3 + 2. Let h(t) = -4*t**5 - 32*t**4 - 98*t**3 - 128*t**2 - 64*t - 4. Let a(d) = -h(d) - 2*r(d). Find b such that a(b) = 0.
-2, 0
Let l = -82558/3 - -27520. Solve -48*y + 23/3*y**3 + 0 + 8*y**2 - l*y**4 - 1/3*y**5 = 0 for y.
-4, 0, 3
Let z = 245 - 197. Let s be 28/z - 3/12. Suppose -1/6*x - 1/3 + 1/6*x**3 + s*x**2 = 0. What is x?
-2, -1, 1
Let s = 254 - 761/3. Let f(u) be the second derivative of -3/10*u**5 + 0*u**2 + 0 - u - s*u**3 - 1/15*u**6 - 1/2*u**4. Factor f(y).
-2*y*(y + 1)**3
Let w(c) be the second derivative of c**4/6 + 2*c**3 + 5*c**2 + 2*c - 13. Factor w(y).
2*(y + 1)*(y + 5)
Let x(y) = 18*y - 7. Let t be x(7). Let c = t + -114. Determine v so that 2/9*v**c + 10/9*v**2 - 2/9*v**4 - 4/9*v - 2/3*v**3 + 0 = 0.
-2, 0, 1
Let t(u) = -15*u**3 - 174*u**2 - 366*u - 270. Let c(i) = -3*i**3 - 35*i**2 - 73*i - 53. Let l(r) = 21*c(r) - 4*t(r). Suppose l(w) = 0. Calculate w.
-11, -1
Let j(m) = 6*m**5 - 3*m**4 + 90*m**3 + 115*m**2 + 44*m - 7. Let n(v) = v**5 - 3*v**4 + v**3 + v**2 - 1. Let h(y) = 5*j(y) - 35*n(y). Solve h(l) = 0 for l.
-2, -1, 0, 22
Suppose -40/9*p**2 - 46/9*p + 4/3 + 2*p**3 = 0. Calculate p.
-1, 2/9, 3
Let z be (33/(-22))/(3/4). Let r be ((-8)/12*z)/((-1)/(-2)). Factor -2/3*u**2 + r*u - 8/3.
-2*(u - 2)**2/3
Let g(v) be the second derivative of -v**7/5670 + v**6/3240 - 11*v**4/12 + 6*v. Let r(t) be the third derivative of g(t). Factor r(c).
-2*c*(2*c - 1)/9
Suppose 2*x - 3*n = -660, 3*n - 4 = 2*n. Let b = 324 + x. Factor 4/3*f**2 + b*f + 0 + 4/3*f**3.
4*f**2*(f + 1)/3
Let -3*l**3 + 27/5*l**2 - 3 - 4/5*l**4 + 7/5*l = 0. What is l?
-5, -3/4, 1
Let w(p) be the second derivative of -2*p**7/7 - 8*p**6/15 - p**5/5 - 16*p - 3. Factor w(m).
-4*m**3*(m + 1)*(3*m + 1)
Let u(x) be the first derivative of 27/8*x**2 + 1/16*x**4 + 3/4*x**3 - 2 + 8*x. Let n(k) be the first derivative of u(k). Factor n(v).
3*(v + 3)**2/4
Let t(b) be the second derivative of -b**6/24 + 7*b**5/12 - 10*b**4/3 + 10*b**3 + 7*b**2 + 12*b. Let s(x) be the first derivative of t(x). Factor s(j).
-5*(j - 3)*(j - 2)**2
Let m(u) be the first derivative of -2*u**3/33 + 7*u**2/11 - 12*u/11 - 45. Let m(a) = 0. What is a?
1, 6
Let l = -4533/5 - -13624/15. Factor -l*h**2 - 5 + 5/3*h**3 - 25/3*h.
5*(h - 3)*(h + 1)**2/3
Factor -83/3*z - 11/3*z**3 - 58/3*z**2 - 12.
-(z + 1)**2*(11*z + 36)/3
Suppose -2*h - 6 + 26 = 0. Factor -10 + 5*w**2 + 5*w**4 - 5*w + 29*w**3 - h*w - 38*w**3 + 24*w**3.
5*(w - 1)*(w + 1)**2*(w + 2)
Factor 0 + 18*b**2 - 3/5*b**4 + 0*b - 87/5*b**3.
-3*b**2*(b - 1)*(b + 30)/5
Let u be 4/(-28)*(-378)/(18/1). Let u*d**2 + 0 - 2/5*d = 0. What is d?
0, 2/15
Factor -24/7*y**3 + 36/7*y**2 - 42 + 2/7*y**4 + 40*y.
2*(y - 7)**2*(y - 1)*(y + 3)/7
Let j(o) be the first derivative of 1 + 1/1080*o**6 - 1/24*o**4 + 0*o**2 + 0*o + 4/3*o**3 - 1/180*o**5. Let p(x) be the third derivative of j(x). Factor p(m).
(m - 3)*(m + 1)/3
Let m be 5 + (4 - 0) + 15/(-5). Let v(z) be the third derivative of 1/12*z**5 - 1/30*z**7 + 1/3*z**3 - 3/8*z**4 + 0*z + 0 + 3/40*z**m - 5*z**2. Factor v(a).
-(a - 1)**2*(a + 1)*(7*a - 2)
Let 40/9 + 1/9*u**2 + 22/9*u = 0. Calculate u.
-20, -2
Suppose -185*z - 239*z + 334*z**2 - 34*z**2 + 28*z**3 + 96 = 0. What is z?
-12, 2/7, 1
Let b(c) be the third derivative of -c**5/70 - 19*c**4/28 - 34*c**3/7 - 54*c**2 + 1. Find p, given that b(p) = 0.
-17, -2
Let d(t) = -t**4 + 8*t**3 - 2*t + 7. Let x = 9 - 26. Let u(w) = 6*w - 23*w**3 - w**4 + 4*w**2 + 4*w**4 - 4*w**2 - 20. Let y(l) = x*d(l) - 6*u(l). Factor y(b).
-(b - 1)**3*(b + 1)
Let d = 276 + -271. Let g(w) be the first derivative of 1/2*w**4 - d - 4/3*w**3 - w**2 + 4*w. Factor g(v).
2*(v - 2)*(v - 1)*(v + 1)
Let a(s) = -s**3 - 2*s**2 + 9*s + 6. Let l(h) = -3*h**3 - 9*h**2 + 36*h + 24. Suppose 16 = -5*k + 6. Let i(g) = k*l(g) + 9*a(g). Let i(z) = 0. Calculate z.
-1, 2
Let v(q) = -75*q**3 + 12*q + 145*q**3 - q**2 - 24 + 8*q**2 - 71*q**3. Let g be v(8). Suppose -g*o**2 - 4/3 - 10/3*o**3 - 6*o = 0. Calculate o.
-1, -2/5
Let j(t) = 122*t - 1462. Let a be j(12). Let d(u) be the first derivative of 36*u - 1 + 28/3*u**3 + u**4 + 30*u**a. Determine p, given that d(p) = 0.
-3, -1
Let i be (33/9)/((-1)/(-6)). Suppose 4*h = -4*o + 6*h + 12, h = -5*o + i. Determine t so that 0 + 0*t + o*t**2 - 4/3*t**3 = 0.
0, 3
Let d(w) be the first derivative of -2*w**5/5 - 7*w**4/4 - 7*w**3/3 - w**2 + 135. Suppose d(u) = 0. Calculate u.
-2, -1, -1/2, 0
Let x(n) be the third derivative of -6*n**2 + 0*n**4 + 0 + 0*n - 1/1620*n**6 + 2/3*n**3 + 1/270*n**5. Let f(z) be the first derivative of x(z). Solve f(c) = 0.
0, 2
Let p(x) = x**2 + 10*x - 3. Let s(m) = 3*m**2 + 20*m - 7. Let a(h) = -7*p(h) + 3*s(h). Factor a(d).
2*d*(d - 5)
Find j, given that 174*j + 25*j**2 - 24*j**2 - 4*j**3 - 11*j**3 + 20*j**2 - 72 = 0.
-3, 2/5, 4
Let b = 21 - 17. Solve 6*h**2 + 4*h**5 + 86*h**b - 3*h - 92*h**4 - 5*h**5 + 4*h**5 = 0 for h.
-1, 0, 1
Let p(i) be the second derivative of -1/7*i**2 + 33*i + 1/84*i**4 + 1/42*i**3 + 0. Let p(z) = 0. Calculate z.
-2, 1
Let f = -61 - 51. Let t = 229/2 + f. Factor -l**3 + 0 - 7/2*l**4 - t*l**5 + 0*l**2 + 0*l.
-l**3*(l + 1)*(5*l + 2)/2
Let w(k) be the third derivative of -k**6/40 + 3*k**5/10 + k**4/8 - 3*k**3 + 55*k**2 + k. Determine a so that w(a) = 0.
-1, 1, 6
Let j(g) = g**4 + 8*g**3 + 4*g**2 - 3*g + 3. Let a(k) = -4*k**2 + 19*k - 8*k**3 + 4 - 8 - 15*k. Let f(t) = -3*a(t) - 4*j(t). Factor f(o).
-4*o**2*(o + 1)**2
Let c(x) = -x + 9. Let j be c(9). Suppose -27 = -h + 2*t, -t = 4*h - j*t - 81. Suppose -u - 2*u**3 + 3 - 8*u - h + 10*u**2 + 3*u = 0. What is u?
-1, 3
Let 12*c - c**