Suppose -v - 4*m = -0*m - 11, -3*m - 6 = -4*v. Suppose -v*z + 7*z - 36 = 0. Suppose z + 9*p + 8*p**2 - 5*p**2 + 3*p = 0. What is p?
-3, -1
Factor p**2 + p**2 - 27 - 49*p + 41*p + 3.
2*(p - 6)*(p + 2)
Let f = 4 + 6. Let p(x) be the second derivative of -x**4/12 + x**3/3 + 2*x. Let u(k) = 2*k**2 - 3*k. Let t(n) = f*p(n) + 6*u(n). Find m, given that t(m) = 0.
-1, 0
Let w be (12/10)/(4/15). Suppose 138 = 143*n - 291. Find b such that 0 + w*b**2 - 9/2*b**n - b + 3/2*b**5 - 1/2*b**4 = 0.
-2, 0, 1/3, 1
Let i(k) be the first derivative of 3*k**5/20 + 3*k**4/2 + 4*k**3 - 159. Suppose i(b) = 0. What is b?
-4, 0
Let i(c) = -c**3 + 6*c**2 + 5*c - 28. Let n be i(6). What is j in -928/17*j**3 + 744/17*j**n - 128/17*j**4 + 16/17 - 190/17*j = 0?
-8, 1/4
Let k be (3 - (-3 - -5))*7. Suppose 6 = k*c - 4*c. Factor 17*w**2 - 20*w**3 + 18*w**2 + 13*w**c - 16*w.
-4*w*(w - 2)*(5*w - 2)
Suppose -21*g = 27 - 69. Suppose 0*u**g + 3/7*u**3 + 0 - 3/7*u = 0. What is u?
-1, 0, 1
Suppose 2*d + 6 = 14. Let r be d*(3/4)/1. Factor -10/9*u - 2/3*u**r + 14/9*u**2 + 2/9.
-2*(u - 1)**2*(3*u - 1)/9
Let h(i) be the second derivative of -1/375*i**6 + 2/25*i**4 + 0 - 14/75*i**3 + 13*i + 1/5*i**2 - 1/125*i**5. What is n in h(n) = 0?
-5, 1
Let b(s) be the first derivative of 1/14*s**2 + 21 + 1/21*s**3 + 0*s. Find o such that b(o) = 0.
-1, 0
Let h(g) be the first derivative of 0*g + 1/12*g**2 + 15 + 1/18*g**3. Let h(s) = 0. Calculate s.
-1, 0
Let s(g) = -87*g + 438. Let i be s(5). Let w(p) be the first derivative of p**2 + 1/3*p**i + 0*p + 7. Factor w(f).
f*(f + 2)
Let f(a) be the second derivative of a**4/12 + 2*a**3/3 + 3*a**2/2 + 115*a - 1. Factor f(b).
(b + 1)*(b + 3)
Factor -t**3 - 9/7*t + 17/7*t**2 + 0 - 1/7*t**4.
-t*(t - 1)**2*(t + 9)/7
Factor 16*w**3 - 22*w**3 - 9*w**2 + 114 - 223 - 4*w + 109 - w**4.
-w*(w + 1)**2*(w + 4)
Let o = -9 + 9. Suppose o*u + u = 2. Let 5*n**u - 2*n**2 + 4*n**4 - 2*n**5 - 7*n**2 + 2*n = 0. Calculate n.
-1, 0, 1
Let x = 23849/11 - 2168. Factor x*q**2 - 1/11*q + 0.
q*(q - 1)/11
Let m(x) = -30*x - 870. Let y be m(-29). Solve 1/7*q**2 + y*q - 1/7 = 0 for q.
-1, 1
Let d = -76 + 81. Factor -d*x + 3*x**2 + 2*x + 4*x + 8*x.
3*x*(x + 3)
Let j(p) be the first derivative of p**4/28 + 4*p**3/21 + 5*p**2/14 + 2*p/7 + 150. Factor j(s).
(s + 1)**2*(s + 2)/7
Determine g, given that -300*g**2 - 9 + 90*g + 1000/3*g**3 = 0.
3/10
Let h(k) = -k**2 + 2. Let d be h(-2). Let l be 2/(d + (-9)/(-3)). Solve -26 + l*o**4 + 26 + 2*o**2 - 4*o**3 = 0.
0, 1
Let o be (9 + -5)*1/2 - -2. Let x(f) be the third derivative of 0 + 0*f**3 - 1/840*f**7 - 1/480*f**6 + 0*f**o - 3*f**2 + 0*f + 0*f**5. Factor x(i).
-i**3*(i + 1)/4
Let p(k) = 13*k**2 + 27*k + 27. Suppose 17*q = 12*q + 10. Let v(j) = 7*j**2 - 40 - 14*j**q - 8*j**2 - 5*j**2 - 40*j. Let h(t) = 8*p(t) + 5*v(t). Solve h(l) = 0.
-2
Factor 1/5*c**2 + 13/5*c + 22/5.
(c + 2)*(c + 11)/5
Let a be ((-35)/28)/5 - (-6)/8. Let v = 3/7 + 1/14. Factor 0 + a*c + c**2 + v*c**3.
c*(c + 1)**2/2
Let h(j) be the third derivative of -j**7/1092 + j**6/1170 + j**5/156 - j**4/78 + 3*j**3/2 + j**2. Let u(f) be the first derivative of h(f). Solve u(y) = 0.
-1, 2/5, 1
Let a = -37173 + 37175. Suppose -5/2*y**2 - a - 21/2*y = 0. What is y?
-4, -1/5
Let o(d) = 15*d**2 + 3*d. Let t(i) = i. Suppose -4 = -3*n + 5. Let s(l) = -6*l + 1. Let r be s(0). Let p(k) = n*t(k) + r*o(k). Let p(f) = 0. What is f?
-2/5, 0
Suppose 2*u = 5*s - 23, 3*s + 14*u - 14 = 15*u. Let n(g) be the second derivative of 3*g + 7/5*g**5 + 0 + 2/15*g**6 + 6*g**3 + 0*g**2 + s*g**4. Factor n(m).
4*m*(m + 1)*(m + 3)**2
Let a(h) be the second derivative of 5/42*h**7 - 2 + 9/4*h**5 + 5*h + h**6 + 0*h**2 + 0*h**3 + 5/3*h**4. Find l, given that a(l) = 0.
-4, -1, 0
Let h(o) = o**2 + o - 8. Let z be h(-4). Factor -5*y**2 - 2*y**3 + 15*y + 40*y**4 - 12*y**4 - 13*y**3 - 23*y**z.
5*y*(y - 3)*(y - 1)*(y + 1)
Let c(g) be the second derivative of g**6/165 + 3*g**5/110 - g**4/66 - g**3/11 + 15*g. Solve c(l) = 0 for l.
-3, -1, 0, 1
Let t(v) be the third derivative of v**7/1260 + v**6/48 - v**2 + 10. Let t(g) = 0. What is g?
-15, 0
Determine b so that -2/13*b**4 + 0*b + 6/13*b**3 + 2/13*b**2 + 0 - 6/13*b**5 = 0.
-1, -1/3, 0, 1
Let g(v) be the second derivative of 13*v - 2/25*v**6 + 0*v**3 - 27/100*v**5 + 0*v**2 - 1/10*v**4 + 0. Factor g(t).
-3*t**2*(t + 2)*(4*t + 1)/5
Let l be ((-42)/14)/(-1*1). Determine b so that -8*b + 4*b**2 - 4*b**l + 3*b**2 + 8*b**2 - 3*b**2 = 0.
0, 1, 2
Let c(d) be the second derivative of d**4/4 - 3*d**3 + 15*d**2/2 - 4*d + 5. Suppose c(q) = 0. Calculate q.
1, 5
Let 2*i**2 + 4 - 2 - 3 - 1 = 0. Calculate i.
-1, 1
Let i(j) be the third derivative of j**7/315 - j**6/90 - j**5/30 + j**4/9 + 4*j**3/9 - 54*j**2. Solve i(h) = 0 for h.
-1, 2
Let n(g) be the second derivative of -2*g**7/105 - g**6/30 + 2*g**5/15 + 11*g**2 + 15*g. Let i(z) be the first derivative of n(z). What is p in i(p) = 0?
-2, 0, 1
Let j be (3 - 1) + 0/2. Let k = -2 - -4. Factor -13 + 7 - 2*a**2 + 8*a + 5*a**j - 5*a**k.
-2*(a - 3)*(a - 1)
Suppose 72 = 2*i + 3*w + 78, -4*i + 4*w = -8. Suppose i*c - 1 + 1/4*c**2 = 0. What is c?
-2, 2
Suppose -3*u = 0, y - 4*y = -5*u - 111. Find w, given that 42*w + y*w - 5*w**2 + 5*w**4 - 5*w**3 - 74*w = 0.
-1, 0, 1
Factor -39/2*t**2 - 165/2*t - 225/2 - 3/2*t**3.
-3*(t + 3)*(t + 5)**2/2
Suppose -11 - 25 = -18*b. Factor 4*d + 2*d**b - 3*d**4 + 8*d**2 + 5*d**4 + 8*d**3.
2*d*(d + 1)**2*(d + 2)
Let z(m) be the first derivative of 21 - 6/5*m**4 + 4/15*m**6 + 0*m - 34/15*m**3 - 6/5*m**2 + 6/25*m**5. Determine s so that z(s) = 0.
-1, -3/4, 0, 2
Let i(d) be the second derivative of 1/12*d**4 - d**2 + 1/6*d**3 + 0 + 6*d. Factor i(p).
(p - 1)*(p + 2)
Let u(t) be the second derivative of 0*t**3 + 8*t + 0*t**2 + 2/21*t**7 + 1/3*t**4 + 2/5*t**6 + 0 + 3/5*t**5. Determine a, given that u(a) = 0.
-1, 0
Suppose 0 = -55*h + 57*h. Suppose 8*p**5 + 45*p - 10*p**2 + h*p**4 + 25 - 50*p**3 - 15*p**4 + 2*p**5 - 5*p**5 = 0. What is p?
-1, 1, 5
Let g(h) be the first derivative of -h**6/90 - h**5/180 + h**4/36 + h**3/54 + 17*h + 5. Let c(q) be the first derivative of g(q). Determine b so that c(b) = 0.
-1, -1/3, 0, 1
Let m be ((-6818)/6)/(13716/(-162)). Let h = 10/127 + m. Find t, given that 3/2*t**2 + 9*t + h = 0.
-3
Factor 112 - 64*b - 58*b**2 + 176*b**2 - 114*b**2.
4*(b - 14)*(b - 2)
Find n such that 4*n**3 - 12*n + 31*n - 8*n - 50 + 84*n - 40*n**2 - 9*n**3 = 0.
-10, 1
Let i(m) = -m**2 - 10*m - 12. Let k(h) = h**2 - 15*h + 18. Let l be k(13). Let g be i(l). Find j such that 5*j**3 - 12*j**3 + g*j**3 - 3*j**4 = 0.
-1, 0
Let c(v) = -2*v**5 - 14*v**4 + 15*v**3 + 130*v**2 - 278*v - 378. Let j(q) = q**5 + q**4 + q**3 + q + 1. Let p(x) = c(x) + 3*j(x). Suppose p(s) = 0. Calculate s.
-3, -1, 5
Let 370*c + 2643 + 1076 + 5*c**2 - 836 + 3962 = 0. What is c?
-37
Suppose 0*l - 4*l + 28 = 4*x, 0 = x - 4*l + 18. Suppose -9*k + 43*k**2 - 22*k**x - 6 - 24*k**2 = 0. What is k?
-2, -1
Let r = 744/169 + -2/845. Factor 4/5 + 32/5*x**2 + r*x + 14/5*x**3.
2*(x + 1)**2*(7*x + 2)/5
Let c = -7 - -12. Suppose 4*x - 28 = c*g, 0*x + 3*g = x - 14. Find t such that -2*t**2 + 0*t - 2*t**4 + 4*t**4 - x*t**3 + 2*t = 0.
-1, 0, 1
Let r(u) = 5*u**2 + u + 1. Let v be r(-1). Suppose v*w = 4*w. Solve -6 + 12*j + w*j - 3*j**2 - 3*j = 0.
1, 2
Let j(p) = 4*p**5 + 12*p**4 + 15*p**3 + p**2 + 3*p. Let s(a) = 4*a**5 + 12*a**4 + 16*a**3 + 4*a. Let n(y) = -4*j(y) + 3*s(y). Determine b so that n(b) = 0.
-1, 0
Let o(v) = -8*v**3 + v**2 + 2*v. Let r be o(-1). Let a be r/14 - (-3)/2. Factor 2/7*u + 0*u**a - 2/7*u**3 + 0.
-2*u*(u - 1)*(u + 1)/7
Let o(f) be the third derivative of -1/42*f**7 + 1/3*f**6 - 3/2*f**5 + 0*f**4 + 45/2*f**3 + 0*f - 31*f**2 + 0. Determine b, given that o(b) = 0.
-1, 3
Let g = 2359/9452 - -1/2363. Factor -1/4 - 1/4*w + g*w**2 + 1/4*w**3.
(w - 1)*(w + 1)**2/4
Let g be 1/(-2)*28/(-2). Suppose g*i - 16 = 3*i. Determine l, given that -i*l**5 - 4*l**4 + 6*l**2 - 2*l**2 - 16*l**3 + 20*l**5 = 0.
-1, 0, 1/4, 1
Let y(q) be the second derivative of q**5/150 - q**4/45 - q**3/15 + q - 24. Determine x so that y(x) = 0.
-1, 0, 3
Let m(w) be the first derivative of -7*w**5/300 + w**4/24 + w**3/15 - 3*w**2 - 14. Let d(x) be the second derivative of m(x). Factor d(g).
-(g - 1)*(7*g + 2)/5
What is g in 9/5*g**2 + 0 - 1/2*g**3 - 1/5*g**4 + 0*g = 0?
-9/2, 0, 2
Find 