or -1/2*z**2 - z - x.
-(z + 1)**2/2
Let h(v) be the first derivative of 3*v**5/5 - 15*v**4/4 + 7*v**3 - 9*v**2/2 - 103. Factor h(u).
3*u*(u - 3)*(u - 1)**2
Let b = -65539/3 - -21847. Solve 0 - b*q**2 + 2*q = 0 for q.
0, 3
Suppose 2*i + 36 = -i. Let j(c) = c**3 + 13*c**2 + 13*c + 14. Let f be j(i). Factor 2*b + b**2 - 2*b**2 - f*b**2 + 2*b**2 - 1.
-(b - 1)**2
Determine z, given that 2/5*z**4 + 8/5*z - 2/5*z**3 + 0 - 8/5*z**2 = 0.
-2, 0, 1, 2
Let i(r) be the first derivative of -18*r**3 - 243/5*r + 9/2*r**4 + 1/30*r**6 + 81/2*r**2 + 39 - 3/5*r**5. Factor i(m).
(m - 3)**5/5
Let j(p) be the third derivative of -1/28*p**5 + 1/70*p**6 + 0*p**3 + 0*p + 1/28*p**4 - 1/490*p**7 + 13*p**2 + 0. Solve j(d) = 0 for d.
0, 1, 2
Factor -7245*a**2 + 304*a**3 - 4835*a**2 + 265302 - 3220*a**2 - 2*a**4 + 249696*a.
-2*(a - 51)**3*(a + 1)
Let z be 0*(-1 + (-2)/(-4)). Let o = 107826 + -107823. Find p such that z + 0*p**2 + 3/2*p**o - 3/2*p = 0.
-1, 0, 1
Suppose -144 + 73 = -208*v + 345. Suppose 0*t**4 - 1/5*t**5 + 0*t**v + 0*t + 0 + 1/5*t**3 = 0. What is t?
-1, 0, 1
Solve -1/4*x**2 - 17 + 69/4*x = 0.
1, 68
Determine w so that -1/6*w**3 + 0 + 58/3*w**2 - 1682/3*w = 0.
0, 58
Let x(r) be the third derivative of -r**7/280 + 9*r**6/160 - r**5/40 - 21*r**4/8 - 9*r**3 + 3*r**2 - 17*r. Determine a, given that x(a) = 0.
-2, -1, 6
Suppose k + 5 = 2*l, 4*k - 5*l = -21 - 14. Let g = -13 - k. Determine j, given that -18*j + 26 + 2*j - 9*j**g - 5*j - 8 = 0.
-3, 2/3
Let n(u) be the third derivative of -u**6/120 + u**5/6 + 57*u**2 - 3*u. What is v in n(v) = 0?
0, 10
Factor 23/5*k + 1/5*k**3 - 2*k**2 - 14/5.
(k - 7)*(k - 2)*(k - 1)/5
Let k(c) be the second derivative of c**4/4 - c**3 - 9*c**2/2 + 103*c - 4. Determine d, given that k(d) = 0.
-1, 3
Let l be (7*(-63)/5880)/((-3)/2). Let t(f) be the second derivative of 3*f + 0*f**2 + 0*f**4 - l*f**5 + 0*f**3 + 0. What is o in t(o) = 0?
0
Let t(f) be the first derivative of -2/5*f - 1/15*f**3 - 13 + 3/10*f**2. Factor t(k).
-(k - 2)*(k - 1)/5
Let x(a) = a**3 - 3*a**2 - 6*a + 18. Let n be x(3). Determine q so that -1/4*q**2 + n - 1/8*q - 1/8*q**3 = 0.
-1, 0
Suppose -18/23 - 2/23*m**2 + 12/23*m = 0. Calculate m.
3
Let n(d) be the first derivative of 1/30*d**5 + 13*d - 1/9*d**3 + 0*d**4 + 0*d**2 + 7. Let k(j) be the first derivative of n(j). Determine w so that k(w) = 0.
-1, 0, 1
Let m(z) be the second derivative of -5*z**7/126 - 5*z**6/18 - 5*z**5/6 - 25*z**4/18 - 25*z**3/18 - 5*z**2/6 + 536*z. Factor m(r).
-5*(r + 1)**5/3
Let m(x) be the third derivative of -x**7/105 - 7*x**6/30 - 17*x**5/30 + 20*x**4/3 - 16*x**3 + 6*x**2. Let m(k) = 0. Calculate k.
-12, -4, 1
Let y = 61 + -61. Suppose y = 2*u + 44 - 50. Factor 5/2*w**u - 5/2*w + 1 - w**2.
(w - 1)*(w + 1)*(5*w - 2)/2
Let n = 2 + 18. Find a such that 24*a + 6*a**4 + 5*a**2 - n*a**3 - 849 + 841 + a**2 = 0.
-1, 1/3, 2
Suppose 27 - 90 = -3*x. What is j in 5*j**2 - 6 + 12*j**2 - x*j**2 + 5*j + 5*j**2 = 0?
-6, 1
Let p = 5/61 - -173/122. Solve -1/2*x**2 - 1 + p*x = 0 for x.
1, 2
Let f(c) be the second derivative of 5*c**4/12 + 185*c**3/6 - 95*c**2 - 158*c. Let f(b) = 0. Calculate b.
-38, 1
Let v = -108091/11 + 9809. Let j = -2364/143 - v. Suppose -j*n - 44/13*n**3 + 10/13*n**4 + 0 + 46/13*n**2 = 0. Calculate n.
0, 2/5, 1, 3
Let o = -3437 - -3439. Find w, given that 15/7*w + 0 + 3/7*w**3 + 18/7*w**o = 0.
-5, -1, 0
Find v such that 15/4*v - 21/2 - 3/2*v**5 - 39/4*v**4 + 129/4*v**2 + 39/4*v**3 = 0.
-7, -1, 1/2, 2
Factor -264*w - 366*w**2 - 73 + 74 + 262 + 367*w**2.
(w - 263)*(w - 1)
Let b be 4 + (-3)/(12/16). Let r + 4*r**2 - 5*r + b*r + 0*r**2 = 0. What is r?
0, 1
Suppose -2*y + 8 = 4*h, 5*y - 70 + 24 = 3*h. Let 4*z - 10*z - 4*z**3 + y*z + 2*z**3 = 0. What is z?
-1, 0, 1
Factor -11/2*j**4 + 19/2*j + j**2 + 9/2 - 9*j**3 - 1/2*j**5.
-(j - 1)*(j + 1)**3*(j + 9)/2
Let v(c) = -c**3 - 7*c**2 + 9*c + 10. Let r be v(-8). Let s be 0/((-1 - -2 - 4) + r). Let -3/2*u**3 + s - 3/2*u**2 + 3/2*u**4 + 3/2*u = 0. What is u?
-1, 0, 1
Factor -400 + 51*v**2 - 105*v**2 + 53*v**2 + 40*v.
-(v - 20)**2
Factor 43740*j - 2*j**3 - 83025 + 20*j**3 + 870345 - 10*j**3 - 3*j**3 + 810*j**2.
5*(j + 54)**3
Let 1/4*a**3 - 1/8*a + 5/8*a**4 - 1/8*a**5 + 5/8 - 5/4*a**2 = 0. Calculate a.
-1, 1, 5
Let r be 644/168 + 10/60. Determine k, given that 8/3*k**2 + 4/3*k**5 - r*k**3 + 0*k + 0 + 0*k**4 = 0.
-2, 0, 1
Let k = -3471 - -6943/2. Factor -1/2 - 3/2*s**2 + k*s**3 + 3/2*s.
(s - 1)**3/2
Let f = -42573/5 - -8517. Let f*v**2 + 0*v**3 + 8/5*v - 4/5*v**4 + 0 = 0. What is v?
-1, 0, 2
Let f(o) be the first derivative of 3/2*o**2 + 0*o**4 - 1/120*o**6 + 0*o + 1/30*o**5 + 4 + 0*o**3. Let v(m) be the second derivative of f(m). Factor v(q).
-q**2*(q - 2)
Let y be ((-3)/9)/((-1302)/2232). Suppose -5/7*g**3 - 1/7*g**4 + y + 5/7*g - 3/7*g**2 = 0. Calculate g.
-4, -1, 1
Let n(j) = j**2 + 6*j - 8. Let p be n(-8). Let o be (44/8 + -6)*p/(-6). Determine c so that -o*c**2 + 4/3 - 2/3*c = 0.
-2, 1
Let v(l) = -14*l**2 - 44*l + 42. Let z(r) = 39*r**2 + 132*r - 127. Let f(c) = 11*v(c) + 4*z(c). Let f(u) = 0. What is u?
-23, 1
Let f(d) be the third derivative of -d**9/40320 + d**8/6720 - d**7/3360 - 41*d**5/60 - 24*d**2. Let v(q) be the third derivative of f(q). Factor v(g).
-3*g*(g - 1)**2/2
Let l(k) be the first derivative of -5*k**4/4 + 85*k**3/3 - 110*k**2 + 140*k + 104. Determine v so that l(v) = 0.
1, 2, 14
Let u(t) = -6*t**3 + 8*t**2 - 26*t - 22. Let n(b) = b**3 + b - 1. Suppose 3*w - 8*h - 23 = -4*h, 4*h = -3*w - 17. Let z(q) = w*u(q) + 10*n(q). Factor z(o).
4*(o - 2)*(o + 2)**2
Let c(l) = -l**2 + l. Suppose w = 6*w - 60. Let p(r) = 8 - 10*r + 17*r + 1 - w*r. Let n(s) = 3*c(s) - 3*p(s). Determine h so that n(h) = 0.
3
Let l(n) = n**2 + 14*n + 15. Let y(i) = 2*i**2 + 26*i + 30. Let x(z) = -5*l(z) + 3*y(z). Determine m so that x(m) = 0.
-5, -3
Suppose 0 = -i + 236 + 145. Let m = 5717/15 - i. Find t, given that 4/15 + 2/5*t + m*t**2 = 0.
-2, -1
Let p(c) be the second derivative of c**6/330 + c**5/220 - 14*c**4/33 + 24*c**3/11 - 303*c. Find t, given that p(t) = 0.
-9, 0, 4
Determine b, given that -33*b + 5*b**2 + 24 + 26 - 2*b = 0.
2, 5
Suppose 8 = -i + 4*d, -4*d = -0*d - 8. Let g be (0 - 2)*1/(-4). Factor -g*k + k**2 + i.
k*(2*k - 1)/2
Let t be 4*(-1)/((-2)/11). Let n = 24 - t. Factor -1/3*l**n - 2/3*l + 0.
-l*(l + 2)/3
Let g be (-2)/4*(-4)/(-6)*3. Let c(a) = -a**4 + a. Let o(k) = 6*k**4 + 2*k**3 - 2*k**2 - 6*k. Let h(n) = g*o(n) - 4*c(n). Solve h(b) = 0.
-1, 0, 1
Let o = 24 + -13. Let k be 83/1 - (15 - o). Solve k*x**3 + 15*x**2 + 10 - 76*x**3 - 1 + 21*x = 0.
-3, -1
Let y(r) = -r**3 + 23*r**2 - r + 23. Suppose -n - p - p = -25, 4*n = -4*p + 96. Let k be y(n). Find l such that -1/4*l**2 + k + 1/2*l = 0.
0, 2
Let -81/4*a**5 - 417/2*a**2 + 135/4*a**3 - 54 + 81*a**4 - 207*a = 0. What is a?
-2/3, 3
Let f be (95/(-190))/((-1)/4). Let t(u) be the first derivative of 0*u**f - 2/9*u**3 + 2/3*u + 3. Solve t(a) = 0.
-1, 1
Let y(v) be the third derivative of v**6/120 + 4*v**5/5 + 24*v**4 + 14*v**2 + 2. Suppose y(b) = 0. Calculate b.
-24, 0
Let j(p) be the third derivative of 2*p**7/105 + 7*p**6/30 + p**5/3 - 7*p**4/6 - 4*p**3 - 94*p**2 + 2*p. What is h in j(h) = 0?
-6, -1, 1
Let o be (-9 - 114/(-10)) + (-4)/10. Factor -8/3*m - 1/3*m**3 + 4/3 + 5/3*m**o.
-(m - 2)**2*(m - 1)/3
Let x(o) = 3*o**3 + 9*o**2 + 34*o + 108. Let k be x(-3). Let k*h**2 + 3/2*h**5 - 6*h**3 + 0 + 0*h - 3/2*h**4 = 0. What is h?
-2, 0, 1, 2
Factor -x**2 + 5*x**3 - x**3 - 19*x**2 + 3*x**3 - 3*x**3 + 24*x.
4*x*(x - 3)*(x - 2)
Let o(d) be the first derivative of -d**4/42 + 2*d**3/21 + 3*d**2/7 + 10*d + 21. Let m(y) be the first derivative of o(y). Factor m(f).
-2*(f - 3)*(f + 1)/7
Determine u, given that -5/2*u**2 - 1/6*u**4 + 7/6*u**3 - 2/3 + 13/6*u = 0.
1, 4
Suppose 0*c - 4*c = -12. What is d in 0*d**3 + 24*d**2 + 13*d - 2*d + 10*d + c*d**3 = 0?
-7, -1, 0
Factor -312*q**4 + 3407*q**5 - 3379*q**5 + 2133*q + 1304*q**3 - 2448*q**2 - 297*q - 216.
4*(q - 3)**3*(q - 2)*(7*q - 1)
Let f(z) be the first derivative of z**7/168 + z**6/24 + z**5/12 - 3*z**3 - 11. Let d(w) be the third derivative of f(w). Factor d(j).
5*j*(j + 1)*(j + 2)
Let p be 2 + 6/(-7) + 80*5/(-595). Find i such that -2/17*i**2 - 6/17 - p*i = 0.
-3, -1
Let o = 22 + -16. Suppose 0 = -2*t + w - o + 21, -4*t - 3*w = -15. What is h in -t*h 